diff --git a/.gitattributes b/.gitattributes index b096658f8..c2785cf15 100644 --- a/.gitattributes +++ b/.gitattributes @@ -8,6 +8,7 @@ *.jpg binary *.hdf5 binary *.pdf binary +*.dream3d binary # ignore files from MSC.Marc in language statistics installation/mods_MarcMentat/20*/* linguist-vendored diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml index 501b9e193..5c6d1d6f6 100644 --- a/.gitlab-ci.yml +++ b/.gitlab-ci.yml @@ -20,11 +20,12 @@ stages: ################################################################################################### before_script: - - if [ $(awk "/$CI_PIPELINE_ID/{print NR}" $TESTROOT/GitLabCI.queue)x == 'x' ]; - then echo $CI_PIPELINE_ID >> $TESTROOT/GitLabCI.queue; + - if [ $(awk "/$CI_PIPELINE_ID/{print NR}" $LOCAL_HOME/GitLabCI.queue)x == 'x' ]; + then echo $CI_PIPELINE_ID >> $LOCAL_HOME/GitLabCI.queue; fi - - while [ $(awk "/$CI_PIPELINE_ID/{print NR}" $TESTROOT/GitLabCI.queue) != 1 ]; + - while [ $(awk "/$CI_PIPELINE_ID/{print NR}" $LOCAL_HOME/GitLabCI.queue) != 1 ]; do sleep 5m; + echo -e "Currently queued pipelines:\n$(cat $LOCAL_HOME/GitLabCI.queue)\n"; done - source $DAMASKROOT/env/DAMASK.sh - cd $DAMASKROOT/PRIVATE/testing @@ -44,13 +45,13 @@ variables: # =============================================================================================== # Shortcut names # =============================================================================================== - DAMASKROOT: "$TESTROOT/GitLabCI_Pipeline_$CI_PIPELINE_ID/DAMASK" + DAMASKROOT: "$LOCAL_HOME/GitLabCI_Pipeline_$CI_PIPELINE_ID/DAMASK" + TESTROOT: "$LOCAL_HOME/GitLabCI_Pipeline_$CI_PIPELINE_ID/tests" # =============================================================================================== # Names of module files to load # =============================================================================================== # ++++++++++++ Compiler +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ - IntelCompiler16_4: "Compiler/Intel/16.4 Libraries/IMKL/2016" IntelCompiler17_8: "Compiler/Intel/17.8 Libraries/IMKL/2017" IntelCompiler18_4: "Compiler/Intel/18.4 Libraries/IMKL/2018" GNUCompiler8_2: "Compiler/GNU/8.2" @@ -70,30 +71,25 @@ variables: PETSc_MPICH_Intel: "$PETSc3_10_3IMPI2018Intel18_4" PETSc_MPICH_GNU: "$PETSc3_10_3MPICH3_3GNU8_2" # ++++++++++++ commercial FEM ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ - MSC2018_1: "FEM/MSC/2018.1" - MSC2019: "FEM/MSC/2019" + MSC2019_1: "FEM/MSC/2019.1" # ------------ Defaults ---------------------------------------------- - MSC: "$MSC2019" + MSC: "$MSC2019_1" IntelMarc: "$IntelCompiler17_8" HDF5Marc: "HDF5/1.10.5/Intel-17.8" - # ++++++++++++ Documentation ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ - Doxygen1_8_17: "Documentation/Doxygen/1.8.17" - # ------------ Defaults ---------------------------------------------- - Doxygen: "$Doxygen1_8_17" - ################################################################################################### checkout: stage: prepareAll before_script: - - echo $CI_PIPELINE_ID >> $TESTROOT/GitLabCI.queue - - while [ $(awk "/$CI_PIPELINE_ID/{print NR}" $TESTROOT/GitLabCI.queue) != 1 ]; + - echo $CI_PIPELINE_ID >> $LOCAL_HOME/GitLabCI.queue + - while [ $(awk "/$CI_PIPELINE_ID/{print NR}" $LOCAL_HOME/GitLabCI.queue) != 1 ]; do sleep 5m; + echo -e "Currently queued pipelines:\n$(cat $LOCAL_HOME/GitLabCI.queue)\n"; done script: - mkdir -p $DAMASKROOT + - mkdir -p $TESTROOT - cd $DAMASKROOT - - if [ -d DAMASK ]; then rm -rf DAMASK; fi # there might be some leftovers from a failed clone - git clone -q git@magit1.mpie.de:damask/DAMASK.git . - git checkout $CI_COMMIT_SHA - git submodule update --init @@ -108,7 +104,7 @@ Pytest_python: stage: python script: - cd $DAMASKROOT/python - - pytest + - pytest --basetemp=${TESTROOT}/python -v except: - master - release @@ -143,20 +139,6 @@ Pre_General: - release ################################################################################################### -Post_AverageDown: - stage: postprocessing - script: averageDown/test.py - except: - - master - - release - -Post_ASCIItable: - stage: postprocessing - script: ASCIItable/test.py - except: - - master - - release - Post_General: stage: postprocessing script: PostProcessing/test.py @@ -192,21 +174,6 @@ Post_addGradient: - master - release -Post_ParaviewRelated: - stage: postprocessing - script: ParaviewRelated/test.py - except: - - master - - release - -Post_OrientationConversion: - stage: postprocessing - script: - - OrientationConversion/test.py - except: - - master - - release - Post_OrientationAverageMisorientation: stage: postprocessing script: @@ -222,6 +189,8 @@ grid_mech_compile_Intel: - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel - cp -r grid_mech_compile grid_mech_compile_Intel - grid_mech_compile_Intel/test.py + - cd pytest + - pytest -k 'compile and grid' --basetemp=${TESTROOT}/compile_grid_Intel except: - master - release @@ -232,6 +201,8 @@ Compile_FEM_Intel: - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel - cp -r FEM_compile FEM_compile_Intel - FEM_compile_Intel/test.py + - cd pytest + - pytest -k 'compile and mesh' --basetemp=${TESTROOT}/compile_mesh_Intel except: - master - release @@ -242,6 +213,8 @@ grid_mech_compile_GNU: - module load $GNUCompiler $MPICH_GNU $PETSc_MPICH_GNU - cp -r grid_mech_compile grid_mech_compile_GNU - grid_mech_compile_GNU/test.py + - cd pytest + - pytest -k 'compile and grid' --basetemp=${TESTROOT}/compile_grid_GNU except: - master - release @@ -252,6 +225,8 @@ Compile_FEM_GNU: - module load $GNUCompiler $MPICH_GNU $PETSc_MPICH_GNU - cp -r FEM_compile FEM_compile_GNU - FEM_compile_GNU/test.py + - cd pytest + - pytest -k 'compile and mesh' --basetemp=${TESTROOT}/compile_mesh_GNU except: - master - release @@ -268,6 +243,16 @@ Compile_Intel_Prepare: - release ################################################################################################### +Pytest_grid: + stage: grid + script: + - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel + - cd pytest + - pytest -k 'not compile' --basetemp=${TESTROOT}/fortran -v + except: + - master + - release + Thermal: stage: grid script: Thermal/test.py @@ -275,13 +260,6 @@ Thermal: - master - release -grid_packedGeometry: - stage: grid - script: grid_packedGeometry/test.py - except: - - master - - release - grid_parsingArguments: stage: grid script: grid_parsingArguments/test.py @@ -289,27 +267,6 @@ grid_parsingArguments: - master - release -StateIntegration_compareVariants: - stage: grid - script: StateIntegration_compareVariants/test.py - except: - - master - - release - -nonlocal_densityConservation: - stage: grid - script: nonlocal_densityConservation/test.py - except: - - master - - release - -RGC_DetectChanges: - stage: grid - script: RGC_DetectChanges/test.py - except: - - master - - release - Nonlocal_Damage_DetectChanges: stage: grid script: Nonlocal_Damage_DetectChanges/test.py @@ -324,29 +281,6 @@ grid_all_restart: - master - release -grid_parsingLoadCase: - stage: grid - script: grid_parsingLoadCase/test.py - except: - - master - - release - -grid_all_loadCaseRotation: - stage: grid - script: grid_all_loadCaseRotation/test.py - except: - - master - - release - -grid_mech_MPI: - stage: grid - script: - - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel - - grid_mech_MPI/test.py - except: - - master - - release - grid_all_restartMPI: stage: grid script: @@ -363,13 +297,6 @@ Plasticity_DetectChanges: - master - release -Homogenization: - stage: grid - script: Homogenization/test.py - except: - - master - - release - Phenopowerlaw_singleSlip: stage: grid script: Phenopowerlaw_singleSlip/test.py @@ -377,21 +304,13 @@ Phenopowerlaw_singleSlip: - master - release -Pytest_grid: - stage: grid - script: - - cd pytest - - pytest - except: - - master - - release - ################################################################################################### Marc_compileIfort: stage: compileMarc script: - module load $IntelMarc $HDF5Marc $MSC - - Marc_compileIfort/test.py + - cd pytest + - pytest -k 'compile and Marc' --basetemp=${TESTROOT}/compile_Marc except: - master - release @@ -457,10 +376,10 @@ SpectralRuntime: - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel - cd $DAMASKROOT - make clean grid processing OPTIMIZATION=AGGRESSIVE - - cd $TESTROOT/performance # location of old results + - cd $LOCAL_HOME/performance # location of old results - git checkout . # undo any changes (i.e. run time data from non-development branch) - cd $DAMASKROOT/PRIVATE/testing - - SpectralAll_runtime/test.py -d $TESTROOT/performance + - SpectralAll_runtime/test.py -d $LOCAL_HOME/performance except: - master - release @@ -476,20 +395,10 @@ createTar: - release ################################################################################################### -Marc: +Python: stage: createDocumentation script: - - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel $Doxygen - - $DAMASKROOT/PRIVATE/documenting/runDoxygen.sh $DAMASKROOT marc - except: - - master - - release - -GridSolver: - stage: createDocumentation - script: - - module load $IntelCompiler $MPICH_Intel $PETSc_MPICH_Intel $Doxygen - - $DAMASKROOT/PRIVATE/documenting/runDoxygen.sh $DAMASKROOT grid + - echo 'tbd one matesting1' except: - master - release @@ -498,11 +407,11 @@ GridSolver: backupData: stage: saveDocumentation script: - - cd $TESTROOT/performance # location of new runtime results + - cd $LOCAL_HOME/performance # location of new runtime results - git commit -am"${CI_PIPELINE_ID}_${CI_COMMIT_SHA}" - mkdir $BACKUP/${CI_PIPELINE_ID}_${CI_COMMIT_SHA} - - mv $TESTROOT/performance/time.png $BACKUP/${CI_PIPELINE_ID}_${CI_COMMIT_SHA}/ - - mv $TESTROOT/performance/memory.png $BACKUP/${CI_PIPELINE_ID}_${CI_COMMIT_SHA}/ + - mv $LOCAL_HOME/performance/time.png $BACKUP/${CI_PIPELINE_ID}_${CI_COMMIT_SHA}/ + - mv $LOCAL_HOME/performance/memory.png $BACKUP/${CI_PIPELINE_ID}_${CI_COMMIT_SHA}/ - mv $DAMASKROOT/PRIVATE/documenting/DAMASK_* $BACKUP/${CI_PIPELINE_ID}_${CI_COMMIT_SHA}/ only: - development @@ -530,10 +439,10 @@ mergeIntoMaster: removeData: stage: clean before_script: - - echo 'Do nothing' + - echo "Removing data and lock of pipeline $CI_PIPELINE_ID" script: - - rm -rf $TESTROOT/GitLabCI_Pipeline_$CI_PIPELINE_ID - - sed -i "/$CI_PIPELINE_ID/d" $TESTROOT/GitLabCI.queue # in case pipeline was manually (web GUI) restarted and releaseLock was performed already + - rm -rf $LOCAL_HOME/GitLabCI_Pipeline_$CI_PIPELINE_ID + - sed -i "/$CI_PIPELINE_ID/d" $LOCAL_HOME/GitLabCI.queue # in case pipeline was manually (web GUI) restarted and releaseLock was performed already except: - master - release @@ -542,9 +451,9 @@ removeData: removeLock: stage: releaseLock before_script: - - echo 'Do nothing' + - echo "Removing lock of pipeline $CI_PIPELINE_ID" when: always - script: sed -i "/$CI_PIPELINE_ID/d" $TESTROOT/GitLabCI.queue + script: sed -i "/$CI_PIPELINE_ID/d" $LOCAL_HOME/GitLabCI.queue except: - master - release diff --git a/CMakeLists.txt b/CMakeLists.txt index f6870137f..dd2348fd1 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -108,9 +108,9 @@ if (DAMASK_SOLVER STREQUAL "grid") project (damask-grid Fortran C) add_definitions (-DGrid) message ("Building Grid Solver\n") -elseif (DAMASK_SOLVER STREQUAL "fem" OR DAMASK_SOLVER STREQUAL "mesh") +elseif (DAMASK_SOLVER STREQUAL "mesh") project (damask-mesh Fortran C) - add_definitions (-DFEM) + add_definitions (-DMesh) message ("Building Mesh Solver\n") else () message (FATAL_ERROR "Build target (DAMASK_SOLVER) is not defined") @@ -184,7 +184,7 @@ if (CMAKE_BUILD_TYPE STREQUAL "DEBUG") endif () set (CMAKE_Fortran_FLAGS_${CMAKE_BUILD_TYPE} "${CMAKE_Fortran_FLAGS_${CMAKE_BUILD_TYPE}} ${PETSC_INCLUDES} ${BUILDCMD_POST}") -set (CMAKE_Fortran_LINK_EXECUTABLE "${CMAKE_Fortran_LINK_EXECUTABLE} -o ${PETSC_EXTERNAL_LIB} ${BUILDCMD_POST}") +set (CMAKE_Fortran_LINK_EXECUTABLE "${CMAKE_Fortran_LINK_EXECUTABLE} -o ${PETSC_EXTERNAL_LIB} -lz ${BUILDCMD_POST}") message ("Fortran Compiler Flags:\n${CMAKE_Fortran_FLAGS_${CMAKE_BUILD_TYPE}}\n") message ("C Compiler Flags:\n${CMAKE_C_FLAGS_${CMAKE_BUILD_TYPE}}\n") diff --git a/DAMASK_prerequisites.sh b/DAMASK_prerequisites.sh index b72f19b7a..25a2e46e0 100755 --- a/DAMASK_prerequisites.sh +++ b/DAMASK_prerequisites.sh @@ -110,7 +110,7 @@ for executable in icc icpc ifort ;do done firstLevel "MPI Wrappers" -for executable in mpicc mpiCC mpiicc mpic++ mpicpc mpicxx mpifort mpif90 mpif77; do +for executable in mpicc mpiCC mpiicc mpic++ mpiicpc mpicxx mpifort mpiifort mpif90 mpif77; do getDetails $executable '-show' done diff --git a/Makefile b/Makefile index 34ce18c52..418d70507 100644 --- a/Makefile +++ b/Makefile @@ -2,21 +2,17 @@ SHELL = /bin/sh ######################################################################################## # Makefile for the installation of DAMASK ######################################################################################## -DAMASK_ROOT = $(shell python -c "import os,sys; print(os.path.normpath(os.path.realpath(os.path.expanduser('$(pwd)'))))") +DAMASK_ROOT = $(shell python3 -c "import os,sys; print(os.path.normpath(os.path.realpath(os.path.expanduser('$(pwd)'))))") .PHONY: all all: grid mesh processing .PHONY: grid grid: build/grid @(cd build/grid;make -j${DAMASK_NUM_THREADS} all install;) -.PHONY: spectral -spectral: grid .PHONY: mesh mesh: build/mesh @(cd build/mesh; make -j${DAMASK_NUM_THREADS} all install;) -.PHONY: FEM -FEM: mesh .PHONY: build/grid build/grid: diff --git a/PRIVATE b/PRIVATE index c595994cd..e2301f7d1 160000 --- a/PRIVATE +++ b/PRIVATE @@ -1 +1 @@ -Subproject commit c595994cd8880acadf50b5dedb79156d04d35b91 +Subproject commit e2301f7d12ff0ae12218d9b58e33a814eb5431c9 diff --git a/README b/README index 7fc372881..81ea47599 100644 --- a/README +++ b/README @@ -8,6 +8,6 @@ Max-Planck-Str. 1 40237 Düsseldorf Germany -Email: DAMASK@mpie.de +damask@mpie.de https://damask.mpie.de https://magit1.mpie.de diff --git a/VERSION b/VERSION index 29f305cbe..b85a6ab34 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -v2.0.3-2464-g90f93d23 +v3.0.0-alpha-633-g086b215d9 diff --git a/cmake/Compiler-GNU.cmake b/cmake/Compiler-GNU.cmake index 2e8e5841c..ebba8c0bf 100644 --- a/cmake/Compiler-GNU.cmake +++ b/cmake/Compiler-GNU.cmake @@ -1,6 +1,9 @@ ################################################################################################### # GNU Compiler ################################################################################################### +if (CMAKE_Fortran_COMPILER_VERSION VERSION_LESS 8.0) + message (FATAL_ERROR "GCC Compiler version: ${CMAKE_Fortran_COMPILER_VERSION} not supported") +endif () if (OPENMP) set (OPENMP_FLAGS "-fopenmp") @@ -14,7 +17,7 @@ elseif (OPTIMIZATION STREQUAL "AGGRESSIVE") set (OPTIMIZATION_FLAGS "-O3 -ffast-math -funroll-loops -ftree-vectorize") endif () -set (STANDARD_CHECK "-std=f2008ts -pedantic-errors" ) +set (STANDARD_CHECK "-std=f2018 -pedantic-errors" ) set (LINKER_FLAGS "${LINKER_FLAGS} -Wl") # options parsed directly to the linker set (LINKER_FLAGS "${LINKER_FLAGS},-undefined,dynamic_lookup" ) @@ -25,6 +28,9 @@ set (LINKER_FLAGS "${LINKER_FLAGS},-undefined,dynamic_lookup" ) set (COMPILE_FLAGS "${COMPILE_FLAGS} -xf95-cpp-input") # preprocessor +set (COMPILE_FLAGS "${COMPILE_FLAGS} -fPIC -fPIE") +# position independent code + set (COMPILE_FLAGS "${COMPILE_FLAGS} -ffree-line-length-132") # restrict line length to the standard 132 characters (lattice.f90 require more characters) diff --git a/cmake/Compiler-Intel.cmake b/cmake/Compiler-Intel.cmake index 1a2c2c455..6d96ff42d 100644 --- a/cmake/Compiler-Intel.cmake +++ b/cmake/Compiler-Intel.cmake @@ -1,6 +1,10 @@ ################################################################################################### # Intel Compiler ################################################################################################### +if (CMAKE_Fortran_COMPILER_VERSION VERSION_LESS 18.0) + message (FATAL_ERROR "Intel Compiler version: ${CMAKE_Fortran_COMPILER_VERSION} not supported") +endif () + if (OPENMP) set (OPENMP_FLAGS "-qopenmp -parallel") endif () diff --git a/env/CONFIG b/env/CONFIG index 1b3d801bc..5d92af7fa 100644 --- a/env/CONFIG +++ b/env/CONFIG @@ -1,5 +1,5 @@ # "set"-syntax needed only for tcsh (but works with bash and zsh) -set DAMASK_NUM_THREADS = 4 +set DAMASK_NUM_THREADS = 4 -set MSC_ROOT = /opt/msc -set MARC_VERSION = 2019 +set MSC_ROOT = /opt/msc +set MSC_VERSION = 2019.1 diff --git a/env/DAMASK.csh b/env/DAMASK.csh index a669a4ea0..cc61449d2 100644 --- a/env/DAMASK.csh +++ b/env/DAMASK.csh @@ -3,14 +3,14 @@ set CALLED=($_) set ENV_ROOT=`dirname $CALLED[2]` -set DAMASK_ROOT=`python -c "import os,sys; print(os.path.realpath(os.path.expanduser(sys.argv[1])))" $ENV_ROOT"/../"` +set DAMASK_ROOT=`python3 -c "import os,sys; print(os.path.realpath(os.path.expanduser(sys.argv[1])))" $ENV_ROOT"/../"` source $ENV_ROOT/CONFIG set path = ($DAMASK_ROOT/bin $path) -set SOLVER=`which DAMASK_spectral` -if ( "x$DAMASK_NUM_THREADS" == "x" ) then +set SOLVER=`which DAMASK_grid` +if ( "x$DAMASK_NUM_THREADS" == "x" ) then set DAMASK_NUM_THREADS=1 endif @@ -30,7 +30,7 @@ if ( $?prompt ) then echo echo Using environment with ... echo "DAMASK $DAMASK_ROOT" - echo "Grid Solver $SOLVER" + echo "Grid Solver $SOLVER" if ( $?PETSC_DIR) then echo "PETSc location $PETSC_DIR" endif @@ -51,4 +51,4 @@ else setenv PYTHONPATH $DAMASK_ROOT/python:$PYTHONPATH endif setenv MSC_ROOT -setenv MARC_VERSION +setenv MSC_VERSION diff --git a/env/DAMASK.sh b/env/DAMASK.sh index aed99b3bc..2151e842b 100644 --- a/env/DAMASK.sh +++ b/env/DAMASK.sh @@ -2,7 +2,7 @@ # usage: source DAMASK.sh function canonicalPath { - python -c "import os,sys; print(os.path.normpath(os.path.realpath(os.path.expanduser(sys.argv[1]))))" $1 + python3 -c "import os,sys; print(os.path.normpath(os.path.realpath(os.path.expanduser(sys.argv[1]))))" $1 } function blink { @@ -35,7 +35,7 @@ cd $DAMASK_ROOT >/dev/null; BRANCH=$(git branch 2>/dev/null| grep -E '^\* '); cd PATH=${DAMASK_ROOT}/bin:$PATH -SOLVER=$(type -p DAMASK_spectral || true 2>/dev/null) +SOLVER=$(type -p DAMASK_grid || true 2>/dev/null) [ "x$SOLVER" == "x" ] && SOLVER=$(blink 'Not found!') [ "x$DAMASK_NUM_THREADS" == "x" ] && DAMASK_NUM_THREADS=1 @@ -56,7 +56,7 @@ if [ ! -z "$PS1" ]; then echo echo Using environment with ... echo "DAMASK $DAMASK_ROOT $BRANCH" - echo "Grid Solver $SOLVER" + echo "Grid Solver $SOLVER" if [ "x$PETSC_DIR" != "x" ]; then echo -n "PETSc location " [ -d $PETSC_DIR ] && echo $PETSC_DIR || blink $PETSC_DIR diff --git a/env/DAMASK.zsh b/env/DAMASK.zsh index 8769bac34..377aa5304 100644 --- a/env/DAMASK.zsh +++ b/env/DAMASK.zsh @@ -2,7 +2,7 @@ # usage: source DAMASK.zsh function canonicalPath { - python -c "import os,sys; print(os.path.normpath(os.path.realpath(os.path.expanduser(sys.argv[1]))))" $1 + python3 -c "import os,sys; print(os.path.normpath(os.path.realpath(os.path.expanduser(sys.argv[1]))))" $1 } function blink { @@ -27,7 +27,7 @@ cd $DAMASK_ROOT >/dev/null; BRANCH=$(git branch 2>/dev/null| grep -E '^\* '); cd PATH=${DAMASK_ROOT}/bin:$PATH -SOLVER=$(which DAMASK_spectral || true 2>/dev/null) +SOLVER=$(which DAMASK_grid || true 2>/dev/null) [[ "x$SOLVER" == "x" ]] && SOLVER=$(blink 'Not found!') [[ "x$DAMASK_NUM_THREADS" == "x" ]] && DAMASK_NUM_THREADS=1 @@ -48,7 +48,7 @@ if [ ! -z "$PS1" ]; then echo echo "Using environment with ..." echo "DAMASK $DAMASK_ROOT $BRANCH" - echo "Grid Solver $SOLVER" + echo "Grid Solver $SOLVER" if [ "x$PETSC_DIR" != "x" ]; then echo -n "PETSc location " [ -d $PETSC_DIR ] && echo $PETSC_DIR || blink $PETSC_DIR diff --git a/examples/.gitignore b/examples/.gitignore index 3cb6b9820..93d78295b 100644 --- a/examples/.gitignore +++ b/examples/.gitignore @@ -3,6 +3,3 @@ *.xdmf *.sta *.vt* -*.geom -*.seeds -postProc diff --git a/examples/ConfigFiles/Homogenization_HydrogenFlux_CahnHilliard.config b/examples/ConfigFiles/Homogenization_HydrogenFlux_CahnHilliard.config deleted file mode 100644 index 62e1d2505..000000000 --- a/examples/ConfigFiles/Homogenization_HydrogenFlux_CahnHilliard.config +++ /dev/null @@ -1,3 +0,0 @@ -hydrogenflux cahnhilliard -initialHydrogenConc 0.0 -(output) hydrogenconc diff --git a/examples/ConfigFiles/Kinematics_Hydrogen_Strain.config b/examples/ConfigFiles/Kinematics_Hydrogen_Strain.config deleted file mode 100644 index d32c90437..000000000 --- a/examples/ConfigFiles/Kinematics_Hydrogen_Strain.config +++ /dev/null @@ -1,2 +0,0 @@ -(kinematics) vacancy_strain -vacancy_strain_coeff 0.006 diff --git a/examples/ConfigFiles/Phase_DisloUCLA_Tungsten.config b/examples/ConfigFiles/Phase_DisloUCLA_Tungsten.config index 6920aee2b..2cdd5c58f 100644 --- a/examples/ConfigFiles/Phase_DisloUCLA_Tungsten.config +++ b/examples/ConfigFiles/Phase_DisloUCLA_Tungsten.config @@ -27,7 +27,7 @@ SolidSolutionStrength 0.0 # Strength due to elements in solid solution ### Dislocation glide parameters ### #per family -Nslip 12 0 +Nslip 12 slipburgers 2.72e-10 # Burgers vector of slip system [m] rhoedge0 1.0e12 # Initial edge dislocation density [m/m**3] rhoedgedip0 1.0 # Initial edged dipole dislocation density [m/m**3] diff --git a/examples/ConfigFiles/Phase_Isotropic_AluminumIsotropic.config b/examples/ConfigFiles/Phase_Isotropic_AluminumIsotropic.config deleted file mode 100644 index 3a91035ea..000000000 --- a/examples/ConfigFiles/Phase_Isotropic_AluminumIsotropic.config +++ /dev/null @@ -1,20 +0,0 @@ -[Aluminum_Isotropic] -# Kuo, J. C., Mikrostrukturmechanik von Bikristallen mit Kippkorngrenzen. Shaker-Verlag 2004. http://edoc.mpg.de/204079 - -elasticity hooke -plasticity isotropic - -(output) flowstress -(output) strainrate - -lattice_structure iso - -c11 110.9e9 -c12 58.34e9 -m 3 -tau0 31e6 -gdot0 0.001 -n 20 -h0 75e6 -tausat 63e6 -a 2.25 diff --git a/examples/ConfigFiles/Phase_Isotropic_AluminumIsotropic.yaml b/examples/ConfigFiles/Phase_Isotropic_AluminumIsotropic.yaml new file mode 100644 index 000000000..446efc194 --- /dev/null +++ b/examples/ConfigFiles/Phase_Isotropic_AluminumIsotropic.yaml @@ -0,0 +1,16 @@ +# Kuo, J. C., Mikrostrukturmechanik von Bikristallen mit Kippkorngrenzen. Shaker-Verlag 2004. http://edoc.mpg.de/204079 +Aluminum: + elasticity: {C_11: 110.9e9, C_12: 58.34e9, type: hooke} + generic: + output: [F, P, Fe, Fp, Lp] + lattice: iso + plasticity: + type: isotropic + output: [xi] + xi_0: 31e6 + xi_inf: 63e6 + dot_gamma_0: 0.001 + n: 20 + M: 3 + h_0: 75e6 + a: 2.25 diff --git a/examples/ConfigFiles/Phase_Isotropic_FreeSurface.config b/examples/ConfigFiles/Phase_Isotropic_FreeSurface.config deleted file mode 100644 index 9a01c5a35..000000000 --- a/examples/ConfigFiles/Phase_Isotropic_FreeSurface.config +++ /dev/null @@ -1,24 +0,0 @@ -[Air] - -## Isotropic Material model to simulate free surfaces ## -## For more information see paper Maiti+Eisenlohr2018, Scripta Materialia, -## "Fourier-based spectral method solution to finite strain crystal plasticity with free surfaces" - -elasticity hooke -plasticity isotropic - -/dilatation/ - -(output) flowstress -(output) strainrate - -lattice_structure iso -c11 10e9 -c12 0.0 -gdot0 0.001 -tau0 0.3e6 -tausat 0.6e6 -h0 1e6 -n 5 -m 3 -a 2 diff --git a/examples/ConfigFiles/Phase_Isotropic_FreeSurface.yaml b/examples/ConfigFiles/Phase_Isotropic_FreeSurface.yaml new file mode 100644 index 000000000..20148c4fb --- /dev/null +++ b/examples/ConfigFiles/Phase_Isotropic_FreeSurface.yaml @@ -0,0 +1,17 @@ +# Maiti and Eisenlohr 2018 Scripta Materialia +Air: + elasticity: {C_11: 10e9, C_12: 0.0, type: hooke} + generic: + output: [F, P, Fe, Fp, Lp] + lattice: iso + plasticity: + type: isotropic + output: [xi] + xi_0: 0.3e6 + xi_inf: 0.6e6 + dot_gamma_0: 0.001 + n: 5 + M: 3 + h_0: 1e6 + a: 2 + dilatation: true diff --git a/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Ferrite.config b/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Ferrite.config deleted file mode 100644 index 5af1eee11..000000000 --- a/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Ferrite.config +++ /dev/null @@ -1,21 +0,0 @@ -# Tasan et.al. 2015 Acta Materalia -# Tasan et.al. 2015 International Journal of Plasticity -# Diehl et.al. 2015 Meccanica -[BCC-Ferrite] - -elasticity hooke -plasticity phenopowerlaw - -lattice_structure bcc -Nslip 12 12 # per family -Ntwin 0 # per family -c11 233.3e9 -c12 135.5e9 -c44 118.0e9 -gdot0_slip 0.001 -n_slip 20 -tau0_slip 95.e6 97.e6 # per family, optimization long simplex 109 -tausat_slip 222.e6 412.7e6 # per family, optimization long simplex 109 -h0_slipslip 1000.0e6 -interaction_slipslip 1 1 1.4 1.4 1.4 1.4 -a_slip 2.0 diff --git a/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Ferrite.yaml b/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Ferrite.yaml new file mode 100644 index 000000000..4940ca8bd --- /dev/null +++ b/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Ferrite.yaml @@ -0,0 +1,16 @@ +# Tasan et.al. 2015 Acta Materalia +# Tasan et.al. 2015 International Journal of Plasticity +# Diehl et.al. 2015 Meccanica +Ferrite: + elasticity: {C_11: 233.3e9, C_12: 135.5e9, C_44: 118.0e9, type: hooke} + lattice: bcc + plasticity: + N_sl: [12, 12] + a_sl: 2.0 + dot_gamma_0_sl: 0.001 + h_0_sl_sl: 1000.0e6 + h_sl_sl: [1, 1, 1.4, 1.4, 1.4, 1.4] + n_sl: 20 + type: phenopowerlaw + xi_0_sl: [95.e6, 96.e6] + xi_inf_sl: [222.e6, 412.7e6] diff --git a/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Martensite.config b/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Martensite.config deleted file mode 100644 index a04f27e7f..000000000 --- a/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Martensite.config +++ /dev/null @@ -1,21 +0,0 @@ -# Tasan et.al. 2015 Acta Materalia -# Tasan et.al. 2015 International Journal of Plasticity -# Diehl et.al. 2015 Meccanica -[BCC-Martensite] - -elasticity hooke -plasticity phenopowerlaw - -lattice_structure bcc -Nslip 12 12 # per family -Ntwin 0 # per family -c11 417.4e9 -c12 242.4e9 -c44 211.1e9 -gdot0_slip 0.001 -n_slip 20 -tau0_slip 405.8e6 456.7e6 # per family -tausat_slip 872.9e6 971.2e6 # per family -h0_slipslip 563.0e9 -interaction_slipslip 1 1 1.4 1.4 1.4 1.4 -a_slip 2.0 diff --git a/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Martensite.yaml b/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Martensite.yaml new file mode 100644 index 000000000..b207d7b34 --- /dev/null +++ b/examples/ConfigFiles/Phase_Phenopowerlaw_BCC-Martensite.yaml @@ -0,0 +1,16 @@ +# Tasan et.al. 2015 Acta Materalia +# Tasan et.al. 2015 International Journal of Plasticity +# Diehl et.al. 2015 Meccanica +Martensite: + elasticity: {C_11: 417.4e9, C_12: 242.4e9, C_44: 211.1e9, type: hooke} + lattice: bcc + plasticity: + N_sl: [12, 12] + a_sl: 2.0 + dot_gamma_0_sl: 0.001 + h_0_sl_sl: 563.0e9 + h_sl_sl: [1, 1, 1.4, 1.4, 1.4, 1.4] + n_sl: 20 + type: phenopowerlaw + xi_0_sl: [405.8e6, 456.7e6] + xi_inf_sl: [872.9e6, 971.2e6] diff --git a/examples/ConfigFiles/debug.config b/examples/ConfigFiles/debug.config deleted file mode 100644 index 4736c87e1..000000000 --- a/examples/ConfigFiles/debug.config +++ /dev/null @@ -1,24 +0,0 @@ -### debugging parameters ### - -# example: -# -------- -# mesh basic extensive # switches on the "basic" and "extensive" debugging in mesh-related functions/subroutines -# - -debug # debug.f90, possible values: basic, extensive -math # math.f90, possible value: basic -FEsolving # FEsolving.f90, possible value: basic -mesh # mesh.f90, possible value: basic, extensive -material # material.f90, possible values: basic, extensive -lattice # lattice.f90, possible value: basic -constitutive # constitutive_*.f90 possible values: basic, extensive, selective -crystallite # crystallite.f90 possible values: basic, extensive, selective -homogenization # homogenization_*.f90 possible values: basic, extensive, selective -CPFEM # CPFEM.f90 possible values: basic, extensive, selective -spectral # DAMASK_spectral.f90 possible values: basic, fft, restart, divergence, rotation, petsc -marc # MSC.MARC FEM solver possible values: basic -# -# Parameters for selective -element 1 # selected element for debugging (synonymous: "el", "e") -integrationpoint 1 # selected integration point for debugging (synonymous: "ip", "i") -grain 1 # selected grain at ip for debugging (synonymous: "gr", "g") diff --git a/examples/ConfigFiles/debug.yaml b/examples/ConfigFiles/debug.yaml new file mode 100644 index 000000000..49e863695 --- /dev/null +++ b/examples/ConfigFiles/debug.yaml @@ -0,0 +1,20 @@ +### debugging parameters ### +## case sensitive keys +# example: +# -------- +# mesh: [basic, extensive] # switches on the "basic" and "extensive" debugging in mesh-related functions/subroutines +# + +mesh: [basic,extensive] # mesh.f90, possible value: basic, extensive +material: [basic, extensive] # material.f90, possible values: basic, extensive +constitutive: [basic, extensive, selective] # constitutive_*.f90 possible values: basic, extensive, selective +crystallite: [basic, extensive, selective] # crystallite.f90 possible values: basic, extensive, selective +homogenization: [basic, extensive, selective] # homogenization_*.f90 possible values: basic, extensive, selective +cpfem: [basic, extensive, selective] # CPFEM.f90 possible values: basic, extensive, selective +grid: [basic, fft, restart, divergence, rotation, petsc] # DAMASK_spectral.f90 possible values: basic, fft, restart, divergence, rotation, petsc +marc: [basic] # MSC.MARC FEM solver possible values: basic +# +# Parameters for selective +element: 1 # selected element for debugging +integrationpoint: 1 # selected integration point for debugging +grain: 1 # selected grain at ip for debugging diff --git a/examples/ConfigFiles/numerics.config b/examples/ConfigFiles/numerics.config deleted file mode 100644 index ced4ec6f1..000000000 --- a/examples/ConfigFiles/numerics.config +++ /dev/null @@ -1,75 +0,0 @@ -### numerical parameters ### - -relevantStrain 1.0e-7 # strain increment considered significant (used by crystallite to determine whether strain inc is considered significant) -defgradTolerance 1.0e-7 # deviation of deformation gradient that is still allowed (used by CPFEM to determine outdated ffn1) -iJacoStiffness 1 # frequency of stiffness update -iJacoLpresiduum 1 # frequency of Jacobian update of residuum in Lp -pert_Fg 1.0e-7 # deformation gradient perturbation for grain tangent -pert_method 1 # perturbation method (1 = forward, 2 = backward or 3 = central) -integrator 1 # integration method (1 = Fixed Point Iteration, 2 = Euler, 3 = Adaptive Euler, 4 = classical 4th order Runge-Kutta, 5 = 5th order Runge-Kutta Cash-Karp) -integratorStiffness 1 # integration method used for stiffness (1 = Fixed Point Iteration, 2 = Euler, 3 = Adaptive Euler, 4 = classical 4th order Runge-Kutta, 5 = 5th order Runge-Kutta Cash-Karp) -unitlength 1 # physical length of one computational length unit -usepingpong 1 # use the ping pong (collect <-> calc) scheme - -## crystallite numerical parameters ## -nCryst 20 # crystallite loop limit (only for debugging info, loop limit is determined by "subStepMinCryst") -subStepMinCryst 1.0e-3 # minimum (relative) size of sub-step allowed during cutback in crystallite -subStepSizeCryst 0.25 # size of substep when cutback introduced in crystallite (value between 0 and 1) -stepIncreaseCryst 1.5 # increase of next substep size when previous substep converged in crystallite (value higher than 1) -nState 10 # state loop limit -nStress 40 # stress loop limit -rTol_crystalliteState 1.0e-6 # relative tolerance in crystallite state loop (abs tol provided by constitutive law) -rTol_crystalliteStress 1.0e-6 # relative tolerance in crystallite stress loop (Lp residuum) -aTol_crystalliteStress 1.0e-8 # absolute tolerance in crystallite stress loop (Lp residuum!) -rTol_crystalliteTemperature 1.0e-6 # relative tolerance in crystallite state/temperature loop - -## homogenization numerical parameters ## -nHomog 20 # homogenization loop limit (only for debugging info, loop limit is determined by "subStepMinHomog") -subStepMinHomog 1.0e-3 # minimum (relative) size of sub-step allowed during cutback in homogenization -subStepSizeHomog 0.25 # size of substep when cutback introduced in homogenization (value between 0 and 1) -stepIncreaseHomog 1.5 # increase of next substep size when previous substep converged in homogenization (value higher than 1) -nMPstate 10 # materialpoint state loop limit - -## RGC scheme numerical parameters ## -aTol_RGC 1.0e+4 # absolute tolerance of RGC residuum (in Pa) -rTol_RGC 1.0e-3 # relative ... -aMax_RGC 1.0e+10 # absolute upper-limit of RGC residuum (in Pa) -rMax_RGC 1.0e+2 # relative ... -perturbPenalty_RGC 1.0e-7 # perturbation for computing penalty tangent -maxRelaxation_RGC 1.0e+0 # threshold of maximum relaxation vector increment (if exceed this then cutback) - -relevantMismatch_RGC 1.0e-5 # minimum threshold of mismatch - -viscosityPower_RGC 1.0e+0 # power (sensitivity rate) of numerical viscosity in RGC scheme -viscosityModulus_RGC 0.0e+0 # stress modulus of RGC numerical viscosity (zero = without numerical viscosity) - # suggestion: larger than the aTol_RGC but still far below the expected flow stress of material -refRelaxationRate_RGC 1.0e-3 # reference rate of relaxation (about the same magnitude as straining rate, possibly a bit higher) - -maxVolDiscrepancy_RGC 1.0e-5 # maximum allowable relative volume discrepancy -volDiscrepancyMod_RGC 1.0e+12 -discrepancyPower_RGC 5.0 - -random_seed 0 # any integer larger than zero seeds the random generator, otherwise random seeding - -## spectral parameters ## -err_div_tolAbs 1.0e-3 # absolute tolerance for fulfillment of stress equilibrium -err_div_tolRel 5.0e-4 # relative tolerance for fulfillment of stress equilibrium -err_curl_tolAbs 1.0e-12 # absolute tolerance for fulfillment of strain compatibility -err_curl_tolRel 5.0e-4 # relative tolerance for fulfillment of strain compatibility -err_stress_tolAbs 1.0e3 # absolute tolerance for fulfillment of stress BC -err_stress_tolRel 0.01 # relative tolerance for fulfillment of stress BC -fftw_timelimit -1.0 # timelimit of plan creation for FFTW, see manual on www.fftw.org, Default -1.0: disable timelimit -rotation_tol 1.0e-12 # tolerance of rotation specified in loadcase, Default 1.0e-12: first guess -fftw_plan_mode FFTW_PATIENT # reads the planing-rigor flag, see manual on www.fftw.org, Default FFTW_PATIENT: use patient planner flag -itmax 250 # Maximum iteration number -itmin 2 # Minimum iteration number -maxCutBack 3 # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc) -memory_efficient 1 # Precalculate Gamma-operator (81 double per point) -update_gamma 0 # Update Gamma-operator with current dPdF (not possible if memory_efficient=1) -divergence_correction 2 # Use size-independent divergence criterion -spectralsolver basicPETSc # Type of spectral solver (basicPETSc/polarisation) -spectralfilter none # Type of filtering method to mitigate Gibb's phenomenon (none, cosine, ...) -petsc_options -snes_type ngmres -snes_ngmres_anderson # PetSc solver options -regridMode 0 # 0: no regrid; 1: regrid if DAMASK doesn't converge; 2: regrid if DAMASK or BVP Solver doesn't converge -polarAlpha 1.0 # polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme -polarBeta 1.0 # polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme diff --git a/examples/ConfigFiles/numerics.yaml b/examples/ConfigFiles/numerics.yaml new file mode 100644 index 000000000..e25c86f5a --- /dev/null +++ b/examples/ConfigFiles/numerics.yaml @@ -0,0 +1,86 @@ +# Available numerical parameters +# Case sensitive keys + +homogenization: + mech: + RGC: + atol: 1.0e+4 # absolute tolerance of RGC residuum (in Pa) + rtol: 1.0e-3 # relative ... + amax: 1.0e+10 # absolute upper-limit of RGC residuum (in Pa) + rmax: 1.0e+2 # relative ... + perturbpenalty: 1.0e-7 # perturbation for computing penalty tangent + relevantmismatch: 1.0e-5 # minimum threshold of mismatch + viscositypower: 1.0e+0 # power (sensitivity rate) of numerical viscosity in RGC scheme + viscositymodulus: 0.0e+0 # stress modulus of RGC numerical viscosity (zero = without numerical viscosity) + # suggestion: larger than the aTol_RGC but still far below the expected flow stress of material + refrelaxationrate: 1.0e-3 # reference rate of relaxation (about the same magnitude as straining rate, possibly a bit higher) + maxrelaxationrate: 1.0e+0 # threshold of maximum relaxation vector increment (if exceed this then cutback) + maxvoldiscrepancy: 1.0e-5 # maximum allowable relative volume discrepancy + voldiscrepancymod: 1.0e+12 + discrepancypower: 5.0 + + generic: + subStepMin: 1.0e-3 # minimum (relative) size of sub-step allowed during cutback in homogenization + subStepSize: 0.25 # size of substep when cutback introduced in homogenization (value between 0 and 1) + stepIncrease: 1.5 # increase of next substep size when previous substep converged in homogenization (value higher than 1) + nMPstate: 10 # materialpoint state loop limit + +grid: + eps_div_atol: 1.0e-3 # absolute tolerance for fulfillment of stress equilibrium + eps_div_rtol: 5.0e-4 # relative tolerance for fulfillment of stress equilibrium + eps_curl_atol: 1.0e-12 # absolute tolerance for fulfillment of strain compatibility + eps_curl_rtol: 5.0e-4 # relative tolerance for fulfillment of strain compatibility + eps_stress_atol: 1.0e3 # absolute tolerance for fulfillment of stress BC + eps_stress_rtol: 0.01 # relative tolerance for fulfillment of stress BC + eps_damage_atol: 1.0e-2 # absolute tolerance for damage evolution + eps_damage_rtol: 1.0e-6 # relative tolerance for damage evolution + eps_thermal_atol: 1.0e-2 # absolute tolerance for thermal equilibrium + eps_thermal_rtol: 1.0e-6 # relative tolerance for thermal equilibrium + itmax: 250 # Maximum iteration number + itmin: 2 # Minimum iteration number + fftw_timelimit: -1.0 # timelimit of plan creation for FFTW, see manual on www.fftw.org, Default -1.0: disable timelimit + fftw_plan_mode: FFTW_PATIENT # reads the planing-rigor flag, see manual on www.fftw.org, Default FFTW_PATIENT: use patient planner flag + maxCutBack: 3 # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc) + maxStaggeredIter: 10 # max number of field level staggered iterations + + memory_efficient: 1 # Precalculate Gamma-operator (81 double per point) + update_gamma: false # Update Gamma-operator with current dPdF (not possible if memory_efficient=1) + divergence_correction: 2 # Use size-independent divergence criterion + derivative: continuous # Approximation used for derivatives in Fourier space + solver: Basic # Type of spectral solver (BasicPETSc/Polarisation/FEM) + petsc_options: -snes_type ngmres -snes_ngmres_anderson # PetSc solver options + alpha: 1.0 # polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme + beta: 1.0 # polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme + +mesh: + maxCutBack: 3 # maximum cut back level (0: 1, 1: 0.5, 2: 0.25, etc) + maxStaggeredIter: 10 # max number of field level staggered iterations + structorder: 2 # order of displacement shape functions (when mesh is defined) + bbarstabilisation: false + integrationorder: 2 # order of quadrature rule required (when mesh is defined) + itmax: 250 # Maximum iteration number + itmin: 2 # Minimum iteration number + eps_struct_atol: 1.0e-10 # absolute tolerance for mechanical equilibrium + eps_struct_rtol: 1.0e-4 # relative tolerance for mechanical equilibrium + +crystallite: + subStepMin: 1.0e-3 # minimum (relative) size of sub-step allowed during cutback in crystallite + subStepSize: 0.25 # size of substep when cutback introduced in crystallite (value between 0 and 1) + stepIncrease: 1.5 # increase of next substep size when previous substep converged in crystallite (value higher than 1) + subStepSizeLp: 0.5 # size of first substep when cutback in Lp calculation + subStepSizeLi: 0.5 # size of first substep when cutback in Li calculation + nState: 10 # state loop limit + nStress: 40 # stress loop limit + rtol_State: 1.0e-6 # relative tolerance in crystallite state loop (abs tol provided by constitutive law) + rtol_Stress: 1.0e-6 # relative tolerance in crystallite stress loop (Lp residuum) + atol_Stress: 1.0e-8 # absolute tolerance in crystallite stress loop (Lp residuum!) + integrator: FPI # integration method (FPI = Fixed Point Iteration, Euler = Euler, AdaptiveEuler = Adaptive Euler, RK4 = classical 4th order Runge-Kutta, RKCK45 = 5th order Runge-Kutta Cash-Karp) + iJacoLpresiduum: 1 # frequency of Jacobian update of residuum in Lp + +commercialFEM: + unitlength: 1 # physical length of one computational length unit + +generic: + charLength: 1.0 # characteristic length scale for gradient problems. + random_seed: 0 # fixed seeding for pseudo-random number generator, Default 0: use random seed. + residualStiffness: 1.0e-6 # non-zero residual damage. diff --git a/examples/ConfigFiles/rollingTexture.linearODF b/examples/ConfigFiles/rollingTexture.linearODF deleted file mode 100644 index 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37.50 47.50 1.38142 - 62.50 37.50 52.50 2.64226 - 62.50 37.50 57.50 4.15246 - 62.50 37.50 62.50 5.13611 - 62.50 37.50 67.50 5.08545 - 62.50 37.50 72.50 3.92672 - 62.50 37.50 77.50 2.28254 - 62.50 37.50 82.50 1.0963 - 62.50 37.50 87.50 0.461633 - 62.50 37.50 92.50 0.166468 - 62.50 37.50 97.50 0.0437723 - 62.50 37.50 102.50 0.0177901 - 62.50 37.50 107.50 0.0215696 - 62.50 37.50 112.50 0.0424254 - 62.50 37.50 117.50 0.10689 - 62.50 37.50 122.50 0.232747 - 62.50 37.50 127.50 0.397979 - 62.50 37.50 132.50 0.695003 - 62.50 37.50 137.50 1.38142 - 62.50 37.50 142.50 2.64226 - 62.50 37.50 147.50 4.15246 - 62.50 37.50 152.50 5.13611 - 62.50 37.50 157.50 5.08545 - 62.50 37.50 162.50 3.92672 - 62.50 37.50 167.50 2.28254 - 62.50 37.50 172.50 1.0963 - 62.50 37.50 177.50 0.461633 - 62.50 37.50 182.50 0.166468 - 62.50 37.50 187.50 0.0437723 - 62.50 37.50 192.50 0.0177901 - 62.50 37.50 197.50 0.0215696 - 62.50 37.50 202.50 0.0424255 - 62.50 37.50 207.50 0.106889 - 62.50 37.50 212.50 0.232747 - 62.50 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a/examples/FEM/polyXtal/material.config b/examples/FEM/polyXtal/material.config deleted file mode 100644 index c2d1f4ad7..000000000 --- a/examples/FEM/polyXtal/material.config +++ /dev/null @@ -1,441 +0,0 @@ -#-------------------# - -#-------------------# -[SX] -mech none - -#-------------------# - -#-------------------# - -[Aluminum] -elasticity hooke -plasticity phenopowerlaw - -lattice_structure fcc -Nslip 12 # per family - -c11 106.75e9 -c12 60.41e9 -c44 28.34e9 - -gdot0_slip 0.001 -n_slip 20 -tau0_slip 31e6 # per family -tausat_slip 63e6 # per family -a_slip 2.25 -h0_slipslip 75e6 -interaction_slipslip 1 1 1.4 1.4 1.4 1.4 - -(output) f -(output) p - -#-------------------# - -#-------------------# - -[Grain001] -(constituent) phase 1 texture 1 fraction 1.0 -[Grain002] -(constituent) phase 1 texture 2 fraction 1.0 -[Grain003] -(constituent) phase 1 texture 3 fraction 1.0 -[Grain004] -(constituent) phase 1 texture 4 fraction 1.0 -[Grain005] -(constituent) phase 1 texture 5 fraction 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1 texture 90 fraction 1.0 -[Grain091] -(constituent) phase 1 texture 91 fraction 1.0 -[Grain092] -(constituent) phase 1 texture 92 fraction 1.0 -[Grain093] -(constituent) phase 1 texture 93 fraction 1.0 -[Grain094] -(constituent) phase 1 texture 94 fraction 1.0 -[Grain095] -(constituent) phase 1 texture 95 fraction 1.0 -[Grain096] -(constituent) phase 1 texture 96 fraction 1.0 -[Grain097] -(constituent) phase 1 texture 97 fraction 1.0 -[Grain098] -(constituent) phase 1 texture 98 fraction 1.0 -[Grain099] -(constituent) phase 1 texture 99 fraction 1.0 -[Grain100] -(constituent) phase 1 texture 100 fraction 1.0 - -#-------------------# - -#-------------------# - -[Grain001] -(gauss) phi1 172.344 Phi 114.046 phi2 294.669 -[Grain002] -(gauss) phi1 186.013 Phi 94.7338 phi2 329.683 -[Grain003] -(gauss) phi1 162.41 Phi 98.9455 phi2 130.322 -[Grain004] -(gauss) phi1 355.272 Phi 140.621 phi2 125.567 -[Grain005] -(gauss) phi1 21.7641 Phi 143.388 phi2 240.373 -[Grain006] -(gauss) phi1 88.1966 Phi 92.3358 phi2 194.78 -[Grain007] -(gauss) phi1 161.137 Phi 78.0062 phi2 111.948 -[Grain008] -(gauss) phi1 169.792 Phi 89.5333 phi2 159.265 -[Grain009] -(gauss) phi1 264.847 Phi 130.291 phi2 180.604 -[Grain010] -(gauss) phi1 70.6323 Phi 84.1754 phi2 341.162 -[Grain011] -(gauss) phi1 67.7751 Phi 36.1662 phi2 139.898 -[Grain012] -(gauss) phi1 111.621 Phi 19.1089 phi2 228.338 -[Grain013] -(gauss) phi1 129.9 Phi 139.011 phi2 238.735 -[Grain014] -(gauss) phi1 221.405 Phi 129.743 phi2 99.6471 -[Grain015] -(gauss) phi1 241.783 Phi 98.3729 phi2 260.615 -[Grain016] -(gauss) phi1 72.5592 Phi 122.403 phi2 165.046 -[Grain017] -(gauss) phi1 64.8818 Phi 82.6384 phi2 236.305 -[Grain018] -(gauss) phi1 201.096 Phi 65.9312 phi2 330.745 -[Grain019] -(gauss) phi1 192.994 Phi 81.9371 phi2 239.326 -[Grain020] -(gauss) phi1 125.335 Phi 90.4527 phi2 207.982 -[Grain021] -(gauss) phi1 55.8848 Phi 26.4455 phi2 100.921 -[Grain022] -(gauss) phi1 40.722 Phi 95.6415 phi2 269.174 -[Grain023] -(gauss) phi1 250.487 Phi 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phi2 239.546 -[Grain058] -(gauss) phi1 210.124 Phi 128.631 phi2 8.61611 -[Grain059] -(gauss) phi1 290.326 Phi 170.412 phi2 144.269 -[Grain060] -(gauss) phi1 204.748 Phi 76.7343 phi2 200.385 -[Grain061] -(gauss) phi1 54.3015 Phi 65.9143 phi2 117.373 -[Grain062] -(gauss) phi1 261.263 Phi 52.255 phi2 95.9146 -[Grain063] -(gauss) phi1 328.054 Phi 51.0778 phi2 24.2782 -[Grain064] -(gauss) phi1 163.03 Phi 154.894 phi2 64.126 -[Grain065] -(gauss) phi1 183.87 Phi 80.1848 phi2 18.7438 -[Grain066] -(gauss) phi1 219.91 Phi 113.727 phi2 126.67 -[Grain067] -(gauss) phi1 1.43844 Phi 87.6365 phi2 217.342 -[Grain068] -(gauss) phi1 16.6245 Phi 162.07 phi2 43.7899 -[Grain069] -(gauss) phi1 16.86 Phi 53.8682 phi2 256.917 -[Grain070] -(gauss) phi1 1.01921 Phi 118.449 phi2 307.223 -[Grain071] -(gauss) phi1 19.0397 Phi 83.8885 phi2 262.687 -[Grain072] -(gauss) phi1 99.799 Phi 77.2307 phi2 84.9727 -[Grain073] -(gauss) phi1 234.292 Phi 63.5029 phi2 250.315 -[Grain074] -(gauss) phi1 315.529 Phi 106.015 phi2 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275.124 -[Grain092] -(gauss) phi1 126.699 Phi 99.0325 phi2 320.537 -[Grain093] -(gauss) phi1 184.138 Phi 20.1663 phi2 159.314 -[Grain094] -(gauss) phi1 296.502 Phi 15.2389 phi2 39.382 -[Grain095] -(gauss) phi1 167.8 Phi 151.764 phi2 192.568 -[Grain096] -(gauss) phi1 257.822 Phi 133.446 phi2 257.108 -[Grain097] -(gauss) phi1 71.6923 Phi 74.5726 phi2 342.575 -[Grain098] -(gauss) phi1 176.748 Phi 28.39 phi2 327.375 -[Grain099] -(gauss) phi1 121.822 Phi 141.836 phi2 22.6349 -[Grain100] -(gauss) phi1 180.151 Phi 109.246 phi2 146.177 diff --git a/examples/FEM/polyXtal/material.yaml b/examples/FEM/polyXtal/material.yaml new file mode 100644 index 000000000..5c00f17ad --- /dev/null +++ b/examples/FEM/polyXtal/material.yaml @@ -0,0 +1,525 @@ +homogenization: + SX: + N_constituents: 1 + mech: {type: none} + +phase: + Aluminum: + elasticity: {C_11: 106.75e9, C_12: 60.41e9, C_44: 28.34e9, type: hooke} + generic: + output: [F, P, Fe, Fp, Lp] + lattice: fcc + plasticity: + N_sl: [12] + a_sl: 2.25 + atol_xi: 1.0 + dot_gamma_0_sl: 0.001 + h_0_sl_sl: 75e6 + h_sl_sl: [1, 1, 1.4, 1.4, 1.4, 1.4] + n_sl: 20 + output: [xi_sl] + type: phenopowerlaw + xi_0_sl: [31e6] + xi_inf_sl: [63e6] + +material: + - constituents: + - O: [0.12807292351503236, 0.22200469518411023, 0.6352813278477609, -0.7285114110750144] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.372279509887385, 0.7538147166654958, 0.5325170025119552, -0.09796418474222598] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.36250483607280015, 0.1909385526545633, 0.22801354774620894, 0.883256777487838] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.732294920525089, 0.5171063011556195, -0.1407961220188403, 0.4201448258669421] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.708826030342622, -0.6702053835750753, -0.20103371291967786, -0.08930760776907508] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.5987257793404215, -0.07651654961032513, 0.5682302685884709, 0.5592736545277363] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.06694940093926707, -0.30782756132267486, -0.12043616569331547, 0.9414112279960869] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.18461382116884548, -0.6204161624733774, -0.29958251820830917, 0.700893599028564] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.9169840196863235, -0.06434514294945529, -0.39316017660689456, -0.02061760774585527] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.6721337568887824, 0.25328061978301336, 0.695177984796291, 0.028508068111876502] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.5634397986285561, 0.5706880594373327, 0.08060455928790704, 0.5919067808017289] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.5400408176755693, -0.4956697116684921, 0.14064883310776702, 0.6654963245008945] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.07812412485408982, 0.5540083408137547, 0.5031719732018802, -0.6586268631089227] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.41240828720357114, -0.026821321952330345, -0.06656740215323173, -0.9081678271691396] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.3658567189933218, -0.6119251240676276, 0.3102501533620181, -0.6288412725331445] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.2308179184918794, 0.26432722557112004, -0.14038019870347257, -0.925822664518926] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.4363489638426341, -0.5213523479018052, -0.37065469878209856, -0.6327767421148525] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.15751083378097516, -0.5830676086424881, -0.7731435878587035, -0.19357554997086668] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.41698573506483805, 0.5882742372124636, 0.4716906164392004, 0.5075079122021035] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.17835925061073415, -0.7576341567357145, 0.5458453874401553, 0.3102116620619653] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.016537212068790805, -0.06560032016255024, -0.9814007903497085, 0.17965413246716677] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.7933419088044938, -0.4975616690562898, 0.002907610903989995, 0.35075995640778657] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.3635770516878745, -0.09660008514915623, 0.36238757501055235, 0.8527340713921895] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.35469467802378446, 0.900798059498047, 0.14285057027288334, -0.20578691882349764] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.06696575255653868, 0.5321303636902097, -0.6166115894646206, 0.5763184985417141] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.31809816235976984, 0.4876502255202392, -0.7296452532806524, -0.3586483249903866] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.2549514949878876, 0.05524371396681128, 0.9470351218726387, -0.18727612023499066] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.3760153183052231, -0.4217640210815424, 0.6443784334217433, -0.515270827295598] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.6102174060370085, -0.022958466699548683, -0.6694455254088741, -0.42302519391438936] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.5254549417230717, 0.20193294294562072, -0.19303567281299983, -0.8036525491739303] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.7169626866664082, -0.6629494257626796, -0.1589260699014312, -0.14561960415653047] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.040377943142626056, 0.7396298011497441, -0.661651923110657, -0.11633620074048379] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.8080395996415211, -0.5263437715228787, 0.22303374382245625, -0.1424436334371638] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.21962598047172166, 0.45293590819075397, -0.06718005388282963, -0.8614524549466163] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.7348220818417669, 0.06949262003518837, 0.20336956395879577, 0.643310270595446] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.27437168454785316, 0.607839586873941, -0.06548653269996256, -0.7422686369382898] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.5821287086059501, 0.5669682803260325, -0.47414005369298196, 0.338916428054065] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.3970593041780103, 0.8246645098423279, -0.36199337531483944, 0.1767290338352959] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.5081480477127669, 0.3204901365034085, 0.7369345512733142, -0.3098372171791651] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.6953483497932282, -0.7005111230189092, -0.030120917781595695, -0.15769454422590312] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.20780780106593144, -0.4156481640905742, -0.859796494212616, -0.2116660342236624] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.875449475108018, 0.334405906289409, 0.08321243768586052, 0.3388754883231179] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.4878954087431437, -0.201899911445109, -0.016443700876142255, 0.8490724943061776] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.809006993377334, -0.4511704605616954, 0.3107581234699541, 0.21303119227133527] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.2783061701232137, -0.37155930333092624, 0.2983006011383234, 0.833970090075238] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.8685487200401724, 0.4286175969913296, 0.2073677875225473, -0.13750882576751258] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.8559566148691011, 0.23856401969856064, 0.39423286552950637, 0.23453342982075753] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.1756511736975092, 0.07342062889304078, -0.04772989392115008, -0.9805498119207986] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.7200508938250222, 0.6735134759580867, -0.1233849919850085, 0.11261639204619212] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.047335400154722915, 0.49129103138311975, 0.525630527898618, -0.6928961181271857] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.28118642835330543, 0.5395929890335265, 0.40425497687514045, 0.6828993427786086] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.006026285215314257, -0.1679148292265234, -0.7479485565815042, -0.6421380308936511] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.334648430137024, 0.6496056109679386, -0.1394793624167455, 0.6682577989560725] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.7232075581792949, 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 + + + + + AQAAAACAAAAIAgAAgwAAAA==eF5NxzlOQgEARdG3s781luASLCkpKCgsCCGEGENAmUdRAZlZAgWn4DYnN3nupXj4yjIrrLLGN9bZYJMttvnOD3bYZY+f/GKfAw454pgTTjnjnAsuueL3wxKz9syPZ3498+eZjWe2ntl55t8ze88cPHP0zMkzZ89cPHP1zK24A9MiTgE= + + + AQAAAACAAAAIAgAAgwAAAA==eF5NxzlOQgEARdG3s781luASLCkpKCgsCCGEGENAmUdRAZlZAgWn4DYnN3nupXj4yjIrrLLGN9bZYJMttvnOD3bYZY+f/GKfAw454pgTTjnjnAsuueL3wxKz9syPZ3498+eZjWe2ntl55t8ze88cPHP0zMkzZ89cPHP1zK24A9MiTgE= + + + AQAAAACAAAAIAgAAgwAAAA==eF5NxzlOQgEARdG3s781luASLCkpKCgsCCGEGENAmUdRAZlZAgWn4DYnN3nupXj4yjIrrLLGN9bZYJMttvnOD3bYZY+f/GKfAw454pgTTjnjnAsuueL3wxKz9syPZ3498+eZjWe2ntl55t8ze88cPHP0zMkzZ89cPHP1zK24A9MiTgE= + + + + + diff --git a/examples/SpectralMethod/Polycrystal/material.config b/examples/SpectralMethod/Polycrystal/material.config deleted file mode 100644 index ca2824301..000000000 --- a/examples/SpectralMethod/Polycrystal/material.config +++ /dev/null @@ -1,126 +0,0 @@ -#-------------------# - -#-------------------# - -[SX] -mech none - -#-------------------# - -#-------------------# -[Aluminum_phenopowerlaw] -elasticity hooke -plasticity phenopowerlaw - -(output) resistance_slip -(output) orientation # quaternion -(output) F # deformation gradient tensor -(output) Fe # elastic deformation gradient tensor -(output) Fp # plastic deformation gradient tensor -(output) P # first Piola-Kichhoff stress tensor -(output) Lp # plastic velocity gradient tensor - - -lattice_structure fcc -Nslip 12 # per family - -c11 106.75e9 -c12 60.41e9 -c44 28.34e9 - -gdot0_slip 0.001 -n_slip 20 -tau0_slip 31e6 # per family -tausat_slip 63e6 # per family -a_slip 2.25 -h0_slipslip 75e6 -interaction_slipslip 1 1 1.4 1.4 1.4 1.4 - -#-------------------# - -#-------------------# -[Grain01] -(constituent) phase 1 texture 01 fraction 1.0 -[Grain02] -(constituent) phase 1 texture 02 fraction 1.0 -[Grain03] -(constituent) phase 1 texture 03 fraction 1.0 -[Grain04] -(constituent) phase 1 texture 04 fraction 1.0 -[Grain05] -(constituent) phase 1 texture 05 fraction 1.0 -[Grain06] -(constituent) phase 1 texture 06 fraction 1.0 -[Grain07] -(constituent) phase 1 texture 07 fraction 1.0 -[Grain08] -(constituent) phase 1 texture 08 fraction 1.0 -[Grain09] -(constituent) phase 1 texture 09 fraction 1.0 -[Grain10] -(constituent) phase 1 texture 10 fraction 1.0 -[Grain11] -(constituent) phase 1 texture 11 fraction 1.0 -[Grain12] -(constituent) phase 1 texture 12 fraction 1.0 -[Grain13] -(constituent) phase 1 texture 13 fraction 1.0 -[Grain14] -(constituent) phase 1 texture 14 fraction 1.0 -[Grain15] -(constituent) phase 1 texture 15 fraction 1.0 -[Grain16] -(constituent) phase 1 texture 16 fraction 1.0 -[Grain17] -(constituent) phase 1 texture 17 fraction 1.0 -[Grain18] -(constituent) phase 1 texture 18 fraction 1.0 -[Grain19] -(constituent) phase 1 texture 19 fraction 1.0 -[Grain20] -(constituent) phase 1 texture 20 fraction 1.0 - - -#-------------------# - -#-------------------# -[Grain01] -(gauss) phi1 0.0 Phi 0.0 phi2 0.0 -[Grain02] -(gauss) phi1 257.468172 Phi 53.250534 phi2 157.331503 -[Grain03] -(gauss) phi1 216.994815 Phi 94.418518 phi2 251.147231 -[Grain04] -(gauss) phi1 196.157946 Phi 55.870978 phi2 21.68117 -[Grain05] -(gauss) phi1 152.515728 Phi 139.769395 phi2 240.036018 -[Grain06] -(gauss) phi1 232.521881 Phi 73.749222 phi2 241.429633 -[Grain07] -(gauss) phi1 157.531396 Phi 135.503513 phi2 75.737722 -[Grain08] -(gauss) phi1 321.03828 Phi 27.209843 phi2 46.413467 -[Grain09] -(gauss) phi1 346.918594 Phi 87.495569 phi2 113.554206 -[Grain10] -(gauss) phi1 138.038947 Phi 99.827132 phi2 130.935878 -[Grain11] -(gauss) phi1 285.021014 Phi 118.092004 phi2 205.270837 -[Grain12] -(gauss) phi1 190.402171 Phi 56.738068 phi2 157.896545 -[Grain13] -(gauss) phi1 204.496042 Phi 95.031265 phi2 355.814582 -[Grain14] -(gauss) phi1 333.21479 Phi 82.133355 phi2 36.736132 -[Grain15] -(gauss) phi1 25.572981 Phi 164.242648 phi2 75.195632 -[Grain16] -(gauss) phi1 31.366548 Phi 76.392403 phi2 58.071426 -[Grain17] -(gauss) phi1 7.278623 Phi 77.044663 phi2 235.118997 -[Grain18] -(gauss) phi1 299.743144 Phi 76.475096 phi2 91.184977 -[Grain19] -(gauss) phi1 280.13643 Phi 27.439718 phi2 167.871878 -[Grain20] -(gauss) phi1 313.204373 Phi 68.676053 phi2 87.993213 diff --git a/examples/SpectralMethod/Polycrystal/material.yaml b/examples/SpectralMethod/Polycrystal/material.yaml new file mode 100644 index 000000000..04775be4c --- /dev/null +++ b/examples/SpectralMethod/Polycrystal/material.yaml @@ -0,0 +1,126 @@ +--- +homogenization: + SX: + N_constituents: 1 + mech: {type: none} + +material: + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [1.0, 0.0, 0.0, 0.0] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.7936696712125002, -0.28765777461664166, -0.3436487135089419, 0.4113964260949434] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.3986143167493579, -0.7014883552495493, 0.2154871765709027, 0.5500781677772945] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.28645844315788244, -0.022571491243423537, -0.467933059311115, -0.8357456192708106] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.33012772942625784, -0.6781865350268957, 0.6494525351030648, 0.09638521992649676] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.43596817439583935, -0.5982537129781701, 0.046599032277502436, 0.6707106499919265] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.169734823419553, -0.699615227367322, -0.6059581215838098, -0.33844257746495854] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.9698864809294915, 0.1729052643205874, -0.15948307917616958, 0.06315956884687175] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.46205660912967883, 0.3105054068891252, -0.617849551030653, 0.555294529545738] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.4512443497461787, -0.7636045534540555, -0.04739348426715133, -0.45939142396805815] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.2161856212656443, -0.6581450184826598, -0.5498086209601588, 0.4667112513346289] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.8753220715350803, -0.4561599367657419, -0.13298279533852678, -0.08969369719975541] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.11908260752431069, 0.18266024809834172, -0.7144822594012615, -0.664807992845101] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.751104669484278, 0.5585633382623958, -0.34579336397009175, 0.06538900566860861] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.08740438971703973, 0.8991264096610437, -0.4156704205935976, 0.10559485570696363] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.5584325870096193, 0.6016408353068798, -0.14280340445801173, 0.5529814994483859] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.4052725440888093, 0.25253073423599154, 0.5693263597910454, -0.669215876471182] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.7570164606888676, 0.15265448024694664, -0.5998021466848317, 0.20942796551297105] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.6987659297138081, -0.132172211261028, -0.19693254724422338, 0.6748883269678543] + - homogenization: SX + constituents: + - phase: Aluminum + fraction: 1.0 + O: [0.7729330445886478, 0.21682179052722322, -0.5207379472917645, 0.2905078484066341] + +phase: + Aluminum: + elasticity: {C_11: 106.75e9, C_12: 60.41e9, C_44: 28.34e9, type: hooke} + generic: + output: [F, P, F_e, F_p, L_p, O] + lattice: fcc + plasticity: + N_sl: [12] + a_sl: 2.25 + atol_xi: 1.0 + dot_gamma_0_sl: 0.001 + h_0_sl_sl: 75e6 + h_sl_sl: [1, 1, 1.4, 1.4, 1.4, 1.4] + n_sl: 20 + output: [xi_sl] + type: phenopowerlaw + xi_0_sl: [31e6] + xi_inf_sl: [63e6] diff --git a/examples/SpectralMethod/Polycrystal/numerics.config b/examples/SpectralMethod/Polycrystal/numerics.config deleted file mode 100644 index 5008d45a7..000000000 --- a/examples/SpectralMethod/Polycrystal/numerics.config +++ /dev/null @@ -1,2 +0,0 @@ -itmin 4 -itmax 40 diff --git a/examples/SpectralMethod/Polycrystal/numerics.yaml b/examples/SpectralMethod/Polycrystal/numerics.yaml new file mode 100644 index 000000000..1a069cb76 --- /dev/null +++ b/examples/SpectralMethod/Polycrystal/numerics.yaml @@ -0,0 +1,3 @@ +grid: + itmin: 4 + itmax: 40 diff --git a/examples/SpectralMethod/Polycrystal/shearXY.load b/examples/SpectralMethod/Polycrystal/shearXY.load deleted file mode 100644 index 9f89ef886..000000000 --- a/examples/SpectralMethod/Polycrystal/shearXY.load +++ /dev/null @@ -1 +0,0 @@ -fdot 0 0 0 1e-3 0 0 0 0 0 stress * * * * * * * * * time 60 incs 120 freq 20 diff --git a/examples/SpectralMethod/Polycrystal/shearXY.yaml b/examples/SpectralMethod/Polycrystal/shearXY.yaml new file mode 100644 index 000000000..39966d181 --- /dev/null +++ b/examples/SpectralMethod/Polycrystal/shearXY.yaml @@ -0,0 +1,9 @@ +step: + - mech: + dot_F: [0, 0, 0, + 1e-3, 0, 0, + 0, 0, 0] + discretization: + t: 60 + N: 120 + f_out: 20 diff --git a/examples/SpectralMethod/Polycrystal/shearZX.load b/examples/SpectralMethod/Polycrystal/shearZX.load deleted file mode 100644 index 6a3606340..000000000 --- a/examples/SpectralMethod/Polycrystal/shearZX.load +++ /dev/null @@ -1 +0,0 @@ -fdot 0 0 1.0e-3 0 0 0 0 0 0 stress * * * * * * * * * time 60 incs 120 freq 20 diff --git a/examples/SpectralMethod/Polycrystal/shearZX.yaml b/examples/SpectralMethod/Polycrystal/shearZX.yaml new file mode 100644 index 000000000..4395ecf17 --- /dev/null +++ b/examples/SpectralMethod/Polycrystal/shearZX.yaml @@ -0,0 +1,10 @@ +--- +step: + - mech: + dot_F: [0, 0, 1e-3, + 0, 0, 0, + 0, 0, 0] + discretization: + t: 60 + N: 120 + f_out: 20 diff --git a/examples/SpectralMethod/Polycrystal/tensionX.load b/examples/SpectralMethod/Polycrystal/tensionX.load deleted file mode 100644 index b0af80ea8..000000000 --- a/examples/SpectralMethod/Polycrystal/tensionX.load +++ /dev/null @@ -1,2 +0,0 @@ -fdot 1.0e-3 0 0 0 * 0 0 0 * stress * * * * 0 * * * 0 time 10 incs 40 freq 4 -fdot 1.0e-3 0 0 0 * 0 0 0 * stress * * * * 0 * * * 0 time 60 incs 60 diff --git a/examples/SpectralMethod/Polycrystal/tensionX.yaml b/examples/SpectralMethod/Polycrystal/tensionX.yaml new file mode 100644 index 000000000..6e86fdcf2 --- /dev/null +++ b/examples/SpectralMethod/Polycrystal/tensionX.yaml @@ -0,0 +1,25 @@ +--- + +step: + - mech: + dot_F: [1.0e-3, 0, 0, + 0, x, 0, + 0, 0, x] + P: [x, x, x, + x, 0, x, + x, x, 0] + discretization: + t: 10 + N: 40 + f_out: 4 + - mech: + dot_F: [1.0e-3, 0, 0, + 0, x, 0, + 0, 0, x] + P: [x, x, x, + x, 0, x, + x, x, 0] + discretization: + t: 60 + N: 60 + f_out: 4 diff --git a/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_hmp b/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_hmp index 36ced6543..2e6f44b77 100644 --- a/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_hmp +++ b/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_hmp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_lmp b/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_lmp index 8a0c1255d..d908d68ed 100644 --- a/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_lmp +++ b/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_lmp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_mp b/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_mp index 986d9ae04..b31d84d48 100644 --- a/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_mp +++ b/installation/mods_MarcMentat/2018.1/Marc_tools/comp_damask_mp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_hmp b/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_hmp index ac376673a..24a931500 100644 --- a/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_hmp +++ b/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_hmp @@ -63,7 +63,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -177,16 +177,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -203,7 +203,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -226,7 +226,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -246,7 +246,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -269,7 +269,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -333,7 +333,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -388,7 +388,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -498,7 +498,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -523,7 +523,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -543,7 +543,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -613,7 +613,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -624,7 +624,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -635,7 +635,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -651,7 +651,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -665,7 +665,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -676,7 +676,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -847,7 +847,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -898,7 +898,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -934,7 +934,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -943,7 +943,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -998,24 +998,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1030,7 +1030,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1059,7 +1059,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1093,14 +1093,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1108,7 +1108,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1222,11 +1222,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1291,7 +1291,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $nauto -gt 2 then - error="$error + error="$error incorrect option for auto restart " fi fi @@ -1299,7 +1299,7 @@ incorrect option for auto restart " then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1307,7 +1307,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1315,7 +1315,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1642,7 +1642,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1660,7 +1660,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1783,7 +1783,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1825,7 +1825,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1975,7 +1975,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2039,42 +2039,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2327,7 +2327,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2360,7 +2360,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2474,9 +2474,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2560,7 +2560,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2569,7 +2569,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2729,7 +2729,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2753,23 +2753,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2809,7 +2809,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2859,7 +2859,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2870,7 +2870,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2975,7 +2975,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3267,6 +3267,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3309,7 +3310,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3318,10 +3319,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3389,15 +3390,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3579,7 +3580,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3599,6 +3600,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3647,7 +3649,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3696,7 +3698,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3913,7 +3915,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3933,6 +3935,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3972,7 +3975,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4055,7 +4058,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_lmp b/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_lmp index 0417ce4d6..49b6b81fd 100644 --- a/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_lmp +++ b/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_lmp @@ -63,7 +63,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -177,16 +177,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -203,7 +203,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -226,7 +226,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -246,7 +246,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -269,7 +269,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -333,7 +333,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -388,7 +388,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -498,7 +498,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -523,7 +523,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -543,7 +543,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -613,7 +613,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -624,7 +624,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -635,7 +635,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -651,7 +651,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -665,7 +665,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -676,7 +676,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -847,7 +847,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -898,7 +898,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -934,7 +934,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -943,7 +943,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -998,24 +998,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1030,7 +1030,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1059,7 +1059,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1093,14 +1093,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1108,7 +1108,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1222,11 +1222,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1291,7 +1291,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $nauto -gt 2 then - error="$error + error="$error incorrect option for auto restart " fi fi @@ -1299,7 +1299,7 @@ incorrect option for auto restart " then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1307,7 +1307,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1315,7 +1315,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1642,7 +1642,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1660,7 +1660,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1783,7 +1783,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1825,7 +1825,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1975,7 +1975,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2039,42 +2039,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2327,7 +2327,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2360,7 +2360,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2474,9 +2474,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2560,7 +2560,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2569,7 +2569,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2729,7 +2729,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2753,23 +2753,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2809,7 +2809,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2859,7 +2859,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2870,7 +2870,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2975,7 +2975,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3267,6 +3267,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3309,7 +3310,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3318,10 +3319,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3389,15 +3390,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3579,7 +3580,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3599,6 +3600,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3647,7 +3649,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3696,7 +3698,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3913,7 +3915,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3933,6 +3935,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3972,7 +3975,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4055,7 +4058,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_mp b/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_mp index dcf5a10d0..f42b973cf 100644 --- a/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_mp +++ b/installation/mods_MarcMentat/2018.1/Marc_tools/run_damask_mp @@ -63,7 +63,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -177,16 +177,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -203,7 +203,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -226,7 +226,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -246,7 +246,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -269,7 +269,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -333,7 +333,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -388,7 +388,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -498,7 +498,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -523,7 +523,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -543,7 +543,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -613,7 +613,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -624,7 +624,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -635,7 +635,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -651,7 +651,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -665,7 +665,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -676,7 +676,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -847,7 +847,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -898,7 +898,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -934,7 +934,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -943,7 +943,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -998,24 +998,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1030,7 +1030,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1059,7 +1059,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1093,14 +1093,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1108,7 +1108,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1222,11 +1222,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1291,7 +1291,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $nauto -gt 2 then - error="$error + error="$error incorrect option for auto restart " fi fi @@ -1299,7 +1299,7 @@ incorrect option for auto restart " then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1307,7 +1307,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1315,7 +1315,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1642,7 +1642,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1660,7 +1660,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1783,7 +1783,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1825,7 +1825,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1975,7 +1975,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2039,42 +2039,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2327,7 +2327,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2360,7 +2360,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2474,9 +2474,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2560,7 +2560,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2569,7 +2569,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2729,7 +2729,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2753,23 +2753,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2809,7 +2809,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2859,7 +2859,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2870,7 +2870,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2975,7 +2975,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3267,6 +3267,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3309,7 +3310,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3318,10 +3319,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3389,15 +3390,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3579,7 +3580,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3599,6 +3600,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3647,7 +3649,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3696,7 +3698,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3913,7 +3915,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3933,6 +3935,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3972,7 +3975,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4055,7 +4058,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2018.1/Mentat_bin/submit1.original b/installation/mods_MarcMentat/2018.1/Mentat_bin/submit1.original index 0b79caa66..ff6ba14bd 100644 --- a/installation/mods_MarcMentat/2018.1/Mentat_bin/submit1.original +++ b/installation/mods_MarcMentat/2018.1/Mentat_bin/submit1.original @@ -4,7 +4,7 @@ # Normal exit status is 0. # -DIR=/nethome/f.roters/temp/msc/marc2018.1 +DIR=/tmp/msc/marc2018.1 if test $MARCDIR1 then DIR=$MARCDIR1 diff --git a/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_hmp b/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_hmp index 36ced6543..2e6f44b77 100644 --- a/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_hmp +++ b/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_hmp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_lmp b/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_lmp index 8a0c1255d..d908d68ed 100644 --- a/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_lmp +++ b/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_lmp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_mp b/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_mp index 986d9ae04..b31d84d48 100644 --- a/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_mp +++ b/installation/mods_MarcMentat/2018/Marc_tools/comp_damask_mp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2018/Marc_tools/run_damask_hmp b/installation/mods_MarcMentat/2018/Marc_tools/run_damask_hmp index 7cc0b7149..cfd8ab35f 100644 --- a/installation/mods_MarcMentat/2018/Marc_tools/run_damask_hmp +++ b/installation/mods_MarcMentat/2018/Marc_tools/run_damask_hmp @@ -63,7 +63,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -177,16 +177,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -203,7 +203,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -226,7 +226,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -246,7 +246,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -269,7 +269,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -333,7 +333,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -388,7 +388,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -498,7 +498,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -523,7 +523,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -543,7 +543,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -613,7 +613,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -624,7 +624,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -635,7 +635,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -651,7 +651,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -665,7 +665,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -676,7 +676,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -847,7 +847,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -898,7 +898,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -934,7 +934,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -943,7 +943,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -998,24 +998,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1030,7 +1030,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1059,7 +1059,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1093,14 +1093,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1108,7 +1108,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1222,11 +1222,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1291,7 +1291,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $nauto -gt 2 then - error="$error + error="$error incorrect option for auto restart " fi fi @@ -1299,7 +1299,7 @@ incorrect option for auto restart " then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1307,7 +1307,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1315,7 +1315,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1642,7 +1642,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1660,7 +1660,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1783,7 +1783,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1825,7 +1825,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1975,7 +1975,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2039,42 +2039,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2327,7 +2327,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2360,7 +2360,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2474,9 +2474,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2560,7 +2560,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2569,7 +2569,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2729,7 +2729,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2753,23 +2753,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2809,7 +2809,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2859,7 +2859,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2870,7 +2870,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2975,7 +2975,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3267,6 +3267,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3309,7 +3310,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3318,10 +3319,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3389,15 +3390,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3579,7 +3580,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3599,6 +3600,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3647,7 +3649,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3696,7 +3698,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3913,7 +3915,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3933,6 +3935,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3972,7 +3975,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4055,7 +4058,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2018/Marc_tools/run_damask_lmp b/installation/mods_MarcMentat/2018/Marc_tools/run_damask_lmp index 1945e08c2..599e8c523 100644 --- a/installation/mods_MarcMentat/2018/Marc_tools/run_damask_lmp +++ b/installation/mods_MarcMentat/2018/Marc_tools/run_damask_lmp @@ -63,7 +63,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -177,16 +177,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -203,7 +203,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -226,7 +226,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -246,7 +246,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -269,7 +269,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -333,7 +333,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -388,7 +388,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -498,7 +498,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -523,7 +523,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -543,7 +543,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -613,7 +613,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -624,7 +624,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -635,7 +635,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -651,7 +651,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -665,7 +665,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -676,7 +676,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -847,7 +847,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -898,7 +898,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -934,7 +934,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -943,7 +943,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -998,24 +998,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1030,7 +1030,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1059,7 +1059,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1093,14 +1093,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1108,7 +1108,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1222,11 +1222,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1291,7 +1291,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $nauto -gt 2 then - error="$error + error="$error incorrect option for auto restart " fi fi @@ -1299,7 +1299,7 @@ incorrect option for auto restart " then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1307,7 +1307,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1315,7 +1315,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1642,7 +1642,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1660,7 +1660,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1783,7 +1783,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1825,7 +1825,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1975,7 +1975,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2039,42 +2039,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2327,7 +2327,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2360,7 +2360,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2474,9 +2474,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2560,7 +2560,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2569,7 +2569,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2729,7 +2729,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2753,23 +2753,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2809,7 +2809,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2859,7 +2859,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2870,7 +2870,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2975,7 +2975,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3267,6 +3267,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3309,7 +3310,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3318,10 +3319,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3389,15 +3390,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3579,7 +3580,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3599,6 +3600,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3647,7 +3649,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3696,7 +3698,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3913,7 +3915,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3933,6 +3935,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3972,7 +3975,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4055,7 +4058,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2018/Marc_tools/run_damask_mp b/installation/mods_MarcMentat/2018/Marc_tools/run_damask_mp index 3e99d3068..5261654e3 100644 --- a/installation/mods_MarcMentat/2018/Marc_tools/run_damask_mp +++ b/installation/mods_MarcMentat/2018/Marc_tools/run_damask_mp @@ -63,7 +63,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -177,16 +177,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -203,7 +203,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -226,7 +226,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -246,7 +246,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -269,7 +269,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -333,7 +333,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -388,7 +388,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -498,7 +498,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -523,7 +523,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -543,7 +543,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -613,7 +613,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -624,7 +624,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -635,7 +635,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -651,7 +651,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -665,7 +665,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -676,7 +676,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -847,7 +847,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -898,7 +898,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -934,7 +934,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -943,7 +943,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -998,24 +998,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1030,7 +1030,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1059,7 +1059,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1093,14 +1093,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1108,7 +1108,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1222,11 +1222,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1291,7 +1291,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $nauto -gt 2 then - error="$error + error="$error incorrect option for auto restart " fi fi @@ -1299,7 +1299,7 @@ incorrect option for auto restart " then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1307,7 +1307,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1315,7 +1315,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1642,7 +1642,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1660,7 +1660,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1783,7 +1783,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1825,7 +1825,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1975,7 +1975,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2039,42 +2039,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2327,7 +2327,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2360,7 +2360,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2474,9 +2474,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2560,7 +2560,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2569,7 +2569,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2729,7 +2729,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2753,23 +2753,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2809,7 +2809,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2859,7 +2859,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2870,7 +2870,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2975,7 +2975,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3267,6 +3267,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3309,7 +3310,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3318,10 +3319,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3389,15 +3390,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3579,7 +3580,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3599,6 +3600,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3647,7 +3649,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3696,7 +3698,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3913,7 +3915,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3933,6 +3935,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3972,7 +3975,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4055,7 +4058,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2018/Mentat_bin/submit1.original b/installation/mods_MarcMentat/2018/Mentat_bin/submit1.original index 3174756ad..06a7b93b8 100644 --- a/installation/mods_MarcMentat/2018/Mentat_bin/submit1.original +++ b/installation/mods_MarcMentat/2018/Mentat_bin/submit1.original @@ -4,7 +4,7 @@ # Normal exit status is 0. # -DIR=/nethome/storage/raid3/f.roters/Software/MSC/Marc2018-RH7.1/marc2018 +DIR=/tmp/msc/marc2018 if test $MARCDIR1 then DIR=$MARCDIR1 diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_hmp b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_hmp new file mode 100644 index 000000000..de6fce745 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_hmp @@ -0,0 +1,53 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +usernoext=$user +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + +# add BLAS options for linking + BLAS="%BLAS%" + +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user on host `hostname`" +echo "program: $program" + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$usernoext.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $BLAS \ + $SYSLIBS || \ + { + echo "$0: link failed for $usernoext.o on host `hostname`" + exit 1 + } + /bin/rm $userobj + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_lmp b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_lmp new file mode 100644 index 000000000..6d063adf3 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_lmp @@ -0,0 +1,53 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +usernoext=$user +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + +# add BLAS options for linking + BLAS="%BLAS%" + +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user on host `hostname`" +echo "program: $program" + $DFORTRANLOWMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$usernoext.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $BLAS \ + $SYSLIBS || \ + { + echo "$0: link failed for $usernoext.o on host `hostname`" + exit 1 + } + /bin/rm $userobj + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_mp b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_mp new file mode 100644 index 000000000..871b8a449 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_damask_mp @@ -0,0 +1,53 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +usernoext=$user +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + +# add BLAS options for linking + BLAS="%BLAS%" + +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user on host `hostname`" +echo "program: $program" + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$usernoext.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $BLAS \ + $SYSLIBS || \ + { + echo "$0: link failed for $usernoext.o on host `hostname`" + exit 1 + } + /bin/rm $userobj + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/comp_user.original b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_user.original new file mode 100644 index 000000000..8679bb041 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/comp_user.original @@ -0,0 +1,41 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user.f on host `hostname`" +echo "program: $program" + $FORTRAN $user.f || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$user.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SYSLIBS || \ + { + echo "$0: link failed for $user.o on host `hostname`" + exit 1 + } + /bin/rm $userobj diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/include_linux64 b/installation/mods_MarcMentat/2019.1/Marc_tools/include_linux64 new file mode 100644 index 000000000..e0178a9c8 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/include_linux64 @@ -0,0 +1,818 @@ +# +# General definitions for the Marc 2019 FP1 version +# +# EM64T +# +# Linux RedHat 7.1, 7.3 / SuSE 11 SP4, 12 SP1 +# +# 64 bit MPI version +# +# Intel(R) Fortran Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 17.0.5.239 Build 20170817 +# +# Intel(R) C Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 17.0.5.239 Build 20170817 +# +# To check the O/S level, type: +# uname -a +# +# Distributed parallel MPI libraries: +# 1) HP MPI 2.3 +# To check the mpi version, type: +# mpirun -version +# 2) Intel MPI 2017.1 +# To check the mpi version, type: +# mpiexec.hydra -version +# +# To check the Compiler level, type using the compiler +# installation path: +# ifort -V +# icc -V +# +# REMARKS : This file contains the definitions of variables used during +# compilation loading and use of the MARC programmes . The +# current machine type is identified by means of the variable +# MACHINE , defined below. +# +# +# MPI_ROOT: root directory in which mpi shared libraries, etc. are located +# DIRJOB : directory in which spawned jobs should look for Marc input +# MPI_ARCH: system architecture +# MPI_EPATH: path where executable resides +# +REVISION="VERSION, BUILD" +HOSTNAME=`hostname` + +# find available memory in Mbyte on the machine +# can be set explicitly +MEMLIMIT=`free -m | awk '/Mem:/ {print $2}'` + +# set _OEM_NASTRAN to 1 for MD Nastran build +# override _OEM_NASTRAN setting with MARC_MD_NASTRAN environment variable +_OEM_NASTRAN="${MARC_MD_NASTRAN:-0}" + +# uncomment the following line for an autoforge build +#AUTOFORGE=1 +AUTOFORGE=0 +export AUTOFORGE + +# integer size +if test "$MARC_INTEGER_SIZE" = "" ; then + INTEGER_PATH= +else + INTEGER_PATH=/$MARC_INTEGER_SIZE +fi + +FCOMP=ifort +INTELPATH="/opt/intel/compilers_and_libraries_2017/linux" + +# find the root directory of the compiler installation: +# - if ifort is found in $PATH, then the root directory is derived +# from the path to ifort +# - if ifort is not found in $PATH, the root directory is assumed +# to be $INTELPATH and the directory in which ifort is found is +# added to $PATH +FCOMPPATH=`which "$FCOMP" 2>/dev/null` +if test -n "$FCOMPPATH"; then + # derive the root directory from $FCOMPPATH + FCOMPROOT="${FCOMPPATH%/bin/intel64/$FCOMP}" + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT="${FCOMPPATH%/bin/$FCOMP}" + fi + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT= + fi +elif test -d "$INTELPATH"; then + # check for compiler in $INTELPATH + if test -d "$INTELPATH/bin/intel64" -a \ + -x "$INTELPATH/bin/intel64/$FCOMP" ; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin/intel64:$PATH" + elif test -d "$INTELPATH/bin" -a \ + -x "$INTELPATH/bin/$FCOMP"; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin:$PATH" + else + FCOMPROOT= + fi +else + FCOMPROOT= +fi + +# DAMASK uses the HDF5 compiler wrapper around the Intel compiler +H5FC="$(h5fc -shlib -show)" +HDF5_LIB=${H5FC//ifort/} +FCOMP="$H5FC -DDAMASK_HDF5" + +# AEM +if test "$MARCDLLOUTDIR" = ""; then + DLLOUTDIR="$MARC_LIB" +else + DLLOUTDIR="$MARCDLLOUTDIR" +fi + +# settings for MKL +if test "$IMKLDIR" = ""; then + MARC_MKL="$FCOMPROOT/mkl/lib/intel64" +else + MARC_MKL=$IMKLDIR/lib/intel64 +fi + +# +# settings for Metis +# +METIS="-I$METIS_SOURCE/include" +METISLIBS="$METISLIB_DIR/libmarcddm.a $METISLIB_DIR/libmarcmetis.a " + +# +# settings for MPI +# +# RCP and RSH are used for parallel network runs +# replace with similar commands like rsh if needed +RCP=/usr/bin/scp +RSH=/usr/bin/ssh +# + + +MPI_DEFAULT=intelmpi +MPI_OTHER=hpmpi + +MPITYPE=$MPI_DEFAULT + +if test $AUTOFORGE +then + if test $AUTOFORGE = 1 + then + MPITYPE=none + fi +fi + + +# overrule MPITYPE setting with environmental variable MARC_MPITYPE +if test $MARC_MPITYPE +then + MPITYPE=$MARC_MPITYPE +fi + +# always set MPITYPE to none for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + MPITYPE=none +fi + +# Edit following lines to build with GPGPU version of BCS Solver for +# NVIDIA platforms +#BCSGPUSOLVER=NONE +BCSGPUSOLVER=BCSGPU + +# Edit following lines to set the openssl library +if test "$OPENSSL" != "NONE" +then + OPENSSL_LIB="$MARC_LIB/libcrypto.a" +fi +OPENSSL_INCLUDE=-I"$MARC_OPENSSL/include/" + +MARCHDF_HDF=HDF +#MARCHDF_HDF=NONE +if test "$MARCHDF_HDF" = "HDF"; then + HDF_INCLUDE="-I$MARC_HDF/include" + HDF_LIBS="$MARC_LIB/libhdf5_fortran.so.100 $MARC_LIB/libhdf5.so.101" +fi + +# activate contact component build if flagged +AEM_DLL=0 +if test "$AEM_BUILD" = "ON" ; then + AEM_DLL=1 + LINK_MARC_DLL="-shared -fPIC" + EXT_DLL="so" + MPITYPE=none + MPI_OTHER= + BCSGPUSOLVER=NONE + MUMPSSOLVER=NONE + CASISOLVER=NONE +fi + +SOLVERFLAGS= +if test "$BCSGPUSOLVER" = BCSGPU +then + SOLVERFLAGS="$SOLVERFLAGS -DBCSGPU -DCUDA" + BCS_DIR=bcsgpusolver +else + BCS_DIR=bcssolver +fi +# +# settings for MPI +# +DDM= +if test $MPITYPE != none +then + if test $MPITYPE = hpmpi + then + FCOMPMPI=mpif90 + export MPI_ROOT=$MARC_HPMPI + export MPI_REMSH=$RSH + export MPI_F77=$FCOMP + ARCHITECTURE=linux_amd64 + DDM="-I$MPI_ROOT/include/64 -DDDM -DHPMPI" + MPI_CLEAN= + export MPI_EPATH=$MARC_BIN + export LD_LIBRARY_PATH=$MPI_ROOT/lib/$ARCHITECTURE:$MARC_LIB:$MARC_LIB_SHARED:$LD_LIBRARY_PATH + export MPIHPSPECIAL="-e MPI_FLAGS=E,T,y1" +# Below line is moved in run_marc file +# export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + export MPIHPSPECIAL="$MPIHPSPECIAL -e BINDIR=$MARC_BIN" + if test -n "$MSC_LICENSE_FILE" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e MSC_LICENSE_FILE=$MSC_LICENSE_FILE" + fi + if test -n "$LM_LICENSE_FILE" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LM_LICENSE_FILE=$LM_LICENSE_FILE" + fi + export MPIHPSPECIAL="$MPIHPSPECIAL -e MPI_LIC_CHECKER=$MPI_ROOT/bin/licensing/amd64_s8/lichk.x" + RUN_JOB2="$MPI_ROOT/bin/mpirun ${MPIRUNOPTIONS} -prot -f " + RUN_JOB1="$MPI_ROOT/bin/mpirun ${MPIRUNOPTIONS} -prot -w $MPIHPSPECIAL -np " + RUN_JOB0= + fi + if test $MPITYPE = intelmpi + then + INTELMPI_VERSION=HYDRA + FCOMPMPI=mpiifort + MPI_ROOT=$MARC_INTELMPI + DDM="-I${MPI_ROOT}/include -DDDM" + PATH=$MPI_ROOT/bin:$PATH + export PATH + LD_LIBRARY_PATH=$MPI_ROOT/lib:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + if test $INTELMPI_VERSION = HYDRA + then + RUN_JOB1="${MPI_ROOT}/bin/mpiexec.hydra -genvall -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec.hydra -genvall" + else + RUN_JOB1="${MPI_ROOT}/bin/mpiexec -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec -configfile " + fi + RUN_JOB0= + MPI_CLEAN= + MPI_EPATH=$MARC_BIN + MPIR_HOME=$MPI_ROOT + MPICH_F77=$FCOMP + MPICH_F77LINKER=$FCOMP + export MPI_ROOT MPI_EPATH MPIR_HOME MPICH_F77 MPICH_F77LINKER + I_MPI_PIN_DOMAIN=node + export I_MPI_PIN_DOMAIN + fi +else + MPI_ROOT=$MARC_DUMMYMPI + export MPI_ROOT=$MARC_DUMMYMPI + DDM="-I$MPI_ROOT/include" +fi + +# +# variables for the "maintain" script +# + +MACHINENAME=LINUX +MACHINE64BIT=yes +MACHINE=Linux_EM64T +DEV=/dev/tape +GETLOG="whoami" +CLEAR="clear" +MY_UNAME=`uname -a` + +# Edit following 2 lines to build with VKI Solver +#VKISOLVER=VKI +VKISOLVER=NONE + +# Edit following 2 lines to build with CASI Solver +CASISOLVER=CASI +if test "$MARC_CASISOLVER" = "NONE" ; then + CASISOLVER=NONE +fi +#CASISOLVER=NONE + +# Edit following 2 lines to build with MF2 Solver +MF2SOLVER=NONE +#MF2SOLVER=SERIAL +#MF2SOLVER=MF2PARALLEL + +# Edit following lines to build with Intel(c) Multithreaded solver (PARDISO) +#INTELSOLVER=NONE +INTELSOLVER=PARDISO + +# Edit following lines to build with MUMPS +if test "$MARC_INTEGER_SIZE" = "i4" ; then + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +else + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +fi + +# Edit following 2 lines to build MARC dynamic shared library +MARC_DLL=MARC_DLL +MARC_DLL=NONE + +# always set VKISOLVER, CASISOLVER, BCSGPUSOLVER, and MARC_DLL to NONE for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE + MARC_DLL=NONE +fi +if test "$AEM_DLL" -eq 1 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE +fi + +# +# define Fortran and C compile syntax +# +if test "$VKISOLVER" = VKI +then + SOLVERFLAGS="$SOLVERFLAGS -DVKI" +fi + +if test "$CASISOLVER" = CASI +then + SOLVERFLAGS="$SOLVERFLAGS -DCASI" +fi + +if test "$MF2SOLVER" = MF2PARALLEL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2PARALLEL" +fi +if test "$MF2SOLVER" = MF2SERIAL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2SERIAL" +fi + +if test "$INTELSOLVER" = PARDISO +then + SOLVERFLAGS="$SOLVERFLAGS -DPARDISO" +fi + +if test "$MUMPSSOLVER" = MUMPS +then + SOLVERFLAGS="$SOLVERFLAGS -DMUMPS" +fi + + +if test "$MARC_DLL" = MARC_DLL +then + SOLVERFLAGS="$SOLVERFLAGS -DMARC_DLL" +fi + +LINK_OPT= +DEBUG_OPT= +C_DEBUG_OPT= + +#Uncomment following line to build Marc in debuggable mode +MARCDEBUG= +#MARCDEBUG="ON" + +if test "$MARCDEBUG" = "ON" +then + LINK_OPT="-debug -traceback" + DEBUG_OPT="-debug -traceback" + C_DEBUG_OPT="-debug -traceback" +fi + + +MARCCHECK= +#MARCCHECK="ON" +if test "$MARCCHECK" = "ON" +then + DEBUG_OPT="$DEBUG_OPT -fpe0 -fp-stack-check -check all -ftrapuv " + C_DEBUG_OPT="$C_DEBUG_OPT -fp-stack-check -check-uninit -Wformat -ftrapuv " +fi + +MARCCODECOV= +#MARCCODECOV="ON" + +MARCCODEPROF= +#MARCCODEPROF="ON" + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + I8FFLAGS= + I8DEFINES= + I8CDEFINES= +else + I8FFLAGS="-i8 -integer-size 64" + I8DEFINES="-DI64 -DINT=8" + I8CDEFINES="-U_DOUBLE -D_SINGLE" +fi + +MTHREAD=OPENMP +if test "$MARC_OPENMP" = "NONE" ; then + MTHREAD=NONE +fi +#MTHREAD=NONE +if test "$_OEM_NASTRAN" -ne 0 +then +MTHREAD=NONE +fi +if test "$AEM_DLL" -eq 1 +then + MTHREAD=NONE + CASISOLVER=NONE + VKISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + BCSGPUSOLVER=NONE + OPENSSL_LIB= + MARC_DLL=NONE + METISLIBS= +fi + +OMP_COMPAT=NO +OMP_COMPAT=YES +if test "$MTHREAD" = "NONE" +then +OMP_COMPAT=NO +fi + +CDEFINES= +FDEFINES= + +if test "$_OEM_NASTRAN" -ne 0 +then + CDEFINES="$CDEFINES -D_OEM_NASTRAN" + FDEFINES="$FDEFINES -D_OEM_NASTRAN" +fi + +FDEFINES="$FDEFINES -D_IMPLICITNONE" + +if test "$_OEM_NASTRAN" -eq 0 +then + FDEFINES="$FDEFINES -DMKL -DOPENMP" +fi + +if test "$OMP_COMPAT" = "YES" +then + FDEFINES="$FDEFINES -DOMP_COMPAT" +fi + +# -D_MSCMARC +FDEFINES="$FDEFINES -D_MSCMARC $DEBUG_OPT $MARC_SIMUFACT" +CDEFINES="$CDEFINES -D_MSCMARC $C_DEBUG_OPT $I8CDEFINES" + +if test "$AEM_DLL" -eq 1 +then + FDEFINES="$FDEFINES -D_AEMNL -DAAA" + CDEFINES="$CDEFINES -D_AEMNL -DAAA" +fi + +CINCL="-I$MARC_SOURCE/mdsrc -I$MARC_SOURCE/csource $METIS -I$LAPI_IMPORTS/common/include" +if test "$_OEM_NASTRAN" -ne 0 +then + CINCL="$CINCL -I../../include" +fi + +CC_OPT= +if test "$MTHREAD" = "OPENMP" +then + CC_OPT=" $CC_OPT -qopenmp" +fi + +CC="icc -c $CC_OPT -O1 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCLOW="icc -c $CC_OPT -O0 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCHIGH="icc -c $CC_OPT -O3 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + +if test "$MARCDEBUG" = "ON" +then + CC="icc -c $CC_OPT -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCLOW="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCHIGH="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +fi + +LOAD_CC="icc $CC_OPT -O1 -DLinux -DLINUX -DLinux_intel" +CCT="$CC" +CCTLOW="$CCLOW" +CCTHIGH="$CCHIGH" + +#PROFILE="-Mprof=func" +#PROFILE="-Mprof=lines" +#PROFILE="-Mprof=func,mpi" +PROFILE= +#PROFILE="-init=snan,arrays -CB -traceback -fpe0 -fp-stack-check -check all -check uninit -ftrapuv" +if test "$MARCCODECOV" = "ON" +then +PROFILE="-prof-gen=srcpos" +fi +if test "$MARCCODEPROF" = "ON" +then +PROFILE=" $PROFILE -pg" +fi + +FORT_OPT="-c -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr -mp1 -WB -fp-model source" +if test "$MTHREAD" = "OPENMP" +then + FORT_OPT=" $FORT_OPT -qopenmp" + if test "$OMP_COMPAT" = "YES" + then + FORT_OPT=" $FORT_OPT -qopenmp-threadprivate=compat" + fi +else +# FORT_OPT=" $FORT_OPT -auto " + FORT_OPT=" $FORT_OPT -save -zero" +fi +if test "$MARCHDF_HDF" = "HDF"; then + FORT_OPT="$FORT_OPT -DMARCHDF=$MARCHDF_HDF" +fi + +FORTLOW="$FCOMP $FORT_OPT $PROFILE -O0 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTRAN="$FCOMP $FORT_OPT $PROFILE -O1 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTNA="$FCOMP $FORT_OPT -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +# for compiling free form f90 files. high opt, integer(4) +FORTF90="$FCOMP -c -O3" + +# determine DAMASK version +if test -n "$DAMASK_USER"; then + DAMASKROOT=`dirname $DAMASK_USER`/.. + read DAMASKVERSION < $DAMASKROOT/VERSION + DAMASKVERSION="'"$DAMASKVERSION"'" +else + DAMASKVERSION="'N/A'" +fi + + +# DAMASK compiler calls: additional flags are in line 2 OpenMP flags in line 3 +DFORTLOWMP="$FCOMP -c -O0 -qno-offload -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr $PROFILE -zero -mp1 -WB $I8FFLAGS -I$MARC_SOURCE/common \ + -fpp -ftz -diag-disable 5268 -warn declarations -warn general -warn usage -warn interfaces -warn ignore_loc -warn alignments -DMarc4DAMASK=2019 -DDAMASKVERSION=$DAMASKVERSION \ + -qopenmp -qopenmp-threadprivate=compat\ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +DFORTRANMP="$FCOMP -c -O1 -qno-offload -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr $PROFILE -zero -mp1 -WB $I8FFLAGS -I$MARC_SOURCE/common \ + -fpp -ftz -diag-disable 5268 -warn declarations -warn general -warn usage -warn interfaces -warn ignore_loc -warn alignments -DMarc4DAMASK=2019 -DDAMASKVERSION=$DAMASKVERSION \ + -qopenmp -qopenmp-threadprivate=compat\ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +DFORTHIGHMP="$FCOMP -c -O3 -qno-offload -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr $PROFILE -zero -mp1 -WB $I8FFLAGS -I$MARC_SOURCE/common \ + -fpp -ftz -diag-disable 5268 -warn declarations -warn general -warn usage -warn interfaces -warn ignore_loc -warn alignments -DMarc4DAMASK=2019 -DDAMASKVERSION=$DAMASKVERSION \ + -qopenmp -qopenmp-threadprivate=compat\ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + +if test "$MARCDEBUG" = "ON" +then + FORTLOW="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTRAN="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTNA="$FCOMP $FORT_OPT -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +fi + + +FORTLOWT="$FORTLOW" +FORTRANT="$FORTRAN" +FORTHIGHT="$FORTHIGH" + +FORTRANMNF="$FCOMP -c $FDEFINES " +CCMNF="icc -c -O1 -DLinux -DLINUX -DLinux_intel -Dport2egcs -I$MARC_SOURCE/marctoadams/mnf/include -D_LARGEFILE64_SOURCE" + +if test $MPITYPE != none +then + if test $MPITYPE = hpmpi + then + LOAD="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + LOADT="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + fi +# Uncomment the following lines to turn on the tracer and commnet out the next 5 lines +# if test $MPITYPE = intelmpi +# then +# INCLUDEMPI="-I$MPI_ROOT/include -I$VT_ROOT/include" +# LOAD="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# LOADT="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# fi + if test $MPITYPE = intelmpi + then + LOAD="ifort $PROFILE $LINK_OPT -o " + LOADT="ifort $PROFILE $LINK_OPT -o " + fi +else + LOAD="$FCOMP $LINK_OPT -o " + LOADT="$FCOMP $LINK_OPT -o " +fi + +if test "$MARC_DLL" = MARC_DLL +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide -lpthread" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + +if test "$AEM_DLL" -eq 1 +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + + +XLIBS="-L/usr/X11/lib -lX11 " + +# +# define archive and ranlib syntax +# + +ARC="ar rvl" +ARD="ar dvl" +ARX="ar xl" +RAN="" + +# +# choose which libraries you want to use ( e.g. blas ) +# + +if test "$VKISOLVER" = VKI +then + VKISOLVERLIBS="$MARC_LIB/vkisolver.a" +else + VKISOLVERLIBS= +fi + +if test "$CASISOLVER" = CASI +then + CASISOLVERLIBS="$CASILIB_DIR/libmarccasi.a $CASILIB_DIR/libcasi.a" +else + CASISOLVERLIBS= +fi + +MF2SOLVERLIBS= +if test "$MF2SOLVER" = MF2PARALLEL +then + MF2SOLVERLIBS="$MARC_LIB/mf2parallel/libseq.a \ + $MARC_LIB/mf2parallel/libsym.a \ + $MARC_LIB/mf2parallel/libmet.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libnum.a \ + $MARC_LIB/mf2parallel/libutl.a \ + $MARC_LIB/mf2parallel/libr8.a \ + $MARC_LIB/mf2parallel/libz.a " +fi + +if test "$MUMPSSOLVER" = MUMPS +then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps.a" + if test $MPITYPE = none + then + MUMPSSOLVERLIBS2= + echo hello > /dev/null + fi + if test $MPITYPE = intelmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a " + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a " + fi + fi + if test $MPITYPE = hpmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_hpmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a" + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a" + fi + fi +else + MUMPSSOLVERLIBS= + MUMPSSOLVERLIBS2= +fi + +if test "$BCSGPUSOLVER" = BCSGPU +then + BCSSOLVERLIBS="${BCSLIB_DIR}/bcsgpulib.a " + MARCCUDALIBS1="-L${BCSLIB_DIR}/cuda_dummy -lmarccuda " + MARCCUDALIBS2="-L${BCSLIB_DIR}/cuda -lmarccuda " + MARCCUDALIBS=$MARCCUDALIBS1 +else + BCSSOLVERLIBS="${MARC_LIB}/bcslib.a " +fi +if test "$AEM_DLL" -eq 1 +then + BCSSOLVERLIBS= +fi + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + MKLLIB="$MARC_MKL/libmkl_scalapack_lp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_lp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MARC_MKL/libmkl_blacs_intelmpi_lp64.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +else + MKLLIB="$MARC_MKL/libmkl_scalapack_ilp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_ilp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +fi + +SECLIBS="-L$MARC_LIB -llapi" + +SOLVERLIBS="${BCSSOLVERLIBS} ${VKISOLVERLIBS} ${CASISOLVERLIBS} ${MF2SOLVERLIBS} \ + $MKLLIB -L$MARC_MKL -liomp5 \ + $MARC_LIB/blas_src.a ${ACSI_LIB}/ACSI_MarcLib.a $KDTREE2_LIB/kdtree2.a $HDF5_LIB" + +SOLVERLIBS_DLL=${SOLVERLIBS} +if test "$AEM_DLL" -eq 1 +then +SOLVERLIBS_DLL="$MKLLIB -L$MARC_MKL -liomp5 $MARC_LIB/blas_src.a" +fi +MRCLIBS="$MARC_LIB/clib.a ${CASISOLVERLIBS}" +MRCLIBSPAR="$MARC_LIB/clib.a" +STUBS="$MARC_LIB/stubs.a " +MNFLIBS="$MARC_LIB/libmnf.a" +MDUSER="$MARC_LIB/md_user.a" +if test "X$MARC_SIMUFACT" != "X" +then + SFLIB="-L$SFMATDIR -lMBA_Grain" +else + SFLIB=" " +fi +OPENMP="-qopenmp" + +if test "$AEM_DLL" -eq 1 +then + LOAD_DLL=$LOAD + OPENMP= + LIBMNF= + OPENSSL=NONE +fi + +SYSLIBS=" $OPENMP -lpthread -cxxlib" + +# Uncomment the following lines to turn on the trace and comment out the next 4 lines +# if test $MPITYPE = intelmpi +# then +# SYSLIBS="-L${VT_ROOT}/lib -lVT -ldwarf -lelf -lm -lpthread \ +# -L${MPI_ROOT}/lib64 -lmpi -lmpiif -lmpigi -lrt" +# fi +if test $MPITYPE = intelmpi +then + SYSLIBS="-L${MPI_ROOT}/lib -lmpi_mt -lmpifort -lrt $OPENMP -threads -lpthread -cxxlib" +fi + + +SYSLIBSPAR=" " + +MARC_DLL_CODES="runmarc.f" + + +BLAS_SRC="dzero.f icopy.f izero.f" +if test "$_OEM_NASTRAN" -ne 0 +then + if test "$MARC_INTEGER_SIZE" = "i4" ; then + BLAS_SRC="$BLAS_SRC dsctr.f zsctr.f dzasum.f daxpyi.f zaxpyi.f dgthr.f zgthr.f" + else + BLAS_SRC="ALL" + fi +fi + +LOW_OPT_CODES="are163.f contro.f ndext.f omarc.f omarca.f omarcb.f omarcc.f \ + omars.f fixbc.f triang.f bet049.f norst3.f eldata.f \ + elec*.f elct*.f fmeig.f oada00.f ogeig.f updtrbe2.f cycrota.f \ + cordef.f ogpk.f ogtan.f eldam.f formrbe3.f \ + inertie.f em_sso072.f cn_fol3d_qpatch6.f cosim_begin.f" +if test "$MARC_INTEGER_SIZE" = "i8" ; then + LOW_OPT_CODES="$LOW_OPT_CODES bbcseg.f" +fi + +HIGH_OPT_CODES="dpsmsa1.f dpsmsa2.f dpsmsa3.f dpsmsa4.f dpsmsa5.f dpsmsa6.f \ + dpsmsa7.f dpsmsa8.f dpsmsa9.f dpsmsa10.f dpsmsa11.f dpsmsa12.f \ + dpsmsa13.f dpsmsa14.f dpsmsa15.f dpsmsa16.f dpsmsah.f tpsmsah.f cn_qsort4_11.f \ + prei11.f prei12.f prei31.f prei32.f prei41.f prei42.f prei61.f prei62.f \ + prei1n.f prei2n.f cgfullnts1.f cgfullnts2.f cg1n.f cg2n.f cg3n.f \ + cg4n.f cg5n.f cg6n.f cgnn.f sortab.f sortab1.f triann1.f preinv_nts.f " + + + +MAXNUM=1000000 diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/include_linux64.original b/installation/mods_MarcMentat/2019.1/Marc_tools/include_linux64.original new file mode 100644 index 000000000..224d3b6d6 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/include_linux64.original @@ -0,0 +1,788 @@ +# +# General definitions for the Marc 2019 FP1 version +# +# EM64T +# +# Linux RedHat 7.1, 7.3 / SuSE 11 SP4, 12 SP1 +# +# 64 bit MPI version +# +# Intel(R) Fortran Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 17.0.5.239 Build 20170817 +# +# Intel(R) C Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 17.0.5.239 Build 20170817 +# +# To check the O/S level, type: +# uname -a +# +# Distributed parallel MPI libraries: +# 1) HP MPI 2.3 +# To check the mpi version, type: +# mpirun -version +# 2) Intel MPI 2017.1 +# To check the mpi version, type: +# mpiexec.hydra -version +# +# To check the Compiler level, type using the compiler +# installation path: +# ifort -V +# icc -V +# +# REMARKS : This file contains the definitions of variables used during +# compilation loading and use of the MARC programmes . The +# current machine type is identified by means of the variable +# MACHINE , defined below. +# +# +# MPI_ROOT: root directory in which mpi shared libraries, etc. are located +# DIRJOB : directory in which spawned jobs should look for Marc input +# MPI_ARCH: system architecture +# MPI_EPATH: path where executable resides +# +REVISION="VERSION, BUILD" +HOSTNAME=`hostname` + +# find available memory in Mbyte on the machine +# can be set explicitly +MEMLIMIT=`free -m | awk '/Mem:/ {print $2}'` + +# set _OEM_NASTRAN to 1 for MD Nastran build +# override _OEM_NASTRAN setting with MARC_MD_NASTRAN environment variable +_OEM_NASTRAN="${MARC_MD_NASTRAN:-0}" + +# uncomment the following line for an autoforge build +#AUTOFORGE=1 +AUTOFORGE=0 +export AUTOFORGE + +# integer size +if test "$MARC_INTEGER_SIZE" = "" ; then + INTEGER_PATH= +else + INTEGER_PATH=/$MARC_INTEGER_SIZE +fi + +FCOMP=ifort +INTELPATH="/opt/intel/compilers_and_libraries_2017/linux" + +# find the root directory of the compiler installation: +# - if ifort is found in $PATH, then the root directory is derived +# from the path to ifort +# - if ifort is not found in $PATH, the root directory is assumed +# to be $INTELPATH and the directory in which ifort is found is +# added to $PATH +FCOMPPATH=`which "$FCOMP" 2>/dev/null` +if test -n "$FCOMPPATH"; then + # derive the root directory from $FCOMPPATH + FCOMPROOT="${FCOMPPATH%/bin/intel64/$FCOMP}" + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT="${FCOMPPATH%/bin/$FCOMP}" + fi + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT= + fi +elif test -d "$INTELPATH"; then + # check for compiler in $INTELPATH + if test -d "$INTELPATH/bin/intel64" -a \ + -x "$INTELPATH/bin/intel64/$FCOMP" ; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin/intel64:$PATH" + elif test -d "$INTELPATH/bin" -a \ + -x "$INTELPATH/bin/$FCOMP"; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin:$PATH" + else + FCOMPROOT= + fi +else + FCOMPROOT= +fi + +# AEM +if test "$MARCDLLOUTDIR" = ""; then + DLLOUTDIR="$MARC_LIB" +else + DLLOUTDIR="$MARCDLLOUTDIR" +fi + +# settings for MKL +if test "$IMKLDIR" = ""; then + MARC_MKL="$FCOMPROOT/mkl/lib/intel64" +else + MARC_MKL=$IMKLDIR/lib/intel64 +fi + +# +# settings for Metis +# +METIS="-I$METIS_SOURCE/include" +METISLIBS="$METISLIB_DIR/libmarcddm.a $METISLIB_DIR/libmarcmetis.a " + +# +# settings for MPI +# +# RCP and RSH are used for parallel network runs +# replace with similar commands like rsh if needed +RCP=/usr/bin/scp +RSH=/usr/bin/ssh +# + + +MPI_DEFAULT=intelmpi +MPI_OTHER=hpmpi + +MPITYPE=$MPI_DEFAULT + +if test $AUTOFORGE +then + if test $AUTOFORGE = 1 + then + MPITYPE=none + fi +fi + + +# overrule MPITYPE setting with environmental variable MARC_MPITYPE +if test $MARC_MPITYPE +then + MPITYPE=$MARC_MPITYPE +fi + +# always set MPITYPE to none for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + MPITYPE=none +fi + +# Edit following lines to build with GPGPU version of BCS Solver for +# NVIDIA platforms +#BCSGPUSOLVER=NONE +BCSGPUSOLVER=BCSGPU + +# Edit following lines to set the openssl library +if test "$OPENSSL" != "NONE" +then + OPENSSL_LIB="$MARC_LIB/libcrypto.a" +fi +OPENSSL_INCLUDE=-I"$MARC_OPENSSL/include/" + +MARCHDF_HDF=HDF +#MARCHDF_HDF=NONE +if test "$MARCHDF_HDF" = "HDF"; then + HDF_INCLUDE="-I$MARC_HDF/include" + HDF_LIBS="$MARC_LIB/libhdf5_fortran.so.100 $MARC_LIB/libhdf5.so.101" +fi + +# activate contact component build if flagged +AEM_DLL=0 +if test "$AEM_BUILD" = "ON" ; then + AEM_DLL=1 + LINK_MARC_DLL="-shared -fPIC" + EXT_DLL="so" + MPITYPE=none + MPI_OTHER= + BCSGPUSOLVER=NONE + MUMPSSOLVER=NONE + CASISOLVER=NONE +fi + +SOLVERFLAGS= +if test "$BCSGPUSOLVER" = BCSGPU +then + SOLVERFLAGS="$SOLVERFLAGS -DBCSGPU -DCUDA" + BCS_DIR=bcsgpusolver +else + BCS_DIR=bcssolver +fi +# +# settings for MPI +# +DDM= +if test $MPITYPE != none +then + if test $MPITYPE = hpmpi + then + FCOMPMPI=mpif90 + export MPI_ROOT=$MARC_HPMPI + export MPI_REMSH=$RSH + export MPI_F77=$FCOMP + ARCHITECTURE=linux_amd64 + DDM="-I$MPI_ROOT/include/64 -DDDM -DHPMPI" + MPI_CLEAN= + export MPI_EPATH=$MARC_BIN + export LD_LIBRARY_PATH=$MPI_ROOT/lib/$ARCHITECTURE:$MARC_LIB:$MARC_LIB_SHARED:$LD_LIBRARY_PATH + export MPIHPSPECIAL="-e MPI_FLAGS=E,T,y1" +# Below line is moved in run_marc file +# export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + export MPIHPSPECIAL="$MPIHPSPECIAL -e BINDIR=$MARC_BIN" + if test -n "$MSC_LICENSE_FILE" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e MSC_LICENSE_FILE=$MSC_LICENSE_FILE" + fi + if test -n "$LM_LICENSE_FILE" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LM_LICENSE_FILE=$LM_LICENSE_FILE" + fi + export MPIHPSPECIAL="$MPIHPSPECIAL -e MPI_LIC_CHECKER=$MPI_ROOT/bin/licensing/amd64_s8/lichk.x" + RUN_JOB2="$MPI_ROOT/bin/mpirun ${MPIRUNOPTIONS} -prot -f " + RUN_JOB1="$MPI_ROOT/bin/mpirun ${MPIRUNOPTIONS} -prot -w $MPIHPSPECIAL -np " + RUN_JOB0= + fi + if test $MPITYPE = intelmpi + then + INTELMPI_VERSION=HYDRA + FCOMPMPI=mpiifort + MPI_ROOT=$MARC_INTELMPI + DDM="-I${MPI_ROOT}/include -DDDM" + PATH=$MPI_ROOT/bin:$PATH + export PATH + LD_LIBRARY_PATH=$MPI_ROOT/lib:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + if test $INTELMPI_VERSION = HYDRA + then + RUN_JOB1="${MPI_ROOT}/bin/mpiexec.hydra -genvall -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec.hydra -genvall" + else + RUN_JOB1="${MPI_ROOT}/bin/mpiexec -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec -configfile " + fi + RUN_JOB0= + MPI_CLEAN= + MPI_EPATH=$MARC_BIN + MPIR_HOME=$MPI_ROOT + MPICH_F77=$FCOMP + MPICH_F77LINKER=$FCOMP + export MPI_ROOT MPI_EPATH MPIR_HOME MPICH_F77 MPICH_F77LINKER + I_MPI_PIN_DOMAIN=node + export I_MPI_PIN_DOMAIN + fi +else + MPI_ROOT=$MARC_DUMMYMPI + export MPI_ROOT=$MARC_DUMMYMPI + DDM="-I$MPI_ROOT/include" +fi + +# +# variables for the "maintain" script +# + +MACHINENAME=LINUX +MACHINE64BIT=yes +MACHINE=Linux_EM64T +DEV=/dev/tape +GETLOG="whoami" +CLEAR="clear" +MY_UNAME=`uname -a` + +# Edit following 2 lines to build with VKI Solver +#VKISOLVER=VKI +VKISOLVER=NONE + +# Edit following 2 lines to build with CASI Solver +CASISOLVER=CASI +if test "$MARC_CASISOLVER" = "NONE" ; then + CASISOLVER=NONE +fi +#CASISOLVER=NONE + +# Edit following 2 lines to build with MF2 Solver +MF2SOLVER=NONE +#MF2SOLVER=SERIAL +#MF2SOLVER=MF2PARALLEL + +# Edit following lines to build with Intel(c) Multithreaded solver (PARDISO) +#INTELSOLVER=NONE +INTELSOLVER=PARDISO + +# Edit following lines to build with MUMPS +if test "$MARC_INTEGER_SIZE" = "i4" ; then + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +else + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +fi + +# Edit following 2 lines to build MARC dynamic shared library +MARC_DLL=MARC_DLL +MARC_DLL=NONE + +# always set VKISOLVER, CASISOLVER, BCSGPUSOLVER, and MARC_DLL to NONE for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE + MARC_DLL=NONE +fi +if test "$AEM_DLL" -eq 1 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE +fi + +# +# define Fortran and C compile syntax +# +if test "$VKISOLVER" = VKI +then + SOLVERFLAGS="$SOLVERFLAGS -DVKI" +fi + +if test "$CASISOLVER" = CASI +then + SOLVERFLAGS="$SOLVERFLAGS -DCASI" +fi + +if test "$MF2SOLVER" = MF2PARALLEL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2PARALLEL" +fi +if test "$MF2SOLVER" = MF2SERIAL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2SERIAL" +fi + +if test "$INTELSOLVER" = PARDISO +then + SOLVERFLAGS="$SOLVERFLAGS -DPARDISO" +fi + +if test "$MUMPSSOLVER" = MUMPS +then + SOLVERFLAGS="$SOLVERFLAGS -DMUMPS" +fi + + +if test "$MARC_DLL" = MARC_DLL +then + SOLVERFLAGS="$SOLVERFLAGS -DMARC_DLL" +fi + +LINK_OPT= +DEBUG_OPT= +C_DEBUG_OPT= + +#Uncomment following line to build Marc in debuggable mode +MARCDEBUG= +#MARCDEBUG="ON" + +if test "$MARCDEBUG" = "ON" +then + LINK_OPT="-debug -traceback" + DEBUG_OPT="-debug -traceback" + C_DEBUG_OPT="-debug -traceback" +fi + + +MARCCHECK= +#MARCCHECK="ON" +if test "$MARCCHECK" = "ON" +then + DEBUG_OPT="$DEBUG_OPT -fpe0 -fp-stack-check -check all -ftrapuv " + C_DEBUG_OPT="$C_DEBUG_OPT -fp-stack-check -check-uninit -Wformat -ftrapuv " +fi + +MARCCODECOV= +#MARCCODECOV="ON" + +MARCCODEPROF= +#MARCCODEPROF="ON" + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + I8FFLAGS= + I8DEFINES= + I8CDEFINES= +else + I8FFLAGS="-i8" + I8DEFINES="-DI64" + I8CDEFINES="-U_DOUBLE -D_SINGLE" +fi + +MTHREAD=OPENMP +if test "$MARC_OPENMP" = "NONE" ; then + MTHREAD=NONE +fi +#MTHREAD=NONE +if test "$_OEM_NASTRAN" -ne 0 +then +MTHREAD=NONE +fi +if test "$AEM_DLL" -eq 1 +then + MTHREAD=NONE + CASISOLVER=NONE + VKISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + BCSGPUSOLVER=NONE + OPENSSL_LIB= + MARC_DLL=NONE + METISLIBS= +fi + +OMP_COMPAT=NO +OMP_COMPAT=YES +if test "$MTHREAD" = "NONE" +then +OMP_COMPAT=NO +fi + +CDEFINES= +FDEFINES= + +if test "$_OEM_NASTRAN" -ne 0 +then + CDEFINES="$CDEFINES -D_OEM_NASTRAN" + FDEFINES="$FDEFINES -D_OEM_NASTRAN" +fi + +FDEFINES="$FDEFINES -D_IMPLICITNONE" + +if test "$_OEM_NASTRAN" -eq 0 +then + FDEFINES="$FDEFINES -DMKL -DOPENMP" +fi + +if test "$OMP_COMPAT" = "YES" +then + FDEFINES="$FDEFINES -DOMP_COMPAT" +fi + +# -D_MSCMARC +FDEFINES="$FDEFINES -D_MSCMARC $DEBUG_OPT $MARC_SIMUFACT" +CDEFINES="$CDEFINES -D_MSCMARC $C_DEBUG_OPT $I8CDEFINES" + +if test "$AEM_DLL" -eq 1 +then + FDEFINES="$FDEFINES -D_AEMNL -DAAA" + CDEFINES="$CDEFINES -D_AEMNL -DAAA" +fi + +CINCL="-I$MARC_SOURCE/mdsrc -I$MARC_SOURCE/csource $METIS -I$LAPI_IMPORTS/common/include" +if test "$_OEM_NASTRAN" -ne 0 +then + CINCL="$CINCL -I../../include" +fi + +CC_OPT= +if test "$MTHREAD" = "OPENMP" +then + CC_OPT=" $CC_OPT -qopenmp" +fi + +CC="icc -c $CC_OPT -O1 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCLOW="icc -c $CC_OPT -O0 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCHIGH="icc -c $CC_OPT -O3 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + +if test "$MARCDEBUG" = "ON" +then + CC="icc -c $CC_OPT -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCLOW="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCHIGH="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +fi + +LOAD_CC="icc $CC_OPT -O1 -DLinux -DLINUX -DLinux_intel" +CCT="$CC" +CCTLOW="$CCLOW" +CCTHIGH="$CCHIGH" + +#PROFILE="-Mprof=func" +#PROFILE="-Mprof=lines" +#PROFILE="-Mprof=func,mpi" +PROFILE= +#PROFILE="-init=snan,arrays -CB -traceback -fpe0 -fp-stack-check -check all -check uninit -ftrapuv" +if test "$MARCCODECOV" = "ON" +then +PROFILE="-prof-gen=srcpos" +fi +if test "$MARCCODEPROF" = "ON" +then +PROFILE=" $PROFILE -pg" +fi + +FORT_OPT="-c -assume byterecl -safe_cray_ptr -mp1 -WB -fp-model source" +if test "$MTHREAD" = "OPENMP" +then + FORT_OPT=" $FORT_OPT -qopenmp" + if test "$OMP_COMPAT" = "YES" + then + FORT_OPT=" $FORT_OPT -qopenmp-threadprivate=compat" + fi +else +# FORT_OPT=" $FORT_OPT -auto " + FORT_OPT=" $FORT_OPT -save -zero" +fi +if test "$MARCHDF_HDF" = "HDF"; then + FORT_OPT="$FORT_OPT -DMARCHDF_HDF=$MARCHDF_HDF $HDF_INCLUDE" +fi + +FORTLOW="$FCOMP $FORT_OPT $PROFILE -O0 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTRAN="$FCOMP $FORT_OPT $PROFILE -O1 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTNA="$FCOMP $FORT_OPT -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +# for compiling free form f90 files. high opt, integer(4) +FORTF90="$FCOMP -c -O3" + +if test "$MARCDEBUG" = "ON" +then + FORTLOW="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTRAN="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTNA="$FCOMP $FORT_OPT -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +fi + +FORTLOWT="$FORTLOW" +FORTRANT="$FORTRAN" +FORTHIGHT="$FORTHIGH" + +FORTRANMNF="$FCOMP -c $FDEFINES " +CCMNF="icc -c -O1 -DLinux -DLINUX -DLinux_intel -Dport2egcs -I$MARC_SOURCE/marctoadams/mnf/include -D_LARGEFILE64_SOURCE" + +if test $MPITYPE != none +then + if test $MPITYPE = hpmpi + then + LOAD="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + LOADT="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + fi +# Uncomment the following lines to turn on the tracer and commnet out the next 5 lines +# if test $MPITYPE = intelmpi +# then +# INCLUDEMPI="-I$MPI_ROOT/include -I$VT_ROOT/include" +# LOAD="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# LOADT="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# fi + if test $MPITYPE = intelmpi + then + LOAD="ifort $PROFILE $LINK_OPT -o " + LOADT="ifort $PROFILE $LINK_OPT -o " + fi +else + LOAD="$FCOMP $LINK_OPT -o " + LOADT="$FCOMP $LINK_OPT -o " +fi + +if test "$MARC_DLL" = MARC_DLL +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide -lpthread" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + +if test "$AEM_DLL" -eq 1 +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + + +XLIBS="-L/usr/X11/lib -lX11 " + +# +# define archive and ranlib syntax +# + +ARC="ar rvl" +ARD="ar dvl" +ARX="ar xl" +RAN="" + +# +# choose which libraries you want to use ( e.g. blas ) +# + +if test "$VKISOLVER" = VKI +then + VKISOLVERLIBS="$MARC_LIB/vkisolver.a" +else + VKISOLVERLIBS= +fi + +if test "$CASISOLVER" = CASI +then + CASISOLVERLIBS="$CASILIB_DIR/libmarccasi.a $CASILIB_DIR/libcasi.a" +else + CASISOLVERLIBS= +fi + +MF2SOLVERLIBS= +if test "$MF2SOLVER" = MF2PARALLEL +then + MF2SOLVERLIBS="$MARC_LIB/mf2parallel/libseq.a \ + $MARC_LIB/mf2parallel/libsym.a \ + $MARC_LIB/mf2parallel/libmet.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libnum.a \ + $MARC_LIB/mf2parallel/libutl.a \ + $MARC_LIB/mf2parallel/libr8.a \ + $MARC_LIB/mf2parallel/libz.a " +fi + +if test "$MUMPSSOLVER" = MUMPS +then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps.a" + if test $MPITYPE = none + then + MUMPSSOLVERLIBS2= + echo hello > /dev/null + fi + if test $MPITYPE = intelmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a " + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a " + fi + fi + if test $MPITYPE = hpmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_hpmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a" + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a" + fi + fi +else + MUMPSSOLVERLIBS= + MUMPSSOLVERLIBS2= +fi + +if test "$BCSGPUSOLVER" = BCSGPU +then + BCSSOLVERLIBS="${BCSLIB_DIR}/bcsgpulib.a " + MARCCUDALIBS1="-L${BCSLIB_DIR}/cuda_dummy -lmarccuda " + MARCCUDALIBS2="-L${BCSLIB_DIR}/cuda -lmarccuda " + MARCCUDALIBS=$MARCCUDALIBS1 +else + BCSSOLVERLIBS="${MARC_LIB}/bcslib.a " +fi +if test "$AEM_DLL" -eq 1 +then + BCSSOLVERLIBS= +fi + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + MKLLIB="$MARC_MKL/libmkl_scalapack_lp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_lp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +else + MKLLIB="$MARC_MKL/libmkl_scalapack_ilp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_ilp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +fi + +SECLIBS="-L$MARC_LIB -llapi" + +SOLVERLIBS="${BCSSOLVERLIBS} ${VKISOLVERLIBS} ${CASISOLVERLIBS} ${MF2SOLVERLIBS} \ + $MKLLIB -L$MARC_MKL -liomp5 \ + $MARC_LIB/blas_src.a ${ACSI_LIB}/ACSI_MarcLib.a $KDTREE2_LIB/kdtree2.a $HDF_LIBS" + +SOLVERLIBS_DLL=${SOLVERLIBS} +if test "$AEM_DLL" -eq 1 +then +SOLVERLIBS_DLL="$MKLLIB -L$MARC_MKL -liomp5 $MARC_LIB/blas_src.a" +fi +MRCLIBS="$MARC_LIB/clib.a ${CASISOLVERLIBS}" +MRCLIBSPAR="$MARC_LIB/clib.a" +STUBS="$MARC_LIB/stubs.a " +MNFLIBS="$MARC_LIB/libmnf.a" +MDUSER="$MARC_LIB/md_user.a" +if test "X$MARC_SIMUFACT" != "X" +then + SFLIB="-L$SFMATDIR -lMBA_Grain" +else + SFLIB=" " +fi +OPENMP="-qopenmp" + +if test "$AEM_DLL" -eq 1 +then + LOAD_DLL=$LOAD + OPENMP= + LIBMNF= + OPENSSL=NONE +fi + +SYSLIBS=" $OPENMP -lpthread -shared-intel -cxxlib" + +# Uncomment the following lines to turn on the trace and comment out the next 4 lines +# if test $MPITYPE = intelmpi +# then +# SYSLIBS="-L${VT_ROOT}/lib -lVT -ldwarf -lelf -lm -lpthread \ +# -L${MPI_ROOT}/lib64 -lmpi -lmpiif -lmpigi -lrt" +# fi +if test $MPITYPE = intelmpi +then + SYSLIBS="-L${MPI_ROOT}/lib -lmpi_mt -lmpifort -lrt $OPENMP -threads -lpthread -shared-intel -cxxlib" +fi + + +SYSLIBSPAR=" " + +MARC_DLL_CODES="runmarc.f" + + +BLAS_SRC="dzero.f icopy.f izero.f" +if test "$_OEM_NASTRAN" -ne 0 +then + if test "$MARC_INTEGER_SIZE" = "i4" ; then + BLAS_SRC="$BLAS_SRC dsctr.f zsctr.f dzasum.f daxpyi.f zaxpyi.f dgthr.f zgthr.f" + else + BLAS_SRC="ALL" + fi +fi + +LOW_OPT_CODES="are163.f contro.f ndext.f omarc.f omarca.f omarcb.f omarcc.f \ + omars.f fixbc.f triang.f bet049.f norst3.f eldata.f \ + elec*.f elct*.f fmeig.f oada00.f ogeig.f updtrbe2.f cycrota.f \ + cordef.f ogpk.f ogtan.f eldam.f formrbe3.f \ + inertie.f em_sso072.f cn_fol3d_qpatch6.f cosim_begin.f" +if test "$MARC_INTEGER_SIZE" = "i8" ; then + LOW_OPT_CODES="$LOW_OPT_CODES bbcseg.f" +fi + +HIGH_OPT_CODES="dpsmsa1.f dpsmsa2.f dpsmsa3.f dpsmsa4.f dpsmsa5.f dpsmsa6.f \ + dpsmsa7.f dpsmsa8.f dpsmsa9.f dpsmsa10.f dpsmsa11.f dpsmsa12.f \ + dpsmsa13.f dpsmsa14.f dpsmsa15.f dpsmsa16.f dpsmsah.f tpsmsah.f cn_qsort4_11.f \ + prei11.f prei12.f prei31.f prei32.f prei41.f prei42.f prei61.f prei62.f \ + prei1n.f prei2n.f cgfullnts1.f cgfullnts2.f cg1n.f cg2n.f cg3n.f \ + cg4n.f cg5n.f cg6n.f cgnn.f sortab.f sortab1.f triann1.f preinv_nts.f " + + + +MAXNUM=1000000 diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_hmp b/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_hmp new file mode 100644 index 000000000..93bb6fe92 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_hmp @@ -0,0 +1,4108 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + + +# getting user subroutine file name +found=0 +for i in "$@"; do + if test $found = 1; then + DAMASK_USER=$i + found=0 + fi + case $i in + -u* | -U*) + found=1 + ;; + esac +done +# sourcing include_linux64 (needs DAMASK_USER to be set) +. $MARC_INCLUDE + +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usernoext= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_DEFAULT $MPI_OTHER" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + if test ! -f $user + then + error="$error +user subroutine file $user not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" +fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($user)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# +# add DAMASK options for linking + DAMASK="-lstdc++" + + if test "$user" + then + program=$usernoext.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$usernoext.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$usermoext.o + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test $MACHINENAME = "CRAY" + then + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTHIGHMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_hmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTHIGHMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_hmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTHIGHMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + $RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_lmp b/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_lmp new file mode 100644 index 000000000..1d4dbd0c3 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_lmp @@ -0,0 +1,4108 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + + +# getting user subroutine file name +found=0 +for i in "$@"; do + if test $found = 1; then + DAMASK_USER=$i + found=0 + fi + case $i in + -u* | -U*) + found=1 + ;; + esac +done +# sourcing include_linux64 (needs DAMASK_USER to be set) +. $MARC_INCLUDE + +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usernoext= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_DEFAULT $MPI_OTHER" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + if test ! -f $user + then + error="$error +user subroutine file $user not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" +fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($user)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# +# add DAMASK options for linking + DAMASK="-lstdc++" + + if test "$user" + then + program=$usernoext.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$usernoext.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$usermoext.o + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test $MACHINENAME = "CRAY" + then + $DFORTLOWMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTLOWMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_lmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTLOWMP $user || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTLOWMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_lmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTLOWMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTLOWMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + $RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_mp b/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_mp new file mode 100644 index 000000000..36c393444 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/run_damask_mp @@ -0,0 +1,4108 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + + +# getting user subroutine file name +found=0 +for i in "$@"; do + if test $found = 1; then + DAMASK_USER=$i + found=0 + fi + case $i in + -u* | -U*) + found=1 + ;; + esac +done +# sourcing include_linux64 (needs DAMASK_USER to be set) +. $MARC_INCLUDE + +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usernoext= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_DEFAULT $MPI_OTHER" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + if test ! -f $user + then + error="$error +user subroutine file $user not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" +fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($user)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# +# add DAMASK options for linking + DAMASK="-lstdc++" + + if test "$user" + then + program=$usernoext.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$usernoext.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$usermoext.o + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test $MACHINENAME = "CRAY" + then + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTRANMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_mp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTRANMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_mp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTRANMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + $RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2019.1/Marc_tools/run_marc.original b/installation/mods_MarcMentat/2019.1/Marc_tools/run_marc.original new file mode 100644 index 000000000..c0bf00643 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Marc_tools/run_marc.original @@ -0,0 +1,4186 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + +. $MARC_INCLUDE +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usersubname= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_DEFAULT $MPI_OTHER" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user + basefile=`$BASENAME $value` + if test ${basefile##*.} = f + then + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user.f + elif test ${basefile##*.} = F + then + user=`dirname $value`/`$BASENAME $value .F` + usersubname=$user.F + elif test ${basefile##*.} = f90 + then + user=`dirname $value`/`$BASENAME $value .f90` + usersubname=$user.f90 + elif test ${basefile##*.} = F90 + then + user=`dirname $value`/`$BASENAME $value .F90` + usersubname=$user.F90 + fi + case $user in + \/*) + ;; + *) + user=`pwd`/$user + usersubname=`pwd`/$usersubname + ;; + esac + if test ! -f $usersubname + then + if test -f $usersubname.f + then + usersubname=$usersubname.f + elif test -f $usersubname.F + then + usersubname=$usersubname.F + elif test -f $usersubname.f90 + then + usersubname=$usersubname.f90 + elif test -f $usersubname.F90 + then + usersubname=$usersubname.F90 + fi + fi + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$usersubname" + then + if test ! -f $usersubname + then + error="$error +user subroutine file $usersubname not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" + fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $usersubname +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $usersubname +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($usersubname)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user + basefile=`$BASENAME $value` + if test ${basefile##*.} = f + then + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user.f + elif test ${basefile##*.} = F + then + user=`dirname $value`/`$BASENAME $value .F` + usersubname=$user.F + elif test ${basefile##*.} = f90 + then + user=`dirname $value`/`$BASENAME $value .f90` + usersubname=$user.f90 + elif test ${basefile##*.} = F90 + then + user=`dirname $value`/`$BASENAME $value .F90` + usersubname=$user.F90 + fi + case $user in + \/*) + ;; + *) + user=`pwd`/$user + usersubname=`pwd`/$usersubname + ;; + esac + if test ! -f $usersubname + then + if test -f $usersubname.f + then + usersubname=$usersubname.f + elif test -f $usersubname.F + then + usersubname=$usersubname.F + elif test -f $usersubname.f90 + then + usersubname=$usersubname.f90 + elif test -f $usersubname.F90 + then + usersubname=$usersubname.F90 + fi + fi + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# + + if test "$user" + then +# program=$user.marc + program=$DIRJOB/`$BASENAME $user .f`.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$DIRJOB/`$BASENAME $user .f`.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$DIRJOB/`$BASENAME $user .f`.o + basefile=`$BASENAME $usersubname` + if test ${basefile##*.} = f + then + usersub=$DIRJOB/`$BASENAME $user .f`.F + ln -sf "$user.f" "$usersub" + else + usersub=$usersubname + fi + + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test ${basefile##*.} = f + then + ln -sf "$user.f" "$usersub" + fi + if test $MACHINENAME = "CRAY" + then + $FORTRAN $usersub || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $FORTRAN $usersub -o $userobj || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + if test ${basefile##*.} = f + then + /bin/rm -f "$usersub" + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=`basename $usersubname .f` + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user.f $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_user $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user.f on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser.f 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user.f on host `hostname`" + fi + userobj=$DIRJOB/`$BASENAME $user .f`.o + basefile=`$BASENAME $usersubname` + if test ${basefile##*.} = f + then + usersub=$DIRJOB/`$BASENAME $user .f`.F + ln -sf "$user.f" "$usersub" + else + usersub=$usersubname + fi + if test $MACHINENAME = "CRAY" + then + $FORTRAN $usersub || \ + { + echo "$0: compile failed for $user.f" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $FORTRAN $usersub -o $userobj || \ + { + echo "$0: compile failed for $user.f" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + if test ${basefile##*.} = f + then + /bin/rm -f "$usersub" + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi + fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=`basename $usersubname .f` + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user.f $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_user $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user.f on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser.f 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user.f on host `hostname`" + fi + userobj=$DIRJOB/`$BASENAME $user .f`.o + basefile=`$BASENAME $usersubname` + if test ${basefile##*.} = f + then + usersub=$DIRJOB/`$BASENAME $user .f`.F + ln -sf "$user.f" "$usersub" + else + usersub=$usersubname + fi + if test $MACHINENAME = "CRAY" + then + $FORTRAN $usersub || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $FORTRAN $usersub -o $userobj || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + if test ${basefile##*.} = f + then + /bin/rm -f "$usersub" + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null + +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + +$RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi + fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=`basename $usersubname .f` + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/edit_window b/installation/mods_MarcMentat/2019.1/Mentat_bin/edit_window new file mode 100644 index 000000000..b732a7694 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/edit_window @@ -0,0 +1,5 @@ +#!/bin/sh +# This script opens a window running an editor. +# The command to invoke the editor is specified during DAMASK installation + +%EDITOR% $* \ No newline at end of file diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/edit_window.original b/installation/mods_MarcMentat/2019.1/Mentat_bin/edit_window.original new file mode 100644 index 000000000..64c0a68d0 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/edit_window.original @@ -0,0 +1,18 @@ +#!/bin/sh +# This script opens a window running an editor. The default window is an +# xterm, and the default editor is vi. These may be customized. + +dir= +for d in /usr/bin /usr/bin/X11; do + if test -x "$d/xterm"; then + dir="$d" + break + fi +done + +if test -z "$dir"; then + echo "$0: Could not find xterm" + exit 1 +fi + +"$dir/xterm" -T "vi $*" -n "vi $*" -e vi $* diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/kill1.original b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill1.original new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill1.original @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/kill4 b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill4 new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill4 @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/kill5 b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill5 new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill5 @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/kill6 b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill6 new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/kill6 @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/submit1.original b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit1.original new file mode 100644 index 000000000..8007af076 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit1.original @@ -0,0 +1,189 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=/tmp/msc/marc2019.1 +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" == "marc" ]; then + slv="" +fi +if [ "$slv" == "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_marc" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/submit4 b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit4 new file mode 100644 index 000000000..55e3bcf03 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit4 @@ -0,0 +1,191 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=%INSTALLDIR%/marc%VERSION% + +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" = "marc" ]; then + slv="" +fi +if [ "$slv" = "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile=${srcfile%.*}".marc" + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_damask_hmp" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/submit5 b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit5 new file mode 100644 index 000000000..8699cf076 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit5 @@ -0,0 +1,191 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=%INSTALLDIR%/marc%VERSION% + +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" = "marc" ]; then + slv="" +fi +if [ "$slv" = "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile=${srcfile%.*}".marc" + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_damask_mp" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2019.1/Mentat_bin/submit6 b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit6 new file mode 100644 index 000000000..a0179482f --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_bin/submit6 @@ -0,0 +1,191 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=%INSTALLDIR%/marc%VERSION% + +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" = "marc" ]; then + slv="" +fi +if [ "$slv" = "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile=${srcfile%.*}".marc" + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_damask_lmp" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2019.1/Mentat_menus/job_run.ms b/installation/mods_MarcMentat/2019.1/Mentat_menus/job_run.ms new file mode 100644 index 000000000..5a6d6b1a8 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_menus/job_run.ms @@ -0,0 +1,2750 @@ +#ifndef AUTOFORGE +popmenu job_title_pm file jobs.ms +popdown job_title_ok file jobs.ms + +group user_domains_gr file domain_decomposition.ms +group user_domains_generate_gr file domain_decomposition.ms +group user_domains_tail_gr file domain_decomposition.ms +group matrix_solver_gr file job_common.ms +popmenu ddm_options file job_common.ms + +browser edit_browser file file.ms +browser directory_browser file file.ms +screen domains file domain_decomposition.ms + + + + browser usersub_file_browser { + position 0 0 + size 82 72 + text "$usersub_file_browser_label" ($usersub_file_browser_label) + filter "*.f *.F *.f90 *.F90" + nvisible 10 + select_files true + cancel_action popdown + ok_action popdown + command "$usersub_file_browser_command" ($usersub_file_browser_command) + } + + + + browser host_file_browser { + position 0 0 + size 82 72 + text "$host_file_browser_label" ($host_file_browser_label) + filter "*" + nvisible 10 + select_files true + cancel_action popdown + ok_action popdown + command "$host_file_browser_command" ($host_file_browser_command) + } + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_popmenu { + + text "RUN JOB" + + group { + + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + button { + position 1 9 + size 24 4 + text "USER SUBROUTINE FILE" + browser usersub_file_browser + settext $usersub_file_browser_label "SELECT USER SUBROUTINE FILE" + set $usersub_file_browser_command "*job_usersub_file" + help job_usersub_file + } + + toggle { + position +26 = + size 22 4 + text "SELECTED USER SUBS" + toggle job_usersubs + help job_run_seluser + visible job_usersubs + popmenu job_usersub_pm + } + + display { + position 1 +4 + size 50 4 + display job_usersub_file + } + + button { + position 1 +4 + size 12 4 + text "EDIT" + command "*job_edit_usersub_file" + visible job_usersub_file + } + + button { + position +12 = + size 12 4 + text "CLEAR" + command "*job_clear_usersub_file" + visible job_usersub_file + } + + roller { + position +12 = + size 26 4 + nvalues 3 + texts "COMPILE / NO SAVE" + "COMPILE AND SAVE" + "RUN SAVED EXECUTABLE" + help job_run_compile + roller "job_option user_source" + visible job_usersub_file + commands "*job_option user_source:compile_nosave" + "*job_option user_source:compile_save" + "*job_option user_source:run_saved" + } + + button { + position 1 +6 + size 24 4 + text "SOLVER/PARALLELIZATION" + help job_run_parallel + popmenu job_run_parallelization_pm + set $popname2 "job_run_parallelization_pm" + } + frame { + position 1 +4 + size 48 16 + border_width 1 + border_color black + + group{ + layout hbox + frame { + position 0 0 + size 24 16 + group { + layout vbox + + display { + position 0 0 + size 24 4 + display job_solver_solution + } + + display { + position = +4 + size 24 4 + display job_solver_type + } + spacer { + stretch 1 + } + + } + } + + frame { + position +22 = + size 24 16 + border_width 1 + border_color black + + group { + #layout vbox + display { + position = +4 + size 24 4 + display job_ddm_domains + } + + display { + position = +4 + size 24 4 + display job_assem_recov_nthreads + } + + display { + position = +4 + size 24 4 + display job_solver_procs + visible solver_allows_multi_procs + } + + display { + position = = + size 24 4 + display job_solver_threads + visible "and(solver_allows_multi_threads,\ + not(and(job_solver_mfront_sparse,\ + *job_option parallel:on)))" + } + + display { + position = +4 + size 24 4 + display job_solver_gpu + visible "and(job_solver_mfront_sparse,job_nonsym_off)" + } + } + } + } + } + + button { + position 1 +18 + size 8 4 + text "TITLE" + popmenu job_title_pm + command "*job_title" + } + +# see also job_common.ms +# see also the ADVANCED JOB SUBMISSION popmenu in this file + + label { + position +10 = + size 7 4 + text "STYLE" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help job_option_input_style + } + + button { + position +20 = + size 13 4 + text "SAVE MODEL" + command "*save_model" + } + + button { + position 1 +6 + size 16 6 + text "SUBMIT (1)" + command "*submit_job 1 *monitor_job" + } + + button { + position +16 = + size 16 6 + text "ADVANCED JOB SUBMISSION" + popmenu job_submit_adv_pm + } + + button { + position +16 = + size 18 6 + text "DAMASK" + popmenu damask + } + + button { + position 1 +6 + size 16 6 + text "UPDATE" + command "*update_job" + } + + button { + position +16 = + size 16 6 + text "MONITOR" + command "*monitor_job" + } + + button { + position +16 = + size 18 6 + text "KILL" + command "*kill_job *monitor_job" + } + + label { + position 1 +7 + size 32 4 + text "STATUS" + border_width 1 + border_color black + } + + display { + position +32 = + size 18 4 + display "job_status" + } + + label { + position -32 +4 + size 32 4 + text "CURRENT INCREMENT (CYCLE)" + border_width 1 + border_color black + } + + display { + position +32 = + size 18 4 + display "job_increment" + } + + label { + position -32 +4 + size 32 4 + text "SINGULARITY RATIO" + border_width 1 + border_color black + } + + float { + position +32 = + size 18 4 + display "job_singularity_ratio" + } + + label { + position -32 +4 + size 32 4 + text "CONVERGENCE RATIO" + border_width 1 + border_color black + } + + float { + position +32 = + size 18 4 + display "job_convergence_ratio" + } + + label { + position 1 +4 + size 32 4 + text "ANALYSIS TIME" + border_width 1 + border_color black + } + + float { + position +32 = + size 18 4 + display "job_analysis_time" + } + + label { + position -32 +4 + size 32 4 + text "WALL TIME" + border_width 1 + border_color black + } + + display { + position +32 = + size 18 4 + display "job_time" + } + + frame { + position 1 +4 + size 50 8 + + group { + + frame { + position 0 0 + size 50 8 + text "TOTAL" + border_width 1 + border_color black + group { + + label { + position +6 = + size 13 4 + text "CYCLES" + border_width 1 + border_color black + } + + integer { + position +13 = + size 10 4 + display "acc_job_cycles" + border_width 1 + border_color black + } + + label { + position -13 +4 + size 13 4 + text "SEPARATIONS" + border_width 1 + border_color black + } + + integer { + position +13 = + size 10 4 + display "acc_job_separations" + border_width 1 + border_color black + } + + label { + position +10 -4 + size 11 4 + text "CUT BACKS" + border_width 1 + border_color black + } + + integer { + position +11 = + size 10 4 + display "acc_job_cut_backs" + border_width 1 + border_color black + } + + label { + position -11 +4 + size 11 4 + text "REMESHES" + border_width 1 + border_color black + } + + integer { + position +11 = + size 10 4 + display "acc_job_remeshes" + border_width 1 + border_color black + } + } + } + } + } + + label { + position 1 +8 + size 19 4 + text "EXIT NUMBER" + border_width 1 + border_color black + } + + integer { + position +19 = + size 10 4 + display "job_exit" + } + + button { + position +10 = + size 21 4 + text "EXIT MESSAGE" + popmenu job_exit_msg_pm + help exit_message + } + + label { + position 1 +6 + size 7 4 + text "EDIT" + border_width 1 + border_color black + } + + button { + position +7 = + size 12 4 + text "OUTPUT FILE" + command "*job_edit_output" + } + + button { + position +12 = + size 9 4 + text "LOG FILE" + command "*job_edit_log_file" + } + + button { + position +9 = + size 12 4 + text "STATUS FILE" + command "*job_edit_status_file" + } + + button { + position +12 = + size 10 4 + text "ANY FILE" + settext $edit_browser_label "EDIT FILE" + set $edit_browser_command "*edit_file" + browser edit_browser + help edit_file + } + + popdown { + position 1 +6 + size 32 4 + text "OPEN POST FILE (MODEL PLOT RESULTS MENU)" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_default" + } + + button { + position 1 +6 + size 12 8 + text "RESET" + command "*job_submit_reset" + } + + popdown { + position +38 = + size 12 8 + text "OK" + } + } + + window job_run_wi { + parent mentat + origin 35 1 + size 52 115 + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_usersub_pm { + + text "CURRENTLY SELECTED USER SUBROUTINES" + + group { + + + display { + position 1 +5 + size 64 86 + display "job_usersubs" + } + + popdown { + position 27 +88 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 66 102 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_submit_adv_pm { + + text "ADVANCED JOB SUBMISSION" + + group { + + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + label { + position 1 9 + size 19 4 + text "INITIAL ALLOCATION" + border_width 1 + border_color black + } + label { + position +19 = + size 15 4 + text "GENERAL MEMORY" + help job_param_general_init_allocation + } + text { + position +15 = + size 10 4 + display "job_param_value_general_init_allocation" + command "*job_param general_init_allocation" + help job_param_general_init_allocation + } + + label { + position +10 = + size 4 4 + text "MB" + border_width 1 + border_color black + } + + toggle { + position 1 +5 + size 32 4 + text "OUT-OF-CORE ELEMENT STORAGE" + help job_param_elsto + toggle "*job_option elsto:on" + true_command "*job_option elsto:on" + false_command "*job_option elsto:off" + } + + toggle { + position 1 +4 + size 32 4 + text "OUT-OF-CORE INCREMENTAL BACKUP" + help job_param_inc_backup_storage + toggle "*job_option inc_backup_storage:out_of_core" + true_command "*job_option inc_backup_storage:out_of_core" + false_command "*job_option inc_backup_storage:in_core" + } + + toggle { + position +34 = + size 14 4 + text "CHECK SIZES" + help job_run_check + toggle "*job_option check:on" + true_command "*job_option check:on" + false_command "*job_option check:off" + } + + frame { + position 1 +6 + size 48 12 + text "MARC INPUT FILE" + border_width 1 + border_color black + + group { + + label { + position 0 4 + size 9 4 + text "VERSION" + border_width 1 + border_color black + } + + roller { + position +9 = + size 14 4 + nvalues 28 + nvisible 28 + texts "DEFAULT" +#if 0 + "2019.1" +#endif + "2019" + "2018.1" + "2018" + "2017.1" + "2017" + "2016" + "2015" + "2014.2" + "2014.1" + "2014" + "2013.1" + "2013" + "2012" + "2011" + "2010.2" + "2010" + "2008" + "2007" + "2005R3" + "2005" + "2003" + "2001" + "2000" +#if 0 + "8" +#endif + "K7" + "K6.2" + "K5" + "K4" + help job_param_version + rollers "job_input_version_default" +#if 0 + "job_input_version_2019.1" +#endif + "job_input_version_2019" + "job_input_version_2018.1" + "job_input_version_2018" + "job_input_version_2017.1" + "job_input_version_2017" + "job_input_version_2016" + "job_input_version_2015" + "job_input_version_2014.2" + "job_input_version_2014.1" + "job_input_version_2014" + "job_input_version_2013.1" + "job_input_version_2013" + "job_input_version_2012" + "job_input_version_2011" + "job_input_version_2010.2" + "job_input_version_2010" + "job_input_version_2008" + "job_input_version_2007" + "job_input_version_2005r3" + "job_input_version_2005" + "job_input_version_2003" + "job_input_version_2001" + "job_input_version_2000" +#if 0 + "job_input_version_8" +#endif + "job_input_version_k7" + "job_input_version_k6" + "job_input_version_k5" + "job_input_version_k4" + commands "*job_option version:default" +#if 0 + "*job_option version:2019.1" +#endif + "*job_option version:2019" + "*job_option version:2018.1" + "*job_option version:2018" + "*job_option version:2017.1" + "*job_option version:2017" + "*job_option version:2016" + "*job_option version:2015" + "*job_option version:2014.2" + "*job_option version:2014.1" + "*job_option version:2014" + "*job_option version:2013.1" + "*job_option version:2013" + "*job_option version:2012" + "*job_option version:2011" + "*job_option version:2010.2" + "*job_option version:2010" + "*job_option version:2008" + "*job_option version:2007" + "*job_option version:2005r3" + "*job_option version:2005" + "*job_option version:2003" + "*job_option version:2001" + "*job_option version:2000" +#if 0 + "*job_option version:8" +#endif + "*job_option version:k7" + "*job_option version:k6" + "*job_option version:k5" + "*job_option version:k4" + visibles "job_allows_input_version_default" +#if 0 + "job_allows_input_version_2019.1" +#endif + "job_allows_input_version_2019" + "job_allows_input_version_2018.1" + "job_allows_input_version_2018" + "job_allows_input_version_2017.1" + "job_allows_input_version_2017" + "job_allows_input_version_2016" + "job_allows_input_version_2015" + "job_allows_input_version_2014.2" + "job_allows_input_version_2014.1" + "job_allows_input_version_2014" + "job_allows_input_version_2013.1" + "job_allows_input_version_2013" + "job_allows_input_version_2012" + "job_allows_input_version_2011" + "job_allows_input_version_2010.2" + "job_allows_input_version_2010" + "job_allows_input_version_2008" + "job_allows_input_version_2007" + "job_allows_input_version_2005r3" + "job_allows_input_version_2005" + "job_allows_input_version_2003" + "job_allows_input_version_2001" + "job_allows_input_version_2000" +#if 0 + "job_allows_input_version_8" +#endif + "job_allows_input_version_k7" + "job_allows_input_version_k6" + "job_allows_input_version_k5" + "job_allows_input_version_k4" + } + +# see also job_common.ms +# see also the RUN JOB popmenu in this file + + label { + position +14 = + size 7 4 + text "STYLE" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help job_option_input_style + } + + toggle { + position 0 +4 + size 24 4 + text "EXTENDED PRECISION" + help job_run_precision + toggle "*job_option inp_file_prec:extended" + true_command "*job_option inp_file_prec:extended" + false_command "*job_option inp_file_prec:normal" + } + toggle { + position +24 = + size 24 4 + text "INCLUDE UNUSED TABLES" + toggle "*job_option input_file_tables:all" + true_command "*job_option input_file_tables:all" + false_command "*job_option input_file_tables:used" + } + } + } + + button { + position 1 +14 + size 24 4 + text "SCRATCH DIRECTORY" + settext $directory_browser_label "JOB SCRATCH DIRECTORY" + set $directory_browser_command "*job_scratch_directory" + browser directory_browser + help job_scratch_directory + } + + button { + position +24 = + size 24 4 + text "CLEAR" + command "*job_clear_scratch_directory" + visible job_scratch_directory + } + + text { + position 1 +4 + size 48 4 + display job_scratch_dir + command "*job_scratch_directory" + } + +#ifdef DCOM + toggle { + position 1 +6 + size 8 4 + text "\{DCOM}" + toggle "*job_option dcom:on" + help job_run_dcom + true_command "*job_option dcom:on" + false_command "*job_option dcom:off" + visible win32_available + } + + button { + position +8 = + size 12 4 + text "HOSTNAME" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } + + text job_dcom_hostname { + position +12 = + size 28 4 + display "job_dcom_hostname" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } +#endif + + button { + position 1 +6 + size 24 4 + text "TITLE" + popmenu job_title_pm + command "*job_title" + } + + button { + position +24 = + size 24 4 + text "SAVE MODEL" + command "*save_model" + } + + button { + position +4 +6 + size 20 4 + text "WRITE INPUT FILE" + command "*job_write_input" + } + + button { + position = +4 + size 20 4 + text "EDIT INPUT FILE" + command "*job_edit_input" + } + + popdown { + position 1 +5 + size 20 6 + text "SUBMIT 1" + command "*submit_job 1 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 1" + command "*execute_job 1 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 2" + command "*submit_job 2 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 2" + command "*execute_job 2 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 3" + command "*submit_job 3 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 3" + command "*execute_job 3 *monitor_job" + } + + popdown { + position 19 +8 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 +#ifdef DCOM + size 50 100 +#else + size 50 94 +#endif + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + +#-------------------------------------------------------------------------------------------------- +popmenu damask { + +#ifdef QT_MENTAT + text "DAMASK.MPIE.DE" +#endif + + group { +#ifndef QT_MENTAT + label { + position 0 0 + size 50 4 + text "DAMASK.MPIE.DE" + } +#endif + + label { + position 1 6 + size 13 6 + text "Optimzation" + border_width 1 + border_color black + } + + label { + position +13 = + size 20 6 + text "write Input" + border_width 1 + border_color black + } + + label { + position +18 = + size 30 6 + text "do not write Inp." + border_width 1 + border_color black + } + + label { + position -32 +6 + size 12 6 + text "O2 / OpenMP" + border_width 1 + border_color black + } + + popdown { + position +12 = + size 20 6 + text "Submit" + command "*submit_job 4 *monitor_job" + } + + popdown { + position +20 = + size 20 6 + text "Execute" + command "*execute_job 4 *monitor_job" + } + + label { + position -32 +6 + size 12 6 + text "O1 / OpenMP" + border_width 1 + border_color black + } + + popdown { + position +12 = + size 20 6 + text "Submit" + command "*submit_job 5 *monitor_job" + } + + popdown { + position +20 = + size 20 6 + text "Execute" + command "*execute_job 5 *monitor_job" + } + + label { + position -32 +6 + size 12 6 + text "O0 / OpenMP" + border_width 1 + border_color black + } + + popdown { + position +12 = + size 20 6 + text "Submit" + command "*submit_job 6 *monitor_job" + } + + popdown { + position +20 = + size 20 6 + text "Execute" + command "*execute_job 6 *monitor_job" + } + + popdown { + position 19 +8 + size 12 8 + text "CANCEL" + } +} + + window { + parent mentat + origin 38 8 +#ifdef DCOM + size 50 100 +#else + size 50 94 +#endif + background_color body + border_width 1 + border_color border + buffering single + } + mode permanent +} + +#-------------------------------------------------------------------------------------------------- +popmenu job_exit_msg_pm { + + text "EXIT MESSAGE" + + group { + + + + text { + position 1 5 + size 84 74 + multiline + readonly + display "job_exit_msg" + } + + popdown { + position 37 +76 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 86 90 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_parallelization_pm { + + text "SOLVER/PARALLELIZATION" + + group { + layout vbox + frame { + position 0 0 + size 42 8 + group { + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 36 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 36 4 + display job_class_label + } + } + } + frame { + position 0 8 + size 42 20 + group job_ddm_gr + text "DOMAIN DECOMPOSITION" + border_width 1 + border_color black + } + + frame { + position 0 +20 + size 42 13 + group job_assem_recov_gr + text "ASSEMBLY AND RECOVERY" + border_width 1 + border_color black + } + + frame { + position 0 +14 + size 42 31 + group job_parallel_matrix_solver_gr + text "MATRIX SOLVER" + border_width 1 + border_color black + } + + frame { + position 0 +32 + size 42 28 + group job_parallel_env_gr + text "PARALLELIZATION ENVIRONMENT" + border_width 1 + border_color black + visible "or(*job_option parallel:on, \ + solver_multi_procs)" + } + frame { + position 15 +30 + size 42 8 + group { + layout hbox + + spacer { + stretch 1 + } + popdown { + position 15 0 + size 12 8 + text "OK" + } + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + stretch 1 + } + } + + window { + parent mentat + origin 38 1 + size 60 119 + background_color body + border_width 1 + border_color border + buffering single + } + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_gr { + + toggle { + position 1 4 + size 42 4 + text "USE \{DDM}" + toggle "*job_option parallel:on" + help job_run_ddm_use + true_command "*job_option parallel:on" + false_command "*job_option parallel:off" + active "and(not(job_solver_it_ext),\ + not(job_solver_mixed_direct_iterative))" + } + + frame { + position = +5 + size 42 4 + group job_ddm_use_gr + visible "*job_option parallel:on" + } +} + +group job_ddm_use_gr { + layout vbox + frame{ + position 0 0 + size 30 4 + group { + layout hbox + label { + position 0 0 + size 12 4 + text "DECOMPOSITION IN" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MARC" + oneonly "*job_option ddm_generator:fea_solver" + command "*job_option ddm_generator:fea_solver" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MENTAT" + oneonly "*job_option ddm_generator:preprocessor" + command "*job_option ddm_generator:preprocessor" + help job_run_ddm_generator + } + } + } + + frame { + position 0 +5 + size 44 8 + group job_ddm_fea_solver_gr + visible "*job_option ddm_generator:fea_solver" + } + + frame { + position = = + size 44 8 + group job_ddm_preprocessor_gr + visible "*job_option ddm_generator:preprocessor" + } + + frame{ + position 0 +5 + size 40 4 + group{ + layout hbox + text { + position 0 0 + size 22 4 + text "Single Input File" + readonly + visible "*job_option ddm_generator:fea_solver" + } + + roller { + position = = + size 22 4 + nvalues 2 + texts "MULTIPLE INPUT FILES" + "SINGLE INPUT FILE" + roller "job_option ddm_single_input" + commands "*job_option ddm_single_input:off" + "*job_option ddm_single_input:on" + visible "*job_option ddm_generator:preprocessor" + help job_run_ddm_single_input + } + + roller { + position +23 = + size 21 4 + nvalues 2 + texts "MULTIPLE POST FILES" + "SINGLE POST FILE" + roller "job_option ddm_single_post" + commands "*job_option ddm_single_post:off" + "*job_option ddm_single_post:on" + help job_run_ddm_single_post + } + } + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_fea_solver_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + help job_param + } + + text { + position +10 = + size 4 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + label { + position 0 +4 + size 7 4 + text "METHOD" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "REC. COORD. BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + button { + position +18 = + size 12 4 + text "ADV. SETTINGS" + popmenu job_ddm_fea_solver_pm + } +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_ddm_fea_solver_pm { + + text "JOB PARALLELIZATION" + + group { + units 32 120 + + + label { + position 0 5 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + frame { + + position 0 +9 + size 32 76 + text "ADVANCED DECOMPOSITION IN MARC" + border_width 1 + border_color black + + group { + + label { + position 1 4 + size 16 4 + text "# DOMAINS" + help job_param + } + + text { + position +16 = + size 14 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + label { + position 1 +4 + size 7 4 + text "METHOD" + border_width 1 + border_color black + } + + roller { + position +7 = + size 23 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "REC. COORD. BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + frame { + position 1 +5 + size 30 20 + group job_ddm_direction_gr + visible "or(*job_option ddm_method:vector, \ + *job_option ddm_method:radial, \ + *job_option ddm_method:angular)" + } + + toggle { + position 1 +21 + size 30 4 + text "DOMAIN ISLAND REMOVAL" + toggle "*job_option ddm_island_removal:on" + true_command "*job_option ddm_island_removal:on" + false_command "*job_option ddm_island_removal:off" + } + + label { + position 1 +4 + size 15 4 + border_width 1 + border_color black + text "GRAPH" + } + + roller { + position +15 = + size 15 4 + nvalues 2 + texts "COARSE" + "FINE" + help ddm_decomp_coarse_graph + rollers "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + commands "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + } + + label { + position 1 +4 + size 15 4 + border_width 1 + border_color black + text "QUADRATIC ELEMENTS" + } + + roller { + position +15 = + size 15 4 + nvalues 2 + texts "GENUINE" + "LINEARIZED" + help job_run_ddm_decomp_linearized + rollers "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + commands "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + } + + label { + position 1 +5 + size 15 4 + text "ELEMENT WEIGHT FACTOR" + help job_param + } + + text { + position +15 = + size 15 4 + display "job_param_value_ddm_elem_weight_factor" + command "*job_param ddm_elem_weight_factor" + help job_run_ddm_decomp_element_weight_factor + } + + toggle { + position 1 +5 + size 30 4 + text "DETECT CONTACT" + toggle "*job_option ddm_detect_contact:on" + true_command "*job_option ddm_detect_contact:on" + false_command "*job_option ddm_detect_contact:off" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + help job_run_ddm_decomp_detect_contact + } + + label { + position = +5 + size 15 4 + text "CONTACT TOLERANCE" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +15 = + size 15 4 + command "*set_ddm_contact_tolerance" + display "job_param_value_ddm_contact_tolerance" + command "*job_param ddm_contact_tolerance" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_tolerance + } + + label { + position -15 +4 + size 15 4 + text "CONTACT CONSTR FACTOR" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +15 = + size 15 4 + display "job_param_value_ddm_contact_constr_factor" + command "*job_param ddm_contact_constr_factor" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_constraint_factor + } + } + } + + popdown { + position 0 +77 + size 32 8 + text "OK" + } + } + mode permanent +} # job_ddm_fea_solver_pm + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_direction_gr { + + button { + position 0 0 + size 15 4 + text "DIRECTION" + command "*job_vector ddm_sort_direction_x" + visible "*job_option ddm_method:vector" + } + + button { + position = = + size 15 4 + text "DIRECTION" + command "*job_vector ddm_sort_direction_x" + visible "not(*job_option ddm_method:vector)" + } + + button { + position +15 = + size 15 4 + text "FROM / TO" + command "*job_vector_from_to ddm_sort_direction_x" + } + + text { + position -15 +4 + size 10 4 + command "*job_param ddm_sort_direction_x" + display "job_param_value_ddm_sort_direction_x" + help ddm_job_decomp_user_direction_x + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_direction_y" + display "job_param_value_ddm_sort_direction_y" + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_direction_z" + display "job_param_value_ddm_sort_direction_z" + } + + frame { + position 0 +4 + size 30 8 + group job_ddm_sort_point_gr + visible "not(*job_option ddm_method:vector)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_sort_point_gr { + + label { + position 0 0 + size 14 4 + border_width 1 + border_color black + text "POINT ON AXIS" + } + + roller { + position +14 = + size 10 4 + nvalues 2 + texts "DEFAULT" + "USER" + roller "job_option ddm_sort_point" + commands "*job_option ddm_sort_point:default" + "*job_option ddm_sort_point:user" + } + + button { + position +10 = + size 6 4 + text "SET" + command "*job_position ddm_sort_point_x" + visible "*job_option ddm_sort_point:user" + } + + text { + position 0 +4 + size 10 4 + command "*job_param ddm_sort_point_x" + display "job_param_value_ddm_sort_point_x" + visible "*job_option ddm_sort_point:user" + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_point_y" + display "job_param_value_ddm_sort_point_y" + visible "*job_option ddm_sort_point:user" + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_point_z" + display "job_param_value_ddm_sort_point_z" + visible "*job_option ddm_sort_point:user" + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_preprocessor_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + border_width 1 + border_color black + } + + integer { + position +10 = + size 4 4 + display valid_domains + } + + button { + position 0 +4 + size 30 4 + text "USER DOMAINS" + popmenu domains_pm + help job_run_ddm_user_domains + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_assem_recov_gr { + + toggle { + position 1 +4 + size 30 4 + text "MULTIPLE THREADS" + true_command "*job_option assem_recov_multi_threading:on" + false_command "*job_option assem_recov_multi_threading:off" + toggle "*job_option assem_recov_multi_threading:on" + } + + label { + position = +4 + size 12 4 + text "# THREADS" + visible "*job_option assem_recov_multi_threading:on" + } + + text { + position +12 = + size 4 4 + display "job_param_value_assem_recov_nthreads" + command "*job_param assem_recov_nthreads" + visible "*job_option assem_recov_multi_threading:on" + } + + label { + position +4 = + size 10 4 + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + } + + display { + position +12 = + size 4 4 + display "job_assem_recov_nthreads_dom" + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + } + spacer{ + stretch 2 + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_matrix_solver_gr { + layout vbox + frame { + position 1 0 + size 36 31 + group { + layout hbox + label { + position 3 4 + size 12 4 + text "SOLUTION" + border_width 1 + border_color black + } + oneonly { + position +12 = + size 12 4 + text "SYMMETRIC" + help job_param_solver_method + oneonly "job_nonsym_off" + command "*job_option solver_nonsym:off" + } + oneonly { + position +12 = + size 12 4 + text "NONSYMMETRIC" + help job_param_solver_method + oneonly "job_nonsym_on" + command "*job_option solver_nonsym:on" + } + spacer { + stretch 1 + } + } + } + + frame { + position 1 +5 + size 42 23 + group matrix_solver_gr + help job_param_solver + } + + frame { + position +1 = + size 42 4 + group job_run_solver_ddm_opts_gr + visible "*job_option parallel:on" + } + + frame { + position 1 +23 + size 42 8 + group job_solver_multi_procs_gr + visible solver_allows_multi_procs + } + + frame { + position = = + size 42 8 + group job_solver_multi_threads_gr + visible solver_allows_multi_threads + } + + frame { + position 1 +9 + size 42 8 + group job_solver_gpu_gr + visible "and(job_solver_mfront_sparse,job_nonsym_off)" + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_run_solver_ddm_opts_gr { + + button { + position 0 0 + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options +# see also job_common.ms! + visible "not(or(job_solver_it_sparse, \ + job_solver_it_ext, \ + job_solver_mixed_direct_iterative, \ + job_solver_pardiso,\ + job_solver_mumps))" + } + button { + position = = + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options_mumps + visible "job_solver_mumps" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_gr { + frame { + position 0 0 + size 42 8 + group job_solver_multi_procs_parallel_off_gr + visible "*job_option parallel:off" + } + + frame { + position = = + size 42 8 + group job_solver_multi_procs_parallel_on_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + true_command "*job_option nsolver_procs_serial:on" + false_command "*job_option nsolver_procs_serial:off" + toggle "*job_option nsolver_procs_serial:on" + help job_run_multithreading + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + visible "*job_option nsolver_procs_serial:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + visible "*job_option nsolver_procs_serial:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + help job_run_multithreading + toggle true + set $dummy dummy + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + border_width 1 + border_color black + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + help job_run_multithreading + rollers "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_nsolver_procs_ddm_automatic_gr + visible "*job_option nsolver_procs_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_nsolver_procs_ddm_user_gr + visible "*job_option nsolver_procs_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_param + } + + text { + position +8 = + size 8 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + } +} + +group job_solver_multi_threads_gr { + layout vbox + spacing 0 + + frame { + size 46 8 + group job_solver_multi_threads_it_sparse_parallel_off_gr + visible "and(job_solver_it_sparse,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_off_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_on_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_off_gr + visible "and(job_solver_pardiso,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_on_gr + visible "and(job_solver_pardiso,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_it_ext_off_gr + visible "and(job_solver_it_ext,*job_option parallel:off)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_sparse_multi_threading:on" + true_command "*job_option it_sparse_multi_threading:on" + false_command "*job_option it_sparse_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_sparse_multi_threading:on" + help job_run_multithreading + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_sparse_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option mfront_sparse_multi_threading:on" + true_command "*job_option mfront_sparse_multi_threading:on" + false_command "*job_option mfront_sparse_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option mfront_sparse_multi_threading:on" + help job_run_multithreading + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option mfront_sparse_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help job_run_multithreading + toggle true + set $dummy dummy + } + + label { + position +30 0 + size 12 4 + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + help job_run_multithreading + } + + display { + position +12 0 + size 4 4 + display "job_mfront_sparse_nthreads_dom" + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + } + + label { + position 0 +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + help job_run_multithreading + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + help job_run_multithreading + rollers "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_automatic_gr + visible "*job_option mfront_sparse_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_user_gr + visible "*job_option mfront_sparse_multi_threading_ddm:user" + } +} +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_run_multithreading + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + + + +#-------------------------------------------------------------------------------------------------- +group job_solver_gpu_gr { + + toggle { + position 0 0 + size 30 4 + text "USE \{GPU(s)}" + toggle "*job_option solver_use_gpu:on" + true_command "*job_option solver_use_gpu:on" + false_command "*job_option solver_use_gpu:off" + help job_solver_gpu + } + frame{ + position 0 +4 + size 28 4 + group{ + layout hbox + + label { + position 0 0 + size 16 4 + text "\{GPU} SELECTION" + border_width 1 + border_color black + visible "*job_option solver_use_gpu:on" + } + + roller { + position +16 = + size 12 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + rollers "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + visible "*job_option solver_use_gpu:on" + help job_solver_gpu + } + + text { + position +12 = + size 12 4 + display job_solver_gpus + command "*clear_job_solver_gpus *job_solver_gpus" + visible "and(*job_option solver_use_gpu:on,*job_option solver_gpus:user)" + } + spacer { + stretch 1 + } + } + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option pardiso_multi_threading:on" + true_command "*job_option pardiso_multi_threading:on" + false_command "*job_option pardiso_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option pardiso_multi_threading:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option pardiso_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help job_run_multithreading + toggle true + set $dummy dummy + } + + label { + position = +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + help job_run_multithreading + rollers "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_pardiso_multi_threads_ddm_automatic_gr + visible "*job_option pardiso_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_pardiso_multi_threads_ddm_user_gr + visible "*job_option pardiso_multi_threading_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_param + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_ext_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_ext_multi_threading:on" + true_command "*job_option it_ext_multi_threading:on" + false_command "*job_option it_ext_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_ext_multi_threading:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_ext_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_gr { + + frame{ + position 0 +4 + size 40 4 + group{ + layout hbox + label{ + position 0 0 + size 8 4 + text "SETUP" + help job_run_ddm_setup + } + oneonly { + position +12 = + size 12 4 + text "SINGLE MACHINE" + oneonly "*job_option parallel_setup:single" + command "*job_option parallel_setup:single" + help job_run_ddm_setup + } + oneonly { + position +8 = + size 12 4 + text "NETWORK" + oneonly "*job_option parallel_setup:network" + command "*job_option parallel_setup:network" + help job_run_ddm_setup + } + + spacer { + stretch 1 + } + } + } + + + frame { + position +1 +5 + size 40 16 + group job_parallel_env_network_gr + visible "*job_option parallel_setup:network" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_gr { + + button { + position 0 0 + size 28 4 + text "HOST FILE" + browser host_file_browser + settext $host_file_browser_label "SELECT HOST FILE" + set $host_file_browser_command "*job_host_file" + help job_host_file + } + + button { + position +28 = + size 8 4 + text "EDIT" + command "*job_edit_host_file" + help job_edit_host_file + visible job_host_file + } + + button { + position +8 = + size 8 4 + text "CLEAR" + command "*job_clear_host_file" + help job_clear_host_file + visible job_host_file + } + + display { + position 0 +4 + size 44 4 + display job_host_file + } + + frame { + position 0 +5 + size 44 9 + group job_parallel_env_network_ddm_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_ddm_gr { + + toggle { + position 0 0 + size 22 4 + text "COPY INPUT FILE" + toggle "*job_option copy_input_file:on" + true_command "*job_option copy_input_file:on" + false_command "*job_option copy_input_file:off" + help job_host_copy_inputfile + } + + toggle { + position +23 = + size 21 4 + text "COPY POST FILE" + toggle "*job_option copy_post_file:on" + true_command "*job_option copy_post_file:on" + false_command "*job_option copy_post_file:off" + help job_host_copy_inputfile + } + + label { + position 0 +5 + size 10 4 + text "HOSTS" + border_width 1 + border_color black + visible job_usersub_file + } + + roller { + position +10 = + size 18 4 + nvalues 2 + texts "COMPATIBLE" + "INCOMPATIBLE" + roller "job_option network_hosts" + commands "*job_option network_hosts:compatible" + "*job_option network_hosts:incompatible" + help job_host_comp + visible job_usersub_file + } +} + + +#endif diff --git a/installation/mods_MarcMentat/2019.1/Mentat_menus/job_run.ms.original b/installation/mods_MarcMentat/2019.1/Mentat_menus/job_run.ms.original new file mode 100644 index 000000000..67fe07ee5 --- /dev/null +++ b/installation/mods_MarcMentat/2019.1/Mentat_menus/job_run.ms.original @@ -0,0 +1,2615 @@ +#ifndef AUTOFORGE +popmenu job_title_pm file jobs.ms +popdown job_title_ok file jobs.ms + +group user_domains_gr file domain_decomposition.ms +group user_domains_generate_gr file domain_decomposition.ms +group user_domains_tail_gr file domain_decomposition.ms +group matrix_solver_gr file job_common.ms +popmenu ddm_options file job_common.ms + +browser edit_browser file file.ms +browser directory_browser file file.ms +screen domains file domain_decomposition.ms + + + + browser usersub_file_browser { + position 0 0 + size 82 72 + text "$usersub_file_browser_label" ($usersub_file_browser_label) + filter "*.f *.F *.f90 *.F90" + nvisible 10 + select_files true + cancel_action popdown + ok_action popdown + command "$usersub_file_browser_command" ($usersub_file_browser_command) + } + + + + browser host_file_browser { + position 0 0 + size 82 72 + text "$host_file_browser_label" ($host_file_browser_label) + filter "*" + nvisible 10 + select_files true + cancel_action popdown + ok_action popdown + command "$host_file_browser_command" ($host_file_browser_command) + } + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_popmenu { + + text "RUN JOB" + + group { + + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + button { + position 1 9 + size 24 4 + text "USER SUBROUTINE FILE" + browser usersub_file_browser + settext $usersub_file_browser_label "SELECT USER SUBROUTINE FILE" + set $usersub_file_browser_command "*job_usersub_file" + help job_usersub_file + } + + toggle { + position +26 = + size 22 4 + text "SELECTED USER SUBS" + toggle job_usersubs + help job_run_seluser + visible job_usersubs + popmenu job_usersub_pm + } + + display { + position 1 +4 + size 50 4 + display job_usersub_file + } + + button { + position 1 +4 + size 12 4 + text "EDIT" + command "*job_edit_usersub_file" + visible job_usersub_file + } + + button { + position +12 = + size 12 4 + text "CLEAR" + command "*job_clear_usersub_file" + visible job_usersub_file + } + + roller { + position +12 = + size 26 4 + nvalues 3 + texts "COMPILE / NO SAVE" + "COMPILE AND SAVE" + "RUN SAVED EXECUTABLE" + help job_run_compile + roller "job_option user_source" + visible job_usersub_file + commands "*job_option user_source:compile_nosave" + "*job_option user_source:compile_save" + "*job_option user_source:run_saved" + } + + button { + position 1 +6 + size 24 4 + text "SOLVER/PARALLELIZATION" + help job_run_parallel + popmenu job_run_parallelization_pm + set $popname2 "job_run_parallelization_pm" + } + frame { + position 1 +4 + size 48 16 + border_width 1 + border_color black + + group{ + layout hbox + frame { + position 0 0 + size 24 16 + group { + layout vbox + + display { + position 0 0 + size 24 4 + display job_solver_solution + } + + display { + position = +4 + size 24 4 + display job_solver_type + } + spacer { + stretch 1 + } + + } + } + + frame { + position +22 = + size 24 16 + border_width 1 + border_color black + + group { + #layout vbox + display { + position = +4 + size 24 4 + display job_ddm_domains + } + + display { + position = +4 + size 24 4 + display job_assem_recov_nthreads + } + + display { + position = +4 + size 24 4 + display job_solver_procs + visible solver_allows_multi_procs + } + + display { + position = = + size 24 4 + display job_solver_threads + visible "and(solver_allows_multi_threads,\ + not(and(job_solver_mfront_sparse,\ + *job_option parallel:on)))" + } + + display { + position = +4 + size 24 4 + display job_solver_gpu + visible "and(job_solver_mfront_sparse,job_nonsym_off)" + } + } + } + } + } + + button { + position 1 +18 + size 8 4 + text "TITLE" + popmenu job_title_pm + command "*job_title" + } + +# see also job_common.ms +# see also the ADVANCED JOB SUBMISSION popmenu in this file + + label { + position +10 = + size 7 4 + text "STYLE" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help job_option_input_style + } + + button { + position +20 = + size 13 4 + text "SAVE MODEL" + command "*save_model" + } + + button { + position 1 +6 + size 16 6 + text "SUBMIT (1)" + command "*submit_job 1 *monitor_job" + } + + button { + position +16 = + size 34 6 + text "ADVANCED JOB SUBMISSION" + popmenu job_submit_adv_pm + } + + button { + position 1 +6 + size 16 6 + text "UPDATE" + command "*update_job" + } + + button { + position +16 = + size 16 6 + text "MONITOR" + command "*monitor_job" + } + + button { + position +16 = + size 18 6 + text "KILL" + command "*kill_job *monitor_job" + } + + label { + position 1 +7 + size 32 4 + text "STATUS" + border_width 1 + border_color black + } + + display { + position +32 = + size 18 4 + display "job_status" + } + + label { + position -32 +4 + size 32 4 + text "CURRENT INCREMENT (CYCLE)" + border_width 1 + border_color black + } + + display { + position +32 = + size 18 4 + display "job_increment" + } + + label { + position -32 +4 + size 32 4 + text "SINGULARITY RATIO" + border_width 1 + border_color black + } + + float { + position +32 = + size 18 4 + display "job_singularity_ratio" + } + + label { + position -32 +4 + size 32 4 + text "CONVERGENCE RATIO" + border_width 1 + border_color black + } + + float { + position +32 = + size 18 4 + display "job_convergence_ratio" + } + + label { + position 1 +4 + size 32 4 + text "ANALYSIS TIME" + border_width 1 + border_color black + } + + float { + position +32 = + size 18 4 + display "job_analysis_time" + } + + label { + position -32 +4 + size 32 4 + text "WALL TIME" + border_width 1 + border_color black + } + + display { + position +32 = + size 18 4 + display "job_time" + } + + frame { + position 1 +4 + size 50 8 + + group { + + frame { + position 0 0 + size 50 8 + text "TOTAL" + border_width 1 + border_color black + group { + + label { + position +6 = + size 13 4 + text "CYCLES" + border_width 1 + border_color black + } + + integer { + position +13 = + size 10 4 + display "acc_job_cycles" + border_width 1 + border_color black + } + + label { + position -13 +4 + size 13 4 + text "SEPARATIONS" + border_width 1 + border_color black + } + + integer { + position +13 = + size 10 4 + display "acc_job_separations" + border_width 1 + border_color black + } + + label { + position +10 -4 + size 11 4 + text "CUT BACKS" + border_width 1 + border_color black + } + + integer { + position +11 = + size 10 4 + display "acc_job_cut_backs" + border_width 1 + border_color black + } + + label { + position -11 +4 + size 11 4 + text "REMESHES" + border_width 1 + border_color black + } + + integer { + position +11 = + size 10 4 + display "acc_job_remeshes" + border_width 1 + border_color black + } + } + } + } + } + + label { + position 1 +8 + size 19 4 + text "EXIT NUMBER" + border_width 1 + border_color black + } + + integer { + position +19 = + size 10 4 + display "job_exit" + } + + button { + position +10 = + size 21 4 + text "EXIT MESSAGE" + popmenu job_exit_msg_pm + help exit_message + } + + label { + position 1 +6 + size 7 4 + text "EDIT" + border_width 1 + border_color black + } + + button { + position +7 = + size 12 4 + text "OUTPUT FILE" + command "*job_edit_output" + } + + button { + position +12 = + size 9 4 + text "LOG FILE" + command "*job_edit_log_file" + } + + button { + position +9 = + size 12 4 + text "STATUS FILE" + command "*job_edit_status_file" + } + + button { + position +12 = + size 10 4 + text "ANY FILE" + settext $edit_browser_label "EDIT FILE" + set $edit_browser_command "*edit_file" + browser edit_browser + help edit_file + } + + popdown { + position 1 +6 + size 32 4 + text "OPEN POST FILE (MODEL PLOT RESULTS MENU)" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_default" + } + + button { + position 1 +6 + size 12 8 + text "RESET" + command "*job_submit_reset" + } + + popdown { + position +38 = + size 12 8 + text "OK" + } + } + + window job_run_wi { + parent mentat + origin 35 1 + size 52 115 + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_usersub_pm { + + text "CURRENTLY SELECTED USER SUBROUTINES" + + group { + + + display { + position 1 +5 + size 64 86 + display "job_usersubs" + } + + popdown { + position 27 +88 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 66 102 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_submit_adv_pm { + + text "ADVANCED JOB SUBMISSION" + + group { + + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + label { + position 1 9 + size 19 4 + text "INITIAL ALLOCATION" + border_width 1 + border_color black + } + label { + position +19 = + size 15 4 + text "GENERAL MEMORY" + help job_param_general_init_allocation + } + text { + position +15 = + size 10 4 + display "job_param_value_general_init_allocation" + command "*job_param general_init_allocation" + help job_param_general_init_allocation + } + + label { + position +10 = + size 4 4 + text "MB" + border_width 1 + border_color black + } + + toggle { + position 1 +5 + size 32 4 + text "OUT-OF-CORE ELEMENT STORAGE" + help job_param_elsto + toggle "*job_option elsto:on" + true_command "*job_option elsto:on" + false_command "*job_option elsto:off" + } + + toggle { + position 1 +4 + size 32 4 + text "OUT-OF-CORE INCREMENTAL BACKUP" + help job_param_inc_backup_storage + toggle "*job_option inc_backup_storage:out_of_core" + true_command "*job_option inc_backup_storage:out_of_core" + false_command "*job_option inc_backup_storage:in_core" + } + + toggle { + position +34 = + size 14 4 + text "CHECK SIZES" + help job_run_check + toggle "*job_option check:on" + true_command "*job_option check:on" + false_command "*job_option check:off" + } + + frame { + position 1 +6 + size 48 12 + text "MARC INPUT FILE" + border_width 1 + border_color black + + group { + + label { + position 0 4 + size 9 4 + text "VERSION" + border_width 1 + border_color black + } + + roller { + position +9 = + size 14 4 + nvalues 28 + nvisible 28 + texts "DEFAULT" +#if 0 + "2019.1" +#endif + "2019" + "2018.1" + "2018" + "2017.1" + "2017" + "2016" + "2015" + "2014.2" + "2014.1" + "2014" + "2013.1" + "2013" + "2012" + "2011" + "2010.2" + "2010" + "2008" + "2007" + "2005R3" + "2005" + "2003" + "2001" + "2000" +#if 0 + "8" +#endif + "K7" + "K6.2" + "K5" + "K4" + help job_param_version + rollers "job_input_version_default" +#if 0 + "job_input_version_2019.1" +#endif + "job_input_version_2019" + "job_input_version_2018.1" + "job_input_version_2018" + "job_input_version_2017.1" + "job_input_version_2017" + "job_input_version_2016" + "job_input_version_2015" + "job_input_version_2014.2" + "job_input_version_2014.1" + "job_input_version_2014" + "job_input_version_2013.1" + "job_input_version_2013" + "job_input_version_2012" + "job_input_version_2011" + "job_input_version_2010.2" + "job_input_version_2010" + "job_input_version_2008" + "job_input_version_2007" + "job_input_version_2005r3" + "job_input_version_2005" + "job_input_version_2003" + "job_input_version_2001" + "job_input_version_2000" +#if 0 + "job_input_version_8" +#endif + "job_input_version_k7" + "job_input_version_k6" + "job_input_version_k5" + "job_input_version_k4" + commands "*job_option version:default" +#if 0 + "*job_option version:2019.1" +#endif + "*job_option version:2019" + "*job_option version:2018.1" + "*job_option version:2018" + "*job_option version:2017.1" + "*job_option version:2017" + "*job_option version:2016" + "*job_option version:2015" + "*job_option version:2014.2" + "*job_option version:2014.1" + "*job_option version:2014" + "*job_option version:2013.1" + "*job_option version:2013" + "*job_option version:2012" + "*job_option version:2011" + "*job_option version:2010.2" + "*job_option version:2010" + "*job_option version:2008" + "*job_option version:2007" + "*job_option version:2005r3" + "*job_option version:2005" + "*job_option version:2003" + "*job_option version:2001" + "*job_option version:2000" +#if 0 + "*job_option version:8" +#endif + "*job_option version:k7" + "*job_option version:k6" + "*job_option version:k5" + "*job_option version:k4" + visibles "job_allows_input_version_default" +#if 0 + "job_allows_input_version_2019.1" +#endif + "job_allows_input_version_2019" + "job_allows_input_version_2018.1" + "job_allows_input_version_2018" + "job_allows_input_version_2017.1" + "job_allows_input_version_2017" + "job_allows_input_version_2016" + "job_allows_input_version_2015" + "job_allows_input_version_2014.2" + "job_allows_input_version_2014.1" + "job_allows_input_version_2014" + "job_allows_input_version_2013.1" + "job_allows_input_version_2013" + "job_allows_input_version_2012" + "job_allows_input_version_2011" + "job_allows_input_version_2010.2" + "job_allows_input_version_2010" + "job_allows_input_version_2008" + "job_allows_input_version_2007" + "job_allows_input_version_2005r3" + "job_allows_input_version_2005" + "job_allows_input_version_2003" + "job_allows_input_version_2001" + "job_allows_input_version_2000" +#if 0 + "job_allows_input_version_8" +#endif + "job_allows_input_version_k7" + "job_allows_input_version_k6" + "job_allows_input_version_k5" + "job_allows_input_version_k4" + } + +# see also job_common.ms +# see also the RUN JOB popmenu in this file + + label { + position +14 = + size 7 4 + text "STYLE" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help job_option_input_style + } + + toggle { + position 0 +4 + size 24 4 + text "EXTENDED PRECISION" + help job_run_precision + toggle "*job_option inp_file_prec:extended" + true_command "*job_option inp_file_prec:extended" + false_command "*job_option inp_file_prec:normal" + } + toggle { + position +24 = + size 24 4 + text "INCLUDE UNUSED TABLES" + toggle "*job_option input_file_tables:all" + true_command "*job_option input_file_tables:all" + false_command "*job_option input_file_tables:used" + } + } + } + + button { + position 1 +14 + size 24 4 + text "SCRATCH DIRECTORY" + settext $directory_browser_label "JOB SCRATCH DIRECTORY" + set $directory_browser_command "*job_scratch_directory" + browser directory_browser + help job_scratch_directory + } + + button { + position +24 = + size 24 4 + text "CLEAR" + command "*job_clear_scratch_directory" + visible job_scratch_directory + } + + text { + position 1 +4 + size 48 4 + display job_scratch_dir + command "*job_scratch_directory" + } + +#ifdef DCOM + toggle { + position 1 +6 + size 8 4 + text "\{DCOM}" + toggle "*job_option dcom:on" + help job_run_dcom + true_command "*job_option dcom:on" + false_command "*job_option dcom:off" + visible win32_available + } + + button { + position +8 = + size 12 4 + text "HOSTNAME" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } + + text job_dcom_hostname { + position +12 = + size 28 4 + display "job_dcom_hostname" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } +#endif + + button { + position 1 +6 + size 24 4 + text "TITLE" + popmenu job_title_pm + command "*job_title" + } + + button { + position +24 = + size 24 4 + text "SAVE MODEL" + command "*save_model" + } + + button { + position +4 +6 + size 20 4 + text "WRITE INPUT FILE" + command "*job_write_input" + } + + button { + position = +4 + size 20 4 + text "EDIT INPUT FILE" + command "*job_edit_input" + } + + popdown { + position 1 +5 + size 20 6 + text "SUBMIT 1" + command "*submit_job 1 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 1" + command "*execute_job 1 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 2" + command "*submit_job 2 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 2" + command "*execute_job 2 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 3" + command "*submit_job 3 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 3" + command "*execute_job 3 *monitor_job" + } + + popdown { + position 19 +8 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 +#ifdef DCOM + size 50 100 +#else + size 50 94 +#endif + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_exit_msg_pm { + + text "EXIT MESSAGE" + + group { + + + + text { + position 1 5 + size 84 74 + multiline + readonly + display "job_exit_msg" + } + + popdown { + position 37 +76 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 86 90 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_parallelization_pm { + + text "SOLVER/PARALLELIZATION" + + group { + layout vbox + frame { + position 0 0 + size 42 8 + group { + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 36 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 36 4 + display job_class_label + } + } + } + frame { + position 0 8 + size 42 20 + group job_ddm_gr + text "DOMAIN DECOMPOSITION" + border_width 1 + border_color black + } + + frame { + position 0 +20 + size 42 13 + group job_assem_recov_gr + text "ASSEMBLY AND RECOVERY" + border_width 1 + border_color black + } + + frame { + position 0 +14 + size 42 31 + group job_parallel_matrix_solver_gr + text "MATRIX SOLVER" + border_width 1 + border_color black + } + + frame { + position 0 +32 + size 42 28 + group job_parallel_env_gr + text "PARALLELIZATION ENVIRONMENT" + border_width 1 + border_color black + visible "or(*job_option parallel:on, \ + solver_multi_procs)" + } + frame { + position 15 +30 + size 42 8 + group { + layout hbox + + spacer { + stretch 1 + } + popdown { + position 15 0 + size 12 8 + text "OK" + } + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + stretch 1 + } + } + + window { + parent mentat + origin 38 1 + size 60 119 + background_color body + border_width 1 + border_color border + buffering single + } + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_gr { + + toggle { + position 1 4 + size 42 4 + text "USE \{DDM}" + toggle "*job_option parallel:on" + help job_run_ddm_use + true_command "*job_option parallel:on" + false_command "*job_option parallel:off" + active "and(not(job_solver_it_ext),\ + not(job_solver_mixed_direct_iterative))" + } + + frame { + position = +5 + size 42 4 + group job_ddm_use_gr + visible "*job_option parallel:on" + } +} + +group job_ddm_use_gr { + layout vbox + frame{ + position 0 0 + size 30 4 + group { + layout hbox + label { + position 0 0 + size 12 4 + text "DECOMPOSITION IN" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MARC" + oneonly "*job_option ddm_generator:fea_solver" + command "*job_option ddm_generator:fea_solver" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MENTAT" + oneonly "*job_option ddm_generator:preprocessor" + command "*job_option ddm_generator:preprocessor" + help job_run_ddm_generator + } + } + } + + frame { + position 0 +5 + size 44 8 + group job_ddm_fea_solver_gr + visible "*job_option ddm_generator:fea_solver" + } + + frame { + position = = + size 44 8 + group job_ddm_preprocessor_gr + visible "*job_option ddm_generator:preprocessor" + } + + frame{ + position 0 +5 + size 40 4 + group{ + layout hbox + text { + position 0 0 + size 22 4 + text "Single Input File" + readonly + visible "*job_option ddm_generator:fea_solver" + } + + roller { + position = = + size 22 4 + nvalues 2 + texts "MULTIPLE INPUT FILES" + "SINGLE INPUT FILE" + roller "job_option ddm_single_input" + commands "*job_option ddm_single_input:off" + "*job_option ddm_single_input:on" + visible "*job_option ddm_generator:preprocessor" + help job_run_ddm_single_input + } + + roller { + position +23 = + size 21 4 + nvalues 2 + texts "MULTIPLE POST FILES" + "SINGLE POST FILE" + roller "job_option ddm_single_post" + commands "*job_option ddm_single_post:off" + "*job_option ddm_single_post:on" + help job_run_ddm_single_post + } + } + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_fea_solver_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + help job_param + } + + text { + position +10 = + size 4 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + label { + position 0 +4 + size 7 4 + text "METHOD" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "REC. COORD. BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + button { + position +18 = + size 12 4 + text "ADV. SETTINGS" + popmenu job_ddm_fea_solver_pm + } +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_ddm_fea_solver_pm { + + text "JOB PARALLELIZATION" + + group { + units 32 120 + + + label { + position 0 5 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + frame { + + position 0 +9 + size 32 76 + text "ADVANCED DECOMPOSITION IN MARC" + border_width 1 + border_color black + + group { + + label { + position 1 4 + size 16 4 + text "# DOMAINS" + help job_param + } + + text { + position +16 = + size 14 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + label { + position 1 +4 + size 7 4 + text "METHOD" + border_width 1 + border_color black + } + + roller { + position +7 = + size 23 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "REC. COORD. BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + frame { + position 1 +5 + size 30 20 + group job_ddm_direction_gr + visible "or(*job_option ddm_method:vector, \ + *job_option ddm_method:radial, \ + *job_option ddm_method:angular)" + } + + toggle { + position 1 +21 + size 30 4 + text "DOMAIN ISLAND REMOVAL" + toggle "*job_option ddm_island_removal:on" + true_command "*job_option ddm_island_removal:on" + false_command "*job_option ddm_island_removal:off" + } + + label { + position 1 +4 + size 15 4 + border_width 1 + border_color black + text "GRAPH" + } + + roller { + position +15 = + size 15 4 + nvalues 2 + texts "COARSE" + "FINE" + help ddm_decomp_coarse_graph + rollers "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + commands "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + } + + label { + position 1 +4 + size 15 4 + border_width 1 + border_color black + text "QUADRATIC ELEMENTS" + } + + roller { + position +15 = + size 15 4 + nvalues 2 + texts "GENUINE" + "LINEARIZED" + help job_run_ddm_decomp_linearized + rollers "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + commands "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + } + + label { + position 1 +5 + size 15 4 + text "ELEMENT WEIGHT FACTOR" + help job_param + } + + text { + position +15 = + size 15 4 + display "job_param_value_ddm_elem_weight_factor" + command "*job_param ddm_elem_weight_factor" + help job_run_ddm_decomp_element_weight_factor + } + + toggle { + position 1 +5 + size 30 4 + text "DETECT CONTACT" + toggle "*job_option ddm_detect_contact:on" + true_command "*job_option ddm_detect_contact:on" + false_command "*job_option ddm_detect_contact:off" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + help job_run_ddm_decomp_detect_contact + } + + label { + position = +5 + size 15 4 + text "CONTACT TOLERANCE" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +15 = + size 15 4 + command "*set_ddm_contact_tolerance" + display "job_param_value_ddm_contact_tolerance" + command "*job_param ddm_contact_tolerance" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_tolerance + } + + label { + position -15 +4 + size 15 4 + text "CONTACT CONSTR FACTOR" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +15 = + size 15 4 + display "job_param_value_ddm_contact_constr_factor" + command "*job_param ddm_contact_constr_factor" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_constraint_factor + } + } + } + + popdown { + position 0 +77 + size 32 8 + text "OK" + } + } + mode permanent +} # job_ddm_fea_solver_pm + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_direction_gr { + + button { + position 0 0 + size 15 4 + text "DIRECTION" + command "*job_vector ddm_sort_direction_x" + visible "*job_option ddm_method:vector" + } + + button { + position = = + size 15 4 + text "DIRECTION" + command "*job_vector ddm_sort_direction_x" + visible "not(*job_option ddm_method:vector)" + } + + button { + position +15 = + size 15 4 + text "FROM / TO" + command "*job_vector_from_to ddm_sort_direction_x" + } + + text { + position -15 +4 + size 10 4 + command "*job_param ddm_sort_direction_x" + display "job_param_value_ddm_sort_direction_x" + help ddm_job_decomp_user_direction_x + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_direction_y" + display "job_param_value_ddm_sort_direction_y" + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_direction_z" + display "job_param_value_ddm_sort_direction_z" + } + + frame { + position 0 +4 + size 30 8 + group job_ddm_sort_point_gr + visible "not(*job_option ddm_method:vector)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_sort_point_gr { + + label { + position 0 0 + size 14 4 + border_width 1 + border_color black + text "POINT ON AXIS" + } + + roller { + position +14 = + size 10 4 + nvalues 2 + texts "DEFAULT" + "USER" + roller "job_option ddm_sort_point" + commands "*job_option ddm_sort_point:default" + "*job_option ddm_sort_point:user" + } + + button { + position +10 = + size 6 4 + text "SET" + command "*job_position ddm_sort_point_x" + visible "*job_option ddm_sort_point:user" + } + + text { + position 0 +4 + size 10 4 + command "*job_param ddm_sort_point_x" + display "job_param_value_ddm_sort_point_x" + visible "*job_option ddm_sort_point:user" + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_point_y" + display "job_param_value_ddm_sort_point_y" + visible "*job_option ddm_sort_point:user" + } + + text { + position +10 = + size 10 4 + command "*job_param ddm_sort_point_z" + display "job_param_value_ddm_sort_point_z" + visible "*job_option ddm_sort_point:user" + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_preprocessor_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + border_width 1 + border_color black + } + + integer { + position +10 = + size 4 4 + display valid_domains + } + + button { + position 0 +4 + size 30 4 + text "USER DOMAINS" + popmenu domains_pm + help job_run_ddm_user_domains + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_assem_recov_gr { + + toggle { + position 1 +4 + size 30 4 + text "MULTIPLE THREADS" + true_command "*job_option assem_recov_multi_threading:on" + false_command "*job_option assem_recov_multi_threading:off" + toggle "*job_option assem_recov_multi_threading:on" + } + + label { + position = +4 + size 12 4 + text "# THREADS" + visible "*job_option assem_recov_multi_threading:on" + } + + text { + position +12 = + size 4 4 + display "job_param_value_assem_recov_nthreads" + command "*job_param assem_recov_nthreads" + visible "*job_option assem_recov_multi_threading:on" + } + + label { + position +4 = + size 10 4 + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + } + + display { + position +12 = + size 4 4 + display "job_assem_recov_nthreads_dom" + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + } + spacer{ + stretch 2 + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_matrix_solver_gr { + layout vbox + frame { + position 1 0 + size 36 31 + group { + layout hbox + label { + position 3 4 + size 12 4 + text "SOLUTION" + border_width 1 + border_color black + } + oneonly { + position +12 = + size 12 4 + text "SYMMETRIC" + help job_param_solver_method + oneonly "job_nonsym_off" + command "*job_option solver_nonsym:off" + } + oneonly { + position +12 = + size 12 4 + text "NONSYMMETRIC" + help job_param_solver_method + oneonly "job_nonsym_on" + command "*job_option solver_nonsym:on" + } + spacer { + stretch 1 + } + } + } + + frame { + position 1 +5 + size 42 23 + group matrix_solver_gr + help job_param_solver + } + + frame { + position +1 = + size 42 4 + group job_run_solver_ddm_opts_gr + visible "*job_option parallel:on" + } + + frame { + position 1 +23 + size 42 8 + group job_solver_multi_procs_gr + visible solver_allows_multi_procs + } + + frame { + position = = + size 42 8 + group job_solver_multi_threads_gr + visible solver_allows_multi_threads + } + + frame { + position 1 +9 + size 42 8 + group job_solver_gpu_gr + visible "and(job_solver_mfront_sparse,job_nonsym_off)" + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_run_solver_ddm_opts_gr { + + button { + position 0 0 + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options +# see also job_common.ms! + visible "not(or(job_solver_it_sparse, \ + job_solver_it_ext, \ + job_solver_mixed_direct_iterative, \ + job_solver_pardiso,\ + job_solver_mumps))" + } + button { + position = = + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options_mumps + visible "job_solver_mumps" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_gr { + frame { + position 0 0 + size 42 8 + group job_solver_multi_procs_parallel_off_gr + visible "*job_option parallel:off" + } + + frame { + position = = + size 42 8 + group job_solver_multi_procs_parallel_on_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + true_command "*job_option nsolver_procs_serial:on" + false_command "*job_option nsolver_procs_serial:off" + toggle "*job_option nsolver_procs_serial:on" + help job_run_multithreading + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + visible "*job_option nsolver_procs_serial:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + visible "*job_option nsolver_procs_serial:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + help job_run_multithreading + toggle true + set $dummy dummy + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + border_width 1 + border_color black + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + help job_run_multithreading + rollers "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_nsolver_procs_ddm_automatic_gr + visible "*job_option nsolver_procs_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_nsolver_procs_ddm_user_gr + visible "*job_option nsolver_procs_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_param + } + + text { + position +8 = + size 8 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + } +} + +group job_solver_multi_threads_gr { + layout vbox + spacing 0 + + frame { + size 46 8 + group job_solver_multi_threads_it_sparse_parallel_off_gr + visible "and(job_solver_it_sparse,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_off_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_on_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_off_gr + visible "and(job_solver_pardiso,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_on_gr + visible "and(job_solver_pardiso,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_it_ext_off_gr + visible "and(job_solver_it_ext,*job_option parallel:off)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_sparse_multi_threading:on" + true_command "*job_option it_sparse_multi_threading:on" + false_command "*job_option it_sparse_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_sparse_multi_threading:on" + help job_run_multithreading + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_sparse_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option mfront_sparse_multi_threading:on" + true_command "*job_option mfront_sparse_multi_threading:on" + false_command "*job_option mfront_sparse_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option mfront_sparse_multi_threading:on" + help job_run_multithreading + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option mfront_sparse_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help job_run_multithreading + toggle true + set $dummy dummy + } + + label { + position +30 0 + size 12 4 + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + help job_run_multithreading + } + + display { + position +12 0 + size 4 4 + display "job_mfront_sparse_nthreads_dom" + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + } + + label { + position 0 +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + help job_run_multithreading + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + help job_run_multithreading + rollers "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_automatic_gr + visible "*job_option mfront_sparse_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_user_gr + visible "*job_option mfront_sparse_multi_threading_ddm:user" + } +} +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_run_multithreading + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + + + +#-------------------------------------------------------------------------------------------------- +group job_solver_gpu_gr { + + toggle { + position 0 0 + size 30 4 + text "USE \{GPU(s)}" + toggle "*job_option solver_use_gpu:on" + true_command "*job_option solver_use_gpu:on" + false_command "*job_option solver_use_gpu:off" + help job_solver_gpu + } + frame{ + position 0 +4 + size 28 4 + group{ + layout hbox + + label { + position 0 0 + size 16 4 + text "\{GPU} SELECTION" + border_width 1 + border_color black + visible "*job_option solver_use_gpu:on" + } + + roller { + position +16 = + size 12 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + rollers "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + visible "*job_option solver_use_gpu:on" + help job_solver_gpu + } + + text { + position +12 = + size 12 4 + display job_solver_gpus + command "*clear_job_solver_gpus *job_solver_gpus" + visible "and(*job_option solver_use_gpu:on,*job_option solver_gpus:user)" + } + spacer { + stretch 1 + } + } + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option pardiso_multi_threading:on" + true_command "*job_option pardiso_multi_threading:on" + false_command "*job_option pardiso_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option pardiso_multi_threading:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option pardiso_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help job_run_multithreading + toggle true + set $dummy dummy + } + + label { + position = +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + help job_run_multithreading + rollers "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_pardiso_multi_threads_ddm_automatic_gr + visible "*job_option pardiso_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_pardiso_multi_threads_ddm_user_gr + visible "*job_option pardiso_multi_threading_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_param + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_ext_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_ext_multi_threading:on" + true_command "*job_option it_ext_multi_threading:on" + false_command "*job_option it_ext_multi_threading:off" + help job_run_multithreading + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_ext_multi_threading:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_ext_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_gr { + + frame{ + position 0 +4 + size 40 4 + group{ + layout hbox + label{ + position 0 0 + size 8 4 + text "SETUP" + help job_run_ddm_setup + } + oneonly { + position +12 = + size 12 4 + text "SINGLE MACHINE" + oneonly "*job_option parallel_setup:single" + command "*job_option parallel_setup:single" + help job_run_ddm_setup + } + oneonly { + position +8 = + size 12 4 + text "NETWORK" + oneonly "*job_option parallel_setup:network" + command "*job_option parallel_setup:network" + help job_run_ddm_setup + } + + spacer { + stretch 1 + } + } + } + + + frame { + position +1 +5 + size 40 16 + group job_parallel_env_network_gr + visible "*job_option parallel_setup:network" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_gr { + + button { + position 0 0 + size 28 4 + text "HOST FILE" + browser host_file_browser + settext $host_file_browser_label "SELECT HOST FILE" + set $host_file_browser_command "*job_host_file" + help job_host_file + } + + button { + position +28 = + size 8 4 + text "EDIT" + command "*job_edit_host_file" + help job_edit_host_file + visible job_host_file + } + + button { + position +8 = + size 8 4 + text "CLEAR" + command "*job_clear_host_file" + help job_clear_host_file + visible job_host_file + } + + display { + position 0 +4 + size 44 4 + display job_host_file + } + + frame { + position 0 +5 + size 44 9 + group job_parallel_env_network_ddm_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_ddm_gr { + + toggle { + position 0 0 + size 22 4 + text "COPY INPUT FILE" + toggle "*job_option copy_input_file:on" + true_command "*job_option copy_input_file:on" + false_command "*job_option copy_input_file:off" + help job_host_copy_inputfile + } + + toggle { + position +23 = + size 21 4 + text "COPY POST FILE" + toggle "*job_option copy_post_file:on" + true_command "*job_option copy_post_file:on" + false_command "*job_option copy_post_file:off" + help job_host_copy_inputfile + } + + label { + position 0 +5 + size 10 4 + text "HOSTS" + border_width 1 + border_color black + visible job_usersub_file + } + + roller { + position +10 = + size 18 4 + nvalues 2 + texts "COMPATIBLE" + "INCOMPATIBLE" + roller "job_option network_hosts" + commands "*job_option network_hosts:compatible" + "*job_option network_hosts:incompatible" + help job_host_comp + visible job_usersub_file + } +} + + +#endif diff --git a/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_hmp b/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_hmp index 36ced6543..2e6f44b77 100644 --- a/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_hmp +++ b/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_hmp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_lmp b/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_lmp index 8a0c1255d..d908d68ed 100644 --- a/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_lmp +++ b/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_lmp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_mp b/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_mp index 986d9ae04..b31d84d48 100644 --- a/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_mp +++ b/installation/mods_MarcMentat/2019/Marc_tools/comp_damask_mp @@ -49,4 +49,5 @@ echo "program: $program" exit 1 } /bin/rm $userobj - /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2019/Marc_tools/run_damask_hmp b/installation/mods_MarcMentat/2019/Marc_tools/run_damask_hmp index 2a35ecb37..4a9200e8b 100644 --- a/installation/mods_MarcMentat/2019/Marc_tools/run_damask_hmp +++ b/installation/mods_MarcMentat/2019/Marc_tools/run_damask_hmp @@ -62,7 +62,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -176,16 +176,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -202,7 +202,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -225,7 +225,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -245,7 +245,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -268,7 +268,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -332,7 +332,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -387,7 +387,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -497,7 +497,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -522,7 +522,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -542,7 +542,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -612,7 +612,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -623,7 +623,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -634,7 +634,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -650,7 +650,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -664,7 +664,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -675,7 +675,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -777,7 +777,7 @@ do ;; -au* | -AU*) nauto=$value - echo + echo echo warning: the option -au is no longer supported and will be ignored echo ;; @@ -849,7 +849,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -900,7 +900,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -936,7 +936,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -945,7 +945,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -1000,24 +1000,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1032,7 +1032,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1061,7 +1061,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1095,14 +1095,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1110,7 +1110,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1224,11 +1224,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1293,7 +1293,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1301,7 +1301,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1309,7 +1309,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1626,7 +1626,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1644,7 +1644,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1767,7 +1767,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1809,7 +1809,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1959,7 +1959,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2017,42 +2017,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2305,7 +2305,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2338,7 +2338,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2452,9 +2452,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2538,7 +2538,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2547,7 +2547,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2707,7 +2707,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2731,23 +2731,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2787,7 +2787,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2837,7 +2837,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2848,7 +2848,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2953,7 +2953,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3241,6 +3241,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3283,7 +3284,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3292,10 +3293,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3363,15 +3364,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3553,7 +3554,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3573,6 +3574,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3621,7 +3623,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3670,7 +3672,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3887,7 +3889,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3907,6 +3909,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3946,7 +3949,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4029,7 +4032,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2019/Marc_tools/run_damask_lmp b/installation/mods_MarcMentat/2019/Marc_tools/run_damask_lmp index 32f115dc6..ea6872059 100644 --- a/installation/mods_MarcMentat/2019/Marc_tools/run_damask_lmp +++ b/installation/mods_MarcMentat/2019/Marc_tools/run_damask_lmp @@ -62,7 +62,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -176,16 +176,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -202,7 +202,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -225,7 +225,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -245,7 +245,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -268,7 +268,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -332,7 +332,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -387,7 +387,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -497,7 +497,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -522,7 +522,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -542,7 +542,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -612,7 +612,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -623,7 +623,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -634,7 +634,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -650,7 +650,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -664,7 +664,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -675,7 +675,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -777,7 +777,7 @@ do ;; -au* | -AU*) nauto=$value - echo + echo echo warning: the option -au is no longer supported and will be ignored echo ;; @@ -849,7 +849,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -900,7 +900,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -936,7 +936,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -945,7 +945,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -1000,24 +1000,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1032,7 +1032,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1061,7 +1061,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1095,14 +1095,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1110,7 +1110,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1224,11 +1224,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1293,7 +1293,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1301,7 +1301,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1309,7 +1309,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1626,7 +1626,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1644,7 +1644,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1767,7 +1767,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1809,7 +1809,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1959,7 +1959,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2017,42 +2017,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2305,7 +2305,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2338,7 +2338,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2452,9 +2452,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2538,7 +2538,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2547,7 +2547,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2707,7 +2707,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2731,23 +2731,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2787,7 +2787,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2837,7 +2837,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2848,7 +2848,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2953,7 +2953,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3241,6 +3241,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3283,7 +3284,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3292,10 +3293,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3363,15 +3364,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3553,7 +3554,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3573,6 +3574,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3621,7 +3623,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3670,7 +3672,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3887,7 +3889,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3907,6 +3909,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3946,7 +3949,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4029,7 +4032,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2019/Marc_tools/run_damask_mp b/installation/mods_MarcMentat/2019/Marc_tools/run_damask_mp index 471a63eaf..8aa27505c 100644 --- a/installation/mods_MarcMentat/2019/Marc_tools/run_damask_mp +++ b/installation/mods_MarcMentat/2019/Marc_tools/run_damask_mp @@ -62,7 +62,7 @@ # =1, element storage out-of-core # # -dll run marc using shared library libmarc.so and exe_marc # # =1, used # -# =2, do not free streaming input memory # +# =2, do not free streaming input memory # # =3, run with marc input deck # # -trk run marc for post-tracking # # -gpuid run marc using GPGPU capability # @@ -176,16 +176,16 @@ fi # MARC_MODE i8 # it can also be set by the environmental variable MARC_INTEGER_SIZE # and by the command line option "-mo" -# +# mode= modeerror= modeoption= if test -f $DIRSCRIPT/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available - echo + echo line= fi line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` @@ -202,7 +202,7 @@ fi if test -f $HOME/run_marc_defaults; then line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` if test "$line" = "MARC_MODE"; then - echo + echo echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available echo line= @@ -225,7 +225,7 @@ if test -z "$mode" ; then mode=i8 fi case $mode in - i4) + i4) modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." modeoption=error echo $modeerror @@ -245,7 +245,7 @@ for arg in $* ; do if $setmode ; then mode=$arg case $mode in - i4) + i4) modeerror="bad value for mode option; only i8 is supported." modeoption=error echo @@ -268,7 +268,7 @@ for arg in $* ; do setmode=false fi if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then - echo + echo echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available echo setmode=true @@ -332,7 +332,7 @@ case "`echo '\c'`" in ;; esac -# +# # Variables for the MARC environment # @@ -387,7 +387,7 @@ LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH export LD_LIBRARY_PATH export LD_LIBRARY64_PATH export LD_LIBRARYN32_PATH - + atexit() { kill -15 $$ # @@ -497,7 +497,7 @@ MDSRCLIB=$MARC_LIB/mdsrc.a # or in the user's home directory # format: # MARC_MPI -# +# value= file= if test -f $DIRSCRIPT/run_marc_defaults; then @@ -522,7 +522,7 @@ if test -n "$value"; then notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then @@ -542,7 +542,7 @@ if test -n "$value"; then fi fi fi -# +# # # allow scratch directory to be specified with environmental variable # MARCSCRATCH @@ -612,7 +612,7 @@ do *) DIRJID=`pwd`/$DIRJID ;; - esac + esac ;; -r* | -R*) rid=`$BASENAME $value .t08` @@ -623,7 +623,7 @@ do *) DIRRID=`pwd`/$DIRRID ;; - esac + esac ;; -si* | -SI*) sid=$value @@ -634,7 +634,7 @@ do *) DIRSID=`pwd`/$DIRSID ;; - esac + esac ;; -pi* | -PI*) if test -f $value.t19 @@ -650,7 +650,7 @@ do *) DIRPID=`pwd`/$DIRPID ;; - esac + esac ;; -bdf | -BDF) makebdf=1 @@ -664,7 +664,7 @@ do *) DIRDID=`pwd`/$DIRDID ;; - esac + esac ;; -vf | -VF) vid=`$BASENAME $value .vfs` @@ -675,7 +675,7 @@ do *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; -u* | -U*) user=$value @@ -777,7 +777,7 @@ do ;; -au* | -AU*) nauto=$value - echo + echo echo warning: the option -au is no longer supported and will be ignored echo ;; @@ -849,7 +849,7 @@ do *) DIRSCR=`pwd`/$DIRSCR ;; - esac + esac ;; -ho* | -HO*) host=$value @@ -900,7 +900,7 @@ fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -936,7 +936,7 @@ fi ntprint=$nt nteprint=$nte # copy from -nprocd[s] -if test $nprocdddm -gt 1 +if test $nprocdddm -gt 1 then nteprint=$nprocdddm fi @@ -945,7 +945,7 @@ if test $nte -ne 0 then nteprint=$nte fi -# check for minimum 1 threads per processes for DDM +# check for minimum 1 threads per processes for DDM if test $nprocdddm -gt 1 then if test $nteprint -lt $nprocdddm @@ -1000,24 +1000,24 @@ export OMP_STACKSIZE=7M # deprecate -nthread option at arugment of marc nt=0 # Reset nprocdddmm, nsolver and threads if not given. -if test $nprocdddm -eq 0 -then +if test $nprocdddm -eq 0 +then nprocdarg= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddmprint= -fi -if test $nprocdddm -eq 0 -then +fi +if test $nprocdddm -eq 0 +then nprocdddm= -fi +fi nsolverprint=$nsolver -if test $nsolver -eq 0 -then +if test $nsolver -eq 0 +then nsolverprint= -fi +fi # end of threads setting. gpuoption= if test "$gpuids" = "" ; then @@ -1032,7 +1032,7 @@ else MARCCUDALIBS=$MARCCUDALIBS2 export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH fi -# Linux 64 + HPMPI, Below code is taken from include_linux64 +# Linux 64 + HPMPI, Below code is taken from include_linux64 if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" then export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" @@ -1061,7 +1061,7 @@ if test "$dllrun" -gt 0; then fi if test "$progdll"; then - /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll rmdll=yes pathdll=yes progdll=${progdll}_$marcdll @@ -1095,14 +1095,14 @@ while test forever; do if test $nprocdddm -gt 1 -a $icreated -eq 0; then if test ! -f $DIRJID/1$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/1$jid$dotdat not accessible" fi fi else if test ! -f $DIRJID/$jid$dotdat; then if test "$jid" != "" ; then - error="$error + error="$error input file $DIRJID/$jid$dotdat not accessible" fi fi @@ -1110,7 +1110,7 @@ fi if test $nprocd -gt 1; then if test "$host" ; then if test ! -f $host; then - error="$error + error="$error host name file $host not accessible" fi fi @@ -1224,11 +1224,11 @@ view factor file $DIRVID/$vid.vfs not accessible" notok=false fi done - if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then notok=false fi if $notok; then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER)" fi fi @@ -1293,7 +1293,7 @@ defaults file $DIRDID/$did$dotdat not accessible" then if test $ndcoup -gt 3 then - error="$error + error="$error incorrect option for contact decoupling " fi fi @@ -1301,7 +1301,7 @@ incorrect option for contact decoupling " then if test $ndytran -gt 1 then - error="$error + error="$error incorrect option for Marc-Dytran Switch " fi fi @@ -1309,7 +1309,7 @@ incorrect option for Marc-Dytran Switch " then if test ! -x $MARC_BIN/$exefile then - error="$error + error="$error incorrect option for -mpi option: $MARC_MPITYPE " fi fi @@ -1626,7 +1626,7 @@ Program name ($prog)? $ECHOTXT" *) DIRJID=`pwd`/$DIRJID ;; - esac + esac fi $ECHO "User subroutine name ($user)? $ECHOTXT" read value @@ -1644,7 +1644,7 @@ Program name ($prog)? $ECHOTXT" *) user=`pwd`/$user ;; - esac + esac usernoext=$user usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` @@ -1767,7 +1767,7 @@ Program name ($prog)? $ECHOTXT" *) DIRVID=`pwd`/$DIRVID ;; - esac + esac ;; esac fi @@ -1809,7 +1809,7 @@ Program name ($prog)? $ECHOTXT" fi if test $nsolver -gt 0 then - if test $nsolver -gt $nprocd + if test $nsolver -gt $nprocd then nprocd=$nsolver fi @@ -1959,7 +1959,7 @@ Program name ($prog)? $ECHOTXT" then qid=$value fi - case $qid in + case $qid in s* | S* | l* | L* | v* | V* ) $ECHO "Queue priority ($priority)? $ECHOTXT" read value @@ -2017,42 +2017,42 @@ esac done # -if test $nt -eq 0 -then +if test $nt -eq 0 +then ntarg= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then ntprint= -fi -if test $nt -eq 0 -then +fi +if test $nt -eq 0 +then nt= fi -if test $nte -eq 0 -then +if test $nte -eq 0 +then ntearg= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nteprint= -fi -if test $nte -eq 0 -then +fi +if test $nte -eq 0 +then nte= fi -if test $nts -eq 0 -then +if test $nts -eq 0 +then ntsarg= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then ntsprint= -fi -if test $nts -eq 0 -then +fi +if test $nts -eq 0 +then nts= fi # @@ -2305,7 +2305,7 @@ fi execpath=$usernoext.marc usersub=1 fi - export execpath + export execpath execname=`$BASENAME $execpath` if test "$host" @@ -2338,7 +2338,7 @@ fi exit 1 fi -# check for Myrinet that the number of processes per host is +# check for Myrinet that the number of processes per host is # less than number of available user ports, 5 # .gmpi directory must exist in user's home directory # and must have write permission from remote hosts @@ -2452,9 +2452,9 @@ fi then # Intel MPI if test -f $jid.mfile - then + then /bin/rm $jid.mfile 2> /dev/null - fi + fi /bin/cp $host $jid.host grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile # end Intel MPI for DMP @@ -2538,7 +2538,7 @@ fi else host=$jid.host host_filt=$host - if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" then host_filt=$jid.mfile fi @@ -2547,7 +2547,7 @@ fi # or distributed and set the variable "dirstatus" accordingly. # only perform the check if user subroutine is used # or a user subroutine executable is used - + numfield=1 if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware then @@ -2707,7 +2707,7 @@ fi fi # modify new host file if NFS mounted heterogeneous machine doit= - if test $program = $prog.marc + if test $program = $prog.marc then doit=yes fi @@ -2731,23 +2731,23 @@ if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} /bin/mv $jid.host{$$} $jid.host host=$jid.host - fi + fi fi - done + done fi fi # if test $program = $prog.marc -o $user -o $obj - + else # if test $host # assume shared memory machine if no hostfile given and # MPITYPE is set to mpich or Myrinet - # check for Myrinet that the total number of processes is + # check for Myrinet that the total number of processes is # less than number of available user ports, 5 if test $MPITYPE = "mpich" -o $MPITYPE = "scali" then numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` echo `hostname` $numproc $execpath > $jid.host host=$jid.host - elif test $MPITYPE = "myrinet" + elif test $MPITYPE = "myrinet" then if test $nprocd -gt 5 then @@ -2787,7 +2787,7 @@ printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} fi # if test $host fi # if test $nprocd -gt 1 - + fi # if test $program = $exefile -o $program = $prog.marc ############################################################################## @@ -2837,7 +2837,7 @@ else nsolverarg="$nsolverarg $nsolver" fi if test $nprocdddm -lt 2 -a $nsolver -eq 0 -then +then nprocd=0 fi if test $nprocd -gt 0 @@ -2848,7 +2848,7 @@ then then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -2953,7 +2953,7 @@ $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " then echo " " echo "error: parallel job attempted on non-parallel version," - echo " or, if parallel version is installed, the include " + echo " or, if parallel version is installed, the include " echo " file is probably corrupted" echo " " if test "$deletelog" = no @@ -3241,6 +3241,7 @@ else fi /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3283,7 +3284,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null fi else if test $cpdll = yes; then @@ -3292,10 +3293,10 @@ else fi if test $rmdll = yes then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi - + if test $nprocdddm -gt 1 then numdom=$nprocdddm @@ -3363,15 +3364,15 @@ else # QUENAME=qsub SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" -if test "$priority" +if test "$priority" then SUBMCMD=$SUBMCMD" -p $priority" fi -if test "$att" +if test "$att" then SUBMCMD=$SUBMCMD" -a $att" fi -if test "$cpu" +if test "$cpu" then SUBMCMD=$SUBMCMD" -lt $cpu" fi @@ -3553,7 +3554,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3573,6 +3574,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # # run marc @@ -3621,7 +3623,7 @@ fi if test $dllrun -eq 0; then if test $prgsav = no then - /bin/rm -f $bd$program 2>/dev/null + /bin/rm -f $bd$program 2>/dev/null # for network run, remove executable on remote machines # and executables with modified name if test $nprocd -gt 1 @@ -3670,7 +3672,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi if test $nprocdddm -gt 1 @@ -3887,7 +3889,7 @@ then then counter=$((counter+1)) if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" - then + then DIR1=$DIRJOB line=`grep -v '^#' $userhost | grep "^$ibase "` workdir=`echo $line | $AWK '{print $3}'` @@ -3907,6 +3909,7 @@ else # if test $link fi # if test $link /bin/rm $userobj 2>/dev/null /bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null # done if no job id given if test -z "$jid" then @@ -3946,7 +3949,7 @@ if test $ddm_arc -gt 0; then RUN_JOB="$MESHERDIR/sf_exeddm $RUN_JOB -ddm $ddm_arc " fi - $RUN_JOB + $RUN_JOB if test $nprocd -gt 1 then @@ -4029,7 +4032,7 @@ else /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null fi if test $rmdll = yes;then - /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null fi fi diff --git a/installation/mods_MarcMentat/2019/Mentat_bin/submit1.original b/installation/mods_MarcMentat/2019/Mentat_bin/submit1.original index 577db012a..094dea194 100644 --- a/installation/mods_MarcMentat/2019/Mentat_bin/submit1.original +++ b/installation/mods_MarcMentat/2019/Mentat_bin/submit1.original @@ -4,7 +4,7 @@ # Normal exit status is 0. # -DIR=/nethome/f.roters/temp/msc/marc2019 +DIR=/tmp/msc/marc2019 if test $MARCDIR1 then DIR=$MARCDIR1 diff --git a/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_hmp b/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_hmp new file mode 100644 index 000000000..de6fce745 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_hmp @@ -0,0 +1,53 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +usernoext=$user +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + +# add BLAS options for linking + BLAS="%BLAS%" + +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user on host `hostname`" +echo "program: $program" + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$usernoext.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $BLAS \ + $SYSLIBS || \ + { + echo "$0: link failed for $usernoext.o on host `hostname`" + exit 1 + } + /bin/rm $userobj + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_lmp b/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_lmp new file mode 100644 index 000000000..6d063adf3 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_lmp @@ -0,0 +1,53 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +usernoext=$user +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + +# add BLAS options for linking + BLAS="%BLAS%" + +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user on host `hostname`" +echo "program: $program" + $DFORTRANLOWMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$usernoext.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $BLAS \ + $SYSLIBS || \ + { + echo "$0: link failed for $usernoext.o on host `hostname`" + exit 1 + } + /bin/rm $userobj + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_mp b/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_mp new file mode 100644 index 000000000..871b8a449 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/comp_damask_mp @@ -0,0 +1,53 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +usernoext=$user +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` +usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + +# add BLAS options for linking + BLAS="%BLAS%" + +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user on host `hostname`" +echo "program: $program" + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$usernoext.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $BLAS \ + $SYSLIBS || \ + { + echo "$0: link failed for $usernoext.o on host `hostname`" + exit 1 + } + /bin/rm $userobj + /bin/rm $DIRJOB/*.mod + /bin/rm $DIRJOB/*.smod diff --git a/installation/mods_MarcMentat/2020/Marc_tools/comp_user.original b/installation/mods_MarcMentat/2020/Marc_tools/comp_user.original new file mode 100644 index 000000000..8679bb041 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/comp_user.original @@ -0,0 +1,41 @@ +#!/bin/ksh +# 1st arg: $DIR +# 2nd arg: $DIRJOB +# 3rd arg: $user +# 4th arg: $program +DIR=$1 +user=$3 +program=$4 +. $DIR/tools/include +DIRJOB=$2 +cd $DIRJOB +echo "Compiling and linking user subroutine $user.f on host `hostname`" +echo "program: $program" + $FORTRAN $user.f || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + userobj=$user.o + + + $LOAD ${program} $DIR/lib/main.o\ + $DIR/lib/blkdta.o $DIR/lib/comm?.o \ + ${userobj-} \ + $DIR/lib/srclib.a \ + $MNFLIBS \ + $MDUSER \ + ../lib/mdsrc.a \ + ../lib/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SYSLIBS || \ + { + echo "$0: link failed for $user.o on host `hostname`" + exit 1 + } + /bin/rm $userobj diff --git a/installation/mods_MarcMentat/2020/Marc_tools/include_linux64 b/installation/mods_MarcMentat/2020/Marc_tools/include_linux64 new file mode 100644 index 000000000..7d768846a --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/include_linux64 @@ -0,0 +1,814 @@ +# +# General definitions for the Marc 2020 version +# +# EM64T +# +# Linux RedHat 7.3 / SuSE 12 SP1 +# +# 64 bit MPI version +# +# Intel(R) Fortran Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 19.0.4.243 Build 20190416 +# +# Intel(R) C Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 19.0.4.243 Build 20190416 +# +# To check the O/S level, type: +# uname -a +# +# Distributed parallel MPI libraries: +# Intel MPI 2019 Update 4 +# To check the mpi version, type: +# mpiexec.hydra -version +# +# To check the Compiler level, type using the compiler +# installation path: +# ifort -V +# icc -V +# +# REMARKS : This file contains the definitions of variables used during +# compilation loading and use of the MARC programmes . The +# current machine type is identified by means of the variable +# MACHINE , defined below. +# +# +# MPI_ROOT: root directory in which mpi shared libraries, etc. are located +# DIRJOB : directory in which spawned jobs should look for Marc input +# MPI_ARCH: system architecture +# MPI_EPATH: path where executable resides +# +REVISION="VERSION, BUILD" +HOSTNAME=`hostname` + +# find available memory in Mbyte on the machine +# can be set explicitly +MEMLIMIT=`free -m | awk '/Mem:/ {print $2}'` + +# set _OEM_NASTRAN to 1 for MD Nastran build +# override _OEM_NASTRAN setting with MARC_MD_NASTRAN environment variable +_OEM_NASTRAN="${MARC_MD_NASTRAN:-0}" + +# uncomment the following line for an autoforge build +#AUTOFORGE=1 +AUTOFORGE=0 +export AUTOFORGE + +# integer size +if test "$MARC_INTEGER_SIZE" = "" ; then + INTEGER_PATH= +else + INTEGER_PATH=/$MARC_INTEGER_SIZE +fi + +FCOMP=ifort +INTELPATH="/opt/intel/compilers_and_libraries_2019/linux" + +# find the root directory of the compiler installation: +# - if ifort is found in $PATH, then the root directory is derived +# from the path to ifort +# - if ifort is not found in $PATH, the root directory is assumed +# to be $INTELPATH and the directory in which ifort is found is +# added to $PATH +FCOMPPATH=`which "$FCOMP" 2>/dev/null` +if test -n "$FCOMPPATH"; then + # derive the root directory from $FCOMPPATH + FCOMPROOT="${FCOMPPATH%/bin/intel64/$FCOMP}" + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT="${FCOMPPATH%/bin/$FCOMP}" + fi + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT= + fi +elif test -d "$INTELPATH"; then + # check for compiler in $INTELPATH + if test -d "$INTELPATH/bin/intel64" -a \ + -x "$INTELPATH/bin/intel64/$FCOMP" ; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin/intel64:$PATH" + elif test -d "$INTELPATH/bin" -a \ + -x "$INTELPATH/bin/$FCOMP"; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin:$PATH" + else + FCOMPROOT= + fi +else + FCOMPROOT= +fi + +# DAMASK uses the HDF5 compiler wrapper around the Intel compiler +H5FC="$(h5fc -shlib -show)" +HDF5_LIB=${H5FC//ifort/} +FCOMP="$H5FC -DDAMASK_HDF5" + +# AEM +if test "$MARCDLLOUTDIR" = ""; then + DLLOUTDIR="$MARC_LIB" +else + DLLOUTDIR="$MARCDLLOUTDIR" +fi + +# settings for MKL +if test "$IMKLDIR" = ""; then + MARC_MKL="$FCOMPROOT/mkl/lib/intel64" +else + MARC_MKL=$IMKLDIR/lib/intel64 +fi + +# +# settings for Metis +# +METIS="-I$METIS_SOURCE/include" +METISLIBS="$METISLIB_DIR/libmarcddm.a $METISLIB_DIR/libmarcmetis.a " + +# +# settings for MPI +# +# RCP and RSH are used for parallel network runs +# replace with similar commands like rsh if needed +RCP=/usr/bin/scp +RSH=/usr/bin/ssh +# + + +MPI_DEFAULT=intelmpi +MPI_OTHER= + +MPITYPE=$MPI_DEFAULT + +if test $AUTOFORGE +then + if test $AUTOFORGE = 1 + then + MPITYPE=none + fi +fi + + +# overrule MPITYPE setting with environmental variable MARC_MPITYPE +if test $MARC_MPITYPE +then + MPITYPE=$MARC_MPITYPE +fi + +# always set MPITYPE to none for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + MPITYPE=none +fi + +# Edit following lines to build with GPGPU version of BCS Solver for +# NVIDIA platforms +#BCSGPUSOLVER=NONE +BCSGPUSOLVER=BCSGPU + +# Edit following lines to build solver 2 with GPU support +SOLVER2GPU=GPU +#SOLVER2GPU=NONE + +# Edit following lines to set the openssl library +if test "$OPENSSL" != "NONE" +then + OPENSSL_LIB="$MARC_LIB/libcrypto.a" +fi +OPENSSL_INCLUDE=-I"$MARC_OPENSSL/include/" + +MARCHDF_HDF=HDF +#MARCHDF_HDF=NONE + +# activate contact component build if flagged +AEM_DLL=0 +if test "$AEM_BUILD" = "ON" ; then + AEM_DLL=1 + LINK_MARC_DLL="-shared -fPIC" + EXT_DLL="so" + MPITYPE=none + MPI_OTHER= + MARCHDF_HDF=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE + MUMPSSOLVER=NONE + CASISOLVER=NONE +fi + +if test "$MARCHDF_HDF" = "HDF"; then + HDF_INCLUDE="-I$MARC_HDF/include" + HDF_LIBS="$MARC_LIB/libhdf5_fortran.so.100 $MARC_LIB/libhdf5.so.103" +fi + +SOLVERFLAGS= +if test "$BCSGPUSOLVER" = BCSGPU +then + SOLVERFLAGS="$SOLVERFLAGS -DBCSGPU -DCUDA" + BCS_DIR=bcsgpusolver +else + BCS_DIR=bcssolver +fi +# +# settings for MPI +# +DDM= +if test $MPITYPE != none +then + if test $MPITYPE = intelmpi + then + INTELMPI_VERSION=HYDRA + FCOMPMPI=mpiifort + if test -n "$MARC_INTELMPI" ; then + MPI_ROOT=$MARC_INTELMPI + else + MPI_ROOT=/opt/intel/compilers_and_libraries_2019/linux/mpi/intel64 + MARC_INTELMPI=$MPI_ROOT + fi + DDM="-I${MPI_ROOT}/include -DDDM" + PATH=$MPI_ROOT/bin:$PATH + export PATH + LD_LIBRARY_PATH=$MPI_ROOT/lib:$MPI_ROOT/lib/release:$MPI_ROOT/libfabric/lib:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + if test $INTELMPI_VERSION = HYDRA + then + RUN_JOB1="${MPI_ROOT}/bin/mpiexec.hydra -genvall -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec.hydra -genvall" + else + RUN_JOB1="${MPI_ROOT}/bin/mpiexec -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec -configfile " + fi + RUN_JOB0= + MPI_CLEAN= + MPI_EPATH=$MARC_BIN + MPIR_HOME=$MPI_ROOT + MPICH_F77=$FCOMP + MPICH_F77LINKER=$FCOMP + export MPI_ROOT MPI_EPATH MPIR_HOME MPICH_F77 MPICH_F77LINKER + FI_PROVIDER_PATH=$MPI_ROOT/libfabric/lib/prov + export FI_PROVIDER_PATH + fi +else + MPI_ROOT=$MARC_DUMMYMPI + export MPI_ROOT=$MARC_DUMMYMPI + DDM="-I$MPI_ROOT/include" +fi + +# +# variables for the "maintain" script +# + +MACHINENAME=LINUX +MACHINE64BIT=yes +MACHINE=Linux_EM64T +DEV=/dev/tape +GETLOG="whoami" +CLEAR="clear" +MY_UNAME=`uname -a` + +# Edit following 2 lines to build with VKI Solver +#VKISOLVER=VKI +VKISOLVER=NONE + +# Edit following 2 lines to build with CASI Solver +CASISOLVER=CASI +if test "$MARC_CASISOLVER" = "NONE" ; then + CASISOLVER=NONE +fi +#CASISOLVER=NONE + +# Edit following 2 lines to build with MF2 Solver +MF2SOLVER=NONE +#MF2SOLVER=SERIAL +#MF2SOLVER=MF2PARALLEL + +# Edit following lines to build with Intel(c) Multithreaded solver (PARDISO) +#INTELSOLVER=NONE +INTELSOLVER=PARDISO + +# Edit following lines to build with MUMPS +if test "$MARC_INTEGER_SIZE" = "i4" ; then + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +else + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +fi + +# Edit following 2 lines to build MARC dynamic shared library +MARC_DLL=MARC_DLL +MARC_DLL=NONE + +# always set VKISOLVER, CASISOLVER, BCSGPUSOLVER, and MARC_DLL to NONE for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE + MARC_DLL=NONE +fi +if test "$AEM_DLL" -eq 1 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE +fi + +# +# define Fortran and C compile syntax +# +if test "$VKISOLVER" = VKI +then + SOLVERFLAGS="$SOLVERFLAGS -DVKI" +fi + +if test "$CASISOLVER" = CASI +then + SOLVERFLAGS="$SOLVERFLAGS -DCASI" +fi + +if test "$MF2SOLVER" = MF2PARALLEL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2PARALLEL" +fi +if test "$MF2SOLVER" = MF2SERIAL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2SERIAL" +fi + +if test "$INTELSOLVER" = PARDISO +then + SOLVERFLAGS="$SOLVERFLAGS -DPARDISO" +fi + +if test "$MUMPSSOLVER" = MUMPS +then + SOLVERFLAGS="$SOLVERFLAGS -DMUMPS" +fi + + +if test "$MARC_DLL" = MARC_DLL +then + SOLVERFLAGS="$SOLVERFLAGS -DMARC_DLL" +fi + +if test "$SOLVER2GPU" = GPU +then + SOLVERFLAGS="$SOLVERFLAGS -DSOLVER2GPU" +fi + +LINK_OPT= +DEBUG_OPT= +C_DEBUG_OPT= + +#Uncomment following line to build Marc in debuggable mode +MARCDEBUG= +#MARCDEBUG="ON" + +if test "$MARCDEBUG" = "ON" +then + LINK_OPT="-debug -traceback" + DEBUG_OPT="-debug -traceback" + C_DEBUG_OPT="-debug -traceback" +fi + + +MARCCHECK= +#MARCCHECK="ON" +if test "$MARCCHECK" = "ON" +then + DEBUG_OPT="$DEBUG_OPT -fpe0 -fp-stack-check -check all -ftrapuv " + C_DEBUG_OPT="$C_DEBUG_OPT -fp-stack-check -check-uninit -Wformat -ftrapuv " +fi + +MARCCODECOV= +#MARCCODECOV="ON" + +MARCCODEPROF= +#MARCCODEPROF="ON" + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + I8FFLAGS= + I8DEFINES= + I8CDEFINES= +else + I8FFLAGS="-i8 -integer-size 64" + I8DEFINES="-DI64 -DINT=8" + I8CDEFINES="-U_DOUBLE -D_SINGLE" +fi + +MTHREAD=OPENMP +if test "$MARC_OPENMP" = "NONE" ; then + MTHREAD=NONE +fi +#MTHREAD=NONE +if test "$_OEM_NASTRAN" -ne 0 +then +MTHREAD=NONE +fi +if test "$AEM_DLL" -eq 1 +then + MTHREAD=NONE + CASISOLVER=NONE + VKISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE + OPENSSL_LIB= + MARC_DLL=NONE + METISLIBS= +fi + +OMP_COMPAT=NO +OMP_COMPAT=YES +if test "$MTHREAD" = "NONE" +then +OMP_COMPAT=NO +fi + +CDEFINES= +FDEFINES= + +if test "$_OEM_NASTRAN" -ne 0 +then + CDEFINES="$CDEFINES -D_OEM_NASTRAN" + FDEFINES="$FDEFINES -D_OEM_NASTRAN" +fi + +FDEFINES="$FDEFINES -D_IMPLICITNONE" + +if test "$_OEM_NASTRAN" -eq 0 +then + FDEFINES="$FDEFINES -DMKL -DOPENMP" +fi + +if test "$OMP_COMPAT" = "YES" +then + FDEFINES="$FDEFINES -DOMP_COMPAT" +fi + +# -D_MSCMARC +FDEFINES="$FDEFINES -D_MSCMARC $DEBUG_OPT $MARC_SIMUFACT" +CDEFINES="$CDEFINES -D_MSCMARC $C_DEBUG_OPT $I8CDEFINES" + +if test "$AEM_DLL" -eq 1 +then + FDEFINES="$FDEFINES -D_AEMNL -DAAA" + CDEFINES="$CDEFINES -D_AEMNL -DAAA" +fi + +CINCL="-I$MARC_SOURCE/mdsrc -I$MARC_SOURCE/csource $METIS -I$LAPI_IMPORTS/common/include" +if test "$_OEM_NASTRAN" -ne 0 +then + CINCL="$CINCL -I../../include" +fi + +CC_OPT= +if test "$MTHREAD" = "OPENMP" +then + CC_OPT=" $CC_OPT -qopenmp" +fi + +CC="icc -c $CC_OPT -O1 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCLOW="icc -c $CC_OPT -O0 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCHIGH="icc -c $CC_OPT -O3 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + +if test "$MARCDEBUG" = "ON" +then + CC="icc -c $CC_OPT -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCLOW="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCHIGH="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +fi + +LOAD_CC="icc $CC_OPT -O1 -DLinux -DLINUX -DLinux_intel" +CCT="$CC" +CCTLOW="$CCLOW" +CCTHIGH="$CCHIGH" + +#PROFILE="-Mprof=func" +#PROFILE="-Mprof=lines" +#PROFILE="-Mprof=func,mpi" +PROFILE= +#PROFILE="-init=snan,arrays -CB -traceback -fpe0 -fp-stack-check -check all -check uninit -ftrapuv" +if test "$MARCCODECOV" = "ON" +then +PROFILE="-prof-gen=srcpos" +fi +if test "$MARCCODEPROF" = "ON" +then +PROFILE=" $PROFILE -pg" +fi + +FORT_OPT="-c -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr -mp1 -WB -fp-model source" +if test "$MTHREAD" = "OPENMP" +then + FORT_OPT=" $FORT_OPT -qopenmp" + if test "$OMP_COMPAT" = "YES" + then + FORT_OPT=" $FORT_OPT -qopenmp-threadprivate=compat" + fi +else +# FORT_OPT=" $FORT_OPT -auto " + FORT_OPT=" $FORT_OPT -save -zero" +fi +if test "$MARCHDF_HDF" = "HDF"; then + FORT_OPT="$FORT_OPT -DMARCHDF=$MARCHDF_HDF" +fi + +FORTLOW="$FCOMP $FORT_OPT $PROFILE -O0 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTRAN="$FCOMP $FORT_OPT $PROFILE -O1 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTNA="$FCOMP $FORT_OPT -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +# for compiling free form f90 files. high opt, integer(4) +FORTF90="$FCOMP -c -O3" + +# determine DAMASK version +if test -n "$DAMASK_USER"; then + DAMASKROOT=`dirname $DAMASK_USER`/.. + read DAMASKVERSION < $DAMASKROOT/VERSION + DAMASKVERSION="'"$DAMASKVERSION"'" +else + DAMASKVERSION="'N/A'" +fi + + +# DAMASK compiler calls: additional flags are in line 2 OpenMP flags in line 3 +DFORTLOWMP="$FCOMP -c -O0 -qno-offload -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr $PROFILE -zero -mp1 -WB $I8FFLAGS -I$MARC_SOURCE/common \ + -fpp -ftz -diag-disable 5268 -warn declarations -warn general -warn usage -warn interfaces -warn ignore_loc -warn alignments -DMarc4DAMASK=2019 -DDAMASKVERSION=$DAMASKVERSION \ + -qopenmp -qopenmp-threadprivate=compat\ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +DFORTRANMP="$FCOMP -c -O1 -qno-offload -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr $PROFILE -zero -mp1 -WB $I8FFLAGS -I$MARC_SOURCE/common \ + -fpp -ftz -diag-disable 5268 -warn declarations -warn general -warn usage -warn interfaces -warn ignore_loc -warn alignments -DMarc4DAMASK=2019 -DDAMASKVERSION=$DAMASKVERSION \ + -qopenmp -qopenmp-threadprivate=compat\ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +DFORTHIGHMP="$FCOMP -c -O3 -qno-offload -implicitnone -stand f08 -standard-semantics -assume nostd_mod_proc_name -safe_cray_ptr $PROFILE -zero -mp1 -WB $I8FFLAGS -I$MARC_SOURCE/common \ + -fpp -ftz -diag-disable 5268 -warn declarations -warn general -warn usage -warn interfaces -warn ignore_loc -warn alignments -DMarc4DAMASK=2019 -DDAMASKVERSION=$DAMASKVERSION \ + -qopenmp -qopenmp-threadprivate=compat\ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + +if test "$MARCDEBUG" = "ON" +then + FORTLOW="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTRAN="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTNA="$FCOMP $FORT_OPT -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +fi + +FORTLOWT="$FORTLOW" +FORTRANT="$FORTRAN" +FORTHIGHT="$FORTHIGH" + +FORTRANMNF="$FCOMP -c $FDEFINES " +CCMNF="icc -c -O1 -DLinux -DLINUX -DLinux_intel -Dport2egcs -I$MARC_SOURCE/marctoadams/mnf/include -D_LARGEFILE64_SOURCE" + +if test $MPITYPE != none +then + if test $MPITYPE = hpmpi + then + LOAD="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + LOADT="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + fi +# Uncomment the following lines to turn on the tracer and commnet out the next 5 lines +# if test $MPITYPE = intelmpi +# then +# INCLUDEMPI="-I$MPI_ROOT/include -I$VT_ROOT/include" +# LOAD="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# LOADT="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# fi + if test $MPITYPE = intelmpi + then + LOAD="ifort $PROFILE $LINK_OPT -o " + LOADT="ifort $PROFILE $LINK_OPT -o " + fi +else + LOAD="$FCOMP $LINK_OPT -o " + LOADT="$FCOMP $LINK_OPT -o " +fi + +if test "$MARC_DLL" = MARC_DLL +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide -lpthread" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + +if test "$AEM_DLL" -eq 1 +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + + +XLIBS="-L/usr/X11/lib -lX11 " + +# +# define archive and ranlib syntax +# + +ARC="ar rvl" +ARD="ar dvl" +ARX="ar xl" +RAN="" + +# +# choose which libraries you want to use ( e.g. blas ) +# + +if test "$VKISOLVER" = VKI +then + VKISOLVERLIBS="$MARC_LIB/vkisolver.a" +else + VKISOLVERLIBS= +fi + +if test "$CASISOLVER" = CASI +then + CASISOLVERLIBS="$CASILIB_DIR/libmarccasi.a $CASILIB_DIR/libcasi.a" +else + CASISOLVERLIBS= +fi + +MF2SOLVERLIBS= +if test "$MF2SOLVER" = MF2PARALLEL +then + MF2SOLVERLIBS="$MARC_LIB/mf2parallel/libseq.a \ + $MARC_LIB/mf2parallel/libsym.a \ + $MARC_LIB/mf2parallel/libmet.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libnum.a \ + $MARC_LIB/mf2parallel/libutl.a \ + $MARC_LIB/mf2parallel/libr8.a \ + $MARC_LIB/mf2parallel/libz.a " +fi + +if test "$MUMPSSOLVER" = MUMPS +then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps.a" + if test $MPITYPE = none + then + MUMPSSOLVERLIBS2= + echo hello > /dev/null + fi + if test $MPITYPE = intelmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a " + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a " + fi + fi + if test $MPITYPE = hpmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_hpmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a" + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a" + fi + fi +else + MUMPSSOLVERLIBS= + MUMPSSOLVERLIBS2= +fi + +if test "$BCSGPUSOLVER" = BCSGPU +then + BCSSOLVERLIBS="${MARC_LIB}/bcsgpulib.a " + MARCCUDALIBS1="-L${MARC_LIB}/cuda_dummy -lmarccuda " + MARCCUDALIBS2="-L${MARC_LIB}/cuda -lmarccuda " + MARCCUDALIBS=$MARCCUDALIBS1 +else + BCSSOLVERLIBS="${MARC_LIB}/bcslib.a " +fi + +SOLVER2LIBS= +if test "$SOLVER2GPU" = GPU +then + SOLVER2LIBS="-L$MARC_LIB/cuda_dummy -lsolver2gpu" +fi + +if test "$AEM_DLL" -eq 1 +then + BCSSOLVERLIBS= +fi + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + MKLLIB="$MARC_MKL/libmkl_scalapack_lp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_lp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MARC_MKL/libmkl_blacs_intelmpi_lp64.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +else + MKLLIB="$MARC_MKL/libmkl_scalapack_ilp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_ilp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +fi + +SECLIBS="-L$MARC_LIB -llapi" + +SOLVERLIBS="${BCSSOLVERLIBS} ${VKISOLVERLIBS} ${CASISOLVERLIBS} ${MF2SOLVERLIBS} \ + $MKLLIB -L$MARC_MKL -liomp5 \ + $MARC_LIB/blas_src.a ${ACSI_LIB}/ACSI_MarcLib.a $KDTREE2_LIB/libkdtree2.a $HDF5_LIB $SOLVER2LIBS" + +SOLVERLIBS_DLL=${SOLVERLIBS} +if test "$AEM_DLL" -eq 1 +then +SOLVERLIBS_DLL="$MKLLIB -L$MARC_MKL -liomp5 $MARC_LIB/blas_src.a" +fi +MRCLIBS="$MARC_LIB/clib.a ${CASISOLVERLIBS}" +MRCLIBSPAR="$MARC_LIB/clib.a" +STUBS="$MARC_LIB/stubs.a " +MNFLIBS="$MARC_LIB/libmnf.a" +MDUSER="$MARC_LIB/md_user.a" +if test "X$MARC_SIMUFACT" != "X" +then + SFLIB="-L$SFMATDIR -lMBA_Grain" +else + SFLIB=" " +fi +OPENMP="-qopenmp" + +if test "$AEM_DLL" -eq 1 +then + LOAD_DLL=$LOAD + OPENMP= + LIBMNF= + OPENSSL=NONE +fi + +SYSLIBS=" $OPENMP -lpthread -cxxlib" + +# Uncomment the following lines to turn on the trace and comment out the next 4 lines +# if test $MPITYPE = intelmpi +# then +# SYSLIBS="-L${VT_ROOT}/lib -lVT -ldwarf -lelf -lm -lpthread \ +# -L${MPI_ROOT}/lib64 -lmpi -lmpiif -lmpigi -lrt" +# fi +if test $MPITYPE = intelmpi +then + SYSLIBS="-L${MPI_ROOT}/lib/release -lmpi -L${MPI_ROOT}/lib -lmpifort -lrt $OPENMP -threads -lpthread -cxxlib" +fi + + +SYSLIBSPAR=" " + +MARC_DLL_CODES="runmarc.f" + + +BLAS_SRC="dzero.f icopy.f izero.f" +if test "$_OEM_NASTRAN" -ne 0 +then + if test "$MARC_INTEGER_SIZE" = "i4" ; then + BLAS_SRC="$BLAS_SRC dsctr.f zsctr.f dzasum.f daxpyi.f zaxpyi.f dgthr.f zgthr.f" + else + BLAS_SRC="ALL" + fi +fi + +LOW_OPT_CODES="are163.f contro.f ndext.f omarc.f omarca.f omarcb.f omarcc.f \ + omars.f fixbc.f triang.f bet049.f norst3.f eldata.f \ + elec*.f elct*.f fmeig.f oada00.f ogeig.f updtrbe2.f cycrota.f \ + cordef.f ogpk.f ogtan.f eldam.f formrbe3.f \ + inertie.f em_sso072.f cn_fol3d_qpatch6.f cosim_begin.f" +if test "$MARC_INTEGER_SIZE" = "i8" ; then + LOW_OPT_CODES="$LOW_OPT_CODES bbcseg.f" +fi + +HIGH_OPT_CODES="dpsmsa1.f dpsmsa2.f dpsmsa3.f dpsmsa4.f dpsmsa5.f dpsmsa6.f \ + dpsmsa7.f dpsmsa8.f dpsmsa9.f dpsmsa10.f dpsmsa11.f dpsmsa12.f \ + dpsmsa13.f dpsmsa14.f dpsmsa15.f dpsmsa16.f dpsmsah.f tpsmsah.f cn_qsort4_11.f \ + prei11.f prei12.f prei31.f prei32.f prei41.f prei42.f prei61.f prei62.f \ + prei1n.f prei2n.f cgfullnts1.f cgfullnts2.f cg1n.f cg2n.f cg3n.f \ + cg4n.f cg5n.f cg6n.f cgnn.f sortab.f sortab1.f triann1.f preinv_nts.f \ + cn_sur_patchl.f cn_quad_3e.f" + + + +MAXNUM=1000000 diff --git a/installation/mods_MarcMentat/2020/Marc_tools/include_linux64.original b/installation/mods_MarcMentat/2020/Marc_tools/include_linux64.original new file mode 100644 index 000000000..82cac9991 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/include_linux64.original @@ -0,0 +1,785 @@ +# +# General definitions for the Marc 2020 version +# +# EM64T +# +# Linux RedHat 7.3 / SuSE 12 SP1 +# +# 64 bit MPI version +# +# Intel(R) Fortran Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 19.0.4.243 Build 20190416 +# +# Intel(R) C Intel(R) 64 Compiler XE for applications +# running on Intel(R) 64, Version 19.0.4.243 Build 20190416 +# +# To check the O/S level, type: +# uname -a +# +# Distributed parallel MPI libraries: +# Intel MPI 2019 Update 4 +# To check the mpi version, type: +# mpiexec.hydra -version +# +# To check the Compiler level, type using the compiler +# installation path: +# ifort -V +# icc -V +# +# REMARKS : This file contains the definitions of variables used during +# compilation loading and use of the MARC programmes . The +# current machine type is identified by means of the variable +# MACHINE , defined below. +# +# +# MPI_ROOT: root directory in which mpi shared libraries, etc. are located +# DIRJOB : directory in which spawned jobs should look for Marc input +# MPI_ARCH: system architecture +# MPI_EPATH: path where executable resides +# +REVISION="VERSION, BUILD" +HOSTNAME=`hostname` + +# find available memory in Mbyte on the machine +# can be set explicitly +MEMLIMIT=`free -m | awk '/Mem:/ {print $2}'` + +# set _OEM_NASTRAN to 1 for MD Nastran build +# override _OEM_NASTRAN setting with MARC_MD_NASTRAN environment variable +_OEM_NASTRAN="${MARC_MD_NASTRAN:-0}" + +# uncomment the following line for an autoforge build +#AUTOFORGE=1 +AUTOFORGE=0 +export AUTOFORGE + +# integer size +if test "$MARC_INTEGER_SIZE" = "" ; then + INTEGER_PATH= +else + INTEGER_PATH=/$MARC_INTEGER_SIZE +fi + +FCOMP=ifort +INTELPATH="/opt/intel/compilers_and_libraries_2019/linux" + +# find the root directory of the compiler installation: +# - if ifort is found in $PATH, then the root directory is derived +# from the path to ifort +# - if ifort is not found in $PATH, the root directory is assumed +# to be $INTELPATH and the directory in which ifort is found is +# added to $PATH +FCOMPPATH=`which "$FCOMP" 2>/dev/null` +if test -n "$FCOMPPATH"; then + # derive the root directory from $FCOMPPATH + FCOMPROOT="${FCOMPPATH%/bin/intel64/$FCOMP}" + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT="${FCOMPPATH%/bin/$FCOMP}" + fi + if test "$FCOMPROOT" = "$FCOMPPATH"; then + FCOMPROOT= + fi +elif test -d "$INTELPATH"; then + # check for compiler in $INTELPATH + if test -d "$INTELPATH/bin/intel64" -a \ + -x "$INTELPATH/bin/intel64/$FCOMP" ; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin/intel64:$PATH" + elif test -d "$INTELPATH/bin" -a \ + -x "$INTELPATH/bin/$FCOMP"; then + FCOMPROOT="$INTELPATH" + PATH="$INTELPATH/bin:$PATH" + else + FCOMPROOT= + fi +else + FCOMPROOT= +fi + +# AEM +if test "$MARCDLLOUTDIR" = ""; then + DLLOUTDIR="$MARC_LIB" +else + DLLOUTDIR="$MARCDLLOUTDIR" +fi + +# settings for MKL +if test "$IMKLDIR" = ""; then + MARC_MKL="$FCOMPROOT/mkl/lib/intel64" +else + MARC_MKL=$IMKLDIR/lib/intel64 +fi + +# +# settings for Metis +# +METIS="-I$METIS_SOURCE/include" +METISLIBS="$METISLIB_DIR/libmarcddm.a $METISLIB_DIR/libmarcmetis.a " + +# +# settings for MPI +# +# RCP and RSH are used for parallel network runs +# replace with similar commands like rsh if needed +RCP=/usr/bin/scp +RSH=/usr/bin/ssh +# + + +MPI_DEFAULT=intelmpi +MPI_OTHER= + +MPITYPE=$MPI_DEFAULT + +if test $AUTOFORGE +then + if test $AUTOFORGE = 1 + then + MPITYPE=none + fi +fi + + +# overrule MPITYPE setting with environmental variable MARC_MPITYPE +if test $MARC_MPITYPE +then + MPITYPE=$MARC_MPITYPE +fi + +# always set MPITYPE to none for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + MPITYPE=none +fi + +# Edit following lines to build with GPGPU version of BCS Solver for +# NVIDIA platforms +#BCSGPUSOLVER=NONE +BCSGPUSOLVER=BCSGPU + +# Edit following lines to build solver 2 with GPU support +SOLVER2GPU=GPU +#SOLVER2GPU=NONE + +# Edit following lines to set the openssl library +if test "$OPENSSL" != "NONE" +then + OPENSSL_LIB="$MARC_LIB/libcrypto.a" +fi +OPENSSL_INCLUDE=-I"$MARC_OPENSSL/include/" + +MARCHDF_HDF=HDF +#MARCHDF_HDF=NONE + +# activate contact component build if flagged +AEM_DLL=0 +if test "$AEM_BUILD" = "ON" ; then + AEM_DLL=1 + LINK_MARC_DLL="-shared -fPIC" + EXT_DLL="so" + MPITYPE=none + MPI_OTHER= + MARCHDF_HDF=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE + MUMPSSOLVER=NONE + CASISOLVER=NONE +fi + +if test "$MARCHDF_HDF" = "HDF"; then + HDF_INCLUDE="-I$MARC_HDF/include" + HDF_LIBS="$MARC_LIB/libhdf5_fortran.so.100 $MARC_LIB/libhdf5.so.103" +fi + +SOLVERFLAGS= +if test "$BCSGPUSOLVER" = BCSGPU +then + SOLVERFLAGS="$SOLVERFLAGS -DBCSGPU -DCUDA" + BCS_DIR=bcsgpusolver +else + BCS_DIR=bcssolver +fi +# +# settings for MPI +# +DDM= +if test $MPITYPE != none +then + if test $MPITYPE = intelmpi + then + INTELMPI_VERSION=HYDRA + FCOMPMPI=mpiifort + if test -n "$MARC_INTELMPI" ; then + MPI_ROOT=$MARC_INTELMPI + else + MPI_ROOT=/opt/intel/compilers_and_libraries_2019/linux/mpi/intel64 + MARC_INTELMPI=$MPI_ROOT + fi + DDM="-I${MPI_ROOT}/include -DDDM" + PATH=$MPI_ROOT/bin:$PATH + export PATH + LD_LIBRARY_PATH=$MPI_ROOT/lib:$MPI_ROOT/lib/release:$MPI_ROOT/libfabric/lib:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + if test $INTELMPI_VERSION = HYDRA + then + RUN_JOB1="${MPI_ROOT}/bin/mpiexec.hydra -genvall -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec.hydra -genvall" + else + RUN_JOB1="${MPI_ROOT}/bin/mpiexec -n " + RUN_JOB2="${MPI_ROOT}/bin/mpiexec -configfile " + fi + RUN_JOB0= + MPI_CLEAN= + MPI_EPATH=$MARC_BIN + MPIR_HOME=$MPI_ROOT + MPICH_F77=$FCOMP + MPICH_F77LINKER=$FCOMP + export MPI_ROOT MPI_EPATH MPIR_HOME MPICH_F77 MPICH_F77LINKER + FI_PROVIDER_PATH=$MPI_ROOT/libfabric/lib/prov + export FI_PROVIDER_PATH + fi +else + MPI_ROOT=$MARC_DUMMYMPI + export MPI_ROOT=$MARC_DUMMYMPI + DDM="-I$MPI_ROOT/include" +fi + +# +# variables for the "maintain" script +# + +MACHINENAME=LINUX +MACHINE64BIT=yes +MACHINE=Linux_EM64T +DEV=/dev/tape +GETLOG="whoami" +CLEAR="clear" +MY_UNAME=`uname -a` + +# Edit following 2 lines to build with VKI Solver +#VKISOLVER=VKI +VKISOLVER=NONE + +# Edit following 2 lines to build with CASI Solver +CASISOLVER=CASI +if test "$MARC_CASISOLVER" = "NONE" ; then + CASISOLVER=NONE +fi +#CASISOLVER=NONE + +# Edit following 2 lines to build with MF2 Solver +MF2SOLVER=NONE +#MF2SOLVER=SERIAL +#MF2SOLVER=MF2PARALLEL + +# Edit following lines to build with Intel(c) Multithreaded solver (PARDISO) +#INTELSOLVER=NONE +INTELSOLVER=PARDISO + +# Edit following lines to build with MUMPS +if test "$MARC_INTEGER_SIZE" = "i4" ; then + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +else + #MUMPSSOLVER=NONE + MUMPSSOLVER=MUMPS +fi + +# Edit following 2 lines to build MARC dynamic shared library +MARC_DLL=MARC_DLL +MARC_DLL=NONE + +# always set VKISOLVER, CASISOLVER, BCSGPUSOLVER, and MARC_DLL to NONE for MD Nastran +if test "$_OEM_NASTRAN" -ne 0 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE + MARC_DLL=NONE +fi +if test "$AEM_DLL" -eq 1 +then + VKISOLVER=NONE + CASISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + MUMPSSOLVER=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE +fi + +# +# define Fortran and C compile syntax +# +if test "$VKISOLVER" = VKI +then + SOLVERFLAGS="$SOLVERFLAGS -DVKI" +fi + +if test "$CASISOLVER" = CASI +then + SOLVERFLAGS="$SOLVERFLAGS -DCASI" +fi + +if test "$MF2SOLVER" = MF2PARALLEL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2PARALLEL" +fi +if test "$MF2SOLVER" = MF2SERIAL +then + SOLVERFLAGS="$SOLVERFLAGS -DMF2SERIAL" +fi + +if test "$INTELSOLVER" = PARDISO +then + SOLVERFLAGS="$SOLVERFLAGS -DPARDISO" +fi + +if test "$MUMPSSOLVER" = MUMPS +then + SOLVERFLAGS="$SOLVERFLAGS -DMUMPS" +fi + + +if test "$MARC_DLL" = MARC_DLL +then + SOLVERFLAGS="$SOLVERFLAGS -DMARC_DLL" +fi + +if test "$SOLVER2GPU" = GPU +then + SOLVERFLAGS="$SOLVERFLAGS -DSOLVER2GPU" +fi + +LINK_OPT= +DEBUG_OPT= +C_DEBUG_OPT= + +#Uncomment following line to build Marc in debuggable mode +MARCDEBUG= +#MARCDEBUG="ON" + +if test "$MARCDEBUG" = "ON" +then + LINK_OPT="-debug -traceback" + DEBUG_OPT="-debug -traceback" + C_DEBUG_OPT="-debug -traceback" +fi + + +MARCCHECK= +#MARCCHECK="ON" +if test "$MARCCHECK" = "ON" +then + DEBUG_OPT="$DEBUG_OPT -fpe0 -fp-stack-check -check all -ftrapuv " + C_DEBUG_OPT="$C_DEBUG_OPT -fp-stack-check -check-uninit -Wformat -ftrapuv " +fi + +MARCCODECOV= +#MARCCODECOV="ON" + +MARCCODEPROF= +#MARCCODEPROF="ON" + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + I8FFLAGS= + I8DEFINES= + I8CDEFINES= +else + I8FFLAGS="-i8" + I8DEFINES="-DI64" + I8CDEFINES="-U_DOUBLE -D_SINGLE" +fi + +MTHREAD=OPENMP +if test "$MARC_OPENMP" = "NONE" ; then + MTHREAD=NONE +fi +#MTHREAD=NONE +if test "$_OEM_NASTRAN" -ne 0 +then +MTHREAD=NONE +fi +if test "$AEM_DLL" -eq 1 +then + MTHREAD=NONE + CASISOLVER=NONE + VKISOLVER=NONE + MF2SOLVER=NONE + INTELSOLVER=NONE + BCSGPUSOLVER=NONE + SOLVER2GPU=NONE + OPENSSL_LIB= + MARC_DLL=NONE + METISLIBS= +fi + +OMP_COMPAT=NO +OMP_COMPAT=YES +if test "$MTHREAD" = "NONE" +then +OMP_COMPAT=NO +fi + +CDEFINES= +FDEFINES= + +if test "$_OEM_NASTRAN" -ne 0 +then + CDEFINES="$CDEFINES -D_OEM_NASTRAN" + FDEFINES="$FDEFINES -D_OEM_NASTRAN" +fi + +FDEFINES="$FDEFINES -D_IMPLICITNONE" + +if test "$_OEM_NASTRAN" -eq 0 +then + FDEFINES="$FDEFINES -DMKL -DOPENMP" +fi + +if test "$OMP_COMPAT" = "YES" +then + FDEFINES="$FDEFINES -DOMP_COMPAT" +fi + +# -D_MSCMARC +FDEFINES="$FDEFINES -D_MSCMARC $DEBUG_OPT $MARC_SIMUFACT" +CDEFINES="$CDEFINES -D_MSCMARC $C_DEBUG_OPT $I8CDEFINES" + +if test "$AEM_DLL" -eq 1 +then + FDEFINES="$FDEFINES -D_AEMNL -DAAA" + CDEFINES="$CDEFINES -D_AEMNL -DAAA" +fi + +CINCL="-I$MARC_SOURCE/mdsrc -I$MARC_SOURCE/csource $METIS -I$LAPI_IMPORTS/common/include" +if test "$_OEM_NASTRAN" -ne 0 +then + CINCL="$CINCL -I../../include" +fi + +CC_OPT= +if test "$MTHREAD" = "OPENMP" +then + CC_OPT=" $CC_OPT -qopenmp" +fi + +CC="icc -c $CC_OPT -O1 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCLOW="icc -c $CC_OPT -O0 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +CCHIGH="icc -c $CC_OPT -O3 $I8DEFINES -DLinux -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + +if test "$MARCDEBUG" = "ON" +then + CC="icc -c $CC_OPT -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCLOW="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " + CCHIGH="icc $CC_OPT -c -DLinux $I8DEFINES -DLINUX -DLinux_intel $CDEFINES $CINCL $SOLVERFLAGS $OPENSSL_INCLUDE " +fi + +LOAD_CC="icc $CC_OPT -O1 -DLinux -DLINUX -DLinux_intel" +CCT="$CC" +CCTLOW="$CCLOW" +CCTHIGH="$CCHIGH" + +#PROFILE="-Mprof=func" +#PROFILE="-Mprof=lines" +#PROFILE="-Mprof=func,mpi" +PROFILE= +#PROFILE="-init=snan,arrays -CB -traceback -fpe0 -fp-stack-check -check all -check uninit -ftrapuv" +if test "$MARCCODECOV" = "ON" +then +PROFILE="-prof-gen=srcpos" +fi +if test "$MARCCODEPROF" = "ON" +then +PROFILE=" $PROFILE -pg" +fi + +FORT_OPT="-c -assume byterecl -safe_cray_ptr -mp1 -WB -fp-model source" +if test "$MTHREAD" = "OPENMP" +then + FORT_OPT=" $FORT_OPT -qopenmp" + if test "$OMP_COMPAT" = "YES" + then + FORT_OPT=" $FORT_OPT -qopenmp-threadprivate=compat" + fi +else +# FORT_OPT=" $FORT_OPT -auto " + FORT_OPT=" $FORT_OPT -save -zero" +fi +if test "$MARCHDF_HDF" = "HDF"; then + FORT_OPT="$FORT_OPT -DMARCHDF_HDF=$MARCHDF_HDF $HDF_INCLUDE" +fi + +FORTLOW="$FCOMP $FORT_OPT $PROFILE -O0 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTRAN="$FCOMP $FORT_OPT $PROFILE -O1 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" +FORTNA="$FCOMP $FORT_OPT -fno-alias -O3 $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +# for compiling free form f90 files. high opt, integer(4) +FORTF90="$FCOMP -c -O3" + +if test "$MARCDEBUG" = "ON" +then + FORTLOW="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTRAN="$FCOMP $FORT_OPT $PROFILE $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTHIGH="$FCOMP $FORT_OPT $PROFILE -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM $SOLVERFLAGS -I$KDTREE2_MOD" + FORTNA="$FCOMP $FORT_OPT -fno-alias $I8FFLAGS -I$MARC_SOURCE/common \ + $MUMPS_INCLUDE $I8DEFINES -DLinux -DLINUX -DLinux_intel $FDEFINES $DDM" +fi + +FORTLOWT="$FORTLOW" +FORTRANT="$FORTRAN" +FORTHIGHT="$FORTHIGH" + +FORTRANMNF="$FCOMP -c $FDEFINES " +CCMNF="icc -c -O1 -DLinux -DLINUX -DLinux_intel -Dport2egcs -I$MARC_SOURCE/marctoadams/mnf/include -D_LARGEFILE64_SOURCE" + +if test $MPITYPE != none +then + if test $MPITYPE = hpmpi + then + LOAD="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + LOADT="$MPI_ROOT/bin/$FCOMPMPI ${LOADOPTIONS} -L$MPI_ROOT/lib/$ARCHITECTURE $PROFILE $LINK_OPT -o " + fi +# Uncomment the following lines to turn on the tracer and commnet out the next 5 lines +# if test $MPITYPE = intelmpi +# then +# INCLUDEMPI="-I$MPI_ROOT/include -I$VT_ROOT/include" +# LOAD="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# LOADT="$MPI_ROOT/bin/$FCOMPMPI $PROFILE $INCLUDEMPI -g -t=log $LINK_OPT -o " +# fi + if test $MPITYPE = intelmpi + then + LOAD="ifort $PROFILE $LINK_OPT -o " + LOADT="ifort $PROFILE $LINK_OPT -o " + fi +else + LOAD="$FCOMP $LINK_OPT -o " + LOADT="$FCOMP $LINK_OPT -o " +fi + +if test "$MARC_DLL" = MARC_DLL +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide -lpthread" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + +if test "$AEM_DLL" -eq 1 +then + FORTLOW="$FORTLOW -fpp -fPIC" + FORTRAN="$FORTRAN -fpp -fPIC" + FORTHIGH="$FORTHIGH -fpp -fPIC" + FORTRANMNF="$FORTRANMNF -fpp -fPIC" + CC="$CC -fPIC" + CCMNF="$CCMNF -fPIC" + LINK_EXE_MARC="-L$MARC_LIB -lmarc -L$MARC_LIB_SHARED -lguide" + LINK_MARC_DLL="-shared -fPIC" + LOAD_DLL=$LOAD + LOADT_DLL=$LOADT + EXT_DLL="so" +fi + + +XLIBS="-L/usr/X11/lib -lX11 " + +# +# define archive and ranlib syntax +# + +ARC="ar rvl" +ARD="ar dvl" +ARX="ar xl" +RAN="" + +# +# choose which libraries you want to use ( e.g. blas ) +# + +if test "$VKISOLVER" = VKI +then + VKISOLVERLIBS="$MARC_LIB/vkisolver.a" +else + VKISOLVERLIBS= +fi + +if test "$CASISOLVER" = CASI +then + CASISOLVERLIBS="$CASILIB_DIR/libmarccasi.a $CASILIB_DIR/libcasi.a" +else + CASISOLVERLIBS= +fi + +MF2SOLVERLIBS= +if test "$MF2SOLVER" = MF2PARALLEL +then + MF2SOLVERLIBS="$MARC_LIB/mf2parallel/libseq.a \ + $MARC_LIB/mf2parallel/libsym.a \ + $MARC_LIB/mf2parallel/libmet.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libmf2.a \ + $MARC_LIB/mf2parallel/libgauss.a \ + $MARC_LIB/mf2parallel/libnum.a \ + $MARC_LIB/mf2parallel/libutl.a \ + $MARC_LIB/mf2parallel/libr8.a \ + $MARC_LIB/mf2parallel/libz.a " +fi + +if test "$MUMPSSOLVER" = MUMPS +then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps.a" + if test $MPITYPE = none + then + MUMPSSOLVERLIBS2= + echo hello > /dev/null + fi + if test $MPITYPE = intelmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a " + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a " + fi + fi + if test $MPITYPE = hpmpi + then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_hpmpi.a" + if test "$MARC_INTEGER_SIZE" = "i4" ; then + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_lp64.a" + else + MUMPSSOLVERLIBS2=" $MARC_MKL/libmkl_blacs_intelmpi_ilp64.a" + fi + fi +else + MUMPSSOLVERLIBS= + MUMPSSOLVERLIBS2= +fi + +if test "$BCSGPUSOLVER" = BCSGPU +then + BCSSOLVERLIBS="${MARC_LIB}/bcsgpulib.a " + MARCCUDALIBS1="-L${MARC_LIB}/cuda_dummy -lmarccuda " + MARCCUDALIBS2="-L${MARC_LIB}/cuda -lmarccuda " + MARCCUDALIBS=$MARCCUDALIBS1 +else + BCSSOLVERLIBS="${MARC_LIB}/bcslib.a " +fi + +SOLVER2LIBS= +if test "$SOLVER2GPU" = GPU +then + SOLVER2LIBS="-L$MARC_LIB/cuda_dummy -lsolver2gpu" +fi + +if test "$AEM_DLL" -eq 1 +then + BCSSOLVERLIBS= +fi + +if test "$MARC_INTEGER_SIZE" = "i4" ; then + MKLLIB="$MARC_MKL/libmkl_scalapack_lp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_lp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +else + MKLLIB="$MARC_MKL/libmkl_scalapack_ilp64.a -Wl,--start-group $MARC_MKL/libmkl_intel_ilp64.a $MARC_MKL/libmkl_intel_thread.a $MARC_MKL/libmkl_core.a $MUMPSSOLVERLIBS2 -Wl,--end-group" +fi + +SECLIBS="-L$MARC_LIB -llapi" + +SOLVERLIBS="${BCSSOLVERLIBS} ${VKISOLVERLIBS} ${CASISOLVERLIBS} ${MF2SOLVERLIBS} \ + $MKLLIB -L$MARC_MKL -liomp5 \ + $MARC_LIB/blas_src.a ${ACSI_LIB}/ACSI_MarcLib.a $KDTREE2_LIB/libkdtree2.a $HDF_LIBS $SOLVER2LIBS" + +SOLVERLIBS_DLL=${SOLVERLIBS} +if test "$AEM_DLL" -eq 1 +then +SOLVERLIBS_DLL="$MKLLIB -L$MARC_MKL -liomp5 $MARC_LIB/blas_src.a" +fi +MRCLIBS="$MARC_LIB/clib.a ${CASISOLVERLIBS}" +MRCLIBSPAR="$MARC_LIB/clib.a" +STUBS="$MARC_LIB/stubs.a " +MNFLIBS="$MARC_LIB/libmnf.a" +MDUSER="$MARC_LIB/md_user.a" +if test "X$MARC_SIMUFACT" != "X" +then + SFLIB="-L$SFMATDIR -lMBA_Grain" +else + SFLIB=" " +fi +OPENMP="-qopenmp" + +if test "$AEM_DLL" -eq 1 +then + LOAD_DLL=$LOAD + OPENMP= + LIBMNF= + OPENSSL=NONE +fi + +SYSLIBS=" $OPENMP -lpthread -shared-intel -cxxlib" + +# Uncomment the following lines to turn on the trace and comment out the next 4 lines +# if test $MPITYPE = intelmpi +# then +# SYSLIBS="-L${VT_ROOT}/lib -lVT -ldwarf -lelf -lm -lpthread \ +# -L${MPI_ROOT}/lib64 -lmpi -lmpiif -lmpigi -lrt" +# fi +if test $MPITYPE = intelmpi +then + SYSLIBS="-L${MPI_ROOT}/lib/release -lmpi -L${MPI_ROOT}/lib -lmpifort -lrt $OPENMP -threads -lpthread -shared-intel -cxxlib" +fi + + +SYSLIBSPAR=" " + +MARC_DLL_CODES="runmarc.f" + + +BLAS_SRC="dzero.f icopy.f izero.f" +if test "$_OEM_NASTRAN" -ne 0 +then + if test "$MARC_INTEGER_SIZE" = "i4" ; then + BLAS_SRC="$BLAS_SRC dsctr.f zsctr.f dzasum.f daxpyi.f zaxpyi.f dgthr.f zgthr.f" + else + BLAS_SRC="ALL" + fi +fi + +LOW_OPT_CODES="are163.f contro.f ndext.f omarc.f omarca.f omarcb.f omarcc.f \ + omars.f fixbc.f triang.f bet049.f norst3.f eldata.f \ + elec*.f elct*.f fmeig.f oada00.f ogeig.f updtrbe2.f cycrota.f \ + cordef.f ogpk.f ogtan.f eldam.f formrbe3.f \ + inertie.f em_sso072.f cn_fol3d_qpatch6.f cosim_begin.f" +if test "$MARC_INTEGER_SIZE" = "i8" ; then + LOW_OPT_CODES="$LOW_OPT_CODES bbcseg.f" +fi + +HIGH_OPT_CODES="dpsmsa1.f dpsmsa2.f dpsmsa3.f dpsmsa4.f dpsmsa5.f dpsmsa6.f \ + dpsmsa7.f dpsmsa8.f dpsmsa9.f dpsmsa10.f dpsmsa11.f dpsmsa12.f \ + dpsmsa13.f dpsmsa14.f dpsmsa15.f dpsmsa16.f dpsmsah.f tpsmsah.f cn_qsort4_11.f \ + prei11.f prei12.f prei31.f prei32.f prei41.f prei42.f prei61.f prei62.f \ + prei1n.f prei2n.f cgfullnts1.f cgfullnts2.f cg1n.f cg2n.f cg3n.f \ + cg4n.f cg5n.f cg6n.f cgnn.f sortab.f sortab1.f triann1.f preinv_nts.f \ + cn_sur_patchl.f cn_quad_3e.f" + + + +MAXNUM=1000000 diff --git a/installation/mods_MarcMentat/2020/Marc_tools/run_damask_hmp b/installation/mods_MarcMentat/2020/Marc_tools/run_damask_hmp new file mode 100644 index 000000000..2b7641304 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/run_damask_hmp @@ -0,0 +1,4130 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + + +# getting user subroutine file name +found=0 +for i in "$@"; do + if test $found = 1; then + DAMASK_USER=$i + found=0 + fi + case $i in + -u* | -U*) + found=1 + ;; + esac +done +# sourcing include_linux64 (needs DAMASK_USER to be set) +. $MARC_INCLUDE + +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usernoext= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +oversubscribe=false +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_OTHER $MPI_DEFAULT" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi + +# oversubscribe case +if test $nprocd -gt $(/usr/bin/nproc); then + if test "$ALLOWMPIOVERSUBSCRIBE" != "true"; then + error="$error + The requested number of domains ($nprocd) is larger than the number + of processors ($(/usr/bin/nproc)). As such an oversubscription may result in + very poor performance, the analysis will not be started. + Running an analysis in case of oversubscription can be forced + by defining an environment variable \"ALLOWMPIOVERSUBSCRIBE\" + with the value \"true\"." + oversubscribe=true + fi +fi + +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + if test ! -f $user + then + error="$error +user subroutine file $user not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER $MPI_DEFAULT)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" +fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($user)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + if test "$deletelog" = no -a $oversubscribe = true + then + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# +# add DAMASK options for linking + DAMASK="-lstdc++" + + if test "$user" + then + program=$usernoext.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$usernoext.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$usermoext.o + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test $MACHINENAME = "CRAY" + then + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTHIGHMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_hmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTHIGHMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_hmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTHIGHMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTHIGHMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + $RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2020/Marc_tools/run_damask_lmp b/installation/mods_MarcMentat/2020/Marc_tools/run_damask_lmp new file mode 100644 index 000000000..cc6181325 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/run_damask_lmp @@ -0,0 +1,4130 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + + +# getting user subroutine file name +found=0 +for i in "$@"; do + if test $found = 1; then + DAMASK_USER=$i + found=0 + fi + case $i in + -u* | -U*) + found=1 + ;; + esac +done +# sourcing include_linux64 (needs DAMASK_USER to be set) +. $MARC_INCLUDE + +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usernoext= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +oversubscribe=false +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_OTHER $MPI_DEFAULT" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi + +# oversubscribe case +if test $nprocd -gt $(/usr/bin/nproc); then + if test "$ALLOWMPIOVERSUBSCRIBE" != "true"; then + error="$error + The requested number of domains ($nprocd) is larger than the number + of processors ($(/usr/bin/nproc)). As such an oversubscription may result in + very poor performance, the analysis will not be started. + Running an analysis in case of oversubscription can be forced + by defining an environment variable \"ALLOWMPIOVERSUBSCRIBE\" + with the value \"true\"." + oversubscribe=true + fi +fi + +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + if test ! -f $user + then + error="$error +user subroutine file $user not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER $MPI_DEFAULT)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" +fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($user)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + if test "$deletelog" = no -a $oversubscribe = true + then + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# +# add DAMASK options for linking + DAMASK="-lstdc++" + + if test "$user" + then + program=$usernoext.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$usernoext.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$usermoext.o + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test $MACHINENAME = "CRAY" + then + $DFORTLOWMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTLOWMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_lmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTLOWMP $user || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTLOWMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_lmp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTLOWMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTLOWMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + $RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2020/Marc_tools/run_damask_mp b/installation/mods_MarcMentat/2020/Marc_tools/run_damask_mp new file mode 100644 index 000000000..2944bfe96 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/run_damask_mp @@ -0,0 +1,4130 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + + +# getting user subroutine file name +found=0 +for i in "$@"; do + if test $found = 1; then + DAMASK_USER=$i + found=0 + fi + case $i in + -u* | -U*) + found=1 + ;; + esac +done +# sourcing include_linux64 (needs DAMASK_USER to be set) +. $MARC_INCLUDE + +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usernoext= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +oversubscribe=false +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_OTHER $MPI_DEFAULT" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi + +# oversubscribe case +if test $nprocd -gt $(/usr/bin/nproc); then + if test "$ALLOWMPIOVERSUBSCRIBE" != "true"; then + error="$error + The requested number of domains ($nprocd) is larger than the number + of processors ($(/usr/bin/nproc)). As such an oversubscription may result in + very poor performance, the analysis will not be started. + Running an analysis in case of oversubscription can be forced + by defining an environment variable \"ALLOWMPIOVERSUBSCRIBE\" + with the value \"true\"." + oversubscribe=true + fi +fi + +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + if test ! -f $user + then + error="$error +user subroutine file $user not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER $MPI_DEFAULT)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" +fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $user +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($user)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=$value + case $user in + \/*) + ;; + *) + user=`pwd`/$user + ;; + esac + usernoext=$user + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .F` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .for` + usernoext=`dirname $usernoext`/`$BASENAME $usernoext .f90` + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + if test "$deletelog" = no -a $oversubscribe = true + then + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# +# add DAMASK options for linking + DAMASK="-lstdc++" + + if test "$user" + then + program=$usernoext.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$usernoext.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$usermoext.o + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test $MACHINENAME = "CRAY" + then + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTRANMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_mp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTRANMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_damask_mp $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user on host `hostname`" + fi + userobj=$usernoext.o + if test $MACHINENAME = "CRAY" + then + $DFORTRANMP $user || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $DFORTRANMP $user -o $userobj || \ + { + echo "$0: compile failed for $user" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $DAMASK \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null +/bin/rm $DIRJOB/*.mod 2>/dev/null +/bin/rm $DIRJOB/*.smod 2>/dev/null +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + $RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi +fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=$usernoext + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2020/Marc_tools/run_marc.original b/installation/mods_MarcMentat/2020/Marc_tools/run_marc.original new file mode 100644 index 000000000..7f3f94730 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Marc_tools/run_marc.original @@ -0,0 +1,4208 @@ +#!/bin/ksh +############################################################################## +# # +# run_marc - run a marc job # +# ------------------------- # +# # +# usage: run_marc -j jid { options } # +# # +# where standard options are: required: defaults: # +# -------------------------- # +# # +# -j* jid job id number. ** YES ** . # +# -pr* prog program name. . marc # +# -v* y|n do or do not verify inputs. . yes # +# -q* s|l|v|b|f batch queue name or background, . short # +# foreground. # +# -b* as alternative to option -q* # +# # +# ( batch queues only : # +# -pq* intra queue priority. . . # +# -at DATE/TIME delay start of job. . . # +# format : January,1,1990,12:31 # +# or : today,5pm # +# -cpu* secs job CPU limit . . ) # +# # +# -r* rid restart file job id. . . # +# -si* sid substructure file id. . . # +# -pi* post post file job id. . . # +# -de* did defaults file . no # +# -vf vid viewfactor . no # +# # +# -u* user user subroutine. . . # +# -obj obj user objects or libraries. . . # +# -sa* y|n do or do not save load module. . no # +# -me manual remeshing control . no # +# -ml memory limit in Mbyte # +# -mo This option is deprecated. As of Marc 2015, only # +# the integer*8 version is available. # +# -mpi selects MPI version # +# each platform has a default MPI version and some # +# have an alternative version. see the include file # +# for the respective platform # +# MPI_DEFAULT defines the default MPI version # +# MPI_OTHER defines versions one can switch to # +# -dcoup for contact decoupling # +# currently not supported # +# -dir directory where the job i/o should take place. # +# defaults to current directory. # +# -sdir directory where scratch files are created # +# defaults to current directory. # +# # +# -alloc only perform memory allocation test, no analysis # +# -list y only list options in the input file, no analysis # +# -fe num set feature number "num" for the run. only one allowed # +# -dytran flag to switch from Dytran to Marc # +# dytran = 0, program will run w/o Marc-Dytran Switch # +# = 1, program will restart Marc after Dytran run # +# >= 2, Not supported yet. # +# currently not supported # +# -ou force analysis to use out-of-core control # +# =0, not used # +# =1, element storage out-of-core # +# -dll run marc using shared library libmarc.so and exe_marc # +# =1, used # +# =2, do not free streaming input memory # +# =3, run with marc input deck # +# -trk run marc for post-tracking # +# -gpuid run marc using GPGPU capability # +# specify gpuid on to be used in the analysis. Multiple # +# IDs may be assigned for DDM runs. # +# Separate a list of IDs with a colon. Each DMP # +# process will be assigned a GPU ID in round robin fastion# +# = 0 # +# = 0:1 etc... # +# # +# where parallel options are: # +# -------------------------- # +# # +# itree, host, and comp options are available for the domain # +# decomposition only. # +# MARC_NUMBER_OF_THREADS, nthread, and dir options always available. # +# # +# # +# -nprocd number of domains. # +# defaults to single domain solution. # +# -nprocds number of domains if single input file. # +# defaults to single domain solution. # +# -nps same as -nprocds. # +# -nsolver number of solver tasks for solver types 12 and 13 # +# these are distributed tasks operating via MPI # +# -nthread_elem number of threads for element assembly and recovery # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by element assembly # +# recovery. # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_elem option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_elem specified. # +# -nthread_solver number of threads for solver types 6, 8, and 11 # +# = 0: use defaults. # +# defaults to 1 for single domain solution. # +# defaults to number of domains for multi-domain # +# solution. # +# > 1: number of threads to be used by 6, 8, and 11 # +# Also can be set through MARC_NUMBER_OF_THREADS # +# environment variable. # +# if both specified, -nthread_solver option will be used. # +# defaults if neither MARC_NUMBER_OF_THREADS environment # +# variable set nor -nthread_solver specified. # +# -nthread Same as -nthread_solver. # +# -itree message passing tree type for domain decomposition. # +# for debugging purposes; should not normally be used. # +# -host hostfile name for distributed execution on network. # +# defaults to no hostfile, unless jobid.defhost exists. # +# if jobid.defhost exists, only -np(s) necessary # +# -comp* y|n to be used with user routines on a network of # +# incompatible machines. # +# if set to no, a separate executable will be created # +# for each machine on the network. # +# if set to yes, the executable located on the machine # +# from which marc is started will be used on all machines.# +# defaults to no if O/S versions different on machines. # +# # +# -ci y|n copy input files to remote hosts (default: yes) # +# if "yes", input files are automatically copied to # +# remote hosts for a network run if necessary. # +# -cr y|n copy post files from remote hosts (default: yes) # +# if "yes", post files are automatically copied back from # +# remote hosts for a network run if necessary. # +############################################################################## +# set DIR to the directory in which this script is +REALCOM="`/bin/ls -l $0 |awk '{ print $NF; }'`" +DIR=`dirname $REALCOM` +# make sure DIR has an absolute path +case $DIR in + \/*) + ;; + *) + DIR=`pwd`/$DIR + ;; +esac +DIRSCRIPT=$DIR +AWK=awk +ARCH=`uname -a | cut -f 1 -d " "` +# Sun has a bad awk, use nawk instead +if test $ARCH = "SunOS" +then + AWK=nawk +fi +BASENAME=basename +# Sun has an incorrect /bin/basename, check if /usr/ucb/basename exists +if test $ARCH = "SunOS" +then + if test -x /usr/ucb/basename + then + BASENAME=/usr/ucb/basename + fi +fi + +# echo command line in the case of ECHO_COMMAND is true +if test "$ECHO_COMMAND" = true ; then + echo command "$0" "$@" +fi + +# +# "mode" selects version, i4 or i8 +# default is i4 +# this can be changed by a file run_marc_defaults +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MODE i8 +# it can also be set by the environmental variable MARC_INTEGER_SIZE +# and by the command line option "-mo" +# +mode= +modeerror= +modeoption= +if test -f $DIRSCRIPT/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $DIRSCRIPT/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $DIRSCRIPT/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $DIRSCRIPT/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -f $HOME/run_marc_defaults; then + line=`$AWK '{if ($1 == "MARC_MODE") {print $1}}' $HOME/run_marc_defaults` + if test "$line" = "MARC_MODE"; then + echo + echo warning: the option MARC_MODE is deprecated, as of Marc 2015, only the integer*8 version is available + echo + line= + fi + line=`$AWK '{if ($1 == "MARC_MODE") {print $2}}' $HOME/run_marc_defaults` + line=`echo $line | $AWK '{print $NF}'` + if test "$line" = "i4"; then + modeerror="defaults file $HOME/run_marc_defaults used mode $line ; this must be i8" + modeoption=error + echo $modeerror + fi + if test "$line" = "i8"; then + mode=i8 + fi +fi +if test -n "$MARC_INTEGER_SIZE" ; then + mode=$MARC_INTEGER_SIZE +fi +if test -z "$mode" ; then + mode=i8 +fi +case $mode in + i4) + modeerror="bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + modeoption=error + echo $modeerror + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo "bad value for MARC_INTEGER_SIZE variable; only i8 is supported." + exit + ;; +esac + +setmode=false +for arg in $* ; do + if $setmode ; then + mode=$arg + case $mode in + i4) + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + ;; + i8) + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + ;; + *) + echo " " + echo "error, version mode must be i8" + echo " " + echo " use -mo i8 " + echo " " + exit + ;; + esac + setmode=false + fi + if [ ${arg}X = -moX -o ${arg}X = -MOX ] ; then + echo + echo warning: the option -mo is deprecated, as of Marc 2015, only the integer*8 version is available + echo + setmode=true + fi + if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + MARC_INTEGER_SIZE=i8 + export MARC_INTEGER_SIZE + fi + if [ ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + modeerror="bad value for mode option; only i8 is supported." + modeoption=error + echo + echo $modeerror + echo + fi +done + +# set to i4 version for 32 bit Linux +if test "`uname -s`" = "Linux"; then + if test "`uname -m`" = "i686"; then + mode=i4 + MARC_INTEGER_SIZE=i4 + export MARC_INTEGER_SIZE + fi +fi + + +. "$DIR/getarch" + +. $MARC_INCLUDE +# + +# +# Dynamically determine the echo syntax +# + +case "`echo '\c'`" in + '\c') + ECHO='echo -n' + ECHOTXT=' ' + ;; + *) + ECHO='echo' + ECHOTXT=' \c' + ;; +esac + +# +# Variables for the MARC environment +# + +PRODUCT="Marc" +EXITMSG=$MARC_TOOLS/MESSAGES +export EXITMSG +FLEXDIR=$DIR/../flexlm/licenses +export FLEXDIR +TIMCHK=3600 +export TIMCHK +BINDIR=$MARC_BIN +export BINDIR +AFMATDAT=$MARC_RUNTIME/AF_flowmat/ +export AFMATDAT +export MESHERDIR +MSC_LICENSE_FINPROC=0 +export MSC_LICENSE_FINPROC +# +# define directory path to global unified material database +# +MATFILE= +export MATFILE + +# +# define memory limit +# first set to MEMLIMIT from include +# -ml option overrules if specified +memlimit=$MEMLIMIT +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +# +if test $MACHINENAME = "HP" +then + SHLIB_PATH=$MARC_LIB:$MARC_LIB_SHARED:$SHLIB_PATH + export SHLIB_PATH +fi +# the one for IBM is defined futher down + +LD_LIBRARY_PATH=$MARC_LIB_SHARED:$LD_LIBRARY_PATH:$SFMATDIR +if test -f "/etc/redhat-release"; then + ver=`cat /etc/redhat-release | sed 's/.* release \([0-9]\).\([0-9]\+\) .*/\1\2/'` + case "$ver" in + 6*) LD_LIBRARY_PATH="${MARC_LIB_SHARED}rh67:$LD_LIBRARY_PATH" ;; + esac +fi +LD_LIBRARY_PATH=$MARC_LIB:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$MESHERDIR:$LD_LIBRARY_PATH +LD_LIBRARY_PATH=$LD_LIBRARY_PATH +LD_LIBRARY64_PATH=$MARC_LIB:$LD_LIBRARY64_PATH +LD_LIBRARYN32_PATH=$MARC_LIB:$LD_LIBRARYN32_PATH +export LD_LIBRARY_PATH +export LD_LIBRARY64_PATH +export LD_LIBRARYN32_PATH + +atexit() { +kill -15 $$ +# +if test $MPITYPE = "myrinet" +then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi +fi +} + +trap "atexit" 2 + +# +# defaults +# + +prog=marc +exefile=marc +jid= +rid= +pid= +sid= +did= +vid= +user= +usersubname= +objs= +qid=background +cpu= +priority= +att= +trk= +verify=yes +prgsav=no +rmdll=no +cpdll=no +progdll= +pathdll= +error= +nprocd=0 +nprocdddm=1 +nprocdddmprint= +icreated=0 +nprocdarg= +nsolver=0 +nsolverarg=-ns +if test $nprocds +then + if test $nprocds -gt 1 + then + nprocdddm=$nprocds + nprocdddmprint=$nprocds + icreated=1 + nprocdarg=-nprocds + fi +fi +ntprint=0 +nt=-1 +nte=-1 +nts=-1 +ntarg=-nt +ntearg=-nte +ntsarg=-nts +nteprint= +ntsprint= +oversubscribe=false +gpuids= +nauto= +ndcoup=0 +ndytran=0 +noutcore=0 +dllrun=0 +mesh=0 +itree=0 +iam= +ddm_arc=0 +link= +trkrun=0 +DIRJOB=`pwd` +DIRSCR=$DIRJOB +DIRSCRSET= +autoforge=0 +dotdat=.dat +dotdefhost=.defhost +host= +numhost= +mfile= +userhost= +makebdf= +cpinput=yes +cpresults=yes +marcdll=libmarc.$EXT_DLL +# define hostname and strip off extensions (alpha.aaa.com) +thishost=`hostname` +thishost=${thishost%%.*} +compatible=unknown +numfield=1 +justlist= +feature= +mpioption=false +iprintsimufact= +SRCLIB=$MARC_LIB/srclib.a +MDSRCLIB=$MARC_LIB/mdsrc.a +# +# check run_marc_defaults file for default MPI setting +# located in the tools directory of the Marc installation +# or in the user's home directory +# format: +# MARC_MPI +# +value= +file= +if test -f $DIRSCRIPT/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $DIRSCRIPT/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$DIRSCRIPT/run_marc_defaults + fi +fi +if test -f $HOME/run_marc_defaults; then + value=`$AWK '{if ($1 == "MARC_MPI") {print $2}}' $HOME/run_marc_defaults` + value=`echo $value | $AWK '{print $NF}'` + if test -n "$value"; then + file=$HOME/run_marc_defaults + fi +fi +if test -n "$value"; then + MARC_MPITYPE=$value + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + echo " " + echo " error, incorrect option for MARC_MPI" + echo " defined in $file: $MARC_MPITYPE" + echo " valid options: $MPI_OTHER $MPI_DEFAULT" + echo " " + exit + fi + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + fi +fi +# +# +# allow scratch directory to be specified with environmental variable +# MARCSCRATCH +if test $MARCSCRATCH +then + if test -d $MARCSCRATCH + then + DIRSCR=$MARCSCRATCH + else + echo "error, scratch directory '$MARCSCRATCH'" + echo " specified via environmental variable MARCSCRATCH does not exist" + exit + fi +fi +# +############################################################################## +# parse input - arguments always come in pairs # +############################################################################## + +arg=$1 +if [ ${arg}X = -i8X -o ${arg}X = -I8X ] ; then + shift + arg=$1 +fi +while [ -n "$arg" ] +do + shift + value=$1 + case $arg in + -al* | -AL*) + LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + export LD_LIBRARY_PATH + $MARC_BIN/marc -alloc 1 + exit + ;; + -li* | -LI*) + justlist=yes + ;; + -fe* | -FE*) + feature=$value + + ;; + -pr* | -PR*) + if test `dirname $value` = '.' + then + prog=`$BASENAME $value .marc` + progdll=`$BASENAME $value` + else + prog=`dirname $value`/`$BASENAME $value .marc` + progdll=`dirname $value`/`$BASENAME $value` + fi + prdir=`dirname $value` + case $prdir in + \/*) + ;; + *) + prog=`pwd`/$prdir/$prog + ;; + esac + ;; + -j* | -J*) + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + ;; + -r* | -R*) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + -si* | -SI*) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + -pi* | -PI*) + if test -f $value.t19 + then + pid=`$BASENAME $value .t19` + else + pid=`$BASENAME $value .t16` + fi + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + -bdf | -BDF) + makebdf=1 + ;; + -de* | -DE*) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + -vf | -VF) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + -u* | -U*) + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user + basefile=`$BASENAME $value` + if test ${basefile##*.} = f + then + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user.f + elif test ${basefile##*.} = F + then + user=`dirname $value`/`$BASENAME $value .F` + usersubname=$user.F + elif test ${basefile##*.} = f90 + then + user=`dirname $value`/`$BASENAME $value .f90` + usersubname=$user.f90 + elif test ${basefile##*.} = F90 + then + user=`dirname $value`/`$BASENAME $value .F90` + usersubname=$user.F90 + fi + case $user in + \/*) + ;; + *) + user=`pwd`/$user + usersubname=`pwd`/$usersubname + ;; + esac + if test ! -f $usersubname + then + if test -f $usersubname.f + then + usersubname=$usersubname.f + elif test -f $usersubname.F + then + usersubname=$usersubname.F + elif test -f $usersubname.f90 + then + usersubname=$usersubname.f90 + elif test -f $usersubname.F90 + then + usersubname=$usersubname.F90 + fi + fi + ;; + -obj | -OBJ) + objs="$value" + ;; + -q* | -Q*) + qid=$value + ;; + -b* | -B*) + case $value in + y* | Y*) + qid=background + ;; + n* | N*) + qid=foreground + ;; + *) + ;; + esac + ;; + -at | -AT) + att=$value + ;; + -cpu* | -CPU*) + cpu=$value + ;; + -pq | -PQ*) + priority=$value + ;; + -v* | -V*) + verify=$value + ;; + -sa* | -SA*) + prgsav=$value + ;; + -np* | -NP*) + nprocdddm=$value + nprocdddmprint=$value + case $arg in + -nps* | -NPS* | -nprocds* | -NPROCDS*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + case $arg in + -np | -NP | -nprocd | -NPROCD) + icreated=0 + nprocdarg=-nprocd + ;; + esac + ;; + -ns* | -NS*) + nsolver=$value + ;; + -nt* | -NT*) + case $arg in + -nte | -NTE | -nthread_e* | -NTHREAD_E*) + nte=$value + ;; + esac + case $arg in + -nts | -NTS | -nthread_s* | -NTHREAD_S*) + nts=$value + ;; + esac + case $arg in + -nt | -NT | -nth* | -NTH* | -nthread* | -NTHREAD*) + nt=$value + ;; + esac + ;; + -gp* | -GP*) + gpuids=$value + ;; + -it* | -IT*) + itree=$value + ;; + -iam | -IAM) + iam=$value + case $value in + sfg | sfm | sim) + iprintsimufact=true + ;; + esac + ;; + -au* | -AU*) + nauto=$value + echo + echo warning: the option -au is no longer supported and will be ignored + echo + ;; + -dc* | -DC*) + ndcoup=$value + ;; + -dy* | -DY*) + ndytran=$value + ;; + -ou* | -OU*) + noutcore=$value + ;; + -dll | -DLL) + dllrun=$value + ;; + -trk | -TRK) + trkrun=$value + ;; + -ddm | -DDM) + ddm_arc=$value + ;; + -me | -ME ) + mesh=$value + ;; + -ml | -ML ) + memlimit=$value + ;; + -mo | -MO ) + ;; + -mpi | -MPI ) + mpioption=true + MARC_MPITYPE=$value + if test "$value" != "$MPI_DEFAULT"; then + exefile=marc_$value + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a_$value + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_$value.a" + fi + else + exefile=marc + . $MARC_INCLUDE + MDSRCLIB=$MARC_LIB/mdsrc.a + if test "$MUMPSSOLVER" = MUMPS; then + MUMPSSOLVERLIBS="$MUMPSLIB_DIR/libmumps_intelmpi.a" + fi + fi + ;; + -dir* | -DIR*) + DIRJOB=$value + case $DIRJOB in + \/*) + ;; + *) + DIRJOB=`pwd`/$DIRJOB + ;; + esac + if test -z "$DIRSCRSET" + then + DIRSCR=$DIRJOB + fi + ;; + -sd* | -SD*) + DIRSCR=$value + DIRSCRSET=yes + case $DIRSCR in + \/*) + ;; + *) + DIRSCR=`pwd`/$DIRSCR + ;; + esac + ;; + -ho* | -HO*) + host=$value + ;; + -co* | -CO*) + compatible=$value + ;; + -ci* | -CI*) + cpinput=$value + ;; + -cr* | -CR*) + cpresults=$value + ;; + *) + error="$error +$arg: invalid option" + break + ;; + esac + case $value in + -*) + error="$error +$arg: invalid name $value" + break + ;; + esac + shift + arg=$1 + if [ ${arg}X = -i8X -o ${arg}X = -I8X -o ${arg}X = -i4X -o ${arg}X = -I4X ] ; then + shift + arg=$1 + fi +done +argc=`expr $# % 2` +if test $argc -eq 1 +then +# +# odd number of arguments +# + error="$error +argument list incomplete" +fi + +if test $nprocdddm -gt 0 +then +nprocd=$nprocdddm +fi + +if test $nsolver -gt 0 +then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi +fi + +# oversubscribe case +if test $nprocd -gt $(/usr/bin/nproc); then + if test "$ALLOWMPIOVERSUBSCRIBE" != "true"; then + error="$error + The requested number of domains ($nprocd) is larger than the number + of processors ($(/usr/bin/nproc)). As such an oversubscription may result in + very poor performance, the analysis will not be started. + Running an analysis in case of oversubscription can be forced + by defining an environment variable \"ALLOWMPIOVERSUBSCRIBE\" + with the value \"true\"." + oversubscribe=true + fi +fi + +# Set defaults +if test $nt -eq -1 +then +nt=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nt -lt 0 +then +nt=0 +fi +if test $nte -eq -1 +then +nte=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nte -lt 0 +then +nte=0 +fi +if test $nts -eq -1 +then +nts=${MARC_NUMBER_OF_THREADS:-0} +fi +if test $nts -lt 0 +then +nts=0 +fi +# +# set number of element loop threads +# +ntprint=$nt +nteprint=$nte +# copy from -nprocd[s] +if test $nprocdddm -gt 1 +then + nteprint=$nprocdddm +fi +# override with -nthread_elem option +if test $nte -ne 0 +then +nteprint=$nte +fi +# check for minimum 1 threads per processes for DDM +if test $nprocdddm -gt 1 +then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi +fi +nte=$nteprint +# +# set number of Solver threads +# +ntsprint=$nts +# copy from -nthread or -nprocd[s] +if test $ntprint -ne 0 +then + ntsprint=$ntprint +else + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +fi +# override with -nthread_solver option +if test $nts -ne 0 +then + ntsprint=$nts +fi +# check for minimum 1 threads per solver process. +if test $nsolver -lt $nprocdddm +then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi +else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi +fi +if test $ntsprint -eq 1 +then + set ntsprint=0 +fi +nts=$ntsprint + +# set stack size for multi-threading. +export KMP_MONITOR_STACKSIZE=7M +export OMP_STACKSIZE=7M + +# +# deprecate -nthread option at arugment of marc +nt=0 +# Reset nprocdddmm, nsolver and threads if not given. +if test $nprocdddm -eq 0 +then + nprocdarg= +fi +if test $nprocdddm -eq 0 +then + nprocdddmprint= +fi +if test $nprocdddm -eq 0 +then + nprocdddm= +fi + +nsolverprint=$nsolver +if test $nsolver -eq 0 +then + nsolverprint= +fi +# end of threads setting. +gpuoption= +if test "$gpuids" = "" ; then + gpuoption= +else + gpuoption="-gp $gpuids" +fi + +if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH +else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH +fi +# Linux 64 + HPMPI, Below code is taken from include_linux64 +if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" +then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" +fi +if test "$iam" = sim ; then + SFLIB="-L$SFMATDIR -lMBA_Grain" +fi + +if test $nprocd -gt 1; then + if test -f $jid$dotdefhost; then + if test "$host" = ""; then + host=$jid$dotdefhost + fi + fi + if test -f hostfile_qa_$nprocd; then + if test "$host" = ""; then + host=hostfile_qa_$nprocd + fi + fi +fi + +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$dllrun" -eq 1 || test "$dllrun" -eq 2; then + dotdat=.inp + fi + + if test "$progdll"; then + /bin/cp ${progdll}_$marcdll $DIRJOB/$marcdll + rmdll=yes + pathdll=yes + progdll=${progdll}_$marcdll + else + progdll=$marcdll + fi + + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + pathdll=yes + fi +fi + +############################################################################## +# check parameter validity # +############################################################################## + +while test forever; do + +# +# check for input file existence +# +if test $nprocdddm -gt 1 -a $icreated -eq 0; then + if test ! -f $DIRJID/1$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/1$jid$dotdat not accessible" + fi + fi +else + if test ! -f $DIRJID/$jid$dotdat; then + if test "$jid" != "" ; then + error="$error +input file $DIRJID/$jid$dotdat not accessible" + fi + fi +fi + if test $nprocd -gt 1; then + if test "$host" ; then + if test ! -f $host; then + error="$error +host name file $host not accessible" + fi + fi + fi + +# +# check if the job is already running in the background +# +if test -f $DIRJOB/$jid.pid; then + error="$error +job is already running (the file $jid.pid exists)" +fi + +# +# if the program name is other than marc, then +# assume that this is a program in the users local directory +# + +bd=$MARC_BIN/ + +case $prog in + marc | MARC | $exefile) + program=$exefile + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 or $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$usersubname" + then + if test ! -f $usersubname + then + error="$error +user subroutine file $usersubname not accessible" + fi + fi + if test "$objs" + then + missingobjs= + for o in $objs + do + if test ! -f "$o" + then + if test -z "$missingobjs" + then + missingobjs="$o" + else + missingobjs="$missingobjs $o" + fi + fi + done + if test -n "$missingobjs" + then + error="$error +user object/library file(s) $missingobjs not accessible" + fi + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$vid" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRVID/1$vid.vfs + then + error="$error +view factor file $DIRVID/1$vid.vfs not accessible" + fi + else + if test ! -f $DIRVID/$vid.vfs + then + error="$error +view factor file $DIRVID/$vid.vfs not accessible" + fi + fi + fi + if $mpioption + then + notok=true + for i in "$MPI_OTHER"; do + if test "$MARC_MPITYPE" = "$i"; then + notok=false + fi + done + if test "$MARC_MPITYPE" = "$MPI_DEFAULT"; then + notok=false + fi + if $notok; then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE (valid: $MPI_OTHER $MPI_DEFAULT)" + fi + fi + ;; + *) + program=$prog.marc + case $prog in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + if test "$rid" + then + if test ! -f $DIRRID/$rid.t08 + then + error="$error +restart file $DIRRID/$rid.t08 not accessible" + fi + fi + if test "$pid" + then + if test ! -f $DIRPID/$pid.t16 + then + if test ! -f $DIRPID/$pid.t19 + then + error="$error +post file $DIRPID/$pid.t16 and $DIRPID/$pid.t19 not accessible" + fi + fi + fi + if test "$user" + then + error="$error +program option may not be used with user subroutine" + fi + if test "$objs" + then + error="$error +program option may not be used with user objects or libraries" + fi + if test "$did" + then + if test $nprocdddm -gt 1 -a $icreated -eq 0 + then + if test ! -f $DIRDID/1$did$dotdat + then + error="$error +defaults file $DIRDID/1$did$dotdat not accessible" + fi + else + if test ! -f $DIRDID/$did$dotdat + then + error="$error +defaults file $DIRDID/$did$dotdat not accessible" + fi + fi + fi + if test "$ndcoup" + then + if test $ndcoup -gt 3 + then + error="$error +incorrect option for contact decoupling " + fi + fi + if test "$ndytran" + then + if test $ndytran -gt 1 + then + error="$error +incorrect option for Marc-Dytran Switch " + fi + fi + if $mpioption + then + if test ! -x $MARC_BIN/$exefile + then + error="$error +incorrect option for -mpi option: $MARC_MPITYPE " + fi + fi + ;; +esac + +############################################################################## +# check argument integrity # +############################################################################## + +if test "$jid" +then + : +else + if test "$user" + then +# allow user sub without giving job id + qid=foreground + verify=no + else + error="$error +job id required" + fi +fi + +case $qid in + S* | s*) + qid=short + ;; + L* | l*) + qid=long + ;; + V* | v*) + qid=verylong + ;; + B* | b*) + qid=background + ;; + F* | f*) + qid=foreground + ;; + A* | a*) + qid=at + ;; + *) + error="$error +bad value for queue_id option" + ;; +esac + +case $prgsav in + N* | n*) + prgsav=no + ;; + Y* | y*) + prgsav=yes + ;; + *) + error="$error +bad value for save option" + ;; +esac + +case $verify in + N* | n*) + verify=no + ;; + Y* | y*) + verify=yes + ;; + *) + error="$error +bad value for verify option" + ;; +esac + +case $nprocdddm in + -* ) + error="$error +bad value for nprocd option" + ;; +esac + +case $nt in + -* ) + error="$error +bad value for nt option" + ;; +esac + +case $itree in + -* ) + error="$error +bad value for itree option" + ;; +esac +case $iam in + -* ) + error="$error +bad value for iam option" + ;; +esac +case $compatible in + N* | n*) + compatible=no + ;; + Y* | y*) + compatible=yes + ;; + unknown) + ;; + *) + error="$error +bad value for comp option" + ;; +esac +case $cpinput in + N* | n*) + cpinput=no + ;; + Y* | y*) + cpinput=yes + ;; + *) + error="$error +bad value for copy input option" + ;; +esac +case $cpresults in + N* | n*) + cpresults=no + ;; + Y* | y*) + cpresults=yes + ;; + *) + error="$error +bad value for copy results option" + ;; +esac + +# +# check for external file to run +# +if test -f $MARC_TOOLS/run_marc_check +then + . $MARC_TOOLS/run_marc_check +fi + +############################################################################## +# interact with the user to get the required information to run marc or # +# other marc system program # +############################################################################## + +deletelog=yes +if test $qid = background -a $verify = no +then +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $usersubname +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint +GPGPU option : $gpuids +Host file name : $host" > $jid.log +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" >> $jid.log +fi +echo \ +"Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" >> $jid.log +deletelog=no +fi +echo \ +" +Program name : $prog +Marc shared lib : $progdll +Version type : $mode +Job ID : $DIRJID/$jid +User subroutine name : $usersubname +User objects/libs : $objs +Restart file job ID : $rid +Substructure file ID : $sid +Post file job ID : $pid +Defaults file ID : $did +View Factor file ID : $vid +Save generated module: $prgsav +MPI library : $MPITYPE +DDM processes : $nprocdddmprint +Element loop threads : $nteprint +Solver processes : $nsolverprint +Solver threads : $ntsprint" +if test "$iprintsimufact" = true ; then + echo "DDM with ARC Mapper : $ddm_arc" +fi +echo \ +"GPGPU option : $gpuids +Host file name : $host +Message passing type : $itree +Run job in queue : $qid +Run directory : $DIRJOB +Scratch directory : $DIRSCR +Memory limit in Mbyte: $memlimit" + + +case $qid in + s* | S* | l* | L* | v* | V* ) + echo \ +"Queue priority : $priority +Queue CPU limit : $cpu +Queue start time : $att" + ;; +# * ) +# echo \ +#" " +# ;; +esac + +if test "$modeoption" +then + error=$modeerror +fi + +if test "$error" +then + if test $verify = yes + then + $ECHO "$error + +Please correct or quit(correct,quit,): $ECHOTXT" + error= + read answer + case $answer in + q* | Q*) + answer=quit + ;; + *) + answer=correct + ;; + esac + else + $ECHO "$error + $ECHOTXT" + echo " " + if test "$deletelog" = no + then + $ECHO "$error + $ECHOTXT" >> $jid.log + echo " " >> $jid.log + fi + answer=quit + fi +else + if test $verify = yes + then + $ECHO " +Are these parameters correct (yes,no,quit,)? $ECHOTXT" + read answer + case $answer in + q* | Q*) + answer=quit + ;; + y* | Y*) + answer=yes + ;; + *) + answer=no + ;; + esac + else + answer=yes + fi +fi + +case $answer in + no | correct) + +############################################################################## +# prompt for each value # +############################################################################## + + $ECHO " +Program name ($prog)? $ECHOTXT" + read value + if test "$value" + then + prog=$value + fi + $ECHO "Job ID ($jid)? $ECHOTXT" + read value + if test "$value" + then + jid=`$BASENAME $value $dotdat` + DIRJID=`dirname $value` + case $DIRJID in + \/*) + ;; + *) + DIRJID=`pwd`/$DIRJID + ;; + esac + fi + $ECHO "User subroutine name ($usersubname)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + user= + ;; + *) + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user + basefile=`$BASENAME $value` + if test ${basefile##*.} = f + then + user=`dirname $value`/`$BASENAME $value .f` + usersubname=$user.f + elif test ${basefile##*.} = F + then + user=`dirname $value`/`$BASENAME $value .F` + usersubname=$user.F + elif test ${basefile##*.} = f90 + then + user=`dirname $value`/`$BASENAME $value .f90` + usersubname=$user.f90 + elif test ${basefile##*.} = F90 + then + user=`dirname $value`/`$BASENAME $value .F90` + usersubname=$user.F90 + fi + case $user in + \/*) + ;; + *) + user=`pwd`/$user + usersubname=`pwd`/$usersubname + ;; + esac + if test ! -f $usersubname + then + if test -f $usersubname.f + then + usersubname=$usersubname.f + elif test -f $usersubname.F + then + usersubname=$usersubname.F + elif test -f $usersubname.f90 + then + usersubname=$usersubname.f90 + elif test -f $usersubname.F90 + then + usersubname=$usersubname.F90 + fi + fi + ;; + esac + fi + $ECHO "User objects or libraries ($objs)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + objs= + ;; + *) + objs="$value" + ;; + esac + fi + $ECHO "Restart File Job ID ($rid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + rid= + ;; + *) + rid=`$BASENAME $value .t08` + DIRRID=`dirname $value` + case $DIRRID in + \/*) + ;; + *) + DIRRID=`pwd`/$DIRRID + ;; + esac + ;; + esac + fi + $ECHO "Substructure File ID ($sid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + sid= + ;; + *) + sid=$value + DIRSID=`dirname $value` + case $DIRSID in + \/*) + ;; + *) + DIRSID=`pwd`/$DIRSID + ;; + esac + ;; + esac + fi + $ECHO "Post File Job ID ($pid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + pid= + ;; + *) + pid=$value + DIRPID=`dirname $value` + case $DIRPID in + \/*) + ;; + *) + DIRPID=`pwd`/$DIRPID + ;; + esac + ;; + esac + fi + $ECHO "Defaults File ID ($did)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + did= + ;; + *) + did=`$BASENAME $value $dotdat` + DIRDID=`dirname $value` + case $DIRDID in + \/*) + ;; + *) + DIRDID=`pwd`/$DIRDID + ;; + esac + ;; + esac + fi + $ECHO "View Factor File ID ($vid)? $ECHOTXT" + read value + if test "$value" + then + case $value in + -*) + vid= + ;; + *) + vid=`$BASENAME $value .vfs` + DIRVID=`dirname $value` + case $DIRVID in + \/*) + ;; + *) + DIRVID=`pwd`/$DIRVID + ;; + esac + ;; + esac + fi + $ECHO "Save generated module ($prgsav)? $ECHOTXT" + read value + if test "$value" + then + prgsav=$value + fi + $ECHO "Run on tasks ($nprocdddm) tasks? $ECHOTXT" + read value + if test "$value" + then + nprocdddm=$value + nprocdddmprint=$value + fi + $ECHO "Run on ($nte) Element loop threads ? $ECHOTXT" + read value + if test "$value" + then + nte=$value + fi + $ECHO "Run on ($nsolver) solvers ? $ECHOTXT" + read value + if test "$value" + then + nsolver=$value + fi + $ECHO "Run on ($nts) Solver threads ? $ECHOTXT" + read value + if test "$value" + then + nts=$value + fi +# + if test $nprocdddm -gt 0 + then + nprocd=$nprocdddm + fi + if test $nsolver -gt 0 + then + if test $nsolver -gt $nprocd + then + nprocd=$nsolver + fi + fi +# Element loop threads. + if test $nte -eq -1 + then + nte=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nte -lt 0 + then + nte=0 + fi + nteprint=$nte +# Copy from ddm + if test $nprocdddm -gt 1 + then + nteprint=$nprocdddm + fi +# override with -nthread_elem option + if test $nte -ne 0 + then + nteprint=$nte + fi +# check for minimum 1 threads per processes for DDM + if test $nprocdddm -ne 0 + then + if test $nteprint -lt $nprocdddm + then + nteprint=$nprocdddm + fi + fi + nte=$nteprint +# Solver threads. + if test $nts -eq -1 + then + nts=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nts -lt 0 + then + nts=0 + fi + ntsprint=$nts +# Copy from ddm + if test $nprocdddm -gt 1 + then + ntsprint=$nprocdddm + fi +# override with -nthread_solver option + if test $nts -ne 0 + then + ntsprint=$nts + fi +# check for minimum 1 threads per solver process. + if test $nsolver -lt $nprocdddm + then + if test $ntsprint -lt $nsolver + then + ntsprint=$nsolver + fi + else + if test $ntsprint -lt $nprocdddm + then + ntsprint=$nprocdddm + fi + fi + if test $ntsprint -eq 1 + then + set ntsprint=0 + fi + nts=$ntsprint +# Update print variable for -nsolver option + nsolverprint=$nsolver + if test $nsolver -eq 0 + then + nsolverprint= + fi + $ECHO "GPGPU id option ($gpuids)? $ECHOTXT" + read value + if test "$value" + then + gpuids=$value + fi + if test "$gpuids" = "" ; then + gpuoption= + else + gpuoption="-gp $gpuids" + fi + if test "$gpuids" = "" ; then + export LD_LIBRARY_PATH=$CUDALIB1:$LD_LIBRARY_PATH + else + MARCCUDALIBS=$MARCCUDALIBS2 + export LD_LIBRARY_PATH=$CUDALIB2:$LD_LIBRARY_PATH + fi + if test $MPITYPE = hpmpi -a "$ARCHITECTURE" = "linux_amd64" + then + export MPIHPSPECIAL="$MPIHPSPECIAL -e LD_LIBRARY_PATH=$LD_LIBRARY_PATH" + fi +# + if test $nprocd -gt 1 + then + $ECHO "Message passing type ($itree)? $ECHOTXT" + read value + if test "$value" + then + itree=$value + fi + $ECHO "Host file name ($host)? $ECHOTXT" + read value + if test "$value" + then + host=$value + fi + if test $nprocdddm -gt 1 + then + $ECHO "Single input file? $ECHOTXT" + read value + case $value in + y* | Y*) + icreated=1 + nprocdarg=-nprocds + ;; + esac + $ECHO "Compatible machines for DDM ($compatible)? $ECHOTXT" + read value + if test "$value" + then + compatible=$value + fi + $ECHO "Copy input files to remote hosts ($cpinput)? $ECHOTXT" + read value + if test "$value" + then + cpinput=$value + fi + $ECHO "Copy post files from remote hosts ($cpresults)? $ECHOTXT" + read value + if test "$value" + then + cpresults=$value + fi + fi + fi + $ECHO "Run the job in the queue ($qid)? $ECHOTXT" + read value + if test "$value" + then + qid=$value + fi + case $qid in + s* | S* | l* | L* | v* | V* ) + $ECHO "Queue priority ($priority)? $ECHOTXT" + read value + if test "$value" + then + priority=$value + fi + $ECHO "Job starts at ($att)? $ECHOTXT" + read value + if test "$value" + then + att=$value + fi + $ECHO "Queue CPU limit ($cpu)? $ECHOTXT" + read value + if test "$value" + then + cpu=$value + fi + ;; + * ) + ;; + esac + $ECHO "Run directory ($DIRJOB)? $ECHOTXT" + read value + if test "$value" + then + DIRJOB=$value + DIRSCR=$DIRJOB + fi + $ECHO "Scratch directory ($DIRSCR)? $ECHOTXT" + read value + if test "$value" + then + DIRSCR=$value + fi + ;; + quit) + if test "$deletelog" = no -a $oversubscribe = true + then + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + ;; + *) + break + ;; + +esac + + if test $nt -eq -1 + then + nt=${MARC_NUMBER_OF_THREADS:-0} + fi + if test $nt -lt 0 + then + nt=0 + fi + +done +# +if test $nt -eq 0 +then + ntarg= +fi +if test $nt -eq 0 +then + ntprint= +fi +if test $nt -eq 0 +then + nt= +fi + +if test $nte -eq 0 +then + ntearg= +fi +if test $nte -eq 0 +then + nteprint= +fi +if test $nte -eq 0 +then + nte= +fi + +if test $nts -eq 0 +then + ntsarg= +fi +if test $nts -eq 0 +then + ntsprint= +fi +if test $nts -eq 0 +then + nts= +fi +# +if test "$dllrun" -gt 0; then + exefile=exe_marc + prog=exe_marc + program=$exefile + bd=$MARC_BIN/ + if test "$user"; then + . $MARC_TOOLS/make_marc_user_dll $DIRJOB $user + user= + pathdll=yes + if test $prgsav = no; then + rmdll=yes + fi + if test $prgsav = yes; then + cpdll=yes + rmdll=yes + fi + fi + + if test "$pathdll"; then +# +# reset share lib path +# + if test $MACHINENAME = "HP" + then + SHLIB_PATH=$DIRJOB:$SHLIB_PATH + export SHLIB_PATH + fi + if test $MACHINENAME = "IBM" + then + LIBPATH=$DIRJOB:$LIBPATH + export LIBPATH + fi +# + LD_LIBRARY_PATH=$DIRJOB:$LD_LIBRARY_PATH + LD_LIBRARY64_PATH=$DIRJOB:$LD_LIBRARY64_PATH + LD_LIBRARYN32_PATH=$DIRJOB:$LD_LIBRARYN32_PATH + export LD_LIBRARY_PATH + export LD_LIBRARY64_PATH + export LD_LIBRARYN32_PATH + fi +fi +# end of dllrun>0 + + +if test $program = $exefile -o $program = $prog.marc +then + +# delete the old .log file unless we run in the background +if test "$deletelog" = yes +then + if test "$jid" + then + /bin/rm $jid.log 2>/dev/null + fi +else + echo + echo running the job in the background, see $jid.log + echo +fi + +# +# check if this is an autoforge or rezoning or radiation job +# +if test $nprocd -eq 1 -a "$jid" + +then + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^autoforge"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^rezoning"` + if test "$line" + then + autoforge=1 + fi + line=`$AWK '/^[eE][nN][dD]/ {exit} ; {print}' $DIRJID/${jid}$dotdat | grep -i "^radiation"` + if test "$line" + then + autoforge=1 + fi +fi +# +# check that jobname for restarted run is not the same +# as restart file basename +# +if test "$rid" +then + if test "$jid" = "$rid" + then + echo " " + echo "ERROR: job name of current run is the same as job name" + echo " of the restarted job" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "ERROR: job name of current run is the same as job name" >> $jid.log + echo " of the restarted job" >> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi +fi + +# +# user objects/libraries used +# + + if test "$objs" + then + program="$DIRJOB/$jid.marc" + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# user subroutine used +# + + if test "$user" + then +# program=$user.marc + program=$DIRJOB/`$BASENAME $user .f`.marc + case $program in + \/* | \.\/*) + bd= + ;; + *) + bd=`pwd`/ + ;; + esac + link=yes + fi + +# +# Special case for IBM using POE but not an SP machine +# in this case we always need a host file, also for serial jobs. +# +if test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP +then + MP_HOSTFILE=${jid}.host + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $nprocd -gt 1 + then + numdom=$nprocd + while test $numdom -gt 0 + do + hostname -s >> $MP_HOSTFILE + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + else + hostname -s > $MP_HOSTFILE + fi +fi +# +# check ssh for all hosts in host file +# +if test $nprocd -gt 1 +then +if test $MPITYPE = "intelmpi" -a "$INTELMPI_VERSION" = "HYDRA" + then +# get host list + if test "$host" + then + line=`grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' | uniq` +# count failing hosts + counter=0 + for i in $line + do + $RSH -o BatchMode=yes -o ConnectTimeout=10 $i uname -n + status=$? + if [[ $status != 0 ]] ; then + counter=$((counter+1)) + if [ "$counter" = "1" ]; then + echo " " + echo " error - connection test failed... " + echo " " + fi + echo " " + echo " connection test with ssh failed on host $i" + echo " check the following command: ssh $i uname -n " + echo " " + fi + done +# echo error message and quit + if test $counter -ne 0 + then + echo " " + echo " A parallel job using IntelMPI cannot be started. " + echo " The ssh command must be working correctly between " + echo " the computers used in the analysis. Furthermore, " + echo " it must be set up such that it does not prompt the " + echo " user for a password. " + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo " A parallel job using IntelMPI cannot be started. ">> $jid.log + echo " The ssh command must be working correctly between ">> $jid.log + echo " the computers used in the analysis. Furthermore, ">> $jid.log + echo " it must be set up such that it does not prompt the ">> $jid.log + echo " user for a password. ">> $jid.log + echo " " >> $jid.log + echo " Exit number 8" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi +fi +fi +# +# check correctness of host file; fix for user sub +# + if test $nprocd -gt 1 + then + +# construct the path name to the executable (execpath) + execpath=$MARC_BIN/$exefile + usersub=0 + if test $program = $prog.marc + then + execpath=$prog.marc + usersub=1 + fi + if test "$objs" + then + execpath="$DIRJOB/$jid.marc" + usersub=1 + fi + if test "$user" + then + execpath=$DIRJOB/`$BASENAME $user .f`.marc + usersub=1 + fi + export execpath + execname=`$BASENAME $execpath` + + if test "$host" + then + userhost=$host + case $userhost in + \/* | \.\/*) + ;; + *) + userhost=`pwd`/$userhost + ;; + esac + +# check that the number of processes specified in the hostfile is +# equal to nprocd specified by -nprocd. + numproc=`grep -v '^#' $host | $AWK -v sum=0 '{sum=sum+$2}; END {print sum}'` + if test $nprocd -ne $numproc + then + echo " " + echo "error, the number of processes specified in the host file" + echo "must be equal to the number of processes given by -nprocd/-nsolver" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, the number of processes specified in the host file" >> $jid.log + echo "must be equal to the number of processes given by -nprocd/-nsolver" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + +# check for Myrinet that the number of processes per host is +# less than number of available user ports, 5 +# .gmpi directory must exist in user's home directory +# and must have write permission from remote hosts + if test $MPITYPE = "myrinet" + then + numproc=`grep -v '^#' $host | $AWK -v sum=1 '{if( $2 > 5) sum=6}; END {print sum}'` + if test $numproc -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes specified " + echo "in the hostfile must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes specified " >> $jid.log + echo "in the hostfile must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + if test ! -d ~/.gmpi + then + echo " " + echo "error, for Myrinet a .gmpi directory must exist " + echo "under the user's home directory" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a .gmpi directory must exist " >> $jid.log + echo "under the user's home directory" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + homedir=`echo ~` + for i in `grep -v '^#' $host | $AWK '{if (NF > 0) print $1}'` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + $RSH $i /bin/touch $homedir/.gmpi/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + echo " " + echo "error, for Myrinet a shared .gmpi directory must exist " + echo "under the user's home directory " + echo "with remote write permission" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet a shared .gmpi directory must exist " >> $jid.log + echo "under the user's home directory " >> $jid.log + echo "with remote write permission" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + else + /bin/rm tmp.$$ + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + fi + fi + done + fi + fi + +# construct the host file $jid.host which is used by mpirun +# skip lines starting with # and only consider lines with more than +# one word in them. Note that the hostfile given to this script +# has two columns: the host name and the number of shared processes +# to run on this host. mpirun wants the number of _other_ +# processes to run in addition to the one being run on the machine +# on which the job is started. hence the $2-1 for fnr == 1. + if test -f $jid.host + then + /bin/rm $jid.host 2> /dev/null + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then +# HPMPI or HP hardware MPI + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ + -v mpihpspecial="$MPIHPSPECIAL" \ +'{if ( NF > 0) {\ + fnr++ ; \ + printf("-h %s -np %s",$1,$2); \ + printf(" %s",mpihpspecial); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF >= 3 ) printf(" -e MPI_WORKDIR=%s", $3);\ + if ( NF >= 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) \ + }\ + }' > $jid.host +# end HPMPI or HP hardware MPI + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then +# IBM using hardware MPI (POE) + MP_HOSTFILE=$jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.host +# end IBM using hardware MPI (POE) +# for Intel MPI, need to create a machinefile for DMP + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then +# Intel MPI + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + /bin/cp $host $jid.host + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Intel MPI for DMP +# for Solaris HPC 7.1, need to create a machinefile for DMP + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then +# Solaris HPC 7.1 + if test -f $jid.mfile + then + /bin/rm $jid.mfile 2> /dev/null + fi + grep -v '^#' $host | $AWK '{host=$1;num=$2;for (i=1;i<=num;i++) print host}' > $jid.mfile +# end Solaris HPC 7.1 for DMP +# for Myrinet, construct a configuration file in ~/.gmpi +# this must be readable by each process +# format is (hostname) (port number) for each process + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + grep -v '^#' $host | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ +{if ( NF > 0 ) \ + for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc]); \ +}' >> ~/.gmpi/$jid.host + else +# this is for mpich-1.2.5 and later, using the -pg option +# format: host nproc executable user arguments +# the arguments are added later + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub -v user=`whoami` \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s %s\n",path,user);\ + if ( NF == 3 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s %s\n",path,user) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s %s\n",$3,en,user); else printf(" %s/bin/%s %s\n",$4,en,user) \ + }\ + }' > $jid.host + fi +# end Myrinet + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then +# Compaq MPI via Memory Channel + grep -v '^#' $host | $AWK '{if (NF > 0) print $1}' > $jid.host +# end Compaq MPI + else +# MPICH + grep -v '^#' $host | $AWK -v path=$execpath -v en=$execname -v us=$usersub \ +'{if ( NF > 0) {\ + fnr++ ; \ + if ( fnr == 1 ) printf("%s %d",$1,$2-1); \ + else printf("%s %s",$1,$2); \ + if ( NF == 2 ) printf(" %s\n",path);\ + if ( NF == 3 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s\n",path) ;\ + if ( NF == 4 ) if (us) printf(" %s/%s\n",$3,en); else printf(" %s/bin/%s\n",$4,en) \ + }\ + }' > $jid.host + fi +# define the variable host and host_filt +# host_filt is used for loops over hosts +# for Myrinet we need to use a filtered variant of userhost +# for others we can use $host + if test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + host=~/.gmpi/$jid.host + host_filt=$jid.host_tMp + grep -v '^#' $userhost | $AWK '{if (NF > 0) print $1}' > $host_filt + else + host=$jid.host + host_filt=$host + fi + else + host=$jid.host + host_filt=$host + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + host_filt=$jid.mfile + fi + fi +# figure out if the machines in the hostfile are nfs mounted +# or distributed and set the variable "dirstatus" accordingly. +# only perform the check if user subroutine is used +# or a user subroutine executable is used + + numfield=1 + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + numfield=2 + fi + DIR1=$DIRJOB + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + counter=0 + echo " " + echo "checking if local or shared directories for host" + if test "$deletelog" = no + then + echo "checking if local or shared directories for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + dirstatus[$counter]="shared" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + $RSH $i /bin/touch $DIR1/$jid.$$ 2> tmp.$$ + if test -s tmp.$$ + then + dirstatus[$counter]="local" + /bin/rm tmp.$$ + else + if test ! -f $jid.$$ + then + dirstatus[$counter]="local" + $RSH $i /bin/rm $DIR1/$jid.$$ + else + /bin/rm $jid.$$ + fi + fi + if test -f tmp.$$ + then + /bin/rm tmp.$$ + fi + if test -f $jid.$$ + then + /bin/rm $jid.$$ + fi + echo " ${dirstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${dirstatus[$counter]}" >> $jid.log + fi + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + fi + +# figure out if this is a compatible set of machines +# unless explicitly specified with flag -comp +# only perform the check if user subroutine is used +# or a user subroutine executable is used +# Myrinet does not support heterogeneous + if test $program = $prog.marc -o -n "$user" -o -n "$objs" + then + if test $compatible = "unknown" + then + thisname=$ARCH + compatible=yes + counter=0 + echo "checking if machines are compatible for host" + if test "$deletelog" = no + then + echo "checking if machines are compatible for host" >> $jid.log + fi + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]="yes" + $ECHO " $i $ECHOTXT" + if test "$deletelog" = no + then + $ECHO " $i $ECHOTXT" >> $jid.log + fi + othername=`$RSH $i uname -a | cut -f 1 -d " "` + if test $thisname != $othername + then + compatible=no + compstatus[$counter]="no" + fi + fi + echo " ${compstatus[$counter]}" + if test "$deletelog" = no + then + echo " ${compstatus[$counter]}" >> $jid.log + fi + done + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + fi + else + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + compstatus[$counter]=$compatible + fi + done + if test $compatible = "no" + then + echo "all machines assumed incompatible" + if test "$deletelog" = no + then + echo "all machines assumed incompatible" >> $jid.log + fi + else + echo "all machines compatible" + if test "$deletelog" = no + then + echo "all machines compatible" >> $jid.log + fi + fi + fi +# error out if user objects or libraries are used on incompatible machines + if test "$compatible" = "no" -a -n "$objs" + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" + if test "$deletelog" = no + then + echo "User object/libraries cannot be used in a parallel job on incompatible machines" >> $jid.log + fi + exit 1 + fi +# modify new host file if NFS mounted heterogeneous machine + doit= + if test $program = $prog.marc + then + doit=yes + fi + if test "$user" + then + doit=yes + fi + if test "$doit" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + $AWK -v hst=$i '{fnr++ ; \ +if ($1 ~ hst) {if ( fnr == 1 ) printf("%s\n",$0); else \ +printf("%s %s %s_%s\n",$1,$2,$3,$1) } else print}' $jid.host > $jid.host{$$} + /bin/mv $jid.host{$$} $jid.host + host=$jid.host + fi + fi + done + fi + fi # if test $program = $prog.marc -o $user -o $obj + + else # if test $host + # assume shared memory machine if no hostfile given and + # MPITYPE is set to mpich or Myrinet + # check for Myrinet that the total number of processes is + # less than number of available user ports, 5 + if test $MPITYPE = "mpich" -o $MPITYPE = "scali" + then + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + host=$jid.host + elif test $MPITYPE = "myrinet" + then + if test $nprocd -gt 5 + then + echo " " + echo "error, for Myrinet the number of processes " + echo "must not exceed 5 for a hostname" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error, for Myrinet the number of processes " >> $jid.log + echo "must not exceed 5 for a hostname" >> $jid.log + echo " " >> $jid.log + fi + exit 1 + fi + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + echo $nprocd > ~/.gmpi/$jid.host + echo `hostname` $nprocd | $AWK \ +'BEGIN {iport[0] = 2; \ + iport[1] = 4; \ + iport[2] = 5; \ + iport[3] = 6; \ + iport[4] = 7 \ + } \ + {for(iproc = 0; iproc < $2; iproc++) printf("%s %d\n",$1,iport[iproc])} \ +' >> ~/.gmpi/$jid.host + host=~/.gmpi/$jid.host + else + numproc=`echo $nprocd | $AWK '{sum=$1-1}; {print sum}'` + echo `hostname` $numproc $execpath > $jid.host + + fi + fi # if test myrinet + + fi # if test $host + + fi # if test $nprocd -gt 1 + +fi # if test $program = $exefile -o $program = $prog.marc + +############################################################################## +# construct run stream (Marc only) # +############################################################################## + +# set maximum message length for ddm to a large number +# for vendor provided mpi +if test $itree -eq 0 -a $MPITYPE = hardware +then + itree=100000000 + if test $MACHINENAME = SGI + then + itree=100000001 + fi +fi +if test $itree -eq 0 -a $MPITYPE = hpmpi +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = myrinet +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = nec +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = scali +then + itree=100000000 +fi +if test $itree -eq 0 -a $MPITYPE = intelmpi +then + itree=100000000 +fi +if test $nprocdddm -lt 2 +then + nprocdarg= +else + nprocdarg="$nprocdarg $nprocdddm" +fi +if test $nsolver -eq 0 +then + nsolverarg= +else + nsolverarg="$nsolverarg $nsolver" +fi +if test $nprocdddm -lt 2 -a $nsolver -eq 0 +then +nprocd=0 +fi +if test $nprocd -gt 0 +then + if test "$host" + then + if test -z "$RUN_JOB2" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + if test $MPITYPE = hpmpi -o $MACHINENAME = HP -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $host -- -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = IBM -a $MPITYPE = hardware -a "$MACHINETYPE" = NONSP + then + RUN_JOB="$RUN_JOB2 $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MPITYPE = "myrinet" + then + if test $MPIVERSION = "MPICH-GM1.2.1..7" + then + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB_TMP="$RUN_JOB2 $host $bd$program" + RUN_JOB=" -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + elif test $MACHINENAME = DEC -a $MPITYPE = hardware + then + RUN_JOB="$RUN_JOB2 $nprocd -hf $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + elif test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + numhost=`uniq $jid.mfile | wc -l` + if test "$INTELMPI_VERSION" = "HYDRA" + then + RUN_JOB_TMP="$RUN_JOB2 -configfile $jid.cfile" + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n $numhost -r $RSH -f $jid.mfile + RUN_JOB_TMP="$RUN_JOB2 $jid.cfile" + fi + +# intelmpi uses configfile. format: +# -host host1 -n n1 executable marcargs +# one such line per host +# collect the marcargs in RUN_JOB and construct the config file later +# collect the run stream in RUN_JOB_TMP + RUN_JOB="-jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + + + elif test $MACHINENAME = "SUN" -a $MPITYPE = "hardware" + then + RUN_JOB="$RUN_JOB2 $jid.mfile -n $nprocd $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB2 $host $bd$program -jid $jid -dirjid $DIRJID \ +$nprocdarg \ +$nsolverarg \ +-maxnum $MAXNUM -itree $itree \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test "$userhost" + then + RUN_JOB="$RUN_JOB -mhost $userhost" + fi + if test $MPITYPE = "scali" + then +# set default working directory to /tmp to allow +# different directory names + SCAMPI_WORKING_DIRECTORY=/tmp + export SCAMPI_WORKING_DIRECTORY + fi + else + if test -z "$RUN_JOB1" + then + echo " " + echo "error: parallel job attempted on non-parallel version," + echo " or, if parallel version is installed, the include " + echo " file is probably corrupted" + echo " " + if test "$deletelog" = no + then + echo " " >> $jid.log + echo "error: parallel job attempted on non-parallel version," >> $jid.log + echo " or, if parallel version is installed, the include " >> $jid.log + echo " file is probably corrupted" >> $jid.log + echo " " >> $jid.log + fi + exit + fi + RUNNPROCD=$nprocd + if test $MACHINENAME = "IBM" -a $MPITYPE = "hardware" + then + RUNNPROCD= + MP_PROCS=$nprocd + export MP_PROCS + fi + if test $MPITYPE = "myrinet" + then + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + echo " " > /dev/null + else + export I_MPI_JOB_CONTEXT=$$ + mpdboot -n 1 -f $jid.hosts + fi + RUN_JOB="$RUN_JOB1 $RUNNPROCD $bd$program -jid $jid -dirjid $DIRJID \ + $nprocdarg \ + $nsolverarg \ + -maxnum $MAXNUM -itree $itree \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi + fi +else + if test $ndcoup -gt 0 + then + RUN_JOB="$RUN_JOB0 $BINDIR/exe_auto $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ + $ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + else +# this is for a serial job without auto restart: + RUN_JOB="$RUN_JOB0 $bd$program -jid $jid -dirjid $DIRJID \ +-maxnum $MAXNUM \ +$ntearg $nte $ntsarg $nts $gpuoption -dirjob $DIRJOB " + fi +fi +if test "$rid" +then + RUN_JOB="$RUN_JOB -rid $rid -dirrid $DIRRID" +fi +if test "$pid" +then + RUN_JOB="$RUN_JOB -pid $pid -dirpid $DIRPID" +fi +if test "$sid" +then + RUN_JOB="$RUN_JOB -sid $sid -dirsid $DIRSID" +fi +if test "$did" +then + RUN_JOB="$RUN_JOB -def $did -dirdid $DIRDID" +fi +if test "$vid" +then + RUN_JOB="$RUN_JOB -vf $vid -dirvid $DIRVID" +fi +if test $ndcoup -gt 0 +then + RUN_JOB="$RUN_JOB -dcoup $ndcoup " +fi +if test $ndytran -gt 0 +then + RUN_JOB="$RUN_JOB -dytran $ndytran " +fi +if test $mesh -gt 0 +then + RUN_JOB="$RUN_JOB -me $mesh " +fi +if test $noutcore -gt 0 +then + RUN_JOB="$RUN_JOB -outcore $noutcore " +fi +if test "$dllrun" -gt 0 +then + RUN_JOB="$RUN_JOB -dll $dllrun " +fi +if test "$trkrun" -gt 0 +then + RUN_JOB="$RUN_JOB -trk $trkrun " +fi +if test "$iam" +then + RUN_JOB="$RUN_JOB -iam $iam " +fi +if test "$justlist" +then + RUN_JOB="$RUN_JOB -list 1 " +fi +if test "$feature" +then + RUN_JOB="$RUN_JOB -feature $feature " +fi +if test "$memlimit" -ne 0 +then + RUN_JOB="$RUN_JOB -ml $memlimit " +fi +if test "$cpinput" +then + RUN_JOB="$RUN_JOB -ci $cpinput " +fi +if test "$cpresults" +then + RUN_JOB="$RUN_JOB -cr $cpresults " +fi +if test "$DIRSCR" != "$DIRJOB" +then + RUN_JOB="$RUN_JOB -dirscr $DIRSCR" +else + DIRSCR=$DIRJOB +fi +if test "$makebdf" +then + RUN_JOB="$RUN_JOB -bdf $makebdf " +fi +if test $MPITYPE = "myrinet" -a "$host" -a "$MPIVERSION" != "MPICH-GM1.2.1..7" +then + # append $RUN_JOB to all lines of the host file + # and set RUN_JOB + $AWK -v args="$RUN_JOB" '{print $0,args}' $host > $host.$$ + /bin/mv $host.$$ $host + RUN_JOB=$RUN_JOB_TMP +fi +if test $MPITYPE = "intelmpi" -a "$host" +then + # construct config file, append $RUN_JOB to all lines of the config file + # and set RUN_JOB + if test "$INTELMPI_VERSION" = "HYDRA" + then + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf(" -host %s",$1); \ + printf(" -n %s",$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + else + grep -v '^#' $host | $AWK -v args="$RUN_JOB" -v path=$execpath -v en=$execname -v us=$usersub \ + '{if ( NF > 0) {\ + printf("-host %s -n %s",$1,$2); \ + if ( NF == 2 ) printf(" %s",path);\ + if ( NF >= 3 ) printf(" -wdir %s ",$3); \ + if ( NF >= 3 ) if (us) printf(" %s/%s",$3,en); else printf(" %s",path); \ + printf(" %s\n",args); \ + }\ + }' > $jid.cfile + fi + RUN_JOB=$RUN_JOB_TMP +fi +echo " " +echo "Final run stream value" +echo " RUNJOB="$RUN_JOB +if test "$deletelog" = no +then +echo " " >> $jid.log +echo "Final run stream value" >> $jid.log +echo " RUNJOB="$RUN_JOB >> $jid.log +fi + + +# +# check for external file to run using valgrind +# +if test -f $MARC_TOOLS/run_marc_valgrind +then + . $MARC_TOOLS/run_marc_valgrind +fi + + +############################################################################## +# run the requested program in a queue # +############################################################################## + +if test "$deletelog" = yes +then + echo + date +else + echo >> $jid.log + date >> $jid.log +fi +if [ $qid = short -o $qid = long -o $qid = verylong -o $qid = at ] +then + +/bin/rm -f $jid.runmarcscript + + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + userobj=$DIRJOB/`$BASENAME $user .f`.o + basefile=`$BASENAME $usersubname` + if test ${basefile##*.} = f + then + usersub=$DIRJOB/`$BASENAME $user .f`.F + ln -sf "$user.f" "$usersub" + else + usersub=$usersubname + fi + + fi + cat > $jid.runmarcscript << END4 + if test "$user" + then + if test ${basefile##*.} = f + then + ln -sf "$user.f" "$usersub" + fi + if test $MACHINENAME = "CRAY" + then + $FORTRAN $usersub || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $FORTRAN $usersub -o $userobj || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + if test ${basefile##*.} = f + then + /bin/rm -f "$usersub" + fi + fi + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + $SOLVERLIBS \ + $MARCCUDALIBS \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } +END4 +else + prgsav=yes +fi +/bin/rm $userobj 2>/dev/null + +# +# run marc +# + +cat >> $jid.runmarcscript << END5 + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# first remove all .out files and incremental restart files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + /bin/rm $DIRJOB/$numdom${jid}_i_*.t08 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null + /bin/rm $DIRJOB/${jid}_i_*.t08 2>/dev/null +fi + +if test $nprocdddm -gt 1 +then + $RUN_JOB 2>>$jid.log +else + $RUN_JOB 2>>$jid.log +fi + +if test $dllrun -eq 0; then + if test $prgsav = no + then + /bin/rm -f $bd$program 2>/dev/null + fi +else + if test $cpdll = yes; then + filename=`basename $usersubname .f` + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes + then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test \$numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + numdom=\`echo \$numdom | $AWK '{sum=\$1-1}; {print sum}'\` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null +fi +END5 + + +# Submit to marc batch queue +# +if [ $qid = at ] +then +QUENAME=at +SUBMCMD= +else +# +# Submit to qsub queue +# +QUENAME=qsub +SUBMCMD="-q $qid -o /dev/null -e $jid.batch_err_log -x -r $jid" +if test "$priority" +then + SUBMCMD=$SUBMCMD" -p $priority" +fi +if test "$att" +then + SUBMCMD=$SUBMCMD" -a $att" +fi +if test "$cpu" +then + SUBMCMD=$SUBMCMD" -lt $cpu" +fi + +fi +echo $QUENAME $SUBMCMD +#cat $jid.runmarcscript +$QUENAME $SUBMCMD < $jid.runmarcscript + +/bin/rm -f $jid.runmarcscript + +############################################################################## +# run the requested program in the background # +############################################################################## + +else +if test $qid = background +then + +# +# first remove all old .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi +# +# compile user subroutine if present +# +( +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user.f $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_user $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user.f on host $i" + echo " $PRODUCT Exit number 3" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser.f 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user.f on host `hostname`" + fi + userobj=$DIRJOB/`$BASENAME $user .f`.o + basefile=`$BASENAME $usersubname` + if test ${basefile##*.} = f + then + usersub=$DIRJOB/`$BASENAME $user .f`.F + ln -sf "$user.f" "$usersub" + else + usersub=$usersubname + fi + if test $MACHINENAME = "CRAY" + then + $FORTRAN $usersub || \ + { + echo "$0: compile failed for $user.f" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $FORTRAN $usersub -o $userobj || \ + { + echo "$0: compile failed for $user.f" + echo " $PRODUCT Exit number 3" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + if test ${basefile##*.} = f + then + /bin/rm -f "$usersub" + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + echo " $PRODUCT Exit number 3" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null + +# +# run marc + +# + +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + + +$RUN_JOB & + +marcpid=$! +echo $marcpid > $DIRJOB/$jid.pid +wait $marcpid + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + fi + fi + fi +fi + + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi + fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=`basename $usersubname .f` + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi +) 1>>$jid.log 2>&1 & + + +############################################################################## +# run the requested program in the foreground # +############################################################################## + +else + +# +# compile user subroutine if present +# +if test "$link" +then + if test -z "$FCOMPROOT"; then + echo "$0: No compiler available" + echo + echo " $PRODUCT Exit number 3" + exit 1 + fi + echo + echo "Using compiler from: $FCOMPROOT" + echo + if test "$user" + then + # compile and link on other hosts in $host if compstatus=no + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${compstatus[$counter]} = "no" + then + DIR1=$DIRJOB + DIR2=$DIR + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + marcdir=`echo $line | $AWK '{print $4}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + if test -n "$marcdir" + then + DIR2=$marcdir + fi + # first copy over the user sub if local directories + if test ${dirstatus[$counter]} = "local" + then + $RCP $user.f $i:$DIR1/ + fi + # do the compilation on the other machine + if test ${dirstatus[$counter]} = "shared" + then + hname=_$ibase + else + hname= + fi + remoteprog=$DIR1/${execname}$hname + remoteuser=$DIR1/`$BASENAME $user` + $RSH $i /bin/rm $remoteprog 2> /dev/null + echo + $RSH $i $DIR2/tools/comp_user $DIR2 $DIR1 $remoteuser $remoteprog + # check if successful, the new executable should be there + line=`$RSH $i /bin/ls $remoteprog 2> /dev/null` + if test "$line" + then + echo compilation and linking successful on host $i + else + echo "$0: compile failed for $user.f on host $i" + exit 1 + fi + # remove the user subroutine on remote machine + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $remoteuser.f 2> /dev/null + fi + fi + fi + done + fi + fi + if test "$userhost" + then + echo + echo "Compiling and linking user subroutine $user.f on host `hostname`" + fi + userobj=$DIRJOB/`$BASENAME $user .f`.o + basefile=`$BASENAME $usersubname` + if test ${basefile##*.} = f + then + usersub=$DIRJOB/`$BASENAME $user .f`.F + ln -sf "$user.f" "$usersub" + else + usersub=$usersubname + fi + if test $MACHINENAME = "CRAY" + then + $FORTRAN $usersub || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + else + $FORTRAN $usersub -o $userobj || \ + { + echo "$0: compile failed for $user.f" + exit 1 + } + /bin/rm $program 2>/dev/null + fi + if test ${basefile##*.} = f + then + /bin/rm -f "$usersub" + fi + fi # if test $user + + + $LOAD $bd${program} $MARC_LIB/main.o \ + $MARC_LIB/blkdta.o $MARC_LIB/comm?.o \ + ${userobj-} \ + $objs \ + $SRCLIB \ + $MNFLIBS \ + $MDUSER \ + ${MUMPSSOLVERLIBS} \ + $MDSRCLIB \ + $MARC_LIB/mcvfit.a \ + $STUBS \ + ${SOLVERLIBS} \ + ${MARCCUDALIBS} \ + $TKLIBS \ + $MRCLIBS \ + $METISLIBS \ + $SFLIB \ + $OPENSSL_LIB \ + $SYSLIBS \ + $SECLIBS || \ + { + echo "$0: link failed for ${user:+$userobj }$objs" + exit 1 + } + # copy user subroutine executable for hosts using local working dir + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + if test ${dirstatus[$counter]} = "local" -a ${compstatus[$counter]} = "yes" + then + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + echo "Copying executable to host ${i}" + $RCP $program ${i}:${DIR1}/ + fi + fi + done + fi + fi +else # if test $link + prgsav=yes +fi # if test $link +/bin/rm $userobj 2>/dev/null + +# done if no job id given +if test -z "$jid" +then + echo + echo only compilation requested + echo + exit +fi +# +# run marc +# +# Define share library path based on platforms +# This is required for using the Patran Mesher +if test $MACHINENAME = "IBM" +then + LIBPATH=$MARC_LIB:$MARC_LIB_SHARED:$LIBPATH + export LIBPATH +fi +# first remove all .out files +# the ones for ddm are removed in the code +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRJOB/$numdom$jid.out 2>/dev/null + /bin/rm $DIRJOB/$numdom$jid.log 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done +else + /bin/rm $DIRJOB/$jid.out 2>/dev/null +fi + +# for DDM with ARC support + +if test $ddm_arc -gt 0; then + RUN_JOB="$BINDIR/exeddm $RUN_JOB -ddm $ddm_arc " +fi + +$RUN_JOB + +if test $nprocd -gt 1 +then + if test $MACHINENAME = "LINUX" -a $MPITYPE = "intelmpi" + then + if test "$INTELMPI_VERSION" = "HYDRA" + then + if test "$host" + then + /bin/rm $jid.mfile 2> /dev/null + /bin/rm $jid.hosts 2> /dev/null + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.cfile 2> /dev/null + else + echo " " > /dev/null + fi + else + if test "$host" + then + mpdcleanup -a -f $jid.mfile + /bin/rm $jid.host 2> /dev/null + /bin/rm $jid.mfile 2> /dev/null + else + mpdcleanup -a -f $jid.hosts + /bin/rm $jid.hosts 2> /dev/null + fi + fi + fi +fi + +if test $dllrun -eq 0; then +if test $prgsav = no +then + /bin/rm -f $bd$program 2>/dev/null + # for network run, remove executable on remote machines + # and executables with modified name + if test $nprocd -gt 1 + then + if test "$userhost" + then + counter=0 + if test -f "$host_filt" + then + for i in `$AWK -v n=$numfield '{print $n}' $host_filt` + do + ibase=${i%%.*} + if test $ibase != $thishost + then + counter=$((counter+1)) + DIR1=$DIRJOB + line=`grep -v '^#' $userhost | grep "^$ibase "` + workdir=`echo $line | $AWK '{print $3}'` + if test -n "$workdir" + then + DIR1=$workdir + fi + # if an incompatible host uses shared directory, + # then the root machine deletes the executable + if test ${dirstatus[$counter]} = "shared" -a ${compstatus[$counter]} = "no" + then + hname=_$ibase + /bin/rm ${execname}$hname + fi + # if local directory used, the remote machine + # deletes the executable + if test ${dirstatus[$counter]} = "local" + then + $RSH $i /bin/rm $DIR1/${execname} 2>/dev/null + fi + fi + done + fi + fi + fi +fi +else +#dllrun >0 + if test $cpdll = yes; then + filename=`basename $usersubname .f` + /bin/cp $DIRJOB/$marcdll $DIRJOB/${filename}_$marcdll 2>/dev/null + fi + if test $rmdll = yes;then + /bin/rm -f $DIRJOB/$marcdll 2>/dev/null + fi +fi + +if test $nprocdddm -gt 1 +then + numdom=$nprocdddm + while test $numdom -gt 0 + do + /bin/rm $DIRSCR/$numdom$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t74 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t75 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t76 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t77 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t78 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t79 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t84 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t85 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t86 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t87 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t88 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.t90 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sle 2>/dev/null + /bin/rm $DIRSCR/$numdom$jid.sin 2>/dev/null + numdom=`echo $numdom | $AWK '{sum=$1-1}; {print sum}'` + done + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + if test $MPITYPE = "myrinet" + then + if test -f "$host_filt" + then + /bin/rm $host_filt + fi + fi +else + /bin/rm $DIRSCR/$jid.t02 2>/dev/null + /bin/rm $DIRSCR/$jid.t03 2>/dev/null + /bin/rm $DIRSCR/$jid.t11 2>/dev/null + /bin/rm $DIRSCR/$jid.t12 2>/dev/null + /bin/rm $DIRSCR/$jid.t13 2>/dev/null + /bin/rm $DIRSCR/$jid.t14 2>/dev/null + /bin/rm $DIRSCR/$jid.t15 2>/dev/null + /bin/rm $DIRSCR/$jid.t22 2>/dev/null + /bin/rm $DIRSCR/$jid.t23 2>/dev/null + /bin/rm $DIRSCR/$jid.t32 2>/dev/null + /bin/rm $DIRSCR/$jid.t33 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t81* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t82* 2>/dev/null + /bin/rm $DIRSCR/$jid.*.t83* 2>/dev/null + /bin/rm $DIRSCR/$jid.t84 2>/dev/null + /bin/rm $DIRJOB/$jid.pid 2>/dev/null + /bin/rm $DIRJOB/$jid.sle 2>/dev/null + /bin/rm $DIRJOB/$jid.sin 2>/dev/null +fi + + +fi +fi diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/edit_window b/installation/mods_MarcMentat/2020/Mentat_bin/edit_window new file mode 100644 index 000000000..b732a7694 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/edit_window @@ -0,0 +1,5 @@ +#!/bin/sh +# This script opens a window running an editor. +# The command to invoke the editor is specified during DAMASK installation + +%EDITOR% $* \ No newline at end of file diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/edit_window.original b/installation/mods_MarcMentat/2020/Mentat_bin/edit_window.original new file mode 100644 index 000000000..64c0a68d0 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/edit_window.original @@ -0,0 +1,18 @@ +#!/bin/sh +# This script opens a window running an editor. The default window is an +# xterm, and the default editor is vi. These may be customized. + +dir= +for d in /usr/bin /usr/bin/X11; do + if test -x "$d/xterm"; then + dir="$d" + break + fi +done + +if test -z "$dir"; then + echo "$0: Could not find xterm" + exit 1 +fi + +"$dir/xterm" -T "vi $*" -n "vi $*" -e vi $* diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/kill1.original b/installation/mods_MarcMentat/2020/Mentat_bin/kill1.original new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/kill1.original @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/kill4 b/installation/mods_MarcMentat/2020/Mentat_bin/kill4 new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/kill4 @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/kill5 b/installation/mods_MarcMentat/2020/Mentat_bin/kill5 new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/kill5 @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/kill6 b/installation/mods_MarcMentat/2020/Mentat_bin/kill6 new file mode 100644 index 000000000..6d1ff84bf --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/kill6 @@ -0,0 +1,8 @@ +#!/bin/sh + +if [ "$1" = "" ]; then + echo "usage: $0 job_name" + exit 1 +fi + +echo STOP > $1.cnt diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/submit1.original b/installation/mods_MarcMentat/2020/Mentat_bin/submit1.original new file mode 100644 index 000000000..9f59cba3b --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/submit1.original @@ -0,0 +1,189 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=/tmp/msc/marc2020 +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" == "marc" ]; then + slv="" +fi +if [ "$slv" == "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_marc" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/submit4 b/installation/mods_MarcMentat/2020/Mentat_bin/submit4 new file mode 100644 index 000000000..55e3bcf03 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/submit4 @@ -0,0 +1,191 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=%INSTALLDIR%/marc%VERSION% + +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" = "marc" ]; then + slv="" +fi +if [ "$slv" = "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile=${srcfile%.*}".marc" + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_damask_hmp" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/submit5 b/installation/mods_MarcMentat/2020/Mentat_bin/submit5 new file mode 100644 index 000000000..8699cf076 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/submit5 @@ -0,0 +1,191 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=%INSTALLDIR%/marc%VERSION% + +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" = "marc" ]; then + slv="" +fi +if [ "$slv" = "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile=${srcfile%.*}".marc" + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_damask_mp" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2020/Mentat_bin/submit6 b/installation/mods_MarcMentat/2020/Mentat_bin/submit6 new file mode 100644 index 000000000..a0179482f --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_bin/submit6 @@ -0,0 +1,191 @@ +#!/bin/sh +# +# The exit status of this script is read by Mentat. +# Normal exit status is 0. +# + +DIR=%INSTALLDIR%/marc%VERSION% + +if test $MARCDIR1 +then + DIR=$MARCDIR1 +fi + +if test -z "$DIR"; then + REALCOM="`ls -l $0 |awk '{ print $NF; }'`" + DIRSCRIPT=`dirname $REALCOM` + case $DIRSCRIPT in + \/*) + ;; + *) + DIRSCRIPT=`pwd`/$DIRSCRIPT + ;; + esac + . $DIRSCRIPT/getarch + + DIR="$MENTAT_MARCDIR" +fi + +SRCEXT=.f +SRCEXTC=.F +RSTEXT=.t08 +PSTEXT=.t19 +PSTEXTB=.t16 +VWFCEXT=.vfs + +slv=$1 +version=$2 +ndom_fea_solver=$3 +ndom_preprocessor=$4 +hostfile=$5 +compat=$6 +job=$7 +srcfile=$8 +srcmeth=$9 +shift 9 # cannot use $10, $11, ... +restart=$1 +postfile=$2 +viewfactorsfile=$3 +copy_datfile="-ci $4" +copy_postfile="-cr $5" +scr_dir=$6 +dcoup=$7 +assem_recov_nthread=$8 +nthread=$9 +shift 9 # cannot use $10, $11, ... +nsolver=$1 +mode=$2 +gpu=$3 + +if [ "$slv" != "" -a "$slv" != "marc" -a "$slv" != "datfit" ]; then + slv="-iam sfm" +fi +if [ "$slv" = "marc" ]; then + slv="" +fi +if [ "$slv" = "datfit" ]; then + slv="-iam datfit" +fi + +if [ "$ndom_fea_solver" != "" -a "$ndom_fea_solver" != "1" ]; then + nprocds="-nprocds $ndom_fea_solver" +else + nprocd="" + if [ "$ndom_preprocessor" != "" -a "$ndom_preprocessor" != "1" ]; then + nprocd="-nprocd $ndom_preprocessor" + else + nprocd="" + fi +fi + +if [ "$srcfile" != "" -a "$srcfile" != "-" ]; then + srcfile=`echo $srcfile | sed "s/$SRCEXT$//" | sed "s/$SRCEXTC$//"` + case "$srcmeth" in + -) + srcfile="-u $srcfile" + ;; + compsave) + srcfile="-u $srcfile -save y" + ;; + runsaved) + srcfile=${srcfile%.*}".marc" + srcfile="-prog $srcfile" + ;; + esac +else + srcfile="" +fi + +if [ "$restart" != "" -a "$restart" != "-" ]; then + restart=`echo $restart | sed "s/$RSTEXT$//"` + restart="-r $restart" +else + restart="" +fi + +if [ "$postfile" != "" -a "$postfile" != "-" ]; then + postfile=`echo $postfile | sed "s/$PSTEXT$//"` + postfile=`echo $postfile | sed "s/$PSTEXTB$//"` + postfile="-pid $postfile" +else + postfile="" +fi + +if [ "$viewfactorsfile" != "" -a "$viewfactorsfile" != "-" ]; then + viewfactorsfile=`echo $viewfactorsfile | sed "s/$VWFCEXT$//"` + viewfactorsfile="-vf $viewfactorsfile" +else + viewfactorsfile="" +fi + +if [ "$hostfile" != "" -a "$hostfile" != "-" ]; then + hostfile="-ho $hostfile" +else + hostfile="" +fi + +if [ "$compat" != "" -a "$compat" != "-" ]; then + compat="-co $compat" +else + compat="" +fi + +if [ "$scr_dir" != "" -a "$scr_dir" != "-" ]; then + scr_dir="-sd $scr_dir" +else + scr_dir="" +fi + +if [ "$dcoup" != "" -a "$dcoup" != "0" ]; then + dcoup="-dcoup $dcoup" +else + dcoup="" +fi + +if [ "$assem_recov_nthread" != "" -a "$assem_recov_nthread" != "1" ]; then + assem_recov_nthread="-nthread_elem $assem_recov_nthread" +else + assem_recov_nthread="" +fi + +if [ "$nthread" != "" -a "$nthread" != "0" -a "$nthread" != "1" ]; then + nthread="-nthread $nthread" +else + nthread="" +fi + +if [ "$nsolver" != "" -a "$nsolver" != "0" ]; then + nsolver="-nsolver $nsolver" +else + nsolver="" +fi + +case "$mode" in + 4) mode="-mo i4" ;; + 8) mode="-mo i8" ;; + *) mode= ;; +esac + +if [ "$gpu" != "" -a "$gpu" != "-" ]; then + gpu="-gpu $gpu" +else + gpu="" +fi + +rm -f $job.cnt +rm -f $job.sts +rm -f $job.out +rm -f $job.log + +# To prevent a mismatch with the python version used by the solver +# do *not* prepend $MENTAT_INSTALL_DIR/python/bin to environment variable PATH +# unset environment variables PYTHONHOME and PYTHONPATH +unset PYTHONHOME +unset PYTHONPATH + +"${DIR}/tools/run_damask_lmp" $slv -j $job -v n -b y $nprocds $nprocd \ + $srcfile $restart $postfile $viewfactorsfile $hostfile \ + $compat $copy_datfile $copy_postfile $scr_dir $dcoup \ + $assem_recov_nthread $nthread $nsolver $mode $gpu > /dev/null 2>&1 +sleep 1 +exit 0 diff --git a/installation/mods_MarcMentat/2020/Mentat_menus/job_run.ms b/installation/mods_MarcMentat/2020/Mentat_menus/job_run.ms new file mode 100644 index 000000000..2429f1f3a --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_menus/job_run.ms @@ -0,0 +1,2973 @@ +#ifndef AUTOFORGE +popmenu job_title_pm file jobs.ms +popdown job_title_ok file jobs.ms + +group user_domains_gr file domain_decomposition.ms +group user_domains_generate_gr file domain_decomposition.ms +group user_domains_tail_gr file domain_decomposition.ms +group matrix_solver_gr file job_common.ms +popmenu ddm_options file job_common.ms + +browser edit_browser file file.ms +browser directory_browser file file.ms +screen domains file domain_decomposition.ms + +frame job_properties_subm_header_fr file job_common.ms +frame job_properties_subm_footer_fr file job_common.ms + + +browser usersub_file_browser { + text "$usersub_file_browser_label" ($usersub_file_browser_label) + filter "*.f *.F *.f90 *.F90" + select_files true + command "$usersub_file_browser_command" ($usersub_file_browser_command) +} + + + +browser host_file_browser { + text "$host_file_browser_label" ($host_file_browser_label) + filter "*" + select_files true + command "$host_file_browser_command" ($host_file_browser_command) +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_popmenu { + + text "RUN JOB" + + group { + + frame { + position 1 1 + size 60 4 + group { + label { + position 0 1 + size 15 4 + text "NAME" + help job_run + } + display { + position +12 = + size 45 4 + display "job_name" + } + label { + position 0 +4 + size 15 4 + text "TYPE" + help job_run + } + display { + position +12 = + size 45 4 + display job_class_label + } + } + } + + frame { + text "USER SUBROUTINES" + position 1 +4 + size 60 4 + group { + button { + position 0 0 + size 30 4 + text "FORTRAN SOURCE FILE" + help "job_run#User Subroutines" + browser usersub_file_browser + settext $usersub_file_browser_label "SELECT USER SUBROUTINE FILE" + set $usersub_file_browser_command "*job_usersub_file" + } + toggle { + position +30 = + size 30 4 + text "SELECTED USER SUBS" + help "job_run#User Subroutines" + toggle job_usersubs + active job_usersubs + popmenu job_usersub_pm + } + display { + position 0 +4 + size 60 4 + display job_usersub_file + visible job_usersub_file + } + button { + position 0 +4 + size 15 4 + text "EDIT" + help "job_run#User Subroutines" + command "*job_edit_usersub_file" + visible job_usersub_file + } + button { + position +15 = + size 15 4 + text "CLEAR" + help "job_run#User Subroutines" + command "*job_clear_usersub_file" + visible job_usersub_file + } + roller { + position +15 = + size 30 4 + nvalues 3 + texts "COMPILE / NO SAVE" + "COMPILE AND SAVE" + "RUN SAVED EXECUTABLE" + help "job_run#User Subroutines" + roller "job_option user_source" + visible job_usersub_file + commands "*job_option user_source:compile_nosave" + "*job_option user_source:compile_save" + "*job_option user_source:run_saved" + } + } + } + + frame { + text "SOLVER/PARALLELIZATION" + position 1 +4 + size 60 4 + group { + button { + position 0 0 + size 30 4 + text "SETTINGS" + help "job_run#Solver/Parallelization" + popmenu job_run_parallelization_pm + set $popname2 "job_run_parallelization_pm" + } + display { + position 0 +4 + size 30 4 + display job_solver_solution + } + display { + position +30 = + size 30 4 + display job_ddm_domains + } + display { + position 0 +4 + size 30 4 + display job_solver_type + } + display { + position +30 = + size 30 4 + display job_assem_recov_nthreads + } + display { + position = +4 + size 30 4 + display job_solver_procs + visible solver_allows_multi_procs + } + display { + position = = + size 18 4 + display job_solver_threads + visible "and(solver_allows_multi_threads,\ + not(and(job_solver_mfront_sparse,\ + *job_option parallel:on)),\ + *job_option solver_use_gpu:off)" + } + display { + position +18 = + size 12 4 + display job_solver_gpu + visible "or(and(job_solver_mfront_sparse,job_nonsym_off), \ + and(job_solver_it_sparse,job_nonsym_off))" + } + } + } + + frame { + text "INPUT STYLE AND JOB TITLE" + position 1 +4 + size 60 4 + group { + +# see also job_common.ms +# see also the ADVANCED JOB SUBMISSION popmenu in this file + + label { + position 0 0 + size 8 4 + text "STYLE" + help "job_run#Input Style And Job Title" + border_width 1 + border_color black + } + roller { + position +8 = + size 22 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help "job_run#Input Style And Job Title" + } + button { + position +22 = + size 15 4 + text "TITLE" + help "job_run#Input Style And Job Title" + popmenu job_title_pm + command "*job_title" + } + button { + position +15 = + size 15 4 + text "SAVE MODEL" + help "job_run#Input Style And Job Title" + command "*save_model" + } + } + } + + frame { + text "JOB SUBMISSION AND CONTROL" + position 1 +4 + size 60 4 + group { + frame { + position 1 1 + size 50 4 + group { + button { + position 0 0 + size 25 4 + text "SUBMIT (1)" + help "job_run#Job Submission And Control" + command "*submit_job 1 *monitor_job" + } + button { + position +25 = + size 18 4 + text "ADVANCED JOB SUBMISSION" + help "job_run#Job Submission And Control" + popmenu job_submit_adv_pm + } + button { + position +18 = + size 7 4 + text "DAMASK" + help "damask_run#Job Submission And Control" + popmenu damask + } + button { + position 0 +4 + size 12 4 + text "UPDATE" + help "job_run#Job Submission And Control" + command "*update_job" + } + button { + position +12 = + size 13 4 + text "MONITOR" + help "job_run#Job Submission And Control" + command "*monitor_job" + } + button { + position +13 = + size 12 4 + text "RESET" + help "job_run#Job Submission And Control" + command "*job_submit_reset" + } + button { + position +12 = + size 13 4 + text "KILL" + help "job_run#Job Submission And Control" + command "*kill_job *monitor_job" + active "job_status_running" + } + } + } + + frame { + position 1 5 + size 50 4 + group { + label { + position 0 +4 + size 25 4 + text "STATUS" + help "job_run#Status" + border_width 1 + border_color black + } + display { + position +25 = + size 25 4 + display "job_status" + } + label { + position 0 +4 + size 25 4 + text "CURRENT INCREMENT (CYCLE)" + help "job_run#Current Increment" + border_width 1 + border_color black + } + display { + position +25 = + size 25 4 + display "job_increment" + } + label { + position 0 +4 + size 25 4 + text "SINGULARITY RATIO" + help "job_run#Singularity Ratio" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_singularity_ratio" + } + label { + position 0 +4 + size 25 4 + text "CONVERGENCE RATIO" + help "job_run#Convergence Ratio" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_convergence_ratio" + } + label { + position 0 +4 + size 25 4 + text "FRACTION OF INCREMENT (CONTACT)" + help "job_run#IPC" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_ipc_fraction" + } + label { + position 0 +4 + size 25 4 + text "ANALYSIS TIME" + help "job_run#Analysis Time" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_analysis_time" + } + } + } + + frame { + position 1 +4 + size 50 4 + group { + + frame { + position 0 0 + size 50 4 + text "ACCUMULATED ANALYSIS STATISTICS" + border_width 1 + border_color black + group { + label { + position 0 0 + size 12 4 + text "CYCLES" + help "job_run#Cycles" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_cycles" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "SEPARATIONS" + help "job_run#Separations" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_separations" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "WARNING MESSAGES" + help "job_run#Warnings" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "number_of_warning_messages" + border_width 1 + border_color black + } + label { + position +12 -8 + size 12 4 + text "CUT BACKS" + help "job_run#Cut Backs" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_cut_backs" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "REMESHES" + help "job_run#Remeshes" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_remeshes" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "WALL TIME" + help "job_run#Wall Time" + border_width 1 + border_color black + } + display { + position +12 = + size 12 4 + display "job_time" + } + } + } + + frame { + position 0 +4 + size 50 4 + text "JOB COMPLETION" + border_width 1 + border_color black + group { + label { + position 0 +4 + size 12 4 + text "EXIT NUMBER" + help "job_run#Exit Number" + border_width 1 + border_color black + } + integer { + position +12 = + size 13 4 + display "job_exit" + } + button { + position +13 = + size 25 4 + text "EXIT MESSAGE" + help "job_run#Exit Number" + popmenu job_exit_msg_pm + } + } + } + } + } + } + } + frame { + text "EDIT FILES" + position 1 +4 + size 60 4 + group { + frame { + position 1 1 + size 60 4 + group { + button { + position 0 +4 + size 15 4 + text "OUTPUT FILE" + help "job_run#Edit Files" + command "*job_edit_output" + } + button { + position +15 = + size 15 4 + text "LOG FILE" + help "job_run#Edit Files" + command "*job_edit_log_file" + } + button { + position +15 = + size 15 4 + text "STATUS FILE" + help "job_run#Edit Files" + command "*job_edit_status_file" + } + button { + position +15 = + size 15 4 + text "ANY FILE" + help "job_run#Edit Files" + settext $edit_browser_label "EDIT FILE" + set $edit_browser_command "*edit_file" + browser edit_browser + } + } + } + } + } + + frame { + position 1 +4 + size 60 4 + group { + layout hbox + spacer { + stretch 1 + } + popdown { + position 0 0 + size 60 4 + text "OPEN POST FILE" + help "job_run#Open Post File" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_default" + visible "not(*job_option write_cont_post_file:on)" + } + popdown { + position 0 0 + size 30 4 + text "OPEN POST FILE" + help "job_run#Open Post File" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_default" + visible "*job_option write_cont_post_file:on" + } + popdown { + position 0 0 + size 30 4 + text "OPEN EXPANDED BEAM POST FILE" + help "job_run#Open Expanded Beam Post File" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_con_default" + visible "*job_option write_cont_post_file:on" + } + spacer { + stretch 1 + } + } + } + + frame { + position 1 +5 + size 60 4 + group { + layout hbox + spacer { + stretch 1 + } + popdown { + size 12 4 + text "OK" + } + spacer { + stretch 1 + } + } + } + } + + window job_run_wi { + parent mentat + origin 35 1 + size 52 115 + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_usersub_pm { + + text "CURRENTLY SELECTED USER SUBROUTINES" + + group { + + + display { + position 1 +5 + size 64 86 + display "job_usersubs" + } + + popdown { + position 27 +88 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 66 102 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_submit_adv_pm { + + text "ADVANCED JOB SUBMISSION" + + group { + + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + label { + position 1 9 + size 19 4 + text "INITIAL ALLOCATION" + border_width 1 + border_color black + } + label { + position +19 = + size 15 4 + text "GENERAL MEMORY" + help job_param_general_init_allocation + } + text { + position +15 = + size 10 4 + display "job_param_value_general_init_allocation" + command "*job_param general_init_allocation" + help job_param_general_init_allocation + } + + label { + position +10 = + size 4 4 + text "MB" + border_width 1 + border_color black + } + + toggle { + position 1 +5 + size 32 4 + text "OUT-OF-CORE ELEMENT STORAGE" + help job_param_elsto + toggle "*job_option elsto:on" + true_command "*job_option elsto:on" + false_command "*job_option elsto:off" + } + + toggle { + position 1 +4 + size 32 4 + text "OUT-OF-CORE INCREMENTAL BACKUP" + help job_param_inc_backup_storage + toggle "*job_option inc_backup_storage:out_of_core" + true_command "*job_option inc_backup_storage:out_of_core" + false_command "*job_option inc_backup_storage:in_core" + } + + toggle { + position +34 = + size 14 4 + text "CHECK SIZES" + help job_run_check + toggle "*job_option check:on" + true_command "*job_option check:on" + false_command "*job_option check:off" + } + + frame { + position 1 +6 + size 48 12 + text "MARC INPUT FILE" + border_width 1 + border_color black + + group { + + label { + position 0 4 + size 9 4 + text "VERSION" + border_width 1 + border_color black + } + + roller { + position +9 = + size 14 4 + nvalues 29 + nvisible 29 + texts "DEFAULT" +#if 0 + "2020" +#endif + "2019.1" + "2019" + "2018.1" + "2018" + "2017.1" + "2017" + "2016" + "2015" + "2014.2" + "2014.1" + "2014" + "2013.1" + "2013" + "2012" + "2011" + "2010.2" + "2010" + "2008" + "2007" + "2005R3" + "2005" + "2003" + "2001" + "2000" +#if 0 + "8" +#endif + "K7" + "K6.2" + "K5" + "K4" + help job_param_version + rollers "job_input_version_default" +#if 0 + "job_input_version_2020" +#endif + "job_input_version_2019.1" + "job_input_version_2019" + "job_input_version_2018.1" + "job_input_version_2018" + "job_input_version_2017.1" + "job_input_version_2017" + "job_input_version_2016" + "job_input_version_2015" + "job_input_version_2014.2" + "job_input_version_2014.1" + "job_input_version_2014" + "job_input_version_2013.1" + "job_input_version_2013" + "job_input_version_2012" + "job_input_version_2011" + "job_input_version_2010.2" + "job_input_version_2010" + "job_input_version_2008" + "job_input_version_2007" + "job_input_version_2005r3" + "job_input_version_2005" + "job_input_version_2003" + "job_input_version_2001" + "job_input_version_2000" +#if 0 + "job_input_version_8" +#endif + "job_input_version_k7" + "job_input_version_k6" + "job_input_version_k5" + "job_input_version_k4" + commands "*job_option version:default" +#if 0 + "*job_option version:2020" +#endif + "*job_option version:2019.1" + "*job_option version:2019" + "*job_option version:2018.1" + "*job_option version:2018" + "*job_option version:2017.1" + "*job_option version:2017" + "*job_option version:2016" + "*job_option version:2015" + "*job_option version:2014.2" + "*job_option version:2014.1" + "*job_option version:2014" + "*job_option version:2013.1" + "*job_option version:2013" + "*job_option version:2012" + "*job_option version:2011" + "*job_option version:2010.2" + "*job_option version:2010" + "*job_option version:2008" + "*job_option version:2007" + "*job_option version:2005r3" + "*job_option version:2005" + "*job_option version:2003" + "*job_option version:2001" + "*job_option version:2000" +#if 0 + "*job_option version:8" +#endif + "*job_option version:k7" + "*job_option version:k6" + "*job_option version:k5" + "*job_option version:k4" + visibles "job_allows_input_version_default" +#if 0 + "job_allows_input_version_2020" +#endif + "job_allows_input_version_2019.1" + "job_allows_input_version_2019" + "job_allows_input_version_2018.1" + "job_allows_input_version_2018" + "job_allows_input_version_2017.1" + "job_allows_input_version_2017" + "job_allows_input_version_2016" + "job_allows_input_version_2015" + "job_allows_input_version_2014.2" + "job_allows_input_version_2014.1" + "job_allows_input_version_2014" + "job_allows_input_version_2013.1" + "job_allows_input_version_2013" + "job_allows_input_version_2012" + "job_allows_input_version_2011" + "job_allows_input_version_2010.2" + "job_allows_input_version_2010" + "job_allows_input_version_2008" + "job_allows_input_version_2007" + "job_allows_input_version_2005r3" + "job_allows_input_version_2005" + "job_allows_input_version_2003" + "job_allows_input_version_2001" + "job_allows_input_version_2000" +#if 0 + "job_allows_input_version_8" +#endif + "job_allows_input_version_k7" + "job_allows_input_version_k6" + "job_allows_input_version_k5" + "job_allows_input_version_k4" + } + +# see also job_common.ms +# see also the RUN JOB popmenu in this file + + label { + position +14 = + size 7 4 + text "STYLE" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help job_option_input_style + } + + toggle { + position 0 +4 + size 24 4 + text "EXTENDED PRECISION" + help job_run_precision + toggle "*job_option inp_file_prec:extended" + true_command "*job_option inp_file_prec:extended" + false_command "*job_option inp_file_prec:normal" + } + toggle { + position +24 = + size 24 4 + text "INCLUDE UNUSED TABLES" + toggle "*job_option input_file_tables:all" + true_command "*job_option input_file_tables:all" + false_command "*job_option input_file_tables:used" + } + } + } + + button { + position 1 +14 + size 24 4 + text "SCRATCH DIRECTORY" + settext $directory_browser_label "JOB SCRATCH DIRECTORY" + set $directory_browser_command "*job_scratch_directory" + browser directory_browser + help job_scratch_directory + } + + button { + position +24 = + size 24 4 + text "CLEAR" + command "*job_clear_scratch_directory" + visible job_scratch_directory + } + + text { + position 1 +4 + size 48 4 + display job_scratch_dir + command "*job_scratch_directory" + } + +#ifdef DCOM + toggle { + position 1 +6 + size 8 4 + text "\{DCOM}" + toggle "*job_option dcom:on" + help job_run_dcom + true_command "*job_option dcom:on" + false_command "*job_option dcom:off" + visible win32_available + } + + button { + position +8 = + size 12 4 + text "HOSTNAME" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } + + text job_dcom_hostname { + position +12 = + size 28 4 + display "job_dcom_hostname" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } +#endif + + button { + position 1 +6 + size 24 4 + text "TITLE" + popmenu job_title_pm + command "*job_title" + } + + button { + position +24 = + size 24 4 + text "SAVE MODEL" + command "*save_model" + } + + button { + position +4 +6 + size 20 4 + text "WRITE INPUT FILE" + command "*job_write_input" + } + + button { + position = +4 + size 20 4 + text "EDIT INPUT FILE" + command "*job_edit_input" + } + + popdown { + position 1 +5 + size 20 6 + text "SUBMIT 1" + command "*submit_job 1 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 1" + command "*execute_job 1 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 2" + command "*submit_job 2 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 2" + command "*execute_job 2 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 3" + command "*submit_job 3 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 3" + command "*execute_job 3 *monitor_job" + } + + popdown { + position 19 +8 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 +#ifdef DCOM + size 50 100 +#else + size 50 94 +#endif + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + +#-------------------------------------------------------------------------------------------------- +popmenu damask { + +#ifdef QT_MENTAT + text "DAMASK.MPIE.DE" +#endif + + group { +#ifndef QT_MENTAT + label { + position 0 0 + size 50 4 + text "DAMASK.MPIE.DE" + } +#endif + + label { + position 1 6 + size 13 6 + text "Optimzation" + border_width 1 + border_color black + } + + label { + position +13 = + size 20 6 + text "write Input" + border_width 1 + border_color black + } + + label { + position +18 = + size 30 6 + text "do not write Inp." + border_width 1 + border_color black + } + + label { + position -32 +6 + size 12 6 + text "O2 / OpenMP" + border_width 1 + border_color black + } + + popdown { + position +12 = + size 20 6 + text "Submit" + command "*submit_job 4 *monitor_job" + } + + popdown { + position +20 = + size 20 6 + text "Execute" + command "*execute_job 4 *monitor_job" + } + + label { + position -32 +6 + size 12 6 + text "O1 / OpenMP" + border_width 1 + border_color black + } + + popdown { + position +12 = + size 20 6 + text "Submit" + command "*submit_job 5 *monitor_job" + } + + popdown { + position +20 = + size 20 6 + text "Execute" + command "*execute_job 5 *monitor_job" + } + + label { + position -32 +6 + size 12 6 + text "O0 / OpenMP" + border_width 1 + border_color black + } + + popdown { + position +12 = + size 20 6 + text "Submit" + command "*submit_job 6 *monitor_job" + } + + popdown { + position +20 = + size 20 6 + text "Execute" + command "*execute_job 6 *monitor_job" + } + + popdown { + position 19 +8 + size 12 8 + text "CANCEL" + } +} + + window { + parent mentat + origin 38 8 +#ifdef DCOM + size 50 100 +#else + size 50 94 +#endif + background_color body + border_width 1 + border_color border + buffering single + } + mode permanent +} + +#-------------------------------------------------------------------------------------------------- +popmenu job_exit_msg_pm { + + text "EXIT MESSAGE" + + group { + + + + text { + position 1 5 + size 84 74 + multiline + readonly + display "job_exit_msg" + } + + popdown { + position 37 +76 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 86 90 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_parallelization_pm { + + text "SOLVER/PARALLELIZATION" + + group { + layout vbox + frame { + position 0 0 + size 42 8 + group { + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 36 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 36 4 + display job_class_label + } + } + } + frame { + position 0 8 + size 42 20 + group job_ddm_gr + text "DOMAIN DECOMPOSITION" + border_width 1 + border_color black + } + + frame { + position 0 +20 + size 42 13 + group job_assem_recov_gr + text "ASSEMBLY AND RECOVERY" + border_width 1 + border_color black + } + + frame { + position 0 +14 + size 42 31 + group job_parallel_matrix_solver_gr + text "MATRIX SOLVER" + border_width 1 + border_color black + } + + frame { + position 0 +32 + size 42 28 + group job_parallel_env_gr + text "PARALLELIZATION ENVIRONMENT" + border_width 1 + border_color black + visible "or(*job_option parallel:on, \ + solver_multi_procs)" + } + frame { + position 15 +30 + size 42 8 + group { + layout hbox + + spacer { + stretch 1 + } + popdown { + position 15 0 + size 12 8 + text "OK" + } + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + stretch 1 + } + } + + window { + parent mentat + origin 38 1 + size 60 119 + background_color body + border_width 1 + border_color border + buffering single + } + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_gr { + + toggle { + position 1 4 + size 42 4 + text "USE \{DDM}" + toggle "*job_option parallel:on" + help job_run_ddm_use + true_command "*job_option parallel:on" + false_command "*job_option parallel:off" + active "and(not(job_solver_it_ext),\ + not(job_solver_mixed_direct_iterative))" + } + + frame { + position = +5 + size 42 4 + group job_ddm_use_gr + visible "*job_option parallel:on" + } +} + +group job_ddm_use_gr { + layout vbox + frame{ + position 0 0 + size 30 4 + group { + layout hbox + label { + position 0 0 + size 12 4 + text "DECOMPOSITION IN" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MARC" + oneonly "*job_option ddm_generator:fea_solver" + command "*job_option ddm_generator:fea_solver" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MENTAT" + oneonly "*job_option ddm_generator:preprocessor" + command "*job_option ddm_generator:preprocessor" + help job_run_ddm_generator + } + } + } + + frame { + position 0 +5 + size 44 8 + group job_ddm_fea_solver_gr + visible "*job_option ddm_generator:fea_solver" + } + + frame { + position = = + size 44 8 + group job_ddm_preprocessor_gr + visible "*job_option ddm_generator:preprocessor" + } + + frame{ + position 0 +5 + size 40 4 + group{ + layout hbox + text { + position 0 0 + size 22 4 + text "Single Input File" + readonly + visible "*job_option ddm_generator:fea_solver" + } + + roller { + position = = + size 22 4 + nvalues 2 + texts "MULTIPLE INPUT FILES" + "SINGLE INPUT FILE" + roller "job_option ddm_single_input" + commands "*job_option ddm_single_input:off" + "*job_option ddm_single_input:on" + visible "*job_option ddm_generator:preprocessor" + help job_run_ddm_single_input + } + + roller { + position +23 = + size 21 4 + nvalues 2 + texts "MULTIPLE POST FILES" + "SINGLE POST FILE" + roller "job_option ddm_single_post" + commands "*job_option ddm_single_post:off" + "*job_option ddm_single_post:on" + help job_run_ddm_single_post + } + } + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_fea_solver_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + help job_param + } + + text { + position +10 = + size 4 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + label { + position 0 +4 + size 7 4 + text "METHOD" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "REC. COORD. BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + button { + position +18 = + size 12 4 + text "ADV. SETTINGS" + popmenu job_ddm_fea_solver_pm + } +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_ddm_fea_solver_pm { + text "JOB PARALLELIZATION" + mode permanent + + group { + layout vbox + spacing 0 + + frame job_properties_subm_header_fr + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + frame { + text "ADVANCED DECOMPOSITION IN MARC" + + group { + layout vbox + spacing 0 + + frame { + + group { + layout hbox + spacing 0 + + label { + size 12 4 + text "# DOMAINS" + help job_param + } + + text { + size 14 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + size 8 4 + text "METHOD" + } + + roller { + size 32 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "RECURSIVE COORDINATE BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + visible "or(*job_option ddm_method:vector, \ + *job_option ddm_method:radial, \ + *job_option ddm_method:angular)" + + group { + layout hbox + spacing 0 + + frame { + group job_ddm_direction_gr + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + toggle { + size 24 4 + text "DOMAIN ISLAND REMOVAL" + toggle "*job_option ddm_island_removal:on" + true_command "*job_option ddm_island_removal:on" + false_command "*job_option ddm_island_removal:off" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + size 8 4 + text "GRAPH" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + } + + roller { + size 8 4 + nvalues 2 + texts "COARSE" + "FINE" + help ddm_decomp_coarse_graph + rollers "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + commands "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + size 20 4 + text "QUADRATIC ELEMENTS" + } + + roller { + size 12 4 + nvalues 2 + texts "GENUINE" + "LINEARIZED" + help job_run_ddm_decomp_linearized + rollers "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + commands "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + position 0 +5 + size 24 4 + text "ELEMENT WEIGHT FACTOR" + help job_param + } + + text { + position +24 = + size 14 4 + display "job_param_value_ddm_elem_weight_factor" + command "*job_param ddm_elem_weight_factor" + help job_run_ddm_decomp_element_weight_factor + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + + group { + layout hbox + spacing 0 + + frame { + + group { + + toggle { + position 0 0 + size 16 4 + text "DETECT CONTACT" + toggle "*job_option ddm_detect_contact:on" + true_command "*job_option ddm_detect_contact:on" + false_command "*job_option ddm_detect_contact:off" + help job_run_ddm_decomp_detect_contact + } + + label { + position = +5 + size 28 4 + text "CONTACT TOLERANCE" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +28 = + size 14 4 + command "*set_ddm_contact_tolerance" + display "job_param_value_ddm_contact_tolerance" + command "*job_param ddm_contact_tolerance" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_tolerance + } + + label { + position 0 +4 + size 28 4 + text "CONTACT CONSTRAINT FACTOR" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +28 = + size 14 4 + display "job_param_value_ddm_contact_constr_factor" + command "*job_param ddm_contact_constr_factor" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_constraint_factor + } + } + } + + spacer { + stretch 1 + } + } + } + } + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame job_properties_subm_footer_fr + } +} # job_ddm_fea_solver_pm + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_direction_gr { + + button { + position 0 0 + size 21 4 + text "DIRECTION" + command "*job_vector ddm_sort_direction_x" + visible "model_anadim_3d" + } + + button { + position = = + size 21 4 + text "DIRECTION" + command "*job_vector_2d ddm_sort_direction_x" + visible "not(model_anadim_3d)" + } + + button { + position +21 = + size 21 4 + text "FROM / TO" + command "*job_vector_from_to ddm_sort_direction_x" + visible "model_anadim_3d" + } + + button { + position = = + size 21 4 + text "FROM / TO" + command "*job_vector_from_to_2d ddm_sort_direction_x" + visible "not(model_anadim_3d)" + } + + frame { + position 0 +4 + size 42 4 + + group { + layout hbox + spacing 0 + + text { + size 14 4 + command "*job_param ddm_sort_direction_x" + display "job_param_value_ddm_sort_direction_x" + help ddm_job_decomp_user_direction_x + } + + text { + size 14 4 + command "*job_param ddm_sort_direction_y" + display "job_param_value_ddm_sort_direction_y" + } + + text { + size 14 4 + command "*job_param ddm_sort_direction_z" + display "job_param_value_ddm_sort_direction_z" + visible "model_anadim_3d" + } + } + } + + frame { + position 0 +4 + size 42 8 + group job_ddm_sort_point_gr + visible "not(*job_option ddm_method:vector)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_sort_point_gr { + + label { + position 0 0 + size 16 4 + text "POINT ON AXIS" + } + + roller { + position +16 = + size 10 4 + nvalues 2 + texts "DEFAULT" + "USER" + roller "job_option ddm_sort_point" + commands "*job_option ddm_sort_point:default" + "*job_option ddm_sort_point:user" + } + + button { + position +20 = + size 6 4 + text "SET" + command "*job_position ddm_sort_point_x" + visible "and(*job_option ddm_sort_point:user, model_anadim_3d)" + } + + button { + position = = + size 6 4 + text "SET" + command "*job_position_2d ddm_sort_point_x" + visible "and(*job_option ddm_sort_point:user, not(model_anadim_3d))" + } + + frame { + position 0 +4 + size 42 4 + visible "*job_option ddm_sort_point:user" + + group { + layout hbox + spacing 0 + + text { + size 14 4 + command "*job_param ddm_sort_point_x" + display "job_param_value_ddm_sort_point_x" + } + + text { + size 14 4 + command "*job_param ddm_sort_point_y" + display "job_param_value_ddm_sort_point_y" + } + + text { + size 14 4 + command "*job_param ddm_sort_point_z" + display "job_param_value_ddm_sort_point_z" + visible "model_anadim_3d" + } + } + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_preprocessor_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + border_width 1 + border_color black + } + + integer { + position +10 = + size 4 4 + display valid_domains + } + + button { + position 0 +4 + size 30 4 + text "USER DOMAINS" + popmenu domains_pm + help job_run_ddm_user_domains + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_assem_recov_gr { + + toggle { + position 1 +4 + size 30 4 + text "MULTIPLE THREADS" + true_command "*job_option assem_recov_multi_threading:on" + false_command "*job_option assem_recov_multi_threading:off" + toggle "*job_option assem_recov_multi_threading:on" + } + + label { + position = +4 + size 12 4 + text "# THREADS" + visible "*job_option assem_recov_multi_threading:on" + } + + text { + position +12 = + size 4 4 + display "job_param_value_assem_recov_nthreads" + command "*job_param assem_recov_nthreads" + visible "*job_option assem_recov_multi_threading:on" + } + + label { + position +4 = + size 10 4 + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + } + + display { + position +12 = + size 4 4 + display "job_assem_recov_nthreads_dom" + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + } + spacer{ + stretch 2 + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_matrix_solver_gr { + layout vbox + frame { + position 1 0 + size 36 31 + group { + layout hbox + label { + position 3 4 + size 12 4 + text "SOLUTION" + border_width 1 + border_color black + } + oneonly { + position +12 = + size 12 4 + text "SYMMETRIC" + help "job_param_solver_method#symmetric" + oneonly "job_nonsym_off" + command "*job_option solver_nonsym:off" + } + oneonly { + position +12 = + size 12 4 + text "NONSYMMETRIC" + help "job_param_solver_method#symmetric" + oneonly "job_nonsym_on" + command "*job_option solver_nonsym:on" + } + spacer { + stretch 1 + } + } + } + + frame { + position 1 +5 + size 42 23 + group matrix_solver_gr + help job_param_solver + } + + frame { + position +1 = + size 42 4 + group job_run_solver_ddm_opts_gr + visible "*job_option parallel:on" + } + + frame { + position 1 +23 + size 42 8 + group job_solver_multi_procs_gr + visible solver_allows_multi_procs + } + + frame { + position = = + size 42 8 + group job_solver_multi_threads_gr + visible solver_allows_multi_threads + } + + frame { + position 1 +9 + size 42 8 + group job_solver_gpu_gr + visible "or(and(job_solver_mfront_sparse,job_nonsym_off), \ + and(job_solver_it_sparse,job_nonsym_off))" + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_run_solver_ddm_opts_gr { + + button { + position 0 0 + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options +# see also job_common.ms! + visible "not(or(job_solver_it_sparse, \ + job_solver_it_ext, \ + job_solver_mixed_direct_iterative, \ + job_solver_pardiso,\ + job_solver_mumps))" + } + button { + position = = + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options_mumps + visible "job_solver_mumps" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_gr { + frame { + position 0 0 + size 42 8 + group job_solver_multi_procs_parallel_off_gr + visible "*job_option parallel:off" + } + + frame { + position = = + size 42 8 + group job_solver_multi_procs_parallel_on_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + true_command "*job_option nsolver_procs_serial:on" + false_command "*job_option nsolver_procs_serial:off" + toggle "*job_option nsolver_procs_serial:on" + help "job_param_solver_method#mumps" + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + visible "*job_option nsolver_procs_serial:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + visible "*job_option nsolver_procs_serial:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + help "job_param_solver_method#mumps" + toggle true + set $dummy dummy + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + border_width 1 + border_color black + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + help "job_param_solver_method#mumps" + rollers "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_nsolver_procs_ddm_automatic_gr + visible "*job_option nsolver_procs_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_nsolver_procs_ddm_user_gr + visible "*job_option nsolver_procs_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_param + } + + text { + position +8 = + size 8 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + } +} + +group job_solver_multi_threads_gr { + layout vbox + spacing 0 + + frame { + size 46 8 + group job_solver_multi_threads_it_sparse_parallel_off_gr + visible "and(job_solver_it_sparse,*job_option parallel:off)" + active "*job_option solver_use_gpu:off" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_off_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:off)" + active "*job_option solver_use_gpu:off" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_on_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_off_gr + visible "and(job_solver_pardiso,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_on_gr + visible "and(job_solver_pardiso,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_it_ext_off_gr + visible "and(job_solver_it_ext,*job_option parallel:off)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_sparse_multi_threading:on" + true_command "*job_option it_sparse_multi_threading:on" + false_command "*job_option it_sparse_multi_threading:off" + help "job_param_solver_method#iterative" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_sparse_multi_threading:on" + help "job_param_solver_method#iterative" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_sparse_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option mfront_sparse_multi_threading:on" + true_command "*job_option mfront_sparse_multi_threading:on" + false_command "*job_option mfront_sparse_multi_threading:off" + help "job_param_solver_method#multifrontal" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option mfront_sparse_multi_threading:on" + help "job_param_solver_method#multifrontal" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option mfront_sparse_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help "job_param_solver_method#multifrontal" + toggle true + set $dummy dummy + } + + label { + position +30 0 + size 12 4 + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + help "job_param_solver_method#multifrontal" + } + + display { + position +12 0 + size 4 4 + display "job_mfront_sparse_nthreads_dom" + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + } + + label { + position 0 +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + help "job_param_solver_method#multifrontal" + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + help "job_param_solver_method#multifrontal" + rollers "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + visible "not(*job_option solver_use_gpu:on)" + } + + display { + position = = + size 14 4 + text "AUTOMATIC" + visible "*job_option solver_use_gpu:on" + } + + frame { + position +14 = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_automatic_gr + visible "*job_option mfront_sparse_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_user_gr + visible "*job_option mfront_sparse_multi_threading_ddm:user" + } +} +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help "job_param_solver_method#multifrontal" + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + + + +#-------------------------------------------------------------------------------------------------- +group job_solver_gpu_gr { + + toggle { + position 0 0 + size 30 4 + text "USE \{GPU(s)}" + toggle "*job_option solver_use_gpu:on" + true_command "*job_option solver_use_gpu:on" + false_command "*job_option solver_use_gpu:off" + help job_solver_gpu + } + frame{ + position 0 +4 + size 28 4 + group{ + layout hbox + + label { + position 0 0 + size 16 4 + text "\{GPU} SELECTION" + border_width 1 + border_color black + visible "*job_option solver_use_gpu:on" + } + + roller { + position +16 = + size 12 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + rollers "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + visible "*job_option solver_use_gpu:on" + help job_solver_gpu + } + + text { + position +12 = + size 12 4 + display job_solver_gpus + command "*clear_job_solver_gpus *job_solver_gpus" + visible "and(*job_option solver_use_gpu:on,*job_option solver_gpus:user)" + } + spacer { + stretch 1 + } + } + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option pardiso_multi_threading:on" + true_command "*job_option pardiso_multi_threading:on" + false_command "*job_option pardiso_multi_threading:off" + help "job_param_solver_method#pardiso" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option pardiso_multi_threading:on" + help "job_param_solver_method#pardiso" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option pardiso_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help "job_param_solver_method#pardiso" + toggle true + set $dummy dummy + } + + label { + position = +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + help "job_param_solver_method#pardiso" + rollers "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_pardiso_multi_threads_ddm_automatic_gr + visible "*job_option pardiso_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_pardiso_multi_threads_ddm_user_gr + visible "*job_option pardiso_multi_threading_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help "job_param_solver_method#pardiso" + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_ext_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_ext_multi_threading:on" + true_command "*job_option it_ext_multi_threading:on" + false_command "*job_option it_ext_multi_threading:off" + help "job_param_solver_method#casi" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_ext_multi_threading:on" + help "job_param_solver_method#casi" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_ext_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_gr { + + frame{ + position 0 +4 + size 40 4 + group{ + layout hbox + label{ + position 0 0 + size 8 4 + text "SETUP" + help job_run_ddm_setup + } + oneonly { + position +12 = + size 12 4 + text "SINGLE MACHINE" + oneonly "*job_option parallel_setup:single" + command "*job_option parallel_setup:single" + help job_run_ddm_setup + } + oneonly { + position +8 = + size 12 4 + text "NETWORK" + oneonly "*job_option parallel_setup:network" + command "*job_option parallel_setup:network" + help job_run_ddm_setup + } + + spacer { + stretch 1 + } + } + } + + + frame { + position +1 +5 + size 40 16 + group job_parallel_env_network_gr + visible "*job_option parallel_setup:network" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_gr { + + button { + position 0 0 + size 28 4 + text "HOST FILE" + browser host_file_browser + settext $host_file_browser_label "SELECT HOST FILE" + set $host_file_browser_command "*job_host_file" + help job_host_file + } + + button { + position +28 = + size 8 4 + text "EDIT" + command "*job_edit_host_file" + help job_edit_host_file + visible job_host_file + } + + button { + position +8 = + size 8 4 + text "CLEAR" + command "*job_clear_host_file" + help job_clear_host_file + visible job_host_file + } + + display { + position 0 +4 + size 44 4 + display job_host_file + } + + frame { + position 0 +5 + size 44 9 + group job_parallel_env_network_ddm_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_ddm_gr { + + toggle { + position 0 0 + size 22 4 + text "COPY INPUT FILE" + toggle "*job_option copy_input_file:on" + true_command "*job_option copy_input_file:on" + false_command "*job_option copy_input_file:off" + help job_host_copy_inputfile + } + + toggle { + position +23 = + size 21 4 + text "COPY POST FILE" + toggle "*job_option copy_post_file:on" + true_command "*job_option copy_post_file:on" + false_command "*job_option copy_post_file:off" + help job_host_copy_inputfile + } + + label { + position 0 +5 + size 10 4 + text "HOSTS" + border_width 1 + border_color black + visible job_usersub_file + } + + roller { + position +10 = + size 18 4 + nvalues 2 + texts "COMPATIBLE" + "INCOMPATIBLE" + roller "job_option network_hosts" + commands "*job_option network_hosts:compatible" + "*job_option network_hosts:incompatible" + help job_host_comp + visible job_usersub_file + } +} + + +#endif + diff --git a/installation/mods_MarcMentat/2020/Mentat_menus/job_run.ms.original b/installation/mods_MarcMentat/2020/Mentat_menus/job_run.ms.original new file mode 100644 index 000000000..e54a95086 --- /dev/null +++ b/installation/mods_MarcMentat/2020/Mentat_menus/job_run.ms.original @@ -0,0 +1,2838 @@ +#ifndef AUTOFORGE +popmenu job_title_pm file jobs.ms +popdown job_title_ok file jobs.ms + +group user_domains_gr file domain_decomposition.ms +group user_domains_generate_gr file domain_decomposition.ms +group user_domains_tail_gr file domain_decomposition.ms +group matrix_solver_gr file job_common.ms +popmenu ddm_options file job_common.ms + +browser edit_browser file file.ms +browser directory_browser file file.ms +screen domains file domain_decomposition.ms + +frame job_properties_subm_header_fr file job_common.ms +frame job_properties_subm_footer_fr file job_common.ms + + +browser usersub_file_browser { + text "$usersub_file_browser_label" ($usersub_file_browser_label) + filter "*.f *.F *.f90 *.F90" + select_files true + command "$usersub_file_browser_command" ($usersub_file_browser_command) +} + + + +browser host_file_browser { + text "$host_file_browser_label" ($host_file_browser_label) + filter "*" + select_files true + command "$host_file_browser_command" ($host_file_browser_command) +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_popmenu { + + text "RUN JOB" + + group { + + frame { + position 1 1 + size 60 4 + group { + label { + position 0 1 + size 15 4 + text "NAME" + help job_run + } + display { + position +12 = + size 45 4 + display "job_name" + } + label { + position 0 +4 + size 15 4 + text "TYPE" + help job_run + } + display { + position +12 = + size 45 4 + display job_class_label + } + } + } + + frame { + text "USER SUBROUTINES" + position 1 +4 + size 60 4 + group { + button { + position 0 0 + size 30 4 + text "FORTRAN SOURCE FILE" + help "job_run#User Subroutines" + browser usersub_file_browser + settext $usersub_file_browser_label "SELECT USER SUBROUTINE FILE" + set $usersub_file_browser_command "*job_usersub_file" + } + toggle { + position +30 = + size 30 4 + text "SELECTED USER SUBS" + help "job_run#User Subroutines" + toggle job_usersubs + active job_usersubs + popmenu job_usersub_pm + } + display { + position 0 +4 + size 60 4 + display job_usersub_file + visible job_usersub_file + } + button { + position 0 +4 + size 15 4 + text "EDIT" + help "job_run#User Subroutines" + command "*job_edit_usersub_file" + visible job_usersub_file + } + button { + position +15 = + size 15 4 + text "CLEAR" + help "job_run#User Subroutines" + command "*job_clear_usersub_file" + visible job_usersub_file + } + roller { + position +15 = + size 30 4 + nvalues 3 + texts "COMPILE / NO SAVE" + "COMPILE AND SAVE" + "RUN SAVED EXECUTABLE" + help "job_run#User Subroutines" + roller "job_option user_source" + visible job_usersub_file + commands "*job_option user_source:compile_nosave" + "*job_option user_source:compile_save" + "*job_option user_source:run_saved" + } + } + } + + frame { + text "SOLVER/PARALLELIZATION" + position 1 +4 + size 60 4 + group { + button { + position 0 0 + size 30 4 + text "SETTINGS" + help "job_run#Solver/Parallelization" + popmenu job_run_parallelization_pm + set $popname2 "job_run_parallelization_pm" + } + display { + position 0 +4 + size 30 4 + display job_solver_solution + } + display { + position +30 = + size 30 4 + display job_ddm_domains + } + display { + position 0 +4 + size 30 4 + display job_solver_type + } + display { + position +30 = + size 30 4 + display job_assem_recov_nthreads + } + display { + position = +4 + size 30 4 + display job_solver_procs + visible solver_allows_multi_procs + } + display { + position = = + size 18 4 + display job_solver_threads + visible "and(solver_allows_multi_threads,\ + not(and(job_solver_mfront_sparse,\ + *job_option parallel:on)),\ + *job_option solver_use_gpu:off)" + } + display { + position +18 = + size 12 4 + display job_solver_gpu + visible "or(and(job_solver_mfront_sparse,job_nonsym_off), \ + and(job_solver_it_sparse,job_nonsym_off))" + } + } + } + + frame { + text "INPUT STYLE AND JOB TITLE" + position 1 +4 + size 60 4 + group { + +# see also job_common.ms +# see also the ADVANCED JOB SUBMISSION popmenu in this file + + label { + position 0 0 + size 8 4 + text "STYLE" + help "job_run#Input Style And Job Title" + border_width 1 + border_color black + } + roller { + position +8 = + size 22 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help "job_run#Input Style And Job Title" + } + button { + position +22 = + size 15 4 + text "TITLE" + help "job_run#Input Style And Job Title" + popmenu job_title_pm + command "*job_title" + } + button { + position +15 = + size 15 4 + text "SAVE MODEL" + help "job_run#Input Style And Job Title" + command "*save_model" + } + } + } + + frame { + text "JOB SUBMISSION AND CONTROL" + position 1 +4 + size 60 4 + group { + frame { + position 1 1 + size 50 4 + group { + button { + position 0 0 + size 25 4 + text "SUBMIT (1)" + help "job_run#Job Submission And Control" + command "*submit_job 1 *monitor_job" + } + button { + position +25 = + size 25 4 + text "ADVANCED JOB SUBMISSION" + help "job_run#Job Submission And Control" + popmenu job_submit_adv_pm + } + button { + position 0 +4 + size 12 4 + text "UPDATE" + help "job_run#Job Submission And Control" + command "*update_job" + } + button { + position +12 = + size 13 4 + text "MONITOR" + help "job_run#Job Submission And Control" + command "*monitor_job" + } + button { + position +13 = + size 12 4 + text "RESET" + help "job_run#Job Submission And Control" + command "*job_submit_reset" + } + button { + position +12 = + size 13 4 + text "KILL" + help "job_run#Job Submission And Control" + command "*kill_job *monitor_job" + active "job_status_running" + } + } + } + + frame { + position 1 5 + size 50 4 + group { + label { + position 0 +4 + size 25 4 + text "STATUS" + help "job_run#Status" + border_width 1 + border_color black + } + display { + position +25 = + size 25 4 + display "job_status" + } + label { + position 0 +4 + size 25 4 + text "CURRENT INCREMENT (CYCLE)" + help "job_run#Current Increment" + border_width 1 + border_color black + } + display { + position +25 = + size 25 4 + display "job_increment" + } + label { + position 0 +4 + size 25 4 + text "SINGULARITY RATIO" + help "job_run#Singularity Ratio" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_singularity_ratio" + } + label { + position 0 +4 + size 25 4 + text "CONVERGENCE RATIO" + help "job_run#Convergence Ratio" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_convergence_ratio" + } + label { + position 0 +4 + size 25 4 + text "FRACTION OF INCREMENT (CONTACT)" + help "job_run#IPC" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_ipc_fraction" + } + label { + position 0 +4 + size 25 4 + text "ANALYSIS TIME" + help "job_run#Analysis Time" + border_width 1 + border_color black + } + float { + position +25 = + size 25 4 + display "job_analysis_time" + } + } + } + + frame { + position 1 +4 + size 50 4 + group { + + frame { + position 0 0 + size 50 4 + text "ACCUMULATED ANALYSIS STATISTICS" + border_width 1 + border_color black + group { + label { + position 0 0 + size 12 4 + text "CYCLES" + help "job_run#Cycles" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_cycles" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "SEPARATIONS" + help "job_run#Separations" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_separations" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "WARNING MESSAGES" + help "job_run#Warnings" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "number_of_warning_messages" + border_width 1 + border_color black + } + label { + position +12 -8 + size 12 4 + text "CUT BACKS" + help "job_run#Cut Backs" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_cut_backs" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "REMESHES" + help "job_run#Remeshes" + border_width 1 + border_color black + } + integer { + position +12 = + size 12 4 + display "acc_job_remeshes" + border_width 1 + border_color black + } + label { + position -12 +4 + size 12 4 + text "WALL TIME" + help "job_run#Wall Time" + border_width 1 + border_color black + } + display { + position +12 = + size 12 4 + display "job_time" + } + } + } + + frame { + position 0 +4 + size 50 4 + text "JOB COMPLETION" + border_width 1 + border_color black + group { + label { + position 0 +4 + size 12 4 + text "EXIT NUMBER" + help "job_run#Exit Number" + border_width 1 + border_color black + } + integer { + position +12 = + size 13 4 + display "job_exit" + } + button { + position +13 = + size 25 4 + text "EXIT MESSAGE" + help "job_run#Exit Number" + popmenu job_exit_msg_pm + } + } + } + } + } + } + } + frame { + text "EDIT FILES" + position 1 +4 + size 60 4 + group { + frame { + position 1 1 + size 60 4 + group { + button { + position 0 +4 + size 15 4 + text "OUTPUT FILE" + help "job_run#Edit Files" + command "*job_edit_output" + } + button { + position +15 = + size 15 4 + text "LOG FILE" + help "job_run#Edit Files" + command "*job_edit_log_file" + } + button { + position +15 = + size 15 4 + text "STATUS FILE" + help "job_run#Edit Files" + command "*job_edit_status_file" + } + button { + position +15 = + size 15 4 + text "ANY FILE" + help "job_run#Edit Files" + settext $edit_browser_label "EDIT FILE" + set $edit_browser_command "*edit_file" + browser edit_browser + } + } + } + } + } + + frame { + position 1 +4 + size 60 4 + group { + layout hbox + spacer { + stretch 1 + } + popdown { + position 0 0 + size 60 4 + text "OPEN POST FILE" + help "job_run#Open Post File" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_default" + visible "not(*job_option write_cont_post_file:on)" + } + popdown { + position 0 0 + size 30 4 + text "OPEN POST FILE" + help "job_run#Open Post File" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_default" + visible "*job_option write_cont_post_file:on" + } + popdown { + position 0 0 + size 30 4 + text "OPEN EXPANDED BEAM POST FILE" + help "job_run#Open Expanded Beam Post File" + command "@popdown(job_properties_pm) @main(results) @popup(modelplot_pm) *post_open_con_default" + visible "*job_option write_cont_post_file:on" + } + spacer { + stretch 1 + } + } + } + + frame { + position 1 +5 + size 60 4 + group { + layout hbox + spacer { + stretch 1 + } + popdown { + size 12 4 + text "OK" + } + spacer { + stretch 1 + } + } + } + } + + window job_run_wi { + parent mentat + origin 35 1 + size 52 115 + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_usersub_pm { + + text "CURRENTLY SELECTED USER SUBROUTINES" + + group { + + + display { + position 1 +5 + size 64 86 + display "job_usersubs" + } + + popdown { + position 27 +88 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 66 102 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_submit_adv_pm { + + text "ADVANCED JOB SUBMISSION" + + group { + + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 26 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 26 4 + display job_class_label + } + + label { + position 1 9 + size 19 4 + text "INITIAL ALLOCATION" + border_width 1 + border_color black + } + label { + position +19 = + size 15 4 + text "GENERAL MEMORY" + help job_param_general_init_allocation + } + text { + position +15 = + size 10 4 + display "job_param_value_general_init_allocation" + command "*job_param general_init_allocation" + help job_param_general_init_allocation + } + + label { + position +10 = + size 4 4 + text "MB" + border_width 1 + border_color black + } + + toggle { + position 1 +5 + size 32 4 + text "OUT-OF-CORE ELEMENT STORAGE" + help job_param_elsto + toggle "*job_option elsto:on" + true_command "*job_option elsto:on" + false_command "*job_option elsto:off" + } + + toggle { + position 1 +4 + size 32 4 + text "OUT-OF-CORE INCREMENTAL BACKUP" + help job_param_inc_backup_storage + toggle "*job_option inc_backup_storage:out_of_core" + true_command "*job_option inc_backup_storage:out_of_core" + false_command "*job_option inc_backup_storage:in_core" + } + + toggle { + position +34 = + size 14 4 + text "CHECK SIZES" + help job_run_check + toggle "*job_option check:on" + true_command "*job_option check:on" + false_command "*job_option check:off" + } + + frame { + position 1 +6 + size 48 12 + text "MARC INPUT FILE" + border_width 1 + border_color black + + group { + + label { + position 0 4 + size 9 4 + text "VERSION" + border_width 1 + border_color black + } + + roller { + position +9 = + size 14 4 + nvalues 29 + nvisible 29 + texts "DEFAULT" +#if 0 + "2020" +#endif + "2019.1" + "2019" + "2018.1" + "2018" + "2017.1" + "2017" + "2016" + "2015" + "2014.2" + "2014.1" + "2014" + "2013.1" + "2013" + "2012" + "2011" + "2010.2" + "2010" + "2008" + "2007" + "2005R3" + "2005" + "2003" + "2001" + "2000" +#if 0 + "8" +#endif + "K7" + "K6.2" + "K5" + "K4" + help job_param_version + rollers "job_input_version_default" +#if 0 + "job_input_version_2020" +#endif + "job_input_version_2019.1" + "job_input_version_2019" + "job_input_version_2018.1" + "job_input_version_2018" + "job_input_version_2017.1" + "job_input_version_2017" + "job_input_version_2016" + "job_input_version_2015" + "job_input_version_2014.2" + "job_input_version_2014.1" + "job_input_version_2014" + "job_input_version_2013.1" + "job_input_version_2013" + "job_input_version_2012" + "job_input_version_2011" + "job_input_version_2010.2" + "job_input_version_2010" + "job_input_version_2008" + "job_input_version_2007" + "job_input_version_2005r3" + "job_input_version_2005" + "job_input_version_2003" + "job_input_version_2001" + "job_input_version_2000" +#if 0 + "job_input_version_8" +#endif + "job_input_version_k7" + "job_input_version_k6" + "job_input_version_k5" + "job_input_version_k4" + commands "*job_option version:default" +#if 0 + "*job_option version:2020" +#endif + "*job_option version:2019.1" + "*job_option version:2019" + "*job_option version:2018.1" + "*job_option version:2018" + "*job_option version:2017.1" + "*job_option version:2017" + "*job_option version:2016" + "*job_option version:2015" + "*job_option version:2014.2" + "*job_option version:2014.1" + "*job_option version:2014" + "*job_option version:2013.1" + "*job_option version:2013" + "*job_option version:2012" + "*job_option version:2011" + "*job_option version:2010.2" + "*job_option version:2010" + "*job_option version:2008" + "*job_option version:2007" + "*job_option version:2005r3" + "*job_option version:2005" + "*job_option version:2003" + "*job_option version:2001" + "*job_option version:2000" +#if 0 + "*job_option version:8" +#endif + "*job_option version:k7" + "*job_option version:k6" + "*job_option version:k5" + "*job_option version:k4" + visibles "job_allows_input_version_default" +#if 0 + "job_allows_input_version_2020" +#endif + "job_allows_input_version_2019.1" + "job_allows_input_version_2019" + "job_allows_input_version_2018.1" + "job_allows_input_version_2018" + "job_allows_input_version_2017.1" + "job_allows_input_version_2017" + "job_allows_input_version_2016" + "job_allows_input_version_2015" + "job_allows_input_version_2014.2" + "job_allows_input_version_2014.1" + "job_allows_input_version_2014" + "job_allows_input_version_2013.1" + "job_allows_input_version_2013" + "job_allows_input_version_2012" + "job_allows_input_version_2011" + "job_allows_input_version_2010.2" + "job_allows_input_version_2010" + "job_allows_input_version_2008" + "job_allows_input_version_2007" + "job_allows_input_version_2005r3" + "job_allows_input_version_2005" + "job_allows_input_version_2003" + "job_allows_input_version_2001" + "job_allows_input_version_2000" +#if 0 + "job_allows_input_version_8" +#endif + "job_allows_input_version_k7" + "job_allows_input_version_k6" + "job_allows_input_version_k5" + "job_allows_input_version_k4" + } + +# see also job_common.ms +# see also the RUN JOB popmenu in this file + + label { + position +14 = + size 7 4 + text "STYLE" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 3 + texts "TABLE-DRIVEN" + "MULTI-PHYSICS" + "OLD" + rollers "job_input_style_table_driven" + "job_input_style_multi_physics" + "job_input_style_old" + commands "*job_option input_style:new *job_option input_physics_style:old" + "*job_option input_physics_style:new *job_option input_style:new" + "*job_option input_style:old *job_option input_physics_style:old" + visibles "job_allows_input_style_table_driven" + "job_allows_input_style_multi_physics" + "job_allows_input_style_old" + help job_option_input_style + } + + toggle { + position 0 +4 + size 24 4 + text "EXTENDED PRECISION" + help job_run_precision + toggle "*job_option inp_file_prec:extended" + true_command "*job_option inp_file_prec:extended" + false_command "*job_option inp_file_prec:normal" + } + toggle { + position +24 = + size 24 4 + text "INCLUDE UNUSED TABLES" + toggle "*job_option input_file_tables:all" + true_command "*job_option input_file_tables:all" + false_command "*job_option input_file_tables:used" + } + } + } + + button { + position 1 +14 + size 24 4 + text "SCRATCH DIRECTORY" + settext $directory_browser_label "JOB SCRATCH DIRECTORY" + set $directory_browser_command "*job_scratch_directory" + browser directory_browser + help job_scratch_directory + } + + button { + position +24 = + size 24 4 + text "CLEAR" + command "*job_clear_scratch_directory" + visible job_scratch_directory + } + + text { + position 1 +4 + size 48 4 + display job_scratch_dir + command "*job_scratch_directory" + } + +#ifdef DCOM + toggle { + position 1 +6 + size 8 4 + text "\{DCOM}" + toggle "*job_option dcom:on" + help job_run_dcom + true_command "*job_option dcom:on" + false_command "*job_option dcom:off" + visible win32_available + } + + button { + position +8 = + size 12 4 + text "HOSTNAME" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } + + text job_dcom_hostname { + position +12 = + size 28 4 + display "job_dcom_hostname" + command "*job_dcom_hostname" + visible "and(win32_available, *job_option dcom:on)" + } +#endif + + button { + position 1 +6 + size 24 4 + text "TITLE" + popmenu job_title_pm + command "*job_title" + } + + button { + position +24 = + size 24 4 + text "SAVE MODEL" + command "*save_model" + } + + button { + position +4 +6 + size 20 4 + text "WRITE INPUT FILE" + command "*job_write_input" + } + + button { + position = +4 + size 20 4 + text "EDIT INPUT FILE" + command "*job_edit_input" + } + + popdown { + position 1 +5 + size 20 6 + text "SUBMIT 1" + command "*submit_job 1 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 1" + command "*execute_job 1 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 2" + command "*submit_job 2 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 2" + command "*execute_job 2 *monitor_job" + } + + popdown { + position -28 +6 + size 20 6 + text "SUBMIT 3" + command "*submit_job 3 *monitor_job" + } + + popdown { + position +28 = + size 20 6 + text "EXECUTE 3" + command "*execute_job 3 *monitor_job" + } + + popdown { + position 19 +8 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 +#ifdef DCOM + size 50 100 +#else + size 50 94 +#endif + background_color body + border_width 1 + border_color border + buffering single + } + + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +popmenu job_exit_msg_pm { + + text "EXIT MESSAGE" + + group { + + + + text { + position 1 5 + size 84 74 + multiline + readonly + display "job_exit_msg" + } + + popdown { + position 37 +76 + size 12 8 + text "OK" + } + } + + window { + parent mentat + origin 38 8 + size 86 90 + background_color body + border_width 1 + border_color border + buffering single + } + + mode dialog +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_run_parallelization_pm { + + text "SOLVER/PARALLELIZATION" + + group { + layout vbox + frame { + position 0 0 + size 42 8 + group { + + label { + position 0 0 + size 6 4 + text "NAME" + } + + display { + position +6 = + size 36 4 + display "job_name" + } + + label { + position 0 +4 + size 6 4 + text "TYPE" + } + + display { + position +6 = + size 36 4 + display job_class_label + } + } + } + frame { + position 0 8 + size 42 20 + group job_ddm_gr + text "DOMAIN DECOMPOSITION" + border_width 1 + border_color black + } + + frame { + position 0 +20 + size 42 13 + group job_assem_recov_gr + text "ASSEMBLY AND RECOVERY" + border_width 1 + border_color black + } + + frame { + position 0 +14 + size 42 31 + group job_parallel_matrix_solver_gr + text "MATRIX SOLVER" + border_width 1 + border_color black + } + + frame { + position 0 +32 + size 42 28 + group job_parallel_env_gr + text "PARALLELIZATION ENVIRONMENT" + border_width 1 + border_color black + visible "or(*job_option parallel:on, \ + solver_multi_procs)" + } + frame { + position 15 +30 + size 42 8 + group { + layout hbox + + spacer { + stretch 1 + } + popdown { + position 15 0 + size 12 8 + text "OK" + } + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + stretch 1 + } + } + + window { + parent mentat + origin 38 1 + size 60 119 + background_color body + border_width 1 + border_color border + buffering single + } + mode permanent +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_gr { + + toggle { + position 1 4 + size 42 4 + text "USE \{DDM}" + toggle "*job_option parallel:on" + help job_run_ddm_use + true_command "*job_option parallel:on" + false_command "*job_option parallel:off" + active "and(not(job_solver_it_ext),\ + not(job_solver_mixed_direct_iterative))" + } + + frame { + position = +5 + size 42 4 + group job_ddm_use_gr + visible "*job_option parallel:on" + } +} + +group job_ddm_use_gr { + layout vbox + frame{ + position 0 0 + size 30 4 + group { + layout hbox + label { + position 0 0 + size 12 4 + text "DECOMPOSITION IN" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MARC" + oneonly "*job_option ddm_generator:fea_solver" + command "*job_option ddm_generator:fea_solver" + help job_run_ddm_generator + } + oneonly{ + position +12 = + size 8 4 + text "MENTAT" + oneonly "*job_option ddm_generator:preprocessor" + command "*job_option ddm_generator:preprocessor" + help job_run_ddm_generator + } + } + } + + frame { + position 0 +5 + size 44 8 + group job_ddm_fea_solver_gr + visible "*job_option ddm_generator:fea_solver" + } + + frame { + position = = + size 44 8 + group job_ddm_preprocessor_gr + visible "*job_option ddm_generator:preprocessor" + } + + frame{ + position 0 +5 + size 40 4 + group{ + layout hbox + text { + position 0 0 + size 22 4 + text "Single Input File" + readonly + visible "*job_option ddm_generator:fea_solver" + } + + roller { + position = = + size 22 4 + nvalues 2 + texts "MULTIPLE INPUT FILES" + "SINGLE INPUT FILE" + roller "job_option ddm_single_input" + commands "*job_option ddm_single_input:off" + "*job_option ddm_single_input:on" + visible "*job_option ddm_generator:preprocessor" + help job_run_ddm_single_input + } + + roller { + position +23 = + size 21 4 + nvalues 2 + texts "MULTIPLE POST FILES" + "SINGLE POST FILE" + roller "job_option ddm_single_post" + commands "*job_option ddm_single_post:off" + "*job_option ddm_single_post:on" + help job_run_ddm_single_post + } + } + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_fea_solver_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + help job_param + } + + text { + position +10 = + size 4 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + label { + position 0 +4 + size 7 4 + text "METHOD" + border_width 1 + border_color black + } + + roller { + position +7 = + size 18 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "REC. COORD. BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + button { + position +18 = + size 12 4 + text "ADV. SETTINGS" + popmenu job_ddm_fea_solver_pm + } +} + + + + +#-------------------------------------------------------------------------------------------------- +popmenu job_ddm_fea_solver_pm { + text "JOB PARALLELIZATION" + mode permanent + + group { + layout vbox + spacing 0 + + frame job_properties_subm_header_fr + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + frame { + text "ADVANCED DECOMPOSITION IN MARC" + + group { + layout vbox + spacing 0 + + frame { + + group { + layout hbox + spacing 0 + + label { + size 12 4 + text "# DOMAINS" + help job_param + } + + text { + size 14 4 + display "job_param_value_ndomains" + command "*job_param ndomains" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + size 8 4 + text "METHOD" + } + + roller { + size 32 4 + nvalues 7 + texts "METIS BEST" + "METIS ELEMENT" + "METIS NODE" + "RECURSIVE COORDINATE BISECTION" + "VECTOR" + "RADIAL" + "ANGULAR" + help set_job_decomp_type + rollers "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + commands "*job_option ddm_method:metis_best" + "*job_option ddm_method:metis_element_based" + "*job_option ddm_method:metis_node_based" + "*job_option ddm_method:recur_coord_bisect" + "*job_option ddm_method:vector" + "*job_option ddm_method:radial" + "*job_option ddm_method:angular" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + visible "or(*job_option ddm_method:vector, \ + *job_option ddm_method:radial, \ + *job_option ddm_method:angular)" + + group { + layout hbox + spacing 0 + + frame { + group job_ddm_direction_gr + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + toggle { + size 24 4 + text "DOMAIN ISLAND REMOVAL" + toggle "*job_option ddm_island_removal:on" + true_command "*job_option ddm_island_removal:on" + false_command "*job_option ddm_island_removal:off" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + size 8 4 + text "GRAPH" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + } + + roller { + size 8 4 + nvalues 2 + texts "COARSE" + "FINE" + help ddm_decomp_coarse_graph + rollers "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + commands "*job_option ddm_graph:coarse" + "*job_option ddm_graph:fine" + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + size 20 4 + text "QUADRATIC ELEMENTS" + } + + roller { + size 12 4 + nvalues 2 + texts "GENUINE" + "LINEARIZED" + help job_run_ddm_decomp_linearized + rollers "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + commands "*job_option ddm_quadr_elems:genuine" + "*job_option ddm_quadr_elems:linearized" + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + + group { + layout hbox + spacing 0 + + label { + position 0 +5 + size 24 4 + text "ELEMENT WEIGHT FACTOR" + help job_param + } + + text { + position +24 = + size 14 4 + display "job_param_value_ddm_elem_weight_factor" + command "*job_param ddm_elem_weight_factor" + help job_run_ddm_decomp_element_weight_factor + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame { + visible "or(*job_option ddm_method:metis_best, \ + *job_option ddm_method:metis_element_based, \ + *job_option ddm_method:metis_node_based)" + + group { + layout hbox + spacing 0 + + frame { + + group { + + toggle { + position 0 0 + size 16 4 + text "DETECT CONTACT" + toggle "*job_option ddm_detect_contact:on" + true_command "*job_option ddm_detect_contact:on" + false_command "*job_option ddm_detect_contact:off" + help job_run_ddm_decomp_detect_contact + } + + label { + position = +5 + size 28 4 + text "CONTACT TOLERANCE" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +28 = + size 14 4 + command "*set_ddm_contact_tolerance" + display "job_param_value_ddm_contact_tolerance" + command "*job_param ddm_contact_tolerance" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_tolerance + } + + label { + position 0 +4 + size 28 4 + text "CONTACT CONSTRAINT FACTOR" + visible "*job_option ddm_detect_contact:on" + } + + text { + position +28 = + size 14 4 + display "job_param_value_ddm_contact_constr_factor" + command "*job_param ddm_contact_constr_factor" + visible "*job_option ddm_detect_contact:on" + help job_run_ddm_decomp_contact_constraint_factor + } + } + } + + spacer { + stretch 1 + } + } + } + } + } + + spacer { + stretch 1 + } + } + } + + spacer { + spacing 2 + } + + frame job_properties_subm_footer_fr + } +} # job_ddm_fea_solver_pm + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_direction_gr { + + button { + position 0 0 + size 21 4 + text "DIRECTION" + command "*job_vector ddm_sort_direction_x" + visible "model_anadim_3d" + } + + button { + position = = + size 21 4 + text "DIRECTION" + command "*job_vector_2d ddm_sort_direction_x" + visible "not(model_anadim_3d)" + } + + button { + position +21 = + size 21 4 + text "FROM / TO" + command "*job_vector_from_to ddm_sort_direction_x" + visible "model_anadim_3d" + } + + button { + position = = + size 21 4 + text "FROM / TO" + command "*job_vector_from_to_2d ddm_sort_direction_x" + visible "not(model_anadim_3d)" + } + + frame { + position 0 +4 + size 42 4 + + group { + layout hbox + spacing 0 + + text { + size 14 4 + command "*job_param ddm_sort_direction_x" + display "job_param_value_ddm_sort_direction_x" + help ddm_job_decomp_user_direction_x + } + + text { + size 14 4 + command "*job_param ddm_sort_direction_y" + display "job_param_value_ddm_sort_direction_y" + } + + text { + size 14 4 + command "*job_param ddm_sort_direction_z" + display "job_param_value_ddm_sort_direction_z" + visible "model_anadim_3d" + } + } + } + + frame { + position 0 +4 + size 42 8 + group job_ddm_sort_point_gr + visible "not(*job_option ddm_method:vector)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_sort_point_gr { + + label { + position 0 0 + size 16 4 + text "POINT ON AXIS" + } + + roller { + position +16 = + size 10 4 + nvalues 2 + texts "DEFAULT" + "USER" + roller "job_option ddm_sort_point" + commands "*job_option ddm_sort_point:default" + "*job_option ddm_sort_point:user" + } + + button { + position +20 = + size 6 4 + text "SET" + command "*job_position ddm_sort_point_x" + visible "and(*job_option ddm_sort_point:user, model_anadim_3d)" + } + + button { + position = = + size 6 4 + text "SET" + command "*job_position_2d ddm_sort_point_x" + visible "and(*job_option ddm_sort_point:user, not(model_anadim_3d))" + } + + frame { + position 0 +4 + size 42 4 + visible "*job_option ddm_sort_point:user" + + group { + layout hbox + spacing 0 + + text { + size 14 4 + command "*job_param ddm_sort_point_x" + display "job_param_value_ddm_sort_point_x" + } + + text { + size 14 4 + command "*job_param ddm_sort_point_y" + display "job_param_value_ddm_sort_point_y" + } + + text { + size 14 4 + command "*job_param ddm_sort_point_z" + display "job_param_value_ddm_sort_point_z" + visible "model_anadim_3d" + } + } + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_ddm_preprocessor_gr { + + label { + position 0 0 + size 10 4 + text "# DOMAINS" + border_width 1 + border_color black + } + + integer { + position +10 = + size 4 4 + display valid_domains + } + + button { + position 0 +4 + size 30 4 + text "USER DOMAINS" + popmenu domains_pm + help job_run_ddm_user_domains + } +} + + + + +#-------------------------------------------------------------------------------------------------- +group job_assem_recov_gr { + + toggle { + position 1 +4 + size 30 4 + text "MULTIPLE THREADS" + true_command "*job_option assem_recov_multi_threading:on" + false_command "*job_option assem_recov_multi_threading:off" + toggle "*job_option assem_recov_multi_threading:on" + } + + label { + position = +4 + size 12 4 + text "# THREADS" + visible "*job_option assem_recov_multi_threading:on" + } + + text { + position +12 = + size 4 4 + display "job_param_value_assem_recov_nthreads" + command "*job_param assem_recov_nthreads" + visible "*job_option assem_recov_multi_threading:on" + } + + label { + position +4 = + size 10 4 + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + } + + display { + position +12 = + size 4 4 + display "job_assem_recov_nthreads_dom" + visible "and(*job_option assem_recov_multi_threading:on, \ + *job_option parallel:on)" + } + spacer{ + stretch 2 + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_matrix_solver_gr { + layout vbox + frame { + position 1 0 + size 36 31 + group { + layout hbox + label { + position 3 4 + size 12 4 + text "SOLUTION" + border_width 1 + border_color black + } + oneonly { + position +12 = + size 12 4 + text "SYMMETRIC" + help "job_param_solver_method#symmetric" + oneonly "job_nonsym_off" + command "*job_option solver_nonsym:off" + } + oneonly { + position +12 = + size 12 4 + text "NONSYMMETRIC" + help "job_param_solver_method#symmetric" + oneonly "job_nonsym_on" + command "*job_option solver_nonsym:on" + } + spacer { + stretch 1 + } + } + } + + frame { + position 1 +5 + size 42 23 + group matrix_solver_gr + help job_param_solver + } + + frame { + position +1 = + size 42 4 + group job_run_solver_ddm_opts_gr + visible "*job_option parallel:on" + } + + frame { + position 1 +23 + size 42 8 + group job_solver_multi_procs_gr + visible solver_allows_multi_procs + } + + frame { + position = = + size 42 8 + group job_solver_multi_threads_gr + visible solver_allows_multi_threads + } + + frame { + position 1 +9 + size 42 8 + group job_solver_gpu_gr + visible "or(and(job_solver_mfront_sparse,job_nonsym_off), \ + and(job_solver_it_sparse,job_nonsym_off))" + } + +} + + +#-------------------------------------------------------------------------------------------------- +group job_run_solver_ddm_opts_gr { + + button { + position 0 0 + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options +# see also job_common.ms! + visible "not(or(job_solver_it_sparse, \ + job_solver_it_ext, \ + job_solver_mixed_direct_iterative, \ + job_solver_pardiso,\ + job_solver_mumps))" + } + button { + position = = + size 14 4 + text "\{DDM} OPTIONS" + popmenu ddm_options_mumps + visible "job_solver_mumps" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_gr { + frame { + position 0 0 + size 42 8 + group job_solver_multi_procs_parallel_off_gr + visible "*job_option parallel:off" + } + + frame { + position = = + size 42 8 + group job_solver_multi_procs_parallel_on_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + true_command "*job_option nsolver_procs_serial:on" + false_command "*job_option nsolver_procs_serial:off" + toggle "*job_option nsolver_procs_serial:on" + help "job_param_solver_method#mumps" + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + visible "*job_option nsolver_procs_serial:on" + help job_param + } + + text { + position +14 = + size 14 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + visible "*job_option nsolver_procs_serial:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_procs_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE SOLVER PROCESSES" + help "job_param_solver_method#mumps" + toggle true + set $dummy dummy + } + + label { + position +2 +4 + size 14 4 + text "# PROCESSES" + border_width 1 + border_color black + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + help "job_param_solver_method#mumps" + rollers "*job_option nsolver_procs_ddm:automatic" + "*job_option nsolver_procs_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_nsolver_procs_ddm_automatic_gr + visible "*job_option nsolver_procs_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_nsolver_procs_ddm_user_gr + visible "*job_option nsolver_procs_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_nsolver_procs_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help job_param + } + + text { + position +8 = + size 8 4 + display "job_param_value_nsolver_procs" + command "*job_param nsolver_procs" + } +} + +group job_solver_multi_threads_gr { + layout vbox + spacing 0 + + frame { + size 46 8 + group job_solver_multi_threads_it_sparse_parallel_off_gr + visible "and(job_solver_it_sparse,*job_option parallel:off)" + active "*job_option solver_use_gpu:off" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_off_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:off)" + active "*job_option solver_use_gpu:off" + } + + frame { + size 46 8 + group job_solver_multi_threads_mfront_sparse_parallel_on_gr + visible "and(job_solver_mfront_sparse,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_off_gr + visible "and(job_solver_pardiso,*job_option parallel:off)" + } + + frame { + size 46 8 + group job_solver_multi_threads_pardiso_parallel_on_gr + visible "and(job_solver_pardiso,*job_option parallel:on)" + } + + frame { + size 46 8 + group job_solver_multi_threads_it_ext_off_gr + visible "and(job_solver_it_ext,*job_option parallel:off)" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_sparse_multi_threading:on" + true_command "*job_option it_sparse_multi_threading:on" + false_command "*job_option it_sparse_multi_threading:off" + help "job_param_solver_method#iterative" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_sparse_multi_threading:on" + help "job_param_solver_method#iterative" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_sparse_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option mfront_sparse_multi_threading:on" + true_command "*job_option mfront_sparse_multi_threading:on" + false_command "*job_option mfront_sparse_multi_threading:off" + help "job_param_solver_method#multifrontal" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option mfront_sparse_multi_threading:on" + help "job_param_solver_method#multifrontal" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option mfront_sparse_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_mfront_sparse_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help "job_param_solver_method#multifrontal" + toggle true + set $dummy dummy + } + + label { + position +30 0 + size 12 4 + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + text "PER DOMAIN" + border_width 1 + border_color black + help "job_param_solver_method#multifrontal" + } + + display { + position +12 0 + size 4 4 + display "job_mfront_sparse_nthreads_dom" + visible "and( not(*job_option ddm_precond:direct)\ + *job_option parallel:on)" + } + + label { + position 0 +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + help "job_param_solver_method#multifrontal" + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + help "job_param_solver_method#multifrontal" + rollers "*job_option mfront_sparse_multi_threading_ddm:automatic" + "*job_option mfront_sparse_multi_threading_ddm:user" + visible "not(*job_option solver_use_gpu:on)" + } + + display { + position = = + size 14 4 + text "AUTOMATIC" + visible "*job_option solver_use_gpu:on" + } + + frame { + position +14 = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_automatic_gr + visible "*job_option mfront_sparse_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_mfront_sparse_multi_threads_ddm_user_gr + visible "*job_option mfront_sparse_multi_threading_ddm:user" + } +} +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_mfront_sparse_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help "job_param_solver_method#multifrontal" + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + + + +#-------------------------------------------------------------------------------------------------- +group job_solver_gpu_gr { + + toggle { + position 0 0 + size 30 4 + text "USE \{GPU(s)}" + toggle "*job_option solver_use_gpu:on" + true_command "*job_option solver_use_gpu:on" + false_command "*job_option solver_use_gpu:off" + help job_solver_gpu + } + frame{ + position 0 +4 + size 28 4 + group{ + layout hbox + + label { + position 0 0 + size 16 4 + text "\{GPU} SELECTION" + border_width 1 + border_color black + visible "*job_option solver_use_gpu:on" + } + + roller { + position +16 = + size 12 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + rollers "*job_option solver_gpus:automatic" + "*job_option solver_gpus:user" + visible "*job_option solver_use_gpu:on" + help job_solver_gpu + } + + text { + position +12 = + size 12 4 + display job_solver_gpus + command "*clear_job_solver_gpus *job_solver_gpus" + visible "and(*job_option solver_use_gpu:on,*job_option solver_gpus:user)" + } + spacer { + stretch 1 + } + } + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option pardiso_multi_threading:on" + true_command "*job_option pardiso_multi_threading:on" + false_command "*job_option pardiso_multi_threading:off" + help "job_param_solver_method#pardiso" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option pardiso_multi_threading:on" + help "job_param_solver_method#pardiso" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option pardiso_multi_threading:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_pardiso_parallel_on_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + help "job_param_solver_method#pardiso" + toggle true + set $dummy dummy + } + + label { + position = +4 + size 14 4 + text "# THREADS" + border_color black + border_width 1 + } + + roller { + position +14 = + size 14 4 + nvalues 2 + texts "AUTOMATIC" + "USER" + commands "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + help "job_param_solver_method#pardiso" + rollers "*job_option pardiso_multi_threading_ddm:automatic" + "*job_option pardiso_multi_threading_ddm:user" + } + + frame { + position +14 = + size 16 4 + group job_pardiso_multi_threads_ddm_automatic_gr + visible "*job_option pardiso_multi_threading_ddm:automatic" + } + + frame { + position = = + size 16 4 + group job_pardiso_multi_threads_ddm_user_gr + visible "*job_option pardiso_multi_threading_ddm:user" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_automatic_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + border_width 1 + border_color black + } + + integer { + position +8 = + size 8 4 + display valid_domains + visible "*job_option ddm_generator:preprocessor" + } + + integer { + position = = + size 8 4 + display "job_param_ndomains" + visible "*job_option ddm_generator:fea_solver" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_pardiso_multi_threads_ddm_user_gr { + + label { + position 0 0 + size 8 4 + text "VALUE" + help "job_param_solver_method#pardiso" + } + + text { + position +8 = + size 8 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_solver_multi_threads_it_ext_off_gr { + + toggle { + position 0 0 + size 30 4 + text "MULTIPLE THREADS" + toggle "*job_option it_ext_multi_threading:on" + true_command "*job_option it_ext_multi_threading:on" + false_command "*job_option it_ext_multi_threading:off" + help "job_param_solver_method#casi" + } + + label { + position = +4 + size 14 4 + text "# THREADS" + visible "*job_option it_ext_multi_threading:on" + help "job_param_solver_method#casi" + } + + text { + position +14 = + size 14 4 + display "job_param_value_nthreads" + command "*job_param nthreads" + visible "*job_option it_ext_multi_threading:on" + } +} + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_gr { + + frame{ + position 0 +4 + size 40 4 + group{ + layout hbox + label{ + position 0 0 + size 8 4 + text "SETUP" + help job_run_ddm_setup + } + oneonly { + position +12 = + size 12 4 + text "SINGLE MACHINE" + oneonly "*job_option parallel_setup:single" + command "*job_option parallel_setup:single" + help job_run_ddm_setup + } + oneonly { + position +8 = + size 12 4 + text "NETWORK" + oneonly "*job_option parallel_setup:network" + command "*job_option parallel_setup:network" + help job_run_ddm_setup + } + + spacer { + stretch 1 + } + } + } + + + frame { + position +1 +5 + size 40 16 + group job_parallel_env_network_gr + visible "*job_option parallel_setup:network" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_gr { + + button { + position 0 0 + size 28 4 + text "HOST FILE" + browser host_file_browser + settext $host_file_browser_label "SELECT HOST FILE" + set $host_file_browser_command "*job_host_file" + help job_host_file + } + + button { + position +28 = + size 8 4 + text "EDIT" + command "*job_edit_host_file" + help job_edit_host_file + visible job_host_file + } + + button { + position +8 = + size 8 4 + text "CLEAR" + command "*job_clear_host_file" + help job_clear_host_file + visible job_host_file + } + + display { + position 0 +4 + size 44 4 + display job_host_file + } + + frame { + position 0 +5 + size 44 9 + group job_parallel_env_network_ddm_gr + visible "*job_option parallel:on" + } +} + + +#-------------------------------------------------------------------------------------------------- +group job_parallel_env_network_ddm_gr { + + toggle { + position 0 0 + size 22 4 + text "COPY INPUT FILE" + toggle "*job_option copy_input_file:on" + true_command "*job_option copy_input_file:on" + false_command "*job_option copy_input_file:off" + help job_host_copy_inputfile + } + + toggle { + position +23 = + size 21 4 + text "COPY POST FILE" + toggle "*job_option copy_post_file:on" + true_command "*job_option copy_post_file:on" + false_command "*job_option copy_post_file:off" + help job_host_copy_inputfile + } + + label { + position 0 +5 + size 10 4 + text "HOSTS" + border_width 1 + border_color black + visible job_usersub_file + } + + roller { + position +10 = + size 18 4 + nvalues 2 + texts "COMPATIBLE" + "INCOMPATIBLE" + roller "job_option network_hosts" + commands "*job_option network_hosts:compatible" + "*job_option network_hosts:incompatible" + help job_host_comp + visible job_usersub_file + } +} + + +#endif + diff --git a/installation/mods_MarcMentat/apply_DAMASK_modifications.py b/installation/mods_MarcMentat/apply_DAMASK_modifications.py new file mode 100755 index 000000000..407c33558 --- /dev/null +++ b/installation/mods_MarcMentat/apply_DAMASK_modifications.py @@ -0,0 +1,67 @@ +#!/usr/bin/env python3 + +import os +import glob +import argparse +from pathlib import Path + +import damask + +msc_version = float(damask.environment.options['MSC_VERSION']) +if int(msc_version) == msc_version: + msc_version = int(msc_version) +msc_root = Path(damask.environment.options['MSC_ROOT']) +damask_root = damask.environment.root_dir + +parser = argparse.ArgumentParser( + description='Apply DAMASK modification to MSC.Marc/Mentat', + epilog = f'MSC_ROOT={msc_root} and MSC_VERSION={msc_version} (from {damask_root}/env/CONFIG)') +parser.add_argument('--editor', dest='editor', metavar='string', default='vi', + help='Name of the editor for MSC.Mentat (executable)') + + +def copy_and_replace(in_file,dst): + with open(in_file) as f: + content = f.read() + content = content.replace('%INSTALLDIR%',str(msc_root)) + content = content.replace('%VERSION%',str(msc_version)) + content = content.replace('%EDITOR%', parser.parse_args().editor) + with open(dst/Path(in_file).name,'w') as f: + f.write(content) + + +print('adapting Marc tools...\n') + +src = damask_root/f'installation/mods_MarcMentat/{msc_version}/Marc_tools' +dst = msc_root/f'marc{msc_version}/tools' +for in_file in glob.glob(str(src/'*damask*')) + [str(src/'include_linux64')]: + copy_and_replace(in_file,dst) + + +print('adapting Mentat scripts and menus...\n') + +src = damask_root/f'installation/mods_MarcMentat/{msc_version}/Mentat_bin' +dst = msc_root/f'mentat{msc_version}/bin' +for in_file in glob.glob(str(src/'*[!.original]')): + copy_and_replace(in_file,dst) + +src = damask_root/f'installation/mods_MarcMentat/{msc_version}/Mentat_menus' +dst = msc_root/f'mentat{msc_version}/menus' +for in_file in glob.glob(str(src/'job_run.ms')): + copy_and_replace(in_file,dst) + + +print('compiling Mentat menu binaries...') + +executable = str(msc_root/f'mentat{msc_version}/bin/mentat') +menu_file = str(msc_root/f'mentat{msc_version}/menus/linux64/main.msb') +os.system(f'xvfb-run {executable} -compile {menu_file}') + + +print('setting file access rights...\n') + +for pattern in [msc_root/f'marc{msc_version}/tools/*damask*', + msc_root/f'mentat{msc_version}/bin/submit?', + msc_root/f'mentat{msc_version}/bin/kill?']: + for f in glob.glob(str(pattern)): + os.chmod(f,0o755) diff --git a/installation/mods_MarcMentat/apply_DAMASK_modifications.sh b/installation/mods_MarcMentat/apply_DAMASK_modifications.sh deleted file mode 100755 index ac0daf036..000000000 --- a/installation/mods_MarcMentat/apply_DAMASK_modifications.sh +++ /dev/null @@ -1,144 +0,0 @@ -#!/usr/bin/env bash - -SCRIPTLOCATION="$( cd "$( dirname "$0" )" && pwd )" -DAMASK_ROOT=$SCRIPTLOCATION/../../ - -if [ "x$MSC_ROOT" != "x" ]; then - DEFAULT_DIR=$MSC_ROOT -fi -if [ "x$MARC_VERSION" != "x" ]; then - DEFAULT_VERSION=$MARC_VERSION -fi -if [ "x$DAMASK_BIN" != "x" ]; then - BIN_DIR=$DAMASK_ROOT/bin -fi - -while [ ! -d "$SCRIPTLOCATION/$VERSION" ] || [ -z "$VERSION" ] -do - echo "Input version of MARC/MENTAT installation: [${DEFAULT_VERSION}]" - read VERSION - if [ -z "$VERSION" ]; then - VERSION=${DEFAULT_VERSION} - fi - [[ -d "$SCRIPTLOCATION/$VERSION" ]] || echo -e "$VERSION not supported..!\n" -done -echo "MSC version: $VERSION" - -while [ ! -d "$INSTALLDIR" ] || [ -z "$INSTALLDIR" ] -do - echo "Input path of MARC/MENTAT installation: [${DEFAULT_DIR}]" - read INSTALLDIR - if [ -z "$INSTALLDIR" ]; then - INSTALLDIR=${DEFAULT_DIR} - fi - [[ -d "$INSTALLDIR" ]] || echo -e "$INSTALLDIR not found..!\n" -done - -INSTALLDIR=${INSTALLDIR%/} # remove trailing slash -echo "MSC installation path: $INSTALLDIR" - -DEFAULT_EDITOR='vi' -EDITOR='' -while [ -z "$EDITOR" ] -do - echo "Input command to invoke your preferred editor: [${DEFAULT_EDITOR}]" - read EDITOR - if [ -z "$EDITOR" ]; then - EDITOR=${DEFAULT_EDITOR} - fi -done -echo "Editor: $EDITOR" - -# tools -echo '' -echo 'adapting Marc tools...' -theDIR=$INSTALLDIR/marc$VERSION/tools -for filename in 'comp_damask_mp' \ - 'comp_damask_lmp' \ - 'comp_damask_hmp' \ - 'run_damask_mp' \ - 'run_damask_lmp' \ - 'run_damask_hmp' \ - 'include_linux64'; do - cp $SCRIPTLOCATION/$VERSION/Marc_tools/$filename $theDIR - echo $theDIR/$filename | xargs perl -pi -e "s:%INSTALLDIR%:${INSTALLDIR}:g" - echo $theDIR/$filename | xargs perl -pi -e "s:%VERSION%:${VERSION}:g" - echo $filename -done - -# Mentat scripts -echo '' -echo 'adapting Mentat scripts...' -theDIR=$INSTALLDIR/mentat$VERSION/bin -for filename in 'edit_window' \ - 'submit4' \ - 'submit5' \ - 'submit6' \ - 'kill4' \ - 'kill5' \ - 'kill6'; do - cp $SCRIPTLOCATION/$VERSION/Mentat_bin/$filename $theDIR - echo $theDIR/$filename | xargs perl -pi -e "s:%INSTALLDIR%:${INSTALLDIR}:g" - echo $theDIR/$filename | xargs perl -pi -e "s:%VERSION%:${VERSION}:g" - echo $theDIR/$filename | xargs perl -pi -e "s:%EDITOR%:${EDITOR}:g" - echo $filename -done - -# Mentat scripts -echo -e '\nadapting Mentat menus...' -theDIR=$INSTALLDIR/mentat$VERSION/menus -for filename in 'job_run.ms'; do - cp $SCRIPTLOCATION/$VERSION/Mentat_menus/$filename $theDIR - echo $theDIR/$filename | xargs perl -pi -e "s:%INSTALLDIR%:${INSTALLDIR}:g" - echo $theDIR/$filename | xargs perl -pi -e "s:%VERSION%:${VERSION}:g" - echo $filename -done - -# compile menus -echo '' -echo 'compiling Mentat menu binaries...' -$(which xvfb-run 2>/dev/null) $INSTALLDIR/mentat$VERSION/bin/mentat -compile $INSTALLDIR/mentat$VERSION/menus/linux64/main.msb -[[ $? != 0 ]] && echo '...failed. Try installing xvfb-run on your system.' - -# setting access rights -echo '' -echo 'setting file access rights...' -for filename in marc$VERSION/tools/run_damask* \ - marc$VERSION/tools/comp_damask* \ - mentat$VERSION/bin/submit{4..6} \ - mentat$VERSION/bin/kill{4..6} ; do - chmod 755 $INSTALLDIR/${filename} -done - -#creating symlinks for run_damask_scripts - -if [ -d "$BIN_DIR" ]; then - echo '' - echo "Do you want to create symlinks for run_damask scripts in ${BIN_DIR} [YES/no] ?" - read YESNO - if [ -z "$YESNO" ]; then - YESNO=yes - fi - case $YESNO in - y* | Y* ) - echo'' - echo 'creating symlinks ...' - echo'' - theDIR=$INSTALLDIR/marc$VERSION/tools - for filename in 'run_damask_mp' \ - 'run_damask_lmp' \ - 'run_damask_hmp'; do - echo ${filename:4}$VERSION - [ -f $BIN_DIR/${filename:4}$VERSION ] && rm $BIN_DIR/${filename:4}$VERSION - ln -s $theDIR/$filename $BIN_DIR/${filename:4}$VERSION - done - ;; - esac -fi - -# precompiling user subroutine -echo '' -echo 'precompiling $VERSION HYPELA2 user subroutine...' -echo 'not yet implemented..!' - -echo -e '\ndone.' diff --git a/installation/mods_MarcMentat/installation.txt b/installation/mods_MarcMentat/installation.txt index fc81408cc..cff143d9f 100644 --- a/installation/mods_MarcMentat/installation.txt +++ b/installation/mods_MarcMentat/installation.txt @@ -11,7 +11,7 @@ The Intel Fortran compiler needs to be installed. 1) Install Marc, Mentat and Documentation as usual Run the test example including subroutines to confirm that the installation of both Marc/Mentat and the Intel Fortran Compiler is ok! -2) Run the apply_DAMASK_modifications.sh script from this directory. +2) Run the apply_DAMASK_modifications.py script from this directory. APPENDIX: diff --git a/installation/symlink_Processing.py b/installation/symlink_Processing.py index 5972a7f6a..441e9a9ea 100755 --- a/installation/symlink_Processing.py +++ b/installation/symlink_Processing.py @@ -1,56 +1,30 @@ #!/usr/bin/env python3 # Makes postprocessing routines accessible from everywhere. -import os import sys +from pathlib import Path import damask -damaskEnv = damask.Environment() -baseDir = damaskEnv.relPath('processing/') -binDir = damaskEnv.relPath('bin/') +env = damask.Environment() +bin_dir = env.root_dir/Path('bin') -if not os.path.isdir(binDir): - os.mkdir(binDir) +if not bin_dir.exists(): + bin_dir.mkdir() -#define ToDo list -processing_subDirs = ['pre', - 'post', - ] sys.stdout.write('\nsymbolic linking...\n') +for sub_dir in ['pre','post']: + the_dir = env.root_dir/Path('processing')/Path(sub_dir) -for subDir in processing_subDirs: - theDir = os.path.abspath(os.path.join(baseDir,subDir)) - - sys.stdout.write('\n'+binDir+' ->\n'+theDir+damask.util.deemph(' ...')+'\n') - - for theFile in os.listdir(theDir): - theName,theExt = os.path.splitext(theFile) - if theExt in ['.py']: - - src = os.path.abspath(os.path.join(theDir,theFile)) - sym_link = os.path.abspath(os.path.join(binDir,theName)) - - if os.path.lexists(sym_link): - os.remove(sym_link) - output = theName+damask.util.deemph(theExt) - else: - output = damask.util.emph(theName)+damask.util.deemph(theExt) - - sys.stdout.write(damask.util.deemph('... ')+output+'\n') - os.symlink(src,sym_link) + for the_file in the_dir.glob('*.py'): + src = the_dir/the_file + dst = bin_dir/Path(the_file.with_suffix('').name) + if dst.is_file(): dst.unlink() # dst.unlink(True) for Python >3.8 + dst.symlink_to(src) sys.stdout.write('\npruning broken links...\n') - -brokenLinks = 0 - -for filename in os.listdir(binDir): - path = os.path.join(binDir,filename) - if os.path.islink(path) and not os.path.exists(path): - sys.stdout.write(' '+damask.util.delete(path)+'\n') - os.remove(path) - brokenLinks += 1 - -sys.stdout.write(('none.' if brokenLinks == 0 else '')+'\n') +for filename in bin_dir.glob('*'): + if not filename.is_file(): + filename.unlink diff --git a/processing/post/addAPS34IDEstrainCoords.py b/processing/legacy/addAPS34IDEstrainCoords.py similarity index 61% rename from processing/post/addAPS34IDEstrainCoords.py rename to processing/legacy/addAPS34IDEstrainCoords.py index c14983799..465f03e4e 100755 --- a/processing/post/addAPS34IDEstrainCoords.py +++ b/processing/legacy/addAPS34IDEstrainCoords.py @@ -32,26 +32,20 @@ parser.add_option('--depth', dest='depth', metavar='string', if filenames == []: filenames = [None] if options.frame is None: - parser.error('frame not specified') + parser.error('frame not specified') if options.depth is None: - parser.error('depth not specified') + parser.error('depth not specified') -theta=-0.75*np.pi -RotMat2TSL=np.array([[1., 0., 0.], - [0., np.cos(theta), np.sin(theta)], # Orientation to account for -135 deg - [0., -np.sin(theta), np.cos(theta)]]) # rotation for TSL convention +rot_to_TSL = damask.Rotation.from_axis_angle([-1,0,0,.75*np.pi]) for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) + coord = - table.get(options.frame) coord[:,2] += table.get(options.depth)[:,0] - table.add('coord', - np.einsum('ijk,ik->ij',np.broadcast_to(RotMat2TSL,(coord.shape[0],3,3)),coord), - scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) + table.add('coord',rot_to_TSL.broadcast_to(coord.shape[0]) @ coord,scriptID+' '+' '.join(sys.argv[1:]))\ + .save((sys.stdout if name is None else name),legacy=True) diff --git a/processing/post/addCumulative.py b/processing/legacy/addCumulative.py similarity index 74% rename from processing/post/addCumulative.py rename to processing/legacy/addCumulative.py index 958c6a70a..3ba527acd 100755 --- a/processing/post/addCumulative.py +++ b/processing/legacy/addCumulative.py @@ -39,10 +39,10 @@ if options.labels is None: for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) for label in options.labels: - table.add('cum_{}({})'.format('prod' if options.product else 'sum',label), - np.cumprod(table.get(label),0) if options.product else np.cumsum(table.get(label),0), - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('cum_{}({})'.format('prod' if options.product else 'sum',label), + np.cumprod(table.get(label),0) if options.product else np.cumsum(table.get(label),0), + scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + table.save((sys.stdout if name is None else name),legacy=True) diff --git a/processing/post/addEhkl.py b/processing/legacy/addEhkl.py similarity index 100% rename from processing/post/addEhkl.py rename to processing/legacy/addEhkl.py diff --git a/processing/post/imageDataDeformed.py b/processing/legacy/imageDataDeformed.py similarity index 100% rename from processing/post/imageDataDeformed.py rename to processing/legacy/imageDataDeformed.py diff --git a/processing/post/vtk2ang.py b/processing/legacy/vtk2ang.py similarity index 81% rename from processing/post/vtk2ang.py rename to processing/legacy/vtk2ang.py index eb94f7d8a..7991251fb 100755 --- a/processing/post/vtk2ang.py +++ b/processing/legacy/vtk2ang.py @@ -1,4 +1,4 @@ -#!/usr/bin/env python2.7 +#!/usr/bin/env python3 import os import sys @@ -11,54 +11,50 @@ import vtk import damask - + scriptName = os.path.splitext(os.path.basename(__file__))[0] scriptID = ' '.join([scriptName,damask.version]) # ----------------------------- def getHeader(filename,sizeFastIndex,sizeSlowIndex,stepsize): - """Returns header for ang file step size in micrometer""" - return '\n'.join([ \ - '# TEM_PIXperUM 1.000000', \ - '# x-star 1.000000', \ - '# y-star 1.000000', \ - '# z-star 1.000000', \ - '# WorkingDistance 18.000000', \ - '#', \ - '# Phase 1', \ - '# MaterialName XX', \ - '# Formula XX', \ - '# Info', \ - '# Symmetry 43', \ - '# LatticeConstants 2.870 2.870 2.870 90.000 90.000 90.000', \ - '# NumberFamilies 1', \ - '# hklFamilies 1 1 0 1 0.000000 1', \ - '# Categories 0 0 0 0 0 ', \ - '#', \ - '# GRID: SqrGrid', \ - '# XSTEP: ' + str(stepsize*1e6), \ - '# YSTEP: ' + str(stepsize*1e6), \ - '# NCOLS_ODD: ' + str(sizeFastIndex), \ - '# NCOLS_EVEN: ' + str(sizeFastIndex), \ - '# NROWS: ' + str(sizeSlowIndex), \ - '#', \ - '# OPERATOR: ' + string.replace('$Id$','\n','\\n'), \ - '#', \ - '# SAMPLEID: %s'%filename, \ - '#', \ - '# SCANID: ', \ - '#', \ + """Returns header for ang file step size in micrometer.""" + return '\n'.join([ + '# TEM_PIXperUM 1.000000', + '# x-star 1.000000', + '# y-star 1.000000', + '# z-star 1.000000', + '# WorkingDistance 18.000000', + '#', + '# Phase 1', + '# MaterialName XX', + '# Formula XX', + '# Info', + '# Symmetry 43', + '# LatticeConstants 2.870 2.870 2.870 90.000 90.000 90.000', + '# NumberFamilies 1', + '# hklFamilies 1 1 0 1 0.000000 1', + '# Categories 0 0 0 0 0 ', + '#', + '# GRID: SqrGrid', + '# XSTEP: ' + str(stepsize*1e6), + '# YSTEP: ' + str(stepsize*1e6), + '# NCOLS_ODD: ' + str(sizeFastIndex), + '# NCOLS_EVEN: ' + str(sizeFastIndex), + '# NROWS: ' + str(sizeSlowIndex), + '#', + '# OPERATOR: ' + string.replace('$Id$','\n','\\n'), + '#', + '# SAMPLEID: {}'.format(filename), + '#', + '# SCANID: ', + '#', ]) + '\n' # ----------------------------- def positiveRadians(angle): - """Returns positive angle in radians from angle in degrees""" - angle = math.radians(float(angle)) - while angle < 0.0: - angle += 2.0 * math.pi - - return angle + """Returns positive angle in radians from angle in degrees.""" + return math.radians(float(angle)) % (2.*math.pi) # ----------------------------- @@ -67,7 +63,7 @@ def getDataLine(angles,x,y,validData=True): Returns string of one line in ang file. Convention in ang file: y coordinate comes first and is fastest index - positions in micrometer + positions in micrometer. """ info = {True: (9999.9, 1.0, 0,99999,0.0), False: ( -1.0,-1.0,-1, -1,1.0)} @@ -75,18 +71,16 @@ def getDataLine(angles,x,y,validData=True): %(tuple(map(positiveRadians,angles))+(y*1e6,x*1e6)+info[validData]) - # -------------------------------------------------------------------- # MAIN FUNCTION STARTS HERE # -------------------------------------------------------------------- - parser = OptionParser(usage='%prog options [file[s]]', description = """ Builds a ang files from a vtk file. """, version = scriptID) -parser.add_option('--disp','--displacement',dest='dispLabel', +parser.add_option('--disp','--displacement',dest='dispLabel', metavar ='string', help='label of displacements [%default]') parser.add_option('--euler', dest='eulerLabel', nargs=3, @@ -110,11 +104,6 @@ parser.add_option('-s','--scale', dest='scale', type='float', parser.add_option('-r','--resolution', dest='resolution', type='float', metavar ='float', help='scaling factor for resolution [%default]') -parser.add_option('--hex','--hexagonal', dest='hexagonal', action='store_true', - help='use in plane hexagonal grid') -parser.add_option('--interpolation', dest='interpolation', type='int', - metavar='float', - help='number of points for linear interpolation [%default]') parser.add_option('--verbose', dest='verbose', action='store_true', help='verbose mode') parser.add_option('--visualize', dest='visualize', action='store_true', @@ -122,7 +111,6 @@ parser.add_option('--visualize', dest='visualize', action='store_true parser.set_defaults(dispLabel = 'displacement') parser.set_defaults(eulerLabel = ['1_1_eulerangles','1_2_eulerangles','1_3_eulerangles']) -parser.set_defaults(hexagonal = False) parser.set_defaults(normal = [0.0,0.0,-1.0]) parser.set_defaults(up = [0.0,1.0,0.0]) parser.set_defaults(Nslices = 1) @@ -130,7 +118,6 @@ parser.set_defaults(distance = 0.0) parser.set_defaults(scale = 1.0) parser.set_defaults(resolution = 1.0) parser.set_defaults(dispScaling = 1.0) -parser.set_defaults(interpolation = 1) parser.set_defaults(verbose = False) parser.set_defaults(visualize = False) (options,filenames) = parser.parse_args() @@ -153,35 +140,26 @@ if np.dot(np.array(options.normal),np.array(options.up)) > 1e-3: parser.error('normal vector and up vector have to be orthogonal') -# check for options that are not yet implemented - -if options.interpolation > 1: - parser.error('interpolation not yet supported') -if options.hexagonal: - parser.error('hexagonal grid not yet supported') - - - #--- ITERATE OVER FILES AND PROCESS THEM for filename in filenames: - + if options.verbose: sys.stdout.write("\nREADING VTK FILE\n") # Read the source file reader = vtk.vtkUnstructuredGridReader() reader.SetFileName(filename) reader.ReadAllScalarsOn() reader.ReadAllVectorsOn() - reader.Update() + reader.Update() undeformedMesh = reader.GetOutput() - + # Get euler angles from cell data - + if options.verbose: sys.stdout.write("\nGETTING EULER ANGLES\n") angles = {} - for i in range(reader.GetNumberOfScalarsInFile()): - scalarName = reader.GetScalarsNameInFile(i) + for i in range(undeformedMesh.GetPointData().GetNumberOfArrays()): + scalarName = undeformedMesh.GetPointData().GetArrayName(i) if scalarName in options.eulerLabel: angles[scalarName] = undeformedMesh.GetCellData().GetScalars(scalarName) if options.verbose: sys.stdout.write(" found scalar with name %s\n"%scalarName) @@ -189,14 +167,14 @@ for filename in filenames: for label in options.eulerLabel: if label not in angles.keys(): parser.error('Could not find scalar data with name %s'%label) - - + + # Get deformed mesh - + if options.verbose: sys.stdout.write("\nDEFORM MESH\n") warpVector = vtk.vtkWarpVector() undeformedMesh.GetPointData().SetActiveVectors(options.dispLabel) - warpVector.SetInput(undeformedMesh) + warpVector.SetInputData(undeformedMesh) warpVector.Update() deformedMesh = warpVector.GetOutput() box = deformedMesh.GetBounds() # bounding box in mesh system @@ -208,24 +186,24 @@ for filename in filenames: # Get cell centers of deformed mesh (position of ips) - + if options.verbose: sys.stdout.write("\nGETTING CELL CENTERS OF DEFORMED MESH\n") cellCenter = vtk.vtkCellCenters() cellCenter.SetVertexCells(0) # do not generate vertex cells, just points - cellCenter.SetInput(deformedMesh) + cellCenter.SetInputData(deformedMesh) cellCenter.Update() meshIPs = cellCenter.GetOutput() # Get outer surface of deformed mesh - + if options.verbose: sys.stdout.write("\nGETTING OUTER SURFACE OF DEFORMED MESH\n") surfaceFilter = vtk.vtkDataSetSurfaceFilter() - surfaceFilter.SetInput(deformedMesh) + surfaceFilter.SetInputData(deformedMesh) surfaceFilter.Update() surface = surfaceFilter.GetOutput() - - + + # Get coordinate system for ang files # z-vector is normal to slices # x-vector corresponds to the up-direction @@ -248,11 +226,11 @@ for filename in filenames: # Get bounding box in rotated system (x,y,z) if options.verbose: sys.stdout.write("\nGETTING BOUNDING BOX IN ROTATED SYSTEM\n") - rotatedbox = [[np.inf,-np.inf] for i in range(3)] # bounding box in rotated TSL system - for n in range(8): # loop over eight vertices of mesh bounding box - vert = np.array([box[0+(n/1)%2], - box[2+(n/2)%2], - box[4+(n/4)%2]]) # vertex in mesh system + rotatedbox = [[np.inf,-np.inf] for i in range(3)] # bounding box in rotated TSL system + for n in range(8): # loop over eight vertices of mesh bounding box + vert = np.array([box[0+(n//1)%2], + box[2+(n//2)%2], + box[4+(n//4)%2]]) # vertex in mesh system rotatedvert = np.dot(R,vert) # vertex in rotated system for i in range(3): rotatedbox[i][0] = min(rotatedbox[i][0],rotatedvert[i]) @@ -274,7 +252,7 @@ for filename in filenames: for i in range(2): Npoints.extend([int(math.ceil(extent[i] / options.resolution))]) correction.extend([float(Npoints[i]) * options.resolution - extent[i]]) - if options.distance > 0.0: + if options.distance > 0.0: Npoints.extend([int(math.ceil(extent[2] / options.distance))]) correction.extend([float(Npoints[2]) * options.distance - extent[2]]) else: @@ -282,8 +260,8 @@ for filename in filenames: correction.extend([0.0]) options.distance = extent[2] / float(options.Nslices) for i in range(3): - rotatedbox[i][0] = rotatedbox[i][0] - 0.5 * correction[i] - rotatedbox[i][1] = rotatedbox[i][1] + 0.5 * correction[i] + rotatedbox[i][0] -= 0.5 * correction[i] + rotatedbox[i][1] += 0.5 * correction[i] extent[i] = rotatedbox[i][1] - rotatedbox[i][0] NpointsPerSlice = Npoints[0] * Npoints[1] totalNpoints = NpointsPerSlice * Npoints[2] @@ -301,20 +279,20 @@ for filename in filenames: if options.verbose: sys.stdout.write("\nGENERATING POINTS FOR POINT GRID") points = vtk.vtkPoints() for k in range(Npoints[2]): - for j in range(Npoints[0]): + for j in range(Npoints[0]): for i in range(Npoints[1]): # y is fastest index rotatedpoint = np.array([rotatedbox[0][0] + (float(j) + 0.5) * options.resolution, - rotatedbox[1][0] + (float(i) + 0.5) * options.resolution, - rotatedbox[2][0] + (float(k) + 0.5) * options.distance ]) # point in rotated system + rotatedbox[1][0] + (float(i) + 0.5) * options.resolution, + rotatedbox[2][0] + (float(k) + 0.5) * options.distance ]) # point in rotated system point = np.dot(R.T,rotatedpoint) # point in mesh system points.InsertNextPoint(list(point)) - if options.verbose: + if options.verbose: sys.stdout.write("\rGENERATING POINTS FOR POINT GRID %d%%" %(100*(Npoints[1]*(k*Npoints[0]+j)+i+1)/totalNpoints)) sys.stdout.flush() - if options.verbose: + if options.verbose: sys.stdout.write("\n number of slices: %i\n"%Npoints[2]) sys.stdout.write(" slice spacing: %.8f\n"%options.distance) - if Npoints[2] > 1: + if Npoints[2] > 1: sys.stdout.write(" number of points per slice: %i = %i rows * %i points in row\n"%(NpointsPerSlice,Npoints[0],Npoints[1])) sys.stdout.write(" grid resolution: %.8f\n"%options.resolution) @@ -324,7 +302,7 @@ for filename in filenames: vertex = vtk.vtkVertex() vertex.GetPointIds().SetId(0,i) # each vertex consists of exactly one (index 0) point with ID "i" vertices.InsertNextCell(vertex) - if options.verbose: + if options.verbose: sys.stdout.write("\rGENERATING VERTICES FOR POINT GRID %d%%" %(100*(i+1)/totalNpoints)) sys.stdout.flush() @@ -357,34 +335,34 @@ for filename in filenames: if enclosedPoints.IsInside(i): NenclosedPoints += 1 # here one could use faster(?) "FindClosestPoint" if only first nearest neighbor required - kdTree.FindClosestNPoints(options.interpolation,pointgrid.GetPoint(i),ids) - for j in range(ids.GetNumberOfIds()): + kdTree.FindClosestNPoints(1,pointgrid.GetPoint(i),ids) + for j in range(ids.GetNumberOfIds()): gridToMesh[-1].extend([ids.GetId(j)]) - if options.verbose: + if options.verbose: sys.stdout.write("\rBUILDING MAPPING OF GRID POINTS %d%%" %(100*(i+1)/totalNpoints)) sys.stdout.flush() if options.verbose: sys.stdout.write("\n Number of points inside mesh geometry %i\n"%NenclosedPoints) sys.stdout.write(" Number of points outside mesh geometry %i\n"%(totalNpoints - NenclosedPoints)) - + # ITERATE OVER SLICES AND CREATE ANG FILE - - if options.verbose: + + if options.verbose: sys.stdout.write("\nWRITING OUT ANG FILES\n") sys.stdout.write(" scaling all length with %f\n"%options.scale) x0,y0,z0 = np.dot(R,pointgrid.GetPoint(0)) # first point on slice defines origin for sliceN in range(Npoints[2]): - + # Open file and write header - + angfilename = eval('"'+eval("'%%s_slice%%0%ii.ang'%(math.log10(Npoints[2])+1)")+'"%(os.path.splitext(filename)[0],sliceN+1)') with open(angfilename,'w') as angfile: if options.verbose: sys.stdout.write(" %s\n"%angfilename) angfile.write(getHeader(filename,Npoints[1],Npoints[0],options.resolution*options.scale)) for i in range(sliceN*NpointsPerSlice,(sliceN+1)*NpointsPerSlice): # Iterate over points on slice - + # Get euler angles of closest IDs @@ -397,26 +375,26 @@ for filename in filenames: phi[-1].extend([angles[options.eulerLabel[k]].GetValue(IP)]) else: phi = [[720,720,720]] # fake angles - - + + # Interpolate Euler angle # NOT YET IMPLEMENTED, simply take the nearest neighbors values interpolatedPhi = phi[0] - - + + # write data to ang file x,y,z = np.dot(R,pointgrid.GetPoint(i)) # point in rotated TSL system - x -= x0 # first point on slice defines origin - y -= y0 # first point on slice defines origin + x -= x0 # first point on slice defines origin + y -= y0 # first point on slice defines origin x *= options.scale y *= options.scale angfile.write(getDataLine(interpolatedPhi,x,y,enclosedPoints.IsInside(i))) - + # Visualize slices - + if options.visualize: meshMapper = vtk.vtkDataSetMapper() meshMapper.SetInput(surface) @@ -426,11 +404,11 @@ for filename in filenames: meshActor.GetProperty().SetOpacity(0.2) meshActor.GetProperty().SetColor(1.0,1.0,0) meshActor.GetProperty().BackfaceCullingOn() - + boxpoints = vtk.vtkPoints() for n in range(8): P = [rotatedbox[0][(n/1)%2], - rotatedbox[1][(n/2)%2], + rotatedbox[1][(n/2)%2], rotatedbox[2][(n/4)%2]] boxpoints.InsertNextPoint(list(np.dot(R.T,np.array(P)))) box = vtk.vtkHexahedron() @@ -469,7 +447,7 @@ for filename in filenames: renderer.AddActor(boxActor) renderer.AddActor(gridActor) renderer.SetBackground(1,1,1) - + renderWindow.Render() renderWindowInteractor.SetInteractorStyle(vtk.vtkInteractorStyleTrackballCamera()) renderWindowInteractor.Start() diff --git a/processing/post/DADF5_postResults.py b/processing/post/DADF5_postResults.py index 2230ba563..02eb72d87 100755 --- a/processing/post/DADF5_postResults.py +++ b/processing/post/DADF5_postResults.py @@ -38,26 +38,26 @@ for filename in options.filenames: N_digits = int(np.floor(np.log10(int(results.increments[-1][3:]))))+1 N_digits = 5 # hack to keep test intact for inc in damask.util.show_progress(results.iterate('increments'),len(results.increments)): - table = damask.Table(np.ones(np.product(results.grid),dtype=int)*int(inc[3:]),{'inc':(1,)}) - table.add('pos',coords.reshape(-1,3)) + table = damask.Table(np.ones(np.product(results.grid),dtype=int)*int(inc[3:]),{'inc':(1,)})\ + .add('pos',coords.reshape(-1,3)) results.pick('materialpoints',False) results.pick('constituents', True) for label in options.con: x = results.get_dataset_location(label) if len(x) != 0: - table.add(label,results.read_dataset(x,0,plain=True).reshape(results.grid.prod(),-1)) + table = table.add(label,results.read_dataset(x,0,plain=True).reshape(results.grid.prod(),-1)) results.pick('constituents', False) results.pick('materialpoints',True) for label in options.mat: x = results.get_dataset_location(label) if len(x) != 0: - table.add(label,results.read_dataset(x,0,plain=True).reshape(results.grid.prod(),-1)) + table = table.add(label,results.read_dataset(x,0,plain=True).reshape(results.grid.prod(),-1)) dirname = os.path.abspath(os.path.join(os.path.dirname(filename),options.dir)) if not os.path.isdir(dirname): os.mkdir(dirname,0o755) file_out = '{}_inc{}.txt'.format(os.path.splitext(os.path.split(filename)[-1])[0], inc[3:].zfill(N_digits)) - table.to_ASCII(os.path.join(dirname,file_out)) + table.save(os.path.join(dirname,file_out),legacy=True) diff --git a/processing/post/addCalculation.py b/processing/post/addCalculation.py deleted file mode 100755 index 79fdd9455..000000000 --- a/processing/post/addCalculation.py +++ /dev/null @@ -1,183 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser -import re -from collections.abc import Iterable -import math # noqa - -import scipy # noqa -import scipy.linalg # noqa -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -def listify(x): - return x if isinstance(x, Iterable) else [x] - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add or alter column(s) with derived values according to user-defined arithmetic operation between column(s). -Column labels are tagged by '#label#' in formulas. Use ';' for ',' in functions. -Numpy is available as 'np'. - -Special variables: #_row_# -- row index -Examples: -(1) magnitude of vector -- "np.linalg.norm(#vec#)" -(2) rounded root of row number -- "round(math.sqrt(#_row_#);3)" - -""", version = scriptID) - -parser.add_option('-l','--label', - dest = 'labels', - action = 'extend', metavar = '', - help = '(list of) new column labels') -parser.add_option('-f','--formula', - dest = 'formulas', - action = 'extend', metavar = '', - help = '(list of) formulas corresponding to labels') - -parser.add_option('-c','--condition', - dest = 'condition', metavar='string', - help = 'condition to alter existing column data (optional)') - -(options,filenames) = parser.parse_args() - -if options.labels is None or options.formulas is None: - parser.error('no formulas and/or labels specified.') -if len(options.labels) != len(options.formulas): - parser.error('number of labels ({}) and formulas ({}) do not match.'.format(len(options.labels),len(options.formulas))) - -for i in range(len(options.formulas)): - options.formulas[i] = options.formulas[i].replace(';',',') - -# ------------------------------------- loop over input files -------------------------------------- - -if filenames == []: filenames = [None] - -for name in filenames: - try: - table = damask.ASCIItable(name = name) - except IOError: - continue - damask.util.report(scriptName,name) - -# ------------------------------------------ read header ------------------------------------------- - - table.head_read() - -# -------------------------------------------------------------------------------------------------- - specials = { \ - '_row_': 0, - } - -# --------------------------------------- evaluate condition --------------------------------------- - if options.condition is not None: - condition = options.condition # copy per file, since might be altered inline - breaker = False - - for position,(all,marker,column) in enumerate(set(re.findall(r'#(([s]#)?(.+?))#',condition))): # find three groups - idx = table.label_index(column) - dim = table.label_dimension(column) - if idx < 0 and column not in specials: - damask.util.croak('column "{}" not found.'.format(column)) - breaker = True - else: - if column in specials: - replacement = 'specials["{}"]'.format(column) - elif dim == 1: # scalar input - replacement = '{}(table.data[{}])'.format({ '':'float', - 's#':'str'}[marker],idx) # take float or string value of data column - elif dim > 1: # multidimensional input (vector, tensor, etc.) - replacement = 'np.array(table.data[{}:{}],dtype=float)'.format(idx,idx+dim) # use (flat) array representation - - condition = condition.replace('#'+all+'#',replacement) - - if breaker: continue # found mistake in condition evaluation --> next file - -# ------------------------------------------ build formulas ---------------------------------------- - - evaluator = {} - - for label,formula in zip(options.labels,options.formulas): - for column in re.findall(r'#(.+?)#',formula): # loop over column labels in formula - idx = table.label_index(column) - dim = table.label_dimension(column) - if column in specials: - replacement = 'specials["{}"]'.format(column) - elif dim == 1: # scalar input - replacement = 'float(table.data[{}])'.format(idx) # take float value of data column - elif dim > 1: # multidimensional input (vector, tensor, etc.) - replacement = 'np.array(table.data[{}:{}],dtype=float)'.format(idx,idx+dim) # use (flat) array representation - else: - damask.util.croak('column {} not found, skipping {}...'.format(column,label)) - options.labels.remove(label) - break - - formula = formula.replace('#'+column+'#',replacement) - - evaluator[label] = formula - -# ---------------------------- separate requested labels into old and new -------------------------- - - veterans = list(set(options.labels)&set(table.labels(raw=False)+table.labels(raw=True)) ) # intersection of requested and existing - newbies = list(set(options.labels)-set(table.labels(raw=False)+table.labels(raw=True)) ) # requested but not existing - -# ------------------------------------------ process data ------------------------------------------ - - firstLine = True - outputAlive = True - - while outputAlive and table.data_read(): # read next data line of ASCII table - specials['_row_'] += 1 # count row - - if firstLine: - firstLine = False - -# ---------------------------- line 1: determine dimension of formulas ----------------------------- - - resultDim = {} - for label in list(options.labels): # iterate over stable copy - resultDim[label] = np.size(eval(evaluator[label])) # get dimension of formula[label] - if resultDim[label] == 0: options.labels.remove(label) # remove label if invalid result - - for veteran in list(veterans): - if resultDim[veteran] != table.label_dimension(veteran): - damask.util.croak('skipping {} due to inconsistent dimension...'.format(veteran)) - veterans.remove(veteran) # discard culprit - -# ----------------------------------- line 1: assemble header -------------------------------------- - - for newby in newbies: - table.labels_append(['{}_{}'.format(i+1,newby) for i in range(resultDim[newby])] - if resultDim[newby] > 1 else newby) - - table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:])) - table.head_write() - -# -------------------------------------- evaluate formulas ----------------------------------------- - - if options.condition is None or eval(condition): # condition for veteran replacement fulfilled - for veteran in veterans: # evaluate formulas that overwrite - table.data[table.label_index(veteran): - table.label_index(veteran)+table.label_dimension(veteran)] = \ - listify(eval(evaluator[veteran])) - - for newby in newbies: # evaluate formulas that append - table.data_append(listify(eval(evaluator[newby]))) - - outputAlive = table.data_write() # output processed line - -# ------------------------------------- output finalization ---------------------------------------- - - table.close() # close ASCII table - diff --git a/processing/post/addCompatibilityMismatch.py b/processing/post/addCompatibilityMismatch.py index 59eafc077..0e7d3ea42 100755 --- a/processing/post/addCompatibilityMismatch.py +++ b/processing/post/addCompatibilityMismatch.py @@ -172,7 +172,7 @@ if filenames == []: filenames = [None] for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) F = table.get(options.defgrad).reshape(tuple(grid)+(-1,),order='F').reshape(tuple(grid)+(3,3)) @@ -181,14 +181,14 @@ for name in filenames: if options.shape: centers = damask.grid_filters.cell_coord(size,F) shapeMismatch = shapeMismatch(size,F,nodes,centers) - table.add('shapeMismatch(({}))'.format(options.defgrad), - shapeMismatch.reshape(-1,1,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('shapeMismatch(({}))'.format(options.defgrad), + shapeMismatch.reshape(-1,1,order='F'), + scriptID+' '+' '.join(sys.argv[1:])) if options.volume: volumeMismatch = volumeMismatch(size,F,nodes) - table.add('volMismatch(({}))'.format(options.defgrad), - volumeMismatch.reshape(-1,1,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('volMismatch(({}))'.format(options.defgrad), + volumeMismatch.reshape(-1,1,order='F'), + scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addCurl.py b/processing/post/addCurl.py index 17459a2df..699fc945f 100755 --- a/processing/post/addCurl.py +++ b/processing/post/addCurl.py @@ -43,7 +43,7 @@ if options.labels is None: parser.error('no data column specified.') for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) for label in options.labels: @@ -51,8 +51,8 @@ for name in filenames: shape = (3,) if np.prod(field.shape)//np.prod(grid) == 3 else (3,3) # vector or tensor field = field.reshape(tuple(grid)+(-1,),order='F').reshape(tuple(grid)+shape) curl = damask.grid_filters.curl(size,field) - table.add('curlFFT({})'.format(label), - curl.reshape(tuple(grid)+(-1,)).reshape(-1,np.prod(shape),order='F'), - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('curlFFT({})'.format(label), + curl.reshape(tuple(grid)+(-1,)).reshape(-1,np.prod(shape),order='F'), + scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addDerivative.py b/processing/post/addDerivative.py index 4e9410794..99016f4ef 100755 --- a/processing/post/addDerivative.py +++ b/processing/post/addDerivative.py @@ -14,9 +14,9 @@ scriptName = os.path.splitext(os.path.basename(__file__))[0] scriptID = ' '.join([scriptName,damask.version]) def derivative(coordinates,what): - + result = np.empty_like(what) - + # use differentiation by interpolation # as described in http://www2.math.umd.edu/~dlevy/classes/amsc466/lecture-notes/differentiation-chap.pdf @@ -31,7 +31,7 @@ def derivative(coordinates,what): (coordinates[0] - coordinates[1]) result[-1,:] = (what[-1,:] - what[-2,:]) / \ (coordinates[-1] - coordinates[-2]) - + return result @@ -65,10 +65,10 @@ if options.labels is None: for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) for label in options.labels: - table.add('d({})/d({})'.format(label,options.coordinates), - derivative(table.get(options.coordinates),table.get(label)), - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('d({})/d({})'.format(label,options.coordinates), + derivative(table.get(options.coordinates),table.get(label)), + scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addDisplacement.py b/processing/post/addDisplacement.py index 6f4a60192..a6cff86ab 100755 --- a/processing/post/addDisplacement.py +++ b/processing/post/addDisplacement.py @@ -47,25 +47,25 @@ parser.set_defaults(f = 'f', for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) F = table.get(options.f).reshape(tuple(grid)+(-1,),order='F').reshape(tuple(grid)+(3,3)) if options.nodal: - table = damask.Table(damask.grid_filters.node_coord0(grid,size).reshape(-1,3,order='F'), - {'pos':(3,)}) - table.add('avg({}).{}'.format(options.f,options.pos), - damask.grid_filters.node_displacement_avg(size,F).reshape(-1,3,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) - table.add('fluct({}).{}'.format(options.f,options.pos), - damask.grid_filters.node_displacement_fluct(size,F).reshape(-1,3,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else os.path.splitext(name)[0]+'_nodal.txt') + damask.Table(damask.grid_filters.node_coord0(grid,size).reshape(-1,3,order='F'), + {'pos':(3,)})\ + .add('avg({}).{}'.format(options.f,options.pos), + damask.grid_filters.node_displacement_avg(size,F).reshape(-1,3,order='F'), + scriptID+' '+' '.join(sys.argv[1:]))\ + .add('fluct({}).{}'.format(options.f,options.pos), + damask.grid_filters.node_displacement_fluct(size,F).reshape(-1,3,order='F'), + scriptID+' '+' '.join(sys.argv[1:]))\ + .save((sys.stdout if name is None else os.path.splitext(name)[0]+'_nodal.txt'), legacy=True) else: table.add('avg({}).{}'.format(options.f,options.pos), damask.grid_filters.cell_displacement_avg(size,F).reshape(-1,3,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) - table.add('fluct({}).{}'.format(options.f,options.pos), + scriptID+' '+' '.join(sys.argv[1:]))\ + .add('fluct({}).{}'.format(options.f,options.pos), damask.grid_filters.cell_displacement_fluct(size,F).reshape(-1,3,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + scriptID+' '+' '.join(sys.argv[1:]))\ + .save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addDivergence.py b/processing/post/addDivergence.py index 50048b44e..208a0f7b6 100755 --- a/processing/post/addDivergence.py +++ b/processing/post/addDivergence.py @@ -43,7 +43,7 @@ if options.labels is None: parser.error('no data column specified.') for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) for label in options.labels: @@ -51,8 +51,8 @@ for name in filenames: shape = (3,) if np.prod(field.shape)//np.prod(grid) == 3 else (3,3) # vector or tensor field = field.reshape(tuple(grid)+(-1,),order='F').reshape(tuple(grid)+shape) div = damask.grid_filters.divergence(size,field) - table.add('divFFT({})'.format(label), - div.reshape(tuple(grid)+(-1,)).reshape(-1,np.prod(shape)//3,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('divFFT({})'.format(label), + div.reshape(tuple(grid)+(-1,)).reshape(-1,np.prod(shape)//3,order='F'), + scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addEuclideanDistance.py b/processing/post/addEuclideanDistance.py index be820220a..fc43542bd 100755 --- a/processing/post/addEuclideanDistance.py +++ b/processing/post/addEuclideanDistance.py @@ -142,7 +142,7 @@ for i,feature in enumerate(features): for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) neighborhood = neighborhoods[options.neighborhood] @@ -158,7 +158,7 @@ for name in filenames: diffToNeighbor[:,:,:,i] = ndimage.convolve(microstructure,stencil) # compare ID at each point... # ...to every one in the specified neighborhood # for same IDs at both locations ==> 0 - + diffToNeighbor = np.sort(diffToNeighbor) # sort diff such that number of changes in diff (steps)... # ...reflects number of unique neighbors uniques = np.where(diffToNeighbor[1:-1,1:-1,1:-1,0] != 0, 1,0) # initialize unique value counter (exclude myself [= 0]) @@ -180,8 +180,8 @@ for name in filenames: for i,feature in enumerate(feature_list): - table.add('ED_{}({})'.format(features[feature]['names'][0],options.id), - distance[i,:], - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('ED_{}({})'.format(features[feature]['names'][0],options.id), + distance[i,:], + scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addGaussian.py b/processing/post/addGaussian.py deleted file mode 100755 index 86552deca..000000000 --- a/processing/post/addGaussian.py +++ /dev/null @@ -1,76 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -from scipy import ndimage - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog option [ASCIItable(s)]', description = """ -Add column(s) containing Gaussian filtered values of requested column(s). -Operates on periodic and non-periodic ordered three-dimensional data sets. -For details see scipy.ndimage documentation. - -""", version = scriptID) - -parser.add_option('-p','--pos','--periodiccellcenter', - dest = 'pos', - type = 'string', metavar = 'string', - help = 'label of coordinates [%default]') -parser.add_option('-s','--scalar', - dest = 'labels', - action = 'extend', metavar = '', - help = 'label(s) of scalar field values') -parser.add_option('-o','--order', - dest = 'order', - type = int, - metavar = 'int', - help = 'order of the filter [%default]') -parser.add_option('--sigma', - dest = 'sigma', - type = float, - metavar = 'float', - help = 'standard deviation [%default]') -parser.add_option('--periodic', - dest = 'periodic', - action = 'store_true', - help = 'assume periodic grain structure') - - - -parser.set_defaults(pos = 'pos', - order = 0, - sigma = 1, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if options.labels is None: parser.error('no data column specified.') - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - damask.grid_filters.coord0_check(table.get(options.pos)) - - for label in options.labels: - table.add('Gauss{}({})'.format(options.sigma,label), - ndimage.filters.gaussian_filter(table.get(label).reshape(-1), - options.sigma,options.order, - mode = 'wrap' if options.periodic else 'nearest'), - scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/addGradient.py b/processing/post/addGradient.py index f63f24789..d049b65d7 100755 --- a/processing/post/addGradient.py +++ b/processing/post/addGradient.py @@ -43,7 +43,7 @@ if options.labels is None: parser.error('no data column specified.') for name in filenames: damask.util.report(scriptName,name) - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) for label in options.labels: @@ -51,8 +51,8 @@ for name in filenames: shape = (1,) if np.prod(field.shape)//np.prod(grid) == 1 else (3,) # scalar or vector field = field.reshape(tuple(grid)+(-1,),order='F') grad = damask.grid_filters.gradient(size,field) - table.add('gradFFT({})'.format(label), - grad.reshape(tuple(grid)+(-1,)).reshape(-1,np.prod(shape)*3,order='F'), - scriptID+' '+' '.join(sys.argv[1:])) + table = table.add('gradFFT({})'.format(label), + grad.reshape(tuple(grid)+(-1,)).reshape(-1,np.prod(shape)*3,order='F'), + scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addIPFcolor.py b/processing/post/addIPFcolor.py deleted file mode 100755 index 014b0147d..000000000 --- a/processing/post/addIPFcolor.py +++ /dev/null @@ -1,68 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add RGB color value corresponding to TSL-OIM scheme for inverse pole figures. - -""", version = scriptID) - -parser.add_option('-p', - '--pole', - dest = 'pole', - type = 'float', nargs = 3, metavar = 'float float float', - help = 'lab frame direction for inverse pole figure [%default]') -parser.add_option('-s', - '--symmetry', - dest = 'symmetry', - type = 'choice', choices = damask.Symmetry.lattices[1:], metavar='string', - help = 'crystal symmetry [%default] {{{}}} '.format(', '.join(damask.Symmetry.lattices[1:]))) -parser.add_option('-o', - '--orientation', - dest = 'quaternion', - metavar = 'string', - help = 'label of crystal orientation given as unit quaternion [%default]') - -parser.set_defaults(pole = (0.0,0.0,1.0), - quaternion = 'orientation', - symmetry = damask.Symmetry.lattices[-1], - ) - -(options, filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -# damask.Orientation requires Bravais lattice, but we are only interested in symmetry -symmetry2lattice={'cubic':'fcc','hexagonal':'hex','tetragonal':'bct'} -lattice = symmetry2lattice[options.symmetry] - -pole = np.array(options.pole) -pole /= np.linalg.norm(pole) - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - orientation = table.get(options.quaternion) - color = np.empty((orientation.shape[0],3)) - for i,o in enumerate(orientation): - color[i] = damask.Orientation(o,lattice = lattice).IPFcolor(pole) - - table.add('IPF_{:g}{:g}{:g}_{sym}'.format(*options.pole,sym = options.symmetry.lower()), - color, - scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/addIndexed.py b/processing/post/addIndexed.py deleted file mode 100755 index 98fed597b..000000000 --- a/processing/post/addIndexed.py +++ /dev/null @@ -1,64 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add data in column(s) of mapped ASCIItable selected from the row indexed by the value in a mapping column. -Row numbers start at 1. - -""", version = scriptID) - -parser.add_option('--index', - dest = 'index', - type = 'string', metavar = 'string', - help = 'column label containing row index') -parser.add_option('-o','--offset', - dest = 'offset', - type = 'int', metavar = 'int', - help = 'constant offset for index column value [%default]') -parser.add_option('-l','--label', - dest = 'label', - action = 'extend', metavar = '', - help = 'column label(s) to be appended') -parser.add_option('-a','--asciitable', - dest = 'asciitable', - type = 'string', metavar = 'string', - help = 'indexed ASCIItable') - -parser.set_defaults(offset = 0, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if options.label is None: - parser.error('no data columns specified.') -if options.index is None: - parser.error('no index column given.') - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - indexedTable = damask.Table.from_ASCII(options.asciitable) - idx = np.reshape(table.get(options.index).astype(int) + options.offset,(-1))-1 - - for data in options.label: - table.add(data+'_addIndexed',indexedTable.get(data)[idx],scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/addLinked.py b/processing/post/addLinked.py deleted file mode 100755 index 9b09cb7c7..000000000 --- a/processing/post/addLinked.py +++ /dev/null @@ -1,118 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add data of selected column(s) from (first) row of linked ASCIItable that shares the linking column value. - -""", version = scriptID) - -parser.add_option('--link', - dest = 'link', nargs = 2, - type = 'string', metavar = 'string string', - help = 'column labels of table and linked table containing linking values') -parser.add_option('-l','--label', - dest = 'label', - action = 'extend', metavar = '', - help = 'column label(s) to add from linked ASCIItable') -parser.add_option('-a','--asciitable', - dest = 'asciitable', - type = 'string', metavar = 'string', - help = 'linked ASCIItable') - -parser.set_defaults() - -(options,filenames) = parser.parse_args() - -if options.label is None: - parser.error('no data columns specified.') -if options.link is None: - parser.error('no linking columns given.') - -# -------------------------------------- process linked ASCIItable -------------------------------- - -if options.asciitable is not None and os.path.isfile(options.asciitable): - - linkedTable = damask.ASCIItable(name = options.asciitable, readonly = True) - linkedTable.head_read() # read ASCII header info of linked table - linkDim = linkedTable.label_dimension(options.link[1]) # dimension of linking column - - missing_labels = linkedTable.data_readArray([options.link[1]]+options.label) # try reading linked ASCII table - linkedTable.close() # close linked ASCII table - - if len(missing_labels) > 0: - damask.util.croak('column{} {} not found...'.format('s' if len(missing_labels) > 1 else '',', '.join(missing_labels))) - if len(missing_labels) >= len(options.label): - damask.util.croak('aborting...') - sys.exit() - - index = linkedTable.data[:,:linkDim] - data = linkedTable.data[:,linkDim:] -else: - parser.error('no linked ASCIItable given.') - -# --- loop over input files ----------------------------------------------------------------------- - -if filenames == []: filenames = [None] - -for name in filenames: - try: - table = damask.ASCIItable(name = name) - except IOError: - continue - damask.util.report(scriptName,"{} {} <== {} {}".format(name,damask.util.deemph('@ '+options.link[0]), - options.asciitable,damask.util.deemph('@ '+options.link[1]))) - -# ------------------------------------------ read header ------------------------------------------ - - table.head_read() - -# ------------------------------------------ sanity checks ---------------------------------------- - - errors = [] - - myLink = table.label_index (options.link[0]) - myLinkDim = table.label_dimension(options.link[0]) - if myLink < 0: errors.append('linking column {} not found.'.format(options.link[0])) - if myLinkDim != linkDim: errors.append('dimension mismatch for column {}.'.format(options.link[0])) - - if errors != []: - damask.util.croak(errors) - table.close(dismiss = True) - continue - -# ------------------------------------------ assemble header -------------------------------------- - - table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:])) - table.labels_append(linkedTable.labels(raw = True)[linkDim:]) # extend with new labels (except for linked column) - - table.head_write() - -# ------------------------------------------ process data ------------------------------------------ - - outputAlive = True - while outputAlive and table.data_read(): # read next data line of ASCII table - try: - table.data_append(data[np.argwhere(np.all((list(map(float,table.data[myLink:myLink+myLinkDim])) - index)==0, - axis=1))[0]]) # add data of first matching line - except IndexError: - table.data_append(np.nan*np.ones_like(data[0])) # or add NaNs - outputAlive = table.data_write() # output processed line - -# ------------------------------------------ output finalization ----------------------------------- - - table.close() # close ASCII tables diff --git a/processing/post/addNorm.py b/processing/post/addNorm.py deleted file mode 100755 index 4ac2bf899..000000000 --- a/processing/post/addNorm.py +++ /dev/null @@ -1,75 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -# definition of element-wise p-norms for matrices -# ToDo: better use numpy.linalg.norm - -def norm(which,object): - - if which == 'Abs': # p = 1 - return sum(map(abs, object)) - elif which == 'Frobenius': # p = 2 - return np.sqrt(sum([x*x for x in object])) - elif which == 'Max': # p = inf - return max(map(abs, object)) - else: - return -1 - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add column(s) containing norm of requested column(s) being either vectors or tensors. - -""", version = scriptID) - -normChoices = ['abs','frobenius','max'] -parser.add_option('-n','--norm', - dest = 'norm', - type = 'choice', choices = normChoices, metavar='string', - help = 'type of element-wise p-norm [frobenius] {%s}'%(','.join(map(str,normChoices)))) -parser.add_option('-l','--label', - dest = 'labels', - action = 'extend', metavar = '', - help = 'heading of column(s) to calculate norm of') - -parser.set_defaults(norm = 'frobenius', - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if options.norm.lower() not in normChoices: - parser.error('invalid norm ({}) specified.'.format(options.norm)) -if options.labels is None: - parser.error('no data column specified.') - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - for label in options.labels: - data = table.get(label) - data_norm = np.empty((data.shape[0],1)) - for i,d in enumerate(data): - data_norm[i] = norm(options.norm.capitalize(),d) - - table.add('norm{}({})'.format(options.norm.capitalize(),label), - data_norm, - scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/addOrientations.py b/processing/post/addOrientations.py index e1752b0a4..6a02cca08 100755 --- a/processing/post/addOrientations.py +++ b/processing/post/addOrientations.py @@ -2,6 +2,7 @@ import os import sys +from io import StringIO from optparse import OptionParser import numpy as np @@ -24,14 +25,8 @@ Additional (globally fixed) rotations of the lab frame and/or crystal frame can """, version = scriptID) -representations = { - 'quaternion': ['qu',4], - 'rodrigues': ['ro',4], - 'Rodrigues': ['Ro',3], - 'eulers': ['eu',3], - 'matrix': ['om',9], - 'angleaxis': ['ax',4], - } +representations = ['quaternion', 'rodrigues', 'eulers', 'matrix', 'axisangle'] + parser.add_option('-o', '--output', @@ -93,10 +88,10 @@ parser.set_defaults(output = [], ) (options, filenames) = parser.parse_args() +if filenames == []: filenames = [None] -#options.output = list(map(lambda x: x.lower(), options.output)) if options.output == [] or (not set(options.output).issubset(set(representations))): - parser.error('output must be chosen from {}.'.format(', '.join(representations))) + parser.error('output must be chosen from {}.'.format(', '.join(representations))) input = [options.eulers is not None, options.rodrigues is not None, @@ -109,95 +104,47 @@ input = [options.eulers is not None, if np.sum(input) != 1: parser.error('needs exactly one input format.') -(label,dim,inputtype) = [(options.eulers,representations['eulers'][1],'eulers'), - (options.rodrigues,representations['rodrigues'][1],'rodrigues'), - ([options.x,options.y,options.z],[3,3,3],'frame'), - (options.matrix,representations['matrix'][1],'matrix'), - (options.quaternion,representations['quaternion'][1],'quaternion'), - ][np.where(input)[0][0]] # select input label that was requested - -r = damask.Rotation.fromAxisAngle(np.array(options.crystalrotation),options.degrees,normalise=True) -R = damask.Rotation.fromAxisAngle(np.array(options.labrotation),options.degrees,normalise=True) - - -# --- loop over input files ------------------------------------------------------------------------ - -if filenames == []: filenames = [None] +r = damask.Rotation.from_axis_angle(np.array(options.crystalrotation),options.degrees,normalize=True) +R = damask.Rotation.from_axis_angle(np.array(options.labrotation),options.degrees,normalize=True) for name in filenames: - try: - table = damask.ASCIItable(name = name) - except IOError: - continue - damask.util.report(scriptName,name) + damask.util.report(scriptName,name) -# ------------------------------------------ read header ------------------------------------------ + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) - table.head_read() + if options.eulers is not None: + label = options.eulers + print(np.max(table.get(options.eulers),axis=0)) + o = damask.Rotation.from_Eulers(table.get(options.eulers), options.degrees) + elif options.rodrigues is not None: + label = options.rodrigues + o = damask.Rotation.from_Rodrigues(table.get(options.rodrigues)) + elif options.matrix is not None: + label = options.matrix + o = damask.Rotation.from_matrix(table.get(options.matrix).reshape(-1,3,3)) + elif options.x is not None: + label = '<{},{},{}>'.format(options.x,options.y,options.z) + M = np.block([table.get(options.x),table.get(options.y),table.get(options.z)]).reshape(-1,3,3) + o = damask.Rotation.from_matrix(M/np.linalg.norm(M,axis=0)) + elif options.quaternion is not None: + label = options.quaternion + o = damask.Rotation.from_quaternion(table.get(options.quaternion)) -# ------------------------------------------ sanity checks ----------------------------------------- + o = r.broadcast_to(o.shape) @ o @ R.broadcast_to(o.shape) - errors = [] - remarks = [] - - if not np.all(table.label_dimension(label) == dim): errors.append('input {} does not have dimension {}.'.format(label,dim)) - else: column = table.label_index(label) + #if options.lattice is not None: + # o = damask.Orientation(rotation = o,lattice = options.lattice).reduced().rotation - if remarks != []: damask.util.croak(remarks) - if errors != []: - damask.util.croak(errors) - table.close(dismiss = True) - continue -# ------------------------------------------ assemble header --------------------------------------- + if 'rodrigues' in options.output: + table = table.add('ro({})'.format(label),o.as_Rodrigues(), scriptID+' '+' '.join(sys.argv[1:])) + if 'eulers' in options.output: + table = table.add('eu({})'.format(label),o.as_Eulers(options.degrees), scriptID+' '+' '.join(sys.argv[1:])) + if 'quaternion' in options.output: + table = table.add('qu({})'.format(label),o.as_quaternion(), scriptID+' '+' '.join(sys.argv[1:])) + if 'matrix' in options.output: + table = table.add('om({})'.format(label),o.as_matrix(), scriptID+' '+' '.join(sys.argv[1:])) + if 'axisangle' in options.output: + table = table.add('om({})'.format(label),o.as_axisangle(options.degrees), scriptID+' '+' '.join(sys.argv[1:])) - table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:])) - for output in options.output: - if output in representations: - table.labels_append(['{}_{}({})'.format(i+1,representations[output][0],label) \ - for i in range(representations[output][1])]) - table.head_write() - -# ------------------------------------------ process data ------------------------------------------ - - outputAlive = True - while outputAlive and table.data_read(): # read next data line of ASCII table - if inputtype == 'eulers': - d = representations['eulers'][1] - o = damask.Rotation.fromEulers(list(map(float,table.data[column:column+d])),options.degrees) - - elif inputtype == 'rodrigues': - d = representations['rodrigues'][1] - o = damask.Rotation.fromRodrigues(list(map(float,table.data[column:column+d]))) - - elif inputtype == 'matrix': - d = representations['matrix'][1] - o = damask.Rotation.fromMatrix(np.array(list(map(float,table.data[column:column+d]))).reshape(3,3)) - - elif inputtype == 'frame': - M = np.array(list(map(float,table.data[column[0]:column[0]+3] + \ - table.data[column[1]:column[1]+3] + \ - table.data[column[2]:column[2]+3]))).reshape(3,3).T - o = damask.Rotation.fromMatrix(M/np.linalg.norm(M,axis=0)) - - elif inputtype == 'quaternion': - d = representations['quaternion'][1] - o = damask.Rotation.fromQuaternion(list(map(float,table.data[column:column+d]))) - - o = r*o*R # apply additional lab and crystal frame rotations - - if options.lattice is not None: - o = damask.Orientation(rotation = o,lattice = options.lattice).reduced().rotation - - for output in options.output: - if output == 'quaternion': table.data_append(o.asQuaternion()) - elif output == 'rodrigues': table.data_append(o.asRodrigues()) - elif output == 'Rodrigues': table.data_append(o.asRodrigues(vector=True)) - elif output == 'eulers': table.data_append(o.asEulers(degrees=options.degrees)) - elif output == 'matrix': table.data_append(o.asMatrix()) - elif output == 'angleaxis': table.data_append(o.asAxisAngle(degrees=options.degrees)) - outputAlive = table.data_write() # output processed line - -# ------------------------------------------ output finalization ----------------------------------- - - table.close() # close ASCII tables + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addPK2.py b/processing/post/addPK2.py deleted file mode 100755 index 2894a5a90..000000000 --- a/processing/post/addPK2.py +++ /dev/null @@ -1,50 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add column(s) containing Second Piola--Kirchhoff stress based on given column(s) of deformation -gradient and first Piola--Kirchhoff stress. - -""", version = scriptID) - -parser.add_option('-f','--defgrad', - dest = 'defgrad', - type = 'string', metavar = 'string', - help = 'heading of columns containing deformation gradient [%default]') -parser.add_option('-p','--stress', - dest = 'stress', - type = 'string', metavar = 'string', - help = 'heading of columns containing first Piola--Kirchhoff stress [%default]') - -parser.set_defaults(defgrad = 'f', - stress = 'p', - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - table.add('S', - damask.mechanics.PK2(table.get(options.stress ).reshape(-1,3,3), - table.get(options.defgrad).reshape(-1,3,3)).reshape(-1,9), - scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/addPole.py b/processing/post/addPole.py deleted file mode 100755 index 58f9235dc..000000000 --- a/processing/post/addPole.py +++ /dev/null @@ -1,65 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add coordinates of stereographic projection of given direction (pole) in crystal frame. - -""", version = scriptID) - -parser.add_option('-p', - '--pole', - dest = 'pole', - type = 'float', nargs = 3, metavar = 'float float float', - help = 'crystal frame direction for pole figure [%default]') -parser.add_option('--polar', - dest = 'polar', - action = 'store_true', - help = 'output polar coordinates (r,φ) instead of Cartesian coordinates (x,y)') -parser.add_option('-o', - '--orientation', - dest = 'quaternion', - metavar = 'string', - help = 'label of crystal orientation given as unit quaternion [%default]') - -parser.set_defaults(pole = (1.0,0.0,0.0), - quaternion = 'orientation', - ) - -(options, filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -pole = np.array(options.pole) -pole /= np.linalg.norm(pole) - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - orientation = table.get(options.quaternion) - poles = np.empty((orientation.shape[0],2)) - for i,o in enumerate(orientation): - rotatedPole = damask.Rotation(o)*pole # rotate pole according to crystal orientation - (x,y) = rotatedPole[0:2]/(1.+abs(pole[2])) # stereographic projection - poles[i] = [np.sqrt(x*x+y*y),np.arctan2(y,x)] if options.polar else [x,y] # cartesian coordinates - - table.add('pole_{}{}{}'.format(*options.pole), - poles, - scriptID+' '+' '.join(sys.argv[1:])) - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/addSchmidfactors.py b/processing/post/addSchmidfactors.py index b3c4c7500..8f43308cb 100755 --- a/processing/post/addSchmidfactors.py +++ b/processing/post/addSchmidfactors.py @@ -2,6 +2,7 @@ import os import sys +from io import StringIO from optparse import OptionParser import numpy as np @@ -15,91 +16,82 @@ scriptID = ' '.join([scriptName,damask.version]) slipSystems = { 'fcc': np.array([ - # Slip direction Plane normal - [ 0, 1,-1, 1, 1, 1, ], - [-1, 0, 1, 1, 1, 1, ], - [ 1,-1, 0, 1, 1, 1, ], - [ 0,-1,-1, -1,-1, 1, ], - [ 1, 0, 1, -1,-1, 1, ], - [-1, 1, 0, -1,-1, 1, ], - [ 0,-1, 1, 1,-1,-1, ], - [-1, 0,-1, 1,-1,-1, ], - [ 1, 1, 0, 1,-1,-1, ], - [ 0, 1, 1, -1, 1,-1, ], - [ 1, 0,-1, -1, 1,-1, ], - [-1,-1, 0, -1, 1,-1, ], - ],'f'), + [+0,+1,-1 , +1,+1,+1], + [-1,+0,+1 , +1,+1,+1], + [+1,-1,+0 , +1,+1,+1], + [+0,-1,-1 , -1,-1,+1], + [+1,+0,+1 , -1,-1,+1], + [-1,+1,+0 , -1,-1,+1], + [+0,-1,+1 , +1,-1,-1], + [-1,+0,-1 , +1,-1,-1], + [+1,+1,+0 , +1,-1,-1], + [+0,+1,+1 , -1,+1,-1], + [+1,+0,-1 , -1,+1,-1], + [-1,-1,+0 , -1,+1,-1], + ],'d'), 'bcc': np.array([ - # Slip system <111>{110} - [ 1,-1, 1, 0, 1, 1, ], - [-1,-1, 1, 0, 1, 1, ], - [ 1, 1, 1, 0,-1, 1, ], - [-1, 1, 1, 0,-1, 1, ], - [-1, 1, 1, 1, 0, 1, ], - [-1,-1, 1, 1, 0, 1, ], - [ 1, 1, 1, -1, 0, 1, ], - [ 1,-1, 1, -1, 0, 1, ], - [-1, 1, 1, 1, 1, 0, ], - [-1, 1,-1, 1, 1, 0, ], - [ 1, 1, 1, -1, 1, 0, ], - [ 1, 1,-1, -1, 1, 0, ], - # Slip system <111>{112} - [-1, 1, 1, 2, 1, 1, ], - [ 1, 1, 1, -2, 1, 1, ], - [ 1, 1,-1, 2,-1, 1, ], - [ 1,-1, 1, 2, 1,-1, ], - [ 1,-1, 1, 1, 2, 1, ], - [ 1, 1,-1, -1, 2, 1, ], - [ 1, 1, 1, 1,-2, 1, ], - [-1, 1, 1, 1, 2,-1, ], - [ 1, 1,-1, 1, 1, 2, ], - [ 1,-1, 1, -1, 1, 2, ], - [-1, 1, 1, 1,-1, 2, ], - [ 1, 1, 1, 1, 1,-2, ], - ],'f'), + [+1,-1,+1 , +0,+1,+1], + [-1,-1,+1 , +0,+1,+1], + [+1,+1,+1 , +0,-1,+1], + [-1,+1,+1 , +0,-1,+1], + [-1,+1,+1 , +1,+0,+1], + [-1,-1,+1 , +1,+0,+1], + [+1,+1,+1 , -1,+0,+1], + [+1,-1,+1 , -1,+0,+1], + [-1,+1,+1 , +1,+1,+0], + [-1,+1,-1 , +1,+1,+0], + [+1,+1,+1 , -1,+1,+0], + [+1,+1,-1 , -1,+1,+0], + [-1,+1,+1 , +2,+1,+1], + [+1,+1,+1 , -2,+1,+1], + [+1,+1,-1 , +2,-1,+1], + [+1,-1,+1 , +2,+1,-1], + [+1,-1,+1 , +1,+2,+1], + [+1,+1,-1 , -1,+2,+1], + [+1,+1,+1 , +1,-2,+1], + [-1,+1,+1 , +1,+2,-1], + [+1,+1,-1 , +1,+1,+2], + [+1,-1,+1 , -1,+1,+2], + [-1,+1,+1 , +1,-1,+2], + [+1,+1,+1 , +1,+1,-2], + ],'d'), 'hex': np.array([ - # Basal systems <11.0>{00.1} (independent of c/a-ratio, Bravais notation (4 coordinate base)) - [ 2, -1, -1, 0, 0, 0, 0, 1, ], - [-1, 2, -1, 0, 0, 0, 0, 1, ], - [-1, -1, 2, 0, 0, 0, 0, 1, ], - # 1st type prismatic systems <11.0>{10.0} (independent of c/a-ratio) - [ 2, -1, -1, 0, 0, 1, -1, 0, ], - [-1, 2, -1, 0, -1, 0, 1, 0, ], - [-1, -1, 2, 0, 1, -1, 0, 0, ], - # 2nd type prismatic systems <10.0>{11.0} -- a slip; plane normals independent of c/a-ratio - [ 0, 1, -1, 0, 2, -1, -1, 0, ], - [-1, 0, 1, 0, -1, 2, -1, 0, ], - [ 1, -1, 0, 0, -1, -1, 2, 0, ], - # 1st type 1st order pyramidal systems <11.0>{-11.1} -- plane normals depend on the c/a-ratio - [ 2, -1, -1, 0, 0, 1, -1, 1, ], - [-1, 2, -1, 0, -1, 0, 1, 1, ], - [-1, -1, 2, 0, 1, -1, 0, 1, ], - [ 1, 1, -2, 0, -1, 1, 0, 1, ], - [-2, 1, 1, 0, 0, -1, 1, 1, ], - [ 1, -2, 1, 0, 1, 0, -1, 1, ], - # pyramidal system: c+a slip <11.3>{-10.1} -- plane normals depend on the c/a-ratio - [ 2, -1, -1, 3, -1, 1, 0, 1, ], - [ 1, -2, 1, 3, -1, 1, 0, 1, ], - [-1, -1, 2, 3, 1, 0, -1, 1, ], - [-2, 1, 1, 3, 1, 0, -1, 1, ], - [-1, 2, -1, 3, 0, -1, 1, 1, ], - [ 1, 1, -2, 3, 0, -1, 1, 1, ], - [-2, 1, 1, 3, 1, -1, 0, 1, ], - [-1, 2, -1, 3, 1, -1, 0, 1, ], - [ 1, 1, -2, 3, -1, 0, 1, 1, ], - [ 2, -1, -1, 3, -1, 0, 1, 1, ], - [ 1, -2, 1, 3, 0, 1, -1, 1, ], - [-1, -1, 2, 3, 0, 1, -1, 1, ], - # pyramidal system: c+a slip <11.3>{-1-1.2} -- as for hexagonal ice (Castelnau et al. 1996, similar to twin system found below) - [ 2, -1, -1, 3, -2, 1, 1, 2, ], # sorted according to similar twin system - [-1, 2, -1, 3, 1, -2, 1, 2, ], # <11.3>{-1-1.2} shear = 2((c/a)^2-2)/(3 c/a) - [-1, -1, 2, 3, 1, 1, -2, 2, ], - [-2, 1, 1, 3, 2, -1, -1, 2, ], - [ 1, -2, 1, 3, -1, 2, -1, 2, ], - [ 1, 1, -2, 3, -1, -1, 2, 2, ], - ],'f'), + [+2,-1,-1,+0 , +0,+0,+0,+1], + [-1,+2,-1,+0 , +0,+0,+0,+1], + [-1,-1,+2,+0 , +0,+0,+0,+1], + [+2,-1,-1,+0 , +0,+1,-1,+0], + [-1,+2,-1,+0 , -1,+0,+1,+0], + [-1,-1,+2,+0 , +1,-1,+0,+0], + [-1,+1,+0,+0 , +1,+1,-2,+0], + [+0,-1,+1,+0 , -2,+1,+1,+0], + [+1,+0,-1,+0 , +1,-2,+1,+0], + [-1,+2,-1,+0 , +1,+0,-1,+1], + [-2,+1,+1,+0 , +0,+1,-1,+1], + [-1,-1,+2,+0 , -1,+1,+0,+1], + [+1,-2,+1,+0 , -1,+0,+1,+1], + [+2,-1,-1,+0 , +0,-1,+1,+1], + [+1,+1,-2,+0 , +1,-1,+0,+1], + [-2,+1,+1,+3 , +1,+0,-1,+1], + [-1,-1,+2,+3 , +1,+0,-1,+1], + [-1,-1,+2,+3 , +0,+1,-1,+1], + [+1,-2,+1,+3 , +0,+1,-1,+1], + [+1,-2,+1,+3 , -1,+1,+0,+1], + [+2,-1,-1,+3 , -1,+1,+0,+1], + [+2,-1,-1,+3 , -1,+0,+1,+1], + [+1,+1,-2,+3 , -1,+0,+1,+1], + [+1,+1,-2,+3 , +0,-1,+1,+1], + [-1,+2,-1,+3 , +0,-1,+1,+1], + [-1,+2,-1,+3 , +1,-1,+0,+1], + [-2,+1,+1,+3 , +1,-1,+0,+1], + [-1,-1,+2,+3 , +1,+1,-2,+2], + [+1,-2,+1,+3 , -1,+2,-1,+2], + [+2,-1,-1,+3 , -2,+1,+1,+2], + [+1,+1,-2,+3 , -1,-1,+2,+2], + [-1,+2,-1,+3 , +1,-2,+1,+2], + [-2,+1,+1,+3 , +2,-1,-1,+2], + ],'d'), } # -------------------------------------------------------------------- @@ -111,11 +103,11 @@ Add columns listing Schmid factors (and optional trace vector of selected system """, version = scriptID) -latticeChoices = ('fcc','bcc','hex') +lattice_choices = list(slipSystems.keys()) parser.add_option('-l', '--lattice', - dest = 'lattice', type = 'choice', choices = latticeChoices, metavar='string', - help = 'type of lattice structure [%default] {}'.format(latticeChoices)) + dest = 'lattice', type = 'choice', choices = lattice_choices, metavar='string', + help = 'type of lattice structure [%default] {}'.format(lattice_choices)) parser.add_option('--covera', dest = 'CoverA', type = 'float', metavar = 'float', help = 'C over A ratio for hexagonal systems [%default]') @@ -138,88 +130,63 @@ parser.add_option('-o', parser.set_defaults(force = (0.0,0.0,1.0), quaternion='orientation', normal = None, - lattice = latticeChoices[0], + lattice = lattice_choices[0], CoverA = np.sqrt(8./3.), ) (options, filenames) = parser.parse_args() - -force = np.array(options.force) -force /= np.linalg.norm(force) - -if options.normal is not None: - normal = np.array(options.normal) - normal /= np.linalg.norm(normal) - if abs(np.dot(force,normal)) > 1e-3: - parser.error('stress plane normal not orthogonal to force direction') -else: - normal = force - -slip_direction = np.zeros((len(slipSystems[options.lattice]),3),'f') -slip_normal = np.zeros_like(slip_direction) - - -if options.lattice in latticeChoices[:2]: - slip_direction = slipSystems[options.lattice][:,:3] - slip_normal = slipSystems[options.lattice][:,3:] -elif options.lattice == latticeChoices[2]: - # convert 4 Miller index notation of hex to orthogonal 3 Miller index notation - for i in range(len(slip_direction)): - slip_direction[i] = np.array([slipSystems['hex'][i,0]*1.5, - (slipSystems['hex'][i,0] + 2.*slipSystems['hex'][i,1])*0.5*np.sqrt(3), - slipSystems['hex'][i,3]*options.CoverA, - ]) - slip_normal[i] = np.array([slipSystems['hex'][i,4], - (slipSystems['hex'][i,4] + 2.*slipSystems['hex'][i,5])/np.sqrt(3), - slipSystems['hex'][i,7]/options.CoverA, - ]) - -slip_direction /= np.tile(np.linalg.norm(slip_direction,axis=1),(3,1)).T -slip_normal /= np.tile(np.linalg.norm(slip_normal ,axis=1),(3,1)).T - -# --- loop over input files ------------------------------------------------------------------------ - if filenames == []: filenames = [None] +force = np.array(options.force)/np.linalg.norm(options.force) + +if options.normal is not None: + normal = np.array(options.normal)/np.linalg.norm(options.ormal) + if abs(np.dot(force,normal)) > 1e-3: + parser.error('stress plane normal not orthogonal to force direction') +else: + normal = force + + +if options.lattice in ['bcc','fcc']: + slip_direction = slipSystems[options.lattice][:,:3] + slip_normal = slipSystems[options.lattice][:,3:] +elif options.lattice == 'hex': + slip_direction = np.zeros((len(slipSystems['hex']),3),'d') + slip_normal = np.zeros_like(slip_direction) + # convert 4 Miller index notation of hex to orthogonal 3 Miller index notation + for i in range(len(slip_direction)): + slip_direction[i] = np.array([slipSystems['hex'][i,0]*1.5, + (slipSystems['hex'][i,0] + 2.*slipSystems['hex'][i,1])*0.5*np.sqrt(3), + slipSystems['hex'][i,3]*options.CoverA, + ]) + slip_normal[i] = np.array([slipSystems['hex'][i,4], + (slipSystems['hex'][i,4] + 2.*slipSystems['hex'][i,5])/np.sqrt(3), + slipSystems['hex'][i,7]/options.CoverA, + ]) + +slip_direction /= np.linalg.norm(slip_direction,axis=1,keepdims=True) +slip_normal /= np.linalg.norm(slip_normal, axis=1,keepdims=True) + +labels = ['S[{direction[0]:.1g}_{direction[1]:.1g}_{direction[2]:.1g}]' + '({normal[0]:.1g}_{normal[1]:.1g}_{normal[2]:.1g})'\ + .format(normal = theNormal, direction = theDirection, + ) for theNormal,theDirection in zip(slip_normal,slip_direction)] + for name in filenames: - try: - table = damask.ASCIItable(name = name) - except IOError: - continue - damask.util.report(scriptName,name) + damask.util.report(scriptName,name) -# ------------------------------------------ read header ------------------------------------------ + table = damask.Table.load(StringIO(''.join(sys.stdin.read())) if name is None else name) - table.head_read() + o = damask.Rotation.from_quaternion(table.get(options.quaternion)) -# ------------------------------------------ sanity checks ---------------------------------------- - if not table.label_dimension(options.quaternion) == 4: - damask.util.croak('input {} does not have dimension 4.'.format(options.quaternion)) - table.close(dismiss = True) # close ASCIItable and remove empty file - continue + force = np.broadcast_to(force, o.shape+(3,)) + normal = np.broadcast_to(normal,o.shape+(3,)) + slip_direction = np.broadcast_to(slip_direction,o.shape+slip_direction.shape) + slip_normal = np.broadcast_to(slip_normal, o.shape+slip_normal.shape) + S = np.abs(np.einsum('ijk,ik->ij',slip_direction,(o@force))* + np.einsum('ijk,ik->ij',slip_normal, (o@normal))) - column = table.label_index(options.quaternion) + for i,label in enumerate(labels): + table = table.add(label,S[:,i],scriptID+' '+' '.join(sys.argv[1:])) -# ------------------------------------------ assemble header --------------------------------------- - - table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:])) - table.labels_append(['S[{direction[0]:.1g}_{direction[1]:.1g}_{direction[2]:.1g}]' - '({normal[0]:.1g}_{normal[1]:.1g}_{normal[2]:.1g})'\ - .format(normal = theNormal, - direction = theDirection, - ) for theNormal,theDirection in zip(slip_normal,slip_direction)]) - table.head_write() - -# ------------------------------------------ process data ------------------------------------------ - - outputAlive = True - while outputAlive and table.data_read(): # read next data line of ASCII table - o = damask.Rotation(np.array(list(map(float,table.data[column:column+4])))) - - table.data_append( np.abs( np.sum(slip_direction * (o * force) ,axis=1) \ - * np.sum(slip_normal * (o * normal),axis=1))) - outputAlive = table.data_write() # output processed line - -# ------------------------------------------ output finalization ----------------------------------- - - table.close() # close ASCII tables + table.save((sys.stdout if name is None else name), legacy=True) diff --git a/processing/post/addSpectralDecomposition.py b/processing/post/addSpectralDecomposition.py deleted file mode 100755 index 01371cede..000000000 --- a/processing/post/addSpectralDecomposition.py +++ /dev/null @@ -1,58 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add column(s) containing eigenvalues and eigenvectors of requested symmetric tensor column(s). - -""", version = scriptID) - -parser.add_option('-t','--tensor', - dest = 'tensor', - action = 'extend', metavar = '', - help = 'heading of columns containing tensor field values') -parser.add_option('--no-check', - dest = 'rh', - action = 'store_false', - help = 'skip check for right-handed eigenvector basis') - -parser.set_defaults(rh = True, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - for tensor in options.tensor: - - t = table.get(tensor).reshape(-1,3,3) - (u,v) = np.linalg.eigh(damask.mechanics.symmetric(t)) - if options.rh: v[np.linalg.det(v) < 0.0,:,2] *= -1.0 - - for i,o in enumerate(['Min','Mid','Max']): - table.add('eigval{}({})'.format(o,tensor),u[:,i], scriptID+' '+' '.join(sys.argv[1:])) - - for i,o in enumerate(['Min','Mid','Max']): - table.add('eigvec{}({})'.format(o,tensor),v[:,:,i],scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/addStrainTensors.py b/processing/post/addStrainTensors.py deleted file mode 100755 index 84c460b00..000000000 --- a/processing/post/addStrainTensors.py +++ /dev/null @@ -1,98 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -def parameters(stretch,strain): - """Albrecht Bertram: Elasticity and Plasticity of Large Deformations An Introduction (3rd Edition, 2012), p. 102.""" - return { - 'V#ln': ('V',0.0), - 'U#ln': ('U',0.0), - 'V#Biot': ('V',-.5), - 'U#Biot': ('U',+.5), - 'V#Green': ('V',-1.), - 'U#Green': ('U',+1.), - }[stretch+'#'+strain] - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Add column(s) containing given strains based on given stretches of requested deformation gradient column(s). - -""", version = scriptID) - -parser.add_option('-u','--right', - dest = 'right', - action = 'store_true', - help = 'material strains based on right Cauchy--Green deformation, i.e., C and U') -parser.add_option('-v','--left', - dest = 'left', - action = 'store_true', - help = 'spatial strains based on left Cauchy--Green deformation, i.e., B and V') -parser.add_option('-0','--logarithmic', - dest = 'logarithmic', - action = 'store_true', - help = 'calculate logarithmic strain tensor') -parser.add_option('-1','--biot', - dest = 'biot', - action = 'store_true', - help = 'calculate biot strain tensor') -parser.add_option('-2','--green', - dest = 'green', - action = 'store_true', - help = 'calculate green strain tensor') -parser.add_option('-f','--defgrad', - dest = 'defgrad', - action = 'extend', - metavar = '', - help = 'heading(s) of columns containing deformation tensor values [%default]') - -parser.set_defaults( - defgrad = ['f'], - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if len(options.defgrad) > 1: - options.defgrad = options.defgrad[1:] - -stretches = [] -strains = [] - -if options.right: stretches.append('U') -if options.left: stretches.append('V') -if options.logarithmic: strains.append('ln') -if options.biot: strains.append('Biot') -if options.green: strains.append('Green') - -if options.defgrad is None: - parser.error('no data column specified.') - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - for defgrad in options.defgrad: - F = table.get(defgrad).reshape(-1,3,3) - for theStretch in stretches: - for theStrain in strains: - (t,m) = parameters(theStretch,theStrain) - label = '{}({}){}'.format(theStrain,theStretch,defgrad if defgrad != 'f' else '') - table.add(label, - damask.mechanics.strain_tensor(F,t,m).reshape(-1,9), - scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/averageDown.py b/processing/post/averageDown.py deleted file mode 100755 index 341cc748d..000000000 --- a/processing/post/averageDown.py +++ /dev/null @@ -1,98 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np -import scipy.ndimage - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Average each data block of size 'packing' into single values thus reducing the former grid to grid/packing. - -""", version = scriptID) - -parser.add_option('-c','--coordinates', - dest = 'pos', - type = 'string', metavar = 'string', - help = 'column label of coordinates [%default]') -parser.add_option('-p','--packing', - dest = 'packing', - type = 'int', nargs = 3, metavar = 'int int int', - help = 'size of packed group [%default]') -parser.add_option('--shift', - dest = 'shift', - type = 'int', nargs = 3, metavar = 'int int int', - help = 'shift vector of packing stencil [%default]') -parser.add_option('-g', '--grid', - dest = 'grid', - type = 'int', nargs = 3, metavar = 'int int int', - help = 'grid in x,y,z (optional)') -parser.add_option('-s', '--size', - dest = 'size', - type = 'float', nargs = 3, metavar = 'float float float', - help = 'size in x,y,z (optional)') -parser.set_defaults(pos = 'pos', - packing = (2,2,2), - shift = (0,0,0), - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -packing = np.array(options.packing,dtype = int) -shift = np.array(options.shift, dtype = int) - -prefix = 'averagedDown{}x{}x{}_'.format(*packing) -if any(shift != 0): prefix += 'shift{:+}{:+}{:+}_'.format(*shift) - - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - if (options.grid is None or options.size is None): - grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) - else: - grid = np.array(options.grid,'i') - size = np.array(options.size,'d') - - packing = np.where(grid == 1,1,packing) # reset packing to 1 where grid==1 - shift = np.where(grid == 1,0,shift) # reset shift to 0 where grid==1 - packedGrid = np.maximum(np.ones(3,'i'),grid//packing) - - data = table.data.values.reshape(tuple(grid)+(-1,),order = 'F') - averagedDown = scipy.ndimage.filters.uniform_filter( \ - np.roll( - np.roll( - np.roll(data, - -shift[0],axis = 0), - -shift[1],axis = 1), - -shift[2],axis = 2), - size = list(packing) + [1], - mode = 'wrap', - origin = list(-(packing//2)) + [0])\ - [::packing[0],::packing[1],::packing[2],:].reshape((packedGrid.prod(),-1),order = 'F') - - - table = damask.Table(averagedDown,table.shapes,table.comments) - - coords = damask.grid_filters.cell_coord0(packedGrid,size,shift/packedGrid*size+origin) - table.set(options.pos, coords.reshape(-1,3,order='F')) - - - outname = os.path.join(os.path.dirname(name),prefix+os.path.basename(name)) - table.to_ASCII(sys.stdout if name is None else outname) diff --git a/processing/post/binXY.py b/processing/post/binXY.py deleted file mode 100755 index 860b70027..000000000 --- a/processing/post/binXY.py +++ /dev/null @@ -1,143 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Produces a binned grid of two columns from an ASCIItable, i.e. a two-dimensional probability density map. - -""", version = scriptID) - -parser.add_option('-d','--data', - dest = 'data', - type = 'string', nargs = 2, metavar = 'string string', - help = 'column labels containing x and y ') -parser.add_option('-w','--weight', - dest = 'weight', - type = 'string', metavar = 'string', - help = 'column label containing weight of (x,y) point') -parser.add_option('-b','--bins', - dest = 'bins', - type = 'int', nargs = 2, metavar = 'int int', - help = 'number of bins in x and y direction [%default]') -parser.add_option('-t','--type', - dest = 'type', - type = 'string', nargs = 3, metavar = 'string string string', - help = 'type (linear/log) of x, y, and z axis [%default]') -parser.add_option('-x','--xrange', - dest = 'xrange', - type = 'float', nargs = 2, metavar = 'float float', - help = 'min max limits in x direction (optional)') -parser.add_option('-y','--yrange', - dest = 'yrange', - type = 'float', nargs = 2, metavar = 'float float', - help = 'min max limits in y direction (optional)') -parser.add_option('-z','--zrange', - dest = 'zrange', - type = 'float', nargs = 2, metavar = 'float float', - help = 'min max limits in z direction (optional)') -parser.add_option('-i','--invert', - dest = 'invert', - action = 'store_true', - help = 'invert probability density') -parser.add_option('-r','--rownormalize', - dest = 'normRow', - action = 'store_true', - help = 'normalize probability density in each row') -parser.add_option('-c','--colnormalize', - dest = 'normCol', - action = 'store_true', - help = 'normalize probability density in each column') - -parser.set_defaults(bins = (10,10), - type = ('linear','linear','linear'), - xrange = (0.0,0.0), - yrange = (0.0,0.0), - zrange = (0.0,0.0), - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -minmax = np.array([options.xrange,options.yrange,options.zrange]) -result = np.empty((options.bins[0],options.bins[1],3),'f') - -if options.data is None: parser.error('no data columns specified.') - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - data = np.hstack((table.get(options.data[0]),table.get(options.data[1]))) - - for c in (0,1): # check data minmax for x and y (i = 0 and 1) - if (minmax[c] == 0.0).all(): minmax[c] = [data[:,c].min(),data[:,c].max()] - if options.type[c].lower() == 'log': # if log scale - data[:,c] = np.log(data[:,c]) # change x,y coordinates to log - minmax[c] = np.log(minmax[c]) # change minmax to log, too - - delta = minmax[:,1]-minmax[:,0] - (grid,xedges,yedges) = np.histogram2d(data[:,0],data[:,1], - bins=options.bins, - range=minmax[:2], - weights=table.get(options.weight) if options.weight else None) - if options.normCol: - for x in range(options.bins[0]): - sum = np.sum(grid[x,:]) - if sum > 0.0: - grid[x,:] /= sum - if options.normRow: - for y in range(options.bins[1]): - sum = np.sum(grid[:,y]) - if sum > 0.0: - grid[:,y] /= sum - - if (minmax[2] == 0.0).all(): minmax[2] = [grid.min(),grid.max()] # auto scale from data - if minmax[2,0] == minmax[2,1]: - minmax[2,0] -= 1. - minmax[2,1] += 1. - if (minmax[2] == 0.0).all(): # no data in grid? - damask.util.croak('no data found on grid...') - minmax[2,:] = np.array([0.0,1.0]) # making up arbitrary z minmax - if options.type[2].lower() == 'log': - grid = np.log(grid) - minmax[2] = np.log(minmax[2]) - - delta[2] = minmax[2,1]-minmax[2,0] - - for x in range(options.bins[0]): - for y in range(options.bins[1]): - result[x,y,:] = [minmax[0,0]+delta[0]/options.bins[0]*(x+0.5), - minmax[1,0]+delta[1]/options.bins[1]*(y+0.5), - np.clip((grid[x,y]-minmax[2,0])/delta[2],0.0,1.0)] - - for c in (0,1): - if options.type[c].lower() == 'log': result[:,:,c] = np.exp(result[:,:,c]) - - if options.invert: result[:,:,2] = 1.0 - result[:,:,2] - - comments = scriptID + '\t' + ' '.join(sys.argv[1:]) - shapes = {'bin_%s'%options.data[0]:(1,),'bin_%s'%options.data[1]:(1,),'z':(1,)} - table = damask.Table(result.reshape(options.bins[0]*options.bins[1],3),shapes,[comments]) - if name: - outname = os.path.join(os.path.dirname(name),'binned-{}-{}_'.format(*options.data) + - ('weighted-{}_'.format(options.weight) if options.weight else '') + - os.path.basename(name)) - table.to_ASCII(outname) - else: - table.to_ASCII(sys.stdout) diff --git a/processing/post/blowUp.py b/processing/post/blowUp.py deleted file mode 100755 index 23c6b2ef2..000000000 --- a/processing/post/blowUp.py +++ /dev/null @@ -1,72 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -from scipy import ndimage -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Blows up each value to a surrounding data block of size 'packing' thus increasing the former resolution -to resolution*packing. - -""", version = scriptID) - -parser.add_option('-c','--coordinates', - dest = 'pos', metavar = 'string', - help = 'column label of coordinates [%default]') -parser.add_option('-p','--packing', - dest = 'packing', type = 'int', nargs = 3, metavar = 'int int int', - help = 'dimension of packed group [%default]') -parser.add_option('-g','--grid', - dest = 'resolution', type = 'int', nargs = 3, metavar = 'int int int', - help = 'grid in x,y,z (optional)') -parser.add_option('-s','--size', - dest = 'dimension', type = 'float', nargs = 3, metavar = 'int int int', - help = 'size in x,y,z (optional)') -parser.set_defaults(pos = 'pos', - packing = (2,2,2), - grid = (0,0,0), - size = (0.0,0.0,0.0), - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -options.packing = np.array(options.packing) -prefix = 'blowUp{}x{}x{}_'.format(*options.packing) - - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) - - packing = np.array(options.packing,'i') - outSize = grid*packing - - data = table.data.values.reshape(tuple(grid)+(-1,),order='F') - blownUp = ndimage.interpolation.zoom(data,tuple(packing)+(1,),order=0,mode='nearest').reshape(outSize.prod(),-1,order='F') - - table = damask.Table(blownUp,table.shapes,table.comments) - - coords = damask.grid_filters.cell_coord0(outSize,size,origin) - table.set(options.pos,coords.reshape(-1,3,order='F')) - table.set('elem',np.arange(1,outSize.prod()+1)) - - outname = os.path.join(os.path.dirname(name),prefix+os.path.basename(name)) - table.to_ASCII(sys.stdout if name is None else outname) diff --git a/processing/post/filterTable.py b/processing/post/filterTable.py deleted file mode 100755 index 494257a60..000000000 --- a/processing/post/filterTable.py +++ /dev/null @@ -1,161 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser -import re -import fnmatch -import math # noqa - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -def sortingList(labels,whitelistitems): - - indices = [] - names = [] - - for label in labels: - if re.match(r'^\d+_',label): - indices.append(int(label.split('_',1)[0])) - names.append(label.split('_',1)[1]) - else: - indices.append(0) - names.append(label) - - return [indices,names,whitelistitems] - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Filter rows according to condition and columns by either white or black listing. - -Examples: -Every odd row if x coordinate is positive -- " #ip.x# >= 0.0 and #_row_#%2 == 1 ). -All rows where label 'foo' equals 'bar' -- " #s#foo# == 'bar' " - -""", version = scriptID) - -parser.add_option('-w','--white', - dest = 'whitelist', - action = 'extend', metavar = '', - help = 'whitelist of column labels (a,b,c,...)') -parser.add_option('-b','--black', - dest = 'blacklist', - action = 'extend', metavar='', - help = 'blacklist of column labels (a,b,c,...)') -parser.add_option('-c','--condition', - dest = 'condition', metavar='string', - help = 'condition to filter rows') - -parser.set_defaults(condition = None, - ) - -(options,filenames) = parser.parse_args() - -# --- loop over input files ------------------------------------------------------------------------- - -if filenames == []: filenames = [None] - -for name in filenames: - try: - table = damask.ASCIItable(name = name) - except IOError: - continue - damask.util.report(scriptName,name) - -# ------------------------------------------ assemble info --------------------------------------- - - table.head_read() - -# ------------------------------------------ process data --------------------------------------- - - specials = { \ - '_row_': 0, - } - labels = [] - positions = [] - - for position,label in enumerate(table.labels(raw = True)): - if (options.whitelist is None or any([ position in table.label_indexrange(needle) \ - or fnmatch.fnmatch(label,needle) for needle in options.whitelist])) \ - and (options.blacklist is None or not any([ position in table.label_indexrange(needle) \ - or fnmatch.fnmatch(label,needle) for needle in options.blacklist])): # a label to keep? - labels.append(label) # remember name... - positions.append(position) # ...and position - - if len(labels) > 0 and options.whitelist is not None and options.blacklist is None: # check whether reordering is possible - whitelistitem = np.zeros(len(labels),dtype=int) - for i,label in enumerate(labels): # check each selected label - match = [ positions[i] in table.label_indexrange(needle) \ - or fnmatch.fnmatch(label,needle) for needle in options.whitelist] # which whitelist items do match it - whitelistitem[i] = match.index(True) if np.sum(match) == 1 else -1 # unique match to a whitelist item --> store which - - order = range(len(labels)) if np.any(whitelistitem < 0) \ - else np.lexsort(sortingList(labels,whitelistitem)) # reorder if unique, i.e. no "-1" in whitelistitem - else: - order = range(len(labels)) # maintain original order of labels - -# --------------------------------------- evaluate condition --------------------------------------- - if options.condition is not None: - condition = options.condition # copy per file, since might be altered inline - breaker = False - - for position,(all,marker,column) in enumerate(set(re.findall(r'#(([s]#)?(.+?))#',condition))): # find three groups - idx = table.label_index(column) - dim = table.label_dimension(column) - if idx < 0 and column not in specials: - damask.util.croak('column "{}" not found.'.format(column)) - breaker = True - else: - if column in specials: - replacement = 'specials["{}"]'.format(column) - elif dim == 1: # scalar input - replacement = '{}(table.data[{}])'.format({ '':'float', - 's#':'str'}[marker],idx) # take float or string value of data column - elif dim > 1: # multidimensional input (vector, tensor, etc.) - replacement = 'np.array(table.data[{}:{}],dtype=float)'.format(idx,idx+dim) # use (flat) array representation - - condition = condition.replace('#'+all+'#',replacement) - - if breaker: continue # found mistake in condition evaluation --> next file - -# ------------------------------------------ assemble header --------------------------------------- - - table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:])) - table.labels_clear() - table.labels_append(np.array(labels)[order]) # update with new label set - table.head_write() - -# ------------------------------------------ process and output data ------------------------------------------ - - positions = np.array(positions)[order] - - atOnce = options.condition is None - if atOnce: # read full array and filter columns - try: - table.data_readArray(positions+1) # read desired columns (indexed 1,...) - table.data_writeArray() # directly write out - except Exception: - table.data_rewind() - atOnce = False # data contains items that prevent array chunking - - if not atOnce: # read data line by line - outputAlive = True - while outputAlive and table.data_read(): # read next data line of ASCII table - specials['_row_'] += 1 # count row - if options.condition is None or eval(condition): # valid row ? - table.data = [table.data[position] for position in positions] # retain filtered columns - outputAlive = table.data_write() # output processed line - -# ------------------------------------------ finalize output ----------------------------------------- - - table.close() # close input ASCII table (works for stdin) diff --git a/processing/post/groupTable.py b/processing/post/groupTable.py deleted file mode 100755 index a73e7d505..000000000 --- a/processing/post/groupTable.py +++ /dev/null @@ -1,142 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser, OptionGroup -import math # noqa - -import numpy as np - -import damask - - -def periodicAverage(coords, limits): - """Centroid in periodic domain, see https://en.wikipedia.org/wiki/Center_of_mass#Systems_with_periodic_boundary_conditions.""" - theta = 2.0*np.pi * (coords - limits[0])/(limits[1] - limits[0]) - theta_avg = np.pi + np.arctan2(-np.sin(theta).mean(axis=0), -np.cos(theta).mean(axis=0)) - return limits[0] + theta_avg * (limits[1] - limits[0])/2.0/np.pi - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Apply a user-specified function to condense into a single row all those rows for which columns 'label' have identical values. -Output table will contain as many rows as there are different (unique) values in the grouping column(s). -Periodic domain averaging of coordinate values is supported. - -Examples: -For grain averaged values, replace all rows of particular 'texture' with a single row containing their average. -{name} --label texture --function np.average data.txt -""".format(name = scriptName), version = scriptID) - -parser.add_option('-l','--label', - dest = 'label', - action = 'extend', metavar = '', - help = 'column label(s) for grouping rows') -parser.add_option('-f','--function', - dest = 'function', - type = 'string', metavar = 'string', - help = 'mapping function [%default]') -parser.add_option('-a','--all', - dest = 'all', - action = 'store_true', - help = 'apply mapping function also to grouping column(s)') - -group = OptionGroup(parser, "periodic averaging", "") - -group.add_option ('-p','--periodic', - dest = 'periodic', - action = 'extend', metavar = '', - help = 'coordinate label(s) to average across periodic domain') -group.add_option ('--limits', - dest = 'boundary', - type = 'float', metavar = 'float float', nargs = 2, - help = 'min and max of periodic domain %default') - -parser.add_option_group(group) - -parser.set_defaults(function = 'np.average', - all = False, - label = [], - boundary = [0.0, 1.0]) - -(options,filenames) = parser.parse_args() - -funcModule,funcName = options.function.split('.') - -try: - mapFunction = getattr(locals().get(funcModule) or - globals().get(funcModule) or - __import__(funcModule), - funcName) -except Exception: - mapFunction = None - -if options.label is []: - parser.error('no grouping column specified.') -if not hasattr(mapFunction,'__call__'): - parser.error('function "{}" is not callable.'.format(options.function)) - - -# --- loop over input files ------------------------------------------------------------------------- - -if filenames == []: filenames = [None] - -for name in filenames: - try: - table = damask.ASCIItable(name = name) - except IOError: - continue - damask.util.report(scriptName,name) - -# ------------------------------------------ sanity checks --------------------------------------- - - remarks = [] - errors = [] - - table.head_read() - grpColumns = table.label_index(options.label)[::-1] - grpColumns = grpColumns[np.where(grpColumns>=0)] - - if len(grpColumns) == 0: errors.append('no valid grouping column present.') - - if remarks != []: damask.util.croak(remarks) - if errors != []: - damask.util.croak(errors) - table.close(dismiss=True) - continue - -# ------------------------------------------ assemble info --------------------------------------- - - table.info_append(scriptID + '\t' + ' '.join(sys.argv[1:])) - table.head_write() - -# ------------------------------------------ process data -------------------------------- - - table.data_readArray() - indexrange = table.label_indexrange(options.periodic) if options.periodic is not None else [] - rows,cols = table.data.shape - - table.data = table.data[np.lexsort(table.data[:,grpColumns].T)] # sort data by grpColumn(s) - values,index = np.unique(table.data[:,grpColumns], axis=0, return_index=True) # unique grpColumn values and their positions - index = sorted(np.append(index,rows)) # add termination position - grpTable = np.empty((len(values), cols)) # initialize output - - for i in range(len(values)): # iterate over groups (unique values in grpColumn) - grpTable[i] = np.apply_along_axis(mapFunction,0,table.data[index[i]:index[i+1]]) # apply (general) mapping function - grpTable[i,indexrange] = \ - periodicAverage(table.data[index[i]:index[i+1],indexrange],options.boundary) # apply periodicAverage mapping function - - if not options.all: grpTable[i,grpColumns] = table.data[index[i],grpColumns] # restore grouping column value - - table.data = grpTable - -# ------------------------------------------ output result ------------------------------- - - table.data_writeArray() - table.close() # close ASCII table diff --git a/processing/post/imageData.py b/processing/post/imageData.py deleted file mode 100755 index 51547d4eb..000000000 --- a/processing/post/imageData.py +++ /dev/null @@ -1,184 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser - -import numpy as np -from PIL import Image - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description = """ -Generate PNG image from data in given column (or 2D data of overall table). - -""", version = scriptID) - -parser.add_option('-l','--label', - dest = 'label', - type = 'string', metavar = 'string', - help = 'column containing data [all]') -parser.add_option('-r','--range', - dest = 'range', - type = 'float', nargs = 2, metavar = 'float float', - help = 'data range (min max) [auto]') -parser.add_option('--gap', '--transparent', - dest = 'gap', - type = 'float', metavar = 'float', - help = 'value to treat as transparent [%default]') -parser.add_option('-d','--dimension', - dest = 'dimension', - type = 'int', nargs = 2, metavar = 'int int', - help = 'data dimension (width height) [native]') -parser.add_option('--color', - dest = 'color', - type = 'string', metavar = 'string', - help = 'color scheme [%default]') -parser.add_option('--invert', - dest = 'invert', - action = 'store_true', - help = 'invert color scheme') -parser.add_option('--abs', - dest = 'abs', - action = 'store_true', - help = 'magnitude of values') -parser.add_option('--log', - dest = 'log', - action = 'store_true', - help = 'log10 of values') -parser.add_option('--fliplr', - dest = 'flipLR', - action = 'store_true', - help = 'flip around vertical axis') -parser.add_option('--flipud', - dest = 'flipUD', - action = 'store_true', - help = 'flip around horizontal axis') -parser.add_option('--crop', - dest = 'crop', - type = 'int', nargs = 4, metavar = 'int int int int', - help = 'pixels cropped on left, right, top, bottom') -parser.add_option('-N','--pixelsize', - dest = 'pixelsize', - type = 'int', metavar = 'int', - help = 'pixel per data point') -parser.add_option('-x','--pixelsizex', - dest = 'pixelsizex', - type = 'int', metavar = 'int', - help = 'pixel per data point along x') -parser.add_option('-y','--pixelsizey', - dest = 'pixelsizey', - type = 'int', metavar = 'int', - help = 'pixel per data point along y') -parser.add_option('--show', - dest = 'show', - action = 'store_true', - help = 'show resulting image') - -parser.set_defaults(label = None, - range = [0.0,0.0], - gap = None, - dimension = [], - abs = False, - log = False, - flipLR = False, - flipUD = False, - color = "gray", - invert = False, - crop = [0,0,0,0], - pixelsize = 1, - pixelsizex = 1, - pixelsizey = 1, - show = False, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if options.pixelsize > 1: (options.pixelsizex,options.pixelsizey) = [options.pixelsize]*2 - -# --- color palette --------------------------------------------------------------------------------- - -theMap = damask.Colormap(predefined = options.color) -if options.invert: theMap = theMap.invert() -theColors = np.uint8(np.array(theMap.export(format = 'list',steps = 256))*255) - -# --- loop over input files ------------------------------------------------------------------------- -for name in filenames: - try: - table = damask.ASCIItable(name = name, labeled = options.label is not None, readonly = True) - except IOError: - continue - damask.util.report(scriptName,name) - -# ------------------------------------------ read header ------------------------------------------ - - table.head_read() - -# ------------------------------------------ process data ------------------------------------------ - - missing_labels = table.data_readArray(options.label) - if len(missing_labels) > 0: - damask.util.croak('column {} not found.'.format(options.label)) - table.close(dismiss = True) # close ASCIItable and remove empty file - continue -# convert data to values between 0 and 1 and arrange according to given options - if options.dimension != []: table.data = table.data.reshape(options.dimension[1],options.dimension[0]) - if options.abs: table.data = np.abs(table.data) - if options.log: table.data = np.log10(table.data);options.range = np.log10(options.range) - if options.flipLR: table.data = np.fliplr(table.data) - if options.flipUD: table.data = np.flipud(table.data) - - mask = np.logical_or(table.data == options.gap, np.isnan(table.data))\ - if options.gap else np.logical_not(np.isnan(table.data)) # mask gap and NaN (if gap present) - if np.all(np.array(options.range) == 0.0): - options.range = [table.data[mask].min(), - table.data[mask].max()] - damask.util.croak('data range: {0} – {1}'.format(*options.range)) - - delta = max(options.range) - min(options.range) - avg = 0.5*(max(options.range) + min(options.range)) - - if delta * 1e8 <= avg: # delta around numerical noise - options.range = [min(options.range) - 0.5*avg, max(options.range) + 0.5*avg] # extend range to have actual data centered within - - table.data = (table.data - min(options.range)) / \ - (max(options.range) - min(options.range)) - - table.data = np.clip(table.data,0.0,1.0).\ - repeat(options.pixelsizex,axis = 1).\ - repeat(options.pixelsizey,axis = 0) - - mask = mask.\ - repeat(options.pixelsizex,axis = 1).\ - repeat(options.pixelsizey,axis = 0) - - (height,width) = table.data.shape - damask.util.croak('image dimension: {0} x {1}'.format(width,height)) - - im = Image.fromarray(np.dstack((theColors[np.array(255*table.data,dtype = np.uint8)], - 255*mask.astype(np.uint8))), 'RGBA').\ - crop(( options.crop[0], - options.crop[2], - width -options.crop[1], - height-options.crop[3])) - -# ------------------------------------------ output result ----------------------------------------- - - im.save(sys.stdout if not name else - os.path.splitext(name)[0]+ \ - ('' if options.label is None else '_'+options.label)+ \ - '.png', - format = "PNG") - - table.close() # close ASCII table - if options.show: im.show() diff --git a/processing/post/imageDataRGB.py b/processing/post/imageDataRGB.py deleted file mode 100755 index a34a48f4f..000000000 --- a/processing/post/imageDataRGB.py +++ /dev/null @@ -1,134 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser - -import numpy as np -from PIL import Image - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description = """ -Generate PNG image from data in given column vector containing RGB tuples. - -""", version = scriptID) - -parser.add_option('-l','--label', - dest = 'label', - type = 'string', metavar = 'string', - help = 'column containing RGB triplet') -parser.add_option('-d','--dimension', - dest = 'dimension', - type = 'int', nargs = 2, metavar = 'int int', - help = 'data dimension (width height)') -parser.add_option('--fliplr', - dest = 'flipLR', - action = 'store_true', - help = 'flip around vertical axis') -parser.add_option('--flipud', - dest = 'flipUD', - action = 'store_true', - help = 'flip around horizontal axis') -parser.add_option('--crop', - dest = 'crop', - type = 'int', nargs = 4, metavar = ' '.join(['int']*4), - help = 'pixels cropped on left, right, top, bottom') -parser.add_option('-N','--pixelsize', - dest = 'pixelsize', - type = 'int', metavar = 'int', - help = 'pixels per data point') -parser.add_option('-x','--pixelsizex', - dest = 'pixelsizex', - type = 'int', metavar = 'int', - help = 'pixels per data point along x') -parser.add_option('-y','--pixelsizey', - dest = 'pixelsizey', - type = 'int', metavar = 'int', - help = 'pixels per data point along y') -parser.add_option('--show', - dest = 'show', - action = 'store_true', - help = 'show resulting image') - -parser.set_defaults(label = None, - dimension = [], - flipLR = False, - flipUD = False, - crop = [0,0,0,0], - pixelsize = 1, - pixelsizex = 1, - pixelsizey = 1, - show = False, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if options.dimension == []: parser.error('dimension of data array missing') -if options.pixelsize > 1: (options.pixelsizex,options.pixelsizey) = [options.pixelsize]*2 - -# --- loop over input files ------------------------------------------------------------------------- -for name in filenames: - try: - table = damask.ASCIItable(name = name, labeled = options.label is not None, readonly = True) - except IOError: - continue - damask.util.report(scriptName,name) - -# ------------------------------------------ read header ------------------------------------------ - - table.head_read() - -# ------------------------------------------ process data ------------------------------------------ - - errors = [] - - missing_labels = table.data_readArray(options.label) - if len(missing_labels) > 0: - errors.append('column{} {} not found'.format('s' if len(missing_labels) > 1 else '', - ', '.join(missing_labels))) - if table.label_dimension(options.label) != 3: - errors.append('column {} does not have dimension'.format(options.label)) - - if errors != []: - damask.util.croak(errors) - table.close(dismiss = True) # close ASCII table file handles and delete output file - continue -# convert data to shape and arrange according to given options - if options.dimension != []: table.data = table.data.reshape(options.dimension[1],options.dimension[0],3) - if options.flipLR: table.data = np.fliplr(table.data) - if options.flipUD: table.data = np.flipud(table.data) - - table.data = table.data.repeat(options.pixelsizex,axis=1).\ - repeat(options.pixelsizey,axis=0) - - table.data *= 1. if np.any(table.data > 1.0) else 255.0 # ensure 8 bit data range - - (height,width,bands) = table.data.shape - damask.util.croak('image dimension: {0} x {1}'.format(width,height)) - - im = Image.fromarray(table.data.astype('uint8'), 'RGB').\ - crop(( options.crop[0], - options.crop[2], - width -options.crop[1], - height-options.crop[3])) - -# ------------------------------------------ output result ----------------------------------------- - - im.save(os.path.splitext(name)[0]+ \ - ('_'+options.label if options.label else '')+ \ - '.png' if name else sys.stdout, - format = "PNG") - - table.close() # close ASCII table - if options.show: im.show() diff --git a/processing/post/perceptualUniformColorMap.py b/processing/post/perceptualUniformColorMap.py deleted file mode 100755 index 8e432536d..000000000 --- a/processing/post/perceptualUniformColorMap.py +++ /dev/null @@ -1,75 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- -#Borland, D., & Taylor, R. M. (2007). Rainbow Color Map (Still) Considered Harmful. Computer Graphics and Applications, IEEE, 27(2), 14--17. -#Moreland, K. (2009). Diverging Color Maps for Scientific Visualization. In Proc. 5th Int. Symp. Visual Computing (pp. 92--103). -outtypes = ['paraview','gmsh','raw','GOM'] -extensions = ['.json','.msh','.txt','.legend'] -colormodels = ['RGB','HSL','XYZ','CIELAB','MSH'] - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description = """ -Produces perceptually linear diverging and sequential colormaps in formats suitable for visualization software -or simply as a list of interpolated colors. - -""", version = scriptID) - -parser.add_option('-N','--steps', dest='N', type='int', nargs=1, metavar='int', - help='number of interpolation steps [%default]') -parser.add_option('-t','--trim', dest='trim', type='float', nargs=2, metavar='float float', - help='relative trim of colormap range [%default]') -parser.add_option('-l','--left', dest='left', type='float', nargs=3, metavar='float float float', - help='left color [%default]') -parser.add_option('-r','--right', dest='right', type='float', nargs=3, metavar='float float float', - help='right color [%default]') -parser.add_option('-c','--colormodel', dest='colormodel', metavar='string', - help='colormodel: '+', '.join(colormodels)+' [%default]') -parser.add_option('-p','--predefined', dest='predefined', metavar='string', - help='predefined colormap') -parser.add_option('-f','--format', dest='format', metavar='string', - help='output format: '+', '.join(outtypes)+' [%default]') -parser.set_defaults(colormodel = 'RGB') -parser.set_defaults(predefined = None) -parser.set_defaults(basename = None) -parser.set_defaults(format = 'paraview') -parser.set_defaults(N = 10) -parser.set_defaults(trim = (-1.0,1.0)) -parser.set_defaults(left = (1.0,1.0,1.0)) -parser.set_defaults(right = (0.0,0.0,0.0)) - -(options,filename) = parser.parse_args() - -if options.format not in outtypes: - parser.error('invalid format: "{}" (choices: {}).'.format(options.format,', '.join(outtypes))) - -if options.N < 2: - parser.error('too few steps (need at least 2).') - -if options.trim[0] < -1.0 or \ - options.trim[1] > 1.0 or \ - options.trim[0] >= options.trim[1]: - parser.error('invalid trim range (-1 +1).') - -name = options.format if filename == [] \ - else filename[0] -output = sys.stdout if filename == [] \ - else open(os.path.basename(filename[0])+extensions[outtypes.index(options.format)],'w') - -colorLeft = damask.Color(options.colormodel.upper(), list(options.left)) -colorRight = damask.Color(options.colormodel.upper(), list(options.right)) -colormap = damask.Colormap(colorLeft, colorRight, predefined=options.predefined) - -output.write(colormap.export(name,options.format,options.N,list(options.trim))) -output.close() diff --git a/processing/post/permuteData.py b/processing/post/permuteData.py deleted file mode 100755 index 1f4b80532..000000000 --- a/processing/post/permuteData.py +++ /dev/null @@ -1,61 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Permute all values in given column(s). - -""", version = scriptID) - -parser.add_option('-l','--label', - dest = 'label', - action = 'extend', metavar = '', - help ='column(s) to permute') -parser.add_option('-u', '--unique', - dest = 'unique', - action = 'store_true', - help = 'shuffle unique values as group') -parser.add_option('-r', '--rnd', - dest = 'randomSeed', - type = 'int', metavar = 'int', - help = 'seed of random number generator [%default]') - -parser.set_defaults(label = [], - unique = False, - randomSeed = None, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - randomSeed = int(os.urandom(4).hex(), 16) if options.randomSeed is None else options.randomSeed # random seed per file - rng = np.random.default_rng(randomSeed) - - for label in options.label: - data = table.get(label) - uniques,inverse = np.unique(data,return_inverse=True,axis=0) if options.unique else (data,np.arange(len(data))) - rng.shuffle(uniques) - table.set(label,uniques[inverse], scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/rotateData.py b/processing/post/rotateData.py deleted file mode 100755 index d270eb79e..000000000 --- a/processing/post/rotateData.py +++ /dev/null @@ -1,63 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Rotate vector and/or tensor column data by given angle around given axis. - -""", version = scriptID) - -parser.add_option('-d', '--data', - dest = 'data', - action = 'extend', metavar = '', - help = 'vector/tensor value(s) label(s)') -parser.add_option('-r', '--rotation', - dest = 'rotation', - type = 'float', nargs = 4, metavar = ' '.join(['float']*4), - help = 'axis and angle to rotate data [%default]') -parser.add_option('--degrees', - dest = 'degrees', - action = 'store_true', - help = 'angles are given in degrees') - -parser.set_defaults(rotation = (1.,1.,1.,0), # no rotation about (1,1,1) - degrees = False, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if options.data is None: - parser.error('no data column specified.') - -r = damask.Rotation.fromAxisAngle(options.rotation,options.degrees,normalise=True) - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - for data in options.data: - d = table.get(data) - if table.shapes[data] == (9,): d=d.reshape(-1,3,3) - for i,l in enumerate(d): - d[i] = r*l - if table.shapes[data] == (9,): d=d.reshape(-1,9) - - table.set(data,d,scriptID+' '+' '.join(sys.argv[1:])) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/processing/post/viewTable.py b/processing/post/viewTable.py deleted file mode 100755 index 1f134754d..000000000 --- a/processing/post/viewTable.py +++ /dev/null @@ -1,89 +0,0 @@ -#!/usr/bin/env python3 - -import os -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(usage='%prog options [ASCIItable(s)]', description = """ -Show components of given ASCIItable(s). - -""", version = scriptID) - - -parser.add_option('-a','--head', - dest = 'head', - action = 'store_true', - help = 'output complete header (info + labels)') -parser.add_option('-i','--info', - dest = 'info', - action = 'store_true', - help = 'output info lines') -parser.add_option('-l','--labels', - dest = 'labels', - action = 'store_true', - help = 'output labels') -parser.add_option('-d','--data', - dest = 'data', - action = 'store_true', - help = 'output data') -parser.add_option('-t','--table', - dest = 'table', - action = 'store_true', - help = 'output heading line for proper ASCIItable format') -parser.add_option('--nolabels', - dest = 'labeled', - action = 'store_false', - help = 'table has no labels') -parser.set_defaults(table = False, - head = False, - info = False, - labels = False, - data = False, - labeled = True, - ) - -(options,filenames) = parser.parse_args() - -# --- loop over input files ------------------------------------------------------------------------- - -if filenames == []: filenames = [None] - -for name in filenames: - try: - table = damask.ASCIItable(name = name, labeled = options.labeled, readonly = True) - except IOError: - continue - details = ', '.join( - (['header'] if options.table else []) + - (['info'] if options.head or options.info else []) + - (['labels'] if options.head or options.labels else []) + - (['data'] if options.data else []) + - [] - ) - damask.util.report(scriptName,(name if name is not None else '') + ('' if details == '' else ' -- '+details)) - -# ------------------------------------------ output head --------------------------------------- - - table.head_read() - if not (options.head or options.info): table.info_clear() - if not (options.head or (options.labels and options.labeled)): table.labels_clear() - - table.head_write(header = options.table) - -# ------------------------------------------ output data --------------------------------------- - - outputAlive = options.data - while outputAlive and table.data_read(): # read next data line of ASCII table - outputAlive = table.data_write() # output line - - table.close() diff --git a/processing/post/vtk_addData.py b/processing/post/vtk_addData.py deleted file mode 100755 index 25fcdada0..000000000 --- a/processing/post/vtk_addData.py +++ /dev/null @@ -1,65 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, - usage='%prog options [ASCIItable(s)]', - description = 'Add scalars/vectors, tensors, and/or a RGB tuples from ASCIItable ' - + 'to existing VTK file (.vtr/.vtu/.vtp).', - version = scriptID) - -parser.add_option( '--vtk', - dest = 'vtk', - type = 'string', metavar = 'string', - help = 'VTK file name') -parser.add_option('-d', '--data', - dest = 'data', - action = 'extend', metavar = '', - help = 'scalar/vector value(s) label(s)') -parser.add_option('-t', '--tensor', - dest = 'tensor', - action = 'extend', metavar = '', - help = 'tensor (3x3) value label(s)') -parser.add_option('-c', '--color', - dest = 'color', - action = 'extend', metavar = '', - help = 'RGB color tuple label') - -parser.set_defaults(data = [], - tensor = [], - color = [], -) - -(options, filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if not options.vtk: - parser.error('No VTK file specified.') - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - vtk = damask.VTK.from_file(options.vtk) - - for data in options.data+options.tensor: - vtk.add(table.get(data),data) - for color in options.color: - vtk.add((table.get(color)*255).astype(np.uint8),color) - - vtk.write(options.vtk) diff --git a/processing/post/vtk_pointCloud.py b/processing/post/vtk_pointCloud.py deleted file mode 100755 index aae31d0ff..000000000 --- a/processing/post/vtk_pointCloud.py +++ /dev/null @@ -1,45 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Produce a VTK point cloud dataset based on coordinates given in an ASCIItable. - -""", version = scriptID) - -parser.add_option('-p', - '--pos', '--position', - dest = 'pos', - type = 'string', metavar = 'string', - help = 'label of coordinates [%default]') - -parser.set_defaults(pos = 'pos', - ) - -(options, filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - v = damask.VTK.from_polyData(table.get(options.pos)) - - if name: - v.write(os.path.splitext(name)[0]) - else: - sys.stdout.write(v.__repr__()) diff --git a/processing/post/vtk_rectilinearGrid.py b/processing/post/vtk_rectilinearGrid.py deleted file mode 100755 index c8a7d1a6d..000000000 --- a/processing/post/vtk_rectilinearGrid.py +++ /dev/null @@ -1,58 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Create regular voxel grid from points in an ASCIItable. - -""", version = scriptID) - -parser.add_option('-m', - '--mode', - dest = 'mode', - metavar='string', - type = 'choice', choices = ['cell','point'], - help = 'cell-centered or point-centered coordinates') -parser.add_option('-p', - '--pos', '--position', - dest = 'pos', - type = 'string', metavar = 'string', - help = 'label of coordinates [%default]') - -parser.set_defaults(mode = 'cell', - pos = 'pos', - ) - -(options, filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - if options.mode == 'cell': - grid, size, origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) - elif options.mode == 'point': - grid, size, origin = damask.grid_filters.node_coord0_gridSizeOrigin(table.get(options.pos)) - - v = damask.VTK.from_rectilinearGrid(grid,size,origin) - - if name: - v.write('{}_{}({})'.format(os.path.splitext(name)[0],options.pos,options.mode)) - else: - sys.stdout.write(v.__repr__()) diff --git a/processing/pre/geom_addPrimitive.py b/processing/pre/geom_addPrimitive.py deleted file mode 100755 index f33ba27b1..000000000 --- a/processing/pre/geom_addPrimitive.py +++ /dev/null @@ -1,135 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [geomfile(s)]', description = """ -Inserts a primitive geometric object at a given position. -These objects can be boxes, cylinders, or ellipsoids. - -""", version = scriptID) - -parser.add_option('-c', '--center', - dest='center', - type='float', nargs = 3, metavar=' '.join(['float']*3), - help='a,b,c origin of primitive %default') -parser.add_option('-d', '--dimension', - dest='dimension', - type='float', nargs = 3, metavar=' '.join(['float']*3), - help='a,b,c extension of hexahedral box') -parser.add_option('-e', '--exponent', - dest='exponent', - type='float', nargs = 3, metavar=' '.join(['float']*3), - help='i,j,k exponents for axes: '+ - '0 gives octahedron (|x|^(2^0) + |y|^(2^0) + |z|^(2^0) < 1), '+ - '1 gives a sphere (|x|^(2^1) + |y|^(2^1) + |z|^(2^1) < 1), '+ - 'large values produce boxes, negative turn concave.') -parser.add_option('-f', '--fill', - dest='fill', - type='float', metavar = 'int', - help='microstructure index to fill primitive, defaults to max microstructure index + 1') -parser.add_option('-q', '--quaternion', - dest='quaternion', - type='float', nargs = 4, metavar=' '.join(['float']*4), - help = 'rotation of primitive as quaternion') -parser.add_option('-a', '--angleaxis', - dest='angleaxis', - type=float, nargs = 4, metavar=' '.join(['float']*4), - help = 'axis and angle to rotate primitive') -parser.add_option( '--degrees', - dest='degrees', - action='store_true', - help = 'angle is given in degrees') -parser.add_option( '--nonperiodic', - dest='periodic', - action='store_false', - help = 'wrap around edges') -parser.add_option( '--realspace', - dest='realspace', - action='store_true', - help = '-c and -d span [origin,origin+size] instead of [0,grid] coordinates') -parser.add_option( '--invert', - dest='inside', - action='store_false', - help = 'invert the volume filled by the primitive (inside/outside)') - -parser.set_defaults(center = (.0,.0,.0), - degrees = False, - exponent = (20,20,20), # box shape by default - periodic = True, - realspace = False, - inside = True, - ) - -(options, filenames) = parser.parse_args() - -if options.dimension is None: - parser.error('no dimension specified.') -if [options.angleaxis,options.quaternion].count(None) == 0: - parser.error('more than one rotation specified.') - -if options.angleaxis is not None: - rotation = damask.Rotation.fromAxisAngle(np.array(options.angleaxis),options.degrees,normalise=True) -elif options.quaternion is not None: - rotation = damask.Rotation.fromQuaternion(options.quaternion) -else: - rotation = damask.Rotation() - - -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - grid = geom.get_grid() - size = geom.get_size() - - # scale to box of size [1.0,1.0,1.0] - if options.realspace: - center = (np.array(options.center) - geom.get_origin())/size - r = np.array(options.dimension)/size/2.0 - else: - center = (np.array(options.center) + 0.5)/grid - r = np.array(options.dimension)/grid/2.0 - - if np.any(center<0.0) or np.any(center>=1.0): print('error') - - offset = np.ones(3)*0.5 if options.periodic else center - mask = np.full(grid,False) - # High exponents can cause underflow & overflow - okay here, just compare to 1, so +infinity and 0 are fine - np.seterr(over='ignore', under='ignore') - - e = 2.0**np.array(options.exponent) - for x in range(grid[0]): - for y in range(grid[1]): - for z in range(grid[2]): - coords = np.array([x+0.5,y+0.5,z+0.5])/grid - mask[x,y,z] = np.sum(np.abs((rotation*(coords-offset))/r)**e) < 1 - - if options.periodic: - shift = ((offset-center)*grid).astype(int) - mask = np.roll(mask,shift,(0,1,2)) - - if options.inside: mask = np.logical_not(mask) - fill = np.nanmax(geom.microstructure)+1 if options.fill is None else options.fill - - damask.util.croak(geom.update(np.where(mask,geom.microstructure,fill))) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - - geom.to_file(sys.stdout if name is None else name,pack=False) diff --git a/processing/pre/geom_canvas.py b/processing/pre/geom_canvas.py deleted file mode 100755 index edd5fe622..000000000 --- a/processing/pre/geom_canvas.py +++ /dev/null @@ -1,74 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [geomfile(s)]', description = """ -Increases or decreases the (three-dimensional) canvas. -Grid can be given as absolute or relative values, e.g. 16 16 16 or 2x 0.5x 32. - -""", version = scriptID) - -parser.add_option('-g','--grid', - dest = 'grid', - type = 'string', nargs = 3, metavar = ' '.join(['string']*3), - help = 'a,b,c grid of hexahedral box') -parser.add_option('-o','--offset', - dest = 'offset', - type = 'int', nargs = 3, metavar = ' '.join(['int']*3), - help = 'a,b,c offset from old to new origin of grid [%default]') -parser.add_option('-f','--fill', - dest = 'fill', - type = 'float', metavar = 'int', - help = 'background microstructure index, defaults to max microstructure index + 1') - -parser.set_defaults(offset = (0,0,0)) - -(options, filenames) = parser.parse_args() - - -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - origin = geom.get_origin() - size = geom.get_size() - old = new = geom.get_grid() - offset = np.asarray(options.offset) - - if options.grid is not None: - new = np.maximum(1, - np.array([int(o*float(n.lower().replace('x',''))) if n.lower().endswith('x') \ - else int(n) for o,n in zip(old,options.grid)],dtype=int)) - - canvas = np.full(new,options.fill if options.fill is not None - else np.nanmax(geom.microstructure)+1,geom.microstructure.dtype) - - l = np.clip( offset, 0,np.minimum(old +offset,new)) # noqa - r = np.clip( offset+old,0,np.minimum(old*2+offset,new)) - L = np.clip(-offset, 0,np.minimum(new -offset,old)) - R = np.clip(-offset+new,0,np.minimum(new*2-offset,old)) - canvas[l[0]:r[0],l[1]:r[1],l[2]:r[2]] = geom.microstructure[L[0]:R[0],L[1]:R[1],L[2]:R[2]] - - - damask.util.croak(geom.update(canvas,origin=origin+offset*size/old,rescale=True)) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - - geom.to_file(sys.stdout if name is None else name,pack=False) diff --git a/processing/pre/geom_check.py b/processing/pre/geom_check.py deleted file mode 100755 index e7e4d1009..000000000 --- a/processing/pre/geom_check.py +++ /dev/null @@ -1,37 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog [geomfile(s)]', description = """ -Writes vtk file for visualization. - -""", version = scriptID) - -(options, filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - - damask.util.croak(geom) - - if name: - geom.to_vtk(os.path.splitext(name)[0]) - else: - sys.stdout.write(geom.to_vtk()) diff --git a/processing/pre/geom_fromDREAM3D.py b/processing/pre/geom_fromDREAM3D.py index 7d5b1442d..eca837455 100755 --- a/processing/pre/geom_fromDREAM3D.py +++ b/processing/pre/geom_fromDREAM3D.py @@ -1,12 +1,8 @@ #!/usr/bin/env python3 import os -import sys from optparse import OptionParser -import h5py -import numpy as np - import damask @@ -52,16 +48,11 @@ parser.add_option('-q', '--quaternion', type = 'string', metavar='string', help = 'name of the dataset containing pointwise/average orientation as quaternion [%default]') -parser.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') parser.set_defaults(pointwise = 'CellData', quaternion = 'Quats', phase = 'Phases', microstructure = 'FeatureIds', - homogenization = 1, ) (options, filenames) = parser.parse_args() @@ -69,89 +60,12 @@ parser.set_defaults(pointwise = 'CellData', if options.basegroup is None: parser.error('No base group selected') -rootDir ='DataContainers' - - if filenames == []: parser.error('no input file specified.') for name in filenames: - damask.util.report(scriptName,name) + damask.util.report(scriptName,name) - errors = [] + geom = damask.Geom.load_DREAM3D(name,options.basegroup,options.pointwise) + damask.util.croak(geom) - inFile = h5py.File(name, 'r') - group_geom = os.path.join(rootDir,options.basegroup,'_SIMPL_GEOMETRY') - try: - size = inFile[os.path.join(group_geom,'DIMENSIONS')][...] \ - * inFile[os.path.join(group_geom,'SPACING')][...] - grid = inFile[os.path.join(group_geom,'DIMENSIONS')][...] - origin = inFile[os.path.join(group_geom,'ORIGIN')][...] - except KeyError: - errors.append('Geometry data ({}) not found'.format(group_geom)) - - - group_pointwise = os.path.join(rootDir,options.basegroup,options.pointwise) - if options.average is None: - label = 'Point' - - dataset = os.path.join(group_pointwise,options.quaternion) - try: - quats = np.reshape(inFile[dataset][...],(np.product(grid),4)) - rot = [damask.Rotation.fromQuaternion(q,True,P=+1) for q in quats] - except KeyError: - errors.append('Pointwise orientation (quaternion) data ({}) not readable'.format(dataset)) - - dataset = os.path.join(group_pointwise,options.phase) - try: - phase = np.reshape(inFile[dataset][...],(np.product(grid))) - except KeyError: - errors.append('Pointwise phase data ({}) not readable'.format(dataset)) - - microstructure = np.arange(1,np.product(grid)+1,dtype=int).reshape(grid,order='F') - - - else: - label = 'Grain' - - dataset = os.path.join(group_pointwise,options.microstructure) - try: - microstructure = np.transpose(inFile[dataset][...].reshape(grid[::-1]),(2,1,0)) # convert from C ordering - except KeyError: - errors.append('Link between pointwise and grain average data ({}) not readable'.format(dataset)) - - group_average = os.path.join(rootDir,options.basegroup,options.average) - - dataset = os.path.join(group_average,options.quaternion) - try: - rot = [damask.Rotation.fromQuaternion(q,True,P=+1) for q in inFile[dataset][...][1:]] # skip first entry (unindexed) - except KeyError: - errors.append('Average orientation data ({}) not readable'.format(dataset)) - - dataset = os.path.join(group_average,options.phase) - try: - phase = [i[0] for i in inFile[dataset][...]][1:] # skip first entry (unindexed) - except KeyError: - errors.append('Average phase data ({}) not readable'.format(dataset)) - - if errors != []: - damask.util.croak(errors) - continue - - config_header = [''] - for i in range(np.nanmax(microstructure)): - config_header += ['[{}{}]'.format(label,i+1), - '(gauss)\tphi1 {:.2f}\tPhi {:.2f}\tphi2 {:.2f}'.format(*rot[i].asEulers(degrees = True)), - ] - config_header += [''] - for i in range(np.nanmax(microstructure)): - config_header += ['[{}{}]'.format(label,i+1), - '(constituent)\tphase {}\ttexture {}\tfraction 1.0'.format(phase[i],i+1), - ] - - header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ - + config_header - geom = damask.Geom(microstructure,size,origin, - homogenization=options.homogenization,comments=header) - damask.util.croak(geom) - - geom.to_file(os.path.splitext(name)[0]+'.geom',pack=False) + geom.save_ASCII(os.path.splitext(name)[0]+'.geom') diff --git a/processing/pre/geom_fromMinimalSurface.py b/processing/pre/geom_fromMinimalSurface.py index bb6859b54..eb0cdcc3b 100755 --- a/processing/pre/geom_fromMinimalSurface.py +++ b/processing/pre/geom_fromMinimalSurface.py @@ -4,8 +4,6 @@ import os import sys from optparse import OptionParser -import numpy as np - import damask @@ -13,14 +11,7 @@ scriptName = os.path.splitext(os.path.basename(__file__))[0] scriptID = ' '.join([scriptName,damask.version]) -minimal_surfaces = ['primitive','gyroid','diamond'] - -surface = { - 'primitive': lambda x,y,z: np.cos(x)+np.cos(y)+np.cos(z), - 'gyroid': lambda x,y,z: np.sin(x)*np.cos(y)+np.sin(y)*np.cos(z)+np.cos(x)*np.sin(z), - 'diamond': lambda x,y,z: np.cos(x-y)*np.cos(z)+np.sin(x+y)*np.sin(z), - } - +minimal_surfaces = list(damask.Geom._minimal_surface.keys()) # -------------------------------------------------------------------- # MAIN @@ -52,10 +43,6 @@ parser.add_option('-p', '--periods', dest = 'periods', type = 'int', metavar = 'int', help = 'number of repetitions of unit cell [%default]') -parser.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') parser.add_option('--m', dest = 'microstructure', type = 'int', nargs = 2, metavar = 'int int', @@ -66,7 +53,6 @@ parser.set_defaults(type = minimal_surfaces[0], periods = 1, grid = (16,16,16), size = (1.0,1.0,1.0), - homogenization = 1, microstructure = (1,2), ) @@ -76,17 +62,8 @@ parser.set_defaults(type = minimal_surfaces[0], name = None if filename == [] else filename[0] damask.util.report(scriptName,name) -x,y,z = np.meshgrid(options.periods*2.0*np.pi*(np.arange(options.grid[0])+0.5)/options.grid[0], - options.periods*2.0*np.pi*(np.arange(options.grid[1])+0.5)/options.grid[1], - options.periods*2.0*np.pi*(np.arange(options.grid[2])+0.5)/options.grid[2], - indexing='xy',sparse=True) - -microstructure = np.where(options.threshold < surface[options.type](x,y,z), - options.microstructure[1],options.microstructure[0]) - -geom=damask.Geom(microstructure,options.size, - homogenization=options.homogenization, - comments=[scriptID + ' ' + ' '.join(sys.argv[1:])]) +geom=damask.Geom.from_minimal_surface(options.grid,options.size,options.type,options.threshold, + options.periods,options.microstructure) damask.util.croak(geom) -geom.to_file(sys.stdout if name is None else name,pack=False) +geom.save_ASCII(sys.stdout if name is None else name) diff --git a/processing/pre/geom_fromOsteonGeometry.py b/processing/pre/geom_fromOsteonGeometry.py index 627d92728..0b6d48001 100755 --- a/processing/pre/geom_fromOsteonGeometry.py +++ b/processing/pre/geom_fromOsteonGeometry.py @@ -57,10 +57,6 @@ parser.add_option('-w', '--omega', dest='omega', type='float', metavar = 'float', help='rotation angle around normal of osteon [%default]') -parser.add_option( '--homogenization', - dest='homogenization', - type='int', metavar = 'int', - help='homogenization index to be used [%default]') parser.set_defaults(canal = 25e-6, osteon = 100e-6, @@ -70,7 +66,7 @@ parser.set_defaults(canal = 25e-6, amplitude = 60, size = (300e-6,300e-6), grid = (512,512), - homogenization = 1) + ) (options,filename) = parser.parse_args() @@ -139,7 +135,7 @@ header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ + config_header geom = damask.Geom(microstructure.reshape(grid), size,-size/2, - homogenization=options.homogenization,comments=header) + comments=header) damask.util.croak(geom) -geom.to_file(sys.stdout if name is None else name,pack=False) +geom.save_ASCII(sys.stdout if name is None else name) diff --git a/processing/pre/geom_fromTable.py b/processing/pre/geom_fromTable.py deleted file mode 100755 index f6c9ba38e..000000000 --- a/processing/pre/geom_fromTable.py +++ /dev/null @@ -1,108 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [ASCIItable(s)]', description = """ -Converts ASCII table. Input can be microstructure or orientation (as quaternion). For the latter, -phase information can be given additionally. - -""", version = scriptID) - -parser.add_option('--coordinates', - dest = 'pos', - type = 'string', metavar = 'string', - help = 'coordinates label (%default)') -parser.add_option('--phase', - dest = 'phase', - type = 'string', metavar = 'string', - help = 'phase label') -parser.add_option('--microstructure', - dest = 'microstructure', - type = 'string', metavar = 'string', - help = 'microstructure label') -parser.add_option('-q', '--quaternion', - dest = 'quaternion', - type = 'string', metavar='string', - help = 'quaternion label') -parser.add_option('--axes', - dest = 'axes', - type = 'string', nargs = 3, metavar = ' '.join(['string']*3), - help = 'orientation coordinate frame in terms of position coordinate frame [+x +y +z]') -parser.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') - - -parser.set_defaults(homogenization = 1, - pos = 'pos', - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -if np.sum([options.quaternion is not None, - options.microstructure is not None]) != 1: - parser.error('need either microstructure or quaternion (and optionally phase) as input.') -if options.microstructure is not None and options.phase is not None: - parser.error('need either microstructure or phase (and mandatory quaternion) as input.') -if options.axes is not None and not set(options.axes).issubset(set(['x','+x','-x','y','+y','-y','z','+z','-z'])): - parser.error('invalid axes {} {} {}.'.format(*options.axes)) - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - table.sort_by(['{}_{}'.format(i,options.pos) for i in range(3,0,-1)]) # x fast, y slow - grid,size,origin = damask.grid_filters.cell_coord0_gridSizeOrigin(table.get(options.pos)) - - config_header = table.comments - - if options.microstructure: - microstructure = table.get(options.microstructure).reshape(grid,order='F') - - elif options.quaternion: - q = table.get(options.quaternion) - phase = table.get(options.phase).astype(int) if options.phase else \ - np.ones((table.data.shape[0],1),dtype=int) - - unique,unique_inverse = np.unique(np.hstack((q,phase)),return_inverse=True,axis=0) - microstructure = unique_inverse.reshape(grid,order='F') + 1 - - config_header = [''] - for i,data in enumerate(unique): - ori = damask.Rotation(data[0:4]) - config_header += ['[Grain{}]'.format(i+1), - '(gauss)\tphi1 {:.2f}\tPhi {:.2f}\tphi2 {:.2f}'.format(*ori.asEulers(degrees = True)), - ] - if options.axes is not None: config_header += ['axes\t{} {} {}'.format(*options.axes)] - - config_header += [''] - for i,data in enumerate(unique): - config_header += ['[Grain{}]'.format(i+1), - '(constituent)\tphase {}\ttexture {}\tfraction 1.0'.format(int(data[4]),i+1), - ] - - header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ - + config_header - geom = damask.Geom(microstructure,size,origin, - homogenization=options.homogenization,comments=header) - damask.util.croak(geom) - - geom.to_file(sys.stdout if name is None else os.path.splitext(name)[0]+'.geom',pack=False) diff --git a/processing/pre/geom_fromVoronoiTessellation.py b/processing/pre/geom_fromVoronoiTessellation.py deleted file mode 100755 index e6755c28e..000000000 --- a/processing/pre/geom_fromVoronoiTessellation.py +++ /dev/null @@ -1,231 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -import multiprocessing -from io import StringIO -from functools import partial -from optparse import OptionParser,OptionGroup - -import numpy as np -from scipy import spatial - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -def findClosestSeed(seeds, weights, point): - return np.argmin(np.sum((np.broadcast_to(point,(len(seeds),3))-seeds)**2,axis=1) - weights) - - -def Laguerre_tessellation(grid, size, seeds, weights, origin = np.zeros(3), periodic = True, cpus = 2): - - if periodic: - weights_p = np.tile(weights.squeeze(),27) # Laguerre weights (1,2,3,1,2,3,...,1,2,3) - seeds_p = np.vstack((seeds -np.array([size[0],0.,0.]),seeds, seeds +np.array([size[0],0.,0.]))) - seeds_p = np.vstack((seeds_p-np.array([0.,size[1],0.]),seeds_p,seeds_p+np.array([0.,size[1],0.]))) - seeds_p = np.vstack((seeds_p-np.array([0.,0.,size[2]]),seeds_p,seeds_p+np.array([0.,0.,size[2]]))) - coords = damask.grid_filters.cell_coord0(grid*3,size*3,-origin-size).reshape(-1,3) - else: - weights_p = weights.squeeze() - seeds_p = seeds - coords = damask.grid_filters.cell_coord0(grid,size,-origin).reshape(-1,3) - - if cpus > 1: - pool = multiprocessing.Pool(processes = cpus) - result = pool.map_async(partial(findClosestSeed,seeds_p,weights_p), [coord for coord in coords]) - pool.close() - pool.join() - closest_seed = np.array(result.get()).reshape(-1,3) - else: - closest_seed= np.array([findClosestSeed(seeds_p,weights_p,coord) for coord in coords]) - - if periodic: - closest_seed = closest_seed.reshape(grid*3) - return closest_seed[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] - else: - return closest_seed - - -def Voronoi_tessellation(grid, size, seeds, origin = np.zeros(3), periodic = True): - - coords = damask.grid_filters.cell_coord0(grid,size,-origin).reshape(-1,3) - KDTree = spatial.cKDTree(seeds,boxsize=size) if periodic else spatial.cKDTree(seeds) - devNull,closest_seed = KDTree.query(coords) - - return closest_seed - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog option(s) [seedfile(s)]', description = """ -Generate geometry description and material configuration by tessellation of given seeds file. - -""", version = scriptID) - - -group = OptionGroup(parser, "Tessellation","") - -group.add_option('-l', - '--laguerre', - dest = 'laguerre', - action = 'store_true', - help = 'use Laguerre (weighted Voronoi) tessellation') -group.add_option('--cpus', - dest = 'cpus', - type = 'int', metavar = 'int', - help = 'number of parallel processes to use for Laguerre tessellation [%default]') -group.add_option('--nonperiodic', - dest = 'periodic', - action = 'store_false', - help = 'nonperiodic tessellation') - -parser.add_option_group(group) - -group = OptionGroup(parser, "Geometry","") - -group.add_option('-g', - '--grid', - dest = 'grid', - type = 'int', nargs = 3, metavar = ' '.join(['int']*3), - help = 'a,b,c grid of hexahedral box') -group.add_option('-s', - '--size', - dest = 'size', - type = 'float', nargs = 3, metavar=' '.join(['float']*3), - help = 'x,y,z size of hexahedral box [1.0 1.0 1.0]') -group.add_option('-o', - '--origin', - dest = 'origin', - type = 'float', nargs = 3, metavar=' '.join(['float']*3), - help = 'origin of grid [0.0 0.0 0.0]') - -parser.add_option_group(group) - -group = OptionGroup(parser, "Seeds","") - -group.add_option('-p', - '--pos', '--seedposition', - dest = 'pos', - type = 'string', metavar = 'string', - help = 'label of coordinates [%default]') -group.add_option('-w', - '--weight', - dest = 'weight', - type = 'string', metavar = 'string', - help = 'label of weights [%default]') -group.add_option('-m', - '--microstructure', - dest = 'microstructure', - type = 'string', metavar = 'string', - help = 'label of microstructures [%default]') -group.add_option('-e', - '--eulers', - dest = 'eulers', - type = 'string', metavar = 'string', - help = 'label of Euler angles [%default]') -group.add_option('--axes', - dest = 'axes', - type = 'string', nargs = 3, metavar = ' '.join(['string']*3), - help = 'orientation coordinate frame in terms of position coordinate frame') - -parser.add_option_group(group) - -group = OptionGroup(parser, "Configuration","") - -group.add_option('--without-config', - dest = 'config', - action = 'store_false', - help = 'omit material configuration header') -group.add_option('--homogenization', - dest = 'homogenization', - type = 'int', metavar = 'int', - help = 'homogenization index to be used [%default]') -group.add_option('--phase', - dest = 'phase', - type = 'int', metavar = 'int', - help = 'phase index to be used [%default]') - -parser.add_option_group(group) - -parser.set_defaults(pos = 'pos', - weight = 'weight', - microstructure = 'microstructure', - eulers = 'euler', - homogenization = 1, - phase = 1, - cpus = 2, - laguerre = False, - periodic = True, - config = True, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - size = np.ones(3) - origin = np.zeros(3) - for line in table.comments: - items = line.lower().strip().split() - key = items[0] if items else '' - if key == 'grid': - grid = np.array([ int(dict(zip(items[1::2],items[2::2]))[i]) for i in ['a','b','c']]) - elif key == 'size': - size = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) - elif key == 'origin': - origin = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) - if options.grid: grid = np.array(options.grid) - if options.size: size = np.array(options.size) - if options.origin: origin = np.array(options.origin) - - seeds = table.get(options.pos) - - grains = table.get(options.microstructure) if options.microstructure in table.labels else np.arange(len(seeds))+1 - grainIDs = np.unique(grains).astype('i') - - if options.eulers in table.labels: - eulers = table.get(options.eulers) - - if options.laguerre: - indices = grains[Laguerre_tessellation(grid,size,seeds,table.get(options.weight),origin, - options.periodic,options.cpus)] - else: - indices = grains[Voronoi_tessellation (grid,size,seeds,origin,options.periodic)] - - config_header = [] - if options.config: - - if options.eulers in table.labels: - config_header += [''] - for ID in grainIDs: - eulerID = np.nonzero(grains == ID)[0][0] # find first occurrence of this grain id - config_header += ['[Grain{}]'.format(ID), - '(gauss)\tphi1 {:.2f}\tPhi {:.2f}\tphi2 {:.2f}'.format(*eulers[eulerID]) - ] - if options.axes: config_header += ['axes\t{} {} {}'.format(*options.axes)] - - config_header += [''] - for ID in grainIDs: - config_header += ['[Grain{}]'.format(ID), - '(constituent)\tphase {}\ttexture {}\tfraction 1.0'.format(options.phase,ID) - ] - - config_header += [''] - - header = [scriptID + ' ' + ' '.join(sys.argv[1:])]\ - + config_header - geom = damask.Geom(indices.reshape(grid),size,origin, - homogenization=options.homogenization,comments=header) - damask.util.croak(geom) - - geom.to_file(sys.stdout if name is None else os.path.splitext(name)[0]+'.geom',pack=False) diff --git a/processing/pre/geom_grainGrowth.py b/processing/pre/geom_grainGrowth.py index bdf8d8efe..249cb07f5 100755 --- a/processing/pre/geom_grainGrowth.py +++ b/processing/pre/geom_grainGrowth.py @@ -41,7 +41,7 @@ parser.add_option('-N', '--iterations', help = 'curvature flow iterations [%default]') parser.add_option('-i', '--immutable', action = 'extend', dest = 'immutable', metavar = '', - help = 'list of immutable microstructure indices') + help = 'list of immutable material indices') parser.add_option('--ndimage', dest = 'ndimage', action='store_true', help = 'use ndimage.gaussian_filter in lieu of explicit FFT') @@ -62,17 +62,17 @@ if filenames == []: filenames = [None] for name in filenames: damask.util.report(scriptName,name) - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) + geom = damask.Geom.load_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - grid_original = geom.get_grid() + grid_original = geom.grid damask.util.croak(geom) - microstructure = np.tile(geom.microstructure,np.where(grid_original == 1, 2,1)) # make one copy along dimensions with grid == 1 - grid = np.array(microstructure.shape) + material = np.tile(geom.material,np.where(grid_original == 1, 2,1)) # make one copy along dimensions with grid == 1 + grid = np.array(material.shape) # --- initialize support data --------------------------------------------------------------------- -# store a copy the initial microstructure to find locations of immutable indices - microstructure_original = np.copy(microstructure) +# store a copy of the initial material indices to find locations of immutable indices + material_original = np.copy(material) if not options.ndimage: X,Y,Z = np.mgrid[0:grid[0],0:grid[1],0:grid[2]] @@ -88,14 +88,14 @@ for name in filenames: for smoothIter in range(options.N): - interfaceEnergy = np.zeros(microstructure.shape,dtype=np.float32) + interfaceEnergy = np.zeros(material.shape,dtype=np.float32) for i in (-1,0,1): for j in (-1,0,1): for k in (-1,0,1): # assign interfacial energy to all voxels that have a differing neighbor (in Moore neighborhood) interfaceEnergy = np.maximum(interfaceEnergy, - getInterfaceEnergy(microstructure,np.roll(np.roll(np.roll( - microstructure,i,axis=0), j,axis=1), k,axis=2))) + getInterfaceEnergy(material,np.roll(np.roll(np.roll( + material,i,axis=0), j,axis=1), k,axis=2))) # periodically extend interfacial energy array by half a grid size in positive and negative directions periodic_interfaceEnergy = np.tile(interfaceEnergy,(3,3,3))[grid[0]//2:-grid[0]//2, @@ -129,13 +129,13 @@ for name in filenames: iterations = int(round(options.d*2.))-1),# fat boundary periodic_bulkEnergy[grid[0]//2:-grid[0]//2, # retain filled energy on fat boundary... grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2], # ...and zero everywhere else + grid[2]//2:-grid[2]//2], # ...and zero everywhere else 0.)).astype(np.complex64) * gauss).astype(np.float32) periodic_diffusedEnergy = np.tile(diffusedEnergy,(3,3,3))[grid[0]//2:-grid[0]//2, grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # periodically extend the smoothed bulk energy + grid[2]//2:-grid[2]//2] # periodically extend the smoothed bulk energy # transform voxels close to interface region @@ -143,33 +143,35 @@ for name in filenames: return_distances = False, return_indices = True) # want index of closest bulk grain - periodic_microstructure = np.tile(microstructure,(3,3,3))[grid[0]//2:-grid[0]//2, - grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # periodically extend the microstructure + periodic_material = np.tile(material,(3,3,3))[grid[0]//2:-grid[0]//2, + grid[1]//2:-grid[1]//2, + grid[2]//2:-grid[2]//2] # periodically extend the geometry - microstructure = periodic_microstructure[index[0], - index[1], - index[2]].reshape(2*grid)[grid[0]//2:-grid[0]//2, - grid[1]//2:-grid[1]//2, - grid[2]//2:-grid[2]//2] # extent grains into interface region + material = periodic_material[index[0], + index[1], + index[2]].reshape(2*grid)[grid[0]//2:-grid[0]//2, + grid[1]//2:-grid[1]//2, + grid[2]//2:-grid[2]//2] # extent grains into interface region - # replace immutable microstructures with closest mutable ones - index = ndimage.morphology.distance_transform_edt(np.in1d(microstructure,options.immutable).reshape(grid), + # replace immutable materials with closest mutable ones + index = ndimage.morphology.distance_transform_edt(np.in1d(material,options.immutable).reshape(grid), return_distances = False, return_indices = True) - microstructure = microstructure[index[0], - index[1], - index[2]] + material = material[index[0], + index[1], + index[2]] - immutable = np.zeros(microstructure.shape, dtype=np.bool) - # find locations where immutable microstructures have been in original structure + immutable = np.zeros(material.shape, dtype=np.bool) + # find locations where immutable materials have been in original structure for micro in options.immutable: - immutable += microstructure_original == micro + immutable += material_original == micro - # undo any changes involving immutable microstructures - microstructure = np.where(immutable, microstructure_original,microstructure) + # undo any changes involving immutable materials + material = np.where(immutable, material_original,material) - damask.util.croak(geom.update(microstructure[0:grid_original[0],0:grid_original[1],0:grid_original[2]])) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - - geom.to_file(sys.stdout if name is None else name,pack=False) + damask.Geom(material = material[0:grid_original[0],0:grid_original[1],0:grid_original[2]], + size = geom.size, + origin = geom.origin, + comments = geom.comments + [scriptID + ' ' + ' '.join(sys.argv[1:])], + )\ + .save_ASCII(sys.stdout if name is None else name) diff --git a/processing/pre/geom_renumber.py b/processing/pre/geom_renumber.py deleted file mode 100755 index 6e51062a5..000000000 --- a/processing/pre/geom_renumber.py +++ /dev/null @@ -1,35 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog [geomfile(s)]', description = """ -Renumber sorted microstructure indices to 1,...,N. - -""", version=scriptID) - -(options, filenames) = parser.parse_args() - - -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - damask.util.croak(geom.renumber()) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - geom.to_file(sys.stdout if name is None else name,pack=False) diff --git a/processing/pre/geom_rotate.py b/processing/pre/geom_rotate.py deleted file mode 100755 index 977e00b65..000000000 --- a/processing/pre/geom_rotate.py +++ /dev/null @@ -1,98 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -from scipy import ndimage -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [geomfile(s)]', description = """ -Rotates original microstructure and embeddeds it into buffer material. - -""", version=scriptID) - -parser.add_option('-r', '--rotation', - dest='rotation', - type = 'float', nargs = 4, metavar = ' '.join(['float']*4), - help = 'rotation given as axis and angle') -parser.add_option('-e', '--eulers', - dest = 'eulers', - type = 'float', nargs = 3, metavar = ' '.join(['float']*3), - help = 'rotation given as Euler angles') -parser.add_option('-d', '--degrees', - dest = 'degrees', - action = 'store_true', - help = 'Euler angles/axis angle are given in degrees') -parser.add_option('-m', '--matrix', - dest = 'matrix', - type = 'float', nargs = 9, metavar = ' '.join(['float']*9), - help = 'rotation given as matrix') -parser.add_option('-q', '--quaternion', - dest = 'quaternion', - type = 'float', nargs = 4, metavar = ' '.join(['float']*4), - help = 'rotation given as quaternion') -parser.add_option('-f', '--fill', - dest = 'fill', - type = 'float', metavar = 'int', - help = 'background microstructure index, defaults to max microstructure index + 1') - -parser.set_defaults(degrees = False) - -(options, filenames) = parser.parse_args() - -if [options.rotation,options.eulers,options.matrix,options.quaternion].count(None) < 3: - parser.error('more than one rotation specified.') -if [options.rotation,options.eulers,options.matrix,options.quaternion].count(None) > 3: - parser.error('no rotation specified.') - -if options.quaternion is not None: - rot = damask.Rotation.fromQuaternion(np.array(options.quaternion)) # we might need P=+1 here, too... -if options.rotation is not None: - rot = damask.Rotation.fromAxisAngle(np.array(options.rotation),degrees=options.degrees,normalise=True,P=+1) -if options.matrix is not None: - rot = damask.Rotation.fromMatrix(np.array(options.Matrix)) -if options.eulers is not None: - rot = damask.Rotation.fromEulers(np.array(options.eulers),degrees=options.degrees) - -eulers = rot.asEulers(degrees=True) - - -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - size = geom.get_size() - grid = geom.get_grid() - origin = geom.get_origin() - microstructure = geom.get_microstructure() - fill = np.nanmax(microstructure)+1 if options.fill is None else options.fill - dtype = float if np.isnan(fill) or int(fill) != fill or microstructure.dtype==np.float else int - - # These rotations are always applied in the reference coordinate system, i.e. (z,x,z) not (z,x',z'') - # this seems to be ok, see https://www.cs.utexas.edu/~theshark/courses/cs354/lectures/cs354-14.pdf - microstructure = ndimage.rotate(microstructure,eulers[2],(0,1),order=0, - prefilter=False,output=dtype,cval=fill) # rotation around z - microstructure = ndimage.rotate(microstructure,eulers[1],(1,2),order=0, - prefilter=False,output=dtype,cval=fill) # rotation around x - microstructure = ndimage.rotate(microstructure,eulers[0],(0,1),order=0, - prefilter=False,output=dtype,cval=fill) # rotation around z - - damask.util.croak(geom.update(microstructure,origin=origin-(np.asarray(microstructure.shape)-grid)/2*size/grid,rescale=True)) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - - geom.to_file(sys.stdout if name is None else name,pack=False) diff --git a/processing/pre/geom_translate.py b/processing/pre/geom_translate.py deleted file mode 100755 index 1d08c23dc..000000000 --- a/processing/pre/geom_translate.py +++ /dev/null @@ -1,61 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser -from io import StringIO - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [geomfile(s)]', description = """ -Translate microstructure indices (shift or substitute) and/or geometry origin. - -""", version=scriptID) - -parser.add_option('-o', '--origin', - dest = 'origin', - type = 'float', nargs = 3, metavar = ' '.join(['float']*3), - help = 'offset from old to new origin of grid') -parser.add_option('-m', '--microstructure', - dest = 'microstructure', - type = 'int', metavar = 'int', - help = 'offset from old to new microstructure indices (after substitution)') -parser.add_option('-s', '--substitute', - dest = 'substitute', - action = 'extend', metavar = '', - help = 'substitutions of microstructure indices from,to,from,to,...') - -parser.set_defaults(origin = (0.0,0.0,0.0), - microstructure = 0, - substitute = [] - ) - -(options, filenames) = parser.parse_args() - -sub = list(map(int,options.substitute)) - - -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - - substituted = geom.get_microstructure() - for old,new in zip(sub[0::2],sub[1::2]): substituted[geom.microstructure==old] = new # substitute microstructure indices - substituted += options.microstructure # constant shift - - damask.util.croak(geom.update(substituted,origin=geom.get_origin()+options.origin)) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - - geom.to_file(sys.stdout if name is None else name,pack=False) diff --git a/processing/pre/geom_vicinityOffset.py b/processing/pre/geom_vicinityOffset.py deleted file mode 100755 index e30779d31..000000000 --- a/processing/pre/geom_vicinityOffset.py +++ /dev/null @@ -1,85 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -from scipy import ndimage -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -def taintedNeighborhood(stencil,trigger=[],size=1): - - me = stencil[stencil.shape[0]//2] - if len(trigger) == 0: - return np.any(stencil != me) - if me in trigger: - trigger = set(trigger) - trigger.remove(me) - trigger = list(trigger) - return np.any(np.in1d(stencil,np.array(trigger))) - - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [geomfile(s)]', description = """ -Offset microstructure index for points which see a microstructure different from themselves -(or listed as triggers) within a given (cubic) vicinity, i.e. within the region close to a grain/phase boundary. - -""", version = scriptID) - -parser.add_option('-v', '--vicinity', - dest = 'vicinity', - type = 'int', metavar = 'int', - help = 'voxel distance checked for presence of other microstructure [%default]') -parser.add_option('-o', '--offset', - dest='offset', - type = 'int', metavar = 'int', - help='offset (positive or negative) to tag microstructure indices, defaults to max microstructure index') -parser.add_option('-t', '--trigger', - dest = 'trigger', - action = 'extend', metavar = '', - help = 'list of microstructure indices triggering a change') -parser.add_option('-n', '--nonperiodic', - dest = 'mode', - action = 'store_const', const = 'nearest', - help = 'assume geometry to be non-periodic') - -parser.set_defaults(vicinity = 1, - trigger = [], - mode = 'wrap', - ) - -(options, filenames) = parser.parse_args() - -options.trigger = np.array(options.trigger, dtype=int) - - -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - - offset = np.nanmax(geom.microstructure) if options.offset is None else options.offset - - damask.util.croak(geom.update(np.where(ndimage.filters.generic_filter( - geom.microstructure, - taintedNeighborhood, - size=1+2*options.vicinity,mode=options.mode, - extra_arguments=(), - extra_keywords={"trigger":options.trigger,"size":1+2*options.vicinity}), - geom.microstructure + offset,geom.microstructure))) - geom.add_comments(scriptID + ' ' + ' '.join(sys.argv[1:])) - - geom.to_file(sys.stdout if name is None else name,pack=False) diff --git a/processing/pre/hybridIA_linODFsampling.py b/processing/pre/hybridIA_linODFsampling.py deleted file mode 100755 index 6f5827f8b..000000000 --- a/processing/pre/hybridIA_linODFsampling.py +++ /dev/null @@ -1,349 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -import math -import random -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# --- helper functions --- -def integerFactorization(i): - - j = int(math.floor(math.sqrt(float(i)))) - while j>1 and int(i)%j != 0: - j -= 1 - return j - -def binAsBins(bin,intervals): - """Explode compound bin into 3D bins list.""" - bins = [0]*3 - bins[0] = (bin//(intervals[1] * intervals[2])) % intervals[0] - bins[1] = (bin//intervals[2]) % intervals[1] - bins[2] = bin % intervals[2] - return bins - -def binsAsBin(bins,intervals): - """Implode 3D bins into compound bin.""" - return (bins[0]*intervals[1] + bins[1])*intervals[2] + bins[2] - -def EulersAsBins(Eulers,intervals,deltas,center): - """Return list of Eulers translated into 3D bins list.""" - return [int((euler+(0.5-center)*delta)//delta)%interval \ - for euler,delta,interval in zip(Eulers,deltas,intervals) \ - ] - -def binAsEulers(bin,intervals,deltas,center): - """Compound bin number translated into list of Eulers.""" - Eulers = [0.0]*3 - Eulers[2] = (bin%intervals[2] + center)*deltas[2] - Eulers[1] = (bin//intervals[2]%intervals[1] + center)*deltas[1] - Eulers[0] = (bin//(intervals[2]*intervals[1]) + center)*deltas[0] - return Eulers - -def directInvRepetitions(probability,scale): - """Calculate number of samples drawn by direct inversion.""" - nDirectInv = 0 - for bin in range(len(probability)): # loop over bins - nDirectInv += int(round(probability[bin]*scale)) # calc repetition - return nDirectInv - - -# ---------------------- sampling methods ----------------------------------------------------------------------- - -# ----- efficient algorithm --------- -def directInversion (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - nOptSamples = max(ODF['nNonZero'],nSamples) # random subsampling if too little samples requested - - nInvSamples = 0 - repetition = [None]*ODF['nBins'] - - scaleLower = 0.0 - nInvSamplesLower = 0 - scaleUpper = float(nOptSamples) - incFactor = 1.0 - nIter = 0 - nInvSamplesUpper = directInvRepetitions(ODF['dV_V'],scaleUpper) - while (\ - (scaleUpper-scaleLower > scaleUpper*1e-15 or nInvSamplesUpper < nOptSamples) and \ - nInvSamplesUpper != nOptSamples \ - ): # closer match required? - if nInvSamplesUpper < nOptSamples: - scaleLower,scaleUpper = scaleUpper,scaleUpper+incFactor*(scaleUpper-scaleLower)/2.0 - incFactor *= 2.0 - nInvSamplesLower,nInvSamplesUpper = nInvSamplesUpper,directInvRepetitions(ODF['dV_V'],scaleUpper) - else: - scaleUpper = (scaleLower+scaleUpper)/2.0 - incFactor = 1.0 - nInvSamplesUpper = directInvRepetitions(ODF['dV_V'],scaleUpper) - nIter += 1 - damask.util.croak('%i:(%12.11f,%12.11f) %i <= %i <= %i'%(nIter,scaleLower,scaleUpper, - nInvSamplesLower,nOptSamples,nInvSamplesUpper)) - nInvSamples = nInvSamplesUpper - scale = scaleUpper - damask.util.croak('created set of %i samples (%12.11f) with scaling %12.11f delivering %i'%(nInvSamples, - float(nInvSamples)/nOptSamples-1.0, - scale,nSamples)) - repetition = [None]*ODF['nBins'] # preallocate and clear - - for bin in range(ODF['nBins']): # loop over bins - repetition[bin] = int(round(ODF['dV_V'][bin]*scale)) # calc repetition - -# build set - set = [None]*nInvSamples - i = 0 - for bin in range(ODF['nBins']): - set[i:i+repetition[bin]] = [bin]*repetition[bin] # fill set with bin, i.e. orientation - i += repetition[bin] # advance set counter - - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - for j in range(nSamples): - if (j == nInvSamples-1): ex = j - else: ex = int(round(random.uniform(j+0.5,nInvSamples-0.5))) - bin = set[ex] - Eulers = binAsEulers(bin,ODF['interval'],ODF['delta'],ODF['center']) - orientations[j] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - set[ex] = set[j] # exchange orientations - - return orientations, reconstructedODF - - -# ----- trial and error algorithms --------- - -def MonteCarloEulers (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - countMC = 0 - maxdV_V = max(ODF['dV_V']) - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - - for j in range(nSamples): - MC = maxdV_V*2.0 - bin = 0 - while MC > ODF['dV_V'][bin]: - countMC += 1 - MC = maxdV_V*random.random() - Eulers = [limit*random.random() for limit in ODF['limit']] - bins = EulersAsBins(Eulers,ODF['interval'],ODF['delta'],ODF['center']) - bin = binsAsBin(bins,ODF['interval']) - orientations[j] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - - return orientations, reconstructedODF, countMC - - -def MonteCarloBins (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - countMC = 0 - maxdV_V = max(ODF['dV_V']) - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - - for j in range(nSamples): - MC = maxdV_V*2.0 - bin = 0 - while MC > ODF['dV_V'][bin]: - countMC += 1 - MC = maxdV_V*random.random() - bin = int(ODF['nBins'] * random.random()) - Eulers = binAsEulers(bin,ODF['interval'],ODF['delta'],ODF['center']) - orientations[j] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - - return orientations, reconstructedODF - - -def TothVanHoutteSTAT (ODF,nSamples): - """ODF contains 'dV_V' (normalized to 1), 'center', 'intervals', 'limits' (in radians).""" - orientations = np.zeros((nSamples,3),'f') - reconstructedODF = np.zeros(ODF['nBins'],'f') - unitInc = 1.0/nSamples - - selectors = [random.random() for i in range(nSamples)] - selectors.sort() - indexSelector = 0 - - cumdV_V = 0.0 - countSamples = 0 - - for bin in range(ODF['nBins']) : - cumdV_V += ODF['dV_V'][bin] - while indexSelector < nSamples and selectors[indexSelector] < cumdV_V: - Eulers = binAsEulers(bin,ODF['interval'],ODF['delta'],ODF['center']) - orientations[countSamples] = np.degrees(Eulers) - reconstructedODF[bin] += unitInc - countSamples += 1 - indexSelector += 1 - - damask.util.croak('created set of %i when asked to deliver %i'%(countSamples,nSamples)) - - return orientations, reconstructedODF - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description =""" -Transform linear binned ODF data into given number of orientations. -IA: integral approximation, STAT: Van Houtte, MC: Monte Carlo - -""", version = scriptID) - -algorithms = ['IA', 'STAT','MC'] -parser.add_option('-n', '--nsamples', - dest = 'number', - type = 'int', metavar = 'int', - help = 'number of orientations to be generated [%default]') -parser.add_option('-a','--algorithm', - dest = 'algorithm', - choices = algorithms, metavar = 'string', - help = 'sampling algorithm {%s} [IA]'%(', '.join(algorithms))) -parser.add_option('-p','--phase', - dest = 'phase', - type = 'int', metavar = 'int', - help = 'phase index to be used [%default]') -parser.add_option('-r', '--rnd', - dest = 'randomSeed', - type = 'int', metavar = 'int', \ - help = 'seed of random number generator [%default]') -parser.set_defaults(randomSeed = None, - number = 500, - algorithm = 'IA', - phase = 1, - ang = True, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - table = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - - randomSeed = int(os.urandom(4).hex(),16) if options.randomSeed is None else options.randomSeed # random seed per file - random.seed(randomSeed) - -# --------------- figure out limits (left/right), delta, and interval ----------------------------- - ODF = {} - eulers = table.get('euler') - limits = np.array([np.min(eulers,axis=0),np.max(eulers,axis=0)]) # min/max euler angles in degrees - ODF['limit'] = np.radians(limits[1,:]) # right hand limits in radians - ODF['center'] = 0.0 if all(limits[0,:]<1e-8) else 0.5 # vertex or cell centered - - ODF['interval'] = np.array(list(map(len,[np.unique(eulers[:,i]) for i in range(3)])),'i') # steps are number of distict values - ODF['nBins'] = ODF['interval'].prod() - ODF['delta'] = np.radians(np.array(limits[1,0:3]-limits[0,0:3])/(ODF['interval']-1)) # step size - - if eulers.shape[0] != ODF['nBins']: - damask.util.croak('expecting %i values but got %i'%(ODF['nBins'],eulers.shape[0])) - continue - -# ----- build binnedODF array and normalize ------------------------------------------------------ - sumdV_V = 0.0 - ODF['dV_V'] = [None]*ODF['nBins'] - ODF['nNonZero'] = 0 - dg = ODF['delta'][0]*2.0*math.sin(ODF['delta'][1]/2.0)*ODF['delta'][2] - intensity = table.get('intensity') - for b in range(ODF['nBins']): - ODF['dV_V'][b] = \ - max(0.0,intensity[b,0]) * dg * \ - math.sin(((b//ODF['interval'][2])%ODF['interval'][1]+ODF['center'])*ODF['delta'][1]) - if ODF['dV_V'][b] > 0.0: - sumdV_V += ODF['dV_V'][b] - ODF['nNonZero'] += 1 - - for b in range(ODF['nBins']): - ODF['dV_V'][b] /= sumdV_V # normalize dV/V - - damask.util.croak(['non-zero fraction: %12.11f (%i/%i)'%(float(ODF['nNonZero'])/ODF['nBins'], - ODF['nNonZero'], - ODF['nBins']), - 'Volume integral of ODF: %12.11f\n'%sumdV_V, - 'Reference Integral: %12.11f\n'%(ODF['limit'][0]*ODF['limit'][2]*(1-math.cos(ODF['limit'][1]))), - ]) - - Functions = {'IA': 'directInversion', 'STAT': 'TothVanHoutteSTAT', 'MC': 'MonteCarloBins'} - method = Functions[options.algorithm] - - Orientations, ReconstructedODF = (globals()[method])(ODF,options.number) - -# calculate accuracy of sample - squaredDiff = {'orig':0.0,method:0.0} - squaredRelDiff = {'orig':0.0,method:0.0} - mutualProd = {'orig':0.0,method:0.0} - indivSum = {'orig':0.0,method:0.0} - indivSquaredSum = {'orig':0.0,method:0.0} - - for bin in range(ODF['nBins']): - squaredDiff[method] += (ODF['dV_V'][bin] - ReconstructedODF[bin])**2 - if ODF['dV_V'][bin] > 0.0: - squaredRelDiff[method] += (ODF['dV_V'][bin] - ReconstructedODF[bin])**2/ODF['dV_V'][bin]**2 - mutualProd[method] += ODF['dV_V'][bin]*ReconstructedODF[bin] - indivSum[method] += ReconstructedODF[bin] - indivSquaredSum[method] += ReconstructedODF[bin]**2 - indivSum['orig'] += ODF['dV_V'][bin] - indivSquaredSum['orig'] += ODF['dV_V'][bin]**2 - - damask.util.croak(['sqrt(N*)RMSD of ODFs:\t %12.11f'% math.sqrt(options.number*squaredDiff[method]), - 'RMSrD of ODFs:\t %12.11f'%math.sqrt(squaredRelDiff[method]), - 'rMSD of ODFs:\t %12.11f'%(squaredDiff[method]/indivSquaredSum['orig']), - 'nNonZero correlation slope:\t %12.11f'\ - %((ODF['nNonZero']*mutualProd[method]-indivSum['orig']*indivSum[method])/\ - (ODF['nNonZero']*indivSquaredSum['orig']-indivSum['orig']**2)), - 'nNonZero correlation confidence:\t %12.11f'\ - %((mutualProd[method]-indivSum['orig']*indivSum[method]/ODF['nNonZero'])/\ - (ODF['nNonZero']*math.sqrt((indivSquaredSum['orig']/ODF['nNonZero']-(indivSum['orig']/ODF['nNonZero'])**2)*\ - (indivSquaredSum[method]/ODF['nNonZero']-(indivSum[method]/ODF['nNonZero'])**2)))), - ]) - - if method == 'IA' and options.number < ODF['nNonZero']: - strOpt = '(%i)'%ODF['nNonZero'] - - formatwidth = 1+int(math.log10(options.number)) - - materialConfig = [ - '#' + scriptID + ' ' + ' '.join(sys.argv[1:]), - '# random seed %i'%randomSeed, - '#-------------------#', - '', - '#-------------------#', - ] - - for i,ID in enumerate(range(options.number)): - materialConfig += ['[Grain%s]'%(str(ID+1).zfill(formatwidth)), - '(constituent) phase %i texture %s fraction 1.0'%(options.phase,str(ID+1).rjust(formatwidth)), - ] - - materialConfig += [ - '#-------------------#', - '', - '#-------------------#', - ] - - for ID in range(options.number): - eulers = Orientations[ID] - - materialConfig += ['[Grain%s]'%(str(ID+1).zfill(formatwidth)), - '(gauss) phi1 {} Phi {} phi2 {} scatter 0.0 fraction 1.0'.format(*eulers), - ] - -#--- output finalization -------------------------------------------------------------------------- - - with (open(os.path.splitext(name)[0]+'_'+method+'_'+str(options.number)+'_material.config','w')) as outfile: - outfile.write('\n'.join(materialConfig)+'\n') diff --git a/processing/pre/mentat_pbcOnBoxMesh.py b/processing/pre/mentat_pbcOnBoxMesh.py index c171c6ccd..3677a5efa 100755 --- a/processing/pre/mentat_pbcOnBoxMesh.py +++ b/processing/pre/mentat_pbcOnBoxMesh.py @@ -1,12 +1,17 @@ #!/usr/bin/env python3 -# -*- coding: UTF-8 no BOM -*- -import sys,os,re,time,tempfile -import numpy as np +import sys +import os +import re +import time +import tempfile from optparse import OptionParser + +import numpy as np + import damask -sys.path.append(damask.solver.Marc().libraryPath()) +sys.path.append(str(damask.solver.Marc().library_path)) scriptName = os.path.splitext(os.path.basename(__file__))[0] scriptID = ' '.join([scriptName,damask.version]) @@ -197,14 +202,15 @@ def add_servoLinks(mfd_data,active=[True,True,True]): # directions on which to if mfd_data[i]['uid'] == 1705: del mfd_data[i] mfd_data.insert(i, links) - + + #-------------------------------------------------------------------------------------------------- # MAIN #-------------------------------------------------------------------------------------------------- + parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description = """ Set up servo linking to achieve periodic boundary conditions for a regular hexahedral mesh. Use *py_connection to operate on model presently opened in MSC.Mentat. - """, version = scriptID) parser.add_option('-p', '--port', @@ -229,10 +235,7 @@ if remote and filenames != []: if filenames == []: filenames = [None] if remote: - try: import py_mentat - except: - damask.util.croak('no valid Mentat release found.') - sys.exit(-1) + import py_mentat damask.util.report(scriptName, 'waiting to connect...') filenames = [os.path.join(tempfile._get_default_tempdir(), next(tempfile._get_candidate_names()) + '.mfd')] @@ -240,14 +243,14 @@ if remote: py_mentat.py_connect('',options.port) py_mentat.py_send('*set_save_formatted on') py_mentat.py_send('*save_as_model "{}" yes'.format(filenames[0])) - py_mentat.py_get_int("nnodes()") # hopefully blocks until file is written - except: - damask.util.croak('failed. try setting Tools/Python/"Run as Separate Process" & "Initiate".') - sys.exit() + py_mentat.py_get_int("nnodes()") + except py_mentat.InputError as err: + damask.util.croak('{}. Try Tools/Python/"Run as Separate Process" & "Initiate".'.format(err)) + sys.exit(-1) damask.util.croak( 'connected...') for name in filenames: - while remote and not os.path.exists(name): time.sleep(0.5) # wait for Mentat to write MFD file + while remote and not os.path.exists(name): time.sleep(0.5) with open( name,'r') if name is not None else sys.stdin as fileIn: damask.util.report(scriptName, name) mfd = parseMFD(fileIn) @@ -257,5 +260,4 @@ for name in filenames: fileOut.write(asMFD(mfd)) if remote: - try: py_mentat.py_send('*open_model "{}"'.format(filenames[0])) - except: damask.util.croak('lost connection on sending open command for "{}".'.format(filenames[0])) + py_mentat.py_send('*open_model "{}"'.format(filenames[0])) diff --git a/processing/pre/mentat_spectralBox.py b/processing/pre/mentat_spectralBox.py index a61bef57a..7d78cb973 100755 --- a/processing/pre/mentat_spectralBox.py +++ b/processing/pre/mentat_spectralBox.py @@ -9,7 +9,7 @@ import damask scriptName = os.path.splitext(os.path.basename(__file__))[0] scriptID = ' '.join([scriptName,damask.version]) -sys.path.append(damask.solver.Marc().libraryPath()) +sys.path.append(str(damask.solver.Marc().library_path)) #------------------------------------------------------------------------------------------------- def outMentat(cmd,locals): @@ -20,7 +20,6 @@ def outMentat(cmd,locals): py_mentat.py_send(cmd) else: py_mentat.py_send(cmd) - return #------------------------------------------------------------------------------------------------- def outFile(cmd,locals,dest): @@ -31,7 +30,6 @@ def outFile(cmd,locals,dest): dest.write(cmd+'\n') else: dest.write(cmd+'\n') - return #------------------------------------------------------------------------------------------------- def output(cmds,locals,dest): @@ -43,10 +41,8 @@ def output(cmds,locals,dest): outMentat(str(cmd),locals) else: outFile(str(cmd),locals,dest) - return - #------------------------------------------------------------------------------------------------- def init(): return [ @@ -104,8 +100,8 @@ def mesh(r,d): #------------------------------------------------------------------------------------------------- -def material(): - cmds = [\ +def materials(): + return [\ "*new_mater standard", "*mater_option general:state:solid", "*mater_option structural:type:hypo_elast", @@ -118,13 +114,11 @@ def material(): "*add_geometry_elements", "all_existing", ] - - return cmds - + #------------------------------------------------------------------------------------------------- def geometry(): - cmds = [\ + return [\ "*geometry_type mech_three_solid", # "*geometry_option red_integ_capacity:on", "*add_geometry_elements", @@ -133,16 +127,14 @@ def geometry(): "*element_type 7", "all_existing", ] - - return cmds - + #------------------------------------------------------------------------------------------------- -def initial_conditions(homogenization,microstructures): +def initial_conditions(material): elements = [] element = 0 - for id in microstructures: - element += 1 + for id in material: + element += 1 if len(elements) < id: for i in range(id-len(elements)): elements.append([]) @@ -156,21 +148,14 @@ def initial_conditions(homogenization,microstructures): "*icond_dof_value var 300", "*add_icond_elements", "all_existing", - "*new_icond", - "*icond_name _homogenization", - "*icond_type state_variable", - "*icond_param_value state_var_id 2", - "*icond_dof_value var %i"%homogenization, - "*add_icond_elements", - "all_existing", ] for grain,elementList in enumerate(elements): cmds.append([\ "*new_icond", - "*icond_name microstructure_%i"%(grain+1), + "*icond_name material_%i"%(grain+1), "*icond_type state_variable", - "*icond_param_value state_var_id 3", + "*icond_param_value state_var_id 2", "*icond_dof_value var %i"%(grain+1), "*add_icond_elements", elementList, @@ -210,22 +195,22 @@ if filenames == []: filenames = [None] for name in filenames: damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - microstructure = geom.get_microstructure().flatten(order='F') + + geom = damask.Geom.load_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) + material = geom.material.flatten(order='F') cmds = [\ init(), mesh(geom.grid,geom.size), - material(), + materials(), geometry(), - initial_conditions(geom.homogenization,microstructure), + initial_conditions(material), '*identify_sets', '*show_model', '*redraw', '*draw_automatic', ] - + outputLocals = {} if options.port: py_mentat.py_connect('',options.port) diff --git a/processing/pre/seeds_check.py b/processing/pre/seeds_check.py deleted file mode 100755 index 6ef808a0a..000000000 --- a/processing/pre/seeds_check.py +++ /dev/null @@ -1,39 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog [seedfile(s)]', description = """ -Writes vtk file for visualization. - -""", version = scriptID) - -(options, filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -for name in filenames: - damask.util.report(scriptName,name) - - seeds = damask.Table.from_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) - v = damask.VTK.from_polyData(seeds.get('pos')) - for label in seeds.shapes.keys(): - if label == 'pos': pass - v.add(seeds.get(label),label) - - if name: - v.write(os.path.splitext(name)[0]) - else: - sys.stdout.write(v.__repr__()) diff --git a/processing/pre/seeds_fromDistribution.py b/processing/pre/seeds_fromDistribution.py index d00016865..375f33ad3 100755 --- a/processing/pre/seeds_fromDistribution.py +++ b/processing/pre/seeds_fromDistribution.py @@ -30,7 +30,7 @@ class myThread (threading.Thread): def run(self): global bestSeedsUpdate global bestSeedsVFile - global nMicrostructures + global nMaterials global delta global points global target @@ -48,7 +48,6 @@ class myThread (threading.Thread): myBestSeedsVFile = StringIO() # store local copy of best seeds file perturbedSeedsVFile = StringIO() # perturbed best seeds file - perturbedGeomVFile = StringIO() # tessellated geom file #--- still not matching desired bin class ---------------------------------------------------------- while bestMatch < options.threshold: @@ -70,7 +69,7 @@ class myThread (threading.Thread): selectedMs = [] direction = [] for i in range(NmoveGrains): - selectedMs.append(random.randrange(1,nMicrostructures)) + selectedMs.append(random.randrange(1,nMaterials)) direction.append((np.random.random()-0.5)*delta) @@ -78,7 +77,7 @@ class myThread (threading.Thread): perturbedSeedsVFile = StringIO() myBestSeedsVFile.seek(0) - perturbedSeedsTable = damask.Table.from_ASCII(myBestSeedsVFile) + perturbedSeedsTable = damask.Table.load(myBestSeedsVFile) coords = perturbedSeedsTable.get('pos') i = 0 for ms,coord in enumerate(coords): @@ -89,24 +88,18 @@ class myThread (threading.Thread): coords[i]=newCoords direction[i]*=2. i+= 1 - perturbedSeedsTable.set('pos',coords) - perturbedSeedsTable.to_ASCII(perturbedSeedsVFile) + perturbedSeedsTable.set('pos',coords).save(perturbedSeedsVFile,legacy=True) #--- do tesselation with perturbed seed file ------------------------------------------------------ - perturbedGeomVFile.close() - perturbedGeomVFile = StringIO() - perturbedSeedsVFile.seek(0) - perturbedGeomVFile.write(damask.util.execute('geom_fromVoronoiTessellation '+ - ' -g '+' '.join(list(map(str, options.grid))),streamIn=perturbedSeedsVFile)[0]) - perturbedGeomVFile.seek(0) + perturbedGeom = damask.Geom.from_Voronoi_tessellation(options.grid,np.ones(3),coords) + #--- evaluate current seeds file ------------------------------------------------------------------ - perturbedGeom = damask.Geom.from_file(perturbedGeomVFile) - myNmicrostructures = len(np.unique(perturbedGeom.microstructure)) - currentData=np.bincount(perturbedGeom.microstructure.ravel())[1:]/points + myNmaterials = len(np.unique(perturbedGeom.material)) + currentData = np.bincount(perturbedGeom.material.ravel())[1:]/points currentError=[] currentHist=[] - for i in range(nMicrostructures): # calculate the deviation in all bins per histogram + for i in range(nMaterials): # calculate the deviation in all bins per histogram currentHist.append(np.histogram(currentData,bins=target[i]['bins'])[0]) currentError.append(np.sqrt(np.square(np.array(target[i]['histogram']-currentHist[i])).sum())) @@ -118,12 +111,12 @@ class myThread (threading.Thread): bestMatch = match #--- count bin classes with no mismatch ---------------------------------------------------------------------- myMatch=0 - for i in range(nMicrostructures): + for i in range(nMaterials): if currentError[i] > 0.0: break myMatch = i+1 - if myNmicrostructures == nMicrostructures: - for i in range(min(nMicrostructures,myMatch+options.bins)): + if myNmaterials == nMaterials: + for i in range(min(nMaterials,myMatch+options.bins)): if currentError[i] > target[i]['error']: # worse fitting, next try randReset = True break @@ -142,25 +135,25 @@ class myThread (threading.Thread): for line in perturbedSeedsVFile: currentSeedsFile.write(line) bestSeedsVFile.write(line) - for j in range(nMicrostructures): # save new errors for all bins + for j in range(nMaterials): # save new errors for all bins target[j]['error'] = currentError[j] if myMatch > match: # one or more new bins have no deviation damask.util.croak( 'Stage {:d} cleared'.format(myMatch)) match=myMatch sys.stdout.flush() break - if i == min(nMicrostructures,myMatch+options.bins)-1: # same quality as before: take it to keep on moving + if i == min(nMaterials,myMatch+options.bins)-1: # same quality as before: take it to keep on moving bestSeedsUpdate = time.time() perturbedSeedsVFile.seek(0) bestSeedsVFile.close() bestSeedsVFile = StringIO() bestSeedsVFile.writelines(perturbedSeedsVFile.readlines()) - for j in range(nMicrostructures): + for j in range(nMaterials): target[j]['error'] = currentError[j] randReset = True else: #--- not all grains are tessellated - damask.util.croak('Thread {:d}: Microstructure mismatch ({:d} microstructures mapped)'\ - .format(self.threadID,myNmicrostructures)) + damask.util.croak('Thread {:d}: Material mismatch ({:d} material indices mapped)'\ + .format(self.threadID,myNmaterials)) randReset = True @@ -213,43 +206,36 @@ if options.randomSeed is None: options.randomSeed = int(os.urandom(4).hex(),16) damask.util.croak(options.randomSeed) delta = options.scale/np.array(options.grid) -baseFile=os.path.splitext(os.path.basename(options.seedFile))[0] +baseFile = os.path.splitext(os.path.basename(options.seedFile))[0] points = np.array(options.grid).prod().astype('float') # ----------- calculate target distribution and bin edges -targetGeom = damask.Geom.from_file(os.path.splitext(os.path.basename(options.target))[0]+'.geom') -nMicrostructures = len(np.unique(targetGeom.microstructure)) -targetVolFrac = np.bincount(targetGeom.microstructure.flatten())/targetGeom.grid.prod().astype(np.float) -target=[] -for i in range(1,nMicrostructures+1): +targetGeom = damask.Geom.load_ASCII(os.path.splitext(os.path.basename(options.target))[0]+'.geom') +nMaterials = len(np.unique(targetGeom.material)) +targetVolFrac = np.bincount(targetGeom.material.flatten())/targetGeom.grid.prod().astype(np.float) +target = [] +for i in range(1,nMaterials+1): targetHist,targetBins = np.histogram(targetVolFrac,bins=i) #bin boundaries target.append({'histogram':targetHist,'bins':targetBins}) # ----------- create initial seed file or open existing one bestSeedsVFile = StringIO() if os.path.isfile(os.path.splitext(options.seedFile)[0]+'.seeds'): - with open(os.path.splitext(options.seedFile)[0]+'.seeds') as initialSeedFile: - for line in initialSeedFile: bestSeedsVFile.write(line) + initial_seeds = damask.Table.load(os.path.splitext(options.seedFile)[0]+'.seeds').get('pos') else: - bestSeedsVFile.write(damask.util.execute('seeds_fromRandom'+\ - ' -g '+' '.join(list(map(str, options.grid)))+\ - ' -r {:d}'.format(options.randomSeed)+\ - ' -N '+str(nMicrostructures))[0]) + initial_seeds = damask.seeds.from_random(np.ones(3),nMaterials,options.grid,options.randomSeed) + bestSeedsUpdate = time.time() # ----------- tessellate initial seed file to get and evaluate geom file bestSeedsVFile.seek(0) -initialGeomVFile = StringIO() -initialGeomVFile.write(damask.util.execute('geom_fromVoronoiTessellation '+ - ' -g '+' '.join(list(map(str, options.grid))),bestSeedsVFile)[0]) -initialGeomVFile.seek(0) -initialGeom = damask.Geom.from_file(initialGeomVFile) +initialGeom = damask.Geom.from_Voronoi_tessellation(options.grid,np.ones(3),initial_seeds) -if len(np.unique(targetGeom.microstructure)) != nMicrostructures: - damask.util.croak('error. Microstructure count mismatch') +if len(np.unique(targetGeom.material)) != nMaterials: + damask.util.croak('error. Material count mismatch') -initialData = np.bincount(initialGeom.microstructure.flatten())/points -for i in range(nMicrostructures): +initialData = np.bincount(initialGeom.material.flatten())/points +for i in range(nMaterials): initialHist = np.histogram(initialData,bins=target[i]['bins'])[0] target[i]['error']=np.sqrt(np.square(np.array(target[i]['histogram']-initialHist)).sum()) @@ -258,23 +244,22 @@ if target[0]['error'] > 0.0: target[0]['error'] *=((target[0]['bins'][0]-np.min(initialData))**2.0+ (target[0]['bins'][1]-np.max(initialData))**2.0)**0.5 match=0 -for i in range(nMicrostructures): +for i in range(nMaterials): if target[i]['error'] > 0.0: break match = i+1 if options.maxseeds < 1: - maxSeeds = len(np.unique(initialGeom.microstructure)) + maxSeeds = len(np.unique(initialGeom.material)) else: maxSeeds = options.maxseeds if match >0: damask.util.croak('Stage {:d} cleared'.format(match)) sys.stdout.flush() -initialGeomVFile.close() # start mulithreaded monte carlo simulation -threads=[] -s=threading.Semaphore(1) +threads = [] +s = threading.Semaphore(1) for i in range(options.threads): threads.append(myThread(i)) diff --git a/processing/pre/seeds_fromGeom.py b/processing/pre/seeds_fromGeom.py deleted file mode 100755 index 0b741a077..000000000 --- a/processing/pre/seeds_fromGeom.py +++ /dev/null @@ -1,69 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from io import StringIO -from optparse import OptionParser - -import numpy as np - -import damask - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - -#-------------------------------------------------------------------------------------------------- -# MAIN -#-------------------------------------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options [file[s]]', description = """ -Create seed file taking microstructure indices from given geom file. -Indices can be black-listed or white-listed. - -""", version = scriptID) - -parser.add_option('-w', - '--white', - action = 'extend', metavar = '', - dest = 'whitelist', - help = 'whitelist of grain IDs') -parser.add_option('-b', - '--black', - action = 'extend', metavar = '', - dest = 'blacklist', - help = 'blacklist of grain IDs') - -parser.set_defaults(whitelist = [], - blacklist = [], - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -options.whitelist = [int(i) for i in options.whitelist] -options.blacklist = [int(i) for i in options.blacklist] - -for name in filenames: - damask.util.report(scriptName,name) - - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) - microstructure = geom.get_microstructure().reshape((-1,1),order='F') - - mask = np.logical_and(np.in1d(microstructure,options.whitelist,invert=False) if options.whitelist else \ - np.full(geom.grid.prod(),True,dtype=bool), - np.in1d(microstructure,options.blacklist,invert=True) if options.blacklist else \ - np.full(geom.grid.prod(),True,dtype=bool)) - - seeds = damask.grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') - - comments = geom.comments \ - + [scriptID + ' ' + ' '.join(sys.argv[1:]), - 'grid\ta {}\tb {}\tc {}'.format(*geom.grid), - 'size\tx {}\ty {}\tz {}'.format(*geom.size), - 'origin\tx {}\ty {}\tz {}'.format(*geom.origin), - 'homogenization\t{}'.format(geom.homogenization)] - - table = damask.Table(seeds[mask],{'pos':(3,)},comments) - table.add('microstructure',microstructure[mask]) - table.to_ASCII(sys.stdout if name is None else \ - os.path.splitext(name)[0]+'.seeds') diff --git a/processing/pre/seeds_fromPokes.py b/processing/pre/seeds_fromPokes.py index 49bbe3429..887d76392 100755 --- a/processing/pre/seeds_fromPokes.py +++ b/processing/pre/seeds_fromPokes.py @@ -52,7 +52,7 @@ options.box = np.array(options.box).reshape(3,2) for name in filenames: damask.util.report(scriptName,name) - geom = damask.Geom.from_file(StringIO(''.join(sys.stdin.read())) if name is None else name) + geom = damask.Geom.load_ASCII(StringIO(''.join(sys.stdin.read())) if name is None else name) offset =(np.amin(options.box, axis=1)*geom.grid/geom.size).astype(int) box = np.amax(options.box, axis=1) \ @@ -76,7 +76,7 @@ for name in filenames: g[2] = k + offset[2] g %= geom.grid seeds[n,0:3] = (g+0.5)/geom.grid # normalize coordinates to box - seeds[n, 3] = geom.microstructure[g[0],g[1],g[2]] + seeds[n, 3] = geom.material[g[0],g[1],g[2]] if options.x: g[0] += 1 if options.y: g[1] += 1 n += 1 @@ -88,9 +88,9 @@ for name in filenames: 'grid\ta {}\tb {}\tc {}'.format(*geom.grid), 'size\tx {}\ty {}\tz {}'.format(*geom.size), 'origin\tx {}\ty {}\tz {}'.format(*geom.origin), - 'homogenization\t{}'.format(geom.homogenization)] + ] - table = damask.Table(seeds,{'pos':(3,),'microstructure':(1,)},comments) - table.set('microstructure',table.get('microstructure').astype(np.int)) - table.to_ASCII(sys.stdout if name is None else \ - os.path.splitext(name)[0]+'_poked_{}.seeds'.format(options.N)) + table = damask.Table(seeds,{'pos':(3,),'material':(1,)},comments) + table.set('material',table.get('material').astype(np.int))\ + .save(sys.stdout if name is None else \ + os.path.splitext(name)[0]+f'_poked_{options.N}.seeds',legacy=True) diff --git a/processing/pre/seeds_fromRandom.py b/processing/pre/seeds_fromRandom.py deleted file mode 100755 index be690713c..000000000 --- a/processing/pre/seeds_fromRandom.py +++ /dev/null @@ -1,165 +0,0 @@ -#!/usr/bin/env python3 - -import os -import sys -from optparse import OptionParser,OptionGroup - -import numpy as np -from scipy import spatial - -import damask - - -scriptName = os.path.splitext(os.path.basename(__file__))[0] -scriptID = ' '.join([scriptName,damask.version]) - - -# -------------------------------------------------------------------- -# MAIN -# -------------------------------------------------------------------- - -parser = OptionParser(option_class=damask.extendableOption, usage='%prog options', description = """ -Distribute given number of points randomly within rectangular cuboid. -Reports positions with random crystal orientations in seeds file format to STDOUT. - -""", version = scriptID) - -parser.add_option('-N', - dest = 'N', - type = 'int', metavar = 'int', - help = 'number of seed points [%default]') -parser.add_option('-s', - '--size', - dest = 'size', - type = 'float', nargs = 3, metavar = 'float float float', - help='size x,y,z of unit cube to fill %default') -parser.add_option('-g', - '--grid', - dest = 'grid', - type = 'int', nargs = 3, metavar = 'int int int', - help='min a,b,c grid of hexahedral box %default') -parser.add_option('-m', - '--microstructure', - dest = 'microstructure', - type = 'int', metavar = 'int', - help = 'first microstructure index [%default]') -parser.add_option('-r', - '--rnd', - dest = 'randomSeed', type = 'int', metavar = 'int', - help = 'seed of random number generator [%default]') - -group = OptionGroup(parser, "Laguerre Tessellation", - "Parameters determining shape of weight distribution of seed points" - ) -group.add_option( '-w', - '--weights', - action = 'store_true', - dest = 'weights', - help = 'assign random weights to seed points for Laguerre tessellation [%default]') -group.add_option( '--max', - dest = 'max', - type = 'float', metavar = 'float', - help = 'max of uniform distribution for weights [%default]') -group.add_option( '--mean', - dest = 'mean', - type = 'float', metavar = 'float', - help = 'mean of normal distribution for weights [%default]') -group.add_option( '--sigma', - dest = 'sigma', - type = 'float', metavar = 'float', - help='standard deviation of normal distribution for weights [%default]') -parser.add_option_group(group) - -group = OptionGroup(parser, "Selective Seeding", - "More uniform distribution of seed points using Mitchell's Best Candidate Algorithm" - ) -group.add_option( '--selective', - action = 'store_true', - dest = 'selective', - help = 'selective picking of seed points from random seed points') -group.add_option( '--distance', - dest = 'distance', - type = 'float', metavar = 'float', - help = 'minimum distance to next neighbor [%default]') -group.add_option( '--numCandidates', - dest = 'numCandidates', - type = 'int', metavar = 'int', - help = 'size of point group to select best distance from [%default]') -parser.add_option_group(group) - -parser.set_defaults(randomSeed = None, - grid = (16,16,16), - size = (1.0,1.0,1.0), - N = 20, - weights = False, - max = 0.0, - mean = 0.2, - sigma = 0.05, - microstructure = 1, - selective = False, - distance = 0.2, - numCandidates = 10, - ) - -(options,filenames) = parser.parse_args() -if filenames == []: filenames = [None] - -size = np.array(options.size) -grid = np.array(options.grid) -np.random.seed(int(os.urandom(4).hex(),16) if options.randomSeed is None else options.randomSeed) - -for name in filenames: - damask.util.report(scriptName,name) - - if options.N > np.prod(grid): - damask.util.croak('More seeds than grid positions.') - sys.exit() - if options.selective and options.distance < min(size/grid): - damask.util.croak('Distance must be larger than grid spacing.') - sys.exit() - if options.selective and options.distance**3*options.N > 0.5*np.prod(size): - damask.util.croak('Number of seeds for given size and distance should be < {}.'\ - .format(int(0.5*np.prod(size)/options.distance**3))) - - eulers = np.random.rand(options.N,3) # create random Euler triplets - eulers[:,0] *= 360.0 # phi_1 is uniformly distributed - eulers[:,1] = np.degrees(np.arccos(2*eulers[:,1]-1.0)) # cos(Phi) is uniformly distributed - eulers[:,2] *= 360.0 # phi_2 is uniformly distributed - - - if not options.selective: - coords = damask.grid_filters.cell_coord0(grid,size).reshape(-1,3,order='F') - seeds = coords[np.random.choice(np.prod(grid), options.N, replace=False)] \ - + np.broadcast_to(size/grid,(options.N,3))*(np.random.rand(options.N,3)*.5-.25) # wobble without leaving grid - else: - seeds = np.empty((options.N,3)) - seeds[0] = np.random.random(3) * size - - i = 1 - progress = damask.util._ProgressBar(options.N,'',50) - while i < options.N: - candidates = np.random.rand(options.numCandidates,3)*np.broadcast_to(size,(options.numCandidates,3)) - tree = spatial.cKDTree(seeds[:i]) - distances, dev_null = tree.query(candidates) - best = distances.argmax() - if distances[best] > options.distance: # require minimum separation - seeds[i] = candidates[best] # maximum separation to existing point cloud - i += 1 - progress.update(i) - - - comments = [scriptID + ' ' + ' '.join(sys.argv[1:]), - 'grid\ta {}\tb {}\tc {}'.format(*grid), - 'size\tx {}\ty {}\tz {}'.format(*size), - 'randomSeed\t{}'.format(options.randomSeed), - ] - - table = damask.Table(np.hstack((seeds,eulers)),{'pos':(3,),'euler':(3,)},comments) - table.add('microstructure',np.arange(options.microstructure,options.microstructure + options.N,dtype=int)) - - if options.weights: - weights = np.random.uniform(low = 0, high = options.max, size = options.N) if options.max > 0.0 \ - else np.random.normal(loc = options.mean, scale = options.sigma, size = options.N) - table.add('weight',weights) - - table.to_ASCII(sys.stdout if name is None else name) diff --git a/python/.coveragerc b/python/.coveragerc index 5daa25bb2..97114fb82 100644 --- a/python/.coveragerc +++ b/python/.coveragerc @@ -2,4 +2,3 @@ omit = tests/* damask/_asciitable.py damask/_test.py - damask/config/* diff --git a/python/damask/__init__.py b/python/damask/__init__.py index 9a01e8e62..600f64138 100644 --- a/python/damask/__init__.py +++ b/python/damask/__init__.py @@ -1,25 +1,35 @@ -"""Main aggregator.""" -import os as _os +"""Tools for pre and post processing of DAMASK simulations.""" +from pathlib import Path as _Path import re as _re name = 'damask' -with open(_os.path.join(_os.path.dirname(__file__),'VERSION')) as _f: +with open(_Path(__file__).parent/_Path('VERSION')) as _f: version = _re.sub(r'^v','',_f.readline().strip()) + __version__ = version # make classes directly accessible as damask.Class -from ._environment import Environment # noqa -from ._table import Table # noqa -from ._vtk import VTK # noqa -from ._colormaps import Colormap, Color # noqa -from ._rotation import Rotation # noqa -from ._lattice import Symmetry, Lattice# noqa -from ._orientation import Orientation # noqa -from ._result import Result # noqa -from ._geom import Geom # noqa -from . import solver # noqa +from ._environment import Environment as _ # noqa +environment = _() +from . import util # noqa +from . import seeds # noqa +from . import mechanics # noqa +from . import solver # noqa +from . import grid_filters # noqa +from ._lattice import Symmetry, Lattice# noqa +from ._table import Table # noqa +from ._rotation import Rotation # noqa +from ._vtk import VTK # noqa +from ._colormap import Colormap # noqa +from ._orientation import Orientation # noqa +from ._config import Config # noqa +from ._configmaterial import ConfigMaterial # noqa +from ._geom import Geom # noqa +from ._result import Result # noqa + + # deprecated +Environment = _ from ._asciitable import ASCIItable # noqa from ._test import Test # noqa -from .config import Material # noqa from .util import extendableOption # noqa diff --git a/python/damask/_asciitable.py b/python/damask/_asciitable.py index 8410b23a1..9d762369a 100644 --- a/python/damask/_asciitable.py +++ b/python/damask/_asciitable.py @@ -157,7 +157,7 @@ class ASCIItable(): def head_write(self, header = True): """Write current header information (info + labels).""" - head = ['{}\theader'.format(len(self.info)+self.__IO__['labeled'])] if header else [] + head = [f"{len(self.info)+self.__IO__['labeled']}\theader"] if header else [] head.append(self.info) if self.__IO__['labeled']: head.append('\t'.join(map(self._quote,self.tags))) @@ -209,7 +209,7 @@ class ASCIItable(): labelList.append(tags[id]) else: label = tags[id][2:] # get label - while id < len(tags) and tags[id] == '{}_{}'.format(dim,label): # check successors + while id < len(tags) and tags[id] == f'{dim}_{label}': # check successors id += 1 # next label... dim += 1 # ...should be one higher dimension labelList.append(label) # reached end --> store diff --git a/python/damask/_colormap.py b/python/damask/_colormap.py new file mode 100644 index 000000000..6803f4c60 --- /dev/null +++ b/python/damask/_colormap.py @@ -0,0 +1,685 @@ +import os +import json +import functools + +import numpy as np +import matplotlib as mpl +if os.name == 'posix' and 'DISPLAY' not in os.environ: + mpl.use('Agg') +import matplotlib.pyplot as plt +from matplotlib import cm +from PIL import Image + +from . import util +from . import Table + +_eps = 216./24389. +_kappa = 24389./27. +_ref_white = np.array([.95047, 1.00000, 1.08883]) # Observer = 2, Illuminant = D65 + +# ToDo (if needed) +# - support alpha channel (paraview/ASCII/input) +# - support NaN color (paraview) + +class Colormap(mpl.colors.ListedColormap): + + def __add__(self,other): + """Concatenate colormaps.""" + return Colormap(np.vstack((self.colors,other.colors)), + f'{self.name}+{other.name}') + + def __iadd__(self,other): + """Concatenate colormaps.""" + return self.__add__(other) + + def __invert__(self): + """Return inverted colormap.""" + return self.reversed() + + @staticmethod + def from_range(low,high,name='DAMASK colormap',N=256,model='rgb'): + """ + Create a perceptually uniform colormap between given (inclusive) bounds. + + Colors are internally stored as R(ed) G(green) B(lue) values. + The colormap can be used in matplotlib/seaborn or exported to + file for external use. + + Parameters + ---------- + low : numpy.ndarray of shape (3) + Color definition for minimum value. + high : numpy.ndarray of shape (3) + Color definition for maximum value. + N : int, optional + The number of color quantization levels. Defaults to 256. + name : str, optional + The name of the colormap. Defaults to `DAMASK colormap`. + model : {'rgb', 'hsv', 'hsl', 'xyz', 'lab', 'msh'} + Colormodel used for input color definitions. Defaults to `rgb`. + The available color models are: + - 'rgb': R(ed) G(green) B(lue). + - 'hsv': H(ue) S(aturation) V(alue). + - 'hsl': H(ue) S(aturation) L(uminance). + - 'xyz': CIE Xyz. + - 'lab': CIE Lab. + - 'msh': Msh (for perceptual uniform interpolation). + + """ + low_high = np.vstack((low,high)) + if model.lower() == 'rgb': + if np.any(low_high<0) or np.any(low_high>1): + raise ValueError(f'RGB color {low} | {high} are out of range.') + + low_,high_ = map(Colormap._rgb2msh,low_high) + + elif model.lower() == 'hsv': + if np.any(low_high<0) or np.any(low_high[:,1:3]>1) or np.any(low_high[:,0]>360): + raise ValueError(f'HSV color {low} | {high} are out of range.') + + low_,high_ = map(Colormap._hsv2msh,low_high) + + elif model.lower() == 'hsl': + if np.any(low_high<0) or np.any(low_high[:,1:3]>1) or np.any(low_high[:,0]>360): + raise ValueError(f'HSL color {low} | {high} are out of range.') + + low_,high_ = map(Colormap._hsl2msh,low_high) + + elif model.lower() == 'xyz': + + low_,high_ = map(Colormap._xyz2msh,low_high) + + elif model.lower() == 'lab': + if np.any(low_high[:,0]<0): + raise ValueError(f'CIE Lab color {low} | {high} are out of range.') + + low_,high_ = map(Colormap._lab2msh,low_high) + + elif model.lower() == 'msh': + low_,high_ = low_high[0],low_high[1] + + else: + raise ValueError(f'Invalid color model: {model}.') + + msh = map(functools.partial(Colormap._interpolate_msh,low=low_,high=high_),np.linspace(0,1,N)) + rgb = np.array(list(map(Colormap._msh2rgb,msh))) + + return Colormap(rgb,name=name) + + + @staticmethod + def from_predefined(name,N=256): + """ + Select from a set of predefined colormaps. + + Predefined colormaps include native matplotlib colormaps + and common DAMASK colormaps. + + Parameters + ---------- + name : str + The name of the colormap. + N : int, optional + The number of color quantization levels. Defaults to 256. + This parameter is not used for matplotlib colormaps + that are of type `ListedColormap`. + + """ + # matplotlib presets + for cat in Colormap._predefined_mpl: + for n in cat[1]: + if n == name: + colormap = cm.__dict__[name] + if isinstance(colormap,mpl.colors.LinearSegmentedColormap): + return Colormap(np.array(list(map(colormap,np.linspace(0,1,N)))),name=name) + else: + return Colormap(np.array(colormap.colors),name=name) + + # DAMASK presets + definition = Colormap._predefined_DAMASK[name] + return Colormap.from_range(definition['low'],definition['high'],name,N) + + + @staticmethod + def list_predefined(): + """ + List predefined colormaps by category. + + References + ---------- + [1] DAMASK colormap theory + https://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf + [2] DAMASK colormaps first use + https://doi.org/10.1016/j.ijplas.2012.09.012 + [3] Matplotlib colormaps overview + https://matplotlib.org/tutorials/colors/colormaps.html + + """ + print('DAMASK colormaps') + print(' '+', '.join(Colormap._predefined_DAMASK.keys())) + for cat in Colormap._predefined_mpl: + print(f'{cat[0]}') + print(' '+', '.join(cat[1])) + + + def shade(self,field,bounds=None,gap=None): + """ + Generate PIL image of 2D field using colormap. + + Parameters + ---------- + field : numpy.array of shape(:,:) + Data to be shaded. + bounds : iterable of len(2), optional + Colormap value range (low,high). + gap : field.dtype, optional + Transparent value. NaN will always be rendered transparent. + + Returns + ------- + PIL.Image + RGBA image of shaded data. + + """ + N = len(self.colors) + mask = np.logical_not(np.isnan(field) if gap is None else \ + np.logical_or (np.isnan(field), field == gap)) # mask NaN (and gap if present) + + lo,hi = (field[mask].min(),field[mask].max()) if bounds is None else \ + (min(bounds[:2]),max(bounds[:2])) + + delta,avg = hi-lo,0.5*(hi+lo) + + if delta * 1e8 <= avg: # delta is similar to numerical noise + hi,lo = hi+0.5*avg,lo-0.5*avg # extend range to have actual data centered within + + return Image.fromarray( + (np.dstack(( + self.colors[(np.round(np.clip((field-lo)/(hi-lo),0.0,1.0)*(N-1))).astype(np.uint16),:3], + mask.astype(float) + ) + )*255 + ).astype(np.uint8), + mode='RGBA') + + + def show(self,aspect=10,vertical=False): + """Show colormap as matplotlib figure.""" + fig = plt.figure(figsize=(5/aspect,5) if vertical else (5,5/aspect)) + ax1 = fig.add_axes([0, 0, 1, 1]) + ax1.set_axis_off() + ax1.imshow(np.linspace(1 if vertical else 0, + 0 if vertical else 1, + self.N).reshape((-1,1) if vertical else (1,-1)), + aspect='auto', cmap=self, interpolation='nearest') + plt.show() + + + def reversed(self,name=None): + """ + Make a reversed instance of the colormap. + + Parameters + ---------- + name : str, optional + The name for the reversed colormap. + A name of None will be replaced by the name of the parent colormap + "_r". + + Returns + ------- + damask.Colormap + The reversed colormap. + + """ + rev = super(Colormap,self).reversed(name) + return Colormap(np.array(rev.colors),rev.name[:-4] if rev.name.endswith('_r_r') else rev.name) + + + + def save_paraview(self,fname=None): + """ + Write colormap to JSON file for Paraview. + + Parameters + ---------- + fname : file, str, or pathlib.Path, optional. + Filename to store results. If not given, the filename will + consist of the name of the colormap and extension '.json'. + + """ + if fname is not None: + try: + fhandle = open(fname,'w') + except TypeError: + fhandle = fname + else: + fhandle = None + + colors = [] + for i,c in enumerate(np.round(self.colors,6).tolist()): + colors+=[i]+c + + out = [{ + 'Creator':util.execution_stamp('Colormap'), + 'ColorSpace':'RGB', + 'Name':self.name, + 'DefaultMap':True, + 'RGBPoints':colors + }] + if fhandle is None: + with open(self.name.replace(' ','_')+'.json', 'w') as f: + json.dump(out, f,indent=4) + else: + json.dump(out,fhandle,indent=4) + + + def save_ASCII(self,fname=None): + """ + Write colormap to ASCII table. + + Parameters + ---------- + fname : file, str, or pathlib.Path, optional. + Filename to store results. If not given, the filename will + consist of the name of the colormap and extension '.txt'. + + """ + if fname is not None: + try: + fhandle = open(fname,'w') + except TypeError: + fhandle = fname + else: + fhandle = None + + labels = {'RGBA':4} if self.colors.shape[1] == 4 else {'RGB': 3} + t = Table(self.colors,labels,f'Creator: {util.execution_stamp("Colormap")}') + + if fhandle is None: + with open(self.name.replace(' ','_')+'.txt', 'w') as f: + t.save(f) + else: + t.save(fhandle) + + + def save_GOM(self,fname=None): + """ + Write colormap to GOM Aramis compatible format. + + Parameters + ---------- + fname : file, str, or pathlib.Path, optional. + Filename to store results. If not given, the filename will + consist of the name of the colormap and extension '.legend'. + + """ + if fname is not None: + try: + fhandle = open(fname,'w') + except TypeError: + fhandle = fname + else: + fhandle = None + # ToDo: test in GOM + GOM_str = '1 1 {name} 9 {name} '.format(name=self.name.replace(" ","_")) \ + + '0 1 0 3 0 0 -1 9 \\ 0 0 0 255 255 255 0 0 255 ' \ + + f'30 NO_UNIT 1 1 64 64 64 255 1 0 0 0 0 0 0 3 0 {len(self.colors)}' \ + + ' '.join([f' 0 {c[0]} {c[1]} {c[2]} 255 1' for c in reversed((self.colors*255).astype(int))]) \ + + '\n' + if fhandle is None: + with open(self.name.replace(' ','_')+'.legend', 'w') as f: + f.write(GOM_str) + else: + fhandle.write(GOM_str) + + + def save_gmsh(self,fname=None): + """ + Write colormap to Gmsh compatible format. + + Parameters + ---------- + fname : file, str, or pathlib.Path, optional. + Filename to store results. If not given, the filename will + consist of the name of the colormap and extension '.msh'. + + """ + if fname is not None: + try: + fhandle = open(fname,'w') + except TypeError: + fhandle = fname + else: + fhandle = None + # ToDo: test in gmsh + gmsh_str = 'View.ColorTable = {\n' \ + +'\n'.join([f'{c[0]},{c[1]},{c[2]},' for c in self.colors[:,:3]*255]) \ + +'\n}\n' + if fhandle is None: + with open(self.name.replace(' ','_')+'.msh', 'w') as f: + f.write(gmsh_str) + else: + fhandle.write(gmsh_str) + + + @staticmethod + def _interpolate_msh(frac,low,high): + """ + Interpolate in Msh color space. + + This interpolation gives a perceptually uniform colormap. + + References + ---------- + https://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf + https://www.kennethmoreland.com/color-maps/diverging_map.py + + """ + def rad_diff(a,b): + return abs(a[2]-b[2]) + + def adjust_hue(msh_sat, msh_unsat): + """If saturation of one of the two colors is much less than the other, hue of the less.""" + if msh_sat[0] >= msh_unsat[0]: + return msh_sat[2] + else: + hSpin = msh_sat[1]/np.sin(msh_sat[1])*np.sqrt(msh_unsat[0]**2.0-msh_sat[0]**2)/msh_sat[0] + if msh_sat[2] < - np.pi/3.0: hSpin *= -1.0 + return msh_sat[2] + hSpin + + + lo = np.array(low) + hi = np.array(high) + + if (lo[1] > 0.05 and hi[1] > 0.05 and rad_diff(lo,hi) > np.pi/3.0): + M_mid = max(lo[0],hi[0],88.0) + if frac < 0.5: + hi = np.array([M_mid,0.0,0.0]) + frac *= 2.0 + else: + lo = np.array([M_mid,0.0,0.0]) + frac = 2.0*frac - 1.0 + if lo[1] < 0.05 and hi[1] > 0.05: + lo[2] = adjust_hue(hi,lo) + elif lo[1] > 0.05 and hi[1] < 0.05: + hi[2] = adjust_hue(lo,hi) + + return (1.0 - frac) * lo + frac * hi + + + _predefined_mpl= [('Perceptually Uniform Sequential', [ + 'viridis', 'plasma', 'inferno', 'magma', 'cividis']), + ('Sequential', [ + 'Greys', 'Purples', 'Blues', 'Greens', 'Oranges', 'Reds', + 'YlOrBr', 'YlOrRd', 'OrRd', 'PuRd', 'RdPu', 'BuPu', + 'GnBu', 'PuBu', 'YlGnBu', 'PuBuGn', 'BuGn', 'YlGn']), + ('Sequential (2)', [ + 'binary', 'gist_yarg', 'gist_gray', 'gray', 'bone', 'pink', + 'spring', 'summer', 'autumn', 'winter', 'cool', 'Wistia', + 'hot', 'afmhot', 'gist_heat', 'copper']), + ('Diverging', [ + 'PiYG', 'PRGn', 'BrBG', 'PuOr', 'RdGy', 'RdBu', + 'RdYlBu', 'RdYlGn', 'Spectral', 'coolwarm', 'bwr', 'seismic']), + ('Cyclic', ['twilight', 'twilight_shifted', 'hsv']), + ('Qualitative', [ + 'Pastel1', 'Pastel2', 'Paired', 'Accent', + 'Dark2', 'Set1', 'Set2', 'Set3', + 'tab10', 'tab20', 'tab20b', 'tab20c']), + ('Miscellaneous', [ + 'flag', 'prism', 'ocean', 'gist_earth', 'terrain', 'gist_stern', + 'gnuplot', 'gnuplot2', 'CMRmap', 'cubehelix', 'brg', + 'gist_rainbow', 'rainbow', 'jet', 'nipy_spectral', 'gist_ncar'])] + + _predefined_DAMASK = {'orientation': {'low': [0.933334,0.878432,0.878431], + 'high': [0.250980,0.007843,0.000000]}, + 'strain': {'low': [0.941177,0.941177,0.870588], + 'high': [0.266667,0.266667,0.000000]}, + 'stress': {'low': [0.878432,0.874511,0.949019], + 'high': [0.000002,0.000000,0.286275]}} + + @staticmethod + def _hsv2rgb(hsv): + """ + H(ue) S(aturation) V(alue) to R(red) G(reen) B(lue). + + References + ---------- + https://www.rapidtables.com/convert/color/hsv-to-rgb.html + + """ + sextant = np.clip(int(hsv[0]/60.),0,5) + c = hsv[1]*hsv[2] + x = c*(1.0 - abs((hsv[0]/60.)%2 - 1.)) + + return np.array([ + [c, x, 0], + [x, c, 0], + [0, c, x], + [0, x, c], + [x, 0, c], + [c, 0, x], + ])[sextant] + hsv[2] - c + + @staticmethod + def _rgb2hsv(rgb): + """ + R(ed) G(reen) B(lue) to H(ue) S(aturation) V(alue). + + References + ---------- + https://www.rapidtables.com/convert/color/rgb-to-hsv.html + + """ + C_max = rgb.max() + C_min = rgb.min() + Delta = C_max - C_min + + v = C_max + s = 0. if np.isclose(C_max,0.) else Delta/C_max + if np.isclose(Delta,0.): + h = 0. + elif rgb.argmax() == 0: + h = (rgb[1]-rgb[2])/Delta%6 + elif rgb.argmax() == 1: + h = (rgb[2]-rgb[0])/Delta + 2. + elif rgb.argmax() == 2: + h = (rgb[0]-rgb[1])/Delta + 4. + + h = np.clip(h,0.,6.) * 60. + + return np.array([h,s,v]) + + + @staticmethod + def _hsl2rgb(hsl): + """ + H(ue) S(aturation) L(uminance) to R(red) G(reen) B(lue). + + References + ---------- + https://www.rapidtables.com/convert/color/hsl-to-rgb.html + + """ + sextant = np.clip(int(hsl[0]/60.),0,5) + c = (1.0 - abs(2.0 * hsl[2] - 1.))*hsl[1] + x = c*(1.0 - abs((hsl[0]/60.)%2 - 1.)) + m = hsl[2] - 0.5*c + + return np.array([ + [c+m, x+m, m], + [x+m, c+m, m], + [m, c+m, x+m], + [m, x+m, c+m], + [x+m, m, c+m], + [c+m, m, x+m], + ])[sextant] + + @staticmethod + def _rgb2hsl(rgb): + """ + R(ed) G(reen) B(lue) to H(ue) S(aturation) L(uminance). + + References + ---------- + https://www.rapidtables.com/convert/color/rgb-to-hsl.html + + """ + C_max = rgb.max() + C_min = rgb.min() + Delta = C_max - C_min + + l = np.clip((C_max + C_min)*.5,0.,1.) # noqa + s = 0. if np.isclose(C_max,C_min) else Delta/(1.-np.abs(2*l-1.)) + if np.isclose(Delta,0.): + h = 0. + elif rgb.argmax() == 0: + h = (rgb[1]-rgb[2])/Delta%6 + elif rgb.argmax() == 1: + h = (rgb[2]-rgb[0])/Delta + 2. + elif rgb.argmax() == 2: + h = (rgb[0]-rgb[1])/Delta + 4. + + h = np.clip(h,0.,6.) * 60. + + return np.array([h,s,l]) + + + @staticmethod + def _xyz2rgb(xyz): + """ + CIE Xyz to R(ed) G(reen) B(lue). + + References + ---------- + http://www.ryanjuckett.com/programming/rgb-color-space-conversion + + """ + rgb_lin = np.dot(np.array([ + [ 3.240969942,-1.537383178,-0.498610760], + [-0.969243636, 1.875967502, 0.041555057], + [ 0.055630080,-0.203976959, 1.056971514] + ]),xyz) + with np.errstate(invalid='ignore'): + rgb = np.where(rgb_lin>0.0031308,rgb_lin**(1.0/2.4)*1.0555-0.0555,rgb_lin*12.92) + + return np.clip(rgb,0.,1.) + + @staticmethod + def _rgb2xyz(rgb): + """ + R(ed) G(reen) B(lue) to CIE Xyz. + + References + ---------- + http://www.ryanjuckett.com/programming/rgb-color-space-conversion + + """ + rgb_lin = np.where(rgb>0.04045,((rgb+0.0555)/1.0555)**2.4,rgb/12.92) + return np.dot(np.array([ + [0.412390799,0.357584339,0.180480788], + [0.212639006,0.715168679,0.072192315], + [0.019330819,0.119194780,0.950532152] + ]),rgb_lin) + + + @staticmethod + def _lab2xyz(lab,ref_white=None): + """ + CIE Lab to CIE Xyz. + + References + ---------- + http://www.brucelindbloom.com/index.html?Eqn_Lab_to_XYZ.html + + """ + f_x = (lab[0]+16.)/116. + lab[1]/500. + f_z = (lab[0]+16.)/116. - lab[2]/200. + + return np.array([ + f_x**3. if f_x**3. > _eps else (116.*f_x-16.)/_kappa, + ((lab[0]+16.)/116.)**3 if lab[0]>_kappa*_eps else lab[0]/_kappa, + f_z**3. if f_z**3. > _eps else (116.*f_z-16.)/_kappa + ])*(ref_white if ref_white is not None else _ref_white) + + @staticmethod + def _xyz2lab(xyz,ref_white=None): + """ + CIE Xyz to CIE Lab. + + References + ---------- + http://www.brucelindbloom.com/index.html?Eqn_Lab_to_XYZ.html + + """ + ref_white = ref_white if ref_white is not None else _ref_white + f = np.where(xyz/ref_white > _eps,(xyz/ref_white)**(1./3.),(_kappa*xyz/ref_white+16.)/116.) + + return np.array([ + 116.0 * f[1] - 16.0, + 500.0 * (f[0] - f[1]), + 200.0 * (f[1] - f[2]) + ]) + + + @staticmethod + def _lab2msh(lab): + """ + CIE Lab to Msh. + + References + ---------- + https://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf + https://www.kennethmoreland.com/color-maps/diverging_map.py + + """ + M = np.linalg.norm(lab) + return np.array([ + M, + np.arccos(lab[0]/M) if M>1e-8 else 0., + np.arctan2(lab[2],lab[1]) if M>1e-8 else 0., + ]) + + @staticmethod + def _msh2lab(msh): + """ + Msh to CIE Lab. + + References + ---------- + https://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf + https://www.kennethmoreland.com/color-maps/diverging_map.py + + """ + return np.array([ + msh[0] * np.cos(msh[1]), + msh[0] * np.sin(msh[1]) * np.cos(msh[2]), + msh[0] * np.sin(msh[1]) * np.sin(msh[2]) + ]) + + @staticmethod + def _lab2rgb(lab): + return Colormap._xyz2rgb(Colormap._lab2xyz(lab)) + + @staticmethod + def _rgb2lab(rgb): + return Colormap._xyz2lab(Colormap._rgb2xyz(rgb)) + + @staticmethod + def _msh2rgb(msh): + return Colormap._lab2rgb(Colormap._msh2lab(msh)) + + @staticmethod + def _rgb2msh(rgb): + return Colormap._lab2msh(Colormap._rgb2lab(rgb)) + + @staticmethod + def _hsv2msh(hsv): + return Colormap._rgb2msh(Colormap._hsv2rgb(hsv)) + + @staticmethod + def _hsl2msh(hsl): + return Colormap._rgb2msh(Colormap._hsl2rgb(hsl)) + + @staticmethod + def _xyz2msh(xyz): + return Colormap._lab2msh(Colormap._xyz2lab(xyz)) diff --git a/python/damask/_colormaps.py b/python/damask/_colormaps.py deleted file mode 100644 index 2117b0b57..000000000 --- a/python/damask/_colormaps.py +++ /dev/null @@ -1,541 +0,0 @@ -import numpy as np - -class Color: - """Color representation in and conversion between different color-spaces.""" - - __slots__ = [ - 'model', - 'color', - '__dict__', - ] - - - def __init__(self, - model = 'RGB', - color = np.zeros(3)): - """ - Create a Color object. - - Parameters - ---------- - model : string - color model - color : numpy.ndarray - vector representing the color according to the selected model - - """ - self.__transforms__ = \ - {'HSV': {'index': 0, 'next': self._HSV2HSL}, - 'HSL': {'index': 1, 'next': self._HSL2RGB, 'prev': self._HSL2HSV}, - 'RGB': {'index': 2, 'next': self._RGB2XYZ, 'prev': self._RGB2HSL}, - 'XYZ': {'index': 3, 'next': self._XYZ2CIELAB, 'prev': self._XYZ2RGB}, - 'CIELAB': {'index': 4, 'next': self._CIELAB2MSH, 'prev': self._CIELAB2XYZ}, - 'MSH': {'index': 5, 'prev': self._MSH2CIELAB}, - } - - model = model.upper() - if model not in list(self.__transforms__.keys()): model = 'RGB' - if model == 'RGB' and max(color) > 1.0: # are we RGB255 ? - for i in range(3): - color[i] /= 255.0 # rescale to RGB - - if model == 'HSL': # are we HSL ? - if abs(color[0]) > 1.0: color[0] /= 360.0 # with angular hue? - while color[0] >= 1.0: color[0] -= 1.0 # rewind to proper range - while color[0] < 0.0: color[0] += 1.0 # rewind to proper range - - self.model = model - self.color = np.array(color,'d') - - - def __repr__(self): - """Color model and values.""" - return 'Model: %s Color: %s'%(self.model,str(self.color)) - - - def __str__(self): - """Color model and values.""" - return self.__repr__() - - - def convert_to(self,toModel = 'RGB'): - """ - Change the color model permanently. - - Parameters - ---------- - toModel : string - color model - - """ - toModel = toModel.upper() - if toModel not in list(self.__transforms__.keys()): return - - sourcePos = self.__transforms__[self.model]['index'] - targetPos = self.__transforms__[toModel]['index'] - - while sourcePos < targetPos: - self.__transforms__[self.model]['next']() - sourcePos += 1 - - while sourcePos > targetPos: - self.__transforms__[self.model]['prev']() - sourcePos -= 1 - return self - - - def express_as(self,asModel = 'RGB'): - """ - Return the color in a different model. - - Parameters - ---------- - asModel : string - color model - - """ - return self.__class__(self.model,self.color).convert_to(asModel) - - - def _HSV2HSL(self): - """ - Convert H(ue) S(aturation) V(alue or brightness) to H(ue) S(aturation) L(uminance). - - All values are in the range [0,1] - http://codeitdown.com/hsl-hsb-hsv-color - """ - if self.model != 'HSV': return - - converted = Color('HSL',np.array([ - self.color[0], - 1. if self.color[2] == 0.0 or (self.color[1] == 0.0 and self.color[2] == 1.0) \ - else self.color[1]*self.color[2]/(1.-abs(self.color[2]*(2.-self.color[1])-1.)), - 0.5*self.color[2]*(2.-self.color[1]), - ])) - - self.model = converted.model - self.color = converted.color - - - def _HSL2HSV(self): - """ - Convert H(ue) S(aturation) L(uminance) to H(ue) S(aturation) V(alue or brightness). - - All values are in the range [0,1] - http://codeitdown.com/hsl-hsb-hsv-color - """ - if self.model != 'HSL': return - - h = self.color[0] - b = self.color[2]+0.5*(self.color[1]*(1.-abs(2*self.color[2]-1))) - s = 1.0 if b == 0.0 else 2.*(b-self.color[2])/b - - converted = Color('HSV',np.array([h,s,b])) - - self.model = converted.model - self.color = converted.color - - - def _HSL2RGB(self): - """ - Convert H(ue) S(aturation) L(uminance) to R(red) G(reen) B(lue). - - All values are in the range [0,1] - from http://en.wikipedia.org/wiki/HSL_and_HSV - """ - if self.model != 'HSL': return - - sextant = self.color[0]*6.0 - c = (1.0 - abs(2.0 * self.color[2] - 1.0))*self.color[1] - x = c*(1.0 - abs(sextant%2 - 1.0)) - m = self.color[2] - 0.5*c - - converted = Color('RGB',np.array([ - [c+m, x+m, m], - [x+m, c+m, m], - [m, c+m, x+m], - [m, x+m, c+m], - [x+m, m, c+m], - [c+m, m, x+m], - ][int(sextant)])) - self.model = converted.model - self.color = converted.color - - - def _RGB2HSL(self): - """ - Convert R(ed) G(reen) B(lue) to H(ue) S(aturation) L(uminance). - - All values are in the range [0,1] - from http://130.113.54.154/~monger/hsl-rgb.html - """ - if self.model != 'RGB': return - - HSL = np.zeros(3) - maxcolor = self.color.max() - mincolor = self.color.min() - HSL[2] = (maxcolor + mincolor)/2.0 - if(mincolor == maxcolor): - HSL[0] = 0.0 - HSL[1] = 0.0 - else: - if (HSL[2]<0.5): - HSL[1] = (maxcolor - mincolor)/(maxcolor + mincolor) - else: - HSL[1] = (maxcolor - mincolor)/(2.0 - maxcolor - mincolor) - if (maxcolor == self.color[0]): - HSL[0] = 0.0 + (self.color[1] - self.color[2])/(maxcolor - mincolor) - elif (maxcolor == self.color[1]): - HSL[0] = 2.0 + (self.color[2] - self.color[0])/(maxcolor - mincolor) - elif (maxcolor == self.color[2]): - HSL[0] = 4.0 + (self.color[0] - self.color[1])/(maxcolor - mincolor) - HSL[0] = HSL[0]*60.0 # scaling to 360 might be dangerous for small values - if (HSL[0] < 0.0): - HSL[0] = HSL[0] + 360.0 - HSL[1:] = np.clip(HSL[1:],0.0,1.0) - - converted = Color('HSL', HSL) - self.model = converted.model - self.color = converted.color - - - def _RGB2XYZ(self): - """ - Convert R(ed) G(reen) B(lue) to CIE XYZ. - - All values are in the range [0,1] - from http://www.cs.rit.edu/~ncs/color/t_convert.html - """ - if self.model != 'RGB': return - - XYZ = np.zeros(3) - RGB_lin = np.zeros(3) - convert = np.array([[0.412453,0.357580,0.180423], - [0.212671,0.715160,0.072169], - [0.019334,0.119193,0.950227]]) - - for i in range(3): - if (self.color[i] > 0.04045): RGB_lin[i] = ((self.color[i]+0.0555)/1.0555)**2.4 - else: RGB_lin[i] = self.color[i] /12.92 - XYZ = np.dot(convert,RGB_lin) - XYZ = np.clip(XYZ,0.0,None) - - converted = Color('XYZ', XYZ) - self.model = converted.model - self.color = converted.color - - - def _XYZ2RGB(self): - """ - Convert CIE XYZ to R(ed) G(reen) B(lue). - - All values are in the range [0,1] - from http://www.cs.rit.edu/~ncs/color/t_convert.html - """ - if self.model != 'XYZ': return - - convert = np.array([[ 3.240479,-1.537150,-0.498535], - [-0.969256, 1.875992, 0.041556], - [ 0.055648,-0.204043, 1.057311]]) - RGB_lin = np.dot(convert,self.color) - RGB = np.zeros(3) - - for i in range(3): - if (RGB_lin[i] > 0.0031308): RGB[i] = ((RGB_lin[i])**(1.0/2.4))*1.0555-0.0555 - else: RGB[i] = RGB_lin[i] *12.92 - - RGB = np.clip(RGB,0.0,1.0) - - maxVal = max(RGB) # clipping colors according to the display gamut - if (maxVal > 1.0): RGB /= maxVal - - converted = Color('RGB', RGB) - self.model = converted.model - self.color = converted.color - - - def _CIELAB2XYZ(self): - """ - Convert CIE Lab to CIE XYZ. - - All values are in the range [0,1] - from http://www.easyrgb.com/index.php?X=MATH&H=07#text7 - """ - if self.model != 'CIELAB': return - - ref_white = np.array([.95047, 1.00000, 1.08883]) # Observer = 2, Illuminant = D65 - XYZ = np.zeros(3) - - XYZ[1] = (self.color[0] + 16.0 ) / 116.0 - XYZ[0] = XYZ[1] + self.color[1]/ 500.0 - XYZ[2] = XYZ[1] - self.color[2]/ 200.0 - - for i in range(len(XYZ)): - if (XYZ[i] > 6./29. ): XYZ[i] = XYZ[i]**3. - else: XYZ[i] = 108./841. * (XYZ[i] - 4./29.) - - converted = Color('XYZ', XYZ*ref_white) - self.model = converted.model - self.color = converted.color - - - def _XYZ2CIELAB(self): - """ - Convert CIE XYZ to CIE Lab. - - All values are in the range [0,1] - from http://en.wikipedia.org/wiki/Lab_color_space, - http://www.cs.rit.edu/~ncs/color/t_convert.html - """ - if self.model != 'XYZ': return - - ref_white = np.array([.95047, 1.00000, 1.08883]) # Observer = 2, Illuminant = D65 - XYZ = self.color/ref_white - - for i in range(len(XYZ)): - if (XYZ[i] > 216./24389 ): XYZ[i] = XYZ[i]**(1.0/3.0) - else: XYZ[i] = (841./108. * XYZ[i]) + 16.0/116.0 - - converted = Color('CIELAB', np.array([ 116.0 * XYZ[1] - 16.0, - 500.0 * (XYZ[0] - XYZ[1]), - 200.0 * (XYZ[1] - XYZ[2]) ])) - self.model = converted.model - self.color = converted.color - - - def _CIELAB2MSH(self): - """ - Convert CIE Lab to Msh colorspace. - - from http://www.cs.unm.edu/~kmorel/documents/ColorMaps/DivergingColorMapWorkshop.xls - """ - if self.model != 'CIELAB': return - - Msh = np.zeros(3) - Msh[0] = np.sqrt(np.dot(self.color,self.color)) - if (Msh[0] > 0.001): - Msh[1] = np.arccos(self.color[0]/Msh[0]) - if (self.color[1] != 0.0): - Msh[2] = np.arctan2(self.color[2],self.color[1]) - - converted = Color('MSH', Msh) - self.model = converted.model - self.color = converted.color - - - def _MSH2CIELAB(self): - """ - Convert Msh colorspace to CIE Lab. - - with s,h in radians - from http://www.cs.unm.edu/~kmorel/documents/ColorMaps/DivergingColorMapWorkshop.xls - """ - if self.model != 'MSH': return - - Lab = np.zeros(3) - Lab[0] = self.color[0] * np.cos(self.color[1]) - Lab[1] = self.color[0] * np.sin(self.color[1]) * np.cos(self.color[2]) - Lab[2] = self.color[0] * np.sin(self.color[1]) * np.sin(self.color[2]) - - converted = Color('CIELAB', Lab) - self.model = converted.model - self.color = converted.color - - -class Colormap: - """Perceptually uniform diverging or sequential colormap.""" - - __slots__ = [ - 'left', - 'right', - 'interpolate', - ] - __predefined__ = { - 'gray': {'left': Color('HSL',[0,1,1]), - 'right': Color('HSL',[0,0,0.15]), - 'interpolate': 'perceptualuniform'}, - 'grey': {'left': Color('HSL',[0,1,1]), - 'right': Color('HSL',[0,0,0.15]), - 'interpolate': 'perceptualuniform'}, - 'red': {'left': Color('HSL',[0,1,0.14]), - 'right': Color('HSL',[0,0.35,0.91]), - 'interpolate': 'perceptualuniform'}, - 'green': {'left': Color('HSL',[0.33333,1,0.14]), - 'right': Color('HSL',[0.33333,0.35,0.91]), - 'interpolate': 'perceptualuniform'}, - 'blue': {'left': Color('HSL',[0.66,1,0.14]), - 'right': Color('HSL',[0.66,0.35,0.91]), - 'interpolate': 'perceptualuniform'}, - 'seaweed': {'left': Color('HSL',[0.78,1.0,0.1]), - 'right': Color('HSL',[0.40000,0.1,0.9]), - 'interpolate': 'perceptualuniform'}, - 'bluebrown': {'left': Color('HSL',[0.65,0.53,0.49]), - 'right': Color('HSL',[0.11,0.75,0.38]), - 'interpolate': 'perceptualuniform'}, - 'redgreen': {'left': Color('HSL',[0.97,0.96,0.36]), - 'right': Color('HSL',[0.33333,1.0,0.14]), - 'interpolate': 'perceptualuniform'}, - 'bluered': {'left': Color('HSL',[0.65,0.53,0.49]), - 'right': Color('HSL',[0.97,0.96,0.36]), - 'interpolate': 'perceptualuniform'}, - 'blueredrainbow':{'left': Color('HSL',[2.0/3.0,1,0.5]), - 'right': Color('HSL',[0,1,0.5]), - 'interpolate': 'linear' }, - 'orientation': {'left': Color('RGB',[0.933334,0.878432,0.878431]), - 'right': Color('RGB',[0.250980,0.007843,0.000000]), - 'interpolate': 'perceptualuniform'}, - 'strain': {'left': Color('RGB',[0.941177,0.941177,0.870588]), - 'right': Color('RGB',[0.266667,0.266667,0.000000]), - 'interpolate': 'perceptualuniform'}, - 'stress': {'left': Color('RGB',[0.878432,0.874511,0.949019]), - 'right': Color('RGB',[0.000002,0.000000,0.286275]), - 'interpolate': 'perceptualuniform'}, - } - - - def __init__(self, - left = Color('RGB',[1,1,1]), - right = Color('RGB',[0,0,0]), - interpolate = 'perceptualuniform', - predefined = None - ): - """ - Create a Colormap object. - - Parameters - ---------- - left : Color - left color (minimum value) - right : Color - right color (maximum value) - interpolate : str - interpolation scheme (either 'perceptualuniform' or 'linear') - predefined : bool - ignore other arguments and use predefined definition - - """ - if predefined is not None: - left = self.__predefined__[predefined.lower()]['left'] - right= self.__predefined__[predefined.lower()]['right'] - interpolate = self.__predefined__[predefined.lower()]['interpolate'] - - if left.__class__.__name__ != 'Color': - left = Color() - if right.__class__.__name__ != 'Color': - right = Color() - - self.left = left - self.right = right - self.interpolate = interpolate - - - def __repr__(self): - """Left and right value of colormap.""" - return 'Left: %s Right: %s'%(self.left,self.right) - - - def invert(self): - """Switch left/minimum with right/maximum.""" - (self.left, self.right) = (self.right, self.left) - return self - - - def show_predefined(self): - """Show the labels of the predefined colormaps.""" - print('\n'.join(self.__predefined__.keys())) - - def color(self,fraction = 0.5): - - def interpolate_Msh(lo, hi, frac): - - def rad_diff(a,b): - return abs(a[2]-b[2]) - - def adjust_hue(Msh_sat, Msh_unsat): - """If saturation of one of the two colors is too less than the other, hue of the less.""" - if Msh_sat[0] >= Msh_unsat[0]: - return Msh_sat[2] - else: - hSpin = Msh_sat[1]/np.sin(Msh_sat[1])*np.sqrt(Msh_unsat[0]**2.0-Msh_sat[0]**2)/Msh_sat[0] - if Msh_sat[2] < - np.pi/3.0: hSpin *= -1.0 - return Msh_sat[2] + hSpin - - Msh1 = np.array(lo[:]) - Msh2 = np.array(hi[:]) - - if (Msh1[1] > 0.05 and Msh2[1] > 0.05 and rad_diff(Msh1,Msh2) > np.pi/3.0): - M_mid = max(Msh1[0],Msh2[0],88.0) - if frac < 0.5: - Msh2 = np.array([M_mid,0.0,0.0]) - frac *= 2.0 - else: - Msh1 = np.array([M_mid,0.0,0.0]) - frac = 2.0*frac - 1.0 - if Msh1[1] < 0.05 and Msh2[1] > 0.05: Msh1[2] = adjust_hue(Msh2,Msh1) - elif Msh1[1] > 0.05 and Msh2[1] < 0.05: Msh2[2] = adjust_hue(Msh1,Msh2) - Msh = (1.0 - frac) * Msh1 + frac * Msh2 - - return Color('MSH',Msh) - - def interpolate_linear(lo, hi, frac): - """Linear interpolation between lo and hi color at given fraction; output in model of lo color.""" - interpolation = (1.0 - frac) * np.array(lo.color[:]) \ - + frac * np.array(hi.express_as(lo.model).color[:]) - - return Color(lo.model,interpolation) - - if self.interpolate == 'perceptualuniform': - return interpolate_Msh(self.left.express_as('MSH').color, - self.right.express_as('MSH').color,fraction) - elif self.interpolate == 'linear': - return interpolate_linear(self.left,self.right,fraction) - else: - raise NameError('unknown color interpolation method') - - - def export(self,name = 'uniformPerceptualColorMap',\ - format = 'paraview',\ - steps = 2,\ - crop = [-1.0,1.0], - model = 'RGB'): - """ - [RGB] colormap for use in paraview or gmsh, or as raw string, or array. - - Arguments: name, format, steps, crop. - Format is one of (paraview, gmsh, raw, list). - Crop selects a (sub)range in [-1.0,1.0]. - Generates sequential map if one limiting color is either white or black, - diverging map otherwise. - """ - format = format.lower() # consistent comparison basis - frac = 0.5*(np.array(crop) + 1.0) # rescale crop range to fractions - colors = [self.color(float(i)/(steps-1)*(frac[1]-frac[0])+frac[0]).express_as(model).color for i in range(steps)] - if format == 'paraview': - colormap = ['[\n {{\n "ColorSpace": "RGB", "Name": "{}", "DefaultMap": true,\n "RGBPoints" : ['.format(name)] \ - + [' {:4d},{:8.6f},{:8.6f},{:8.6f},'.format(i,color[0],color[1],color[2],) \ - for i,color in enumerate(colors[:-1])] \ - + [' {:4d},{:8.6f},{:8.6f},{:8.6f} '.format(len(colors),colors[-1][0],colors[-1][1],colors[-1][2],)] \ - + [' ]\n }\n]'] - - elif format == 'gmsh': - colormap = ['View.ColorTable = {'] \ - + [',\n'.join(['{%s}'%(','.join([str(x*255.0) for x in color])) for color in colors])] \ - + ['}'] - - elif format == 'gom': - colormap = ['1 1 ' + str(name) - + ' 9 ' + str(name) - + ' 0 1 0 3 0 0 -1 9 \\ 0 0 0 255 255 255 0 0 255 ' - + '30 NO_UNIT 1 1 64 64 64 255 1 0 0 0 0 0 0 3 0 ' + str(len(colors)) - + ' '.join([' 0 %s 255 1'%(' '.join([str(int(x*255.0)) for x in color])) for color in reversed(colors)])] - - elif format == 'raw': - colormap = ['\t'.join(map(str,color)) for color in colors] - - elif format == 'list': - colormap = colors - - else: - raise NameError('unknown color export format') - - return '\n'.join(colormap) + '\n' if type(colormap[0]) is str else colormap diff --git a/python/damask/_config.py b/python/damask/_config.py new file mode 100644 index 000000000..24245f4bd --- /dev/null +++ b/python/damask/_config.py @@ -0,0 +1,99 @@ +from io import StringIO +import abc + +import numpy as np +import yaml + +class NiceDumper(yaml.SafeDumper): + """Make YAML readable for humans.""" + + def write_line_break(self, data=None): + super().write_line_break(data) + + if len(self.indents) == 1: + super().write_line_break() + + def increase_indent(self, flow=False, indentless=False): + return super().increase_indent(flow, False) + + def represent_data(self, data): + """Cast Config objects and its subclasses to dict.""" + return self.represent_data(dict(data)) if isinstance(data, dict) and type(data) != dict else \ + super().represent_data(data) + + +class Config(dict): + """YAML-based configuration.""" + + def __repr__(self): + """Show as in file.""" + output = StringIO() + self.save(output) + output.seek(0) + return ''.join(output.readlines()) + + @classmethod + def load(cls,fname): + """ + Load from yaml file. + + Parameters + ---------- + fname : file, str, or pathlib.Path + Filename or file for writing. + + """ + try: + fhandle = open(fname) + except TypeError: + fhandle = fname + return cls(yaml.safe_load(fhandle)) + + def save(self,fname,**kwargs): + """ + Save to yaml file. + + Parameters + ---------- + fname : file, str, or pathlib.Path + Filename or file for writing. + **kwargs : dict + Keyword arguments parsed to yaml.dump. + + """ + try: + fhandle = open(fname,'w') + except TypeError: + fhandle = fname + + if 'width' not in kwargs: + kwargs['width'] = 256 + if 'default_flow_style' not in kwargs: + kwargs['default_flow_style'] = None + if 'sort_keys' not in kwargs: + kwargs['sort_keys'] = False + + def array_representer(dumper, data): + """Convert numpy array to list of native types.""" + return dumper.represent_list([d.item() for d in data]) + + NiceDumper.add_representer(np.ndarray, array_representer) + + try: + fhandle.write(yaml.dump(self,Dumper=NiceDumper,**kwargs)) + except TypeError: # compatibility with old pyyaml + del kwargs['sort_keys'] + fhandle.write(yaml.dump(self,Dumper=NiceDumper,**kwargs)) + + + @property + @abc.abstractmethod + def is_complete(self): + """Check for completeness.""" + pass + + @property + @abc.abstractmethod + def is_valid(self): + """Check for valid file layout.""" + pass diff --git a/python/damask/_configmaterial.py b/python/damask/_configmaterial.py new file mode 100644 index 000000000..ed45f2662 --- /dev/null +++ b/python/damask/_configmaterial.py @@ -0,0 +1,288 @@ +import copy + +import numpy as np + +from . import Config +from . import Lattice +from . import Rotation + +class ConfigMaterial(Config): + """Material configuration.""" + + def save(self,fname='material.yaml',**kwargs): + """ + Save to yaml file. + + Parameters + ---------- + fname : file, str, or pathlib.Path, optional + Filename or file for writing. Defaults to 'material.yaml'. + **kwargs + Keyword arguments parsed to yaml.dump. + + """ + super().save(fname,**kwargs) + + + @staticmethod + def from_table(table,constituents={},**kwargs): + """ + Load from an ASCII table. + + Parameters + ---------- + table : damask.Table + Table that contains material information. + constituents : dict, optional + Entries for 'constituents'. The key is the name and the value specifies + the label of the data column in the table + **kwargs + Keyword arguments where the key is the name and the value specifies + the label of the data column in the table + + Examples + -------- + >>> import damask + >>> import damask.ConfigMaterial as cm + >>> t = damask.Table.load('small.txt') + >>> t + pos pos pos qu qu qu qu phase homog + 0 0 0 0 0.19 0.8 0.24 -0.51 Aluminum SX + 1 1 0 0 0.8 0.19 0.24 -0.51 Steel SX + >>> cm.from_table(t,{'O':'qu','phase':'phase'},homogenization='homog') + material: + - constituents: + - O: [0.19, 0.8, 0.24, -0.51] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.8, 0.19, 0.24, -0.51] + fraction: 1.0 + phase: Steel + homogenization: SX + + """ + constituents_ = {k:table.get(v) for k,v in constituents.items()} + kwargs_ = {k:table.get(v) for k,v in kwargs.items()} + + _,idx = np.unique(np.hstack(list({**constituents_,**kwargs_}.values())),return_index=True,axis=0) + + idx = np.sort(idx) + constituents_ = {k:np.atleast_1d(v[idx].squeeze()) for k,v in constituents_.items()} + kwargs_ = {k:np.atleast_1d(v[idx].squeeze()) for k,v in kwargs_.items()} + + return ConfigMaterial().material_add(constituents_,**kwargs_) + + + @property + def is_complete(self): + """Check for completeness.""" + ok = True + for top_level in ['homogenization','phase','material']: + # ToDo: With python 3.8 as prerequisite we can shorten with := + ok &= top_level in self + if top_level not in self: print(f'{top_level} entry missing') + + if ok: + ok &= len(self['material']) > 0 + if len(self['material']) < 1: print('Incomplete material definition') + + if ok: + homogenization = set() + phase = set() + for i,v in enumerate(self['material']): + if 'homogenization' in v: + homogenization.add(v['homogenization']) + else: + print(f'No homogenization specified in material {i}') + ok = False + + if 'constituents' in v: + for ii,vv in enumerate(v['constituents']): + if 'O' not in vv: + print('No orientation specified in constituent {ii} of material {i}') + ok = False + if 'phase' in vv: + phase.add(vv['phase']) + else: + print(f'No phase specified in constituent {ii} of material {i}') + ok = False + + for k,v in self['phase'].items(): + if 'lattice' not in v: + print(f'No lattice specified in phase {k}') + ok = False + + for k,v in self['homogenization'].items(): + if 'N_constituents' not in v: + print(f'No. of constituents not specified in homogenization {k}') + ok = False + + if phase - set(self['phase']): + print(f'Phase(s) {phase-set(self["phase"])} missing') + ok = False + if homogenization - set(self['homogenization']): + print(f'Homogenization(s) {homogenization-set(self["homogenization"])} missing') + ok = False + + return ok + + + @property + def is_valid(self): + """Check for valid file layout.""" + ok = True + + if 'phase' in self: + for k,v in self['phase'].items(): + if 'lattice' in v: + try: + Lattice(v['lattice']) + except KeyError: + s = v['lattice'] + print(f"Invalid lattice: '{s}' in phase '{k}'") + ok = False + + if 'material' in self: + for i,v in enumerate(self['material']): + if 'constituents' in v: + f = 0.0 + for c in v['constituents']: + f+= float(c['fraction']) + if 'O' in c: + try: + Rotation.from_quaternion(c['O']) + except ValueError: + o = c['O'] + print(f"Invalid orientation: '{o}' in material '{i}'") + ok = False + if not np.isclose(f,1.0): + print(f"Invalid total fraction '{f}' in material '{i}'") + ok = False + + return ok + + + def material_rename_phase(self,mapping,ID=None,constituent=None): + """ + Change phase name in material. + + Parameters + ---------- + mapping: dictionary + Mapping from old name to new name + ID: list of ints, optional + Limit renaming to selected material IDs. + constituent: list of ints, optional + Limit renaming to selected constituents. + + """ + dup = copy.deepcopy(self) + for i,m in enumerate(dup['material']): + if ID and i not in ID: continue + for c in m['constituents']: + if constituent is not None and c not in constituent: continue + try: + c['phase'] = mapping[c['phase']] + except KeyError: + continue + return dup + + + def material_rename_homogenization(self,mapping,ID=None): + """ + Change homogenization name in material. + + Parameters + ---------- + mapping: dictionary + Mapping from old name to new name + ID: list of ints, optional + Limit renaming to selected homogenization IDs. + + """ + dup = copy.deepcopy(self) + for i,m in enumerate(dup['material']): + if ID and i not in ID: continue + try: + m['homogenization'] = mapping[m['homogenization']] + except KeyError: + continue + return dup + + + def material_add(self,constituents,**kwargs): + """ + Add material entries. + + Parameters + ---------- + constituents : dict + Entries for 'constituents' as key-value pair. + **kwargs + Key-value pairs. + + Examples + -------- + >>> import damask + >>> O = damask.Rotation.from_random(3).as_quaternion() + >>> phase = ['Aluminum','Steel','Aluminum'] + >>> m = damask.ConfigMaterial().material_add(constituents={'phase':phase,'O':O}, + ... homogenization='SX') + >>> m + material: + - constituents: + - O: [0.577764, -0.146299, -0.617669, 0.513010] + fraction: 1.0 + phase: Aluminum + homogenization: SX + - constituents: + - O: [0.184176, 0.340305, 0.737247, 0.553840] + fraction: 1.0 + phase: Steel + homogenization: SX + - constituents: + - O: [0.0886257, -0.144848, 0.615674, -0.769487] + fraction: 1.0 + phase: Aluminum + homogenization: SX + + """ + c = [{'constituents':u} for u in ConfigMaterial._constituents(**constituents)] + for k,v in kwargs.items(): + if hasattr(v,'__len__') and not isinstance(v,str): + if len(v) != len(c): + raise ValueError('Cannot add entries of different length') + for i,vv in enumerate(v): + c[i][k] = [w.item() for w in vv] if isinstance(vv,np.ndarray) else vv.item() + else: + for i in range(len(c)): + c[i][k] = v + dup = copy.deepcopy(self) + dup['material'] = dup['material'] + c if 'material' in dup else c + + return dup + + + @staticmethod + def _constituents(N=1,**kwargs): + """Construct list of constituents.""" + N_material=1 + for v in kwargs.values(): + if hasattr(v,'__len__') and not isinstance(v,str): N_material = len(v) + + if N == 1: + m = [[{'fraction':1.0}] for _ in range(N_material)] + for k,v in kwargs.items(): + if hasattr(v,'__len__') and not isinstance(v,str): + if len(v) != N_material: + raise ValueError('Cannot add entries of different length') + for i,vv in enumerate(np.array(v)): + m[i][0][k] = [w.item() for w in vv] if isinstance(vv,np.ndarray) else vv.item() + else: + for i in range(N_material): + m[i][0][k] = v + return m + else: + raise NotImplementedError diff --git a/python/damask/_environment.py b/python/damask/_environment.py index df690314c..9983a91aa 100644 --- a/python/damask/_environment.py +++ b/python/damask/_environment.py @@ -1,36 +1,50 @@ import os -import tkinter +from pathlib import Path class Environment: def __init__(self): - """Read and provide values of DAMASK configuration.""" - self.options = self._get_options() + """Do Nothing.""" + pass + + @property + def screen_size(self): + width = 1024 + height = 768 try: - tk = tkinter.Tk() - self.screen_width = tk.winfo_screenwidth() - self.screen_height = tk.winfo_screenheight() - tk.destroy() - except tkinter.TclError: - self.screen_width = 1024 - self.screen_height = 768 - - def relPath(self,relative = '.'): - """Return absolute path from path relative to DAMASK root.""" - return os.path.join(self.rootDir(),relative) + import wx + _ = wx.App(False) # noqa + width, height = wx.GetDisplaySize() + except ImportError: + try: + import tkinter + tk = tkinter.Tk() + width = tk.winfo_screenwidth() + height = tk.winfo_screenheight() + tk.destroy() + except Exception as e: + pass + return (width,height) - def rootDir(self): - """Return DAMASK root path.""" - return os.path.normpath(os.path.join(os.path.realpath(__file__),'../../../')) - - - def _get_options(self): + @property + def options(self): options = {} for item in ['DAMASK_NUM_THREADS', 'MSC_ROOT', - 'MARC_VERSION', + 'MSC_VERSION', ]: options[item] = os.environ[item] if item in os.environ else None return options + + + @property + def root_dir(self): + """Return DAMASK root path.""" + return Path(__file__).parents[2] + + + # for compatibility + def rootDir(self): + return str(self.root_dir) diff --git a/python/damask/_geom.py b/python/damask/_geom.py index 892000b7c..d3b375bf6 100644 --- a/python/damask/_geom.py +++ b/python/damask/_geom.py @@ -1,279 +1,160 @@ -import sys -from io import StringIO -import multiprocessing +import copy +import multiprocessing as mp from functools import partial +from os import path import numpy as np +import pandas as pd +import h5py from scipy import ndimage,spatial +from . import environment from . import VTK from . import util -from . import Environment from . import grid_filters +from . import Rotation class Geom: """Geometry definition for grid solvers.""" - def __init__(self,microstructure,size,origin=[0.0,0.0,0.0],homogenization=1,comments=[]): + def __init__(self,material,size,origin=[0.0,0.0,0.0],comments=[]): """ - New geometry definition from array of microstructures and size. + New geometry definition from array of material, size, and origin. Parameters ---------- - microstructure : numpy.ndarray - microstructure array (3D) + material : numpy.ndarray + Material index array (3D). size : list or numpy.ndarray - physical size of the microstructure in meter. + Physical size of the geometry in meter. origin : list or numpy.ndarray, optional - physical origin of the microstructure in meter. - homogenization : integer, optional - homogenization index. + Physical origin of the geometry in meter. comments : list of str, optional - comments lines. + Comment lines. """ - self.set_microstructure(microstructure) - self.set_size(size) - self.set_origin(origin) - self.set_homogenization(homogenization) - self.set_comments(comments) + if len(material.shape) != 3: + raise ValueError(f'Invalid material shape {material.shape}.') + elif material.dtype not in np.sctypes['float'] + np.sctypes['int']: + raise TypeError(f'Invalid material data type {material.dtype}.') + else: + self.material = np.copy(material) + + if self.material.dtype in np.sctypes['float'] and \ + np.all(self.material == self.material.astype(int).astype(float)): + self.material = self.material.astype(int) + + if len(size) != 3 or any(np.array(size) <= 0): + raise ValueError(f'Invalid size {size}.') + else: + self.size = np.array(size) + + if len(origin) != 3: + raise ValueError(f'Invalid origin {origin}.') + else: + self.origin = np.array(origin) + + self.comments = [str(c) for c in comments] if isinstance(comments,list) else [str(comments)] def __repr__(self): """Basic information on geometry definition.""" return util.srepr([ - 'grid a b c: {}'.format(' x '.join(map(str,self.get_grid ()))), - 'size x y z: {}'.format(' x '.join(map(str,self.get_size ()))), - 'origin x y z: {}'.format(' '.join(map(str,self.get_origin()))), - 'homogenization: {}'.format(self.get_homogenization()), - '# microstructures: {}'.format(len(np.unique(self.microstructure))), - 'max microstructure: {}'.format(np.nanmax(self.microstructure)), + f'grid a b c: {util.srepr(self.grid, " x ")}', + f'size x y z: {util.srepr(self.size, " x ")}', + f'origin x y z: {util.srepr(self.origin," ")}', + f'# materials: {self.N_materials}', + f'max material: {np.nanmax(self.material)}', ]) - def update(self,microstructure=None,size=None,origin=None,rescale=False): + def __copy__(self): + """Copy geometry.""" + return copy.deepcopy(self) + + + def copy(self): + """Copy geometry.""" + return self.__copy__() + + + def diff(self,other): """ - Update microstructure and size. + Report property differences of self relative to other. Parameters ---------- - microstructure : numpy.ndarray, optional - microstructure array (3D). - size : list or numpy.ndarray, optional - physical size of the microstructure in meter. - origin : list or numpy.ndarray, optional - physical origin of the microstructure in meter. - rescale : bool, optional - ignore size parameter and rescale according to change of grid points. + other : Geom + Geometry to compare self against. """ - grid_old = self.get_grid() - size_old = self.get_size() - origin_old = self.get_origin() - unique_old = len(np.unique(self.microstructure)) - max_old = np.nanmax(self.microstructure) + message = [] + if np.any(other.grid != self.grid): + message.append(util.delete(f'grid a b c: {util.srepr(other.grid," x ")}')) + message.append(util.emph( f'grid a b c: {util.srepr( self.grid," x ")}')) - if size is not None and rescale: - raise ValueError('Either set size explicitly or rescale automatically') + if not np.allclose(other.size,self.size): + message.append(util.delete(f'size x y z: {util.srepr(other.size," x ")}')) + message.append(util.emph( f'size x y z: {util.srepr( self.size," x ")}')) - self.set_microstructure(microstructure) - self.set_origin(origin) + if not np.allclose(other.origin,self.origin): + message.append(util.delete(f'origin x y z: {util.srepr(other.origin," ")}')) + message.append(util.emph( f'origin x y z: {util.srepr( self.origin," ")}')) - if size is not None: - self.set_size(size) - elif rescale: - self.set_size(self.get_grid()/grid_old*self.size) + if other.N_materials != self.N_materials: + message.append(util.delete(f'# materials: {other.N_materials}')) + message.append(util.emph( f'# materials: { self.N_materials}')) - message = ['grid a b c: {}'.format(' x '.join(map(str,grid_old)))] - if np.any(grid_old != self.get_grid()): - message[-1] = util.delete(message[-1]) - message.append(util.emph('grid a b c: {}'.format(' x '.join(map(str,self.get_grid()))))) - - message.append('size x y z: {}'.format(' x '.join(map(str,size_old)))) - if np.any(size_old != self.get_size()): - message[-1] = util.delete(message[-1]) - message.append(util.emph('size x y z: {}'.format(' x '.join(map(str,self.get_size()))))) - - message.append('origin x y z: {}'.format(' '.join(map(str,origin_old)))) - if np.any(origin_old != self.get_origin()): - message[-1] = util.delete(message[-1]) - message.append(util.emph('origin x y z: {}'.format(' '.join(map(str,self.get_origin()))))) - - message.append('homogenization: {}'.format(self.get_homogenization())) - - message.append('# microstructures: {}'.format(unique_old)) - if unique_old != len(np.unique(self.microstructure)): - message[-1] = util.delete(message[-1]) - message.append(util.emph('# microstructures: {}'.format(len(np.unique(self.microstructure))))) - - message.append('max microstructure: {}'.format(max_old)) - if max_old != np.nanmax(self.microstructure): - message[-1] = util.delete(message[-1]) - message.append(util.emph('max microstructure: {}'.format(np.nanmax(self.microstructure)))) + if np.nanmax(other.material) != np.nanmax(self.material): + message.append(util.delete(f'max material: {np.nanmax(other.material)}')) + message.append(util.emph( f'max material: {np.nanmax( self.material)}')) return util.return_message(message) - def set_comments(self,comments): - """ - Replace all existing comments. - - Parameters - ---------- - comments : list of str - new comments. - - """ - self.comments = [] - self.add_comments(comments) - - - def add_comments(self,comments): - """ - Append comments to existing comments. - - Parameters - ---------- - comments : list of str - new comments. - - """ - self.comments += [str(c) for c in comments] if isinstance(comments,list) else [str(comments)] - - - def set_microstructure(self,microstructure): - """ - Replace the existing microstructure representation. - - Parameters - ---------- - microstructure : numpy.ndarray - microstructure array (3D). - - """ - if microstructure is not None: - if len(microstructure.shape) != 3: - raise ValueError('Invalid microstructure shape {}'.format(microstructure.shape)) - elif microstructure.dtype not in np.sctypes['float'] + np.sctypes['int']: - raise TypeError('Invalid data type {} for microstructure'.format(microstructure.dtype)) - else: - self.microstructure = np.copy(microstructure) - - - def set_size(self,size): - """ - Replace the existing size information. - - Parameters - ---------- - size : list or numpy.ndarray - physical size of the microstructure in meter. - - """ - if size is None: - grid = np.asarray(self.microstructure.shape) - self.size = grid/np.max(grid) - else: - if len(size) != 3 or any(np.array(size)<=0): - raise ValueError('Invalid size {}'.format(size)) - else: - self.size = np.array(size) - - - def set_origin(self,origin): - """ - Replace the existing origin information. - - Parameters - ---------- - origin : list or numpy.ndarray - physical origin of the microstructure in meter - - """ - if origin is not None: - if len(origin) != 3: - raise ValueError('Invalid origin {}'.format(origin)) - else: - self.origin = np.array(origin) - - - def set_homogenization(self,homogenization): - """ - Replace the existing homogenization index. - - Parameters - ---------- - homogenization : integer - homogenization index - - """ - if homogenization is not None: - if not isinstance(homogenization,int) or homogenization < 1: - raise TypeError('Invalid homogenization {}'.format(homogenization)) - else: - self.homogenization = homogenization - - @property def grid(self): - return self.get_grid() + return np.asarray(self.material.shape) @property - def N_microstructure(self): - return len(np.unique(self.microstructure)) - - - def get_microstructure(self): - """Return the microstructure representation.""" - return np.copy(self.microstructure) - - - def get_size(self): - """Return the physical size in meter.""" - return np.copy(self.size) - - - def get_origin(self): - """Return the origin in meter.""" - return np.copy(self.origin) - - - def get_grid(self): - """Return the grid discretization.""" - return np.array(self.microstructure.shape) - - - def get_homogenization(self): - """Return the homogenization index.""" - return self.homogenization - - - def get_comments(self): - """Return the comments.""" - return self.comments[:] - - - def get_header(self): - """Return the full header (grid, size, origin, homogenization, comments).""" - header = ['{} header'.format(len(self.comments)+4)] + self.comments - header.append('grid a {} b {} c {}'.format(*self.get_grid())) - header.append('size x {} y {} z {}'.format(*self.get_size())) - header.append('origin x {} y {} z {}'.format(*self.get_origin())) - header.append('homogenization {}'.format(self.get_homogenization())) - return header + def N_materials(self): + return np.unique(self.material).size @staticmethod - def from_file(fname): + def load(fname): + """ + Read a VTK rectilinear grid. + + Parameters + ---------- + fname : str or or pathlib.Path + Geometry file to read. + Valid extension is .vtr, it will be appended if not given. + + """ + v = VTK.load(fname if str(fname).endswith('.vtr') else str(fname)+'.vtr') + comments = v.get_comments() + grid = np.array(v.vtk_data.GetDimensions())-1 + bbox = np.array(v.vtk_data.GetBounds()).reshape(3,2).T + + return Geom(material = v.get('material').reshape(grid,order='F'), + size = bbox[1] - bbox[0], + origin = bbox[0], + comments=comments) + + + @staticmethod + def load_ASCII(fname): """ Read a geom file. Parameters ---------- fname : str or file handle - geometry file to read. + Geometry file to read. """ try: @@ -282,13 +163,16 @@ class Geom: f = fname f.seek(0) - header_length,keyword = f.readline().split()[:2] - header_length = int(header_length) - content = f.readlines() - + try: + header_length,keyword = f.readline().split()[:2] + header_length = int(header_length) + except ValueError: + header_length,keyword = (-1, 'invalid') if not keyword.startswith('head') or header_length < 3: raise TypeError('Header length information missing or invalid') + content = f.readlines() + comments = [] for i,line in enumerate(content[:header_length]): items = line.split('#')[0].lower().strip().split() @@ -299,12 +183,10 @@ class Geom: size = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) elif key == 'origin': origin = np.array([float(dict(zip(items[1::2],items[2::2]))[i]) for i in ['x','y','z']]) - elif key == 'homogenization': - homogenization = int(items[1]) else: comments.append(line.strip()) - microstructure = np.empty(grid.prod()) # initialize as flat array + material = np.empty(grid.prod()) # initialize as flat array i = 0 for line in content[header_length:]: items = line.split('#')[0].split() @@ -316,38 +198,105 @@ class Geom: abs(int(items[2])-int(items[0]))+1,dtype=float) else: items = list(map(float,items)) else: items = list(map(float,items)) - microstructure[i:i+len(items)] = items + material[i:i+len(items)] = items i += len(items) if i != grid.prod(): - raise TypeError('Invalid file: expected {} entries, found {}'.format(grid.prod(),i)) + raise TypeError(f'Invalid file: expected {grid.prod()} entries, found {i}') - if not np.any(np.mod(microstructure,1) != 0.0): # no float present - microstructure = microstructure.astype('int') + if not np.any(np.mod(material,1) != 0.0): # no float present + material = material.astype('int') - return Geom(microstructure.reshape(grid,order='F'),size,origin,homogenization,comments) + return Geom(material.reshape(grid,order='F'),size,origin,comments) + + + + @staticmethod + def load_DREAM3D(fname,base_group,point_data=None,material='FeatureIds'): + """ + Load a DREAM.3D file. + + Parameters + ---------- + fname : str + Filename of the DREAM.3D file + base_group : str + Name of the group (folder) below 'DataContainers'. For example + 'SyntheticVolumeDataContainer'. + point_data : str, optional + Name of the group (folder) containing the point wise material data, + for example 'CellData'. Defaults to None, in which case points consecutively numbered. + material : str, optional + Name of the dataset containing the material ID. Defaults to + 'FeatureIds'. + + """ + root_dir ='DataContainers' + f = h5py.File(fname, 'r') + g = path.join(root_dir,base_group,'_SIMPL_GEOMETRY') + size = f[path.join(g,'DIMENSIONS')][()] * f[path.join(g,'SPACING')][()] + grid = f[path.join(g,'DIMENSIONS')][()] + origin = f[path.join(g,'ORIGIN')][()] + group_pointwise = path.join(root_dir,base_group,point_data) + + ma = np.arange(1,np.product(grid)+1,dtype=int) if point_data is None else \ + np.reshape(f[path.join(group_pointwise,material)],grid.prod()) + + return Geom(ma.reshape(grid,order='F'),size,origin,util.execution_stamp('Geom','load_DREAM3D')) + + + @staticmethod + def from_table(table,coordinates,labels): + """ + Load an ASCII table. + + Parameters + ---------- + table : damask.Table + Table that contains material information. + coordinates : str + Label of the column containing the vector of spatial coordinates. + Need to be ordered (1./x fast, 3./z slow). + labels : str or list of str + Label(s) of the columns containing the material definition. + Each unique combintation of values results in a material. + + """ + grid,size,origin = grid_filters.cell_coord0_gridSizeOrigin(table.get(coordinates)) + + labels_ = [labels] if isinstance(labels,str) else labels + unique,unique_inverse = np.unique(np.hstack([table.get(l) for l in labels_]),return_inverse=True,axis=0) + + ma = np.arange(grid.prod()) if len(unique) == grid.prod() else \ + np.arange(unique.size)[np.argsort(pd.unique(unique_inverse))][unique_inverse] + + return Geom(ma.reshape(grid,order='F'),size,origin,util.execution_stamp('Geom','from_table')) @staticmethod def _find_closest_seed(seeds, weights, point): return np.argmin(np.sum((np.broadcast_to(point,(len(seeds),3))-seeds)**2,axis=1) - weights) + @staticmethod - def from_Laguerre_tessellation(grid,size,seeds,weights,periodic=True): + def from_Laguerre_tessellation(grid,size,seeds,weights,material=None,periodic=True): """ Generate geometry from Laguerre tessellation. Parameters ---------- - grid : numpy.ndarray of shape (3) - number of grid points in x,y,z direction. + grid : int numpy.ndarray of shape (3) + Number of grid points in x,y,z direction. size : list or numpy.ndarray of shape (3) - physical size of the microstructure in meter. + Physical size of the geometry in meter. seeds : numpy.ndarray of shape (:,3) - position of the seed points in meter. All points need to lay within the box. + Position of the seed points in meter. All points need to lay within the box. weights : numpy.ndarray of shape (seeds.shape[0]) - weights of the seeds. Setting all weights to 1.0 gives a standard Voronoi tessellation. + Weights of the seeds. Setting all weights to 1.0 gives a standard Voronoi tessellation. + material : numpy.ndarray of shape (seeds.shape[0]), optional + Material ID of the seeds. Defaults to None, in which case materials are + consecutively numbered. periodic : Boolean, optional - perform a periodic tessellation. Defaults to True. + Perform a periodic tessellation. Defaults to True. """ if periodic: @@ -361,223 +310,535 @@ class Geom: seeds_p = seeds coords = grid_filters.cell_coord0(grid,size).reshape(-1,3) - pool = multiprocessing.Pool(processes = int(Environment().options['DAMASK_NUM_THREADS'])) + pool = mp.Pool(processes = int(environment.options['DAMASK_NUM_THREADS'])) result = pool.map_async(partial(Geom._find_closest_seed,seeds_p,weights_p), [coord for coord in coords]) pool.close() pool.join() - microstructure = np.array(result.get()) + material_ = np.array(result.get()) if periodic: - microstructure = microstructure.reshape(grid*3) - microstructure = microstructure[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] + material_ = material_.reshape(grid*3) + material_ = material_[grid[0]:grid[0]*2,grid[1]:grid[1]*2,grid[2]:grid[2]*2]%seeds.shape[0] else: - microstructure = microstructure.reshape(grid) + material_ = material_.reshape(grid) - #comments = 'geom.py:from_Laguerre_tessellation v{}'.format(version) - return Geom(microstructure+1,size,homogenization=1) + return Geom(material = material_ if material is None else material[material_], + size = size, + comments = util.execution_stamp('Geom','from_Laguerre_tessellation'), + ) @staticmethod - def from_Voronoi_tessellation(grid,size,seeds,periodic=True): + def from_Voronoi_tessellation(grid,size,seeds,material=None,periodic=True): """ Generate geometry from Voronoi tessellation. Parameters ---------- - grid : numpy.ndarray of shape (3) - number of grid points in x,y,z direction. + grid : int numpy.ndarray of shape (3) + Number of grid points in x,y,z direction. size : list or numpy.ndarray of shape (3) - physical size of the microstructure in meter. + Physical size of the geometry in meter. seeds : numpy.ndarray of shape (:,3) - position of the seed points in meter. All points need to lay within the box. + Position of the seed points in meter. All points need to lay within the box. + material : numpy.ndarray of shape (seeds.shape[0]), optional + Material ID of the seeds. Defaults to None, in which case materials are + consecutively numbered. periodic : Boolean, optional - perform a periodic tessellation. Defaults to True. + Perform a periodic tessellation. Defaults to True. """ coords = grid_filters.cell_coord0(grid,size).reshape(-1,3) KDTree = spatial.cKDTree(seeds,boxsize=size) if periodic else spatial.cKDTree(seeds) - devNull,microstructure = KDTree.query(coords) + devNull,material_ = KDTree.query(coords) - #comments = 'geom.py:from_Voronoi_tessellation v{}'.format(version) - return Geom(microstructure.reshape(grid)+1,size,homogenization=1) + return Geom(material = (material_ if material is None else material[material_]).reshape(grid), + size = size, + comments = util.execution_stamp('Geom','from_Voronoi_tessellation'), + ) - def to_file(self,fname,pack=None): + _minimal_surface = \ + {'Schwarz P': lambda x,y,z: np.cos(x) + np.cos(y) + np.cos(z), + 'Double Primitive': lambda x,y,z: ( 0.5 * (np.cos(x)*np.cos(y) + np.cos(y)*np.cos(z) + np.cos(z)*np.cos(x)) + + 0.2 * (np.cos(2*x) + np.cos(2*y) + np.cos(2*z)) ), + 'Schwarz D': lambda x,y,z: ( np.sin(x)*np.sin(y)*np.sin(z) + + np.sin(x)*np.cos(y)*np.cos(z) + + np.cos(x)*np.cos(y)*np.sin(z) + + np.cos(x)*np.sin(y)*np.cos(z) ), + 'Complementary D': lambda x,y,z: ( np.cos(3*x+y)*np.cos(z) - np.sin(3*x-y)*np.sin(z) + np.cos(x+3*y)*np.cos(z) + + np.sin(x-3*y)*np.sin(z) + np.cos(x-y)*np.cos(3*z) - np.sin(x+y)*np.sin(3*z) ), + 'Double Diamond': lambda x,y,z: 0.5 * (np.sin(x)*np.sin(y) + + np.sin(y)*np.sin(z) + + np.sin(z)*np.sin(x) + + np.cos(x) * np.cos(y) * np.cos(z) ), + 'Dprime': lambda x,y,z: 0.5 * ( np.cos(x)*np.cos(y)*np.cos(z) + + np.cos(x)*np.sin(y)*np.sin(z) + + np.sin(x)*np.cos(y)*np.sin(z) + + np.sin(x)*np.sin(y)*np.cos(z) + - np.sin(2*x)*np.sin(2*y) + - np.sin(2*y)*np.sin(2*z) + - np.sin(2*z)*np.sin(2*x) ) - 0.2, + 'Gyroid': lambda x,y,z: np.cos(x)*np.sin(y) + np.cos(y)*np.sin(z) + np.cos(z)*np.sin(x), + 'Gprime': lambda x,y,z : ( np.sin(2*x)*np.cos(y)*np.sin(z) + + np.sin(2*y)*np.cos(z)*np.sin(x) + + np.sin(2*z)*np.cos(x)*np.sin(y) ) + 0.32, + 'Karcher K': lambda x,y,z: ( 0.3 * ( np.cos(x) + np.cos(y) + np.cos(z) + + np.cos(x)*np.cos(y) + np.cos(y)*np.cos(z) + np.cos(z)*np.cos(x) ) + - 0.4 * ( np.cos(2*x) + np.cos(2*y) + np.cos(2*z) ) ) + 0.2, + 'Lidinoid': lambda x,y,z: 0.5 * ( np.sin(2*x)*np.cos(y)*np.sin(z) + + np.sin(2*y)*np.cos(z)*np.sin(x) + + np.sin(2*z)*np.cos(x)*np.sin(y) + - np.cos(2*x)*np.cos(2*y) + - np.cos(2*y)*np.cos(2*z) + - np.cos(2*z)*np.cos(2*x) ) + 0.15, + 'Neovius': lambda x,y,z: ( 3 * (np.cos(x)+np.cos(y)+np.cos(z)) + + 4 * np.cos(x)*np.cos(y)*np.cos(z) ), + 'Fisher-Koch S': lambda x,y,z: ( np.cos(2*x)*np.sin( y)*np.cos( z) + + np.cos( x)*np.cos(2*y)*np.sin( z) + + np.sin( x)*np.cos( y)*np.cos(2*z) ), + } + + + @staticmethod + def from_minimal_surface(grid,size,surface,threshold=0.0,periods=1,materials=(0,1)): """ - Writes a geom file. + Generate geometry from definition of triply periodic minimal surface. + + Parameters + ---------- + grid : int numpy.ndarray of shape (3) + Number of grid points in x,y,z direction. + size : list or numpy.ndarray of shape (3) + Physical size of the geometry in meter. + surface : str + Type of the minimal surface. See notes for details. + threshold : float, optional. + Threshold of the minimal surface. Defaults to 0.0. + periods : integer, optional. + Number of periods per unit cell. Defaults to 1. + materials : (int, int), optional + Material IDs. Defaults to (1,2). + + Notes + ----- + The following triply-periodic minimal surfaces are implemented: + - Schwarz P + - Double Primitive + - Schwarz D + - Complementary D + - Double Diamond + - Dprime + - Gyroid + - Gprime + - Karcher K + - Lidinoid + - Neovius + - Fisher-Koch S + + References + ---------- + Surface curvature in triply-periodic minimal surface architectures as + a distinct design parameter in preparing advanced tissue engineering scaffolds + Sébastien B G Blanquer, Maike Werner, Markus Hannula, Shahriar Sharifi, + Guillaume P R Lajoinie, David Eglin, Jari Hyttinen, André A Poot, and Dirk W Grijpma + 10.1088/1758-5090/aa6553 + + Triply Periodic Bicontinuous Cubic Microdomain Morphologies by Symmetries + Meinhard Wohlgemuth, Nataliya Yufa, James Hoffman, and Edwin L. Thomas + 10.1021/ma0019499 + + Minisurf – A minimal surface generator for finite element modeling and additive manufacturing + Meng-Ting Hsieh, Lorenzo Valdevit + 10.1016/j.simpa.2020.100026 + + """ + x,y,z = np.meshgrid(periods*2.0*np.pi*(np.arange(grid[0])+0.5)/grid[0], + periods*2.0*np.pi*(np.arange(grid[1])+0.5)/grid[1], + periods*2.0*np.pi*(np.arange(grid[2])+0.5)/grid[2], + indexing='ij',sparse=True) + return Geom(material = np.where(threshold < Geom._minimal_surface[surface](x,y,z),materials[1],materials[0]), + size = size, + comments = util.execution_stamp('Geom','from_minimal_surface'), + ) + + + def save(self,fname,compress=True): + """ + Store as vtk rectilinear grid. + + Parameters + ---------- + fname : str or or pathlib.Path + Filename to write. Valid extension is .vtr, it will be appended if not given. + compress : bool, optional + Compress with zlib algorithm. Defaults to True. + + """ + v = VTK.from_rectilinear_grid(self.grid,self.size,self.origin) + v.add(self.material.flatten(order='F'),'material') + v.add_comments(self.comments) + + v.save(fname if str(fname).endswith('.vtr') else str(fname)+'.vtr',parallel=False,compress=compress) + + + def save_ASCII(self,fname): + """ + Write a geom file. Parameters ---------- fname : str or file handle - geometry file to write. - pack : bool, optional - compress geometry with 'x of y' and 'a to b'. + Geometry file to write with extension '.geom'. + compress : bool, optional + Compress geometry with 'x of y' and 'a to b'. """ - header = self.get_header() - grid = self.get_grid() + header = [f'{len(self.comments)+4} header'] + self.comments \ + + ['grid a {} b {} c {}'.format(*self.grid), + 'size x {} y {} z {}'.format(*self.size), + 'origin x {} y {} z {}'.format(*self.origin), + 'homogenization 1', + ] - if pack is None: - plain = grid.prod()/np.unique(self.microstructure).size < 250 - else: - plain = not pack - - if plain: - format_string = '%g' if self.microstructure.dtype in np.sctypes['float'] else \ - '%{}i'.format(1+int(np.floor(np.log10(np.nanmax(self.microstructure))))) - np.savetxt(fname, - self.microstructure.reshape([grid[0],np.prod(grid[1:])],order='F').T, - header='\n'.join(header), fmt=format_string, comments='') - else: - try: - f = open(fname,'w') - except TypeError: - f = fname - - compressType = None - former = start = -1 - reps = 0 - for current in self.microstructure.flatten('F'): - if abs(current - former) == 1 and (start - current) == reps*(former - current): - compressType = 'to' - reps += 1 - elif current == former and start == former: - compressType = 'of' - reps += 1 - else: - if compressType is None: - f.write('\n'.join(self.get_header())+'\n') - elif compressType == '.': - f.write('{}\n'.format(former)) - elif compressType == 'to': - f.write('{} to {}\n'.format(start,former)) - elif compressType == 'of': - f.write('{} of {}\n'.format(reps,former)) - - compressType = '.' - start = current - reps = 1 - - former = current - - if compressType == '.': - f.write('{}\n'.format(former)) - elif compressType == 'to': - f.write('{} to {}\n'.format(start,former)) - elif compressType == 'of': - f.write('{} of {}\n'.format(reps,former)) - - - def to_vtk(self,fname=None): - """ - Generates vtk file. - - Parameters - ---------- - fname : str, optional - vtk file to write. If no file is given, a string is returned. - - """ - v = VTK.from_rectilinearGrid(self.grid,self.size,self.origin) - v.add(self.microstructure.flatten(order='F'),'microstructure') - - if fname: - v.write(fname) - else: - sys.stdout.write(v.__repr__()) + format_string = '%g' if self.material.dtype in np.sctypes['float'] else \ + '%{}i'.format(1+int(np.floor(np.log10(np.nanmax(self.material))))) + np.savetxt(fname, + self.material.reshape([self.grid[0],np.prod(self.grid[1:])],order='F').T, + header='\n'.join(header), fmt=format_string, comments='') def show(self): - """Show raw content (as in file).""" - f=StringIO() - self.to_file(f) - f.seek(0) - return ''.join(f.readlines()) + """Show on screen.""" + v = VTK.from_rectilinear_grid(self.grid,self.size,self.origin) + v.show() + + + def add_primitive(self,dimension,center,exponent, + fill=None,R=Rotation(),inverse=False,periodic=True): + """ + Insert a primitive geometric object at a given position. + + Parameters + ---------- + dimension : int or float numpy.ndarray of shape(3) + Dimension (diameter/side length) of the primitive. If given as + integers, grid point locations (cell centers) are addressed. + If given as floats, coordinates are addressed. + center : int or float numpy.ndarray of shape(3) + Center of the primitive. If given as integers, grid point + locations (cell centers) are addressed. + If given as floats, coordinates are addressed. + exponent : numpy.ndarray of shape(3) or float + Exponents for the three axes. + 0 gives octahedron (ǀxǀ^(2^0) + ǀyǀ^(2^0) + ǀzǀ^(2^0) < 1) + 1 gives sphere (ǀxǀ^(2^1) + ǀyǀ^(2^1) + ǀzǀ^(2^1) < 1) + fill : int, optional + Fill value for primitive. Defaults to material.max() + 1. + R : damask.Rotation, optional + Rotation of primitive. Defaults to no rotation. + inverse : Boolean, optional + Retain original materials within primitive and fill outside. + Defaults to False. + periodic : Boolean, optional + Repeat primitive over boundaries. Defaults to True. + + """ + # normalized 'radius' and center + r = np.array(dimension)/self.grid/2.0 if np.array(dimension).dtype in np.sctypes['int'] else \ + np.array(dimension)/self.size/2.0 + c = (np.array(center) + .5)/self.grid if np.array(center).dtype in np.sctypes['int'] else \ + (np.array(center) - self.origin)/self.size + + coords = grid_filters.cell_coord0(self.grid,np.ones(3)) \ + - ((np.ones(3)-(1./self.grid if np.array(center).dtype in np.sctypes['int'] else 0))*0.5 if periodic else c) # periodic center is always at CoG + coords_rot = R.broadcast_to(tuple(self.grid))@coords + + with np.errstate(all='ignore'): + mask = np.sum(np.power(coords_rot/r,2.0**np.array(exponent)),axis=-1) > 1.0 + + if periodic: # translate back to center + mask = np.roll(mask,((c-np.ones(3)*.5)*self.grid).astype(int),(0,1,2)) + + fill_ = np.full_like(self.material,np.nanmax(self.material)+1 if fill is None else fill) + + return Geom(material = np.where(np.logical_not(mask) if inverse else mask, self.material,fill_), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','add_primitive')], + ) def mirror(self,directions,reflect=False): """ - Mirror microstructure along given directions. + Mirror geometry along given directions. Parameters ---------- directions : iterable containing str - direction(s) along which the microstructure is mirrored. Valid entries are 'x', 'y', 'z'. + Direction(s) along which the geometry is mirrored. + Valid entries are 'x', 'y', 'z'. reflect : bool, optional - reflect (include) outermost layers. + Reflect (include) outermost layers. Defaults to False. """ - valid = {'x','y','z'} - if not all(isinstance(d, str) for d in directions): - raise TypeError('Directions are not of type str.') - elif not set(directions).issubset(valid): - raise ValueError('Invalid direction specified {}'.format(set(directions).difference(valid))) + valid = ['x','y','z'] + if not set(directions).issubset(valid): + raise ValueError(f'Invalid direction {set(directions).difference(valid)} specified.') limits = [None,None] if reflect else [-2,0] - ms = self.get_microstructure() + mat = self.material.copy() - if 'z' in directions: - ms = np.concatenate([ms,ms[:,:,limits[0]:limits[1]:-1]],2) - if 'y' in directions: - ms = np.concatenate([ms,ms[:,limits[0]:limits[1]:-1,:]],1) if 'x' in directions: - ms = np.concatenate([ms,ms[limits[0]:limits[1]:-1,:,:]],0) + mat = np.concatenate([mat,mat[limits[0]:limits[1]:-1,:,:]],0) + if 'y' in directions: + mat = np.concatenate([mat,mat[:,limits[0]:limits[1]:-1,:]],1) + if 'z' in directions: + mat = np.concatenate([mat,mat[:,:,limits[0]:limits[1]:-1]],2) - #self.add_comments('geom.py:mirror v{}'.format(version) - return self.update(ms,rescale=True) + return Geom(material = mat, + size = self.size/self.grid*np.asarray(mat.shape), + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','mirror')], + ) - def scale(self,grid): + def flip(self,directions): """ - Scale microstructure to new grid. + Flip geometry along given directions. Parameters ---------- - grid : iterable of int - new grid dimension + directions : iterable containing str + Direction(s) along which the geometry is flipped. + Valid entries are 'x', 'y', 'z'. """ - #self.add_comments('geom.py:scale v{}'.format(version) - return self.update( - ndimage.interpolation.zoom( - self.microstructure, - grid/self.get_grid(), - output=self.microstructure.dtype, - order=0, - mode='nearest', - prefilter=False - ) - ) + valid = ['x','y','z'] + if not set(directions).issubset(valid): + raise ValueError(f'Invalid direction {set(directions).difference(valid)} specified.') + + mat = np.flip(self.material, (valid.index(d) for d in directions if d in valid)) + + return Geom(material = mat, + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','flip')], + ) - def clean(self,stencil=3): + def scale(self,grid,periodic=True): """ - Smooth microstructure by selecting most frequent index within given stencil at each location. + Scale geometry to new grid. + + Parameters + ---------- + grid : numpy.ndarray of shape (3) + Number of grid points in x,y,z direction. + periodic : Boolean, optional + Assume geometry to be periodic. Defaults to True. + + """ + return Geom(material = ndimage.interpolation.zoom( + self.material, + grid/self.grid, + output=self.material.dtype, + order=0, + mode=('wrap' if periodic else 'nearest'), + prefilter=False + ), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','scale')], + ) + + + def clean(self,stencil=3,selection=None,periodic=True): + """ + Smooth geometry by selecting most frequent material index within given stencil at each location. Parameters ---------- stencil : int, optional - size of smoothing stencil. + Size of smoothing stencil. + selection : list, optional + Field values that can be altered. Defaults to all. + periodic : Boolean, optional + Assume geometry to be periodic. Defaults to True. """ - def mostFrequent(arr): - unique, inverse = np.unique(arr, return_inverse=True) - return unique[np.argmax(np.bincount(inverse))] + def mostFrequent(arr,selection=None): + me = arr[arr.size//2] + if selection is None or me in selection: + unique, inverse = np.unique(arr, return_inverse=True) + return unique[np.argmax(np.bincount(inverse))] + else: + return me - #self.add_comments('geom.py:clean v{}'.format(version) - return self.update(ndimage.filters.generic_filter( - self.microstructure, - mostFrequent, - size=(stencil,)*3 - ).astype(self.microstructure.dtype) - ) + return Geom(material = ndimage.filters.generic_filter( + self.material, + mostFrequent, + size=(stencil if selection is None else stencil//2*2+1,)*3, + mode=('wrap' if periodic else 'nearest'), + extra_keywords=dict(selection=selection), + ).astype(self.material.dtype), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','clean')], + ) def renumber(self): - """Renumber sorted microstructure indices to 1,...,N.""" - renumbered = np.empty(self.get_grid(),dtype=self.microstructure.dtype) - for i, oldID in enumerate(np.unique(self.microstructure)): - renumbered = np.where(self.microstructure == oldID, i+1, renumbered) + """Renumber sorted material indices to 0,...,N-1.""" + _,renumbered = np.unique(self.material,return_inverse=True) - #self.add_comments('geom.py:renumber v{}'.format(version) - return self.update(renumbered) + return Geom(material = renumbered.reshape(self.grid), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','renumber')], + ) + + + def rotate(self,R,fill=None): + """ + Rotate geometry (pad if required). + + Parameters + ---------- + R : damask.Rotation + Rotation to apply to the geometry. + fill : int or float, optional + Material index to fill the corners. Defaults to material.max() + 1. + + """ + if fill is None: fill = np.nanmax(self.material) + 1 + dtype = float if np.isnan(fill) or int(fill) != fill or self.material.dtype==np.float else int + + Eulers = R.as_Eulers(degrees=True) + material_in = self.material.copy() + + # These rotations are always applied in the reference coordinate system, i.e. (z,x,z) not (z,x',z'') + # see https://www.cs.utexas.edu/~theshark/courses/cs354/lectures/cs354-14.pdf + for angle,axes in zip(Eulers[::-1], [(0,1),(1,2),(0,1)]): + material_out = ndimage.rotate(material_in,angle,axes,order=0, + prefilter=False,output=dtype,cval=fill) + if np.prod(material_in.shape) == np.prod(material_out.shape): + # avoid scipy interpolation errors for rotations close to multiples of 90° + material_in = np.rot90(material_in,k=np.rint(angle/90.).astype(int),axes=axes) + else: + material_in = material_out + + origin = self.origin-(np.asarray(material_in.shape)-self.grid)*.5 * self.size/self.grid + + return Geom(material = material_in, + size = self.size/self.grid*np.asarray(material_in.shape), + origin = origin, + comments = self.comments+[util.execution_stamp('Geom','rotate')], + ) + + + def canvas(self,grid=None,offset=None,fill=None): + """ + Crop or enlarge/pad geometry. + + Parameters + ---------- + grid : numpy.ndarray of shape (3) + Number of grid points in x,y,z direction. + offset : numpy.ndarray of shape (3) + Offset (measured in grid points) from old to new geometry [0,0,0]. + fill : int or float, optional + Material index to fill the background. Defaults to material.max() + 1. + + """ + if offset is None: offset = 0 + if fill is None: fill = np.nanmax(self.material) + 1 + dtype = float if int(fill) != fill or self.material.dtype in np.sctypes['float'] else int + + canvas = np.full(self.grid if grid is None else grid,fill,dtype) + + LL = np.clip( offset, 0,np.minimum(self.grid, grid+offset)) + UR = np.clip( offset+grid, 0,np.minimum(self.grid, grid+offset)) + ll = np.clip(-offset, 0,np.minimum( grid,self.grid-offset)) + ur = np.clip(-offset+self.grid,0,np.minimum( grid,self.grid-offset)) + + canvas[ll[0]:ur[0],ll[1]:ur[1],ll[2]:ur[2]] = self.material[LL[0]:UR[0],LL[1]:UR[1],LL[2]:UR[2]] + + return Geom(material = canvas, + size = self.size/self.grid*np.asarray(canvas.shape), + origin = self.origin+offset*self.size/self.grid, + comments = self.comments+[util.execution_stamp('Geom','canvas')], + ) + + + def substitute(self,from_material,to_material): + """ + Substitute material indices. + + Parameters + ---------- + from_material : iterable of ints + Material indices to be substituted. + to_material : iterable of ints + New material indices. + + """ + def mp(entry,mapper): + return mapper[entry] if entry in mapper else entry + + mp = np.vectorize(mp) + mapper = dict(zip(from_material,to_material)) + + return Geom(material = mp(self.material,mapper).reshape(self.grid), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','substitute')], + ) + + + def vicinity_offset(self,vicinity=1,offset=None,trigger=[],periodic=True): + """ + Offset material index of points in the vicinity of xxx. + + Different from themselves (or listed as triggers) within a given (cubic) vicinity, + i.e. within the region close to a grain/phase boundary. + ToDo: use include/exclude as in seeds.from_geom + + Parameters + ---------- + vicinity : int, optional + Voxel distance checked for presence of other materials. + Defaults to 1. + offset : int, optional + Offset (positive or negative) to tag material indices, + defaults to material.max() + 1. + trigger : list of ints, optional + List of material indices that trigger a change. + Defaults to [], meaning that any different neighbor triggers a change. + periodic : Boolean, optional + Assume geometry to be periodic. Defaults to True. + + """ + def tainted_neighborhood(stencil,trigger): + + me = stencil[stencil.shape[0]//2] + if len(trigger) == 0: + return np.any(stencil != me) + if me in trigger: + trigger = set(trigger) + trigger.remove(me) + trigger = list(trigger) + return np.any(np.in1d(stencil,np.array(trigger))) + + offset_ = np.nanmax(self.material) if offset is None else offset + mask = ndimage.filters.generic_filter(self.material, + tainted_neighborhood, + size=1+2*vicinity, + mode='wrap' if periodic else 'nearest', + extra_keywords={'trigger':trigger}) + + return Geom(material = np.where(mask, self.material + offset_,self.material), + size = self.size, + origin = self.origin, + comments = self.comments+[util.execution_stamp('Geom','vicinity_offset')], + ) diff --git a/python/damask/_lattice.py b/python/damask/_lattice.py index 42aa0e9bd..143fa50f1 100644 --- a/python/damask/_lattice.py +++ b/python/damask/_lattice.py @@ -1,11 +1,9 @@ import numpy as np -from . import Rotation - class Symmetry: """ - Symmetry operations for lattice systems. + Symmetry-related operations for crystal systems. References ---------- @@ -13,34 +11,34 @@ class Symmetry: """ - lattices = [None,'orthorhombic','tetragonal','hexagonal','cubic',] + crystal_systems = [None,'orthorhombic','tetragonal','hexagonal','cubic'] - def __init__(self, symmetry = None): + def __init__(self, system = None): """ Symmetry Definition. Parameters ---------- - symmetry : str, optional - label of the crystal system + system : {None,'orthorhombic','tetragonal','hexagonal','cubic'}, optional + Name of the crystal system. Defaults to 'None'. """ - if symmetry is not None and symmetry.lower() not in Symmetry.lattices: - raise KeyError('Symmetry/crystal system "{}" is unknown'.format(symmetry)) + if system is not None and system.lower() not in self.crystal_systems: + raise KeyError(f'Crystal system "{system}" is unknown') - self.lattice = symmetry.lower() if isinstance(symmetry,str) else symmetry + self.system = system.lower() if isinstance(system,str) else system def __copy__(self): """Copy.""" - return self.__class__(self.lattice) + return self.__class__(self.system) copy = __copy__ def __repr__(self): """Readable string.""" - return '{}'.format(self.lattice) + return f'{self.system}' def __eq__(self, other): @@ -53,7 +51,7 @@ class Symmetry: Symmetry to check for equality. """ - return self.lattice == other.lattice + return self.system == other.system def __neq__(self, other): """ @@ -77,14 +75,16 @@ class Symmetry: Symmetry to check for for order. """ - myOrder = Symmetry.lattices.index(self.lattice) - otherOrder = Symmetry.lattices.index(other.lattice) + myOrder = self.crystal_systems.index(self.system) + otherOrder = self.crystal_systems.index(other.system) return (myOrder > otherOrder) - (myOrder < otherOrder) - def symmetryOperations(self,members=[]): - """List (or single element) of symmetry operations as rotations.""" - if self.lattice == 'cubic': - symQuats = [ + + @property + def symmetry_operations(self): + """Symmetry operations as quaternions.""" + if self.system == 'cubic': + sym_quats = [ [ 1.0, 0.0, 0.0, 0.0 ], [ 0.0, 1.0, 0.0, 0.0 ], [ 0.0, 0.0, 1.0, 0.0 ], @@ -110,8 +110,8 @@ class Symmetry: [-0.5*np.sqrt(2), 0.5*np.sqrt(2), 0.0, 0.0 ], [-0.5*np.sqrt(2),-0.5*np.sqrt(2), 0.0, 0.0 ], ] - elif self.lattice == 'hexagonal': - symQuats = [ + elif self.system == 'hexagonal': + sym_quats = [ [ 1.0, 0.0, 0.0, 0.0 ], [-0.5*np.sqrt(3), 0.0, 0.0, -0.5 ], [ 0.5, 0.0, 0.0, 0.5*np.sqrt(3) ], @@ -125,8 +125,8 @@ class Symmetry: [ 0.0, -0.5, -0.5*np.sqrt(3), 0.0 ], [ 0.0, 0.5*np.sqrt(3), 0.5, 0.0 ], ] - elif self.lattice == 'tetragonal': - symQuats = [ + elif self.system == 'tetragonal': + sym_quats = [ [ 1.0, 0.0, 0.0, 0.0 ], [ 0.0, 1.0, 0.0, 0.0 ], [ 0.0, 0.0, 1.0, 0.0 ], @@ -136,64 +136,54 @@ class Symmetry: [ 0.5*np.sqrt(2), 0.0, 0.0, 0.5*np.sqrt(2) ], [-0.5*np.sqrt(2), 0.0, 0.0, 0.5*np.sqrt(2) ], ] - elif self.lattice == 'orthorhombic': - symQuats = [ + elif self.system == 'orthorhombic': + sym_quats = [ [ 1.0,0.0,0.0,0.0 ], [ 0.0,1.0,0.0,0.0 ], [ 0.0,0.0,1.0,0.0 ], [ 0.0,0.0,0.0,1.0 ], ] else: - symQuats = [ + sym_quats = [ [ 1.0,0.0,0.0,0.0 ], ] - - symOps = list(map(Rotation, - np.array(symQuats)[np.atleast_1d(members) if members != [] else range(len(symQuats))])) - try: - iter(members) # asking for (even empty) list of members? - except TypeError: - return symOps[0] # no, return rotation object - else: - return symOps # yes, return list of rotations + return np.array(sym_quats) - def inFZ(self,rodrigues): + def in_FZ(self,rho): """ - Check whether given Rodrigues-Frank vector falls into fundamental zone of own symmetry. + Check whether given Rodrigues-Frank vector falls into fundamental zone. Fundamental zone in Rodrigues space is point symmetric around origin. """ - if (len(rodrigues) != 3): - raise ValueError('Input is not a Rodrigues-Frank vector.\n') + if(rho.shape[-1] != 3): + raise ValueError('Input is not a Rodrigues-Frank vector field.') - if np.any(rodrigues == np.inf): return False + rho_abs = np.abs(rho) - Rabs = abs(rodrigues) - - if self.lattice == 'cubic': - return np.sqrt(2.0)-1.0 >= Rabs[0] \ - and np.sqrt(2.0)-1.0 >= Rabs[1] \ - and np.sqrt(2.0)-1.0 >= Rabs[2] \ - and 1.0 >= Rabs[0] + Rabs[1] + Rabs[2] - elif self.lattice == 'hexagonal': - return 1.0 >= Rabs[0] and 1.0 >= Rabs[1] and 1.0 >= Rabs[2] \ - and 2.0 >= np.sqrt(3)*Rabs[0] + Rabs[1] \ - and 2.0 >= np.sqrt(3)*Rabs[1] + Rabs[0] \ - and 2.0 >= np.sqrt(3) + Rabs[2] - elif self.lattice == 'tetragonal': - return 1.0 >= Rabs[0] and 1.0 >= Rabs[1] \ - and np.sqrt(2.0) >= Rabs[0] + Rabs[1] \ - and np.sqrt(2.0) >= Rabs[2] + 1.0 - elif self.lattice == 'orthorhombic': - return 1.0 >= Rabs[0] and 1.0 >= Rabs[1] and 1.0 >= Rabs[2] - else: - return True + with np.errstate(invalid='ignore'): + # using '*'/prod for 'and' + if self.system == 'cubic': + return np.where(np.prod(np.sqrt(2)-1. >= rho_abs,axis=-1) * + (1. >= np.sum(rho_abs,axis=-1)),True,False) + elif self.system == 'hexagonal': + return np.where(np.prod(1. >= rho_abs,axis=-1) * + (2. >= np.sqrt(3)*rho_abs[...,0] + rho_abs[...,1]) * + (2. >= np.sqrt(3)*rho_abs[...,1] + rho_abs[...,0]) * + (2. >= np.sqrt(3) + rho_abs[...,2]),True,False) + elif self.system == 'tetragonal': + return np.where(np.prod(1. >= rho_abs[...,:2],axis=-1) * + (np.sqrt(2) >= rho_abs[...,0] + rho_abs[...,1]) * + (np.sqrt(2) >= rho_abs[...,2] + 1.),True,False) + elif self.system == 'orthorhombic': + return np.where(np.prod(1. >= rho_abs,axis=-1),True,False) + else: + return np.where(np.all(np.isfinite(rho_abs),axis=-1),True,False) - def inDisorientationSST(self,rodrigues): + def in_disorientation_SST(self,rho): """ - Check whether given Rodrigues-Frank vector (of misorientation) falls into standard stereographic triangle of own symmetry. + Check whether given Rodrigues-Frank vector (of misorientation) falls into standard stereographic triangle. References ---------- @@ -201,27 +191,33 @@ class Symmetry: https://doi.org/10.1107/S0108767391006864 """ - if (len(rodrigues) != 3): - raise ValueError('Input is not a Rodrigues-Frank vector.\n') - R = rodrigues + if(rho.shape[-1] != 3): + raise ValueError('Input is not a Rodrigues-Frank vector field.') - epsilon = 0.0 - if self.lattice == 'cubic': - return R[0] >= R[1]+epsilon and R[1] >= R[2]+epsilon and R[2] >= epsilon - elif self.lattice == 'hexagonal': - return R[0] >= np.sqrt(3)*(R[1]-epsilon) and R[1] >= epsilon and R[2] >= epsilon - elif self.lattice == 'tetragonal': - return R[0] >= R[1]-epsilon and R[1] >= epsilon and R[2] >= epsilon - elif self.lattice == 'orthorhombic': - return R[0] >= epsilon and R[1] >= epsilon and R[2] >= epsilon - else: - return True + with np.errstate(invalid='ignore'): + # using '*' for 'and' + if self.system == 'cubic': + return np.where((rho[...,0] >= rho[...,1]) * \ + (rho[...,1] >= rho[...,2]) * \ + (rho[...,2] >= 0),True,False) + elif self.system == 'hexagonal': + return np.where((rho[...,0] >= rho[...,1]*np.sqrt(3)) * \ + (rho[...,1] >= 0) * \ + (rho[...,2] >= 0),True,False) + elif self.system == 'tetragonal': + return np.where((rho[...,0] >= rho[...,1]) * \ + (rho[...,1] >= 0) * \ + (rho[...,2] >= 0),True,False) + elif self.system == 'orthorhombic': + return np.where((rho[...,0] >= 0) * \ + (rho[...,1] >= 0) * \ + (rho[...,2] >= 0),True,False) + else: + return np.ones_like(rho[...,0],dtype=bool) - def inSST(self, - vector, - proper = False, - color = False): + #ToDo: IPF color in separate function + def in_SST(self,vector,proper=False,color=False): """ Check whether given vector falls into standard stereographic triangle of own symmetry. @@ -229,21 +225,25 @@ class Symmetry: Return inverse pole figure color if requested. Bases are computed from - basis = {'cubic' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red - [1.,0.,1.]/np.sqrt(2.), # direction of green - [1.,1.,1.]/np.sqrt(3.)]).T), # direction of blue - 'hexagonal' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red - [1.,0.,0.], # direction of green - [np.sqrt(3.),1.,0.]/np.sqrt(4.)]).T), # direction of blue - 'tetragonal' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red - [1.,0.,0.], # direction of green - [1.,1.,0.]/np.sqrt(2.)]).T), # direction of blue - 'orthorhombic' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red - [1.,0.,0.], # direction of green - [0.,1.,0.]]).T), # direction of blue - } + >>> basis = {'cubic' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red + ... [1.,0.,1.]/np.sqrt(2.), # direction of green + ... [1.,1.,1.]/np.sqrt(3.)]).T), # direction of blue + ... 'hexagonal' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red + ... [1.,0.,0.], # direction of green + ... [np.sqrt(3.),1.,0.]/np.sqrt(4.)]).T), # direction of blue + ... 'tetragonal' : np.linalg.inv(np.array([[0.,0.,1.], # direction of red + ... [1.,0.,0.], # direction of green + ... [1.,1.,0.]/np.sqrt(2.)]).T), # direction of blue + ... 'orthorhombic': np.linalg.inv(np.array([[0.,0.,1.], # direction of red + ... [1.,0.,0.], # direction of green + ... [0.,1.,0.]]).T), # direction of blue + ... } + """ - if self.lattice == 'cubic': + if(vector.shape[-1] != 3): + raise ValueError('Input is not a 3D vector field.') + + if self.system == 'cubic': basis = {'improper':np.array([ [-1. , 0. , 1. ], [ np.sqrt(2.) , -np.sqrt(2.) , 0. ], [ 0. , np.sqrt(3.) , 0. ] ]), @@ -251,7 +251,7 @@ class Symmetry: [-np.sqrt(2.) , np.sqrt(2.) , 0. ], [ np.sqrt(3.) , 0. , 0. ] ]), } - elif self.lattice == 'hexagonal': + elif self.system == 'hexagonal': basis = {'improper':np.array([ [ 0. , 0. , 1. ], [ 1. , -np.sqrt(3.) , 0. ], [ 0. , 2. , 0. ] ]), @@ -259,7 +259,7 @@ class Symmetry: [-1. , np.sqrt(3.) , 0. ], [ np.sqrt(3.) , -1. , 0. ] ]), } - elif self.lattice == 'tetragonal': + elif self.system == 'tetragonal': basis = {'improper':np.array([ [ 0. , 0. , 1. ], [ 1. , -1. , 0. ], [ 0. , np.sqrt(2.) , 0. ] ]), @@ -267,7 +267,7 @@ class Symmetry: [-1. , 1. , 0. ], [ np.sqrt(2.) , 0. , 0. ] ]), } - elif self.lattice == 'orthorhombic': + elif self.system == 'orthorhombic': basis = {'improper':np.array([ [ 0., 0., 1.], [ 1., 0., 0.], [ 0., 1., 0.] ]), @@ -277,43 +277,41 @@ class Symmetry: } else: # direct exit for unspecified symmetry if color: - return (True,np.zeros(3,'d')) + return (np.ones_like(vector[...,0],bool),np.zeros_like(vector)) else: - return True + return np.ones_like(vector[...,0],bool) - v = np.array(vector,dtype=float) - if proper: # check both improper ... - theComponents = np.around(np.dot(basis['improper'],v),12) - inSST = np.all(theComponents >= 0.0) - if not inSST: # ... and proper SST - theComponents = np.around(np.dot(basis['proper'],v),12) - inSST = np.all(theComponents >= 0.0) + + b_i = np.broadcast_to(basis['improper'],vector.shape+(3,)) + if proper: + b_p = np.broadcast_to(basis['proper'], vector.shape+(3,)) + improper = np.all(np.around(np.einsum('...ji,...i',b_i,vector),12)>=0.0,axis=-1,keepdims=True) + theComponents = np.where(np.broadcast_to(improper,vector.shape), + np.around(np.einsum('...ji,...i',b_i,vector),12), + np.around(np.einsum('...ji,...i',b_p,vector),12)) else: - v[2] = abs(v[2]) # z component projects identical - theComponents = np.around(np.dot(basis['improper'],v),12) # for positive and negative values - inSST = np.all(theComponents >= 0.0) + vector_ = np.block([vector[...,0:2],np.abs(vector[...,2:3])]) # z component projects identical + theComponents = np.around(np.einsum('...ji,...i',b_i,vector_),12) + + in_SST = np.all(theComponents >= 0.0,axis=-1) if color: # have to return color array - if inSST: - rgb = np.power(theComponents/np.linalg.norm(theComponents),0.5) # smoothen color ramps - rgb = np.minimum(np.ones(3,dtype=float),rgb) # limit to maximum intensity - rgb /= max(rgb) # normalize to (HS)V = 1 - else: - rgb = np.zeros(3,dtype=float) - return (inSST,rgb) + with np.errstate(invalid='ignore',divide='ignore'): + rgb = (theComponents/np.linalg.norm(theComponents,axis=-1,keepdims=True))**0.5 # smoothen color ramps + rgb = np.minimum(1.,rgb) # limit to maximum intensity + rgb /= np.max(rgb,axis=-1,keepdims=True) # normalize to (HS)V = 1 + rgb[np.broadcast_to(~in_SST.reshape(vector[...,0].shape+(1,)),vector.shape)] = 0.0 + return (in_SST,rgb) else: - return inSST - -# code derived from https://github.com/ezag/pyeuclid -# suggested reading: http://web.mit.edu/2.998/www/QuaternionReport1.pdf + return in_SST # ****************************************************************************************** -class Lattice: +class Lattice: # ToDo: Make a subclass of Symmetry! """ - Lattice system. + Bravais lattice. - Currently, this contains only a mapping from Bravais lattice to symmetry + This contains only a mapping from Bravais lattice to symmetry and orientation relationships. It could include twin and slip systems. References @@ -323,15 +321,16 @@ class Lattice: """ lattices = { - 'triclinic':{'symmetry':None}, - 'bct':{'symmetry':'tetragonal'}, - 'hex':{'symmetry':'hexagonal'}, - 'fcc':{'symmetry':'cubic','c/a':1.0}, - 'bcc':{'symmetry':'cubic','c/a':1.0}, + 'iso': {'system':None}, + 'triclinic':{'system':None}, + 'bct': {'system':'tetragonal'}, + 'hex': {'system':'hexagonal'}, + 'fcc': {'system':'cubic','c/a':1.0}, + 'bcc': {'system':'cubic','c/a':1.0}, } - def __init__(self, lattice): + def __init__(self,lattice,c_over_a=None): """ New lattice of given type. @@ -342,18 +341,23 @@ class Lattice: """ self.lattice = lattice - self.symmetry = Symmetry(self.lattices[lattice]['symmetry']) + self.symmetry = Symmetry(self.lattices[lattice]['system']) + # transition to subclass + self.system = self.symmetry.system + self.in_SST = self.symmetry.in_SST + self.in_FZ = self.symmetry.in_FZ + self.in_disorientation_SST = self.symmetry.in_disorientation_SST def __repr__(self): """Report basic lattice information.""" - return 'Bravais lattice {} ({} symmetry)'.format(self.lattice,self.symmetry) + return f'Bravais lattice {self.lattice} ({self.symmetry} crystal system)' # Kurdjomov--Sachs orientation relationship for fcc <-> bcc transformation # from S. Morito et al., Journal of Alloys and Compounds 577:s587-s592, 2013 # also see K. Kitahara et al., Acta Materialia 54:1279-1288, 2006 - KS = {'mapping':{'fcc':0,'bcc':1}, + _KS = {'mapping':{'fcc':0,'bcc':1}, 'planes': np.array([ [[ 1, 1, 1],[ 0, 1, 1]], [[ 1, 1, 1],[ 0, 1, 1]], @@ -407,7 +411,7 @@ class Lattice: # Greninger--Troiano orientation relationship for fcc <-> bcc transformation # from Y. He et al., Journal of Applied Crystallography 39:72-81, 2006 - GT = {'mapping':{'fcc':0,'bcc':1}, + _GT = {'mapping':{'fcc':0,'bcc':1}, 'planes': np.array([ [[ 1, 1, 1],[ 1, 0, 1]], [[ 1, 1, 1],[ 1, 1, 0]], @@ -461,7 +465,7 @@ class Lattice: # Greninger--Troiano' orientation relationship for fcc <-> bcc transformation # from Y. He et al., Journal of Applied Crystallography 39:72-81, 2006 - GTprime = {'mapping':{'fcc':0,'bcc':1}, + _GTprime = {'mapping':{'fcc':0,'bcc':1}, 'planes': np.array([ [[ 7, 17, 17],[ 12, 5, 17]], [[ 17, 7, 17],[ 17, 12, 5]], @@ -515,7 +519,7 @@ class Lattice: # Nishiyama--Wassermann orientation relationship for fcc <-> bcc transformation # from H. Kitahara et al., Materials Characterization 54:378-386, 2005 - NW = {'mapping':{'fcc':0,'bcc':1}, + _NW = {'mapping':{'fcc':0,'bcc':1}, 'planes': np.array([ [[ 1, 1, 1],[ 0, 1, 1]], [[ 1, 1, 1],[ 0, 1, 1]], @@ -545,7 +549,7 @@ class Lattice: # Pitsch orientation relationship for fcc <-> bcc transformation # from Y. He et al., Acta Materialia 53:1179-1190, 2005 - Pitsch = {'mapping':{'fcc':0,'bcc':1}, + _Pitsch = {'mapping':{'fcc':0,'bcc':1}, 'planes': np.array([ [[ 0, 1, 0],[ -1, 0, 1]], [[ 0, 0, 1],[ 1, -1, 0]], @@ -575,7 +579,7 @@ class Lattice: # Bain orientation relationship for fcc <-> bcc transformation # from Y. He et al., Journal of Applied Crystallography 39:72-81, 2006 - Bain = {'mapping':{'fcc':0,'bcc':1}, + _Bain = {'mapping':{'fcc':0,'bcc':1}, 'planes': np.array([ [[ 1, 0, 0],[ 1, 0, 0]], [[ 0, 1, 0],[ 0, 1, 0]], @@ -585,7 +589,8 @@ class Lattice: [[ 0, 0, 1],[ 1, 0, 1]], [[ 1, 0, 0],[ 1, 1, 0]]],dtype='float')} - def relationOperations(self,model): + + def relation_operations(self,model): """ Crystallographic orientation relationships for phase transformations. @@ -607,22 +612,22 @@ class Lattice: https://doi.org/10.1016/j.actamat.2004.11.021 """ - models={'KS':self.KS, 'GT':self.GT, 'GT_prime':self.GTprime, - 'NW':self.NW, 'Pitsch': self.Pitsch, 'Bain':self.Bain} + models={'KS':self._KS, 'GT':self._GT, 'GT_prime':self._GTprime, + 'NW':self._NW, 'Pitsch': self._Pitsch, 'Bain':self._Bain} try: relationship = models[model] except KeyError : - raise KeyError('Orientation relationship "{}" is unknown'.format(model)) + raise KeyError(f'Orientation relationship "{model}" is unknown') if self.lattice not in relationship['mapping']: - raise ValueError('Relationship "{}" not supported for lattice "{}"'.format(model,self.lattice)) + raise ValueError(f'Relationship "{model}" not supported for lattice "{self.lattice}"') r = {'lattice':Lattice((set(relationship['mapping'])-{self.lattice}).pop()), # target lattice 'rotations':[] } myPlane_id = relationship['mapping'][self.lattice] otherPlane_id = (myPlane_id+1)%2 - myDir_id = myPlane_id +2 + myDir_id = myPlane_id +2 otherDir_id = otherPlane_id +2 for miller in np.hstack((relationship['planes'],relationship['directions'])): @@ -634,6 +639,8 @@ class Lattice: otherDir = miller[otherDir_id]/ np.linalg.norm(miller[otherDir_id]) otherMatrix = np.array([otherDir,np.cross(otherPlane,otherDir),otherPlane]) - r['rotations'].append(Rotation.fromMatrix(np.dot(otherMatrix.T,myMatrix))) + r['rotations'].append(np.dot(otherMatrix.T,myMatrix)) + + r['rotations'] = np.array(r['rotations']) return r diff --git a/python/damask/_orientation.py b/python/damask/_orientation.py index e6c732007..0bb0e1bc8 100644 --- a/python/damask/_orientation.py +++ b/python/damask/_orientation.py @@ -3,11 +3,12 @@ import numpy as np from . import Lattice from . import Rotation -class Orientation: +class Orientation: # ToDo: make subclass of lattice and Rotation? """ Crystallographic orientation. A crystallographic orientation contains a rotation and a lattice. + """ __slots__ = ['rotation','lattice'] @@ -36,11 +37,14 @@ class Orientation: if isinstance(rotation, Rotation): self.rotation = rotation else: - self.rotation = Rotation.fromQuaternion(rotation) # assume quaternion + self.rotation = Rotation.from_quaternion(rotation) # assume quaternion - if self.rotation.quaternion.shape != (4,): - raise NotImplementedError('Support for multiple rotations missing') + def __getitem__(self,item): + """Iterate over leading/leftmost dimension of Orientation array.""" + return self.__class__(self.rotation[item],self.lattice) + + # ToDo: Discuss vectorization/calling signature def disorientation(self, other, SST = True, @@ -49,14 +53,16 @@ class Orientation: Disorientation between myself and given other orientation. Rotation axis falls into SST if SST == True. - (Currently requires same symmetry for both orientations. - Look into A. Heinz and P. Neumann 1991 for cases with differing sym.) + + Currently requires same symmetry for both orientations. + Look into A. Heinz and P. Neumann 1991 for cases with differing sym. + """ if self.lattice.symmetry != other.lattice.symmetry: raise NotImplementedError('disorientation between different symmetry classes not supported yet.') - mySymEqs = self.equivalentOrientations() if SST else self.equivalentOrientations([0]) # take all or only first sym operation - otherSymEqs = other.equivalentOrientations() + mySymEqs = self.equivalent if SST else self.equivalent[0] #ToDo: This is just me! # take all or only first sym operation + otherSymEqs = other.equivalent for i,sA in enumerate(mySymEqs): aInv = sA.rotation.inversed() @@ -65,8 +71,8 @@ class Orientation: r = b*aInv for k in range(2): r.inverse() - breaker = self.lattice.symmetry.inFZ(r.asRodrigues(vector=True)) \ - and (not SST or other.lattice.symmetry.inDisorientationSST(r.asRodrigues(vector=True))) + breaker = self.lattice.in_FZ(r.as_Rodrigues(vector=True)) \ + and (not SST or other.lattice.in_disorientation_SST(r.as_Rodrigues(vector=True))) if breaker: break if breaker: break if breaker: break @@ -74,79 +80,123 @@ class Orientation: return (Orientation(r,self.lattice), i,j, k == 1) if symmetries else r # disorientation ... # ... own sym, other sym, # self-->other: True, self<--other: False - def inFZ(self): - return self.lattice.symmetry.inFZ(self.rotation.asRodrigues(vector=True)) + + @property + def in_FZ(self): + """Check if orientations fall into Fundamental Zone.""" + return self.lattice.in_FZ(self.rotation.as_Rodrigues(vector=True)) - def equivalentOrientations(self,members=[]): - """List of orientations which are symmetrically equivalent.""" - try: - iter(members) # asking for (even empty) list of members? - except TypeError: - return self.__class__(self.lattice.symmetry.symmetryOperations(members)*self.rotation,self.lattice) # no, return rotation object - else: - return [self.__class__(q*self.rotation,self.lattice) \ - for q in self.lattice.symmetry.symmetryOperations(members)] # yes, return list of rotations + @property + def equivalent(self): + """ + Orientations which are symmetrically equivalent. - def relatedOrientations(self,model): - """List of orientations related by the given orientation relationship.""" - r = self.lattice.relationOperations(model) - return [self.__class__(o*self.rotation,r['lattice']) for o in r['rotations']] + One dimension (length according to number of symmetrically equivalent orientations) + is added to the left of the Rotation array. + + """ + o = self.lattice.symmetry.symmetry_operations + o = o.reshape(o.shape[:1]+(1,)*len(self.rotation.shape)+(4,)) + o = Rotation(np.broadcast_to(o,o.shape[:1]+self.rotation.quaternion.shape)) + + s = np.broadcast_to(self.rotation.quaternion,o.shape[:1]+self.rotation.quaternion.shape) + + return self.__class__(o@Rotation(s),self.lattice) + def related(self,model): + """ + Orientations related by the given orientation relationship. + + One dimension (length according to number of related orientations) + is added to the left of the Rotation array. + + """ + o = Rotation.from_matrix(self.lattice.relation_operations(model)['rotations']).as_quaternion() + o = o.reshape(o.shape[:1]+(1,)*len(self.rotation.shape)+(4,)) + o = Rotation(np.broadcast_to(o,o.shape[:1]+self.rotation.quaternion.shape)) + + s = np.broadcast_to(self.rotation.quaternion,o.shape[:1]+self.rotation.quaternion.shape) + + return self.__class__(o@Rotation(s),self.lattice.relation_operations(model)['lattice']) + + + @property def reduced(self): """Transform orientation to fall into fundamental zone according to symmetry.""" - for me in self.equivalentOrientations(): - if self.lattice.symmetry.inFZ(me.rotation.asRodrigues(vector=True)): break + eq = self.equivalent + in_FZ = eq.in_FZ - return self.__class__(me.rotation,self.lattice) + # remove duplicates (occur for highly symmetric orientations) + found = np.zeros_like(in_FZ[0],dtype=bool) + q = self.rotation.quaternion[0] + for s in range(in_FZ.shape[0]): + #something fishy... why does q needs to be initialized? + q = np.where(np.expand_dims(np.logical_and(in_FZ[s],~found),-1),eq.rotation.quaternion[s],q) + found = np.logical_or(in_FZ[s],found) + + return self.__class__(q,self.lattice) - def inversePole(self, - axis, - proper = False, - SST = True): + def inverse_pole(self,axis,proper=False,SST=True): """Axis rotated according to orientation (using crystal symmetry to ensure location falls into SST).""" - if SST: # pole requested to be within SST - for i,o in enumerate(self.equivalentOrientations()): # test all symmetric equivalent quaternions - pole = o.rotation*axis # align crystal direction to axis - if self.lattice.symmetry.inSST(pole,proper): break # found SST version + if SST: + eq = self.equivalent + pole = eq.rotation @ np.broadcast_to(axis/np.linalg.norm(axis),eq.rotation.shape+(3,)) + in_SST = self.lattice.in_SST(pole,proper=proper) + + # remove duplicates (occur for highly symmetric orientations) + found = np.zeros_like(in_SST[0],dtype=bool) + p = pole[0] + for s in range(in_SST.shape[0]): + p = np.where(np.expand_dims(np.logical_and(in_SST[s],~found),-1),pole[s],p) + found = np.logical_or(in_SST[s],found) + + return p else: - pole = self.rotation*axis # align crystal direction to axis - - return (pole,i if SST else 0) + return self.rotation @ np.broadcast_to(axis/np.linalg.norm(axis),self.rotation.shape+(3,)) - def IPFcolor(self,axis): + + def IPF_color(self,axis): #ToDo axis or direction? """TSL color of inverse pole figure for given axis.""" - color = np.zeros(3,'d') + eq = self.equivalent + pole = eq.rotation @ np.broadcast_to(axis/np.linalg.norm(axis),eq.rotation.shape+(3,)) + in_SST, color = self.lattice.in_SST(pole,color=True) - for o in self.equivalentOrientations(): - pole = o.rotation*axis # align crystal direction to axis - inSST,color = self.lattice.symmetry.inSST(pole,color=True) - if inSST: break + # remove duplicates (occur for highly symmetric orientations) + found = np.zeros_like(in_SST[0],dtype=bool) + c = color[0] + for s in range(in_SST.shape[0]): + c = np.where(np.expand_dims(np.logical_and(in_SST[s],~found),-1),color[s],c) + found = np.logical_or(in_SST[s],found) - return color + return c + # ToDo: Discuss vectorization/calling signature @staticmethod - def fromAverage(orientations, + def from_average(orientations, weights = []): """Create orientation from average of list of orientations.""" + # further read: Orientation distribution analysis in deformed grains + # https://doi.org/10.1107/S0021889801003077 if not all(isinstance(item, Orientation) for item in orientations): raise TypeError("Only instances of Orientation can be averaged.") closest = [] ref = orientations[0] for o in orientations: - closest.append(o.equivalentOrientations( + closest.append(o.equivalent[ ref.disorientation(o, SST = False, # select (o[ther]'s) sym orientation - symmetries = True)[2]).rotation) # with lowest misorientation + symmetries = True)[2]].rotation) # with lowest misorientation - return Orientation(Rotation.fromAverage(closest,weights),ref.lattice) + return Orientation(Rotation.from_average(closest,weights),ref.lattice) + # ToDo: Discuss vectorization/calling signature def average(self,other): """Calculate the average rotation.""" - return Orientation.fromAverage([self,other]) + return Orientation.from_average([self,other]) diff --git a/python/damask/_result.py b/python/damask/_result.py index 9171682ff..3f4ca735c 100644 --- a/python/damask/_result.py +++ b/python/damask/_result.py @@ -1,21 +1,25 @@ -import multiprocessing +import multiprocessing as mp import re import glob import os +import datetime +import xml.etree.ElementTree as ET +import xml.dom.minidom +from pathlib import Path from functools import partial import h5py import numpy as np +from numpy.lib import recfunctions as rfn +import damask from . import VTK from . import Table from . import Rotation from . import Orientation -from . import Environment from . import grid_filters from . import mechanics from . import util -from . import version class Result: @@ -32,7 +36,7 @@ class Result: Parameters ---------- fname : str - name of the DADF5 file to be openend. + name of the DADF5 file to be opened. """ with h5py.File(fname,'r') as f: @@ -44,9 +48,8 @@ class Result: self.version_major = f.attrs['DADF5-major'] self.version_minor = f.attrs['DADF5-minor'] - if self.version_major != 0 or not 2 <= self.version_minor <= 6: - raise TypeError('Unsupported DADF5 version {}.{} '.format(self.version_major, - self.version_minor)) + if self.version_major != 0 or not 2 <= self.version_minor <= 7: + raise TypeError(f'Unsupported DADF5 version {self.version_major}.{self.version_minor}') self.structured = 'grid' in f['geometry'].attrs.keys() @@ -65,6 +68,10 @@ class Result: self.materialpoints = [m.decode() for m in np.unique(f['mapping/cellResults/materialpoint']['Name'])] self.constituents = [c.decode() for c in np.unique(f['mapping/cellResults/constituent'] ['Name'])] + # faster, but does not work with (deprecated) DADF5_postResults + #self.materialpoints = [m for m in f['inc0/materialpoint']] + #self.constituents = [c for c in f['inc0/constituent']] + self.con_physics = [] for c in self.constituents: self.con_physics += f['/'.join([self.increments[0],'constituent',c])].keys() @@ -80,7 +87,9 @@ class Result: 'con_physics': self.con_physics, 'mat_physics': self.mat_physics } - self.fname = fname + self.fname = Path(fname).absolute() + + self._allow_modification = False def __repr__(self): @@ -96,7 +105,7 @@ class Result: self.pick('increments',all_selected_increments) in_between = '' if len(all_selected_increments) < 3 else \ - ''.join(['\n{}\n ...\n'.format(inc) for inc in all_selected_increments[1:-2]]) + ''.join([f'\n{inc}\n ...\n' for inc in all_selected_increments[1:-2]]) return util.srepr(first + in_between + last) @@ -117,7 +126,7 @@ class Result: """ # allow True/False and string arguments - if datasets is True: + if datasets is True: datasets = ['*'] elif datasets is False: datasets = [] @@ -126,7 +135,7 @@ class Result: if what == 'increments': choice = [c if isinstance(c,str) and c.startswith('inc') else - 'inc{}'.format(c) for c in choice] + f'inc{c}' for c in choice] elif what == 'times': what = 'increments' if choice == ['*']: @@ -136,6 +145,7 @@ class Result: choice = [] for c in iterator: idx = np.searchsorted(self.times,c) + if idx >= len(self.times): continue if np.isclose(c,self.times[idx]): choice.append(self.increments[idx]) elif np.isclose(c,self.times[idx+1]): @@ -156,6 +166,16 @@ class Result: self.selection[what] = diff_sorted + def allow_modification(self): + print(util.bcolors().WARNING+util.bcolors().BOLD+ + 'Warning: Modification of existing datasets allowed!'+ + util.bcolors().ENDC) + self._allow_modification = True + + def disallow_modification(self): + self._allow_modification = False + + def incs_in_range(self,start,end): selected = [] for i,inc in enumerate([int(i[3:]) for i in self.increments]): @@ -242,6 +262,30 @@ class Result: """ self._manage_selection('del',what,datasets) + + def rename(self,name_old,name_new): + """ + Rename datasets. + + Parameters + ---------- + name_old : str + name of the datasets to be renamed + name_new : str + new name of the datasets + + """ + if self._allow_modification: + with h5py.File(self.fname,'a') as f: + for path_old in self.get_dataset_location(name_old): + path_new = os.path.join(os.path.dirname(path_old),name_new) + f[path_new] = f[path_old] + f[path_new].attrs['Renamed'] = 'Original name: {}'.encode() + del f[path_old] + else: + raise PermissionError('Rename operation not permitted') + + # def datamerger(regular expression to filter groups into one copy) @@ -316,9 +360,10 @@ class Result: Return groups that contain all requested datasets. Only groups within - - inc?????/constituent/*_*/* - - inc?????/materialpoint/*_*/* - - inc?????/geometry/* + - inc*/constituent/*/* + - inc*/materialpoint/*/* + - inc*/geometry/* + are considered as they contain user-relevant data. Single strings will be treated as list with one entry. @@ -355,8 +400,9 @@ class Result: if sets is True: groups.append(group) else: - match = [e for e_ in [glob.fnmatch.filter(f[group].keys(),s) for s in sets] for e in e_] - if len(set(match)) == len(sets): groups.append(group) + if group in f.keys(): + match = [e for e_ in [glob.fnmatch.filter(f[group].keys(),s) for s in sets] for e in e_] + if len(set(match)) == len(sets): groups.append(group) return groups @@ -365,18 +411,20 @@ class Result: message = '' with h5py.File(self.fname,'r') as f: for i in self.iterate('increments'): - message += '\n{} ({}s)\n'.format(i,self.times[self.increments.index(i)]) + message += f'\n{i} ({self.times[self.increments.index(i)]}s)\n' for o,p in zip(['constituents','materialpoints'],['con_physics','mat_physics']): + message += f' {o[:-1]}\n' for oo in self.iterate(o): - message += ' {}\n'.format(oo) + message += f' {oo}\n' for pp in self.iterate(p): - message += ' {}\n'.format(pp) + message += f' {pp}\n' group = '/'.join([i,o[:-1],oo,pp]) # o[:-1]: plural/singular issue for d in f[group].keys(): try: dataset = f['/'.join([group,d])] - message += ' {} / ({}): {}\n'.\ - format(d,dataset.attrs['Unit'].decode(),dataset.attrs['Description'].decode()) + unit = f" / {dataset.attrs['Unit'].decode()}" if 'Unit' in dataset.attrs else '' + description = dataset.attrs['Description'].decode() + message += f' {d}{unit}: {description}\n' except KeyError: pass return message @@ -418,6 +466,11 @@ class Result: return f[self.get_dataset_location('orientation')[0]].attrs['Lattice'].astype('str') # np.bytes_ to string + def enable_user_function(self,func): + globals()[func.__name__]=func + print(f'Function {func.__name__} enabled in add_calculation.') + + def read_dataset(self,path,c=0,plain=False): """ Dataset for all points/cells. @@ -456,7 +509,7 @@ class Result: else: return dataset - + @property def cell_coordinates(self): """Return initial coordinates of the cell centers.""" if self.structured: @@ -465,6 +518,7 @@ class Result: with h5py.File(self.fname,'r') as f: return f['geometry/x_c'][()] + @property def node_coordinates(self): """Return initial coordinates of the cell centers.""" if self.structured: @@ -478,11 +532,11 @@ class Result: def _add_absolute(x): return { 'data': np.abs(x['data']), - 'label': '|{}|'.format(x['label']), + 'label': f'|{x["label"]}|', 'meta': { 'Unit': x['meta']['Unit'], - 'Description': 'Absolute value of {} ({})'.format(x['label'],x['meta']['Description']), - 'Creator': 'result.py:add_abs v{}'.format(version) + 'Description': f"Absolute value of {x['label']} ({x['meta']['Description']})", + 'Creator': 'add_absolute' } } def add_absolute(self,x): @@ -502,18 +556,18 @@ class Result: def _add_calculation(**kwargs): formula = kwargs['formula'] for d in re.findall(r'#(.*?)#',formula): - formula = formula.replace('#{}#'.format(d),"kwargs['{}']['data']".format(d)) + formula = formula.replace(f'#{d}#',f"kwargs['{d}']['data']") return { 'data': eval(formula), 'label': kwargs['label'], 'meta': { 'Unit': kwargs['unit'], - 'Description': '{} (formula: {})'.format(kwargs['description'],kwargs['formula']), - 'Creator': 'result.py:add_calculation v{}'.format(version) + 'Description': f"{kwargs['description']} (formula: {kwargs['formula']})", + 'Creator': 'add_calculation' } } - def add_calculation(self,label,formula,unit='n/a',description=None,vectorized=True): + def add_calculation(self,label,formula,unit='n/a',description=None): """ Add result of a general formula. @@ -527,13 +581,8 @@ class Result: Physical unit of the result. description : str, optional Human-readable description of the result. - vectorized : bool, optional - Indicate whether the formula can be used in vectorized form. Defaults to ‘True’. """ - if not vectorized: - raise NotImplementedError - dataset_mapping = {d:d for d in set(re.findall(r'#(.*?)#',formula))} # datasets used in the formula args = {'formula':formula,'label':label,'unit':unit,'description':description} self._add_generic_pointwise(self._add_calculation,dataset_mapping,args) @@ -546,10 +595,10 @@ class Result: 'label': 'sigma', 'meta': { 'Unit': P['meta']['Unit'], - 'Description': 'Cauchy stress calculated from {} ({}) '.format(P['label'], - P['meta']['Description'])+\ - 'and {} ({})'.format(F['label'],F['meta']['Description']), - 'Creator': 'result.py:add_Cauchy v{}'.format(version) + 'Description': "Cauchy stress calculated " + f"from {P['label']} ({P['meta']['Description']})" + f" and {F['label']} ({F['meta']['Description']})", + 'Creator': 'add_Cauchy' } } def add_Cauchy(self,P='P',F='F'): @@ -571,11 +620,11 @@ class Result: def _add_determinant(T): return { 'data': np.linalg.det(T['data']), - 'label': 'det({})'.format(T['label']), + 'label': f"det({T['label']})", 'meta': { 'Unit': T['meta']['Unit'], - 'Description': 'Determinant of tensor {} ({})'.format(T['label'],T['meta']['Description']), - 'Creator': 'result.py:add_determinant v{}'.format(version) + 'Description': f"Determinant of tensor {T['label']} ({T['meta']['Description']})", + 'Creator': 'add_determinant' } } def add_determinant(self,T): @@ -593,16 +642,13 @@ class Result: @staticmethod def _add_deviator(T): - if not T['data'].shape[1:] == (3,3): - raise ValueError - return { 'data': mechanics.deviatoric_part(T['data']), - 'label': 's_{}'.format(T['label']), + 'label': f"s_{T['label']}", 'meta': { 'Unit': T['meta']['Unit'], - 'Description': 'Deviator of tensor {} ({})'.format(T['label'],T['meta']['Description']), - 'Creator': 'result.py:add_deviator v{}'.format(version) + 'Description': f"Deviator of tensor {T['label']} ({T['meta']['Description']})", + 'Creator': 'add_deviator' } } def add_deviator(self,T): @@ -619,17 +665,24 @@ class Result: @staticmethod - def _add_eigenvalue(T_sym): + def _add_eigenvalue(T_sym,eigenvalue): + if eigenvalue == 'max': + label,p = 'Maximum',2 + elif eigenvalue == 'mid': + label,p = 'Intermediate',1 + elif eigenvalue == 'min': + label,p = 'Minimum',0 + return { - 'data': mechanics.eigenvalues(T_sym['data']), - 'label': 'lambda({})'.format(T_sym['label']), + 'data': mechanics.eigenvalues(T_sym['data'])[:,p], + 'label': f"lambda_{eigenvalue}({T_sym['label']})", 'meta' : { 'Unit': T_sym['meta']['Unit'], - 'Description': 'Eigenvalues of {} ({})'.format(T_sym['label'],T_sym['meta']['Description']), - 'Creator': 'result.py:add_eigenvalues v{}'.format(version) + 'Description': f"{label} eigenvalue of {T_sym['label']} ({T_sym['meta']['Description']})", + 'Creator': 'add_eigenvalue' } } - def add_eigenvalues(self,T_sym): + def add_eigenvalue(self,T_sym,eigenvalue='max'): """ Add eigenvalues of symmetric tensor. @@ -637,59 +690,65 @@ class Result: ---------- T_sym : str Label of symmetric tensor dataset. + eigenvalue : str, optional + Eigenvalue. Select from ‘max’, ‘mid’, ‘min’. Defaults to ‘max’. """ - self._add_generic_pointwise(self._add_eigenvalue,{'T_sym':T_sym}) + self._add_generic_pointwise(self._add_eigenvalue,{'T_sym':T_sym},{'eigenvalue':eigenvalue}) @staticmethod - def _add_eigenvector(T_sym): + def _add_eigenvector(T_sym,eigenvalue): + if eigenvalue == 'max': + label,p = 'maximum',2 + elif eigenvalue == 'mid': + label,p = 'intermediate',1 + elif eigenvalue == 'min': + label,p = 'minimum',0 return { - 'data': mechanics.eigenvectors(T_sym['data']), - 'label': 'v({})'.format(T_sym['label']), + 'data': mechanics.eigenvectors(T_sym['data'])[:,p], + 'label': f"v_{eigenvalue}({T_sym['label']})", 'meta' : { 'Unit': '1', - 'Description': 'Eigenvectors of {} ({})'.format(T_sym['label'],T_sym['meta']['Description']), - 'Creator': 'result.py:add_eigenvectors v{}'.format(version) + 'Description': f"Eigenvector corresponding to {label} eigenvalue" + f" of {T_sym['label']} ({T_sym['meta']['Description']})", + 'Creator': 'add_eigenvector' } - } - def add_eigenvectors(self,T_sym): + } + def add_eigenvector(self,T_sym,eigenvalue='max'): """ - Add eigenvectors of symmetric tensor. + Add eigenvector of symmetric tensor. Parameters ---------- T_sym : str Label of symmetric tensor dataset. + eigenvalue : str, optional + Eigenvalue to which the eigenvector corresponds. Select from + ‘max’, ‘mid’, ‘min’. Defaults to ‘max’. """ - self._add_generic_pointwise(self._add_eigenvector,{'T_sym':T_sym}) + self._add_generic_pointwise(self._add_eigenvector,{'T_sym':T_sym},{'eigenvalue':eigenvalue}) @staticmethod - def _add_IPFcolor(q,l): - d = np.array(l) - d_unit = d/np.linalg.norm(d) - m = util.scale_to_coprime(d) - colors = np.empty((len(q['data']),3),np.uint8) + def _add_IPF_color(q,l): + m = util.scale_to_coprime(np.array(l)) - lattice = q['meta']['Lattice'] - - for i,qu in enumerate(q['data']): - o = Orientation(np.array([qu['w'],qu['x'],qu['y'],qu['z']]),lattice).reduced() - colors[i] = np.uint8(o.IPFcolor(d_unit)*255) + o = Orientation(Rotation(rfn.structured_to_unstructured(q['data'])), + lattice = q['meta']['Lattice']) return { - 'data': colors, + 'data': np.uint8(o.IPF_color(l)*255), 'label': 'IPFcolor_[{} {} {}]'.format(*m), 'meta' : { - 'Unit': 'RGB (8bit)', - 'Lattice': lattice, + 'Unit': '8-bit RGB', + 'Lattice': q['meta']['Lattice'], 'Description': 'Inverse Pole Figure (IPF) colors along sample direction [{} {} {}]'.format(*m), - 'Creator': 'result.py:add_IPFcolor v{}'.format(version) + 'Creator': 'add_IPF_color' } } - def add_IPFcolor(self,q,l): + def add_IPF_color(self,q,l): """ Add RGB color tuple of inverse pole figure (IPF) color. @@ -701,18 +760,18 @@ class Result: Lab frame direction for inverse pole figure. """ - self._add_generic_pointwise(self._add_IPFcolor,{'q':q},{'l':l}) + self._add_generic_pointwise(self._add_IPF_color,{'q':q},{'l':l}) @staticmethod def _add_maximum_shear(T_sym): return { 'data': mechanics.maximum_shear(T_sym['data']), - 'label': 'max_shear({})'.format(T_sym['label']), + 'label': f"max_shear({T_sym['label']})", 'meta': { 'Unit': T_sym['meta']['Unit'], - 'Description': 'Maximum shear component of {} ({})'.format(T_sym['label'],T_sym['meta']['Description']), - 'Creator': 'result.py:add_maximum_shear v{}'.format(version) + 'Description': f"Maximum shear component of {T_sym['label']} ({T_sym['meta']['Description']})", + 'Creator': 'add_maximum_shear' } } def add_maximum_shear(self,T_sym): @@ -734,12 +793,12 @@ class Result: 'stress' return { - 'data': mechanics.Mises_strain(T_sym['data']) if t=='strain' else mechanics.Mises_stress(T_sym['data']), - 'label': '{}_vM'.format(T_sym['label']), + 'data': (mechanics.Mises_strain if t=='strain' else mechanics.Mises_stress)(T_sym['data']), + 'label': f"{T_sym['label']}_vM", 'meta': { 'Unit': T_sym['meta']['Unit'], - 'Description': 'Mises equivalent {} of {} ({})'.format(t,T_sym['label'],T_sym['meta']['Description']), - 'Creator': 'result.py:add_Mises v{}'.format(version) + 'Description': f"Mises equivalent {t} of {T_sym['label']} ({T_sym['meta']['Description']})", + 'Creator': 'add_Mises' } } def add_Mises(self,T_sym): @@ -771,11 +830,11 @@ class Result: return { 'data': np.linalg.norm(x['data'],ord=o,axis=axis,keepdims=True), - 'label': '|{}|_{}'.format(x['label'],o), + 'label': f"|{x['label']}|_{o}", 'meta': { 'Unit': x['meta']['Unit'], - 'Description': '{}-norm of {} {} ({})'.format(o,t,x['label'],x['meta']['Description']), - 'Creator': 'result.py:add_norm v{}'.format(version) + 'Description': f"{o}-norm of {t} {x['label']} ({x['meta']['Description']})", + 'Creator': 'add_norm' } } def add_norm(self,x,ord=None): @@ -800,20 +859,20 @@ class Result: 'label': 'S', 'meta': { 'Unit': P['meta']['Unit'], - 'Description': '2. Kirchhoff stress calculated from {} ({}) '.format(P['label'], - P['meta']['Description'])+\ - 'and {} ({})'.format(F['label'],F['meta']['Description']), - 'Creator': 'result.py:add_PK2 v{}'.format(version) + 'Description': "2. Piola-Kirchhoff stress calculated " + f"from {P['label']} ({P['meta']['Description']})" + f" and {F['label']} ({F['meta']['Description']})", + 'Creator': 'add_PK2' } } def add_PK2(self,P='P',F='F'): """ - Add second Piola-Kirchhoff calculated from first Piola-Kirchhoff stress and deformation gradient. + Add second Piola-Kirchhoff stress calculated from first Piola-Kirchhoff stress and deformation gradient. Parameters ---------- P : str, optional - Label first Piola-Kirchhoff stress dataset. Defaults to ‘P’. + Label of first Piola-Kirchhoff stress dataset. Defaults to ‘P’. F : str, optional Label of deformation gradient dataset. Defaults to ‘F’. @@ -826,22 +885,20 @@ class Result: pole = np.array(p) unit_pole = pole/np.linalg.norm(pole) m = util.scale_to_coprime(pole) - coords = np.empty((len(q['data']),2)) - - for i,qu in enumerate(q['data']): - o = Rotation(np.array([qu['w'],qu['x'],qu['y'],qu['z']])) - rotatedPole = o*unit_pole # rotate pole according to crystal orientation - (x,y) = rotatedPole[0:2]/(1.+abs(unit_pole[2])) # stereographic projection - coords[i] = [np.sqrt(x*x+y*y),np.arctan2(y,x)] if polar else [x,y] + rot = Rotation(q['data'].view(np.double).reshape(-1,4)) + rotatedPole = rot @ np.broadcast_to(unit_pole,rot.shape+(3,)) # rotate pole according to crystal orientation + xy = rotatedPole[:,0:2]/(1.+abs(unit_pole[2])) # stereographic projection + coords = xy if not polar else \ + np.block([np.sqrt(xy[:,0:1]*xy[:,0:1]+xy[:,1:2]*xy[:,1:2]),np.arctan2(xy[:,1:2],xy[:,0:1])]) return { 'data': coords, 'label': 'p^{}_[{} {} {})'.format(u'rφ' if polar else 'xy',*m), 'meta' : { - 'Unit': '1', + 'Unit': '1', 'Description': '{} coordinates of stereographic projection of pole (direction/plane) in crystal frame'\ .format('Polar' if polar else 'Cartesian'), - 'Creator' : 'result.py:add_pole v{}'.format(version) + 'Creator': 'add_pole' } } def add_pole(self,q,p,polar=False): @@ -863,15 +920,13 @@ class Result: @staticmethod def _add_rotational_part(F): - if not F['data'].shape[1:] == (3,3): - raise ValueError return { 'data': mechanics.rotational_part(F['data']), - 'label': 'R({})'.format(F['label']), + 'label': f"R({F['label']})", 'meta': { 'Unit': F['meta']['Unit'], - 'Description': 'Rotational part of {} ({})'.format(F['label'],F['meta']['Description']), - 'Creator': 'result.py:add_rotational_part v{}'.format(version) + 'Description': f"Rotational part of {F['label']} ({F['meta']['Description']})", + 'Creator': 'add_rotational_part' } } def add_rotational_part(self,F): @@ -889,16 +944,13 @@ class Result: @staticmethod def _add_spherical(T): - if not T['data'].shape[1:] == (3,3): - raise ValueError - return { 'data': mechanics.spherical_part(T['data']), - 'label': 'p_{}'.format(T['label']), + 'label': f"p_{T['label']}", 'meta': { 'Unit': T['meta']['Unit'], - 'Description': 'Spherical component of tensor {} ({})'.format(T['label'],T['meta']['Description']), - 'Creator': 'result.py:add_spherical v{}'.format(version) + 'Description': f"Spherical component of tensor {T['label']} ({T['meta']['Description']})", + 'Creator': 'add_spherical' } } def add_spherical(self,T): @@ -916,16 +968,13 @@ class Result: @staticmethod def _add_strain_tensor(F,t,m): - if not F['data'].shape[1:] == (3,3): - raise ValueError - return { 'data': mechanics.strain_tensor(F['data'],t,m), - 'label': 'epsilon_{}^{}({})'.format(t,m,F['label']), + 'label': f"epsilon_{t}^{m}({F['label']})", 'meta': { 'Unit': F['meta']['Unit'], - 'Description': 'Strain tensor of {} ({})'.format(F['label'],F['meta']['Description']), - 'Creator': 'result.py:add_strain_tensor v{}'.format(version) + 'Description': f"Strain tensor of {F['label']} ({F['meta']['Description']})", + 'Creator': 'add_strain_tensor' } } def add_strain_tensor(self,F='F',t='V',m=0.0): @@ -950,17 +999,14 @@ class Result: @staticmethod def _add_stretch_tensor(F,t): - if not F['data'].shape[1:] == (3,3): - raise ValueError - return { - 'data': mechanics.left_stretch(F['data']) if t == 'V' else mechanics.right_stretch(F['data']), - 'label': '{}({})'.format(t,F['label']), + 'data': (mechanics.left_stretch if t.upper() == 'V' else mechanics.right_stretch)(F['data']), + 'label': f"{t}({F['label']})", 'meta': { 'Unit': F['meta']['Unit'], - 'Description': '{} stretch tensor of {} ({})'.format('Left' if t == 'V' else 'Right', + 'Description': '{} stretch tensor of {} ({})'.format('Left' if t.upper() == 'V' else 'Right', F['label'],F['meta']['Description']), - 'Creator': 'result.py:add_stretch_tensor v{}'.format(version) + 'Creator': 'add_stretch_tensor' } } def add_stretch_tensor(self,F='F',t='V'): @@ -994,7 +1040,7 @@ class Result: r = func(**datasets_in,**args) return [group,r] except Exception as err: - print('Error during calculation: {}.'.format(err)) + print(f'Error during calculation: {err}.') return None @@ -1005,17 +1051,24 @@ class Result: Parameters ---------- func : function - Callback function that calculates a new dataset from one or more datasets per HDF5 group. + Callback function that calculates a new dataset from one or + more datasets per HDF5 group. datasets : dictionary - Details of the datasets to be used: label (in HDF5 file) and arg (argument to which the data is parsed in func). + Details of the datasets to be used: label (in HDF5 file) and + arg (argument to which the data is parsed in func). args : dictionary, optional Arguments parsed to func. """ - pool = multiprocessing.Pool(int(Environment().options['DAMASK_NUM_THREADS'])) - lock = multiprocessing.Manager().Lock() + num_threads = damask.environment.options['DAMASK_NUM_THREADS'] + pool = mp.Pool(int(num_threads) if num_threads is not None else None) + lock = mp.Manager().Lock() groups = self.groups_with_datasets(datasets.values()) + if len(groups) == 0: + print('No matching dataset found, no data was added.') + return + default_arg = partial(self._job,func=func,datasets=datasets,args=args,lock=lock) for result in util.show_progress(pool.imap_unordered(default_arg,groups),len(groups)): @@ -1023,19 +1076,127 @@ class Result: continue lock.acquire() with h5py.File(self.fname, 'a') as f: - try: # ToDo: Replace if exists? - dataset = f[result[0]].create_dataset(result[1]['label'],data=result[1]['data']) + try: + if self._allow_modification and result[0]+'/'+result[1]['label'] in f: + dataset = f[result[0]+'/'+result[1]['label']] + dataset[...] = result[1]['data'] + dataset.attrs['Overwritten'] = 'Yes'.encode() + else: + dataset = f[result[0]].create_dataset(result[1]['label'],data=result[1]['data']) + + now = datetime.datetime.now().astimezone() + dataset.attrs['Created'] = now.strftime('%Y-%m-%d %H:%M:%S%z').encode() + for l,v in result[1]['meta'].items(): dataset.attrs[l]=v.encode() - except OSError as err: - print('Could not add dataset: {}.'.format(err)) + creator = f"damask.Result.{dataset.attrs['Creator'].decode()} v{damask.version}" + dataset.attrs['Creator'] = creator.encode() + + except (OSError,RuntimeError) as err: + print(f'Could not add dataset: {err}.') lock.release() pool.close() pool.join() - def to_vtk(self,labels=[],mode='cell'): + def save_XDMF(self): + """ + Write XDMF file to directly visualize data in DADF5 file. + + This works only for scalar, 3-vector and 3x3-tensor data. + Selection is not taken into account. + """ + if len(self.constituents) != 1 or not self.structured: + raise NotImplementedError('XDMF only available for grid results with 1 constituent.') + + xdmf=ET.Element('Xdmf') + xdmf.attrib={'Version': '2.0', + 'xmlns:xi': 'http://www.w3.org/2001/XInclude'} + + domain=ET.SubElement(xdmf, 'Domain') + + collection = ET.SubElement(domain, 'Grid') + collection.attrib={'GridType': 'Collection', + 'CollectionType': 'Temporal'} + + time = ET.SubElement(collection, 'Time') + time.attrib={'TimeType': 'List'} + + time_data = ET.SubElement(time, 'DataItem') + time_data.attrib={'Format': 'XML', + 'NumberType': 'Float', + 'Dimensions': f'{len(self.times)}'} + time_data.text = ' '.join(map(str,self.times)) + + attributes = [] + data_items = [] + + for inc in self.increments: + + grid=ET.SubElement(collection,'Grid') + grid.attrib = {'GridType': 'Uniform', + 'Name': inc} + + topology=ET.SubElement(grid, 'Topology') + topology.attrib={'TopologyType': '3DCoRectMesh', + 'Dimensions': '{} {} {}'.format(*self.grid+1)} + + geometry=ET.SubElement(grid, 'Geometry') + geometry.attrib={'GeometryType':'Origin_DxDyDz'} + + origin=ET.SubElement(geometry, 'DataItem') + origin.attrib={'Format': 'XML', + 'NumberType': 'Float', + 'Dimensions': '3'} + origin.text="{} {} {}".format(*self.origin) + + delta=ET.SubElement(geometry, 'DataItem') + delta.attrib={'Format': 'XML', + 'NumberType': 'Float', + 'Dimensions': '3'} + delta.text="{} {} {}".format(*(self.size/self.grid)) + + + with h5py.File(self.fname,'r') as f: + attributes.append(ET.SubElement(grid, 'Attribute')) + attributes[-1].attrib={'Name': 'u', + 'Center': 'Node', + 'AttributeType': 'Vector'} + data_items.append(ET.SubElement(attributes[-1], 'DataItem')) + data_items[-1].attrib={'Format': 'HDF', + 'Precision': '8', + 'Dimensions': '{} {} {} 3'.format(*(self.grid+1))} + data_items[-1].text=f'{os.path.split(self.fname)[1]}:/{inc}/geometry/u_n' + + for o,p in zip(['constituents','materialpoints'],['con_physics','mat_physics']): + for oo in getattr(self,o): + for pp in getattr(self,p): + g = '/'.join([inc,o[:-1],oo,pp]) + for l in f[g]: + name = '/'.join([g,l]) + shape = f[name].shape[1:] + dtype = f[name].dtype + prec = f[name].dtype.itemsize + + if (shape not in [(1,), (3,), (3,3)]) or dtype != np.float64: continue + + attributes.append(ET.SubElement(grid, 'Attribute')) + attributes[-1].attrib={'Name': name.split('/',2)[2], + 'Center': 'Cell', + 'AttributeType': 'Tensor'} + data_items.append(ET.SubElement(attributes[-1], 'DataItem')) + data_items[-1].attrib={'Format': 'HDF', + 'NumberType': 'Float', + 'Precision': f'{prec}', + 'Dimensions': '{} {} {} {}'.format(*self.grid,np.prod(shape))} + data_items[-1].text=f'{os.path.split(self.fname)[1]}:{name}' + + with open(self.fname.with_suffix('.xdmf').name,'w') as f: + f.write(xml.dom.minidom.parseString(ET.tostring(xdmf).decode()).toprettyxml()) + + + def save_vtk(self,labels=[],mode='cell'): """ Export to vtk cell/point data. @@ -1051,16 +1212,16 @@ class Result: if mode.lower()=='cell': if self.structured: - v = VTK.from_rectilinearGrid(self.grid,self.size,self.origin) + v = VTK.from_rectilinear_grid(self.grid,self.size,self.origin) else: with h5py.File(self.fname,'r') as f: - v = VTK.from_unstructuredGrid(f['/geometry/x_n'][()], - f['/geometry/T_c'][()]-1, - f['/geometry/T_c'].attrs['VTK_TYPE'].decode()) + v = VTK.from_unstructured_grid(f['/geometry/x_n'][()], + f['/geometry/T_c'][()]-1, + f['/geometry/T_c'].attrs['VTK_TYPE'].decode()) elif mode.lower()=='point': - v = VTK.from_polyData(self.cell_coordinates()) + v = VTK.from_poly_data(self.cell_coordinates) - N_digits = int(np.floor(np.log10(int(self.increments[-1][3:]))))+1 + N_digits = int(np.floor(np.log10(max(1,int(self.increments[-1][3:])))))+1 for inc in util.show_progress(self.iterate('increments'),len(self.selection['increments'])): @@ -1107,32 +1268,4 @@ class Result: u = self.read_dataset(self.get_dataset_location('u_n' if mode.lower() == 'cell' else 'u_p')) v.add(u,'u') - file_out = '{}_inc{}'.format(os.path.splitext(os.path.basename(self.fname))[0], - inc[3:].zfill(N_digits)) - - v.write(file_out) - -################################################################################################### -# BEGIN DEPRECATED - - def _time_to_inc(self,start,end): - selected = [] - for i,time in enumerate(self.times): - if start <= time <= end: - selected.append(self.increments[i]) - return selected - - - def set_by_time(self,start,end): - """ - Set active increments based on start and end time. - - Parameters - ---------- - start : float - start time (included) - end : float - end time (included) - - """ - self._manage_selection('set','increments',self._time_to_inc(start,end)) + v.save(f'{self.fname.stem}_inc{inc[3:].zfill(N_digits)}') diff --git a/python/damask/_rotation.py b/python/damask/_rotation.py index a13a9af0b..b0c9dab5b 100644 --- a/python/damask/_rotation.py +++ b/python/damask/_rotation.py @@ -1,6 +1,8 @@ import numpy as np from . import mechanics +from . import util +from . import grid_filters _P = -1 @@ -9,38 +11,35 @@ _sc = np.pi**(1./6.)/6.**(1./6.) _beta = np.pi**(5./6.)/6.**(1./6.)/2. _R1 = (3.*np.pi/4.)**(1./3.) -def iszero(a): - return np.isclose(a,0.0,atol=1.0e-12,rtol=0.0) - - class Rotation: u""" Orientation stored with functionality for conversion to different representations. + The following conventions apply: + + - coordinate frames are right-handed. + - a rotation angle ω is taken to be positive for a counterclockwise rotation + when viewing from the end point of the rotation axis towards the origin. + - rotations will be interpreted in the passive sense. + - Euler angle triplets are implemented using the Bunge convention, + with the angular ranges as [0,2π], [0,π], [0,2π]. + - the rotation angle ω is limited to the interval [0,π]. + - the real part of a quaternion is positive, Re(q) > 0 + - P = -1 (as default). + + Examples + -------- + Rotate vector "a" (defined in coordinate system "A") to + coordinates "b" expressed in system "B": + + - b = Q @ a + - b = np.dot(Q.asMatrix(),a) + References ---------- D. Rowenhorst et al., Modelling and Simulation in Materials Science and Engineering 23:083501, 2015 https://doi.org/10.1088/0965-0393/23/8/083501 - Conventions - ----------- - Convention 1: Coordinate frames are right-handed. - Convention 2: A rotation angle ω is taken to be positive for a counterclockwise rotation - when viewing from the end point of the rotation axis towards the origin. - Convention 3: Rotations will be interpreted in the passive sense. - Convention 4: Euler angle triplets are implemented using the Bunge convention, - with the angular ranges as [0, 2π],[0, π],[0, 2π]. - Convention 5: The rotation angle ω is limited to the interval [0, π]. - Convention 6: the real part of a quaternion is positive, Re(q) > 0 - Convention 7: P = -1 (as default). - - Usage - ----- - Vector "a" (defined in coordinate system "A") is passively rotated - resulting in new coordinates "b" when expressed in system "B". - b = Q * a - b = np.dot(Q.asMatrix(),a) - """ __slots__ = ['quaternion'] @@ -52,11 +51,21 @@ class Rotation: Parameters ---------- quaternion : numpy.ndarray, optional - Unit quaternion that follows the conventions. Use .fromQuaternion to perform a sanity check. + Unit quaternion in positive real hemisphere. + Use .from_quaternion to perform a sanity check. """ + if quaternion.shape[-1] != 4: + raise ValueError('Not a quaternion') self.quaternion = quaternion.copy() + + @property + def shape(self): + return self.quaternion.shape[:-1] + + + # ToDo: Check difference __copy__ vs __deepcopy__ def __copy__(self): """Copy.""" return self.__class__(self.quaternion) @@ -67,80 +76,92 @@ class Rotation: def __repr__(self): """Orientation displayed as unit quaternion, rotation matrix, and Bunge-Euler angles.""" if self.quaternion.shape != (4,): - raise NotImplementedError('Support for multiple rotations missing') + return 'Quaternions:\n'+str(self.quaternion) # ToDo: could be nicer ... return '\n'.join([ 'Quaternion: (real={:.3f}, imag=<{:+.3f}, {:+.3f}, {:+.3f}>)'.format(*(self.quaternion)), - 'Matrix:\n{}'.format(self.asMatrix()), - 'Bunge Eulers / deg: ({:3.2f}, {:3.2f}, {:3.2f})'.format(*self.asEulers(degrees=True)), + 'Matrix:\n{}'.format(np.round(self.as_matrix(),8)), + 'Bunge Eulers / deg: ({:3.2f}, {:3.2f}, {:3.2f})'.format(*self.as_Eulers(degrees=True)), ]) - def __mul__(self, other): + def __getitem__(self,item): + """Iterate over leading/leftmost dimension of Rotation array.""" + if self.shape == (): return self.copy() + if isinstance(item,tuple) and len(item) >= len(self): + raise IndexError('Too many indices') + return self.__class__(self.quaternion[item]) + + + def __len__(self): + """Length of leading/leftmost dimension of Rotation array.""" + return 0 if self.shape == () else self.shape[0] + + + def __matmul__(self, other): """ - Multiplication. + Rotation of vector, second or fourth order tensor, or rotation object. Parameters ---------- other : numpy.ndarray or Rotation Vector, second or fourth order tensor, or rotation object that is rotated. - Todo - ---- - Document details active/passive) - considere rotation of (3,3,3,3)-matrix + Returns + ------- + other_rot : numpy.ndarray or Rotation + Rotated vector, second or fourth order tensor, or rotation object. """ - if self.quaternion.shape != (4,): - raise NotImplementedError('Support for multiple rotations missing') - if isinstance(other, Rotation): # rotate a rotation - self_q = self.quaternion[0] - self_p = self.quaternion[1:] - other_q = other.quaternion[0] - other_p = other.quaternion[1:] - R = self.__class__(np.append(self_q*other_q - np.dot(self_p,other_p), - self_q*other_p + other_q*self_p + _P * np.cross(self_p,other_p))) - return R.standardize() - elif isinstance(other, (tuple,np.ndarray)): - if isinstance(other,tuple) or other.shape == (3,): # rotate a single (3)-vector or meshgrid - A = self.quaternion[0]**2.0 - np.dot(self.quaternion[1:],self.quaternion[1:]) - B = 2.0 * ( self.quaternion[1]*other[0] - + self.quaternion[2]*other[1] - + self.quaternion[3]*other[2]) - C = 2.0 * _P*self.quaternion[0] + if isinstance(other, Rotation): + q_m = self.quaternion[...,0:1] + p_m = self.quaternion[...,1:] + q_o = other.quaternion[...,0:1] + p_o = other.quaternion[...,1:] + q = (q_m*q_o - np.einsum('...i,...i',p_m,p_o).reshape(self.shape+(1,))) + p = q_m*p_o + q_o*p_m + _P * np.cross(p_m,p_o) + return self.__class__(np.block([q,p]))._standardize() - return np.array([ - A*other[0] + B*self.quaternion[1] + C*(self.quaternion[2]*other[2] - self.quaternion[3]*other[1]), - A*other[1] + B*self.quaternion[2] + C*(self.quaternion[3]*other[0] - self.quaternion[1]*other[2]), - A*other[2] + B*self.quaternion[3] + C*(self.quaternion[1]*other[1] - self.quaternion[2]*other[0]), - ]) - elif other.shape == (3,3,): # rotate a single (3x3)-matrix - return np.dot(self.asMatrix(),np.dot(other,self.asMatrix().T)) - elif other.shape == (3,3,3,3,): - raise NotImplementedError('Support for rotation of 4th order tensors missing') + elif isinstance(other,np.ndarray): + if self.shape + (3,) == other.shape: + q_m = self.quaternion[...,0] + p_m = self.quaternion[...,1:] + A = q_m**2.0 - np.einsum('...i,...i',p_m,p_m) + B = 2.0 * np.einsum('...i,...i',p_m,other) + C = 2.0 * _P * q_m + return np.block([(A * other[...,i]).reshape(self.shape+(1,)) + + (B * p_m[...,i]).reshape(self.shape+(1,)) + + (C * ( p_m[...,(i+1)%3]*other[...,(i+2)%3]\ + - p_m[...,(i+2)%3]*other[...,(i+1)%3])).reshape(self.shape+(1,)) + for i in [0,1,2]]) + if self.shape + (3,3) == other.shape: + R = self.as_matrix() + return np.einsum('...im,...jn,...mn',R,R,other) + if self.shape + (3,3,3,3) == other.shape: + R = self.as_matrix() + return np.einsum('...im,...jn,...ko,...lp,...mnop',R,R,R,R,other) else: - return NotImplemented + raise ValueError('Can only rotate vectors, 2nd order tensors, and 4th order tensors') else: - return NotImplemented + raise TypeError(f'Cannot rotate {type(other)}') - def inverse(self): - """In-place inverse rotation/backward rotation.""" - self.quaternion[...,1:] *= -1 - return self - - def inversed(self): - """Inverse rotation/backward rotation.""" - return self.copy().inverse() - - - def standardize(self): - """In-place quaternion representation with positive real part.""" + def _standardize(self): + """Standardize (ensure positive real hemisphere).""" self.quaternion[self.quaternion[...,0] < 0.0] *= -1 return self - def standardized(self): - """Quaternion representation with positive real part.""" - return self.copy().standardize() + def inverse(self): + """In-place inverse rotation (backward rotation).""" + self.quaternion[...,1:] *= -1 + return self + + def __invert__(self): + """Inverse rotation (backward rotation).""" + return self.copy().inverse() + + def inversed(self): + """Inverse rotation (backward rotation).""" + return ~ self def misorientation(self,other): @@ -153,10 +174,22 @@ class Rotation: Rotation to which the misorientation is computed. """ - return other*self.inversed() + return other@~self - def average(self,other): + def broadcast_to(self,shape): + if isinstance(shape,(int,np.integer)): shape = (shape,) + if self.shape == (): + q = np.broadcast_to(self.quaternion,shape+(4,)) + else: + q = np.block([np.broadcast_to(self.quaternion[...,0:1],shape).reshape(shape+(1,)), + np.broadcast_to(self.quaternion[...,1:2],shape).reshape(shape+(1,)), + np.broadcast_to(self.quaternion[...,2:3],shape).reshape(shape+(1,)), + np.broadcast_to(self.quaternion[...,3:4],shape).reshape(shape+(1,))]) + return self.__class__(q) + + + def average(self,other): #ToDo: discuss calling for vectors """ Calculate the average rotation. @@ -168,7 +201,7 @@ class Rotation: """ if self.quaternion.shape != (4,) or other.quaternion.shape != (4,): raise NotImplementedError('Support for multiple rotations missing') - return Rotation.fromAverage([self,other]) + return Rotation.from_average([self,other]) ################################################################################################ @@ -176,28 +209,34 @@ class Rotation: def as_quaternion(self): """ - Unit quaternion [q, p_1, p_2, p_3]. + Represent as unit quaternion. - Parameters - ---------- - quaternion : bool, optional - return quaternion as DAMASK object. + Returns + ------- + q : numpy.ndarray of shape (...,4) + Unit quaternion in positive real hemisphere: (q_0, q_1, q_2, q_3), ǀqǀ=1, q_0 ≥ 0. """ - return self.quaternion + return self.quaternion.copy() def as_Eulers(self, degrees = False): """ - Bunge-Euler angles: (φ_1, ϕ, φ_2). + Represent as Bunge-Euler angles. Parameters ---------- degrees : bool, optional - return angles in degrees. + Return angles in degrees. + + Returns + ------- + phi : numpy.ndarray of shape (...,3) + Bunge-Euler angles: (φ_1, ϕ, φ_2), φ_1 ∈ [0,2π], ϕ ∈ [0,π], φ_2 ∈ [0,2π] + unless degrees == True: φ_1 ∈ [0,360], ϕ ∈ [0,180], φ_2 ∈ [0,360] """ - eu = Rotation.qu2eu(self.quaternion) + eu = Rotation._qu2eu(self.quaternion) if degrees: eu = np.degrees(eu) return eu @@ -205,46 +244,89 @@ class Rotation: degrees = False, pair = False): """ - Axis angle representation [n_1, n_2, n_3, ω] unless pair == True: ([n_1, n_2, n_3], ω). + Represent as axis angle pair. Parameters ---------- degrees : bool, optional - return rotation angle in degrees. + Return rotation angle in degrees. Defaults to False. pair : bool, optional - return tuple of axis and angle. + Return tuple of axis and angle. Defaults to False. + + Returns + ------- + axis_angle : numpy.ndarray of shape (...,4) unless pair == True: + tuple containing numpy.ndarray of shapes (...,3) and (...) + Axis angle pair: (n_1, n_2, n_3, ω), ǀnǀ = 1 and ω ∈ [0,π] + unless degrees = True: ω ∈ [0,180]. """ - ax = Rotation.qu2ax(self.quaternion) + ax = Rotation._qu2ax(self.quaternion) if degrees: ax[...,3] = np.degrees(ax[...,3]) return (ax[...,:3],ax[...,3]) if pair else ax def as_matrix(self): - """Rotation matrix.""" - return Rotation.qu2om(self.quaternion) + """ + Represent as rotation matrix. + + Returns + ------- + R : numpy.ndarray of shape (...,3,3) + Rotation matrix R, det(R) = 1, R.T∙R=I. + + """ + return Rotation._qu2om(self.quaternion) def as_Rodrigues(self, vector = False): """ - Rodrigues-Frank vector representation [n_1, n_2, n_3, tan(ω/2)] unless vector == True: [n_1, n_2, n_3] * tan(ω/2). + Represent as Rodrigues-Frank vector with separated axis and angle argument. Parameters ---------- vector : bool, optional - return as actual Rodrigues--Frank vector, i.e. rotation axis scaled by tan(ω/2). + Return as actual Rodrigues-Frank vector, i.e. axis + and angle argument are not separated. + + Returns + ------- + rho : numpy.ndarray of shape (...,4) unless vector == True: + numpy.ndarray of shape (...,3) + Rodrigues-Frank vector: [n_1, n_2, n_3, tan(ω/2)], ǀnǀ = 1 and ω ∈ [0,π]. """ - ro = Rotation.qu2ro(self.quaternion) - return ro[...,:3]*ro[...,3] if vector else ro + ro = Rotation._qu2ro(self.quaternion) + if vector: + with np.errstate(invalid='ignore'): + return ro[...,:3]*ro[...,3:4] + else: + return ro def as_homochoric(self): - """Homochoric vector: (h_1, h_2, h_3).""" - return Rotation.qu2ho(self.quaternion) + """ + Represent as homochoric vector. + + Returns + ------- + h : numpy.ndarray of shape (...,3) + Homochoric vector: (h_1, h_2, h_3), ǀhǀ < 1/2*π^(2/3). + + """ + return Rotation._qu2ho(self.quaternion) def as_cubochoric(self): - """Cubochoric vector: (c_1, c_2, c_3).""" - return Rotation.qu2cu(self.quaternion) + """ + Represent as cubochoric vector. + Returns + ------- + c : numpy.ndarray of shape (...,3) + Cubochoric vector: (c_1, c_2, c_3), max(c_i) < 1/2*π^(2/3). + + """ + return Rotation._qu2cu(self.quaternion) + + @property def M(self): # ToDo not sure about the name: as_M or M? we do not have a from_M """ Intermediate representation supporting quaternion averaging. @@ -257,30 +339,40 @@ class Rotation: """ return np.einsum('...i,...j',self.quaternion,self.quaternion) - # for compatibility (old names do not follow convention) - asM = M - asQuaternion = as_quaternion - asEulers = as_Eulers - asAxisAngle = as_axis_angle - asMatrix = as_matrix - asRodrigues = as_Rodrigues - asHomochoric = as_homochoric - asCubochoric = as_cubochoric ################################################################################################ # Static constructors. The input data needs to follow the conventions, options allow to # relax the conventions. @staticmethod - def from_quaternion(quaternion, - acceptHomomorph = False, - P = -1): + def from_quaternion(q, + accept_homomorph = False, + P = -1, + acceptHomomorph = None): # old name (for compatibility) + """ + Initialize from quaternion. - qu = np.array(quaternion,dtype=float) + Parameters + ---------- + q : numpy.ndarray of shape (...,4) + Unit quaternion in positive real hemisphere: (q_0, q_1, q_2, q_3), + ǀqǀ=1, q_0 ≥ 0. + accept_homomorph : boolean, optional + Allow homomorphic variants, i.e. q_0 < 0 (negative real hemisphere). + Defaults to False. + P : int ∈ {-1,1}, optional + Convention used. Defaults to -1. + + """ + if acceptHomomorph is not None: + accept_homomorph = acceptHomomorph # for compatibility + qu = np.array(q,dtype=float) if qu.shape[:-2:-1] != (4,): raise ValueError('Invalid shape.') + if abs(P) != 1: + raise ValueError('P ∉ {-1,1}') - if P > 0: qu[...,1:4] *= -1 # convert from P=1 to P=-1 - if acceptHomomorph: + if P == 1: qu[...,1:4] *= -1 + if accept_homomorph: qu[qu[...,0] < 0.0] *= -1 else: if np.any(qu[...,0] < 0.0): @@ -291,10 +383,21 @@ class Rotation: return Rotation(qu) @staticmethod - def from_Eulers(eulers, + def from_Eulers(phi, degrees = False): + """ + Initialize from Bunge-Euler angles. - eu = np.array(eulers,dtype=float) + Parameters + ---------- + phi : numpy.ndarray of shape (...,3) + Bunge-Euler angles: (φ_1, ϕ, φ_2), φ_1 ∈ [0,2π], ϕ ∈ [0,π], φ_2 ∈ [0,2π] + unless degrees == True: φ_1 ∈ [0,360], ϕ ∈ [0,180], φ_2 ∈ [0,360]. + degrees : boolean, optional + Bunge-Euler angles are given in degrees. Defaults to False. + + """ + eu = np.array(phi,dtype=float) if eu.shape[:-2:-1] != (3,): raise ValueError('Invalid shape.') @@ -302,33 +405,63 @@ class Rotation: if np.any(eu < 0.0) or np.any(eu > 2.0*np.pi) or np.any(eu[...,1] > np.pi): # ToDo: No separate check for PHI raise ValueError('Euler angles outside of [0..2π],[0..π],[0..2π].') - return Rotation(Rotation.eu2qu(eu)) + return Rotation(Rotation._eu2qu(eu)) @staticmethod def from_axis_angle(axis_angle, degrees = False, - normalise = False, + normalize = False, P = -1): + """ + Initialize from Axis angle pair. + Parameters + ---------- + axis_angle : numpy.ndarray of shape (...,4) + Axis angle pair: [n_1, n_2, n_3, ω], ǀnǀ = 1 and ω ∈ [0,π] + unless degrees = True: ω ∈ [0,180]. + degrees : boolean, optional + Angle ω is given in degrees. Defaults to False. + normalize: boolean, optional + Allow ǀnǀ ≠ 1. Defaults to False. + P : int ∈ {-1,1}, optional + Convention used. Defaults to -1. + + """ ax = np.array(axis_angle,dtype=float) if ax.shape[:-2:-1] != (4,): raise ValueError('Invalid shape.') + if abs(P) != 1: + raise ValueError('P ∉ {-1,1}') - if P > 0: ax[...,0:3] *= -1 # convert from P=1 to P=-1 + if P == 1: ax[...,0:3] *= -1 if degrees: ax[..., 3] = np.radians(ax[...,3]) - if normalise: ax[...,0:3] /= np.linalg.norm(ax[...,0:3],axis=-1) + if normalize: ax[...,0:3] /= np.linalg.norm(ax[...,0:3],axis=-1,keepdims=True) if np.any(ax[...,3] < 0.0) or np.any(ax[...,3] > np.pi): raise ValueError('Axis angle rotation angle outside of [0..π].') if not np.all(np.isclose(np.linalg.norm(ax[...,0:3],axis=-1), 1.0)): + print(np.linalg.norm(ax[...,0:3],axis=-1)) raise ValueError('Axis angle rotation axis is not of unit length.') - return Rotation(Rotation.ax2qu(ax)) + return Rotation(Rotation._ax2qu(ax)) @staticmethod def from_basis(basis, orthonormal = True, reciprocal = False): + """ + Initialize from lattice basis vectors. + Parameters + ---------- + basis : numpy.ndarray of shape (...,3,3) + Three lattice basis vectors in three dimensions. + orthonormal : boolean, optional + Basis is strictly orthonormal, i.e. is free of stretch components. Defaults to True. + reciprocal : boolean, optional + Basis vectors are given in reciprocal (instead of real) space. Defaults to False. + + """ om = np.array(basis,dtype=float) if om.shape[:-3:-1] != (3,3): raise ValueError('Invalid shape.') @@ -346,65 +479,112 @@ class Rotation: or not np.all(np.isclose(np.einsum('...i,...i',om[...,2],om[...,0]), 0.0)): raise ValueError('Orientation matrix is not orthogonal.') - return Rotation(Rotation.om2qu(om)) + return Rotation(Rotation._om2qu(om)) @staticmethod - def from_matrix(om): + def from_matrix(R): + """ + Initialize from rotation matrix. - return Rotation.from_basis(om) + Parameters + ---------- + R : numpy.ndarray of shape (...,3,3) + Rotation matrix: det(R) = 1, R.T∙R=I. + + """ + return Rotation.from_basis(R) @staticmethod - def from_Rodrigues(rodrigues, - normalise = False, + def from_Rodrigues(rho, + normalize = False, P = -1): + """ + Initialize from Rodrigues-Frank vector. - ro = np.array(rodrigues,dtype=float) + Parameters + ---------- + rho : numpy.ndarray of shape (...,4) + Rodrigues-Frank vector (angle separated from axis). + (n_1, n_2, n_3, tan(ω/2)), ǀnǀ = 1 and ω ∈ [0,π]. + normalize : boolean, optional + Allow ǀnǀ ≠ 1. Defaults to False. + P : int ∈ {-1,1}, optional + Convention used. Defaults to -1. + + """ + ro = np.array(rho,dtype=float) if ro.shape[:-2:-1] != (4,): raise ValueError('Invalid shape.') + if abs(P) != 1: + raise ValueError('P ∉ {-1,1}') - if P > 0: ro[...,0:3] *= -1 # convert from P=1 to P=-1 - if normalise: ro[...,0:3] /= np.linalg.norm(ro[...,0:3],axis=-1) + if P == 1: ro[...,0:3] *= -1 + if normalize: ro[...,0:3] /= np.linalg.norm(ro[...,0:3],axis=-1,keepdims=True) if np.any(ro[...,3] < 0.0): raise ValueError('Rodrigues vector rotation angle not positive.') if not np.all(np.isclose(np.linalg.norm(ro[...,0:3],axis=-1), 1.0)): raise ValueError('Rodrigues vector rotation axis is not of unit length.') - return Rotation(Rotation.ro2qu(ro)) + return Rotation(Rotation._ro2qu(ro)) @staticmethod - def from_homochoric(homochoric, + def from_homochoric(h, P = -1): + """ + Initialize from homochoric vector. - ho = np.array(homochoric,dtype=float) + Parameters + ---------- + h : numpy.ndarray of shape (...,3) + Homochoric vector: (h_1, h_2, h_3), ǀhǀ < (3/4*π)^(1/3). + P : int ∈ {-1,1}, optional + Convention used. Defaults to -1. + + """ + ho = np.array(h,dtype=float) if ho.shape[:-2:-1] != (3,): raise ValueError('Invalid shape.') + if abs(P) != 1: + raise ValueError('P ∉ {-1,1}') - if P > 0: ho *= -1 # convert from P=1 to P=-1 + if P == 1: ho *= -1 - if np.any(np.linalg.norm(ho,axis=-1) > (3.*np.pi/4.)**(1./3.)+1e-9): + if np.any(np.linalg.norm(ho,axis=-1) >_R1+1e-9): raise ValueError('Homochoric coordinate outside of the sphere.') - return Rotation(Rotation.ho2qu(ho)) + return Rotation(Rotation._ho2qu(ho)) @staticmethod - def from_cubochoric(cubochoric, - P = -1): + def from_cubochoric(c, + P = -1): + """ + Initialize from cubochoric vector. - cu = np.array(cubochoric,dtype=float) + Parameters + ---------- + c : numpy.ndarray of shape (...,3) + Cubochoric vector: (c_1, c_2, c_3), max(c_i) < 1/2*π^(2/3). + P : int ∈ {-1,1}, optional + Convention used. Defaults to -1. + + """ + cu = np.array(c,dtype=float) if cu.shape[:-2:-1] != (3,): raise ValueError('Invalid shape.') + if abs(P) != 1: + raise ValueError('P ∉ {-1,1}') - if np.abs(np.max(cu))>np.pi**(2./3.) * 0.5+1e-9: - raise ValueError('Cubochoric coordinate outside of the cube: {} {} {}.'.format(*cu)) + if np.abs(np.max(cu)) > np.pi**(2./3.) * 0.5+1e-9: + raise ValueError('Cubochoric coordinate outside of the cube.') - ho = Rotation.cu2ho(cu) - if P > 0: ho *= -1 # convert from P=1 to P=-1 + ho = Rotation._cu2ho(cu) + if P == 1: ho *= -1 - return Rotation(Rotation.ho2qu(ho)) + return Rotation(Rotation._ho2qu(ho)) @staticmethod - def fromAverage(rotations,weights = None): + def from_average(rotations,weights = None): """ Average rotation. @@ -429,20 +609,36 @@ class Rotation: weights = np.ones(N,dtype='i') for i,(r,n) in enumerate(zip(rotations,weights)): - M = r.asM() * n if i == 0 \ - else M + r.asM() * n # noqa add (multiples) of this rotation to average noqa + M = r.M * n if i == 0 \ + else M + r.M * n # noqa add (multiples) of this rotation to average noqa eig, vec = np.linalg.eig(M/N) - return Rotation.fromQuaternion(np.real(vec.T[eig.argmax()]),acceptHomomorph = True) + return Rotation.from_quaternion(np.real(vec.T[eig.argmax()]),accept_homomorph = True) @staticmethod - def from_random(shape=None): + def from_random(shape=None,seed=None): + """ + Draw random rotation. + + Rotations are uniformly distributed. + + Parameters + ---------- + shape : tuple of ints, optional + Shape of the sample. Defaults to None which gives a + single rotation + seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None. + If None, then fresh, unpredictable entropy will be pulled from the OS. + + """ + rng = np.random.default_rng(seed) if shape is None: - r = np.random.random(3) + r = rng.random(3) elif hasattr(shape, '__iter__'): - r = np.random.random(tuple(shape)+(3,)) + r = rng.random(tuple(shape)+(3,)) else: - r = np.random.random((shape,3)) + r = rng.random((shape,3)) A = np.sqrt(r[...,2]) B = np.sqrt(1.0-r[...,2]) @@ -451,24 +647,146 @@ class Rotation: np.cos(2.0*np.pi*r[...,1])*B, np.sin(2.0*np.pi*r[...,0])*A],axis=-1) - return Rotation(q.reshape(r.shape[:-1]+(4,)) if shape is not None else q).standardize() + return Rotation(q.reshape(r.shape[:-1]+(4,)) if shape is not None else q)._standardize() + + # for compatibility + __mul__ = __matmul__ - # for compatibility (old names do not follow convention) - fromQuaternion = from_quaternion - fromEulers = from_Eulers - fromAxisAngle = from_axis_angle - fromBasis = from_basis - fromMatrix = from_matrix - fromRodrigues = from_Rodrigues - fromHomochoric = from_homochoric - fromCubochoric = from_cubochoric - fromRandom = from_random + @staticmethod + def from_ODF(weights,Eulers,N=500,degrees=True,fractions=True,seed=None): + """ + Sample discrete values from a binned ODF. + + Parameters + ---------- + weights : numpy.ndarray of shape (n) + Texture intensity values (probability density or volume fraction) at Euler grid points. + Eulers : numpy.ndarray of shape (n,3) + Grid coordinates in Euler space at which weights are defined. + N : integer, optional + Number of discrete orientations to be sampled from the given ODF. + Defaults to 500. + degrees : boolean, optional + Euler grid values are in degrees. Defaults to True. + fractions : boolean, optional + ODF values correspond to volume fractions, not probability density. + Defaults to True. + seed: {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None, i.e. unpredictable entropy + will be pulled from the OS. + + Returns + ------- + samples : damask.Rotation of shape (N) + Array of sampled rotations closely representing the input ODF. + + Notes + ----- + Due to the distortion of Euler space in the vicinity of ϕ = 0, probability densities, p, defined on + grid points with ϕ = 0 will never result in reconstructed orientations as their dV/V = p dγ = p × 0. + Hence, it is recommended to transform any such dataset to cell centers that avoid grid points at ϕ = 0. + + References + ---------- + P. Eisenlohr, F. Roters, Computational Materials Science 42(4), 670-678, 2008 + https://doi.org/10.1016/j.commatsci.2007.09.015 + + """ + def _dg(eu,deg): + """Return infinitesimal Euler space volume of bin(s).""" + Eulers_sorted = eu[np.lexsort((eu[:,0],eu[:,1],eu[:,2]))] + steps,size,_ = grid_filters.cell_coord0_gridSizeOrigin(Eulers_sorted) + delta = np.radians(size/steps) if deg else size/steps + return delta[0]*2.0*np.sin(delta[1]/2.0)*delta[2] / 8.0 / np.pi**2 * np.sin(np.radians(eu[:,1]) if deg else eu[:,1]) + + dg = 1.0 if fractions else _dg(Eulers,degrees) + dV_V = dg * np.maximum(0.0,weights.squeeze()) + + return Rotation.from_Eulers(Eulers[util.hybrid_IA(dV_V,N,seed)],degrees) + + + @staticmethod + def from_spherical_component(center,sigma,N=500,degrees=True,seed=None): + """ + Calculate set of rotations with Gaussian distribution around center. + + Parameters + ---------- + center : Rotation + Central Rotation. + sigma : float + Standard deviation of (Gaussian) misorientation distribution. + N : int, optional + Number of samples, defaults to 500. + degrees : boolean, optional + sigma is given in degrees. + seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None, i.e. unpredictable entropy + will be pulled from the OS. + + """ + rng = np.random.default_rng(seed) + sigma = np.radians(sigma) if degrees else sigma + u,Theta = (rng.random((N,2)) * 2.0 * np.array([1,np.pi]) - np.array([1.0, 0])).T + omega = abs(rng.normal(scale=sigma,size=N)) + p = np.column_stack([np.sqrt(1-u**2)*np.cos(Theta), + np.sqrt(1-u**2)*np.sin(Theta), + u, omega]) + + return Rotation.from_axis_angle(p) @ center + + + @staticmethod + def from_fiber_component(alpha,beta,sigma=0.0,N=500,degrees=True,seed=None): + """ + Calculate set of rotations with Gaussian distribution around direction. + + Parameters + ---------- + alpha : numpy.ndarray of size 2 + Polar coordinates (phi from x,theta from z) of fiber direction in crystal frame. + beta : numpy.ndarray of size 2 + Polar coordinates (phi from x,theta from z) of fiber direction in sample frame. + sigma : float, optional + Standard deviation of (Gaussian) misorientation distribution. + Defaults to 0. + N : int, optional + Number of samples, defaults to 500. + degrees : boolean, optional + sigma, alpha, and beta are given in degrees. + seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None, i.e. unpredictable entropy + will be pulled from the OS. + + """ + rng = np.random.default_rng(seed) + sigma_,alpha_,beta_ = map(np.radians,(sigma,alpha,beta)) if degrees else (sigma,alpha,beta) + + d_cr = np.array([np.sin(alpha_[0])*np.cos(alpha_[1]), np.sin(alpha_[0])*np.sin(alpha_[1]), np.cos(alpha_[0])]) + d_lab = np.array([np.sin( beta_[0])*np.cos( beta_[1]), np.sin( beta_[0])*np.sin( beta_[1]), np.cos( beta_[0])]) + ax_align = np.append(np.cross(d_lab,d_cr), np.arccos(np.dot(d_lab,d_cr))) + if np.isclose(ax_align[3],0.0): ax_align[:3] = np.array([1,0,0]) + R_align = Rotation.from_axis_angle(ax_align if ax_align[3] > 0.0 else -ax_align,normalize=True) # rotate fiber axis from sample to crystal frame + + u,Theta = (rng.random((N,2)) * 2.0 * np.array([1,np.pi]) - np.array([1.0, 0])).T + omega = abs(rng.normal(scale=sigma_,size=N)) + p = np.column_stack([np.sqrt(1-u**2)*np.cos(Theta), + np.sqrt(1-u**2)*np.sin(Theta), + u, omega]) + p[:,:3] = np.einsum('ij,...j',np.eye(3)-np.outer(d_lab,d_lab),p[:,:3]) # remove component along fiber axis + f = np.column_stack((np.broadcast_to(d_lab,(N,3)),rng.random(N)*np.pi)) + f[::2,:3] *= -1 # flip half the rotation axes to negative sense + + return R_align.broadcast_to(N) \ + @ Rotation.from_axis_angle(p,normalize=True) \ + @ Rotation.from_axis_angle(f) + #################################################################################################### # Code below available according to the following conditions on https://github.com/MarDiehl/3Drotations #################################################################################################### -# Copyright (c) 2017-2019, Martin Diehl/Max-Planck-Institut für Eisenforschung GmbH +# Copyright (c) 2017-2020, Martin Diehl/Max-Planck-Institut für Eisenforschung GmbH # Copyright (c) 2013-2014, Marc De Graef/Carnegie Mellon University # All rights reserved. # @@ -497,519 +815,379 @@ class Rotation: #################################################################################################### #---------- Quaternion ---------- @staticmethod - def qu2om(qu): - if len(qu.shape) == 1: - """Quaternion to rotation matrix.""" - qq = qu[0]**2-(qu[1]**2 + qu[2]**2 + qu[3]**2) - om = np.diag(qq + 2.0*np.array([qu[1],qu[2],qu[3]])**2) - - om[0,1] = 2.0*(qu[2]*qu[1]+qu[0]*qu[3]) - om[1,0] = 2.0*(qu[1]*qu[2]-qu[0]*qu[3]) - om[1,2] = 2.0*(qu[3]*qu[2]+qu[0]*qu[1]) - om[2,1] = 2.0*(qu[2]*qu[3]-qu[0]*qu[1]) - om[2,0] = 2.0*(qu[1]*qu[3]+qu[0]*qu[2]) - om[0,2] = 2.0*(qu[3]*qu[1]-qu[0]*qu[2]) - else: - qq = qu[...,0:1]**2-(qu[...,1:2]**2 + qu[...,2:3]**2 + qu[...,3:4]**2) - om = np.block([qq + 2.0*qu[...,1:2]**2, - 2.0*(qu[...,2:3]*qu[...,1:2]+qu[...,0:1]*qu[...,3:4]), - 2.0*(qu[...,3:4]*qu[...,1:2]-qu[...,0:1]*qu[...,2:3]), - 2.0*(qu[...,1:2]*qu[...,2:3]-qu[...,0:1]*qu[...,3:4]), - qq + 2.0*qu[...,2:3]**2, - 2.0*(qu[...,3:4]*qu[...,2:3]+qu[...,0:1]*qu[...,1:2]), - 2.0*(qu[...,1:2]*qu[...,3:4]+qu[...,0:1]*qu[...,2:3]), - 2.0*(qu[...,2:3]*qu[...,3:4]-qu[...,0:1]*qu[...,1:2]), - qq + 2.0*qu[...,3:4]**2, - ]).reshape(qu.shape[:-1]+(3,3)) - return om if _P < 0.0 else np.swapaxes(om,(-1,-2)) + def _qu2om(qu): + qq = qu[...,0:1]**2-(qu[...,1:2]**2 + qu[...,2:3]**2 + qu[...,3:4]**2) + om = np.block([qq + 2.0*qu[...,1:2]**2, + 2.0*(qu[...,2:3]*qu[...,1:2]-_P*qu[...,0:1]*qu[...,3:4]), + 2.0*(qu[...,3:4]*qu[...,1:2]+_P*qu[...,0:1]*qu[...,2:3]), + 2.0*(qu[...,1:2]*qu[...,2:3]+_P*qu[...,0:1]*qu[...,3:4]), + qq + 2.0*qu[...,2:3]**2, + 2.0*(qu[...,3:4]*qu[...,2:3]-_P*qu[...,0:1]*qu[...,1:2]), + 2.0*(qu[...,1:2]*qu[...,3:4]-_P*qu[...,0:1]*qu[...,2:3]), + 2.0*(qu[...,2:3]*qu[...,3:4]+_P*qu[...,0:1]*qu[...,1:2]), + qq + 2.0*qu[...,3:4]**2, + ]).reshape(qu.shape[:-1]+(3,3)) + return om @staticmethod - def qu2eu(qu): + def _qu2eu(qu): """Quaternion to Bunge-Euler angles.""" - if len(qu.shape) == 1: - q03 = qu[0]**2+qu[3]**2 - q12 = qu[1]**2+qu[2]**2 - chi = np.sqrt(q03*q12) - if np.abs(q12) < 1.e-8: - eu = np.array([np.arctan2(-_P*2.0*qu[0]*qu[3],qu[0]**2-qu[3]**2), 0.0, 0.0]) - elif np.abs(q03) < 1.e-8: - eu = np.array([np.arctan2( 2.0*qu[1]*qu[2],qu[1]**2-qu[2]**2), np.pi, 0.0]) - else: - eu = np.array([np.arctan2((-_P*qu[0]*qu[2]+qu[1]*qu[3])*chi, (-_P*qu[0]*qu[1]-qu[2]*qu[3])*chi ), - np.arctan2( 2.0*chi, q03-q12 ), - np.arctan2(( _P*qu[0]*qu[2]+qu[1]*qu[3])*chi, (-_P*qu[0]*qu[1]+qu[2]*qu[3])*chi )]) - else: - q02 = qu[...,0:1]*qu[...,2:3] - q13 = qu[...,1:2]*qu[...,3:4] - q01 = qu[...,0:1]*qu[...,1:2] - q23 = qu[...,2:3]*qu[...,3:4] - q03_s = qu[...,0:1]**2+qu[...,3:4]**2 - q12_s = qu[...,1:2]**2+qu[...,2:3]**2 - chi = np.sqrt(q03_s*q12_s) + q02 = qu[...,0:1]*qu[...,2:3] + q13 = qu[...,1:2]*qu[...,3:4] + q01 = qu[...,0:1]*qu[...,1:2] + q23 = qu[...,2:3]*qu[...,3:4] + q03_s = qu[...,0:1]**2+qu[...,3:4]**2 + q12_s = qu[...,1:2]**2+qu[...,2:3]**2 + chi = np.sqrt(q03_s*q12_s) - eu = np.where(np.abs(q12_s) < 1.0e-8, - np.block([np.arctan2(-_P*2.0*qu[...,0:1]*qu[...,3:4],qu[...,0:1]**2-qu[...,3:4]**2), - np.zeros(qu.shape[:-1]+(2,))]), - np.where(np.abs(q03_s) < 1.0e-8, - np.block([np.arctan2( 2.0*qu[...,1:2]*qu[...,2:3],qu[...,1:2]**2-qu[...,2:3]**2), - np.broadcast_to(np.pi,qu.shape[:-1]+(1,)), - np.zeros(qu.shape[:-1]+(1,))]), - np.block([np.arctan2((-_P*q02+q13)*chi, (-_P*q01-q23)*chi), - np.arctan2( 2.0*chi, q03_s-q12_s ), - np.arctan2(( _P*q02+q13)*chi, (-_P*q01+q23)*chi)]) - ) - ) + eu = np.where(np.abs(q12_s) < 1.0e-8, + np.block([np.arctan2(-_P*2.0*qu[...,0:1]*qu[...,3:4],qu[...,0:1]**2-qu[...,3:4]**2), + np.zeros(qu.shape[:-1]+(2,))]), + np.where(np.abs(q03_s) < 1.0e-8, + np.block([np.arctan2( 2.0*qu[...,1:2]*qu[...,2:3],qu[...,1:2]**2-qu[...,2:3]**2), + np.broadcast_to(np.pi,qu[...,0:1].shape), + np.zeros(qu.shape[:-1]+(1,))]), + np.block([np.arctan2((-_P*q02+q13)*chi, (-_P*q01-q23)*chi), + np.arctan2( 2.0*chi, q03_s-q12_s ), + np.arctan2(( _P*q02+q13)*chi, (-_P*q01+q23)*chi)]) + ) + ) # reduce Euler angles to definition range eu[np.abs(eu)<1.e-6] = 0.0 - eu = np.where(eu<0, (eu+2.0*np.pi)%np.array([2.0*np.pi,np.pi,2.0*np.pi]),eu) + eu = np.where(eu<0, (eu+2.0*np.pi)%np.array([2.0*np.pi,np.pi,2.0*np.pi]),eu) # needed? return eu @staticmethod - def qu2ax(qu): + def _qu2ax(qu): """ Quaternion to axis angle pair. Modified version of the original formulation, should be numerically more stable """ - if len(qu.shape) == 1: - if np.abs(np.sum(qu[1:4]**2)) < 1.e-6: # set axis to [001] if the angle is 0/360 - ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) - elif qu[0] > 1.e-6: - s = np.sign(qu[0])/np.sqrt(qu[1]**2+qu[2]**2+qu[3]**2) - omega = 2.0 * np.arccos(np.clip(qu[0],-1.0,1.0)) - ax = ax = np.array([ qu[1]*s, qu[2]*s, qu[3]*s, omega ]) - else: - ax = ax = np.array([ qu[1], qu[2], qu[3], np.pi]) - else: - with np.errstate(invalid='ignore',divide='ignore'): - s = np.sign(qu[...,0:1])/np.sqrt(qu[...,1:2]**2+qu[...,2:3]**2+qu[...,3:4]**2) - omega = 2.0 * np.arccos(np.clip(qu[...,0:1],-1.0,1.0)) - ax = np.where(np.broadcast_to(qu[...,0:1] < 1.0e-6,qu.shape), - np.block([qu[...,1:4],np.broadcast_to(np.pi,qu.shape[:-1]+(1,))]), - np.block([qu[...,1:4]*s,omega])) - ax[np.sum(np.abs(qu[...,1:4])**2,axis=-1) < 1.0e-6,] = [0.0, 0.0, 1.0, 0.0] + with np.errstate(invalid='ignore',divide='ignore'): + s = np.sign(qu[...,0:1])/np.sqrt(qu[...,1:2]**2+qu[...,2:3]**2+qu[...,3:4]**2) + omega = 2.0 * np.arccos(np.clip(qu[...,0:1],-1.0,1.0)) + ax = np.where(np.broadcast_to(qu[...,0:1] < 1.0e-8,qu.shape), + np.block([qu[...,1:4],np.broadcast_to(np.pi,qu[...,0:1].shape)]), + np.block([qu[...,1:4]*s,omega])) + ax[np.isclose(qu[...,0],1.,rtol=0.0)] = [0.0, 0.0, 1.0, 0.0] return ax @staticmethod - def qu2ro(qu): + def _qu2ro(qu): """Quaternion to Rodrigues-Frank vector.""" - if len(qu.shape) == 1: - if iszero(qu[0]): - ro = np.array([qu[1], qu[2], qu[3], np.inf]) - else: - s = np.linalg.norm(qu[1:4]) - ro = np.array([0.0,0.0,_P,0.0] if iszero(s) else \ - [ qu[1]/s, qu[2]/s, qu[3]/s, np.tan(np.arccos(np.clip(qu[0],-1.0,1.0)))]) - else: - with np.errstate(invalid='ignore',divide='ignore'): - s = np.linalg.norm(qu[...,1:4],axis=-1,keepdims=True) - ro = np.where(np.broadcast_to(np.abs(qu[...,0:1]) < 1.0e-12,qu.shape), - np.block([qu[...,1:2], qu[...,2:3], qu[...,3:4], np.broadcast_to(np.inf,qu.shape[:-1]+(1,))]), - np.block([qu[...,1:2]/s,qu[...,2:3]/s,qu[...,3:4]/s, - np.tan(np.arccos(np.clip(qu[...,0:1],-1.0,1.0))) - ]) - ) - ro[np.abs(s).squeeze(-1) < 1.0e-12] = [0.0,0.0,_P,0.0] + with np.errstate(invalid='ignore',divide='ignore'): + s = np.linalg.norm(qu[...,1:4],axis=-1,keepdims=True) + ro = np.where(np.broadcast_to(np.abs(qu[...,0:1]) < 1.0e-12,qu.shape), + np.block([qu[...,1:2], qu[...,2:3], qu[...,3:4], np.broadcast_to(np.inf,qu[...,0:1].shape)]), + np.block([qu[...,1:2]/s,qu[...,2:3]/s,qu[...,3:4]/s, + np.tan(np.arccos(np.clip(qu[...,0:1],-1.0,1.0))) + ]) + ) + ro[np.abs(s).squeeze(-1) < 1.0e-12] = [0.0,0.0,_P,0.0] return ro @staticmethod - def qu2ho(qu): + def _qu2ho(qu): """Quaternion to homochoric vector.""" - if len(qu.shape) == 1: - omega = 2.0 * np.arccos(np.clip(qu[0],-1.0,1.0)) - if np.abs(omega) < 1.0e-12: - ho = np.zeros(3) - else: - ho = np.array([qu[1], qu[2], qu[3]]) - f = 0.75 * ( omega - np.sin(omega) ) - ho = ho/np.linalg.norm(ho) * f**(1./3.) - else: - with np.errstate(invalid='ignore'): - omega = 2.0 * np.arccos(np.clip(qu[...,0:1],-1.0,1.0)) - ho = np.where(np.abs(omega) < 1.0e-12, - np.zeros(3), - qu[...,1:4]/np.linalg.norm(qu[...,1:4],axis=-1,keepdims=True) \ - * (0.75*(omega - np.sin(omega)))**(1./3.)) + with np.errstate(invalid='ignore'): + omega = 2.0 * np.arccos(np.clip(qu[...,0:1],-1.0,1.0)) + ho = np.where(np.abs(omega) < 1.0e-12, + np.zeros(3), + qu[...,1:4]/np.linalg.norm(qu[...,1:4],axis=-1,keepdims=True) \ + * (0.75*(omega - np.sin(omega)))**(1./3.)) return ho @staticmethod - def qu2cu(qu): + def _qu2cu(qu): """Quaternion to cubochoric vector.""" - return Rotation.ho2cu(Rotation.qu2ho(qu)) + return Rotation._ho2cu(Rotation._qu2ho(qu)) #---------- Rotation matrix ---------- @staticmethod - def om2qu(om): + def _om2qu(om): """ Rotation matrix to quaternion. - The original formulation (direct conversion) had (numerical?) issues + This formulation is from www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion. + The original formulation had issues. """ - return Rotation.eu2qu(Rotation.om2eu(om)) + trace = om[...,0,0:1]+om[...,1,1:2]+om[...,2,2:3] + + with np.errstate(invalid='ignore',divide='ignore'): + s = [ + 0.5 / np.sqrt( 1.0 + trace), + 2.0 * np.sqrt( 1.0 + om[...,0,0:1] - om[...,1,1:2] - om[...,2,2:3]), + 2.0 * np.sqrt( 1.0 + om[...,1,1:2] - om[...,2,2:3] - om[...,0,0:1]), + 2.0 * np.sqrt( 1.0 + om[...,2,2:3] - om[...,0,0:1] - om[...,1,1:2] ) + ] + qu= np.where(trace>0, + np.block([0.25 / s[0], + (om[...,2,1:2] - om[...,1,2:3] ) * s[0], + (om[...,0,2:3] - om[...,2,0:1] ) * s[0], + (om[...,1,0:1] - om[...,0,1:2] ) * s[0]]), + np.where(om[...,0,0:1] > np.maximum(om[...,1,1:2],om[...,2,2:3]), + np.block([(om[...,2,1:2] - om[...,1,2:3]) / s[1], + 0.25 * s[1], + (om[...,0,1:2] + om[...,1,0:1]) / s[1], + (om[...,0,2:3] + om[...,2,0:1]) / s[1]]), + np.where(om[...,1,1:2] > om[...,2,2:3], + np.block([(om[...,0,2:3] - om[...,2,0:1]) / s[2], + (om[...,0,1:2] + om[...,1,0:1]) / s[2], + 0.25 * s[2], + (om[...,1,2:3] + om[...,2,1:2]) / s[2]]), + np.block([(om[...,1,0:1] - om[...,0,1:2]) / s[3], + (om[...,0,2:3] + om[...,2,0:1]) / s[3], + (om[...,1,2:3] + om[...,2,1:2]) / s[3], + 0.25 * s[3]]), + ) + ) + )*np.array([1,_P,_P,_P]) + qu[qu[...,0]<0] *=-1 + return qu @staticmethod - def om2eu(om): + def _om2eu(om): """Rotation matrix to Bunge-Euler angles.""" - if len(om.shape) == 2: - if not np.isclose(np.abs(om[2,2]),1.0,1.e-4): - zeta = 1.0/np.sqrt(1.0-om[2,2]**2) - eu = np.array([np.arctan2(om[2,0]*zeta,-om[2,1]*zeta), - np.arccos(om[2,2]), - np.arctan2(om[0,2]*zeta, om[1,2]*zeta)]) - else: - eu = np.array([np.arctan2( om[0,1],om[0,0]), np.pi*0.5*(1-om[2,2]),0.0]) # following the paper, not the reference implementation - else: - with np.errstate(invalid='ignore',divide='ignore'): - zeta = 1.0/np.sqrt(1.0-om[...,2,2:3]**2) - eu = np.where(np.isclose(np.abs(om[...,2,2:3]),1.0,1e-4), - np.block([np.arctan2(om[...,0,1:2],om[...,0,0:1]), - np.pi*0.5*(1-om[...,2,2:3]), - np.zeros(om.shape[:-2]+(1,)), - ]), - np.block([np.arctan2(om[...,2,0:1]*zeta,-om[...,2,1:2]*zeta), - np.arccos(om[...,2,2:3]), - np.arctan2(om[...,0,2:3]*zeta,+om[...,1,2:3]*zeta) - ]) - ) - eu[np.abs(eu)<1.e-6] = 0.0 + with np.errstate(invalid='ignore',divide='ignore'): + zeta = 1.0/np.sqrt(1.0-om[...,2,2:3]**2) + eu = np.where(np.isclose(np.abs(om[...,2,2:3]),1.0,0.0), + np.block([np.arctan2(om[...,0,1:2],om[...,0,0:1]), + np.pi*0.5*(1-om[...,2,2:3]), + np.zeros(om.shape[:-2]+(1,)), + ]), + np.block([np.arctan2(om[...,2,0:1]*zeta,-om[...,2,1:2]*zeta), + np.arccos( om[...,2,2:3]), + np.arctan2(om[...,0,2:3]*zeta,+om[...,1,2:3]*zeta) + ]) + ) + eu[np.abs(eu)<1.e-8] = 0.0 eu = np.where(eu<0, (eu+2.0*np.pi)%np.array([2.0*np.pi,np.pi,2.0*np.pi]),eu) return eu - @staticmethod - def om2ax(om): + def _om2ax(om): """Rotation matrix to axis angle pair.""" - if len(om.shape) == 2: - ax=np.empty(4) - - # first get the rotation angle - t = 0.5*(om.trace() -1.0) - ax[3] = np.arccos(np.clip(t,-1.0,1.0)) - if np.abs(ax[3])<1.e-6: - ax = np.array([ 0.0, 0.0, 1.0, 0.0]) - else: - w,vr = np.linalg.eig(om) - # next, find the eigenvalue (1,0j) - i = np.where(np.isclose(w,1.0+0.0j))[0][0] - ax[0:3] = np.real(vr[0:3,i]) - diagDelta = -_P*np.array([om[1,2]-om[2,1],om[2,0]-om[0,2],om[0,1]-om[1,0]]) - diagDelta[np.abs(diagDelta)<1.e-6] = 1.0 - ax[0:3] = np.where(np.abs(diagDelta)<0, ax[0:3],np.abs(ax[0:3])*np.sign(diagDelta)) - else: - diag_delta = -_P*np.block([om[...,1,2:3]-om[...,2,1:2], - om[...,2,0:1]-om[...,0,2:3], - om[...,0,1:2]-om[...,1,0:1] - ]) - diag_delta[np.abs(diag_delta)<1.e-6] = 1.0 - t = 0.5*(om.trace(axis2=-2,axis1=-1) -1.0).reshape(om.shape[:-2]+(1,)) - w,vr = np.linalg.eig(om) - # mask duplicated real eigenvalues - w[np.isclose(w[...,0],1.0+0.0j),1:] = 0. - w[np.isclose(w[...,1],1.0+0.0j),2:] = 0. - vr = np.swapaxes(vr,-1,-2) - ax = np.where(np.abs(diag_delta)<0, - np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,)), - np.abs(np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,))) \ - *np.sign(diag_delta)) - ax = np.block([ax,np.arccos(np.clip(t,-1.0,1.0))]) - ax[np.abs(ax[...,3])<1.e-6] = [ 0.0, 0.0, 1.0, 0.0] + #return Rotation._qu2ax(Rotation._om2qu(om)) # HOTFIX + diag_delta = -_P*np.block([om[...,1,2:3]-om[...,2,1:2], + om[...,2,0:1]-om[...,0,2:3], + om[...,0,1:2]-om[...,1,0:1] + ]) + t = 0.5*(om.trace(axis2=-2,axis1=-1) -1.0).reshape(om.shape[:-2]+(1,)) + w,vr = np.linalg.eig(om) + # mask duplicated real eigenvalues + w[np.isclose(w[...,0],1.0+0.0j),1:] = 0. + w[np.isclose(w[...,1],1.0+0.0j),2:] = 0. + vr = np.swapaxes(vr,-1,-2) + ax = np.where(np.abs(diag_delta)<1e-12, + np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,)), + np.abs(np.real(vr[np.isclose(w,1.0+0.0j)]).reshape(om.shape[:-2]+(3,))) \ + *np.sign(diag_delta)) + ax = np.block([ax,np.arccos(np.clip(t,-1.0,1.0))]) + ax[np.abs(ax[...,3])<1.e-8] = [ 0.0, 0.0, 1.0, 0.0] return ax - @staticmethod - def om2ro(om): + def _om2ro(om): """Rotation matrix to Rodrigues-Frank vector.""" - return Rotation.eu2ro(Rotation.om2eu(om)) + return Rotation._eu2ro(Rotation._om2eu(om)) @staticmethod - def om2ho(om): + def _om2ho(om): """Rotation matrix to homochoric vector.""" - return Rotation.ax2ho(Rotation.om2ax(om)) + return Rotation._ax2ho(Rotation._om2ax(om)) @staticmethod - def om2cu(om): + def _om2cu(om): """Rotation matrix to cubochoric vector.""" - return Rotation.ho2cu(Rotation.om2ho(om)) + return Rotation._ho2cu(Rotation._om2ho(om)) #---------- Bunge-Euler angles ---------- @staticmethod - def eu2qu(eu): + def _eu2qu(eu): """Bunge-Euler angles to quaternion.""" - if len(eu.shape) == 1: - ee = 0.5*eu - cPhi = np.cos(ee[1]) - sPhi = np.sin(ee[1]) - qu = np.array([ cPhi*np.cos(ee[0]+ee[2]), - -_P*sPhi*np.cos(ee[0]-ee[2]), - -_P*sPhi*np.sin(ee[0]-ee[2]), - -_P*cPhi*np.sin(ee[0]+ee[2]) ]) - if qu[0] < 0.0: qu*=-1 - else: - ee = 0.5*eu - cPhi = np.cos(ee[...,1:2]) - sPhi = np.sin(ee[...,1:2]) - qu = np.block([ cPhi*np.cos(ee[...,0:1]+ee[...,2:3]), - -_P*sPhi*np.cos(ee[...,0:1]-ee[...,2:3]), - -_P*sPhi*np.sin(ee[...,0:1]-ee[...,2:3]), - -_P*cPhi*np.sin(ee[...,0:1]+ee[...,2:3])]) - qu[qu[...,0]<0.0]*=-1 + ee = 0.5*eu + cPhi = np.cos(ee[...,1:2]) + sPhi = np.sin(ee[...,1:2]) + qu = np.block([ cPhi*np.cos(ee[...,0:1]+ee[...,2:3]), + -_P*sPhi*np.cos(ee[...,0:1]-ee[...,2:3]), + -_P*sPhi*np.sin(ee[...,0:1]-ee[...,2:3]), + -_P*cPhi*np.sin(ee[...,0:1]+ee[...,2:3])]) + qu[qu[...,0]<0.0]*=-1 return qu - @staticmethod - def eu2om(eu): + def _eu2om(eu): """Bunge-Euler angles to rotation matrix.""" - if len(eu.shape) == 1: - c = np.cos(eu) - s = np.sin(eu) - - om = np.array([[+c[0]*c[2]-s[0]*s[2]*c[1], +s[0]*c[2]+c[0]*s[2]*c[1], +s[2]*s[1]], - [-c[0]*s[2]-s[0]*c[2]*c[1], -s[0]*s[2]+c[0]*c[2]*c[1], +c[2]*s[1]], - [+s[0]*s[1], -c[0]*s[1], +c[1] ]]) - else: - c = np.cos(eu) - s = np.sin(eu) - om = np.block([+c[...,0:1]*c[...,2:3]-s[...,0:1]*s[...,2:3]*c[...,1:2], - +s[...,0:1]*c[...,2:3]+c[...,0:1]*s[...,2:3]*c[...,1:2], - +s[...,2:3]*s[...,1:2], - -c[...,0:1]*s[...,2:3]-s[...,0:1]*c[...,2:3]*c[...,1:2], - -s[...,0:1]*s[...,2:3]+c[...,0:1]*c[...,2:3]*c[...,1:2], - +c[...,2:3]*s[...,1:2], - +s[...,0:1]*s[...,1:2], - -c[...,0:1]*s[...,1:2], - +c[...,1:2] - ]).reshape(eu.shape[:-1]+(3,3)) + c = np.cos(eu) + s = np.sin(eu) + om = np.block([+c[...,0:1]*c[...,2:3]-s[...,0:1]*s[...,2:3]*c[...,1:2], + +s[...,0:1]*c[...,2:3]+c[...,0:1]*s[...,2:3]*c[...,1:2], + +s[...,2:3]*s[...,1:2], + -c[...,0:1]*s[...,2:3]-s[...,0:1]*c[...,2:3]*c[...,1:2], + -s[...,0:1]*s[...,2:3]+c[...,0:1]*c[...,2:3]*c[...,1:2], + +c[...,2:3]*s[...,1:2], + +s[...,0:1]*s[...,1:2], + -c[...,0:1]*s[...,1:2], + +c[...,1:2] + ]).reshape(eu.shape[:-1]+(3,3)) om[np.abs(om)<1.e-12] = 0.0 return om @staticmethod - def eu2ax(eu): + def _eu2ax(eu): """Bunge-Euler angles to axis angle pair.""" - if len(eu.shape) == 1: - t = np.tan(eu[1]*0.5) - sigma = 0.5*(eu[0]+eu[2]) - delta = 0.5*(eu[0]-eu[2]) - tau = np.linalg.norm([t,np.sin(sigma)]) - alpha = np.pi if iszero(np.cos(sigma)) else \ - 2.0*np.arctan(tau/np.cos(sigma)) - - if np.abs(alpha)<1.e-6: - ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) - else: - ax = -_P/tau * np.array([ t*np.cos(delta), t*np.sin(delta), np.sin(sigma) ]) # passive axis angle pair so a minus sign in front - ax = np.append(ax,alpha) - if alpha < 0.0: ax *= -1.0 # ensure alpha is positive - else: - t = np.tan(eu[...,1:2]*0.5) - sigma = 0.5*(eu[...,0:1]+eu[...,2:3]) - delta = 0.5*(eu[...,0:1]-eu[...,2:3]) - tau = np.linalg.norm(np.block([t,np.sin(sigma)]),axis=-1,keepdims=True) - alpha = np.where(np.abs(np.cos(sigma))<1.e-12,np.pi,2.0*np.arctan(tau/np.cos(sigma))) - with np.errstate(invalid='ignore',divide='ignore'): - ax = np.where(np.broadcast_to(np.abs(alpha)<1.0e-12,eu.shape[:-1]+(4,)), - [0.0,0.0,1.0,0.0], - np.block([-_P/tau*t*np.cos(delta), - -_P/tau*t*np.sin(delta), - -_P/tau* np.sin(sigma), - alpha - ])) - ax[(alpha<0.0).squeeze()] *=-1 + t = np.tan(eu[...,1:2]*0.5) + sigma = 0.5*(eu[...,0:1]+eu[...,2:3]) + delta = 0.5*(eu[...,0:1]-eu[...,2:3]) + tau = np.linalg.norm(np.block([t,np.sin(sigma)]),axis=-1,keepdims=True) + alpha = np.where(np.abs(np.cos(sigma))<1.e-12,np.pi,2.0*np.arctan(tau/np.cos(sigma))) + with np.errstate(invalid='ignore',divide='ignore'): + ax = np.where(np.broadcast_to(np.abs(alpha)<1.0e-12,eu.shape[:-1]+(4,)), + [0.0,0.0,1.0,0.0], + np.block([-_P/tau*t*np.cos(delta), + -_P/tau*t*np.sin(delta), + -_P/tau* np.sin(sigma), + alpha + ])) + ax[(alpha<0.0).squeeze()] *=-1 return ax @staticmethod - def eu2ro(eu): + def _eu2ro(eu): """Bunge-Euler angles to Rodrigues-Frank vector.""" - if len(eu.shape) == 1: - ro = Rotation.eu2ax(eu) # convert to axis angle pair representation - if ro[3] >= np.pi: # Differs from original implementation. check convention 5 - ro[3] = np.inf - elif iszero(ro[3]): - ro = np.array([ 0.0, 0.0, _P, 0.0 ]) - else: - ro[3] = np.tan(ro[3]*0.5) - else: - ax = Rotation.eu2ax(eu) - ro = np.block([ax[...,:3],np.tan(ax[...,3:4]*.5)]) - ro[ax[...,3]>=np.pi,3] = np.inf - ro[np.abs(ax[...,3])<1.e-16] = [ 0.0, 0.0, _P, 0.0 ] + ax = Rotation._eu2ax(eu) + ro = np.block([ax[...,:3],np.tan(ax[...,3:4]*.5)]) + ro[ax[...,3]>=np.pi,3] = np.inf + ro[np.abs(ax[...,3])<1.e-16] = [ 0.0, 0.0, _P, 0.0 ] return ro @staticmethod - def eu2ho(eu): + def _eu2ho(eu): """Bunge-Euler angles to homochoric vector.""" - return Rotation.ax2ho(Rotation.eu2ax(eu)) + return Rotation._ax2ho(Rotation._eu2ax(eu)) @staticmethod - def eu2cu(eu): + def _eu2cu(eu): """Bunge-Euler angles to cubochoric vector.""" - return Rotation.ho2cu(Rotation.eu2ho(eu)) + return Rotation._ho2cu(Rotation._eu2ho(eu)) #---------- Axis angle pair ---------- @staticmethod - def ax2qu(ax): + def _ax2qu(ax): """Axis angle pair to quaternion.""" - if len(ax.shape) == 1: - if np.abs(ax[3])<1.e-6: - qu = np.array([ 1.0, 0.0, 0.0, 0.0 ]) - else: - c = np.cos(ax[3]*0.5) - s = np.sin(ax[3]*0.5) - qu = np.array([ c, ax[0]*s, ax[1]*s, ax[2]*s ]) - else: - c = np.cos(ax[...,3:4]*.5) - s = np.sin(ax[...,3:4]*.5) - qu = np.where(np.abs(ax[...,3:4])<1.e-6,[1.0, 0.0, 0.0, 0.0],np.block([c, ax[...,:3]*s])) + c = np.cos(ax[...,3:4]*.5) + s = np.sin(ax[...,3:4]*.5) + qu = np.where(np.abs(ax[...,3:4])<1.e-6,[1.0, 0.0, 0.0, 0.0],np.block([c, ax[...,:3]*s])) return qu @staticmethod - def ax2om(ax): + def _ax2om(ax): """Axis angle pair to rotation matrix.""" - if len(ax.shape) == 1: - c = np.cos(ax[3]) - s = np.sin(ax[3]) - omc = 1.0-c - om=np.diag(ax[0:3]**2*omc + c) - - for idx in [[0,1,2],[1,2,0],[2,0,1]]: - q = omc*ax[idx[0]] * ax[idx[1]] - om[idx[0],idx[1]] = q + s*ax[idx[2]] - om[idx[1],idx[0]] = q - s*ax[idx[2]] - else: - c = np.cos(ax[...,3:4]) - s = np.sin(ax[...,3:4]) - omc = 1. -c - om = np.block([c+omc*ax[...,0:1]**2, - omc*ax[...,0:1]*ax[...,1:2] + s*ax[...,2:3], - omc*ax[...,0:1]*ax[...,2:3] - s*ax[...,1:2], - omc*ax[...,0:1]*ax[...,1:2] - s*ax[...,2:3], - c+omc*ax[...,1:2]**2, - omc*ax[...,1:2]*ax[...,2:3] + s*ax[...,0:1], - omc*ax[...,0:1]*ax[...,2:3] + s*ax[...,1:2], - omc*ax[...,1:2]*ax[...,2:3] - s*ax[...,0:1], - c+omc*ax[...,2:3]**2]).reshape(ax.shape[:-1]+(3,3)) - return om if _P < 0.0 else np.swapaxes(om,(-1,-2)) + c = np.cos(ax[...,3:4]) + s = np.sin(ax[...,3:4]) + omc = 1. -c + om = np.block([c+omc*ax[...,0:1]**2, + omc*ax[...,0:1]*ax[...,1:2] + s*ax[...,2:3], + omc*ax[...,0:1]*ax[...,2:3] - s*ax[...,1:2], + omc*ax[...,0:1]*ax[...,1:2] - s*ax[...,2:3], + c+omc*ax[...,1:2]**2, + omc*ax[...,1:2]*ax[...,2:3] + s*ax[...,0:1], + omc*ax[...,0:1]*ax[...,2:3] + s*ax[...,1:2], + omc*ax[...,1:2]*ax[...,2:3] - s*ax[...,0:1], + c+omc*ax[...,2:3]**2]).reshape(ax.shape[:-1]+(3,3)) + return om if _P < 0.0 else np.swapaxes(om,-1,-2) @staticmethod - def ax2eu(ax): + def _ax2eu(ax): """Rotation matrix to Bunge Euler angles.""" - return Rotation.om2eu(Rotation.ax2om(ax)) + return Rotation._om2eu(Rotation._ax2om(ax)) @staticmethod - def ax2ro(ax): + def _ax2ro(ax): """Axis angle pair to Rodrigues-Frank vector.""" - if len(ax.shape) == 1: - if np.abs(ax[3])<1.e-6: - ro = [ 0.0, 0.0, _P, 0.0 ] - else: - ro = [ax[0], ax[1], ax[2]] - # 180 degree case - ro += [np.inf] if np.isclose(ax[3],np.pi,atol=1.0e-15,rtol=0.0) else \ - [np.tan(ax[3]*0.5)] - ro = np.array(ro) - else: - ro = np.block([ax[...,:3], - np.where(np.isclose(ax[...,3:4],np.pi,atol=1.e-15,rtol=.0), - np.inf, - np.tan(ax[...,3:4]*0.5)) - ]) - ro[np.abs(ax[...,3])<1.e-6] = [.0,.0,_P,.0] + ro = np.block([ax[...,:3], + np.where(np.isclose(ax[...,3:4],np.pi,atol=1.e-15,rtol=.0), + np.inf, + np.tan(ax[...,3:4]*0.5)) + ]) + ro[np.abs(ax[...,3])<1.e-6] = [.0,.0,_P,.0] return ro @staticmethod - def ax2ho(ax): + def _ax2ho(ax): """Axis angle pair to homochoric vector.""" - if len(ax.shape) == 1: - f = (0.75 * ( ax[3] - np.sin(ax[3]) ))**(1.0/3.0) - ho = ax[0:3] * f - else: - f = (0.75 * ( ax[...,3:4] - np.sin(ax[...,3:4]) ))**(1.0/3.0) - ho = ax[...,:3] * f + f = (0.75 * ( ax[...,3:4] - np.sin(ax[...,3:4]) ))**(1.0/3.0) + ho = ax[...,:3] * f return ho @staticmethod - def ax2cu(ax): + def _ax2cu(ax): """Axis angle pair to cubochoric vector.""" - return Rotation.ho2cu(Rotation.ax2ho(ax)) + return Rotation._ho2cu(Rotation._ax2ho(ax)) #---------- Rodrigues-Frank vector ---------- @staticmethod - def ro2qu(ro): + def _ro2qu(ro): """Rodrigues-Frank vector to quaternion.""" - return Rotation.ax2qu(Rotation.ro2ax(ro)) + return Rotation._ax2qu(Rotation._ro2ax(ro)) @staticmethod - def ro2om(ro): + def _ro2om(ro): """Rodgrigues-Frank vector to rotation matrix.""" - return Rotation.ax2om(Rotation.ro2ax(ro)) + return Rotation._ax2om(Rotation._ro2ax(ro)) @staticmethod - def ro2eu(ro): + def _ro2eu(ro): """Rodrigues-Frank vector to Bunge-Euler angles.""" - return Rotation.om2eu(Rotation.ro2om(ro)) + return Rotation._om2eu(Rotation._ro2om(ro)) @staticmethod - def ro2ax(ro): + def _ro2ax(ro): """Rodrigues-Frank vector to axis angle pair.""" - if len(ro.shape) == 1: - if np.abs(ro[3]) < 1.e-6: - ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) - elif not np.isfinite(ro[3]): - ax = np.array([ ro[0], ro[1], ro[2], np.pi ]) - else: - angle = 2.0*np.arctan(ro[3]) - ta = np.linalg.norm(ro[0:3]) - ax = np.array([ ro[0]*ta, ro[1]*ta, ro[2]*ta, angle ]) - else: - with np.errstate(invalid='ignore',divide='ignore'): - ax = np.where(np.isfinite(ro[...,3:4]), - np.block([ro[...,0:3]*np.linalg.norm(ro[...,0:3],axis=-1,keepdims=True),2.*np.arctan(ro[...,3:4])]), - np.block([ro[...,0:3],np.broadcast_to(np.pi,ro[...,3:4].shape)])) - ax[np.abs(ro[...,3]) < 1.e-6] = np.array([ 0.0, 0.0, 1.0, 0.0 ]) + with np.errstate(invalid='ignore',divide='ignore'): + ax = np.where(np.isfinite(ro[...,3:4]), + np.block([ro[...,0:3]*np.linalg.norm(ro[...,0:3],axis=-1,keepdims=True),2.*np.arctan(ro[...,3:4])]), + np.block([ro[...,0:3],np.broadcast_to(np.pi,ro[...,3:4].shape)])) + ax[np.abs(ro[...,3]) < 1.e-8] = np.array([ 0.0, 0.0, 1.0, 0.0 ]) return ax @staticmethod - def ro2ho(ro): + def _ro2ho(ro): """Rodrigues-Frank vector to homochoric vector.""" - if len(ro.shape) == 1: - if np.sum(ro[0:3]**2.0) < 1.e-6: - ho = np.zeros(3) - else: - f = 2.0*np.arctan(ro[3]) -np.sin(2.0*np.arctan(ro[3])) if np.isfinite(ro[3]) else np.pi - ho = ro[0:3] * (0.75*f)**(1.0/3.0) - else: - f = np.where(np.isfinite(ro[...,3:4]),2.0*np.arctan(ro[...,3:4]) -np.sin(2.0*np.arctan(ro[...,3:4])),np.pi) - ho = np.where(np.broadcast_to(np.sum(ro[...,0:3]**2.0,axis=-1,keepdims=True) < 1.e-6,ro[...,0:3].shape), - np.zeros(3), ro[...,0:3]* (0.75*f)**(1.0/3.0)) + f = np.where(np.isfinite(ro[...,3:4]),2.0*np.arctan(ro[...,3:4]) -np.sin(2.0*np.arctan(ro[...,3:4])),np.pi) + ho = np.where(np.broadcast_to(np.sum(ro[...,0:3]**2.0,axis=-1,keepdims=True) < 1.e-8,ro[...,0:3].shape), + np.zeros(3), ro[...,0:3]* (0.75*f)**(1.0/3.0)) return ho @staticmethod - def ro2cu(ro): + def _ro2cu(ro): """Rodrigues-Frank vector to cubochoric vector.""" - return Rotation.ho2cu(Rotation.ro2ho(ro)) + return Rotation._ho2cu(Rotation._ro2ho(ro)) #---------- Homochoric vector---------- @staticmethod - def ho2qu(ho): + def _ho2qu(ho): """Homochoric vector to quaternion.""" - return Rotation.ax2qu(Rotation.ho2ax(ho)) + return Rotation._ax2qu(Rotation._ho2ax(ho)) @staticmethod - def ho2om(ho): + def _ho2om(ho): """Homochoric vector to rotation matrix.""" - return Rotation.ax2om(Rotation.ho2ax(ho)) + return Rotation._ax2om(Rotation._ho2ax(ho)) @staticmethod - def ho2eu(ho): + def _ho2eu(ho): """Homochoric vector to Bunge-Euler angles.""" - return Rotation.ax2eu(Rotation.ho2ax(ho)) + return Rotation._ax2eu(Rotation._ho2ax(ho)) @staticmethod - def ho2ax(ho): + def _ho2ax(ho): """Homochoric vector to axis angle pair.""" tfit = np.array([+1.0000000000018852, -0.5000000002194847, -0.024999992127593126, -0.003928701544781374, @@ -1019,40 +1197,25 @@ class Rotation: +0.0001703481934140054, -0.00012062065004116828, +0.000059719705868660826, -0.00001980756723965647, +0.000003953714684212874, -0.00000036555001439719544]) - if len(ho.shape) == 1: - # normalize h and store the magnitude - hmag_squared = np.sum(ho**2.) - if iszero(hmag_squared): - ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) - else: - hm = hmag_squared - - # convert the magnitude to the rotation angle - s = tfit[0] + tfit[1] * hmag_squared - for i in range(2,16): - hm *= hmag_squared - s += tfit[i] * hm - ax = np.append(ho/np.sqrt(hmag_squared),2.0*np.arccos(np.clip(s,-1.0,1.0))) - else: - hmag_squared = np.sum(ho**2.,axis=-1,keepdims=True) - hm = hmag_squared.copy() - s = tfit[0] + tfit[1] * hmag_squared - for i in range(2,16): - hm *= hmag_squared - s += tfit[i] * hm - with np.errstate(invalid='ignore'): - ax = np.where(np.broadcast_to(np.abs(hmag_squared)<1.e-6,ho.shape[:-1]+(4,)), - [ 0.0, 0.0, 1.0, 0.0 ], - np.block([ho/np.sqrt(hmag_squared),2.0*np.arccos(np.clip(s,-1.0,1.0))])) + hmag_squared = np.sum(ho**2.,axis=-1,keepdims=True) + hm = hmag_squared.copy() + s = tfit[0] + tfit[1] * hmag_squared + for i in range(2,16): + hm *= hmag_squared + s += tfit[i] * hm + with np.errstate(invalid='ignore'): + ax = np.where(np.broadcast_to(np.abs(hmag_squared)<1.e-8,ho.shape[:-1]+(4,)), + [ 0.0, 0.0, 1.0, 0.0 ], + np.block([ho/np.sqrt(hmag_squared),2.0*np.arccos(np.clip(s,-1.0,1.0))])) return ax @staticmethod - def ho2ro(ho): + def _ho2ro(ho): """Axis angle pair to Rodrigues-Frank vector.""" - return Rotation.ax2ro(Rotation.ho2ax(ho)) + return Rotation._ax2ro(Rotation._ho2ax(ho)) @staticmethod - def ho2cu(ho): + def _ho2cu(ho): """ Homochoric vector to cubochoric vector. @@ -1062,91 +1225,62 @@ class Rotation: https://doi.org/10.1088/0965-0393/22/7/075013 """ - if len(ho.shape) == 1: - rs = np.linalg.norm(ho) + rs = np.linalg.norm(ho,axis=-1,keepdims=True) - if np.allclose(ho,0.0,rtol=0.0,atol=1.0e-16): - cu = np.zeros(3) - else: - xyz3 = ho[Rotation._get_pyramid_order(ho,'forward')] + xyz3 = np.take_along_axis(ho,Rotation._get_pyramid_order(ho,'forward'),-1) - # inverse M_3 - xyz2 = xyz3[0:2] * np.sqrt( 2.0*rs/(rs+np.abs(xyz3[2])) ) + with np.errstate(invalid='ignore',divide='ignore'): + # inverse M_3 + xyz2 = xyz3[...,0:2] * np.sqrt( 2.0*rs/(rs+np.abs(xyz3[...,2:3])) ) + qxy = np.sum(xyz2**2,axis=-1,keepdims=True) - # inverse M_2 - qxy = np.sum(xyz2**2) + q2 = qxy + np.max(np.abs(xyz2),axis=-1,keepdims=True)**2 + sq2 = np.sqrt(q2) + q = (_beta/np.sqrt(2.0)/_R1) * np.sqrt(q2*qxy/(q2-np.max(np.abs(xyz2),axis=-1,keepdims=True)*sq2)) + tt = np.clip((np.min(np.abs(xyz2),axis=-1,keepdims=True)**2\ + +np.max(np.abs(xyz2),axis=-1,keepdims=True)*sq2)/np.sqrt(2.0)/qxy,-1.0,1.0) + T_inv = np.where(np.abs(xyz2[...,1:2]) <= np.abs(xyz2[...,0:1]), + np.block([np.ones_like(tt),np.arccos(tt)/np.pi*12.0]), + np.block([np.arccos(tt)/np.pi*12.0,np.ones_like(tt)]))*q + T_inv[xyz2<0.0] *= -1.0 + T_inv[np.broadcast_to(np.isclose(qxy,0.0,rtol=0.0,atol=1.0e-12),T_inv.shape)] = 0.0 + cu = np.block([T_inv, np.where(xyz3[...,2:3]<0.0,-np.ones_like(xyz3[...,2:3]),np.ones_like(xyz3[...,2:3])) \ + * rs/np.sqrt(6.0/np.pi), + ])/ _sc - if np.isclose(qxy,0.0,rtol=0.0,atol=1.0e-16): - Tinv = np.zeros(2) - else: - q2 = qxy + np.max(np.abs(xyz2))**2 - sq2 = np.sqrt(q2) - q = (_beta/np.sqrt(2.0)/_R1) * np.sqrt(q2*qxy/(q2-np.max(np.abs(xyz2))*sq2)) - tt = np.clip((np.min(np.abs(xyz2))**2+np.max(np.abs(xyz2))*sq2)/np.sqrt(2.0)/qxy,-1.0,1.0) - Tinv = np.array([1.0,np.arccos(tt)/np.pi*12.0]) if np.abs(xyz2[1]) <= np.abs(xyz2[0]) else \ - np.array([np.arccos(tt)/np.pi*12.0,1.0]) - Tinv = q * np.where(xyz2<0.0,-Tinv,Tinv) - - # inverse M_1 - cu = np.array([ Tinv[0], Tinv[1], (-1.0 if xyz3[2] < 0.0 else 1.0) * rs / np.sqrt(6.0/np.pi) ]) /_sc - cu = cu[Rotation._get_pyramid_order(ho,'backward')] - else: - rs = np.linalg.norm(ho,axis=-1,keepdims=True) - - xyz3 = np.take_along_axis(ho,Rotation._get_pyramid_order(ho,'forward'),-1) - - with np.errstate(invalid='ignore',divide='ignore'): - # inverse M_3 - xyz2 = xyz3[...,0:2] * np.sqrt( 2.0*rs/(rs+np.abs(xyz3[...,2:3])) ) - qxy = np.sum(xyz2**2,axis=-1,keepdims=True) - - q2 = qxy + np.max(np.abs(xyz2),axis=-1,keepdims=True)**2 - sq2 = np.sqrt(q2) - q = (_beta/np.sqrt(2.0)/_R1) * np.sqrt(q2*qxy/(q2-np.max(np.abs(xyz2),axis=-1,keepdims=True)*sq2)) - tt = np.clip((np.min(np.abs(xyz2),axis=-1,keepdims=True)**2\ - +np.max(np.abs(xyz2),axis=-1,keepdims=True)*sq2)/np.sqrt(2.0)/qxy,-1.0,1.0) - T_inv = np.where(np.abs(xyz2[...,1:2]) <= np.abs(xyz2[...,0:1]), - np.block([np.ones_like(tt),np.arccos(tt)/np.pi*12.0]), - np.block([np.arccos(tt)/np.pi*12.0,np.ones_like(tt)]))*q - T_inv[xyz2<0.0] *= -1.0 - T_inv[np.broadcast_to(np.isclose(qxy,0.0,rtol=0.0,atol=1.0e-12),T_inv.shape)] = 0.0 - cu = np.block([T_inv, np.where(xyz3[...,2:3]<0.0,-np.ones_like(xyz3[...,2:3]),np.ones_like(xyz3[...,2:3])) \ - * rs/np.sqrt(6.0/np.pi), - ])/ _sc - - cu[np.isclose(np.sum(np.abs(ho),axis=-1),0.0,rtol=0.0,atol=1.0e-16)] = 0.0 - cu = np.take_along_axis(cu,Rotation._get_pyramid_order(ho,'backward'),-1) + cu[np.isclose(np.sum(np.abs(ho),axis=-1),0.0,rtol=0.0,atol=1.0e-16)] = 0.0 + cu = np.take_along_axis(cu,Rotation._get_pyramid_order(ho,'backward'),-1) return cu #---------- Cubochoric ---------- @staticmethod - def cu2qu(cu): + def _cu2qu(cu): """Cubochoric vector to quaternion.""" - return Rotation.ho2qu(Rotation.cu2ho(cu)) + return Rotation._ho2qu(Rotation._cu2ho(cu)) @staticmethod - def cu2om(cu): + def _cu2om(cu): """Cubochoric vector to rotation matrix.""" - return Rotation.ho2om(Rotation.cu2ho(cu)) + return Rotation._ho2om(Rotation._cu2ho(cu)) @staticmethod - def cu2eu(cu): + def _cu2eu(cu): """Cubochoric vector to Bunge-Euler angles.""" - return Rotation.ho2eu(Rotation.cu2ho(cu)) + return Rotation._ho2eu(Rotation._cu2ho(cu)) @staticmethod - def cu2ax(cu): + def _cu2ax(cu): """Cubochoric vector to axis angle pair.""" - return Rotation.ho2ax(Rotation.cu2ho(cu)) + return Rotation._ho2ax(Rotation._cu2ho(cu)) @staticmethod - def cu2ro(cu): + def _cu2ro(cu): """Cubochoric vector to Rodrigues-Frank vector.""" - return Rotation.ho2ro(Rotation.cu2ho(cu)) + return Rotation._ho2ro(Rotation._cu2ho(cu)) @staticmethod - def cu2ho(cu): + def _cu2ho(cu): """ Cubochoric vector to homochoric vector. @@ -1156,64 +1290,34 @@ class Rotation: https://doi.org/10.1088/0965-0393/22/7/075013 """ - if len(cu.shape) == 1: - # transform to the sphere grid via the curved square, and intercept the zero point - if np.allclose(cu,0.0,rtol=0.0,atol=1.0e-16): - ho = np.zeros(3) - else: - # get pyramide and scale by grid parameter ratio - XYZ = cu[Rotation._get_pyramid_order(cu,'forward')] * _sc + with np.errstate(invalid='ignore',divide='ignore'): + # get pyramide and scale by grid parameter ratio + XYZ = np.take_along_axis(cu,Rotation._get_pyramid_order(cu,'forward'),-1) * _sc + order = np.abs(XYZ[...,1:2]) <= np.abs(XYZ[...,0:1]) + q = np.pi/12.0 * np.where(order,XYZ[...,1:2],XYZ[...,0:1]) \ + / np.where(order,XYZ[...,0:1],XYZ[...,1:2]) + c = np.cos(q) + s = np.sin(q) + q = _R1*2.0**0.25/_beta/ np.sqrt(np.sqrt(2.0)-c) \ + * np.where(order,XYZ[...,0:1],XYZ[...,1:2]) - # intercept all the points along the z-axis - if np.allclose(XYZ[0:2],0.0,rtol=0.0,atol=1.0e-16): - ho = np.array([0.0, 0.0, np.sqrt(6.0/np.pi) * XYZ[2]]) - else: - order = [1,0] if np.abs(XYZ[1]) <= np.abs(XYZ[0]) else [0,1] - q = np.pi/12.0 * XYZ[order[0]]/XYZ[order[1]] - c = np.cos(q) - s = np.sin(q) - q = _R1*2.0**0.25/_beta * XYZ[order[1]] / np.sqrt(np.sqrt(2.0)-c) - T = np.array([ (np.sqrt(2.0)*c - 1.0), np.sqrt(2.0) * s]) * q + T = np.block([ (np.sqrt(2.0)*c - 1.0), np.sqrt(2.0) * s]) * q - # transform to sphere grid (inverse Lambert) - # note that there is no need to worry about dividing by zero, since XYZ[2] can not become zero - c = np.sum(T**2) - s = c * np.pi/24.0 /XYZ[2]**2 - c = c * np.sqrt(np.pi/24.0)/XYZ[2] + # transform to sphere grid (inverse Lambert) + c = np.sum(T**2,axis=-1,keepdims=True) + s = c * np.pi/24.0 /XYZ[...,2:3]**2 + c = c * np.sqrt(np.pi/24.0)/XYZ[...,2:3] + q = np.sqrt( 1.0 - s) - q = np.sqrt( 1.0 - s ) - ho = np.array([ T[order[1]] * q, T[order[0]] * q, np.sqrt(6.0/np.pi) * XYZ[2] - c ]) + ho = np.where(np.isclose(np.sum(np.abs(XYZ[...,0:2]),axis=-1,keepdims=True),0.0,rtol=0.0,atol=1.0e-16), + np.block([np.zeros_like(XYZ[...,0:2]),np.sqrt(6.0/np.pi) *XYZ[...,2:3]]), + np.block([np.where(order,T[...,0:1],T[...,1:2])*q, + np.where(order,T[...,1:2],T[...,0:1])*q, + np.sqrt(6.0/np.pi) * XYZ[...,2:3] - c]) + ) - ho = ho[Rotation._get_pyramid_order(cu,'backward')] - else: - with np.errstate(invalid='ignore',divide='ignore'): - # get pyramide and scale by grid parameter ratio - XYZ = np.take_along_axis(cu,Rotation._get_pyramid_order(cu,'forward'),-1) * _sc - order = np.abs(XYZ[...,1:2]) <= np.abs(XYZ[...,0:1]) - q = np.pi/12.0 * np.where(order,XYZ[...,1:2],XYZ[...,0:1]) \ - / np.where(order,XYZ[...,0:1],XYZ[...,1:2]) - c = np.cos(q) - s = np.sin(q) - q = _R1*2.0**0.25/_beta/ np.sqrt(np.sqrt(2.0)-c) \ - * np.where(order,XYZ[...,0:1],XYZ[...,1:2]) - - T = np.block([ (np.sqrt(2.0)*c - 1.0), np.sqrt(2.0) * s]) * q - - # transform to sphere grid (inverse Lambert) - c = np.sum(T**2,axis=-1,keepdims=True) - s = c * np.pi/24.0 /XYZ[...,2:3]**2 - c = c * np.sqrt(np.pi/24.0)/XYZ[...,2:3] - q = np.sqrt( 1.0 - s) - - ho = np.where(np.isclose(np.sum(np.abs(XYZ[...,0:2]),axis=-1,keepdims=True),0.0,rtol=0.0,atol=1.0e-16), - np.block([np.zeros_like(XYZ[...,0:2]),np.sqrt(6.0/np.pi) *XYZ[...,2:3]]), - np.block([np.where(order,T[...,0:1],T[...,1:2])*q, - np.where(order,T[...,1:2],T[...,0:1])*q, - np.sqrt(6.0/np.pi) * XYZ[...,2:3] - c]) - ) - - ho[np.isclose(np.sum(np.abs(cu),axis=-1),0.0,rtol=0.0,atol=1.0e-16)] = 0.0 - ho = np.take_along_axis(ho,Rotation._get_pyramid_order(cu,'backward'),-1) + ho[np.isclose(np.sum(np.abs(cu),axis=-1),0.0,rtol=0.0,atol=1.0e-16)] = 0.0 + ho = np.take_along_axis(ho,Rotation._get_pyramid_order(cu,'backward'),-1) return ho @@ -1237,20 +1341,10 @@ class Rotation: https://doi.org/10.1088/0965-0393/22/7/075013 """ - order = {'forward':np.array([[0,1,2],[1,2,0],[2,0,1]]), + order = {'forward': np.array([[0,1,2],[1,2,0],[2,0,1]]), 'backward':np.array([[0,1,2],[2,0,1],[1,2,0]])} - if len(xyz.shape) == 1: - if np.maximum(abs(xyz[0]),abs(xyz[1])) <= xyz[2] or \ - np.maximum(abs(xyz[0]),abs(xyz[1])) <=-xyz[2]: - p = 0 - elif np.maximum(abs(xyz[1]),abs(xyz[2])) <= xyz[0] or \ - np.maximum(abs(xyz[1]),abs(xyz[2])) <=-xyz[0]: - p = 1 - elif np.maximum(abs(xyz[2]),abs(xyz[0])) <= xyz[1] or \ - np.maximum(abs(xyz[2]),abs(xyz[0])) <=-xyz[1]: - p = 2 - else: - p = np.where(np.maximum(np.abs(xyz[...,0]),np.abs(xyz[...,1])) <= np.abs(xyz[...,2]),0, - np.where(np.maximum(np.abs(xyz[...,1]),np.abs(xyz[...,2])) <= np.abs(xyz[...,0]),1,2)) + + p = np.where(np.maximum(np.abs(xyz[...,0]),np.abs(xyz[...,1])) <= np.abs(xyz[...,2]),0, + np.where(np.maximum(np.abs(xyz[...,1]),np.abs(xyz[...,2])) <= np.abs(xyz[...,0]),1,2)) return order[direction][p] diff --git a/python/damask/_table.py b/python/damask/_table.py index d180e5914..dd8df97b0 100644 --- a/python/damask/_table.py +++ b/python/damask/_table.py @@ -1,9 +1,10 @@ import re +import copy import pandas as pd import numpy as np -from . import version +from . import util class Table: """Store spreadsheet-like data.""" @@ -18,27 +19,44 @@ class Table: Data. Column labels from a pandas.DataFrame will be replaced. shapes : dict with str:tuple pairs Shapes of the columns. Example 'F':(3,3) for a deformation gradient. - comments : iterable of str, optional + comments : str or iterable of str, optional Additional, human-readable information. """ - self.comments = [] if comments is None else [c for c in comments] + comments_ = [comments] if isinstance(comments,str) else comments + self.comments = [] if comments_ is None else [c for c in comments_] self.data = pd.DataFrame(data=data) - self.shapes = shapes - self._label_condensed() + self.shapes = { k:(v,) if isinstance(v,(np.int,int)) else v for k,v in shapes.items() } + self._label_uniform() + + def __repr__(self): + """Brief overview.""" + return util.srepr(self.comments)+'\n'+self.data.__repr__() + + def __len__(self): + """Number of rows.""" + return len(self.data) + + def __copy__(self): + """Copy Table.""" + return copy.deepcopy(self) + + def copy(self): + """Copy Table.""" + return self.__copy__() - def _label_flat(self): + def _label_discrete(self): """Label data individually, e.g. v v v ==> 1_v 2_v 3_v.""" labels = [] for label,shape in self.shapes.items(): size = int(np.prod(shape)) - labels += ['{}{}'.format('' if size == 1 else '{}_'.format(i+1),label) for i in range(size)] + labels += [('' if size == 1 else f'{i+1}_')+label for i in range(size)] self.data.columns = labels - def _label_condensed(self): - """Label data condensed, e.g. 1_v 2_v 3_v ==> v v v.""" + def _label_uniform(self): + """Label data uniformly, e.g. 1_v 2_v 3_v ==> v v v.""" labels = [] for label,shape in self.shapes.items(): labels += [label] * int(np.prod(shape)) @@ -47,17 +65,21 @@ class Table: def _add_comment(self,label,shape,info): if info is not None: - c = '{}{}: {}'.format(label,' '+str(shape) if np.prod(shape,dtype=int) > 1 else '',info) - self.comments.append(c) + specific = f'{label}{" "+str(shape) if np.prod(shape,dtype=int) > 1 else ""}: {info}' + general = util.execution_stamp('Table') + self.comments.append(f'{specific} / {general}') @staticmethod - def from_ASCII(fname): + def load(fname): """ - Create table from ASCII file. + Load ASCII table file. - The first line can indicate the number of subsequent header lines as 'n header', - alternatively first line is the header and comments are marked by '#' ('new style'). + In legacy style, the first line indicates the number of + subsequent header lines as "N header", with the last header line being + interpreted as column labels. + Alternatively, initial comments are marked by '#', with the first non-comment line + containing the column labels. Vector data column labels are indicated by '1_v, 2_v, ..., n_v'. Tensor data column labels are indicated by '3x3:1_T, 3x3:2_T, ..., 3x3:9_T'. @@ -107,9 +129,9 @@ class Table: return Table(data,shapes,comments) @staticmethod - def from_ang(fname): + def load_ang(fname): """ - Create table from TSL ang file. + Load ang file. A valid TSL ang file needs to contains the following columns: * Euler angles (Bunge notation) in radians, 3 floats, label 'eu'. @@ -126,8 +148,6 @@ class Table: Filename or file for reading. """ - shapes = {'eu':(3,), 'pos':(2,), - 'IQ':(1,), 'CI':(1,), 'ID':(1,), 'intensity':(1,), 'fit':(1,)} try: f = open(fname) except TypeError: @@ -136,7 +156,7 @@ class Table: content = f.readlines() - comments = ['table.py:from_ang v {}'.format(version)] + comments = [util.execution_stamp('Table','from_ang')] for line in content: if line.startswith('#'): comments.append(line.strip()) @@ -144,8 +164,11 @@ class Table: break data = np.loadtxt(content) - for c in range(data.shape[1]-10): - shapes['n/a_{}'.format(c+1)] = (1,) + + shapes = {'eu':3, 'pos':2, 'IQ':1, 'CI':1, 'ID':1, 'intensity':1, 'fit':1} + remainder = data.shape[1]-sum(shapes.values()) + if remainder > 0: # 3.8 can do: if (remainder := data.shape[1]-sum(shapes.values())) > 0 + shapes['unknown'] = remainder return Table(data,shapes,comments) @@ -188,15 +211,16 @@ class Table: Human-readable information about the new data. """ - self._add_comment(label,data.shape[1:],info) + dup = self.copy() + dup._add_comment(label,data.shape[1:],info) if re.match(r'[0-9]*?_',label): idx,key = label.split('_',1) - iloc = self.data.columns.get_loc(key).tolist().index(True) + int(idx) -1 - self.data.iloc[:,iloc] = data + iloc = dup.data.columns.get_loc(key).tolist().index(True) + int(idx) -1 + dup.data.iloc[:,iloc] = data else: - self.data[label] = data.reshape(self.data[label].shape) - + dup.data[label] = data.reshape(dup.data[label].shape) + return dup def add(self,label,data,info=None): """ @@ -212,15 +236,17 @@ class Table: Human-readable information about the modified data. """ - self._add_comment(label,data.shape[1:],info) + dup = self.copy() + dup._add_comment(label,data.shape[1:],info) - self.shapes[label] = data.shape[1:] if len(data.shape) > 1 else (1,) + dup.shapes[label] = data.shape[1:] if len(data.shape) > 1 else (1,) size = np.prod(data.shape[1:],dtype=int) new = pd.DataFrame(data=data.reshape(-1,size), columns=[label]*size, ) - new.index = self.data.index - self.data = pd.concat([self.data,new],axis=1) + new.index = dup.data.index + dup.data = pd.concat([dup.data,new],axis=1) + return dup def delete(self,label): @@ -233,27 +259,31 @@ class Table: Column label. """ - self.data.drop(columns=label,inplace=True) - - del self.shapes[label] + dup = self.copy() + dup.data.drop(columns=label,inplace=True) + del dup.shapes[label] + return dup - def rename(self,label_old,label_new,info=None): + def rename(self,old,new,info=None): """ Rename column data. Parameters ---------- - label_old : str - Old column label. - label_new : str - New column label. + label_old : str or iterable of str + Old column label(s). + label_new : str or iterable of str + New column label(s). """ - self.data.rename(columns={label_old:label_new},inplace=True) - c = '{} => {}{}'.format(label_old,label_new,'' if info is None else ': {}'.format(info)) - self.comments.append(c) - self.shapes = {(label if label != label_old else label_new):self.shapes[label] for label in self.shapes} + dup = self.copy() + columns = dict(zip([old] if isinstance(old,str) else old, + [new] if isinstance(new,str) else new)) + dup.data.rename(columns=columns,inplace=True) + dup.comments.append(f'{old} => {new}'+('' if info is None else f': {info}')) + dup.shapes = {(label if label not in columns else columns[label]):dup.shapes[label] for label in dup.shapes} + return dup def sort_by(self,labels,ascending=True): @@ -268,10 +298,12 @@ class Table: Set sort order. """ - self._label_flat() - self.data.sort_values(labels,axis=0,inplace=True,ascending=ascending) - self._label_condensed() - self.comments.append('sorted by [{}]'.format(', '.join(labels))) + dup = self.copy() + dup._label_discrete() + dup.data.sort_values(labels,axis=0,inplace=True,ascending=ascending) + dup._label_uniform() + dup.comments.append(f'sorted {"ascending" if ascending else "descending"} by {labels}') + return dup def append(self,other): @@ -289,7 +321,9 @@ class Table: if self.shapes != other.shapes or not self.data.columns.equals(other.data.columns): raise KeyError('Labels or shapes or order do not match') else: - self.data = self.data.append(other.data,ignore_index=True) + dup = self.copy() + dup.data = dup.data.append(other.data,ignore_index=True) + return dup def join(self,other): @@ -307,45 +341,45 @@ class Table: if set(self.shapes) & set(other.shapes) or self.data.shape[0] != other.data.shape[0]: raise KeyError('Dublicated keys or row count mismatch') else: - self.data = self.data.join(other.data) + dup = self.copy() + dup.data = dup.data.join(other.data) for key in other.shapes: - self.shapes[key] = other.shapes[key] + dup.shapes[key] = other.shapes[key] + return dup - def to_ASCII(self,fname,new_style=False): + def save(self,fname,legacy=False): """ - Store as plain text file. + Save as plain text file. Parameters ---------- fname : file, str, or pathlib.Path Filename or file for writing. - new_style : Boolean, optional - Write table in new style, indicating header lines by comment sign ('#') only. + legacy : Boolean, optional + Write table in legacy style, indicating header lines by "N header" + in contrast to using comment sign ('#') at beginning of lines. """ seen = set() labels = [] for l in [x for x in self.data.columns if not (x in seen or seen.add(x))]: if self.shapes[l] == (1,): - labels.append('{}'.format(l)) + labels.append(f'{l}') elif len(self.shapes[l]) == 1: - labels += ['{}_{}'.format(i+1,l) \ + labels += [f'{i+1}_{l}' \ for i in range(self.shapes[l][0])] else: - labels += ['{}:{}_{}'.format('x'.join([str(d) for d in self.shapes[l]]),i+1,l) \ + labels += [f'{util.srepr(self.shapes[l],"x")}:{i+1}_{l}' \ for i in range(np.prod(self.shapes[l]))] - if new_style: - header = ['# {}'.format(comment) for comment in self.comments] - else: - header = ['{} header'.format(len(self.comments)+1)] \ - + self.comments \ + header = ([f'{len(self.comments)+1} header'] + self.comments) if legacy else \ + [f'# {comment}' for comment in self.comments] try: - f = open(fname,'w') + fhandle = open(fname,'w') except TypeError: - f = fname + fhandle = fname - for line in header + [' '.join(labels)]: f.write(line+'\n') - self.data.to_csv(f,sep=' ',na_rep='nan',index=False,header=False) + for line in header + [' '.join(labels)]: fhandle.write(line+'\n') + self.data.to_csv(fhandle,sep=' ',na_rep='nan',index=False,header=False) diff --git a/python/damask/_test.py b/python/damask/_test.py index a46eedac8..5cadc9dfe 100644 --- a/python/damask/_test.py +++ b/python/damask/_test.py @@ -53,7 +53,7 @@ class Test: self.dirBase = os.path.dirname(os.path.realpath(sys.modules[self.__class__.__module__].__file__)) self.parser = OptionParser(option_class=damask.extendableOption, - description = '{} (Test class version: {})'.format(self.description,damask.version), + description = f'{self.description} (Test class version: {damask.version})', usage = './test.py [options]') self.parser.add_option("-k", "--keep", action = "store_true", @@ -93,7 +93,7 @@ class Test: for variant,object in enumerate(self.variants): name = self.variantName(variant) if self.options.show: - logging.critical('{}: {}'.format(variant+1,name)) + logging.critical(f'{variant+1}: {name}') elif self.options.select is not None \ and not (name in self.options.select or str(variant+1) in self.options.select): pass @@ -106,12 +106,12 @@ class Test: self.postprocess(variant) if self.options.update: - if self.update(variant) != 0: logging.critical('update for "{}" failed.'.format(name)) + if self.update(variant) != 0: logging.critical(f'update for "{name}" failed.') elif not (self.options.accept or self.compare(variant)): # no update, do comparison return variant+1 # return culprit except Exception as e: - logging.critical('exception during variant execution: "{}"'.format(str(e))) + logging.critical(f'exception during variant execution: "{e}"') return variant+1 # return culprit return 0 @@ -124,13 +124,13 @@ class Test: try: shutil.rmtree(self.dirCurrent()) except FileNotFoundError: - logging.warning('removal of directory "{}" not possible...'.format(self.dirCurrent())) + logging.warning(f'removal of directory "{self.dirCurrent()}" not possible...') try: os.mkdir(self.dirCurrent()) return True except FileExistsError: - logging.critical('creation of directory "{}" failed.'.format(self.dirCurrent())) + logging.critical(f'creation of directory "{self.dirCurrent()}" failed.') return False def prepareAll(self): @@ -180,7 +180,7 @@ class Test: def fileInRoot(self,dir,file): """Path to a file in the root directory of DAMASK.""" - return os.path.join(damask.Environment().rootDir(),dir,file) + return str(damask.environment.root_dir/dir/file) def fileInReference(self,file): @@ -211,7 +211,7 @@ class Test: try: shutil.copy2(source,target) except FileNotFoundError: - logging.critical('error copying {} to {}'.format(source,target)) + logging.critical(f'error copying {source} to {target}') raise FileNotFoundError @@ -222,20 +222,20 @@ class Test: try: shutil.copy2(self.fileInReference(f),self.fileInCurrent(targetfiles[i])) except FileNotFoundError: - logging.critical('Reference2Current: Unable to copy file "{}"'.format(f)) + logging.critical(f'Reference2Current: Unable to copy file "{f}"') raise FileNotFoundError def copy_Base2Current(self,sourceDir,sourcefiles=[],targetfiles=[]): - source=os.path.normpath(os.path.join(self.dirBase,'../../..',sourceDir)) + source = os.path.normpath(os.path.join(self.dirBase,'../../..',sourceDir)) if len(targetfiles) == 0: targetfiles = sourcefiles for i,f in enumerate(sourcefiles): try: shutil.copy2(os.path.join(source,f),self.fileInCurrent(targetfiles[i])) except FileNotFoundError: logging.error(os.path.join(source,f)) - logging.critical('Base2Current: Unable to copy file "{}"'.format(f)) + logging.critical(f'Base2Current: Unable to copy file "{f}"') raise FileNotFoundError @@ -246,7 +246,7 @@ class Test: try: shutil.copy2(self.fileInCurrent(f),self.fileInReference(targetfiles[i])) except FileNotFoundError: - logging.critical('Current2Reference: Unable to copy file "{}"'.format(f)) + logging.critical(f'Current2Reference: Unable to copy file "{f}"') raise FileNotFoundError @@ -257,7 +257,7 @@ class Test: try: shutil.copy2(self.fileInProof(f),self.fileInCurrent(targetfiles[i])) except FileNotFoundError: - logging.critical('Proof2Current: Unable to copy file "{}"'.format(f)) + logging.critical(f'Proof2Current: Unable to copy file "{f}"') raise FileNotFoundError @@ -267,7 +267,7 @@ class Test: try: shutil.copy2(self.fileInReference(f),self.fileInCurrent(targetfiles[i])) except FileNotFoundError: - logging.critical('Current2Current: Unable to copy file "{}"'.format(f)) + logging.critical(f'Current2Current: Unable to copy file "{f}"') raise FileNotFoundError @@ -287,32 +287,30 @@ class Test: import numpy as np logging.info('\n '.join(['comparing',File1,File2])) - table = damask.Table.from_ASCII(File1) - len1=len(table.comments)+2 - table = damask.Table.from_ASCII(File2) - len2=len(table.comments)+2 + table = damask.Table.load(File1) + len1 = len(table.comments)+2 + table = damask.Table.load(File2) + len2 = len(table.comments)+2 refArray = np.nan_to_num(np.genfromtxt(File1,missing_values='n/a',skip_header = len1,autostrip=True)) curArray = np.nan_to_num(np.genfromtxt(File2,missing_values='n/a',skip_header = len2,autostrip=True)) if len(curArray) == len(refArray): refArrayNonZero = refArray[refArray.nonzero()] - curArray = curArray[refArray.nonzero()] - max_err=np.max(abs(refArrayNonZero[curArray.nonzero()]/curArray[curArray.nonzero()]-1.)) - max_loc=np.argmax(abs(refArrayNonZero[curArray.nonzero()]/curArray[curArray.nonzero()]-1.)) + curArray = curArray[refArray.nonzero()] + max_err = np. max(abs(refArrayNonZero[curArray.nonzero()]/curArray[curArray.nonzero()]-1.)) + max_loc = np.argmax(abs(refArrayNonZero[curArray.nonzero()]/curArray[curArray.nonzero()]-1.)) refArrayNonZero = refArrayNonZero[curArray.nonzero()] - curArray = curArray[curArray.nonzero()] - print(' ********\n * maximum relative error {} between {} and {}\n ********'.format(max_err, - refArrayNonZero[max_loc], - curArray[max_loc])) + curArray = curArray[curArray.nonzero()] + print(f' ********\n * maximum relative error {max_err} between {refArrayNonZero[max_loc]} and {curArray[max_loc]}\n ********') return max_err else: - raise Exception('mismatch in array size to compare') + raise Exception(f'mismatch in array sizes ({len(refArray)} and {len(curArray)}) to compare') def compare_ArrayRefCur(self,ref,cur=''): - if cur =='': cur = ref + if cur == '': cur = ref refName = self.fileInReference(ref) curName = self.fileInCurrent(cur) return self.compare_Array(refName,curName) @@ -333,7 +331,7 @@ class Test: logging.info('\n '.join(['comparing ASCII Tables',file0,file1])) if normHeadings == '': normHeadings = headings0 -# check if comparison is possible and determine lenght of columns +# check if comparison is possible and determine length of columns if len(headings0) == len(headings1) == len(normHeadings): dataLength = len(headings0) length = [1 for i in range(dataLength)] @@ -350,7 +348,7 @@ class Test: for i in range(dataLength): if headings0[i]['shape'] != headings1[i]['shape']: - raise Exception('shape mismatch between {} and {} '.format(headings0[i]['label'],headings1[i]['label'])) + raise Exception(f"shape mismatch between {headings0[i]['label']} and {headings1[i]['label']}") shape[i] = headings0[i]['shape'] for j in range(np.shape(shape[i])[0]): length[i] *= shape[i][j] @@ -358,9 +356,7 @@ class Test: for j in range(np.shape(normShape[i])[0]): normLength[i] *= normShape[i][j] else: - raise Exception('trying to compare {} with {} normed by {} data sets'.format(len(headings0), - len(headings1), - len(normHeadings))) + raise Exception(f'trying to compare {len(headings0)} with {len(headings1)} normed by {len(normHeadings)} data sets') table0 = damask.ASCIItable(name=file0,readonly=True) table0.head_read() @@ -372,11 +368,11 @@ class Test: key1 = ('1_' if length[i]>1 else '') + headings1[i]['label'] normKey = ('1_' if normLength[i]>1 else '') + normHeadings[i]['label'] if key0 not in table0.labels(raw = True): - raise Exception('column "{}" not found in first table...\n'.format(key0)) + raise Exception(f'column "{key0}" not found in first table...') elif key1 not in table1.labels(raw = True): - raise Exception('column "{}" not found in second table...\n'.format(key1)) + raise Exception(f'column "{key1}" not found in second table...') elif normKey not in table0.labels(raw = True): - raise Exception('column "{}" not found in first table...\n'.format(normKey)) + raise Exception(f'column "{normKey}" not found in first table...') else: column[0][i] = table0.label_index(key0) column[1][i] = table1.label_index(key1) @@ -403,10 +399,8 @@ class Test: if any(norm[i]) == 0.0 or absTol[i]: norm[i] = [1.0 for j in range(line0-len(skipLines))] absTol[i] = True - if perLine: - logging.warning('At least one norm of "{}" in first table is 0.0, using absolute tolerance'.format(headings0[i]['label'])) - else: - logging.warning('Maximum norm of "{}" in first table is 0.0, using absolute tolerance'.format(headings0[i]['label'])) + logging.warning(f'''{"At least one" if perLine else "Maximum"} norm of + "{headings0[i]['label']}" in first table is 0.0, using absolute tolerance''') line1 = 0 while table1.data_read(): # read next data line of ASCII table @@ -418,28 +412,22 @@ class Test: norm[i][line1-len(skipLines)]) line1 +=1 - if (line0 != line1): raise Exception('found {} lines in first table but {} in second table'.format(line0,line1)) + if (line0 != line1): raise Exception(f'found {line0} lines in first table but {line1} in second table') logging.info(' ********') for i in range(dataLength): - if absTol[i]: - logging.info(' * maximum absolute error {} between {} and {}'.format(maxError[i], - headings0[i]['label'], - headings1[i]['label'])) - else: - logging.info(' * maximum relative error {} between {} and {}'.format(maxError[i], - headings0[i]['label'], - headings1[i]['label'])) + logging.info(f''' * maximum {'absolute' if absTol[i] else 'relative'} error {maxError[i]} + between {headings0[i]['label']} and {headings1[i]['label']}''') logging.info(' ********') return maxError def compare_TablesStatistically(self, - files = [None,None], # list of file names - columns = [None], # list of list of column labels (per file) - meanTol = 1.0e-4, - stdTol = 1.0e-6, - preFilter = 1.0e-9): + files = [None,None], # list of file names + columns = [None], # list of list of column labels (per file) + meanTol = 1.0e-4, + stdTol = 1.0e-6, + preFilter = 1.0e-9): """ Calculate statistics of tables. @@ -448,9 +436,9 @@ class Test: if not (isinstance(files, Iterable) and not isinstance(files, str)): # check whether list of files is requested files = [str(files)] - tables = [damask.Table.from_ASCII(filename) for filename in files] + tables = [damask.Table.load(filename) for filename in files] for table in tables: - table._label_flat() + table._label_discrete() columns += [columns[0]]*(len(files)-len(columns)) # extend to same length as files columns = columns[:len(files)] # truncate to same length as files @@ -470,7 +458,7 @@ class Test: data = [] for table,labels in zip(tables,columns): - table._label_condensed() + table._label_uniform() data.append(np.hstack(list(table.get(label) for label in labels))) @@ -479,12 +467,11 @@ class Test: normBy = (np.abs(data[i]) + np.abs(data[i-1]))*0.5 normedDelta = np.where(normBy>preFilter,delta/normBy,0.0) mean = np.amax(np.abs(np.mean(normedDelta,0))) - std = np.amax(np.std(normedDelta,0)) - logging.info('mean: {:f}'.format(mean)) - logging.info('std: {:f}'.format(std)) - - return (mean atol + rtol*np.absolute(data[1]) - logging.info('shape of violators: {}'.format(violators.shape)) + logging.info(f'shape of violators: {violators.shape}') for j,culprits in enumerate(violators): goodguys = np.logical_not(culprits) if culprits.any(): - logging.info('{} has {}'.format(j,np.sum(culprits))) - logging.info('deviation: {}'.format(np.absolute(data[0][j]-data[1][j])[culprits])) - logging.info('data : {}'.format(np.absolute(data[1][j])[culprits])) - logging.info('deviation: {}'.format(np.absolute(data[0][j]-data[1][j])[goodguys])) - logging.info('data : {}'.format(np.absolute(data[1][j])[goodguys])) + logging.info(f'{j} has {np.sum(culprits)}') + logging.info(f'deviation: {np.absolute(data[0][j]-data[1][j])[culprits]}') + logging.info(f'data : {np.absolute(data[1][j])[culprits]}') + logging.info(f'deviation: {np.absolute(data[0][j]-data[1][j])[goodguys]}') + logging.info(f'data : {np.absolute(data[1][j])[goodguys]}') allclose = True # start optimistic for i in range(1,len(data)): @@ -588,12 +575,12 @@ class Test: if culprit == 0: count = len(self.variants) if self.options.select is None else len(self.options.select) - msg = 'Test passed.' if count == 1 else 'All {} tests passed.'.format(count) + msg = ('Test passed.' if count == 1 else f'All {count} tests passed.') + '\a\a\a' elif culprit == -1: msg = 'Warning: could not start test...' ret = 0 else: - msg = 'Test "{}" failed.'.format(self.variantName(culprit-1)) + msg = f'Test "{self.variantName(culprit-1)}" failed.' logging.critical('\n'.join(['*'*40,msg,'*'*40]) + '\n') return ret diff --git a/python/damask/_vtk.py b/python/damask/_vtk.py index 4505a5ebc..10f3b482b 100644 --- a/python/damask/_vtk.py +++ b/python/damask/_vtk.py @@ -1,14 +1,16 @@ -import os +import multiprocessing as mp +from pathlib import Path import pandas as pd import numpy as np import vtk from vtk.util.numpy_support import numpy_to_vtk as np_to_vtk from vtk.util.numpy_support import numpy_to_vtkIdTypeArray as np_to_vtkIdTypeArray +from vtk.util.numpy_support import vtk_to_numpy as vtk_to_np +from . import util +from . import environment from . import Table -from . import Environment -from . import version class VTK: @@ -18,52 +20,55 @@ class VTK: High-level interface to VTK. """ - def __init__(self,geom): + def __init__(self,vtk_data): """ - Set geometry and topology. + Initialize from vtk dataset. Parameters ---------- - geom : subclass of vtk.vtkDataSet - Description of geometry and topology. Valid types are vtk.vtkRectilinearGrid, - vtk.vtkUnstructuredGrid, or vtk.vtkPolyData. + vtk_data : subclass of vtk.vtkDataSet + Description of geometry and topology, optionally with attached data. + Valid types are vtk.vtkRectilinearGrid, vtk.vtkUnstructuredGrid, + or vtk.vtkPolyData. """ - self.geom = geom + self.vtk_data = vtk_data @staticmethod - def from_rectilinearGrid(grid,size,origin=np.zeros(3)): + def from_rectilinear_grid(grid,size,origin=np.zeros(3)): """ Create VTK of type vtk.vtkRectilinearGrid. - This is the common type for results from the grid solver. + This is the common type for grid solver results. Parameters ---------- - grid : numpy.ndarray of shape (3) of np.dtype = int - Number of cells. - size : numpy.ndarray of shape (3) - Physical length. - origin : numpy.ndarray of shape (3), optional - Spatial origin. + grid : iterable of int, len (3) + Number of cells along each dimension. + size : iterable of float, len (3) + Physical lengths along each dimension. + origin : iterable of float, len (3), optional + Spatial origin coordinates. """ - geom = vtk.vtkRectilinearGrid() - geom.SetDimensions(*(grid+1)) - geom.SetXCoordinates(np_to_vtk(np.linspace(origin[0],origin[0]+size[0],grid[0]+1),deep=True)) - geom.SetYCoordinates(np_to_vtk(np.linspace(origin[1],origin[1]+size[1],grid[1]+1),deep=True)) - geom.SetZCoordinates(np_to_vtk(np.linspace(origin[2],origin[2]+size[2],grid[2]+1),deep=True)) + vtk_data = vtk.vtkRectilinearGrid() + vtk_data.SetDimensions(*(np.array(grid)+1)) + coord = [np_to_vtk(np.linspace(origin[i],origin[i]+size[i],grid[i]+1),deep=True) for i in [0,1,2]] + [coord[i].SetName(n) for i,n in enumerate(['x','y','z'])] + vtk_data.SetXCoordinates(coord[0]) + vtk_data.SetYCoordinates(coord[1]) + vtk_data.SetZCoordinates(coord[2]) - return VTK(geom) + return VTK(vtk_data) @staticmethod - def from_unstructuredGrid(nodes,connectivity,cell_type): + def from_unstructured_grid(nodes,connectivity,cell_type): """ Create VTK of type vtk.vtkUnstructuredGrid. - This is the common type for results from FEM solvers. + This is the common type for FEM solver results. Parameters ---------- @@ -83,15 +88,15 @@ class VTK: connectivity),axis=1).ravel() cells.SetCells(connectivity.shape[0],np_to_vtkIdTypeArray(T,deep=True)) - geom = vtk.vtkUnstructuredGrid() - geom.SetPoints(vtk_nodes) - geom.SetCells(eval('vtk.VTK_{}'.format(cell_type.split('_',1)[-1].upper())),cells) + vtk_data = vtk.vtkUnstructuredGrid() + vtk_data.SetPoints(vtk_nodes) + vtk_data.SetCells(eval(f'vtk.VTK_{cell_type.split("_",1)[-1].upper()}'),cells) - return VTK(geom) + return VTK(vtk_data) @staticmethod - def from_polyData(points): + def from_poly_data(points): """ Create VTK of type vtk.polyData. @@ -103,44 +108,53 @@ class VTK: Spatial position of the points. """ + N = points.shape[0] vtk_points = vtk.vtkPoints() vtk_points.SetData(np_to_vtk(points)) - geom = vtk.vtkPolyData() - geom.SetPoints(vtk_points) + vtk_cells = vtk.vtkCellArray() + vtk_cells.SetNumberOfCells(N) + vtk_cells.SetCells(N,np_to_vtkIdTypeArray(np.stack((np.ones (N,dtype=np.int64), + np.arange(N,dtype=np.int64)),axis=1).ravel(),deep=True)) - return VTK(geom) + vtk_data = vtk.vtkPolyData() + vtk_data.SetPoints(vtk_points) + vtk_data.SetVerts(vtk_cells) + + return VTK(vtk_data) @staticmethod - def from_file(fname,dataset_type=None): + def load(fname,dataset_type=None): """ Create VTK from file. Parameters ---------- - fname : str - Filename for reading. Valid extensions are *.vtr, *.vtu, *.vtp, and *.vtk. + fname : str or pathlib.Path + Filename for reading. Valid extensions are .vtr, .vtu, .vtp, and .vtk. dataset_type : str, optional - Name of the vtk.vtkDataSet subclass when opening an *.vtk file. Valid types are vtkRectilinearGrid, + Name of the vtk.vtkDataSet subclass when opening a .vtk file. Valid types are vtkRectilinearGrid, vtkUnstructuredGrid, and vtkPolyData. """ - ext = os.path.splitext(fname)[1] - if ext == '.vtk': + ext = Path(fname).suffix + if ext == '.vtk' or dataset_type is not None: reader = vtk.vtkGenericDataObjectReader() - reader.SetFileName(fname) - reader.Update() + reader.SetFileName(str(fname)) if dataset_type is None: raise TypeError('Dataset type for *.vtk file not given.') elif dataset_type.lower().endswith('rectilineargrid'): - geom = reader.GetRectilinearGridOutput() + reader.Update() + vtk_data = reader.GetRectilinearGridOutput() elif dataset_type.lower().endswith('unstructuredgrid'): - geom = reader.GetUnstructuredGridOutput() + reader.Update() + vtk_data = reader.GetUnstructuredGridOutput() elif dataset_type.lower().endswith('polydata'): - geom = reader.GetPolyDataOutput() + reader.Update() + vtk_data = reader.GetPolyDataOutput() else: - raise TypeError('Unknown dataset type for vtk file {}'.format(dataset_type)) + raise TypeError(f'Unknown dataset type {dataset_type} for vtk file') else: if ext == '.vtr': reader = vtk.vtkXMLRectilinearGridReader() @@ -149,60 +163,95 @@ class VTK: elif ext == '.vtp': reader = vtk.vtkXMLPolyDataReader() else: - raise TypeError('Unknown file extension {}'.format(ext)) + raise TypeError(f'Unknown file extension {ext}') - reader.SetFileName(fname) + reader.SetFileName(str(fname)) reader.Update() - geom = reader.GetOutput() + vtk_data = reader.GetOutput() - return VTK(geom) + return VTK(vtk_data) - def write(self,fname): + @staticmethod + def _write(writer): + """Wrapper for parallel writing.""" + writer.Write() + def save(self,fname,parallel=True,compress=True): """ Write to file. Parameters ---------- - fname : str + fname : str or pathlib.Path Filename for writing. + parallel : boolean, optional + Write data in parallel background process. Defaults to True. + compress : bool, optional + Compress with zlib algorithm. Defaults to True. """ - if isinstance(self.geom,vtk.vtkRectilinearGrid): + if isinstance(self.vtk_data,vtk.vtkRectilinearGrid): writer = vtk.vtkXMLRectilinearGridWriter() - elif isinstance(self.geom,vtk.vtkUnstructuredGrid): + elif isinstance(self.vtk_data,vtk.vtkUnstructuredGrid): writer = vtk.vtkXMLUnstructuredGridWriter() - elif isinstance(self.geom,vtk.vtkPolyData): + elif isinstance(self.vtk_data,vtk.vtkPolyData): writer = vtk.vtkXMLPolyDataWriter() default_ext = writer.GetDefaultFileExtension() - name, ext = os.path.splitext(fname) + ext = Path(fname).suffix if ext and ext != '.'+default_ext: - raise ValueError('Given extension {} is not .{}'.format(ext,default_ext)) - writer.SetFileName('{}.{}'.format(name,default_ext)) - writer.SetCompressorTypeToZLib() + raise ValueError(f'Given extension "{ext}" does not match default ".{default_ext}"') + writer.SetFileName(str(Path(fname).with_suffix('.'+default_ext))) + if compress: + writer.SetCompressorTypeToZLib() + else: + writer.SetCompressorTypeToNone() writer.SetDataModeToBinary() - writer.SetInputData(self.geom) + writer.SetInputData(self.vtk_data) - writer.Write() + if parallel: + try: + mp_writer = mp.Process(target=self._write,args=(writer,)) + mp_writer.start() + except TypeError: + writer.Write() + else: + writer.Write() # Check https://blog.kitware.com/ghost-and-blanking-visibility-changes/ for missing data # Needs support for pd.DataFrame and/or table def add(self,data,label=None): - """Add data to either cells or points.""" - N_points = self.geom.GetNumberOfPoints() - N_cells = self.geom.GetNumberOfCells() + """ + Add data to either cells or points. - if isinstance(data,np.ndarray): - d = np_to_vtk(num_array=data.reshape(data.shape[0],-1),deep=True) + Parameters + ---------- + data : numpy.ndarray + Data to add. First dimension needs to match either + number of cells or number of points. + label : str + Data label. + + """ + N_points = self.vtk_data.GetNumberOfPoints() + N_cells = self.vtk_data.GetNumberOfCells() + + if isinstance(data,np.ndarray): if label is None: raise ValueError('No label defined for numpy.ndarray') + + N_data = data.shape[0] + d = np_to_vtk((data.astype(np.float32) if data.dtype in [np.float64, np.float128] + else data).reshape(N_data,-1),deep=True) # avoid large files d.SetName(label) - if data.shape[0] == N_cells: - self.geom.GetCellData().AddArray(d) - elif data.shape[0] == N_points: - self.geom.GetPointData().AddArray(d) + + if N_data == N_points: + self.vtk_data.GetPointData().AddArray(d) + elif N_data == N_cells: + self.vtk_data.GetCellData().AddArray(d) + else: + raise ValueError(f'Cell / point count ({N_cells} / {N_points}) differs from data ({N_data}).') elif isinstance(data,pd.DataFrame): raise NotImplementedError('pd.DataFrame') elif isinstance(data,Table): @@ -211,12 +260,79 @@ class VTK: raise TypeError + def get(self,label): + """ + Get either cell or point data. + + Cell data takes precedence over point data, i.e. this + function assumes that labels are unique among cell and + point data. + + Parameters + ---------- + label : str + Data label. + + """ + cell_data = self.vtk_data.GetCellData() + for a in range(cell_data.GetNumberOfArrays()): + if cell_data.GetArrayName(a) == label: + return vtk_to_np(cell_data.GetArray(a)) + + point_data = self.vtk_data.GetPointData() + for a in range(point_data.GetNumberOfArrays()): + if point_data.GetArrayName(a) == label: + return vtk_to_np(point_data.GetArray(a)) + + raise ValueError(f'Array "{label}" not found.') + + + def get_comments(self): + """Return the comments.""" + fielddata = self.vtk_data.GetFieldData() + for a in range(fielddata.GetNumberOfArrays()): + if fielddata.GetArrayName(a) == 'comments': + comments = fielddata.GetAbstractArray(a) + return [comments.GetValue(i) for i in range(comments.GetNumberOfValues())] + return [] + + + def set_comments(self,comments): + """ + Set comments. + + Parameters + ---------- + comments : str or list of str + Comments. + + """ + s = vtk.vtkStringArray() + s.SetName('comments') + for c in [comments] if isinstance(comments,str) else comments: + s.InsertNextValue(c) + self.vtk_data.GetFieldData().AddArray(s) + + + def add_comments(self,comments): + """ + Add comments. + + Parameters + ---------- + comments : str or list of str + Comments to add. + + """ + self.set_comments(self.get_comments() + ([comments] if isinstance(comments,str) else comments)) + + def __repr__(self): """ASCII representation of the VTK data.""" writer = vtk.vtkDataSetWriter() - writer.SetHeader('# DAMASK.VTK v{}'.format(version)) + writer.SetHeader(f'# {util.execution_stamp("VTK")}') writer.WriteToOutputStringOn() - writer.SetInputData(self.geom) + writer.SetInputData(self.vtk_data) writer.Write() return writer.GetOutputString() @@ -228,7 +344,7 @@ class VTK: See http://compilatrix.com/article/vtk-1 for further ideas. """ mapper = vtk.vtkDataSetMapper() - mapper.SetInputData(self.geom) + mapper.SetInputData(self.vtk_data) actor = vtk.vtkActor() actor.SetMapper(mapper) @@ -240,7 +356,7 @@ class VTK: ren.AddActor(actor) ren.SetBackground(0.2,0.2,0.2) - window.SetSize(Environment().screen_width,Environment().screen_height) + window.SetSize(environment.screen_size[0],environment.screen_size[1]) iren = vtk.vtkRenderWindowInteractor() iren.SetRenderWindow(window) diff --git a/python/damask/config/__init__.py b/python/damask/config/__init__.py deleted file mode 100644 index f5c57a879..000000000 --- a/python/damask/config/__init__.py +++ /dev/null @@ -1,3 +0,0 @@ -"""Aggregator for configuration file handling.""" - -from .material import Material # noqa diff --git a/python/damask/config/material.py b/python/damask/config/material.py deleted file mode 100644 index a30db1242..000000000 --- a/python/damask/config/material.py +++ /dev/null @@ -1,281 +0,0 @@ -import re -import os - - -class Section(): - def __init__(self,data = {'__order__':[]},part = ''): - """New material.config section.""" - classes = { - 'homogenization':Homogenization, - 'microstructure':Microstructure, - 'crystallite':Crystallite, - 'phase':Phase, - 'texture':Texture, - } - self.parameters = {} - for key in data: - self.parameters[key] = data[key] if isinstance(data[key], list) else [data[key]] - - if '__order__' not in self.parameters: - self.parameters['__order__'] = list(self.parameters.keys()) - if part.lower() in classes: - self.__class__ = classes[part.lower()] - self.__init__(data) - - def add_multiKey(self,key,data): - multiKey = '(%s)'%key - if multiKey not in self.parameters: self.parameters[multiKey] = [] - if multiKey not in self.parameters['__order__']: self.parameters['__order__'] += [multiKey] - self.parameters[multiKey] += [[item] for item in data] if isinstance(data, list) else [[data]] - - def data(self): - return self.parameters - - -class Homogenization(Section): - def __init__(self,data = {'__order__':[]}): - """New material.config section.""" - Section.__init__(self,data) - - -class Crystallite(Section): - def __init__(self,data = {'__order__':[]}): - """New material.config section.""" - Section.__init__(self,data) - - -class Phase(Section): - def __init__(self,data = {'__order__':[]}): - """New material.config section.""" - Section.__init__(self,data) - - -class Microstructure(Section): - def __init__(self,data = {'__order__':[]}): - """New material.config section.""" - Section.__init__(self,data) - - -class Texture(Section): - def __init__(self,data = {'__order__':[]}): - """New material.config section.""" - Section.__init__(self,data) - - def add_component(self,theType,properties): - - scatter = properties['scatter'] if 'scatter' in list(map(str.lower,list(properties.keys()))) else 0.0 - fraction = properties['fraction'] if 'fraction' in list(map(str.lower,list(properties.keys()))) else 1.0 - - try: - multiKey = theType.lower() - except AttributeError: - pass - - if multiKey == 'gauss': - self.add_multiKey(multiKey,'phi1 %g\tPhi %g\tphi2 %g\tscatter %g\tfraction %g'%( - properties['eulers'][0], - properties['eulers'][1], - properties['eulers'][2], - scatter, - fraction, - ) - ) - - -class Material(): - """Read, manipulate, and write material.config files.""" - - def __init__(self,verbose=True): - """Generates ordered list of parts.""" - self.parts = [ - 'homogenization', - 'crystallite', - 'phase', - 'texture', - 'microstructure', - ] - self.data = {\ - 'homogenization': {'__order__': []}, - 'microstructure': {'__order__': []}, - 'crystallite': {'__order__': []}, - 'phase': {'__order__': []}, - 'texture': {'__order__': []}, - } - self.verbose = verbose - - def __repr__(self): - """Returns current data structure in material.config format.""" - me = [] - for part in self.parts: - if self.verbose: print('processing <{}>'.format(part)) - me += ['', - '#'*100, - '<{}>'.format(part), - '#'*100, - ] - for section in self.data[part]['__order__']: - me += ['[{}] {}'.format(section,'#'+'-'*max(0,96-len(section)))] - for key in self.data[part][section]['__order__']: - if key.startswith('(') and key.endswith(')'): # multiple (key) - me += ['{}\t{}'.format(key,' '.join(values)) for values in self.data[part][section][key]] - else: # plain key - me += ['{}\t{}'.format(key,' '.join(map(str,self.data[part][section][key])))] - return '\n'.join(me) + '\n' - - def parse(self, part=None, sections=[], content=None): - - re_part = re.compile(r'^<(.+)>$') # pattern for part - re_sec = re.compile(r'^\[(.+)\]$') # pattern for section - - name_section = '' - active = False - - for line in content: - line = line.split('#')[0].strip() # kill comments and extra whitespace - line = line.split('/echo/')[0].strip() # remove '/echo/' tags - line = line.lower() # be case insensitive - - if line: # content survives... - match_part = re_part.match(line) - if match_part: # found <...> separator - active = (match_part.group(1) == part) # only active in - continue - if active: - match_sec = re_sec.match(line) - if match_sec: # found [section] - name_section = match_sec.group(1) # remember name ... - if '__order__' not in self.data[part]: self.data[part]['__order__'] = [] - self.data[part]['__order__'].append(name_section) # ... and position - self.data[part][name_section] = {'__order__':[]} - continue - - if sections == [] or name_section in sections: # possibly restrict to subset - items = line.split() - if items[0] not in self.data[part][name_section]: # first encounter of key? - self.data[part][name_section][items[0]] = [] # create item - self.data[part][name_section]['__order__'].append(items[0]) - if items[0].startswith('(') and items[0].endswith(')'): # multiple "(key)" - self.data[part][name_section][items[0]].append(items[1:]) - else: # plain key - self.data[part][name_section][items[0]] = items[1:] - - - - def read(self,filename=None): - """Read material.config file.""" - def recursiveRead(filename): - """Takes care of include statements like '{}'.""" - result = [] - re_include = re.compile(r'^{(.+)}$') - with open(filename) as f: lines = f.readlines() - for line in lines: - match = re_include.match(line.split()[0]) if line.strip() else False - result += [line] if not match else \ - recursiveRead(match.group(1) if match.group(1).startswith('/') else - os.path.normpath(os.path.join(os.path.dirname(filename),match.group(1)))) - return result - - c = recursiveRead(filename) - for p in self.parts: - self.parse(part=p, content=c) - - def write(self,filename='material.config', overwrite=False): - """Write to material.config.""" - i = 0 - outname = filename - while os.path.exists(outname) and not overwrite: - i += 1 - outname = '{}_{}'.format(filename,i) - - if self.verbose: print('Writing material data to {}'.format(outname)) - with open(outname,'w') as f: - f.write(str(self)) - return outname - - def add_section(self, part=None, section=None, initialData=None, merge=False): - """Add Update.""" - part = part.lower() - section = section.lower() - if part not in self.parts: raise Exception('invalid part {}'.format(part)) - - if not isinstance(initialData, dict): - initialData = initialData.data() - - if section not in self.data[part]: self.data[part]['__order__'] += [section] - if section in self.data[part] and merge: - for existing in self.data[part][section]['__order__']: # replace existing - if existing in initialData['__order__']: - if existing.startswith('(') and existing.endswith(')'): # multiple (key) - self.data[part][section][existing] += initialData[existing] # add new multiple entries to existing ones - else: # regular key - self.data[part][section][existing] = initialData[existing] # plain replice - for new in initialData['__order__']: # merge new content - if new not in self.data[part][section]['__order__']: - self.data[part][section][new] = initialData[new] - self.data[part][section]['__order__'] += [new] - else: - self.data[part][section] = initialData - - - - - def add_microstructure(self, section='', - components={}, # dict of phase,texture, and fraction lists - ): - """Experimental! Needs expansion to multi-constituent microstructures...""" - microstructure = Microstructure() - # make keys lower case (http://stackoverflow.com/questions/764235/dictionary-to-lowercase-in-python) - components=dict((k.lower(), v) for k,v in components.items()) - - for key in ['phase','texture','fraction','crystallite']: - if isinstance(components[key], list): - for i, x in enumerate(components[key]): - try: - components[key][i] = x.lower() - except AttributeError: - pass - else: - try: - components[key] = [components[key].lower()] - except AttributeError: - components[key] = [components[key]] - - for (phase,texture,fraction,crystallite) in zip(components['phase'],components['texture'], - components['fraction'],components['crystallite']): - microstructure.add_multiKey('constituent','phase %i\ttexture %i\tfraction %g\ncrystallite %i'%( - self.data['phase']['__order__'].index(phase)+1, - self.data['texture']['__order__'].index(texture)+1, - fraction, - self.data['crystallite']['__order__'].index(crystallite)+1)) - - self.add_section('microstructure',section,microstructure) - - - def change_value(self, part=None, - section=None, - key=None, - value=None): - if not isinstance(value,list): - if not isinstance(value,str): - value = '%s'%value - value = [value] - newlen = len(value) - oldval = self.data[part.lower()][section.lower()][key.lower()] - oldlen = len(oldval) - print('changing %s:%s:%s from %s to %s '%(part.lower(),section.lower(),key.lower(),oldval,value)) - self.data[part.lower()][section.lower()][key.lower()] = value - if newlen is not oldlen: - print('Length of value was changed from %i to %i!'%(oldlen,newlen)) - - - def add_value(self, part=None, - section=None, - key=None, - value=None): - if not isinstance(value,list): - if not isinstance(value,str): - value = '%s'%value - value = [value] - print('adding %s:%s:%s with value %s '%(part.lower(),section.lower(),key.lower(),value)) - self.data[part.lower()][section.lower()][key.lower()] = value - self.data[part.lower()][section.lower()]['__order__'] += [key.lower()] diff --git a/python/damask/grid_filters.py b/python/damask/grid_filters.py index eaee42924..6c3f24cff 100644 --- a/python/damask/grid_filters.py +++ b/python/damask/grid_filters.py @@ -233,17 +233,18 @@ def cell_coord0_gridSizeOrigin(coord0,ordered=True): origin[_np.where(grid==1)] = 0.0 if grid.prod() != len(coord0): - raise ValueError('Data count {} does not match grid {}.'.format(len(coord0),grid)) + raise ValueError('Data count {len(coord0)} does not match grid {grid}.') start = origin + delta*.5 end = origin - delta*.5 + size - if not (_np.allclose(coords[0],_np.linspace(start[0],end[0],grid[0])) and \ - _np.allclose(coords[1],_np.linspace(start[1],end[1],grid[1])) and \ - _np.allclose(coords[2],_np.linspace(start[2],end[2],grid[2]))): + atol = _np.max(size)*5e-2 + if not (_np.allclose(coords[0],_np.linspace(start[0],end[0],grid[0]),atol=atol) and \ + _np.allclose(coords[1],_np.linspace(start[1],end[1],grid[1]),atol=atol) and \ + _np.allclose(coords[2],_np.linspace(start[2],end[2],grid[2]),atol=atol)): raise ValueError('Regular grid spacing violated.') - if ordered and not _np.allclose(coord0.reshape(tuple(grid)+(3,),order='F'),cell_coord0(grid,size,origin)): + if ordered and not _np.allclose(coord0.reshape(tuple(grid)+(3,),order='F'),cell_coord0(grid,size,origin),atol=atol): raise ValueError('Input data is not ordered (x fast, z slow).') return (grid,size,origin) @@ -360,7 +361,7 @@ def node_2_cell(node_data): + _np.roll(node_data,1,(0,)) + _np.roll(node_data,1,(1,)) + _np.roll(node_data,1,(2,)) + _np.roll(node_data,1,(0,1)) + _np.roll(node_data,1,(1,2)) + _np.roll(node_data,1,(2,0)))*0.125 - return c[:-1,:-1,:-1] + return c[1:,1:,1:] def node_coord0_gridSizeOrigin(coord0,ordered=True): @@ -383,14 +384,15 @@ def node_coord0_gridSizeOrigin(coord0,ordered=True): origin = mincorner if (grid+1).prod() != len(coord0): - raise ValueError('Data count {} does not match grid {}.'.format(len(coord0),grid)) + raise ValueError('Data count {len(coord0)} does not match grid {grid}.') - if not (_np.allclose(coords[0],_np.linspace(mincorner[0],maxcorner[0],grid[0]+1)) and \ - _np.allclose(coords[1],_np.linspace(mincorner[1],maxcorner[1],grid[1]+1)) and \ - _np.allclose(coords[2],_np.linspace(mincorner[2],maxcorner[2],grid[2]+1))): + atol = _np.max(size)*5e-2 + if not (_np.allclose(coords[0],_np.linspace(mincorner[0],maxcorner[0],grid[0]+1),atol=atol) and \ + _np.allclose(coords[1],_np.linspace(mincorner[1],maxcorner[1],grid[1]+1),atol=atol) and \ + _np.allclose(coords[2],_np.linspace(mincorner[2],maxcorner[2],grid[2]+1),atol=atol)): raise ValueError('Regular grid spacing violated.') - if ordered and not _np.allclose(coord0.reshape(tuple(grid+1)+(3,),order='F'),node_coord0(grid,size,origin)): + if ordered and not _np.allclose(coord0.reshape(tuple(grid+1)+(3,),order='F'),node_coord0(grid,size,origin),atol=atol): raise ValueError('Input data is not ordered (x fast, z slow).') return (grid,size,origin) diff --git a/python/damask/seeds.py b/python/damask/seeds.py new file mode 100644 index 000000000..9aab953d0 --- /dev/null +++ b/python/damask/seeds.py @@ -0,0 +1,113 @@ +from scipy import spatial as _spatial +import numpy as _np + +from . import util +from . import grid_filters + + +def from_random(size,N_seeds,grid=None,seed=None): + """ + Random seeding in space. + + Parameters + ---------- + size : numpy.ndarray of shape (3) + Physical size of the seeding domain. + N_seeds : int + Number of seeds. + grid : numpy.ndarray of shape (3), optional. + If given, ensures that all seeds initiate one grain if using a + standard Voronoi tessellation. + seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None. + If None, then fresh, unpredictable entropy will be pulled from the OS. + + """ + rng = _np.random.default_rng(seed) + if grid is None: + coords = rng.random((N_seeds,3)) * size + else: + grid_coords = grid_filters.cell_coord0(grid,size).reshape(-1,3,order='F') + coords = grid_coords[rng.choice(_np.prod(grid),N_seeds, replace=False)] \ + + _np.broadcast_to(size/grid,(N_seeds,3))*(rng.random((N_seeds,3))*.5-.25) # wobble without leaving grid + + return coords + + +def from_Poisson_disc(size,N_seeds,N_candidates,distance,periodic=True,seed=None): + """ + Seeding in space according to a Poisson disc distribution. + + Parameters + ---------- + size : numpy.ndarray of shape (3) + Physical size of the seeding domain. + N_seeds : int + Number of seeds. + N_candidates : int + Number of candidates to consider for finding best candidate. + distance : float + Minimum acceptable distance to other seeds. + periodic : boolean, optional + Calculate minimum distance for periodically repeated grid. + seed : {None, int, array_like[ints], SeedSequence, BitGenerator, Generator}, optional + A seed to initialize the BitGenerator. Defaults to None. + If None, then fresh, unpredictable entropy will be pulled from the OS. + + """ + rng = _np.random.default_rng(seed) + coords = _np.empty((N_seeds,3)) + coords[0] = rng.random(3) * size + + i = 1 + progress = util._ProgressBar(N_seeds+1,'',50) + while i < N_seeds: + candidates = rng.random((N_candidates,3))*_np.broadcast_to(size,(N_candidates,3)) + tree = _spatial.cKDTree(coords[:i],boxsize=size) if periodic else \ + _spatial.cKDTree(coords[:i]) + distances, dev_null = tree.query(candidates) + best = distances.argmax() + if distances[best] > distance: # require minimum separation + coords[i] = candidates[best] # maximum separation to existing point cloud + i += 1 + progress.update(i) + + return coords + + +def from_geom(geom,selection=None,invert=False,average=False,periodic=True): + """ + Create seed from existing geometry description. + + Parameters + ---------- + geom : damask.Geom + Geometry, from which the material IDs are used as seeds. + selection : iterable of integers, optional + Material IDs to consider. + invert : boolean, false + Do not consider the material IDs given in selection. Defaults to False. + average : boolean, optional + Seed corresponds to center of gravity of material ID cloud. + periodic : boolean, optional + Center of gravity with periodic boundaries. + + """ + material = geom.material.reshape((-1,1),order='F') + mask = _np.full(geom.grid.prod(),True,dtype=bool) if selection is None else \ + _np.isin(material,selection,invert=invert).flatten() + coords = grid_filters.cell_coord0(geom.grid,geom.size).reshape(-1,3,order='F') + + if not average: + return (coords[mask],material[mask]) + else: + materials = _np.unique(material[mask]) + coords_ = _np.zeros((materials.size,3),dtype=float) + for i,mat in enumerate(materials): + pc = (2*_np.pi*coords[material[:,0]==mat,:]-geom.origin)/geom.size + coords_[i] = geom.origin + geom.size / 2 / _np.pi * (_np.pi + + _np.arctan2(-_np.average(_np.sin(pc),axis=0), + -_np.average(_np.cos(pc),axis=0))) \ + if periodic else \ + _np.average(coords[material[:,0]==mat,:],axis=0) + return (coords_,materials) diff --git a/python/damask/solver/_marc.py b/python/damask/solver/_marc.py index 22e9842f5..5ddcf8898 100644 --- a/python/damask/solver/_marc.py +++ b/python/damask/solver/_marc.py @@ -1,14 +1,15 @@ -import os import subprocess import shlex -import string +import re +import io +from pathlib import Path -from .._environment import Environment +from .. import environment class Marc: """Wrapper to run DAMASK with MSCMarc.""" - def __init__(self,version=Environment().options['MARC_VERSION']): + def __init__(self,version=environment.options['MSC_VERSION']): """ Create a Marc solver object. @@ -19,31 +20,32 @@ class Marc: """ self.solver = 'Marc' - try: - self.version = int(version) - except TypeError: - self.version = -1 + self.version = version + + @property + def library_path(self): + + path_MSC = environment.options['MSC_ROOT'] + path_lib = Path(f'{path_MSC}/mentat{self.version}/shlib/linux64') + + if not path_lib.is_dir(): + raise FileNotFoundError(f'library path "{path_lib}" not found') + + return path_lib -#-------------------------- - def libraryPath(self): + @property + def tools_path(self): - path_MSC = Environment().options['MSC_ROOT'] - path_lib = '{}/mentat{}/shlib/linux64'.format(path_MSC,self.version) + path_MSC = environment.options['MSC_ROOT'] + path_tools = Path(f'{path_MSC}/marc{self.version}/tools') - return path_lib if os.path.exists(path_lib) else '' + if not path_tools.is_dir(): + raise FileNotFoundError(f'tools path "{path_tools}" not found') + + return path_tools -#-------------------------- - def toolsPath(self): - - path_MSC = Environment().options['MSC_ROOT'] - path_tools = '{}/marc{}/tools'.format(path_MSC,self.version) - - return path_tools if os.path.exists(path_tools) else '' - - -#-------------------------- def submit_job(self, model, job = 'job1', @@ -52,39 +54,37 @@ class Marc: optimization = '', ): - - damaskEnv = Environment() - - user = os.path.join(damaskEnv.relPath('src'),'DAMASK_marc{}.{}'.format(self.version,'f90' if compile else 'marc')) - if not os.path.isfile(user): - raise FileNotFoundError("DAMASK4Marc ({}) '{}' not found".format(('source' if compile else 'binary'),user)) + usersub = environment.root_dir/'src/DAMASK_marc' + usersub = usersub.parent/(usersub.name + ('.f90' if compile else '.marc')) + if not usersub.is_file(): + raise FileNotFoundError(f'subroutine ({"source" if compile else "binary"}) "{usersub}" not found') # Define options [see Marc Installation and Operation Guide, pp 23] - script = 'run_damask_{}mp'.format(optimization) + script = f'run_damask_{optimization}mp' - cmd = os.path.join(self.toolsPath(),script) + \ - ' -jid ' + model + '_' + job + \ - ' -nprocd 1 -autorst 0 -ci n -cr n -dcoup 0 -b no -v no' - - if compile: cmd += ' -u ' + user + ' -save y' - else: cmd += ' -prog ' + os.path.splitext(user)[0] - - print('job submission {} compilation: {}'.format('with' if compile else 'without',user)) - if logfile: log = open(logfile, 'w') + cmd = str(self.tools_path/script) + \ + ' -jid ' + model+'_'+job + \ + ' -nprocd 1 -autorst 0 -ci n -cr n -dcoup 0 -b no -v no' + cmd += ' -u ' + str(usersub) + ' -save y' if compile else \ + ' -prog ' + str(usersub.with_suffix('')) print(cmd) - process = subprocess.Popen(shlex.split(cmd),stdout = log,stderr = subprocess.STDOUT) - log.close() - process.wait() -#-------------------------- - def exit_number_from_outFile(self,outFile=None): - exitnumber = -1 - with open(outFile,'r') as fid_out: - for line in fid_out: - if (string.find(line,'tress iteration') != -1): - print(line) - elif (string.find(line,'Exit number') != -1): - substr = line[string.find(line,'Exit number'):len(line)] - exitnumber = int(substr[12:16]) + if logfile is not None: + try: + f = open(logfile,'w+') + except TypeError: + f = logfile + else: + f = io.StringIO() - return exitnumber + proc = subprocess.Popen(shlex.split(cmd),stdout=f,stderr=subprocess.STDOUT) + proc.wait() + f.seek(0) + + try: + v = int(re.search('Exit number ([0-9]+)',''.join(f.readlines())).group(1)) + except (AttributeError,ValueError): + raise RuntimeError('Marc simulation failed (unknown return value)') + + if v != 3004: + raise RuntimeError(f'Marc simulation failed ({v})') diff --git a/python/damask/util.py b/python/damask/util.py index d45ea366e..914c3951c 100644 --- a/python/damask/util.py +++ b/python/damask/util.py @@ -9,6 +9,8 @@ from optparse import Option import numpy as np +from . import version + # limit visibility __all__=[ 'srepr', @@ -18,8 +20,10 @@ __all__=[ 'execute', 'show_progress', 'scale_to_coprime', + 'hybrid_IA', 'return_message', 'extendableOption', + 'execution_stamp' ] #################################################################################################### @@ -27,7 +31,7 @@ __all__=[ #################################################################################################### def srepr(arg,glue = '\n'): r""" - Join arguments as individual lines. + Join arguments with glue string. Parameters ---------- @@ -93,7 +97,7 @@ def strikeout(what): def execute(cmd, - streamIn = None, + stream_in = None, wd = './', env = None): """ @@ -103,7 +107,7 @@ def execute(cmd, ---------- cmd : str Command to be executed. - streanIn :, optional + stream_in : file object, optional Input (via pipe) for executed process. wd : str, optional Working directory of process. Defaults to ./ . @@ -112,21 +116,22 @@ def execute(cmd, """ initialPath = os.getcwd() - os.chdir(wd) myEnv = os.environ if env is None else env + os.chdir(wd) + print(f"executing '{cmd}' in '{wd}'") process = subprocess.Popen(shlex.split(cmd), stdout = subprocess.PIPE, stderr = subprocess.PIPE, stdin = subprocess.PIPE, env = myEnv) - out,error = [i for i in (process.communicate() if streamIn is None - else process.communicate(streamIn.read().encode('utf-8')))] - out = out.decode('utf-8').replace('\x08','') - error = error.decode('utf-8').replace('\x08','') + stdout, stderr = [i for i in (process.communicate() if stream_in is None + else process.communicate(stream_in.read().encode('utf-8')))] os.chdir(initialPath) + stdout = stdout.decode('utf-8').replace('\x08','') + stderr = stderr.decode('utf-8').replace('\x08','') if process.returncode != 0: - raise RuntimeError('{} failed with returncode {}'.format(cmd,process.returncode)) - return out,error + raise RuntimeError(f"'{cmd}' failed with returncode {process.returncode}") + return stdout, stderr def show_progress(iterable,N_iter=None,prefix='',bar_length=50): @@ -156,7 +161,7 @@ def show_progress(iterable,N_iter=None,prefix='',bar_length=50): def scale_to_coprime(v): """Scale vector to co-prime (relatively prime) integers.""" - MAX_DENOMINATOR = 1000 + MAX_DENOMINATOR = 1000000 def get_square_denominator(x): """Denominator of the square of a number.""" @@ -164,12 +169,38 @@ def scale_to_coprime(v): def lcm(a, b): """Least common multiple.""" + # Python 3.9 provides math.lcm, see https://stackoverflow.com/questions/51716916. return a * b // np.gcd(a, b) - denominators = [int(get_square_denominator(i)) for i in v] - s = reduce(lcm, denominators) ** 0.5 - m = (np.array(v)*s).astype(np.int) - return m//reduce(np.gcd,m) + m = (np.array(v) * reduce(lcm, map(lambda x: int(get_square_denominator(x)),v)) ** 0.5).astype(np.int) + m = m//reduce(np.gcd,m) + + with np.errstate(invalid='ignore'): + if not np.allclose(np.ma.masked_invalid(v/m),v[np.argmax(abs(v))]/m[np.argmax(abs(v))]): + raise ValueError(f'Invalid result {m} for input {v}. Insufficient precision?') + + return m + + +def execution_stamp(class_name,function_name=None): + """Timestamp the execution of a (function within a) class.""" + now = datetime.datetime.now().astimezone().strftime('%Y-%m-%d %H:%M:%S%z') + _function_name = '' if function_name is None else f'.{function_name}' + return f'damask.{class_name}{_function_name} v{version} ({now})' + + +def hybrid_IA(dist,N,seed=None): + N_opt_samples,N_inv_samples = (max(np.count_nonzero(dist),N),0) # random subsampling if too little samples requested + + scale_,scale,inc_factor = (0.0,float(N_opt_samples),1.0) + while (not np.isclose(scale, scale_)) and (N_inv_samples != N_opt_samples): + repeats = np.rint(scale*dist).astype(int) + N_inv_samples = np.sum(repeats) + scale_,scale,inc_factor = (scale,scale+inc_factor*0.5*(scale - scale_), inc_factor*2.0) \ + if N_inv_samples < N_opt_samples else \ + (scale_,0.5*(scale_ + scale), 1.0) + + return np.repeat(np.arange(len(dist)),repeats)[np.random.default_rng(seed).permutation(N_inv_samples)[:N]] #################################################################################################### @@ -223,21 +254,20 @@ class _ProgressBar: self.start_time = datetime.datetime.now() self.last_fraction = 0.0 - sys.stderr.write('{} {} 0% ETA n/a'.format(self.prefix, '░'*self.bar_length)) + sys.stderr.write(f"{self.prefix} {'░'*self.bar_length} 0% ETA n/a") sys.stderr.flush() def update(self,iteration): fraction = (iteration+1) / self.total + filled_length = int(self.bar_length * fraction) - if int(self.bar_length * fraction) > int(self.bar_length * self.last_fraction): + if filled_length > int(self.bar_length * self.last_fraction): + bar = '█' * filled_length + '░' * (self.bar_length - filled_length) delta_time = datetime.datetime.now() - self.start_time remaining_time = (self.total - (iteration+1)) * delta_time / (iteration+1) remaining_time -= datetime.timedelta(microseconds=remaining_time.microseconds) # remove μs - - filled_length = int(self.bar_length * fraction) - bar = '█' * filled_length + '░' * (self.bar_length - filled_length) - sys.stderr.write('\r{} {} {:>4.0%} ETA {}'.format(self.prefix, bar, fraction, remaining_time)) + sys.stderr.write(f'\r{self.prefix} {bar} {fraction:>4.0%} ETA {remaining_time}') sys.stderr.flush() self.last_fraction = fraction @@ -249,7 +279,7 @@ class _ProgressBar: class bcolors: """ - ASCII Colors. + ASCII colors. https://svn.blender.org/svnroot/bf-blender/trunk/blender/build_files/scons/tools/bcolors.py https://stackoverflow.com/questions/287871 diff --git a/python/setup.py b/python/setup.py index a1b5ea166..19fbdcd13 100644 --- a/python/setup.py +++ b/python/setup.py @@ -1,8 +1,8 @@ import setuptools -import os +from pathlib import Path import re -with open(os.path.join(os.path.dirname(__file__),'damask/VERSION')) as f: +with open(Path(__file__).parent/'damask/VERSION') as f: version = re.sub(r'(-([^-]*)).*$',r'.\2',re.sub(r'^v(\d+\.\d+(\.\d+)?)',r'\1',f.readline().strip())) setuptools.setup( @@ -16,10 +16,12 @@ setuptools.setup( packages=setuptools.find_packages(), include_package_data=True, install_requires = [ - "pandas", + "pandas", # requires numpy "scipy", - "h5py", + "h5py", # requires numpy "vtk", + "matplotlib", # requires numpy, pillow + "pyaml" ], classifiers = [ "Intended Audience :: Science/Research", diff --git a/python/tests/conftest.py b/python/tests/conftest.py index 411c07a8c..9c58eedd9 100644 --- a/python/tests/conftest.py +++ b/python/tests/conftest.py @@ -1,7 +1,40 @@ -import os +from pathlib import Path +import datetime +import numpy as np import pytest +import damask + + +patched_version = '99.99.99-9999-pytest' +@pytest.fixture +def patch_damask_version(monkeypatch): + """Set damask.version for reproducible tests results.""" + monkeypatch.setattr(damask, 'version', patched_version) + + +patched_date = datetime.datetime(2019, 11, 2, 11, 58, 0) +@pytest.fixture +def patch_datetime_now(monkeypatch): + """Set datetime.datetime.now for reproducible tests results.""" + class mydatetime: + @classmethod + def now(cls): + return patched_date + + monkeypatch.setattr(datetime, 'datetime', mydatetime) + +@pytest.fixture +def execution_stamp(monkeypatch): + """Set damask.util.execution_stamp for reproducible tests results.""" + def execution_stamp(class_name,function_name=None): + _function_name = '' if function_name is None else f'.{function_name}' + return f'damask.{class_name}{_function_name} v{patched_version} ({patched_date})' + + monkeypatch.setattr(damask.util, 'execution_stamp', execution_stamp) + + def pytest_addoption(parser): parser.addoption("--update", action="store_true", @@ -15,4 +48,93 @@ def update(request): @pytest.fixture def reference_dir_base(): """Directory containing reference results.""" - return os.path.join(os.path.dirname(__file__),'reference') + return Path(__file__).parent/'reference' + +@pytest.fixture +def set_of_quaternions(): + """A set of n random rotations.""" + def random_quaternions(N): + r = np.random.rand(N,3) + + A = np.sqrt(r[:,2]) + B = np.sqrt(1.0-r[:,2]) + qu = np.column_stack([np.cos(2.0*np.pi*r[:,0])*A, + np.sin(2.0*np.pi*r[:,1])*B, + np.cos(2.0*np.pi*r[:,1])*B, + np.sin(2.0*np.pi*r[:,0])*A]) + qu[:,0]*=np.sign(qu[:,0]) + + return qu + + n = 1100 + scatter=1.e-2 + specials = np.array([ + [1.0, 0.0, 0.0, 0.0], + #---------------------- + [0.0, 1.0, 0.0, 0.0], + [0.0, 0.0, 1.0, 0.0], + [0.0, 0.0, 0.0, 1.0], + [0.0,-1.0, 0.0, 0.0], + [0.0, 0.0,-1.0, 0.0], + [0.0, 0.0, 0.0,-1.0], + #---------------------- + [1.0, 1.0, 0.0, 0.0], + [1.0, 0.0, 1.0, 0.0], + [1.0, 0.0, 0.0, 1.0], + [0.0, 1.0, 1.0, 0.0], + [0.0, 1.0, 0.0, 1.0], + [0.0, 0.0, 1.0, 1.0], + #---------------------- + [1.0,-1.0, 0.0, 0.0], + [1.0, 0.0,-1.0, 0.0], + [1.0, 0.0, 0.0,-1.0], + [0.0, 1.0,-1.0, 0.0], + [0.0, 1.0, 0.0,-1.0], + [0.0, 0.0, 1.0,-1.0], + #---------------------- + [0.0, 1.0,-1.0, 0.0], + [0.0, 1.0, 0.0,-1.0], + [0.0, 0.0, 1.0,-1.0], + #---------------------- + [0.0,-1.0,-1.0, 0.0], + [0.0,-1.0, 0.0,-1.0], + [0.0, 0.0,-1.0,-1.0], + #---------------------- + [1.0, 1.0, 1.0, 0.0], + [1.0, 1.0, 0.0, 1.0], + [1.0, 0.0, 1.0, 1.0], + [1.0,-1.0, 1.0, 0.0], + [1.0,-1.0, 0.0, 1.0], + [1.0, 0.0,-1.0, 1.0], + [1.0, 1.0,-1.0, 0.0], + [1.0, 1.0, 0.0,-1.0], + [1.0, 0.0, 1.0,-1.0], + [1.0,-1.0,-1.0, 0.0], + [1.0,-1.0, 0.0,-1.0], + [1.0, 0.0,-1.0,-1.0], + #---------------------- + [0.0, 1.0, 1.0, 1.0], + [0.0, 1.0,-1.0, 1.0], + [0.0, 1.0, 1.0,-1.0], + [0.0,-1.0, 1.0, 1.0], + [0.0,-1.0,-1.0, 1.0], + [0.0,-1.0, 1.0,-1.0], + [0.0,-1.0,-1.0,-1.0], + #---------------------- + [1.0, 1.0, 1.0, 1.0], + [1.0,-1.0, 1.0, 1.0], + [1.0, 1.0,-1.0, 1.0], + [1.0, 1.0, 1.0,-1.0], + [1.0,-1.0,-1.0, 1.0], + [1.0,-1.0, 1.0,-1.0], + [1.0, 1.0,-1.0,-1.0], + [1.0,-1.0,-1.0,-1.0], + ]) + specials /= np.linalg.norm(specials,axis=1).reshape(-1,1) + specials_scatter = specials + np.broadcast_to((np.random.rand(4)*2.-1.)*scatter,specials.shape) + specials_scatter /= np.linalg.norm(specials_scatter,axis=1).reshape(-1,1) + specials_scatter[specials_scatter[:,0]<0]*=-1 + + return np.array([s for s in specials] + \ + [s for s in specials_scatter] + \ + [s for s in random_quaternions(n-2*len(specials))]) diff --git a/python/tests/reference/Colormap/binary.json b/python/tests/reference/Colormap/binary.json new file mode 100644 index 000000000..b8b85f80f --- /dev/null +++ b/python/tests/reference/Colormap/binary.json @@ -0,0 +1,1290 @@ +[ + { + "Creator": "damask.Colormap v99.99.99-9999-pytest (2019-11-02 11:58:00)", + "ColorSpace": "RGB", + "Name": "binary", + "DefaultMap": true, + "RGBPoints": [ + 0, + 1.0, + 1.0, + 1.0, + 1.0, + 1, + 0.996078, + 0.996078, + 0.996078, + 1.0, + 2, + 0.992157, + 0.992157, + 0.992157, + 1.0, + 3, + 0.988235, + 0.988235, + 0.988235, + 1.0, + 4, + 0.984314, + 0.984314, + 0.984314, + 1.0, + 5, + 0.980392, + 0.980392, + 0.980392, + 1.0, + 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+13.00000000000001,13.00000000000001,13.00000000000001, +12.000000000000014,12.000000000000014,12.000000000000014, +11.000000000000018,11.000000000000018,11.000000000000018, +9.999999999999993,9.999999999999993,9.999999999999993, +8.999999999999996,8.999999999999996,8.999999999999996, +8.0,8.0,8.0, +7.0000000000000036,7.0000000000000036,7.0000000000000036, +6.000000000000007,6.000000000000007,6.000000000000007, +5.000000000000011,5.000000000000011,5.000000000000011, +4.000000000000014,4.000000000000014,4.000000000000014, +2.9999999999999893,2.9999999999999893,2.9999999999999893, +1.999999999999993,1.999999999999993,1.999999999999993, +0.9999999999999964,0.9999999999999964,0.9999999999999964, +0.0,0.0,0.0, +} diff --git a/python/tests/reference/Colormap/binary.txt b/python/tests/reference/Colormap/binary.txt new file mode 100644 index 000000000..ca1d2401f --- /dev/null +++ b/python/tests/reference/Colormap/binary.txt @@ -0,0 +1,258 @@ +# Creator: damask.Colormap v99.99.99-9999-pytest 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0.0039215686274509665 1.0 +0.0 0.0 0.0 1.0 diff --git a/python/tests/reference/Colormap/shade_None.png b/python/tests/reference/Colormap/shade_None.png new file mode 100644 index 000000000..1fe460cb0 Binary files /dev/null and b/python/tests/reference/Colormap/shade_None.png differ diff --git a/python/tests/reference/Colormap/shade_[2, 10].png b/python/tests/reference/Colormap/shade_[2, 10].png new file mode 100644 index 000000000..3fb795d83 Binary files /dev/null and b/python/tests/reference/Colormap/shade_[2, 10].png differ diff --git a/python/tests/reference/ConfigMaterial/material.yaml b/python/tests/reference/ConfigMaterial/material.yaml new file mode 100644 index 000000000..97c6504bb --- /dev/null +++ b/python/tests/reference/ConfigMaterial/material.yaml @@ -0,0 +1,44 @@ +homogenization: + SX: + N_constituents: 2 + mech: {type: none} + Taylor: + N_constituents: 2 + mech: {type: isostrain} + +material: + - constituents: + - fraction: 1.0 + O: [1.0, 0.0, 0.0, 0.0] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + O: [0.7936696712125002, -0.28765777461664166, -0.3436487135089419, 0.4113964260949434] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 1.0 + O: [0.3986143167493579, -0.7014883552495493, 0.2154871765709027, 0.5500781677772945] + phase: Aluminum + homogenization: SX + - constituents: + - fraction: 0.5 + O: [0.28645844315788244, -0.022571491243423537, -0.467933059311115, -0.8357456192708106] + phase: Aluminum + - fraction: 0.5 + O: [0.3986143167493579, -0.7014883552495493, 0.2154871765709027, 0.5500781677772945] + phase: Steel + homogenization: Taylor + +phase: + Aluminum: + elasticity: {C_11: 106.75e9, C_12: 60.41e9, C_44: 28.34e9, type: hooke} + generic: + output: [F, P, Fe, Fp, Lp] + lattice: fcc + Steel: + elasticity: {C_11: 233.3e9, C_12: 135.5e9, C_44: 118.0e9, type: hooke} + generic: + output: [F, P, Fe, Fp, Lp] + lattice: bcc diff --git a/python/tests/reference/Geom/clean_1_1+2+3_False.vtr b/python/tests/reference/Geom/clean_1_1+2+3_False.vtr new file mode 100644 index 000000000..d8a3d4169 --- /dev/null +++ b/python/tests/reference/Geom/clean_1_1+2+3_False.vtr @@ -0,0 +1,25 @@ + + + + + + + + + AQAAAACAAAAABQAAYwAAAA==eF7t0scBgkAAAEHBgBEwgDmBsf8GfTANCN/bzzSwUa8pCrYyZp8DDjliwjEnnHLGORdMmTHnkiuuuWHBklvuuOeBR5545oVX3nhnxZoPPvnimx9+GQc7GT5sqvjvhz+ZtAcJ + + + + + AQAAAACAAABIAAAAOgAAAA==eF5jYICA3rdbF3w/tsEOQh+wC3kiUFisdRLKv2D3IeNxx9YfV6DiN+22x9tFGsbchco/sAMA/fQl6g== + + + AQAAAACAAAAwAAAAKwAAAA==eF5jYICAvrdbF3w/tsEOQh+wC30iUFisdRLKv2D3MeNxx9YfV+wAD5wZgw== + + + AQAAAACAAAAoAAAAIwAAAA==eF5jYICA3rdbF3w/tsEOQh+wC3kiUFisdRLKv2AHAFVBE/w= + + + + + diff --git a/python/tests/reference/Geom/clean_1_1+2+3_True.vtr b/python/tests/reference/Geom/clean_1_1+2+3_True.vtr new file mode 100644 index 000000000..d8a3d4169 --- /dev/null +++ b/python/tests/reference/Geom/clean_1_1+2+3_True.vtr @@ -0,0 +1,25 @@ + + + + + + + + + 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-1,25 +0,0 @@ -4 header -grid a 8 b 5 c 4 -size x 8e-06 y 5e-06 z 4e-06 -origin x 0.0 y 0.0 z 0.0 -homogenization 1 - 1 1 2 22 2 2 1 21 - 1 1 6 26 2 2 5 25 - 1 1 10 30 2 2 9 29 - 1 1 14 34 2 2 13 33 - 1 1 18 38 2 2 17 37 - 1 1 3 23 2 2 2 22 - 1 1 7 27 2 2 6 26 - 1 1 11 31 2 2 10 30 - 1 1 15 35 2 2 14 34 - 1 1 19 39 2 2 18 38 - 1 1 4 24 2 2 3 23 - 1 1 8 28 2 2 7 27 - 1 1 12 32 2 2 11 31 - 1 1 16 36 2 2 15 35 - 1 1 20 40 2 2 19 39 - 1 1 5 25 2 2 4 24 - 1 1 9 29 2 2 8 28 - 1 1 13 33 2 2 12 32 - 1 1 17 37 2 2 16 36 - 1 1 21 41 2 2 20 40 diff --git a/python/tests/reference/Geom/clean_stencil=2.geom b/python/tests/reference/Geom/clean_stencil=2.geom deleted file mode 100644 index f074fea56..000000000 --- a/python/tests/reference/Geom/clean_stencil=2.geom +++ /dev/null @@ -1,25 +0,0 @@ -4 header -grid a 8 b 5 c 4 -size x 8e-06 y 5e-06 z 4e-06 -origin x 0.0 y 0.0 z 0.0 -homogenization 1 - 1 1 1 2 2 2 1 1 - 1 1 1 2 2 2 2 1 - 1 1 1 6 2 2 2 5 - 1 1 1 10 2 2 2 9 - 1 1 1 14 2 2 2 13 - 1 1 1 2 2 2 2 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-[Grain1] -(gauss) phi1 358.98 Phi 65.62 phi2 24.48 -[Grain2] -(gauss) phi1 121.05 Phi 176.11 phi2 295.73 -[Grain3] -(gauss) phi1 43.79 Phi 113.76 phi2 345.90 -[Grain4] -(gauss) phi1 265.15 Phi 62.52 phi2 299.71 -[Grain5] -(gauss) phi1 221.23 Phi 26.54 phi2 207.05 -[Grain6] -(gauss) phi1 249.81 Phi 61.47 phi2 152.14 -[Grain7] -(gauss) phi1 332.45 Phi 99.16 phi2 345.34 -[Grain8] -(gauss) phi1 312.27 Phi 118.27 phi2 181.59 -[Grain9] -(gauss) phi1 303.10 Phi 48.21 phi2 358.03 -[Grain10] -(gauss) phi1 338.26 Phi 48.11 phi2 176.78 -[Grain11] -(gauss) phi1 115.17 Phi 56.54 phi2 223.84 -[Grain12] -(gauss) phi1 281.04 Phi 97.48 phi2 27.94 - -[Grain1] -crystallite 1 -(constituent) phase 1 texture 1 fraction 1.0 -[Grain2] -crystallite 1 -(constituent) phase 1 texture 2 fraction 1.0 -[Grain3] -crystallite 1 -(constituent) phase 1 texture 3 fraction 1.0 -[Grain4] -crystallite 1 -(constituent) phase 1 texture 4 fraction 1.0 -[Grain5] -crystallite 1 -(constituent) phase 1 texture 5 fraction 1.0 -[Grain6] -crystallite 1 -(constituent) phase 1 texture 6 fraction 1.0 -[Grain7] -crystallite 1 -(constituent) phase 1 texture 7 fraction 1.0 -[Grain8] -crystallite 1 -(constituent) phase 1 texture 8 fraction 1.0 -[Grain9] -crystallite 1 -(constituent) phase 1 texture 9 fraction 1.0 -[Grain10] -crystallite 1 -(constituent) phase 1 texture 10 fraction 1.0 -[Grain11] -crystallite 1 -(constituent) phase 1 texture 11 fraction 1.0 -[Grain12] -crystallite 1 -(constituent) phase 1 texture 12 fraction 1.0 - -grid a 6 b 7 c 8 -size x 0.75 y 0.875 z 1.0 -origin x 0.0 y 0.0 z 0.0 -homogenization 1 - 9 3 3 10 9 9 - 9 1 1 1 9 9 - 9 11 1 1 7 9 - 7 11 11 7 7 7 - 7 11 11 7 7 7 -12 3 3 10 7 12 -12 3 3 10 10 12 -12 3 3 1 9 9 - 9 1 1 1 9 9 - 9 1 1 1 7 7 - 7 1 1 7 7 7 -12 12 3 7 7 7 -12 3 3 3 12 12 -12 3 3 3 12 12 -12 3 3 1 1 12 - 9 1 1 1 1 9 - 6 1 1 1 8 8 - 7 6 8 8 8 8 -12 12 8 8 8 12 -12 3 3 3 12 12 -12 3 3 3 12 12 - 5 6 6 6 1 12 - 6 6 6 6 8 8 - 6 6 6 8 8 8 - 8 6 8 8 8 8 -12 5 8 8 8 8 -12 5 5 8 8 12 - 5 5 5 3 12 12 - 5 5 6 6 6 5 - 6 6 6 6 6 6 - 6 6 6 6 8 8 - 4 4 6 8 8 8 - 4 4 2 2 2 8 - 5 5 5 2 2 2 - 5 5 5 5 2 5 - 5 5 5 10 10 5 - 6 6 6 6 10 4 - 4 4 11 11 2 4 - 4 4 11 2 2 4 - 4 4 2 2 2 2 - 5 5 5 2 2 2 - 5 5 5 10 10 5 - 5 5 10 10 10 9 - 4 11 11 11 10 9 - 4 4 11 11 11 4 - 4 4 11 11 2 4 - 4 4 2 2 2 2 - 5 5 2 2 2 2 - 5 5 10 10 10 10 - 9 10 10 10 10 9 - 9 11 11 10 9 9 - 4 11 11 11 9 9 - 4 11 11 11 7 7 - 4 4 11 2 7 7 -12 10 10 10 10 7 - 9 10 10 10 10 9 diff --git a/python/tests/reference/Result/12grains6x7x8.vtr b/python/tests/reference/Result/12grains6x7x8.vtr new file mode 100644 index 000000000..02ba9d4e6 --- /dev/null +++ b/python/tests/reference/Result/12grains6x7x8.vtr @@ -0,0 +1,30 @@ + + + + + + AQAAAACAAAARAAAAGQAAAA==eF7LyM/NT0/Ny6xKLMnMz1MwZAAAPsIGPQ== + + + + + + + + AQAAAACAAACACgAA2wAAAA==eF6tlssOgkAQBNcHiPj//2uM25eOZc8oc6kYagzdISzbeM/ZeJ/cgDTk7x/c16zm6fduXAOr/mOS8rqXfDH5mqP6pKHcVY9yJN/ziv5/R/k+8lI/GnnLV2uMm1G5tefXnZ6j6v3bD/nXyQWokU8e5a96tJc8z9H1aY88MfWZek3Xf6XnuBhTr+6fgPKpH9oj3/eS5+/bap/yPafo54buJ/mek3zqJeXu+tRP8vycp15E8tNe6rPaf7fPrk/9eO6q598/1GO1/67v53V6nul8T3n9Oy758p47Sgdl + + + + + AQAAAACAAAA4AAAAHAAAAA==eF5jYEAGB+wh9AUofQNKP4DST6D0C3sAisIGjw== + + + AQAAAACAAABAAAAAHwAAAA==eF5jYEAGB+wh9AUofQNKP4DST6D0Cyj9xh4AwVEHug== + + + AQAAAACAAABIAAAAIgAAAA==eF5jYEAGB+wh9AUofQNKP4DST6D0Cyj9Bkp/sAcAAU8I6Q== + + + + + diff --git a/python/tests/reference/Result/6grains6x7x8_single_phase.vtr b/python/tests/reference/Result/6grains6x7x8_single_phase.vtr new file mode 100644 index 000000000..9a7b7dd7d --- /dev/null +++ b/python/tests/reference/Result/6grains6x7x8_single_phase.vtr @@ -0,0 +1,30 @@ + + + + + + AQAAAACAAAARAAAAGQAAAA==eF7LyM/NT0/Ny6xKLMnMz1MwZAAAPsIGPQ== + + + + + + + + AQAAAACAAACACgAAwAAAAA==eF69lcsOwjAQA6GU//9lDsUSGjHyBgq+WGpm09jqY7sc2uA3uR43Gb+/YV/FfXd405S/P93ykmt8vPHRWX3+SpbDZHnj3O8snpqeN+L9TFd4lDmu05ljyn3bj/F5P2yfyNZbnilnc1MuOVZ5mzMu3vpsvbb1T5057Ltk/ZBvfVo/qzznGsdzTvvknO3D8zS+9fjvPlsu4/ifn87bf7DNNf7sPlf59rxYbuPircdp/6s81Z5navoeRav9PACxsANv + + + + + AQAAAACAAAA4AAAAHAAAAA==eF5jYEAGB+wh9AUofQNKP4DST6D0C3sAisIGjw== + + + AQAAAACAAABAAAAAHwAAAA==eF5jYEAGB+wh9AUofQNKP4DST6D0Cyj9xh4AwVEHug== + + + AQAAAACAAABIAAAAIgAAAA==eF5jYEAGB+wh9AUofQNKP4DST6D0Cyj9Bkp/sAcAAU8I6Q== + + + + + diff --git a/python/tests/reference/Result/6grains6x7x8_single_phase_tensionY.hdf5 b/python/tests/reference/Result/6grains6x7x8_single_phase_tensionY.hdf5 new file mode 100644 index 000000000..7812f82e8 Binary files /dev/null and b/python/tests/reference/Result/6grains6x7x8_single_phase_tensionY.hdf5 differ diff --git a/python/tests/reference/Result/material.config b/python/tests/reference/Result/material.config index 0b0808a12..4820b1eed 100644 --- a/python/tests/reference/Result/material.config +++ b/python/tests/reference/Result/material.config @@ -124,6 +124,3 @@ a_slip 2.25 h0_slipslip 75e6 interaction_slipslip 1 1 1.4 1.4 1.4 1.4 atol_resistance 1 - - -[dummy] diff --git a/python/tests/reference/Rotation/ODF_experimental.odf b/python/tests/reference/Rotation/ODF_experimental.odf new file mode 100644 index 000000000..5a56fe04f --- /dev/null +++ b/python/tests/reference/Rotation/ODF_experimental.odf @@ -0,0 +1,1524 @@ +MPIE Aluminum + 0.MODEL MINI 2 4 1 DATE 25:05:20 TIME 13:36:30 LACT= 22 +EXPERIMENTAL ODF 99 5 1PHI2 LEVELS: 2. 4. 7. 12. 20. 30. 40. 50. 60. 70. +MPIE Aluminum N........ EVEN(EXP) C-COEFFICIENTS C1=1.0000 LMAX= 22 + + 0.0 DEGREE - PHI2-SECTION ( FMAX ABS = 3.88 FMAX-I = 3.88 ) PHI2 = 0. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 0.0 + 2.5 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.5 + 5.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 5.0 + 7.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 7.5 + 10.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 10.0 + 12.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 12.5 + 15.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 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0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 20.0 + 22.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 22.5 + 25.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 25.0 + 27.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 27.5 + 30.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 30.0 + 32.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 32.5 + 35.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 35.0 + 37.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 37.5 + 40.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 40.0 + 42.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 42.5 + 45.0 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 45.0 + 47.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 47.5 + 50.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 50.0 + 52.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 52.5 + 55.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 55.0 + 57.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 57.5 + 60.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 60.0 + 62.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 62.5 + 65.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 65.0 + 67.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 67.5 + 70.0 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 70.0 + 72.5 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 72.5 + 75.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 75.0 + 77.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 77.5 + 80.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 80.0 + 82.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 82.5 + 85.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 85.0 + 87.5 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 87.5 + 90.0 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 90.0 + + 2.5 DEGREE - PHI2-SECTION ( FMAX ABS = 4.09 FMAX-I = 4.09 ) PHI2 = 3. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 0.0 + 2.5 2.24 2.07 1.82 1.57 1.33 1.10 0.88 0.68 0.51 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.87 1.08 1.30 1.54 1.78 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.31 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.11 1.33 1.58 1.83 2.07 2.25 2.31 2.24 2.07 1.82 1.57 1.33 1.10 0.88 0.68 0.51 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.87 1.08 1.30 1.54 1.78 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.31 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.11 1.33 1.58 1.83 2.07 2.25 2.31 2.24 2.5 + 5.0 2.39 2.17 1.88 1.57 1.28 1.03 0.80 0.59 0.41 0.29 0.25 0.26 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.48 0.44 0.41 0.45 0.55 0.73 0.95 1.19 1.45 1.70 1.93 2.08 2.15 2.10 1.95 1.73 1.48 1.22 0.98 0.75 0.58 0.47 0.43 0.45 0.48 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.31 0.44 0.62 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0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.00 0.00 0.00 0.00 0.48 1.32 2.09 2.55 2.59 2.31 1.93 1.66 1.58 1.61 1.63 1.50 1.23 0.95 0.81 0.90 1.19 1.52 1.69 1.61 35.0 + 37.5 1.36 1.06 0.69 0.47 0.50 0.75 1.08 1.32 1.39 1.37 1.40 1.61 1.98 2.34 2.44 2.12 1.39 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.23 0.30 0.14 0.00 0.00 0.00 0.68 1.64 2.55 3.12 3.20 2.88 2.38 1.96 1.72 1.63 1.54 1.34 1.00 0.67 0.49 0.57 0.88 1.23 1.43 1.36 1.06 0.69 0.47 0.50 0.75 1.08 1.32 1.39 1.37 1.40 1.61 1.98 2.34 2.44 2.12 1.39 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.23 0.30 0.14 0.00 0.00 0.00 0.68 1.64 2.55 3.12 3.20 2.88 2.38 1.96 1.72 1.63 1.54 1.34 1.00 0.67 0.49 0.57 0.88 1.23 1.43 1.36 37.5 + 40.0 1.26 0.93 0.53 0.28 0.30 0.57 0.93 1.22 1.37 1.44 1.60 1.95 2.45 2.90 3.02 2.66 1.85 0.85 0.01 0.00 0.00 0.00 0.24 0.36 0.22 0.00 0.00 0.00 0.00 0.12 0.36 0.45 0.36 0.16 0.00 0.00 0.00 0.13 0.40 0.61 0.67 0.54 0.29 0.06 0.00 0.13 0.43 0.69 0.75 0.55 0.24 0.07 0.29 0.99 2.00 3.00 3.63 3.73 3.36 2.76 2.19 1.82 1.62 1.45 1.18 0.80 0.44 0.26 0.36 0.71 1.10 1.33 1.26 0.93 0.53 0.28 0.30 0.57 0.93 1.22 1.37 1.44 1.60 1.95 2.45 2.90 3.02 2.66 1.85 0.85 0.01 0.00 0.00 0.00 0.24 0.36 0.22 0.00 0.00 0.00 0.00 0.12 0.36 0.45 0.36 0.16 0.00 0.00 0.00 0.13 0.40 0.61 0.67 0.54 0.29 0.06 0.00 0.13 0.43 0.69 0.75 0.55 0.24 0.07 0.29 0.99 2.00 3.00 3.63 3.73 3.36 2.76 2.19 1.82 1.62 1.45 1.18 0.80 0.44 0.26 0.36 0.71 1.10 1.33 1.26 40.0 + 42.5 1.27 0.92 0.48 0.19 0.18 0.45 0.83 1.16 1.37 1.53 1.80 2.27 2.89 3.43 3.60 3.24 2.39 1.34 0.47 0.03 0.07 0.42 0.77 0.90 0.76 0.48 0.26 0.23 0.42 0.71 0.94 1.00 0.87 0.62 0.37 0.25 0.31 0.53 0.82 1.07 1.16 1.04 0.78 0.53 0.43 0.56 0.85 1.10 1.15 0.92 0.56 0.34 0.52 1.21 2.24 3.26 3.93 4.03 3.62 2.95 2.30 1.85 1.58 1.36 1.06 0.67 0.31 0.14 0.27 0.66 1.09 1.34 1.27 0.92 0.48 0.19 0.18 0.45 0.83 1.16 1.37 1.53 1.80 2.27 2.89 3.43 3.60 3.24 2.39 1.34 0.47 0.03 0.07 0.42 0.77 0.90 0.76 0.48 0.26 0.23 0.42 0.71 0.94 1.00 0.87 0.62 0.37 0.25 0.31 0.53 0.82 1.07 1.16 1.04 0.78 0.53 0.43 0.56 0.85 1.10 1.15 0.92 0.56 0.34 0.52 1.21 2.24 3.26 3.93 4.03 3.62 2.95 2.30 1.85 1.58 1.36 1.06 0.67 0.31 0.14 0.27 0.66 1.09 1.34 1.27 42.5 + 45.0 1.29 0.93 0.48 0.17 0.15 0.41 0.80 1.15 1.40 1.62 1.96 2.51 3.20 3.79 4.00 3.65 2.79 1.72 0.81 0.36 0.40 0.75 1.10 1.23 1.09 0.81 0.58 0.55 0.75 1.03 1.25 1.29 1.13 0.85 0.57 0.43 0.47 0.68 0.97 1.22 1.30 1.18 0.91 0.65 0.54 0.66 0.93 1.18 1.22 0.98 0.59 0.34 0.49 1.15 2.17 3.20 3.87 3.98 3.58 2.91 2.26 1.80 1.53 1.31 1.02 0.63 0.28 0.12 0.26 0.66 1.10 1.36 1.29 0.93 0.48 0.17 0.15 0.41 0.80 1.15 1.40 1.62 1.96 2.51 3.20 3.79 4.00 3.65 2.79 1.72 0.81 0.36 0.40 0.75 1.10 1.23 1.09 0.81 0.58 0.55 0.75 1.03 1.25 1.29 1.13 0.85 0.57 0.43 0.47 0.68 0.97 1.22 1.30 1.18 0.91 0.65 0.54 0.66 0.93 1.18 1.22 0.98 0.59 0.34 0.49 1.15 2.17 3.20 3.87 3.98 3.58 2.91 2.26 1.80 1.53 1.31 1.02 0.63 0.28 0.12 0.26 0.66 1.10 1.36 1.29 45.0 + 47.5 1.29 0.94 0.50 0.20 0.20 0.47 0.86 1.22 1.48 1.70 2.04 2.59 3.28 3.88 4.09 3.75 2.90 1.83 0.91 0.42 0.43 0.74 1.07 1.19 1.04 0.74 0.50 0.47 0.64 0.92 1.13 1.17 1.00 0.72 0.44 0.28 0.30 0.48 0.74 0.95 1.01 0.87 0.60 0.33 0.22 0.34 0.61 0.85 0.89 0.65 0.27 0.02 0.16 0.80 1.79 2.79 3.46 3.59 3.24 2.64 2.06 1.68 1.47 1.31 1.05 0.69 0.33 0.17 0.30 0.68 1.11 1.36 1.29 0.94 0.50 0.20 0.20 0.47 0.86 1.22 1.48 1.70 2.04 2.59 3.28 3.88 4.09 3.75 2.90 1.83 0.91 0.42 0.43 0.74 1.07 1.19 1.04 0.74 0.50 0.47 0.64 0.92 1.13 1.17 1.00 0.72 0.44 0.28 0.30 0.48 0.74 0.95 1.01 0.87 0.60 0.33 0.22 0.34 0.61 0.85 0.89 0.65 0.27 0.02 0.16 0.80 1.79 2.79 3.46 3.59 3.24 2.64 2.06 1.68 1.47 1.31 1.05 0.69 0.33 0.17 0.30 0.68 1.11 1.36 1.29 47.5 + 50.0 1.30 0.98 0.58 0.32 0.34 0.62 1.01 1.35 1.58 1.75 2.03 2.50 3.11 3.66 3.87 3.54 2.72 1.67 0.75 0.24 0.19 0.45 0.74 0.83 0.66 0.36 0.10 0.05 0.20 0.46 0.67 0.72 0.58 0.33 0.07 0.00 0.00 0.07 0.27 0.43 0.44 0.28 0.00 0.00 0.00 0.00 0.06 0.30 0.34 0.12 0.00 0.00 0.00 0.32 1.26 2.21 2.85 3.00 2.72 2.23 1.78 1.53 1.43 1.35 1.15 0.81 0.47 0.29 0.39 0.73 1.13 1.36 1.30 0.98 0.58 0.32 0.34 0.62 1.01 1.35 1.58 1.75 2.03 2.50 3.11 3.66 3.87 3.54 2.72 1.67 0.75 0.24 0.19 0.45 0.74 0.83 0.66 0.36 0.10 0.05 0.20 0.46 0.67 0.72 0.58 0.33 0.07 0.00 0.00 0.07 0.27 0.43 0.44 0.28 0.00 0.00 0.00 0.00 0.06 0.30 0.34 0.12 0.00 0.00 0.00 0.32 1.26 2.21 2.85 3.00 2.72 2.23 1.78 1.53 1.43 1.35 1.15 0.81 0.47 0.29 0.39 0.73 1.13 1.36 1.30 50.0 + 52.5 1.41 1.13 0.78 0.55 0.59 0.85 1.22 1.52 1.68 1.76 1.92 2.26 2.76 3.23 3.41 3.12 2.38 1.40 0.52 0.00 0.00 0.10 0.34 0.41 0.23 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.82 1.69 2.26 2.40 2.17 1.79 1.49 1.37 1.40 1.40 1.27 0.98 0.66 0.49 0.57 0.87 1.24 1.46 1.41 1.13 0.78 0.55 0.59 0.85 1.22 1.52 1.68 1.76 1.92 2.26 2.76 3.23 3.41 3.12 2.38 1.40 0.52 0.00 0.00 0.10 0.34 0.41 0.23 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.82 1.69 2.26 2.40 2.17 1.79 1.49 1.37 1.40 1.40 1.27 0.98 0.66 0.49 0.57 0.87 1.24 1.46 1.41 52.5 + 55.0 1.67 1.42 1.10 0.89 0.91 1.13 1.44 1.67 1.75 1.73 1.75 1.94 2.30 2.67 2.85 2.63 2.01 1.16 0.37 0.00 0.00 0.00 0.14 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.67 1.39 1.85 1.94 1.73 1.43 1.24 1.24 1.36 1.44 1.37 1.13 0.86 0.72 0.82 1.12 1.48 1.70 1.67 1.42 1.10 0.89 0.91 1.13 1.44 1.67 1.75 1.73 1.75 1.94 2.30 2.67 2.85 2.63 2.01 1.16 0.37 0.00 0.00 0.00 0.14 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.67 1.39 1.85 1.94 1.73 1.43 1.24 1.24 1.36 1.44 1.37 1.13 0.86 0.72 0.82 1.12 1.48 1.70 1.67 55.0 + 57.5 2.03 1.81 1.49 1.27 1.23 1.39 1.62 1.77 1.77 1.65 1.54 1.58 1.81 2.11 2.29 2.17 1.71 1.03 0.37 0.00 0.00 0.03 0.23 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.05 0.00 0.00 0.04 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.21 0.08 0.00 0.00 0.00 0.19 0.79 1.36 1.67 1.67 1.44 1.18 1.05 1.12 1.29 1.42 1.39 1.21 1.01 0.94 1.08 1.42 1.79 2.03 2.03 1.81 1.49 1.27 1.23 1.39 1.62 1.77 1.77 1.65 1.54 1.58 1.81 2.11 2.29 2.17 1.71 1.03 0.37 0.00 0.00 0.03 0.23 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.05 0.00 0.00 0.04 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.21 0.08 0.00 0.00 0.00 0.19 0.79 1.36 1.67 1.67 1.44 1.18 1.05 1.12 1.29 1.42 1.39 1.21 1.01 0.94 1.08 1.42 1.79 2.03 2.03 57.5 + 60.0 2.37 2.16 1.85 1.58 1.48 1.55 1.69 1.77 1.71 1.52 1.32 1.24 1.35 1.59 1.78 1.76 1.47 0.97 0.46 0.15 0.11 0.29 0.52 0.62 0.51 0.23 0.00 0.00 0.00 0.00 0.25 0.50 0.63 0.66 0.62 0.58 0.58 0.61 0.64 0.60 0.46 0.23 0.00 0.00 0.00 0.08 0.41 0.68 0.77 0.63 0.38 0.20 0.25 0.56 1.02 1.43 1.61 1.51 1.24 0.99 0.89 0.98 1.16 1.30 1.29 1.17 1.03 1.04 1.26 1.65 2.07 2.34 2.37 2.16 1.85 1.58 1.48 1.55 1.69 1.77 1.71 1.52 1.32 1.24 1.35 1.59 1.78 1.76 1.47 0.97 0.46 0.15 0.11 0.29 0.52 0.62 0.51 0.23 0.00 0.00 0.00 0.00 0.25 0.50 0.63 0.66 0.62 0.58 0.58 0.61 0.64 0.60 0.46 0.23 0.00 0.00 0.00 0.08 0.41 0.68 0.77 0.63 0.38 0.20 0.25 0.56 1.02 1.43 1.61 1.51 1.24 0.99 0.89 0.98 1.16 1.30 1.29 1.17 1.03 1.04 1.26 1.65 2.07 2.34 2.37 60.0 + 62.5 2.55 2.36 2.04 1.73 1.57 1.56 1.64 1.68 1.59 1.37 1.11 0.95 0.97 1.14 1.33 1.39 1.23 0.88 0.50 0.26 0.27 0.49 0.77 0.93 0.87 0.64 0.35 0.15 0.15 0.34 0.63 0.91 1.10 1.16 1.14 1.11 1.10 1.12 1.14 1.09 0.93 0.69 0.43 0.27 0.31 0.54 0.87 1.13 1.19 1.04 0.76 0.54 0.53 0.75 1.10 1.40 1.48 1.32 1.03 0.78 0.69 0.77 0.94 1.07 1.07 0.98 0.90 0.97 1.26 1.70 2.17 2.48 2.55 2.36 2.04 1.73 1.57 1.56 1.64 1.68 1.59 1.37 1.11 0.95 0.97 1.14 1.33 1.39 1.23 0.88 0.50 0.26 0.27 0.49 0.77 0.93 0.87 0.64 0.35 0.15 0.15 0.34 0.63 0.91 1.10 1.16 1.14 1.11 1.10 1.12 1.14 1.09 0.93 0.69 0.43 0.27 0.31 0.54 0.87 1.13 1.19 1.04 0.76 0.54 0.53 0.75 1.10 1.40 1.48 1.32 1.03 0.78 0.69 0.77 0.94 1.07 1.07 0.98 0.90 0.97 1.26 1.70 2.17 2.48 2.55 62.5 + 65.0 2.50 2.35 2.03 1.71 1.50 1.44 1.48 1.50 1.42 1.20 0.92 0.71 0.66 0.77 0.95 1.04 0.94 0.68 0.38 0.19 0.23 0.47 0.79 1.01 1.02 0.83 0.56 0.35 0.33 0.51 0.81 1.11 1.32 1.41 1.40 1.35 1.33 1.35 1.36 1.30 1.14 0.88 0.61 0.45 0.47 0.69 0.99 1.22 1.26 1.07 0.76 0.50 0.44 0.61 0.89 1.13 1.18 1.01 0.74 0.50 0.42 0.50 0.65 0.75 0.75 0.67 0.63 0.75 1.07 1.55 2.05 2.40 2.50 2.35 2.03 1.71 1.50 1.44 1.48 1.50 1.42 1.20 0.92 0.71 0.66 0.77 0.95 1.04 0.94 0.68 0.38 0.19 0.23 0.47 0.79 1.01 1.02 0.83 0.56 0.35 0.33 0.51 0.81 1.11 1.32 1.41 1.40 1.35 1.33 1.35 1.36 1.30 1.14 0.88 0.61 0.45 0.47 0.69 0.99 1.22 1.26 1.07 0.76 0.50 0.44 0.61 0.89 1.13 1.18 1.01 0.74 0.50 0.42 0.50 0.65 0.75 0.75 0.67 0.63 0.75 1.07 1.55 2.05 2.40 2.50 65.0 + 67.5 2.31 2.19 1.90 1.58 1.34 1.26 1.28 1.30 1.24 1.05 0.78 0.55 0.45 0.51 0.65 0.73 0.65 0.41 0.13 0.00 0.00 0.22 0.56 0.82 0.88 0.74 0.48 0.28 0.24 0.39 0.69 1.00 1.23 1.34 1.33 1.28 1.25 1.25 1.25 1.19 1.02 0.76 0.48 0.30 0.30 0.49 0.76 0.96 0.96 0.74 0.40 0.12 0.03 0.17 0.43 0.66 0.73 0.60 0.37 0.18 0.11 0.18 0.32 0.41 0.40 0.33 0.31 0.45 0.78 1.27 1.79 2.17 2.31 2.19 1.90 1.58 1.34 1.26 1.28 1.30 1.24 1.05 0.78 0.55 0.45 0.51 0.65 0.73 0.65 0.41 0.13 0.00 0.00 0.22 0.56 0.82 0.88 0.74 0.48 0.28 0.24 0.39 0.69 1.00 1.23 1.34 1.33 1.28 1.25 1.25 1.25 1.19 1.02 0.76 0.48 0.30 0.30 0.49 0.76 0.96 0.96 0.74 0.40 0.12 0.03 0.17 0.43 0.66 0.73 0.60 0.37 0.18 0.11 0.18 0.32 0.41 0.40 0.33 0.31 0.45 0.78 1.27 1.79 2.17 2.31 67.5 + 70.0 2.11 2.04 1.78 1.47 1.22 1.11 1.11 1.13 1.09 0.92 0.68 0.45 0.34 0.37 0.46 0.51 0.42 0.18 0.00 0.00 0.00 0.00 0.23 0.50 0.59 0.47 0.23 0.02 0.00 0.11 0.40 0.72 0.97 1.09 1.10 1.05 1.01 1.00 0.99 0.91 0.73 0.46 0.17 0.00 0.00 0.12 0.35 0.53 0.51 0.28 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.20 0.03 0.00 0.00 0.00 0.01 0.10 0.10 0.06 0.06 0.20 0.54 1.02 1.54 1.94 2.11 2.04 1.78 1.47 1.22 1.11 1.11 1.13 1.09 0.92 0.68 0.45 0.34 0.37 0.46 0.51 0.42 0.18 0.00 0.00 0.00 0.00 0.23 0.50 0.59 0.47 0.23 0.02 0.00 0.11 0.40 0.72 0.97 1.09 1.10 1.05 1.01 1.00 0.99 0.91 0.73 0.46 0.17 0.00 0.00 0.12 0.35 0.53 0.51 0.28 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.20 0.03 0.00 0.00 0.00 0.01 0.10 0.10 0.06 0.06 0.20 0.54 1.02 1.54 1.94 2.11 70.0 + 72.5 2.07 2.03 1.80 1.50 1.23 1.08 1.04 1.03 0.98 0.83 0.62 0.42 0.32 0.33 0.41 0.43 0.32 0.07 0.00 0.00 0.00 0.00 0.00 0.25 0.34 0.23 0.01 0.00 0.00 0.00 0.14 0.47 0.74 0.89 0.93 0.90 0.86 0.82 0.78 0.68 0.49 0.21 0.00 0.00 0.00 0.00 0.01 0.17 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.45 0.93 1.44 1.86 2.07 2.03 1.80 1.50 1.23 1.08 1.04 1.03 0.98 0.83 0.62 0.42 0.32 0.33 0.41 0.43 0.32 0.07 0.00 0.00 0.00 0.00 0.00 0.25 0.34 0.23 0.01 0.00 0.00 0.00 0.14 0.47 0.74 0.89 0.93 0.90 0.86 0.82 0.78 0.68 0.49 0.21 0.00 0.00 0.00 0.00 0.01 0.17 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.45 0.93 1.44 1.86 2.07 72.5 + 75.0 2.20 2.19 1.98 1.68 1.38 1.18 1.07 1.01 0.92 0.77 0.59 0.42 0.35 0.38 0.45 0.46 0.34 0.10 0.00 0.00 0.00 0.00 0.00 0.21 0.27 0.17 0.00 0.00 0.00 0.00 0.11 0.44 0.73 0.92 1.00 0.99 0.94 0.88 0.79 0.66 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.58 1.05 1.55 1.97 2.20 2.19 1.98 1.68 1.38 1.18 1.07 1.01 0.92 0.77 0.59 0.42 0.35 0.38 0.45 0.46 0.34 0.10 0.00 0.00 0.00 0.00 0.00 0.21 0.27 0.17 0.00 0.00 0.00 0.00 0.11 0.44 0.73 0.92 1.00 0.99 0.94 0.88 0.79 0.66 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.58 1.05 1.55 1.97 2.20 75.0 + 77.5 2.43 2.44 2.24 1.93 1.61 1.35 1.17 1.03 0.90 0.73 0.56 0.44 0.40 0.44 0.50 0.51 0.39 0.18 0.00 0.00 0.00 0.00 0.17 0.34 0.38 0.29 0.12 0.00 0.00 0.07 0.33 0.65 0.95 1.17 1.29 1.31 1.26 1.17 1.04 0.85 0.61 0.33 0.04 0.00 0.00 0.00 0.00 0.17 0.23 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.48 0.84 1.30 1.79 2.20 2.43 2.44 2.24 1.93 1.61 1.35 1.17 1.03 0.90 0.73 0.56 0.44 0.40 0.44 0.50 0.51 0.39 0.18 0.00 0.00 0.00 0.00 0.17 0.34 0.38 0.29 0.12 0.00 0.00 0.07 0.33 0.65 0.95 1.17 1.29 1.31 1.26 1.17 1.04 0.85 0.61 0.33 0.04 0.00 0.00 0.00 0.00 0.17 0.23 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.48 0.84 1.30 1.79 2.20 2.43 77.5 + 80.0 2.61 2.61 2.43 2.13 1.79 1.50 1.26 1.06 0.88 0.70 0.54 0.45 0.43 0.47 0.51 0.49 0.37 0.19 0.02 0.00 0.00 0.16 0.36 0.50 0.54 0.46 0.35 0.27 0.29 0.43 0.68 0.99 1.29 1.53 1.68 1.73 1.68 1.56 1.38 1.15 0.89 0.60 0.33 0.13 0.03 0.06 0.19 0.35 0.44 0.42 0.28 0.09 0.00 0.00 0.00 0.10 0.22 0.26 0.20 0.08 0.00 0.00 0.00 0.01 0.14 0.30 0.49 0.76 1.11 1.55 2.01 2.39 2.61 2.61 2.43 2.13 1.79 1.50 1.26 1.06 0.88 0.70 0.54 0.45 0.43 0.47 0.51 0.49 0.37 0.19 0.02 0.00 0.00 0.16 0.36 0.50 0.54 0.46 0.35 0.27 0.29 0.43 0.68 0.99 1.29 1.53 1.68 1.73 1.68 1.56 1.38 1.15 0.89 0.60 0.33 0.13 0.03 0.06 0.19 0.35 0.44 0.42 0.28 0.09 0.00 0.00 0.00 0.10 0.22 0.26 0.20 0.08 0.00 0.00 0.00 0.01 0.14 0.30 0.49 0.76 1.11 1.55 2.01 2.39 2.61 80.0 + 82.5 2.62 2.62 2.46 2.18 1.86 1.56 1.30 1.06 0.85 0.66 0.52 0.44 0.43 0.45 0.44 0.37 0.23 0.06 0.00 0.00 0.06 0.25 0.44 0.57 0.60 0.57 0.52 0.51 0.59 0.76 1.00 1.29 1.57 1.82 1.99 2.07 2.03 1.90 1.69 1.43 1.15 0.87 0.62 0.41 0.29 0.26 0.33 0.45 0.55 0.57 0.48 0.31 0.13 0.03 0.04 0.14 0.27 0.35 0.36 0.28 0.18 0.10 0.10 0.18 0.32 0.50 0.72 0.98 1.32 1.71 2.10 2.43 2.62 2.62 2.46 2.18 1.86 1.56 1.30 1.06 0.85 0.66 0.52 0.44 0.43 0.45 0.44 0.37 0.23 0.06 0.00 0.00 0.06 0.25 0.44 0.57 0.60 0.57 0.52 0.51 0.59 0.76 1.00 1.29 1.57 1.82 1.99 2.07 2.03 1.90 1.69 1.43 1.15 0.87 0.62 0.41 0.29 0.26 0.33 0.45 0.55 0.57 0.48 0.31 0.13 0.03 0.04 0.14 0.27 0.35 0.36 0.28 0.18 0.10 0.10 0.18 0.32 0.50 0.72 0.98 1.32 1.71 2.10 2.43 2.62 82.5 + 85.0 2.48 2.47 2.32 2.08 1.80 1.52 1.26 1.02 0.81 0.62 0.50 0.43 0.42 0.40 0.34 0.20 0.01 0.00 0.00 0.00 0.00 0.19 0.38 0.50 0.53 0.53 0.55 0.61 0.75 0.94 1.18 1.44 1.70 1.95 2.14 2.24 2.23 2.10 1.88 1.61 1.33 1.07 0.83 0.62 0.46 0.38 0.38 0.44 0.51 0.53 0.46 0.30 0.10 0.00 0.00 0.00 0.15 0.31 0.39 0.39 0.33 0.27 0.26 0.33 0.47 0.66 0.88 1.13 1.42 1.74 2.07 2.33 2.48 2.47 2.32 2.08 1.80 1.52 1.26 1.02 0.81 0.62 0.50 0.43 0.42 0.40 0.34 0.20 0.01 0.00 0.00 0.00 0.00 0.19 0.38 0.50 0.53 0.53 0.55 0.61 0.75 0.94 1.18 1.44 1.70 1.95 2.14 2.24 2.23 2.10 1.88 1.61 1.33 1.07 0.83 0.62 0.46 0.38 0.38 0.44 0.51 0.53 0.46 0.30 0.10 0.00 0.00 0.00 0.15 0.31 0.39 0.39 0.33 0.27 0.26 0.33 0.47 0.66 0.88 1.13 1.42 1.74 2.07 2.33 2.48 85.0 + 87.5 2.30 2.27 2.13 1.91 1.66 1.42 1.18 0.95 0.75 0.58 0.47 0.42 0.41 0.37 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.38 0.41 0.43 0.47 0.59 0.76 0.96 1.19 1.43 1.67 1.92 2.14 2.28 2.30 2.19 1.99 1.73 1.46 1.21 0.98 0.77 0.58 0.44 0.37 0.37 0.40 0.41 0.33 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.41 0.40 0.37 0.37 0.45 0.59 0.78 0.99 1.22 1.47 1.74 2.00 2.20 2.30 2.27 2.13 1.91 1.66 1.42 1.18 0.95 0.75 0.58 0.47 0.42 0.41 0.37 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.38 0.41 0.43 0.47 0.59 0.76 0.96 1.19 1.43 1.67 1.92 2.14 2.28 2.30 2.19 1.99 1.73 1.46 1.21 0.98 0.77 0.58 0.44 0.37 0.37 0.40 0.41 0.33 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.41 0.40 0.37 0.37 0.45 0.59 0.78 0.99 1.22 1.47 1.74 2.00 2.20 2.30 87.5 + 90.0 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 90.0 + + 5.0 DEGREE - PHI2-SECTION ( FMAX ABS = 4.56 FMAX-I = 4.56 ) PHI2 = 5. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 0.0 + 2.5 2.06 1.82 1.56 1.32 1.09 0.88 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.08 1.30 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.32 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.69 0.89 1.11 1.34 1.58 1.84 2.07 2.25 2.31 2.24 2.06 1.82 1.56 1.32 1.09 0.88 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.08 1.30 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.79 1.55 1.32 1.09 0.88 0.68 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.69 0.89 1.11 1.34 1.58 1.84 2.07 2.25 2.31 2.24 2.06 2.5 + 5.0 2.16 1.86 1.55 1.26 1.01 0.78 0.57 0.40 0.28 0.24 0.26 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.48 0.44 0.41 0.44 0.54 0.72 0.93 1.18 1.44 1.69 1.92 2.08 2.15 2.10 1.96 1.75 1.50 1.24 0.99 0.77 0.59 0.48 0.44 0.45 0.48 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.28 0.27 0.33 0.45 0.64 0.85 1.09 1.34 1.62 1.92 2.21 2.41 2.47 2.38 2.16 1.86 1.55 1.26 1.01 0.78 0.57 0.40 0.28 0.24 0.26 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.48 0.44 0.41 0.44 0.54 0.72 0.93 1.18 1.44 1.69 1.92 2.08 2.15 2.10 1.96 1.75 1.50 1.24 0.99 0.77 0.59 0.48 0.44 0.45 0.48 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.28 0.27 0.33 0.45 0.64 0.85 1.09 1.34 1.62 1.92 2.21 2.41 2.47 2.38 2.16 5.0 + 7.5 2.19 1.83 1.45 1.12 0.85 0.62 0.42 0.25 0.13 0.08 0.12 0.19 0.23 0.20 0.09 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.47 0.40 0.30 0.26 0.31 0.45 0.68 0.95 1.23 1.49 1.72 1.87 1.94 1.92 1.79 1.59 1.33 1.05 0.77 0.54 0.38 0.32 0.35 0.43 0.48 0.45 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.21 0.26 0.23 0.18 0.18 0.24 0.39 0.57 0.79 1.02 1.29 1.61 1.97 2.30 2.53 2.60 2.47 2.19 1.83 1.45 1.12 0.85 0.62 0.42 0.25 0.13 0.08 0.12 0.19 0.23 0.20 0.09 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.47 0.40 0.30 0.26 0.31 0.45 0.68 0.95 1.23 1.49 1.72 1.87 1.94 1.92 1.79 1.59 1.33 1.05 0.77 0.54 0.38 0.32 0.35 0.43 0.48 0.45 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.21 0.26 0.23 0.18 0.18 0.24 0.39 0.57 0.79 1.02 1.29 1.61 1.97 2.30 2.53 2.60 2.47 2.19 7.5 + 10.0 2.09 1.66 1.24 0.89 0.63 0.42 0.25 0.09 0.00 0.00 0.00 0.03 0.12 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.33 0.25 0.10 0.00 0.00 0.11 0.34 0.63 0.93 1.19 1.39 1.53 1.59 1.58 1.49 1.31 1.05 0.75 0.45 0.20 0.07 0.07 0.17 0.29 0.36 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.23 0.23 0.16 0.10 0.10 0.19 0.35 0.53 0.72 0.92 1.18 1.51 1.90 2.26 2.52 2.58 2.42 2.09 1.66 1.24 0.89 0.63 0.42 0.25 0.09 0.00 0.00 0.00 0.03 0.12 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.33 0.25 0.10 0.00 0.00 0.11 0.34 0.63 0.93 1.19 1.39 1.53 1.59 1.58 1.49 1.31 1.05 0.75 0.45 0.20 0.07 0.07 0.17 0.29 0.36 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.23 0.23 0.16 0.10 0.10 0.19 0.35 0.53 0.72 0.92 1.18 1.51 1.90 2.26 2.52 2.58 2.42 2.09 10.0 + 12.5 1.85 1.38 0.94 0.60 0.37 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.02 0.32 0.62 0.86 1.03 1.13 1.18 1.19 1.13 0.98 0.74 0.43 0.11 0.00 0.00 0.00 0.00 0.12 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.22 0.18 0.10 0.05 0.08 0.21 0.37 0.53 0.67 0.82 1.03 1.33 1.72 2.09 2.35 2.41 2.23 1.85 1.38 0.94 0.60 0.37 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.02 0.32 0.62 0.86 1.03 1.13 1.18 1.19 1.13 0.98 0.74 0.43 0.11 0.00 0.00 0.00 0.00 0.12 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.22 0.18 0.10 0.05 0.08 0.21 0.37 0.53 0.67 0.82 1.03 1.33 1.72 2.09 2.35 2.41 2.23 1.85 12.5 + 15.0 1.59 1.11 0.66 0.34 0.16 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.65 0.78 0.84 0.87 0.89 0.87 0.77 0.56 0.26 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.16 0.08 0.05 0.13 0.29 0.47 0.60 0.68 0.75 0.89 1.15 1.51 1.89 2.15 2.20 1.99 1.59 1.11 0.66 0.34 0.16 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.65 0.78 0.84 0.87 0.89 0.87 0.77 0.56 0.26 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.16 0.08 0.05 0.13 0.29 0.47 0.60 0.68 0.75 0.89 1.15 1.51 1.89 2.15 2.20 1.99 1.59 15.0 + 17.5 1.46 0.96 0.51 0.21 0.08 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.11 0.00 0.00 0.00 0.00 0.00 0.23 0.50 0.68 0.76 0.79 0.81 0.84 0.85 0.79 0.61 0.33 0.00 0.00 0.00 0.00 0.00 0.17 0.24 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.26 0.21 0.12 0.11 0.23 0.42 0.62 0.74 0.77 0.79 0.86 1.07 1.40 1.77 2.03 2.08 1.87 1.46 0.96 0.51 0.21 0.08 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.11 0.00 0.00 0.00 0.00 0.00 0.23 0.50 0.68 0.76 0.79 0.81 0.84 0.85 0.79 0.61 0.33 0.00 0.00 0.00 0.00 0.00 0.17 0.24 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.26 0.21 0.12 0.11 0.23 0.42 0.62 0.74 0.77 0.79 0.86 1.07 1.40 1.77 2.03 2.08 1.87 1.46 17.5 + 20.0 1.52 1.01 0.55 0.26 0.15 0.17 0.20 0.16 0.04 0.00 0.00 0.00 0.06 0.21 0.23 0.08 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.47 0.27 0.03 0.00 0.00 0.20 0.50 0.76 0.92 0.97 0.97 0.98 1.02 1.05 1.02 0.88 0.61 0.28 0.02 0.00 0.02 0.25 0.47 0.55 0.41 0.10 0.00 0.00 0.00 0.00 0.16 0.37 0.42 0.34 0.24 0.23 0.36 0.59 0.81 0.94 0.96 0.94 0.97 1.14 1.45 1.80 2.08 2.14 1.94 1.52 1.01 0.55 0.26 0.15 0.17 0.20 0.16 0.04 0.00 0.00 0.00 0.06 0.21 0.23 0.08 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.47 0.27 0.03 0.00 0.00 0.20 0.50 0.76 0.92 0.97 0.97 0.98 1.02 1.05 1.02 0.88 0.61 0.28 0.02 0.00 0.02 0.25 0.47 0.55 0.41 0.10 0.00 0.00 0.00 0.00 0.16 0.37 0.42 0.34 0.24 0.23 0.36 0.59 0.81 0.94 0.96 0.94 0.97 1.14 1.45 1.80 2.08 2.14 1.94 1.52 20.0 + 22.5 1.73 1.21 0.75 0.46 0.37 0.41 0.46 0.43 0.31 0.17 0.11 0.20 0.40 0.61 0.69 0.58 0.32 0.07 0.00 0.13 0.45 0.78 0.96 0.91 0.68 0.41 0.26 0.30 0.52 0.81 1.06 1.21 1.25 1.24 1.24 1.27 1.32 1.30 1.17 0.92 0.60 0.33 0.21 0.30 0.54 0.78 0.88 0.77 0.47 0.14 0.00 0.00 0.16 0.45 0.65 0.68 0.57 0.43 0.40 0.52 0.77 1.02 1.18 1.21 1.17 1.18 1.32 1.61 1.96 2.25 2.33 2.14 1.73 1.21 0.75 0.46 0.37 0.41 0.46 0.43 0.31 0.17 0.11 0.20 0.40 0.61 0.69 0.58 0.32 0.07 0.00 0.13 0.45 0.78 0.96 0.91 0.68 0.41 0.26 0.30 0.52 0.81 1.06 1.21 1.25 1.24 1.24 1.27 1.32 1.30 1.17 0.92 0.60 0.33 0.21 0.30 0.54 0.78 0.88 0.77 0.47 0.14 0.00 0.00 0.16 0.45 0.65 0.68 0.57 0.43 0.40 0.52 0.77 1.02 1.18 1.21 1.17 1.18 1.32 1.61 1.96 2.25 2.33 2.14 1.73 22.5 + 25.0 1.96 1.45 1.00 0.72 0.64 0.70 0.77 0.74 0.61 0.46 0.41 0.53 0.78 1.04 1.16 1.06 0.80 0.52 0.41 0.53 0.81 1.11 1.26 1.18 0.91 0.62 0.44 0.46 0.67 0.94 1.19 1.33 1.36 1.34 1.33 1.36 1.40 1.40 1.28 1.04 0.73 0.45 0.32 0.39 0.63 0.89 1.04 0.98 0.72 0.40 0.19 0.21 0.44 0.74 0.97 1.01 0.89 0.71 0.63 0.72 0.96 1.23 1.42 1.47 1.43 1.41 1.51 1.77 2.11 2.41 2.51 2.35 1.96 1.45 1.00 0.72 0.64 0.70 0.77 0.74 0.61 0.46 0.41 0.53 0.78 1.04 1.16 1.06 0.80 0.52 0.41 0.53 0.81 1.11 1.26 1.18 0.91 0.62 0.44 0.46 0.67 0.94 1.19 1.33 1.36 1.34 1.33 1.36 1.40 1.40 1.28 1.04 0.73 0.45 0.32 0.39 0.63 0.89 1.04 0.98 0.72 0.40 0.19 0.21 0.44 0.74 0.97 1.01 0.89 0.71 0.63 0.72 0.96 1.23 1.42 1.47 1.43 1.41 1.51 1.77 2.11 2.41 2.51 2.35 1.96 25.0 + 27.5 2.05 1.58 1.16 0.92 0.89 0.98 1.06 1.03 0.89 0.73 0.68 0.82 1.10 1.37 1.48 1.34 1.03 0.70 0.52 0.59 0.84 1.11 1.22 1.10 0.81 0.49 0.30 0.31 0.50 0.77 1.00 1.13 1.16 1.13 1.11 1.13 1.17 1.17 1.08 0.87 0.58 0.30 0.15 0.20 0.42 0.71 0.91 0.91 0.71 0.43 0.25 0.30 0.58 0.96 1.28 1.39 1.28 1.08 0.94 0.97 1.17 1.43 1.63 1.69 1.63 1.56 1.60 1.80 2.12 2.42 2.55 2.42 2.05 1.58 1.16 0.92 0.89 0.98 1.06 1.03 0.89 0.73 0.68 0.82 1.10 1.37 1.48 1.34 1.03 0.70 0.52 0.59 0.84 1.11 1.22 1.10 0.81 0.49 0.30 0.31 0.50 0.77 1.00 1.13 1.16 1.13 1.11 1.13 1.17 1.17 1.08 0.87 0.58 0.30 0.15 0.20 0.42 0.71 0.91 0.91 0.71 0.43 0.25 0.30 0.58 0.96 1.28 1.39 1.28 1.08 0.94 0.97 1.17 1.43 1.63 1.69 1.63 1.56 1.60 1.80 2.12 2.42 2.55 2.42 2.05 27.5 + 30.0 1.96 1.53 1.16 0.99 1.02 1.17 1.28 1.26 1.11 0.94 0.89 1.03 1.31 1.56 1.61 1.38 0.96 0.52 0.27 0.28 0.50 0.73 0.82 0.69 0.39 0.07 0.00 0.00 0.07 0.32 0.54 0.65 0.67 0.63 0.61 0.62 0.67 0.69 0.64 0.48 0.22 0.00 0.00 0.00 0.02 0.33 0.58 0.64 0.50 0.27 0.13 0.23 0.61 1.13 1.59 1.83 1.79 1.58 1.37 1.30 1.42 1.63 1.79 1.82 1.71 1.57 1.53 1.66 1.93 2.23 2.38 2.28 1.96 1.53 1.16 0.99 1.02 1.17 1.28 1.26 1.11 0.94 0.89 1.03 1.31 1.56 1.61 1.38 0.96 0.52 0.27 0.28 0.50 0.73 0.82 0.69 0.39 0.07 0.00 0.00 0.07 0.32 0.54 0.65 0.67 0.63 0.61 0.62 0.67 0.69 0.64 0.48 0.22 0.00 0.00 0.00 0.02 0.33 0.58 0.64 0.50 0.27 0.13 0.23 0.61 1.13 1.59 1.83 1.79 1.58 1.37 1.30 1.42 1.63 1.79 1.82 1.71 1.57 1.53 1.66 1.93 2.23 2.38 2.28 1.96 30.0 + 32.5 1.72 1.33 1.02 0.92 1.03 1.24 1.40 1.40 1.26 1.10 1.06 1.22 1.48 1.68 1.64 1.28 0.71 0.15 0.00 0.00 0.00 0.19 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.13 0.12 0.07 0.03 0.05 0.12 0.20 0.22 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.38 0.29 0.09 0.00 0.15 0.63 1.32 1.97 2.36 2.41 2.20 1.90 1.71 1.69 1.80 1.89 1.86 1.67 1.44 1.30 1.36 1.60 1.89 2.07 2.01 1.72 1.33 1.02 0.92 1.03 1.24 1.40 1.40 1.26 1.10 1.06 1.22 1.48 1.68 1.64 1.28 0.71 0.15 0.00 0.00 0.00 0.19 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.13 0.12 0.07 0.03 0.05 0.12 0.20 0.22 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.38 0.29 0.09 0.00 0.15 0.63 1.32 1.97 2.36 2.41 2.20 1.90 1.71 1.69 1.80 1.89 1.86 1.67 1.44 1.30 1.36 1.60 1.89 2.07 2.01 1.72 32.5 + 35.0 1.47 1.10 0.83 0.77 0.95 1.22 1.43 1.47 1.37 1.24 1.25 1.45 1.72 1.89 1.74 1.25 0.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.10 0.00 0.20 0.77 1.61 2.43 2.99 3.12 2.89 2.49 2.15 1.97 1.95 1.93 1.81 1.54 1.23 1.02 1.03 1.25 1.55 1.76 1.73 1.47 1.10 0.83 0.77 0.95 1.22 1.43 1.47 1.37 1.24 1.25 1.45 1.72 1.89 1.74 1.25 0.53 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.10 0.00 0.20 0.77 1.61 2.43 2.99 3.12 2.89 2.49 2.15 1.97 1.95 1.93 1.81 1.54 1.23 1.02 1.03 1.25 1.55 1.76 1.73 1.47 35.0 + 37.5 1.32 0.95 0.67 0.62 0.83 1.14 1.40 1.50 1.45 1.41 1.51 1.79 2.12 2.28 2.08 1.47 0.63 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.34 0.25 0.03 0.00 0.00 0.00 0.17 0.48 0.64 0.57 0.36 0.24 0.43 1.05 1.98 2.94 3.62 3.81 3.56 3.05 2.55 2.21 2.04 1.92 1.71 1.37 1.00 0.75 0.75 0.99 1.34 1.58 1.57 1.32 0.95 0.67 0.62 0.83 1.14 1.40 1.50 1.45 1.41 1.51 1.79 2.12 2.28 2.08 1.47 0.63 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.34 0.25 0.03 0.00 0.00 0.00 0.17 0.48 0.64 0.57 0.36 0.24 0.43 1.05 1.98 2.94 3.62 3.81 3.56 3.05 2.55 2.21 2.04 1.92 1.71 1.37 1.00 0.75 0.75 0.99 1.34 1.58 1.57 1.32 37.5 + 40.0 1.30 0.90 0.59 0.52 0.72 1.06 1.36 1.52 1.55 1.62 1.84 2.24 2.67 2.88 2.66 1.99 1.06 0.19 0.00 0.00 0.00 0.14 0.30 0.22 0.00 0.00 0.00 0.00 0.00 0.26 0.41 0.41 0.28 0.12 0.02 0.06 0.24 0.51 0.75 0.87 0.80 0.59 0.35 0.23 0.33 0.62 0.93 1.08 1.00 0.75 0.57 0.73 1.34 2.31 3.34 4.09 4.32 4.03 3.44 2.81 2.34 2.06 1.86 1.59 1.22 0.83 0.58 0.60 0.88 1.27 1.56 1.57 1.30 0.90 0.59 0.52 0.72 1.06 1.36 1.52 1.55 1.62 1.84 2.24 2.67 2.88 2.66 1.99 1.06 0.19 0.00 0.00 0.00 0.14 0.30 0.22 0.00 0.00 0.00 0.00 0.00 0.26 0.41 0.41 0.28 0.12 0.02 0.06 0.24 0.51 0.75 0.87 0.80 0.59 0.35 0.23 0.33 0.62 0.93 1.08 1.00 0.75 0.57 0.73 1.34 2.31 3.34 4.09 4.32 4.03 3.44 2.81 2.34 2.06 1.86 1.59 1.22 0.83 0.58 0.60 0.88 1.27 1.56 1.57 1.30 40.0 + 42.5 1.37 0.94 0.58 0.48 0.67 1.01 1.35 1.56 1.69 1.87 2.22 2.76 3.29 3.57 3.37 2.67 1.69 0.76 0.20 0.11 0.36 0.70 0.88 0.80 0.54 0.28 0.19 0.33 0.60 0.87 1.01 0.96 0.79 0.57 0.44 0.46 0.64 0.92 1.18 1.31 1.25 1.02 0.76 0.61 0.69 0.95 1.25 1.40 1.29 1.00 0.77 0.87 1.44 2.41 3.46 4.23 4.48 4.19 3.56 2.87 2.34 2.02 1.78 1.50 1.13 0.74 0.51 0.56 0.88 1.31 1.63 1.65 1.37 0.94 0.58 0.48 0.67 1.01 1.35 1.56 1.69 1.87 2.22 2.76 3.29 3.57 3.37 2.67 1.69 0.76 0.20 0.11 0.36 0.70 0.88 0.80 0.54 0.28 0.19 0.33 0.60 0.87 1.01 0.96 0.79 0.57 0.44 0.46 0.64 0.92 1.18 1.31 1.25 1.02 0.76 0.61 0.69 0.95 1.25 1.40 1.29 1.00 0.77 0.87 1.44 2.41 3.46 4.23 4.48 4.19 3.56 2.87 2.34 2.02 1.78 1.50 1.13 0.74 0.51 0.56 0.88 1.31 1.63 1.65 1.37 42.5 + 45.0 1.44 0.99 0.62 0.50 0.67 1.03 1.39 1.66 1.86 2.13 2.58 3.21 3.84 4.17 4.00 3.30 2.29 1.32 0.72 0.59 0.83 1.16 1.33 1.24 0.96 0.70 0.61 0.74 1.01 1.27 1.39 1.31 1.09 0.83 0.66 0.65 0.80 1.05 1.29 1.40 1.32 1.08 0.80 0.63 0.69 0.93 1.22 1.36 1.23 0.92 0.64 0.70 1.22 2.15 3.18 3.96 4.23 3.96 3.36 2.71 2.21 1.91 1.70 1.45 1.10 0.73 0.51 0.57 0.91 1.37 1.70 1.73 1.44 0.99 0.62 0.50 0.67 1.03 1.39 1.66 1.86 2.13 2.58 3.21 3.84 4.17 4.00 3.30 2.29 1.32 0.72 0.59 0.83 1.16 1.33 1.24 0.96 0.70 0.61 0.74 1.01 1.27 1.39 1.31 1.09 0.83 0.66 0.65 0.80 1.05 1.29 1.40 1.32 1.08 0.80 0.63 0.69 0.93 1.22 1.36 1.23 0.92 0.64 0.70 1.22 2.15 3.18 3.96 4.23 3.96 3.36 2.71 2.21 1.91 1.70 1.45 1.10 0.73 0.51 0.57 0.91 1.37 1.70 1.73 1.44 45.0 + 47.5 1.46 1.03 0.67 0.57 0.76 1.13 1.51 1.81 2.04 2.35 2.84 3.51 4.16 4.53 4.39 3.69 2.67 1.67 1.02 0.84 1.02 1.31 1.46 1.35 1.06 0.77 0.66 0.77 1.03 1.27 1.37 1.27 1.03 0.75 0.55 0.50 0.61 0.81 1.00 1.07 0.96 0.70 0.42 0.25 0.30 0.54 0.81 0.94 0.81 0.49 0.21 0.24 0.72 1.60 2.59 3.35 3.64 3.43 2.92 2.37 1.98 1.77 1.65 1.45 1.14 0.78 0.56 0.62 0.94 1.38 1.70 1.74 1.46 1.03 0.67 0.57 0.76 1.13 1.51 1.81 2.04 2.35 2.84 3.51 4.16 4.53 4.39 3.69 2.67 1.67 1.02 0.84 1.02 1.31 1.46 1.35 1.06 0.77 0.66 0.77 1.03 1.27 1.37 1.27 1.03 0.75 0.55 0.50 0.61 0.81 1.00 1.07 0.96 0.70 0.42 0.25 0.30 0.54 0.81 0.94 0.81 0.49 0.21 0.24 0.72 1.60 2.59 3.35 3.64 3.43 2.92 2.37 1.98 1.77 1.65 1.45 1.14 0.78 0.56 0.62 0.94 1.38 1.70 1.74 1.46 47.5 + 50.0 1.47 1.08 0.77 0.70 0.91 1.29 1.69 1.98 2.21 2.48 2.94 3.56 4.19 4.56 4.43 3.76 2.76 1.75 1.05 0.81 0.92 1.15 1.26 1.13 0.82 0.52 0.38 0.46 0.69 0.91 1.00 0.91 0.68 0.41 0.21 0.14 0.20 0.35 0.47 0.49 0.35 0.10 0.00 0.00 0.00 0.00 0.24 0.37 0.25 0.00 0.00 0.00 0.16 0.97 1.90 2.61 2.91 2.77 2.37 1.96 1.72 1.64 1.62 1.49 1.22 0.88 0.65 0.67 0.96 1.36 1.67 1.71 1.47 1.08 0.77 0.70 0.91 1.29 1.69 1.98 2.21 2.48 2.94 3.56 4.19 4.56 4.43 3.76 2.76 1.75 1.05 0.81 0.92 1.15 1.26 1.13 0.82 0.52 0.38 0.46 0.69 0.91 1.00 0.91 0.68 0.41 0.21 0.14 0.20 0.35 0.47 0.49 0.35 0.10 0.00 0.00 0.00 0.00 0.24 0.37 0.25 0.00 0.00 0.00 0.16 0.97 1.90 2.61 2.91 2.77 2.37 1.96 1.72 1.64 1.62 1.49 1.22 0.88 0.65 0.67 0.96 1.36 1.67 1.71 1.47 50.0 + 52.5 1.53 1.20 0.94 0.91 1.14 1.51 1.88 2.15 2.31 2.51 2.86 3.37 3.92 4.25 4.14 3.54 2.60 1.63 0.92 0.62 0.67 0.84 0.91 0.77 0.46 0.14 0.00 0.02 0.21 0.42 0.52 0.47 0.28 0.06 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.54 1.37 2.01 2.27 2.17 1.87 1.59 1.48 1.53 1.59 1.53 1.30 0.98 0.75 0.76 1.01 1.38 1.67 1.73 1.53 1.20 0.94 0.91 1.14 1.51 1.88 2.15 2.31 2.51 2.86 3.37 3.92 4.25 4.14 3.54 2.60 1.63 0.92 0.62 0.67 0.84 0.91 0.77 0.46 0.14 0.00 0.02 0.21 0.42 0.52 0.47 0.28 0.06 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.54 1.37 2.01 2.27 2.17 1.87 1.59 1.48 1.53 1.59 1.53 1.30 0.98 0.75 0.76 1.01 1.38 1.67 1.73 1.53 52.5 + 55.0 1.68 1.41 1.20 1.18 1.39 1.73 2.06 2.25 2.34 2.41 2.61 2.98 3.41 3.70 3.63 3.13 2.31 1.43 0.76 0.45 0.46 0.60 0.65 0.51 0.21 0.00 0.00 0.00 0.00 0.07 0.21 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.17 1.69 1.88 1.77 1.51 1.32 1.30 1.42 1.55 1.53 1.33 1.05 0.84 0.85 1.10 1.46 1.75 1.84 1.68 1.41 1.20 1.18 1.39 1.73 2.06 2.25 2.34 2.41 2.61 2.98 3.41 3.70 3.63 3.13 2.31 1.43 0.76 0.45 0.46 0.60 0.65 0.51 0.21 0.00 0.00 0.00 0.00 0.07 0.21 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.17 1.69 1.88 1.77 1.51 1.32 1.30 1.42 1.55 1.53 1.33 1.05 0.84 0.85 1.10 1.46 1.75 1.84 1.68 55.0 + 57.5 1.91 1.68 1.49 1.46 1.62 1.90 2.15 2.27 2.26 2.21 2.25 2.45 2.76 3.00 2.99 2.62 1.97 1.24 0.66 0.38 0.39 0.52 0.60 0.49 0.22 0.00 0.00 0.00 0.00 0.03 0.22 0.30 0.28 0.20 0.11 0.08 0.10 0.14 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.38 0.34 0.14 0.00 0.00 0.21 0.71 1.26 1.64 1.73 1.57 1.31 1.14 1.15 1.29 1.43 1.43 1.27 1.03 0.87 0.92 1.19 1.57 1.89 2.02 1.91 1.68 1.49 1.46 1.62 1.90 2.15 2.27 2.26 2.21 2.25 2.45 2.76 3.00 2.99 2.62 1.97 1.24 0.66 0.38 0.39 0.52 0.60 0.49 0.22 0.00 0.00 0.00 0.00 0.03 0.22 0.30 0.28 0.20 0.11 0.08 0.10 0.14 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.38 0.34 0.14 0.00 0.00 0.21 0.71 1.26 1.64 1.73 1.57 1.31 1.14 1.15 1.29 1.43 1.43 1.27 1.03 0.87 0.92 1.19 1.57 1.89 2.02 1.91 57.5 + 60.0 2.12 1.92 1.73 1.66 1.77 1.97 2.15 2.20 2.10 1.94 1.84 1.89 2.08 2.28 2.32 2.10 1.63 1.06 0.60 0.39 0.42 0.59 0.70 0.66 0.44 0.15 0.00 0.00 0.00 0.24 0.48 0.64 0.70 0.68 0.64 0.61 0.62 0.65 0.65 0.57 0.41 0.19 0.03 0.00 0.15 0.44 0.75 0.92 0.89 0.70 0.49 0.44 0.63 1.02 1.44 1.69 1.69 1.46 1.17 0.98 0.97 1.09 1.21 1.21 1.07 0.88 0.78 0.89 1.21 1.64 2.00 2.17 2.12 1.92 1.73 1.66 1.77 1.97 2.15 2.20 2.10 1.94 1.84 1.89 2.08 2.28 2.32 2.10 1.63 1.06 0.60 0.39 0.42 0.59 0.70 0.66 0.44 0.15 0.00 0.00 0.00 0.24 0.48 0.64 0.70 0.68 0.64 0.61 0.62 0.65 0.65 0.57 0.41 0.19 0.03 0.00 0.15 0.44 0.75 0.92 0.89 0.70 0.49 0.44 0.63 1.02 1.44 1.69 1.69 1.46 1.17 0.98 0.97 1.09 1.21 1.21 1.07 0.88 0.78 0.89 1.21 1.64 2.00 2.17 2.12 60.0 + 62.5 2.20 2.04 1.86 1.75 1.79 1.92 2.04 2.05 1.91 1.68 1.47 1.40 1.48 1.63 1.71 1.60 1.29 0.87 0.52 0.37 0.44 0.64 0.82 0.85 0.70 0.45 0.23 0.16 0.27 0.51 0.80 1.02 1.15 1.17 1.14 1.11 1.11 1.12 1.11 1.02 0.84 0.62 0.44 0.40 0.54 0.82 1.12 1.29 1.26 1.05 0.81 0.71 0.84 1.14 1.46 1.63 1.56 1.30 0.99 0.78 0.73 0.81 0.89 0.88 0.76 0.61 0.57 0.73 1.10 1.56 1.97 2.20 2.20 2.04 1.86 1.75 1.79 1.92 2.04 2.05 1.91 1.68 1.47 1.40 1.48 1.63 1.71 1.60 1.29 0.87 0.52 0.37 0.44 0.64 0.82 0.85 0.70 0.45 0.23 0.16 0.27 0.51 0.80 1.02 1.15 1.17 1.14 1.11 1.11 1.12 1.11 1.02 0.84 0.62 0.44 0.40 0.54 0.82 1.12 1.29 1.26 1.05 0.81 0.71 0.84 1.14 1.46 1.63 1.56 1.30 0.99 0.78 0.73 0.81 0.89 0.88 0.76 0.61 0.57 0.73 1.10 1.56 1.97 2.20 2.20 62.5 + 65.0 2.13 2.03 1.85 1.73 1.72 1.80 1.89 1.88 1.73 1.47 1.21 1.05 1.04 1.15 1.24 1.20 0.99 0.67 0.38 0.26 0.35 0.59 0.82 0.93 0.85 0.64 0.42 0.32 0.41 0.65 0.96 1.23 1.39 1.44 1.42 1.37 1.35 1.34 1.31 1.22 1.03 0.79 0.59 0.52 0.63 0.89 1.16 1.31 1.25 1.02 0.75 0.61 0.67 0.91 1.18 1.33 1.26 1.01 0.71 0.49 0.42 0.46 0.52 0.50 0.39 0.27 0.27 0.46 0.84 1.33 1.78 2.07 2.13 2.03 1.85 1.73 1.72 1.80 1.89 1.88 1.73 1.47 1.21 1.05 1.04 1.15 1.24 1.20 0.99 0.67 0.38 0.26 0.35 0.59 0.82 0.93 0.85 0.64 0.42 0.32 0.41 0.65 0.96 1.23 1.39 1.44 1.42 1.37 1.35 1.34 1.31 1.22 1.03 0.79 0.59 0.52 0.63 0.89 1.16 1.31 1.25 1.02 0.75 0.61 0.67 0.91 1.18 1.33 1.26 1.01 0.71 0.49 0.42 0.46 0.52 0.50 0.39 0.27 0.27 0.46 0.84 1.33 1.78 2.07 2.13 65.0 + 67.5 1.99 1.94 1.81 1.68 1.63 1.68 1.75 1.75 1.62 1.37 1.09 0.89 0.82 0.88 0.96 0.95 0.78 0.51 0.24 0.11 0.19 0.43 0.69 0.85 0.82 0.64 0.43 0.30 0.35 0.57 0.89 1.18 1.38 1.45 1.42 1.36 1.31 1.28 1.24 1.14 0.95 0.70 0.48 0.37 0.45 0.66 0.90 1.02 0.94 0.69 0.39 0.21 0.23 0.43 0.69 0.85 0.82 0.62 0.36 0.17 0.09 0.12 0.16 0.15 0.06 0.00 0.00 0.17 0.55 1.04 1.52 1.85 1.99 1.94 1.81 1.68 1.63 1.68 1.75 1.75 1.62 1.37 1.09 0.89 0.82 0.88 0.96 0.95 0.78 0.51 0.24 0.11 0.19 0.43 0.69 0.85 0.82 0.64 0.43 0.30 0.35 0.57 0.89 1.18 1.38 1.45 1.42 1.36 1.31 1.28 1.24 1.14 0.95 0.70 0.48 0.37 0.45 0.66 0.90 1.02 0.94 0.69 0.39 0.21 0.23 0.43 0.69 0.85 0.82 0.62 0.36 0.17 0.09 0.12 0.16 0.15 0.06 0.00 0.00 0.17 0.55 1.04 1.52 1.85 1.99 67.5 + 70.0 1.90 1.92 1.82 1.69 1.63 1.64 1.69 1.69 1.59 1.38 1.12 0.91 0.82 0.84 0.91 0.89 0.74 0.47 0.19 0.03 0.07 0.28 0.54 0.72 0.72 0.56 0.34 0.18 0.20 0.39 0.69 0.99 1.22 1.31 1.29 1.22 1.15 1.09 1.04 0.93 0.74 0.49 0.25 0.12 0.16 0.33 0.54 0.64 0.56 0.30 0.00 0.00 0.00 0.00 0.20 0.39 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.35 0.82 1.31 1.70 1.90 1.92 1.82 1.69 1.63 1.64 1.69 1.69 1.59 1.38 1.12 0.91 0.82 0.84 0.91 0.89 0.74 0.47 0.19 0.03 0.07 0.28 0.54 0.72 0.72 0.56 0.34 0.18 0.20 0.39 0.69 0.99 1.22 1.31 1.29 1.22 1.15 1.09 1.04 0.93 0.74 0.49 0.25 0.12 0.16 0.33 0.54 0.64 0.56 0.30 0.00 0.00 0.00 0.00 0.20 0.39 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.35 0.82 1.31 1.70 1.90 70.0 + 72.5 1.97 2.05 1.98 1.85 1.74 1.70 1.71 1.70 1.62 1.44 1.22 1.04 0.95 0.97 1.02 1.00 0.85 0.58 0.29 0.11 0.11 0.28 0.51 0.67 0.67 0.52 0.30 0.13 0.11 0.26 0.55 0.86 1.10 1.23 1.23 1.16 1.07 0.98 0.90 0.78 0.59 0.35 0.11 0.00 0.00 0.11 0.29 0.40 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.33 0.80 1.29 1.71 1.97 2.05 1.98 1.85 1.74 1.70 1.71 1.70 1.62 1.44 1.22 1.04 0.95 0.97 1.02 1.00 0.85 0.58 0.29 0.11 0.11 0.28 0.51 0.67 0.67 0.52 0.30 0.13 0.11 0.26 0.55 0.86 1.10 1.23 1.23 1.16 1.07 0.98 0.90 0.78 0.59 0.35 0.11 0.00 0.00 0.11 0.29 0.40 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.33 0.80 1.29 1.71 1.97 72.5 + 75.0 2.21 2.32 2.26 2.11 1.95 1.84 1.79 1.74 1.65 1.50 1.32 1.18 1.12 1.15 1.19 1.17 1.02 0.77 0.50 0.32 0.31 0.44 0.63 0.77 0.76 0.62 0.41 0.24 0.21 0.34 0.61 0.92 1.19 1.34 1.37 1.31 1.20 1.08 0.96 0.81 0.61 0.37 0.14 0.00 0.00 0.09 0.27 0.40 0.39 0.23 0.00 0.00 0.00 0.00 0.00 0.16 0.25 0.21 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.52 0.97 1.47 1.91 2.21 2.32 2.26 2.11 1.95 1.84 1.79 1.74 1.65 1.50 1.32 1.18 1.12 1.15 1.19 1.17 1.02 0.77 0.50 0.32 0.31 0.44 0.63 0.77 0.76 0.62 0.41 0.24 0.21 0.34 0.61 0.92 1.19 1.34 1.37 1.31 1.20 1.08 0.96 0.81 0.61 0.37 0.14 0.00 0.00 0.09 0.27 0.40 0.39 0.23 0.00 0.00 0.00 0.00 0.00 0.16 0.25 0.21 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.52 0.97 1.47 1.91 2.21 75.0 + 77.5 2.49 2.61 2.55 2.37 2.16 1.98 1.84 1.73 1.61 1.47 1.33 1.23 1.20 1.23 1.27 1.24 1.11 0.89 0.67 0.54 0.55 0.67 0.83 0.94 0.93 0.81 0.64 0.51 0.50 0.63 0.88 1.18 1.46 1.65 1.71 1.66 1.54 1.38 1.20 1.00 0.77 0.53 0.31 0.16 0.13 0.22 0.39 0.54 0.60 0.53 0.36 0.19 0.09 0.11 0.23 0.38 0.46 0.45 0.34 0.19 0.07 0.00 0.00 0.03 0.08 0.15 0.27 0.48 0.81 1.25 1.74 2.18 2.49 2.61 2.55 2.37 2.16 1.98 1.84 1.73 1.61 1.47 1.33 1.23 1.20 1.23 1.27 1.24 1.11 0.89 0.67 0.54 0.55 0.67 0.83 0.94 0.93 0.81 0.64 0.51 0.50 0.63 0.88 1.18 1.46 1.65 1.71 1.66 1.54 1.38 1.20 1.00 0.77 0.53 0.31 0.16 0.13 0.22 0.39 0.54 0.60 0.53 0.36 0.19 0.09 0.11 0.23 0.38 0.46 0.45 0.34 0.19 0.07 0.00 0.00 0.03 0.08 0.15 0.27 0.48 0.81 1.25 1.74 2.18 2.49 77.5 + 80.0 2.66 2.77 2.71 2.51 2.26 2.01 1.81 1.64 1.48 1.33 1.21 1.14 1.13 1.16 1.17 1.12 0.99 0.81 0.67 0.61 0.66 0.79 0.94 1.04 1.04 0.96 0.86 0.79 0.83 0.97 1.22 1.51 1.79 2.00 2.10 2.07 1.94 1.74 1.50 1.24 0.98 0.73 0.51 0.35 0.30 0.35 0.50 0.66 0.77 0.78 0.70 0.56 0.44 0.41 0.46 0.57 0.65 0.67 0.59 0.46 0.32 0.21 0.16 0.18 0.25 0.36 0.52 0.76 1.09 1.50 1.96 2.37 2.66 2.77 2.71 2.51 2.26 2.01 1.81 1.64 1.48 1.33 1.21 1.14 1.13 1.16 1.17 1.12 0.99 0.81 0.67 0.61 0.66 0.79 0.94 1.04 1.04 0.96 0.86 0.79 0.83 0.97 1.22 1.51 1.79 2.00 2.10 2.07 1.94 1.74 1.50 1.24 0.98 0.73 0.51 0.35 0.30 0.35 0.50 0.66 0.77 0.78 0.70 0.56 0.44 0.41 0.46 0.57 0.65 0.67 0.59 0.46 0.32 0.21 0.16 0.18 0.25 0.36 0.52 0.76 1.09 1.50 1.96 2.37 2.66 80.0 + 82.5 2.64 2.73 2.65 2.45 2.18 1.90 1.65 1.44 1.25 1.10 1.00 0.95 0.94 0.94 0.90 0.80 0.66 0.51 0.42 0.44 0.55 0.71 0.86 0.94 0.96 0.93 0.91 0.93 1.03 1.20 1.44 1.72 2.00 2.23 2.37 2.38 2.26 2.04 1.75 1.45 1.15 0.88 0.65 0.48 0.39 0.39 0.48 0.62 0.76 0.82 0.79 0.69 0.56 0.48 0.48 0.55 0.65 0.72 0.71 0.62 0.49 0.36 0.29 0.29 0.37 0.51 0.70 0.94 1.26 1.63 2.03 2.39 2.64 2.73 2.65 2.45 2.18 1.90 1.65 1.44 1.25 1.10 1.00 0.95 0.94 0.94 0.90 0.80 0.66 0.51 0.42 0.44 0.55 0.71 0.86 0.94 0.96 0.93 0.91 0.93 1.03 1.20 1.44 1.72 2.00 2.23 2.37 2.38 2.26 2.04 1.75 1.45 1.15 0.88 0.65 0.48 0.39 0.39 0.48 0.62 0.76 0.82 0.79 0.69 0.56 0.48 0.48 0.55 0.65 0.72 0.71 0.62 0.49 0.36 0.29 0.29 0.37 0.51 0.70 0.94 1.26 1.63 2.03 2.39 2.64 82.5 + 85.0 2.45 2.50 2.41 2.21 1.95 1.68 1.41 1.18 0.98 0.84 0.75 0.72 0.71 0.67 0.58 0.43 0.25 0.10 0.05 0.12 0.28 0.46 0.61 0.68 0.71 0.72 0.76 0.86 1.01 1.21 1.45 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.98 0.75 0.55 0.41 0.34 0.36 0.45 0.56 0.64 0.64 0.55 0.41 0.29 0.25 0.31 0.44 0.57 0.64 0.63 0.54 0.43 0.35 0.35 0.43 0.58 0.78 1.03 1.32 1.65 1.98 2.27 2.45 2.50 2.41 2.21 1.95 1.68 1.41 1.18 0.98 0.84 0.75 0.72 0.71 0.67 0.58 0.43 0.25 0.10 0.05 0.12 0.28 0.46 0.61 0.68 0.71 0.72 0.76 0.86 1.01 1.21 1.45 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.98 0.75 0.55 0.41 0.34 0.36 0.45 0.56 0.64 0.64 0.55 0.41 0.29 0.25 0.31 0.44 0.57 0.64 0.63 0.54 0.43 0.35 0.35 0.43 0.58 0.78 1.03 1.32 1.65 1.98 2.27 2.45 85.0 + 87.5 2.24 2.24 2.13 1.93 1.68 1.41 1.16 0.93 0.74 0.61 0.54 0.53 0.53 0.49 0.37 0.17 0.00 0.00 0.00 0.00 0.03 0.21 0.35 0.41 0.42 0.44 0.50 0.64 0.83 1.04 1.28 1.54 1.82 2.10 2.34 2.48 2.47 2.31 2.04 1.72 1.39 1.10 0.86 0.64 0.46 0.32 0.26 0.27 0.34 0.39 0.39 0.30 0.14 0.00 0.00 0.00 0.12 0.32 0.47 0.53 0.51 0.43 0.37 0.38 0.48 0.64 0.85 1.09 1.36 1.64 1.90 2.12 2.24 2.24 2.13 1.93 1.68 1.41 1.16 0.93 0.74 0.61 0.54 0.53 0.53 0.49 0.37 0.17 0.00 0.00 0.00 0.00 0.03 0.21 0.35 0.41 0.42 0.44 0.50 0.64 0.83 1.04 1.28 1.54 1.82 2.10 2.34 2.48 2.47 2.31 2.04 1.72 1.39 1.10 0.86 0.64 0.46 0.32 0.26 0.27 0.34 0.39 0.39 0.30 0.14 0.00 0.00 0.00 0.12 0.32 0.47 0.53 0.51 0.43 0.37 0.38 0.48 0.64 0.85 1.09 1.36 1.64 1.90 2.12 2.24 87.5 + 90.0 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 90.0 + + 7.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.21 FMAX-I = 5.21 ) PHI2 = 8. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 0.0 + 2.5 1.82 1.56 1.32 1.09 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.07 1.29 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.80 1.56 1.32 1.10 0.88 0.69 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.40 0.52 0.69 0.90 1.12 1.34 1.59 1.84 2.08 2.25 2.31 2.24 2.06 1.82 1.56 1.32 1.09 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.52 0.67 0.86 1.07 1.29 1.53 1.77 2.00 2.16 2.22 2.17 2.01 1.80 1.56 1.32 1.10 0.88 0.69 0.53 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.40 0.52 0.69 0.90 1.12 1.34 1.59 1.84 2.08 2.25 2.31 2.24 2.06 1.82 2.5 + 5.0 1.84 1.53 1.25 0.99 0.77 0.56 0.39 0.28 0.24 0.26 0.29 0.27 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.36 0.46 0.48 0.44 0.40 0.43 0.54 0.71 0.92 1.17 1.42 1.68 1.91 2.08 2.15 2.12 1.97 1.76 1.51 1.26 1.01 0.79 0.60 0.49 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.29 0.29 0.34 0.47 0.65 0.87 1.11 1.36 1.64 1.94 2.22 2.41 2.47 2.37 2.14 1.84 1.53 1.25 0.99 0.77 0.56 0.39 0.28 0.24 0.26 0.29 0.27 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.36 0.46 0.48 0.44 0.40 0.43 0.54 0.71 0.92 1.17 1.42 1.68 1.91 2.08 2.15 2.12 1.97 1.76 1.51 1.26 1.01 0.79 0.60 0.49 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.29 0.29 0.34 0.47 0.65 0.87 1.11 1.36 1.64 1.94 2.22 2.41 2.47 2.37 2.14 1.84 5.0 + 7.5 1.80 1.42 1.09 0.82 0.59 0.39 0.22 0.11 0.08 0.12 0.20 0.25 0.22 0.11 0.00 0.00 0.00 0.00 0.16 0.35 0.47 0.48 0.40 0.30 0.26 0.30 0.45 0.67 0.94 1.22 1.48 1.71 1.88 1.96 1.94 1.82 1.63 1.37 1.09 0.81 0.57 0.41 0.35 0.37 0.44 0.49 0.46 0.32 0.12 0.00 0.00 0.00 0.00 0.09 0.22 0.28 0.26 0.22 0.22 0.29 0.43 0.62 0.84 1.07 1.34 1.66 2.01 2.33 2.55 2.60 2.46 2.17 1.80 1.42 1.09 0.82 0.59 0.39 0.22 0.11 0.08 0.12 0.20 0.25 0.22 0.11 0.00 0.00 0.00 0.00 0.16 0.35 0.47 0.48 0.40 0.30 0.26 0.30 0.45 0.67 0.94 1.22 1.48 1.71 1.88 1.96 1.94 1.82 1.63 1.37 1.09 0.81 0.57 0.41 0.35 0.37 0.44 0.49 0.46 0.32 0.12 0.00 0.00 0.00 0.00 0.09 0.22 0.28 0.26 0.22 0.22 0.29 0.43 0.62 0.84 1.07 1.34 1.66 2.01 2.33 2.55 2.60 2.46 2.17 1.80 7.5 + 10.0 1.62 1.19 0.84 0.58 0.38 0.20 0.05 0.00 0.00 0.00 0.03 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.26 0.12 0.00 0.00 0.11 0.34 0.63 0.92 1.18 1.39 1.54 1.62 1.62 1.54 1.36 1.11 0.80 0.50 0.26 0.12 0.12 0.21 0.33 0.40 0.36 0.20 0.00 0.00 0.00 0.00 0.02 0.19 0.29 0.29 0.23 0.17 0.19 0.28 0.44 0.62 0.81 1.02 1.27 1.60 1.97 2.32 2.55 2.58 2.41 2.05 1.62 1.19 0.84 0.58 0.38 0.20 0.05 0.00 0.00 0.00 0.03 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.26 0.12 0.00 0.00 0.11 0.34 0.63 0.92 1.18 1.39 1.54 1.62 1.62 1.54 1.36 1.11 0.80 0.50 0.26 0.12 0.12 0.21 0.33 0.40 0.36 0.20 0.00 0.00 0.00 0.00 0.02 0.19 0.29 0.29 0.23 0.17 0.19 0.28 0.44 0.62 0.81 1.02 1.27 1.60 1.97 2.32 2.55 2.58 2.41 2.05 1.62 10.0 + 12.5 1.33 0.88 0.53 0.30 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.09 0.00 0.00 0.00 0.00 0.04 0.33 0.63 0.87 1.04 1.15 1.22 1.24 1.19 1.05 0.82 0.51 0.19 0.00 0.00 0.00 0.02 0.19 0.26 0.20 0.01 0.00 0.00 0.00 0.00 0.03 0.23 0.32 0.30 0.22 0.18 0.22 0.35 0.51 0.68 0.81 0.96 1.16 1.46 1.82 2.17 2.40 2.42 2.21 1.81 1.33 0.88 0.53 0.30 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.09 0.00 0.00 0.00 0.00 0.04 0.33 0.63 0.87 1.04 1.15 1.22 1.24 1.19 1.05 0.82 0.51 0.19 0.00 0.00 0.00 0.02 0.19 0.26 0.20 0.01 0.00 0.00 0.00 0.00 0.03 0.23 0.32 0.30 0.22 0.18 0.22 0.35 0.51 0.68 0.81 0.96 1.16 1.46 1.82 2.17 2.40 2.42 2.21 1.81 1.33 12.5 + 15.0 1.04 0.58 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.46 0.67 0.80 0.87 0.92 0.95 0.94 0.85 0.64 0.33 0.01 0.00 0.00 0.00 0.00 0.12 0.20 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.35 0.31 0.24 0.22 0.30 0.47 0.65 0.79 0.87 0.94 1.07 1.31 1.64 1.97 2.19 2.20 1.96 1.54 1.04 0.58 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.46 0.67 0.80 0.87 0.92 0.95 0.94 0.85 0.64 0.33 0.01 0.00 0.00 0.00 0.00 0.12 0.20 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.35 0.31 0.24 0.22 0.30 0.47 0.65 0.79 0.87 0.94 1.07 1.31 1.64 1.97 2.19 2.20 1.96 1.54 1.04 15.0 + 17.5 0.87 0.41 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.13 0.00 0.00 0.00 0.00 0.00 0.24 0.51 0.69 0.78 0.82 0.85 0.89 0.91 0.86 0.68 0.40 0.07 0.00 0.00 0.00 0.02 0.23 0.31 0.20 0.00 0.00 0.00 0.00 0.00 0.08 0.32 0.41 0.37 0.29 0.29 0.41 0.61 0.82 0.95 0.99 1.00 1.06 1.24 1.53 1.84 2.05 2.06 1.82 1.38 0.87 0.41 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.13 0.00 0.00 0.00 0.00 0.00 0.24 0.51 0.69 0.78 0.82 0.85 0.89 0.91 0.86 0.68 0.40 0.07 0.00 0.00 0.00 0.02 0.23 0.31 0.20 0.00 0.00 0.00 0.00 0.00 0.08 0.32 0.41 0.37 0.29 0.29 0.41 0.61 0.82 0.95 0.99 1.00 1.06 1.24 1.53 1.84 2.05 2.06 1.82 1.38 0.87 17.5 + 20.0 0.89 0.42 0.12 0.00 0.02 0.06 0.05 0.00 0.00 0.00 0.00 0.04 0.21 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.48 0.30 0.07 0.00 0.00 0.21 0.50 0.75 0.91 0.98 0.99 1.01 1.06 1.10 1.07 0.93 0.66 0.33 0.07 0.00 0.05 0.27 0.49 0.58 0.46 0.17 0.00 0.00 0.00 0.00 0.24 0.46 0.53 0.47 0.39 0.39 0.52 0.76 1.00 1.14 1.18 1.15 1.16 1.29 1.54 1.84 2.06 2.08 1.85 1.41 0.89 0.42 0.12 0.00 0.02 0.06 0.05 0.00 0.00 0.00 0.00 0.04 0.21 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.31 0.50 0.48 0.30 0.07 0.00 0.00 0.21 0.50 0.75 0.91 0.98 0.99 1.01 1.06 1.10 1.07 0.93 0.66 0.33 0.07 0.00 0.05 0.27 0.49 0.58 0.46 0.17 0.00 0.00 0.00 0.00 0.24 0.46 0.53 0.47 0.39 0.39 0.52 0.76 1.00 1.14 1.18 1.15 1.16 1.29 1.54 1.84 2.06 2.08 1.85 1.41 0.89 20.0 + 22.5 1.07 0.60 0.29 0.19 0.23 0.30 0.30 0.22 0.11 0.08 0.18 0.39 0.62 0.72 0.63 0.38 0.13 0.02 0.14 0.44 0.77 0.95 0.92 0.71 0.44 0.29 0.31 0.51 0.79 1.04 1.19 1.24 1.24 1.25 1.30 1.34 1.33 1.21 0.95 0.63 0.36 0.23 0.29 0.51 0.75 0.86 0.76 0.49 0.17 0.00 0.00 0.18 0.47 0.69 0.75 0.67 0.55 0.52 0.66 0.91 1.18 1.36 1.41 1.37 1.35 1.44 1.66 1.94 2.17 2.22 2.01 1.59 1.07 0.60 0.29 0.19 0.23 0.30 0.30 0.22 0.11 0.08 0.18 0.39 0.62 0.72 0.63 0.38 0.13 0.02 0.14 0.44 0.77 0.95 0.92 0.71 0.44 0.29 0.31 0.51 0.79 1.04 1.19 1.24 1.24 1.25 1.30 1.34 1.33 1.21 0.95 0.63 0.36 0.23 0.29 0.51 0.75 0.86 0.76 0.49 0.17 0.00 0.00 0.18 0.47 0.69 0.75 0.67 0.55 0.52 0.66 0.91 1.18 1.36 1.41 1.37 1.35 1.44 1.66 1.94 2.17 2.22 2.01 1.59 1.07 22.5 + 25.0 1.30 0.83 0.53 0.44 0.51 0.60 0.62 0.54 0.43 0.40 0.52 0.78 1.06 1.21 1.14 0.90 0.62 0.48 0.56 0.83 1.12 1.28 1.22 0.97 0.68 0.49 0.49 0.66 0.93 1.16 1.31 1.35 1.35 1.35 1.38 1.42 1.42 1.31 1.08 0.77 0.48 0.33 0.37 0.57 0.83 0.98 0.94 0.71 0.41 0.20 0.20 0.42 0.73 0.98 1.06 0.97 0.83 0.76 0.85 1.09 1.37 1.58 1.65 1.61 1.56 1.60 1.78 2.05 2.29 2.37 2.20 1.81 1.30 0.83 0.53 0.44 0.51 0.60 0.62 0.54 0.43 0.40 0.52 0.78 1.06 1.21 1.14 0.90 0.62 0.48 0.56 0.83 1.12 1.28 1.22 0.97 0.68 0.49 0.49 0.66 0.93 1.16 1.31 1.35 1.35 1.35 1.38 1.42 1.42 1.31 1.08 0.77 0.48 0.33 0.37 0.57 0.83 0.98 0.94 0.71 0.41 0.20 0.20 0.42 0.73 0.98 1.06 0.97 0.83 0.76 0.85 1.09 1.37 1.58 1.65 1.61 1.56 1.60 1.78 2.05 2.29 2.37 2.20 1.81 1.30 25.0 + 27.5 1.44 1.01 0.74 0.69 0.79 0.91 0.94 0.85 0.73 0.69 0.82 1.10 1.40 1.55 1.46 1.18 0.85 0.65 0.68 0.90 1.16 1.29 1.20 0.93 0.61 0.40 0.38 0.53 0.77 0.99 1.13 1.17 1.15 1.14 1.16 1.20 1.20 1.12 0.92 0.64 0.36 0.18 0.19 0.38 0.65 0.86 0.89 0.73 0.47 0.30 0.33 0.59 0.98 1.32 1.48 1.43 1.27 1.14 1.16 1.34 1.59 1.80 1.87 1.81 1.71 1.69 1.80 2.04 2.29 2.40 2.27 1.92 1.44 1.01 0.74 0.69 0.79 0.91 0.94 0.85 0.73 0.69 0.82 1.10 1.40 1.55 1.46 1.18 0.85 0.65 0.68 0.90 1.16 1.29 1.20 0.93 0.61 0.40 0.38 0.53 0.77 0.99 1.13 1.17 1.15 1.14 1.16 1.20 1.20 1.12 0.92 0.64 0.36 0.18 0.19 0.38 0.65 0.86 0.89 0.73 0.47 0.30 0.33 0.59 0.98 1.32 1.48 1.43 1.27 1.14 1.16 1.34 1.59 1.80 1.87 1.81 1.71 1.69 1.80 2.04 2.29 2.40 2.27 1.92 1.44 27.5 + 30.0 1.45 1.06 0.86 0.87 1.02 1.18 1.22 1.12 0.97 0.92 1.04 1.31 1.58 1.69 1.53 1.16 0.74 0.46 0.43 0.60 0.84 0.95 0.85 0.57 0.25 0.03 0.00 0.14 0.36 0.56 0.68 0.71 0.69 0.66 0.67 0.72 0.75 0.71 0.58 0.34 0.08 0.00 0.00 0.05 0.33 0.59 0.70 0.61 0.42 0.29 0.37 0.72 1.24 1.74 2.04 2.07 1.90 1.70 1.60 1.68 1.86 2.02 2.05 1.94 1.76 1.65 1.69 1.88 2.12 2.26 2.19 1.88 1.45 1.06 0.86 0.87 1.02 1.18 1.22 1.12 0.97 0.92 1.04 1.31 1.58 1.69 1.53 1.16 0.74 0.46 0.43 0.60 0.84 0.95 0.85 0.57 0.25 0.03 0.00 0.14 0.36 0.56 0.68 0.71 0.69 0.66 0.67 0.72 0.75 0.71 0.58 0.34 0.08 0.00 0.00 0.05 0.33 0.59 0.70 0.61 0.42 0.29 0.37 0.72 1.24 1.74 2.04 2.07 1.90 1.70 1.60 1.68 1.86 2.02 2.05 1.94 1.76 1.65 1.69 1.88 2.12 2.26 2.19 1.88 1.45 30.0 + 32.5 1.36 1.02 0.87 0.95 1.17 1.37 1.43 1.33 1.17 1.09 1.20 1.45 1.68 1.71 1.44 0.95 0.41 0.04 0.00 0.10 0.32 0.44 0.35 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.19 0.20 0.16 0.13 0.14 0.20 0.29 0.33 0.27 0.11 0.00 0.00 0.00 0.00 0.08 0.39 0.56 0.54 0.39 0.30 0.45 0.90 1.57 2.26 2.73 2.86 2.70 2.41 2.17 2.09 2.15 2.21 2.17 1.98 1.71 1.50 1.47 1.62 1.86 2.03 2.00 1.74 1.36 1.02 0.87 0.95 1.17 1.37 1.43 1.33 1.17 1.09 1.20 1.45 1.68 1.71 1.44 0.95 0.41 0.04 0.00 0.10 0.32 0.44 0.35 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.19 0.20 0.16 0.13 0.14 0.20 0.29 0.33 0.27 0.11 0.00 0.00 0.00 0.00 0.08 0.39 0.56 0.54 0.39 0.30 0.45 0.90 1.57 2.26 2.73 2.86 2.70 2.41 2.17 2.09 2.15 2.21 2.17 1.98 1.71 1.50 1.47 1.62 1.86 2.03 2.00 1.74 1.36 32.5 + 35.0 1.26 0.95 0.83 0.96 1.23 1.47 1.56 1.48 1.33 1.27 1.39 1.63 1.83 1.78 1.41 0.78 0.13 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.24 0.15 0.00 0.00 0.00 0.00 0.10 0.43 0.65 0.67 0.55 0.47 0.65 1.18 1.99 2.85 3.48 3.72 3.56 3.17 2.77 2.51 2.41 2.36 2.22 1.94 1.59 1.31 1.23 1.37 1.63 1.83 1.84 1.62 1.26 0.95 0.83 0.96 1.23 1.47 1.56 1.48 1.33 1.27 1.39 1.63 1.83 1.78 1.41 0.78 0.13 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.24 0.15 0.00 0.00 0.00 0.00 0.10 0.43 0.65 0.67 0.55 0.47 0.65 1.18 1.99 2.85 3.48 3.72 3.56 3.17 2.77 2.51 2.41 2.36 2.22 1.94 1.59 1.31 1.23 1.37 1.63 1.83 1.84 1.62 1.26 35.0 + 37.5 1.25 0.92 0.81 0.95 1.24 1.52 1.65 1.61 1.51 1.51 1.69 1.98 2.18 2.09 1.63 0.89 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.02 0.23 0.44 0.56 0.52 0.36 0.15 0.04 0.13 0.40 0.74 0.98 1.02 0.90 0.80 0.97 1.53 2.42 3.40 4.16 4.47 4.30 3.82 3.27 2.85 2.60 2.43 2.20 1.86 1.46 1.15 1.05 1.21 1.51 1.77 1.82 1.61 1.25 0.92 0.81 0.95 1.24 1.52 1.65 1.61 1.51 1.51 1.69 1.98 2.18 2.09 1.63 0.89 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.02 0.23 0.44 0.56 0.52 0.36 0.15 0.04 0.13 0.40 0.74 0.98 1.02 0.90 0.80 0.97 1.53 2.42 3.40 4.16 4.47 4.30 3.82 3.27 2.85 2.60 2.43 2.20 1.86 1.46 1.15 1.05 1.21 1.51 1.77 1.82 1.61 1.25 37.5 + 40.0 1.34 0.98 0.83 0.95 1.25 1.55 1.72 1.75 1.74 1.85 2.13 2.51 2.77 2.68 2.17 1.35 0.51 0.00 0.00 0.00 0.14 0.33 0.30 0.07 0.00 0.00 0.00 0.00 0.19 0.39 0.46 0.41 0.30 0.22 0.25 0.40 0.64 0.90 1.06 1.05 0.89 0.66 0.52 0.56 0.81 1.15 1.39 1.43 1.28 1.14 1.25 1.79 2.70 3.73 4.56 4.91 4.74 4.20 3.55 3.01 2.65 2.41 2.14 1.77 1.36 1.05 0.98 1.18 1.54 1.85 1.93 1.72 1.34 0.98 0.83 0.95 1.25 1.55 1.72 1.75 1.74 1.85 2.13 2.51 2.77 2.68 2.17 1.35 0.51 0.00 0.00 0.00 0.14 0.33 0.30 0.07 0.00 0.00 0.00 0.00 0.19 0.39 0.46 0.41 0.30 0.22 0.25 0.40 0.64 0.90 1.06 1.05 0.89 0.66 0.52 0.56 0.81 1.15 1.39 1.43 1.28 1.14 1.25 1.79 2.70 3.73 4.56 4.91 4.74 4.20 3.55 3.01 2.65 2.41 2.14 1.77 1.36 1.05 0.98 1.18 1.54 1.85 1.93 1.72 1.34 40.0 + 42.5 1.49 1.09 0.90 0.99 1.28 1.61 1.83 1.93 2.03 2.27 2.69 3.18 3.52 3.47 2.95 2.08 1.17 0.52 0.28 0.42 0.70 0.90 0.86 0.63 0.36 0.21 0.28 0.51 0.79 1.00 1.05 0.96 0.80 0.68 0.68 0.81 1.05 1.31 1.46 1.45 1.26 1.01 0.83 0.84 1.07 1.39 1.62 1.64 1.45 1.26 1.31 1.79 2.66 3.69 4.54 4.92 4.76 4.21 3.52 2.95 2.57 2.31 2.05 1.70 1.31 1.02 0.99 1.24 1.65 2.00 2.11 1.90 1.49 1.09 0.90 0.99 1.28 1.61 1.83 1.93 2.03 2.27 2.69 3.18 3.52 3.47 2.95 2.08 1.17 0.52 0.28 0.42 0.70 0.90 0.86 0.63 0.36 0.21 0.28 0.51 0.79 1.00 1.05 0.96 0.80 0.68 0.68 0.81 1.05 1.31 1.46 1.45 1.26 1.01 0.83 0.84 1.07 1.39 1.62 1.64 1.45 1.26 1.31 1.79 2.66 3.69 4.54 4.92 4.76 4.21 3.52 2.95 2.57 2.31 2.05 1.70 1.31 1.02 0.99 1.24 1.65 2.00 2.11 1.90 1.49 42.5 + 45.0 1.62 1.20 0.99 1.07 1.36 1.71 1.99 2.17 2.37 2.72 3.26 3.86 4.29 4.28 3.77 2.87 1.91 1.19 0.90 1.00 1.25 1.43 1.38 1.13 0.84 0.68 0.75 0.98 1.26 1.45 1.46 1.33 1.12 0.96 0.91 1.00 1.19 1.40 1.52 1.47 1.25 0.97 0.77 0.76 0.97 1.27 1.48 1.48 1.27 1.04 1.03 1.44 2.25 3.24 4.07 4.47 4.34 3.84 3.21 2.70 2.37 2.17 1.96 1.65 1.29 1.04 1.03 1.30 1.73 2.11 2.24 2.04 1.62 1.20 0.99 1.07 1.36 1.71 1.99 2.17 2.37 2.72 3.26 3.86 4.29 4.28 3.77 2.87 1.91 1.19 0.90 1.00 1.25 1.43 1.38 1.13 0.84 0.68 0.75 0.98 1.26 1.45 1.46 1.33 1.12 0.96 0.91 1.00 1.19 1.40 1.52 1.47 1.25 0.97 0.77 0.76 0.97 1.27 1.48 1.48 1.27 1.04 1.03 1.44 2.25 3.24 4.07 4.47 4.34 3.84 3.21 2.70 2.37 2.17 1.96 1.65 1.29 1.04 1.03 1.30 1.73 2.11 2.24 2.04 1.62 45.0 + 47.5 1.69 1.29 1.10 1.19 1.51 1.89 2.21 2.45 2.72 3.14 3.74 4.40 4.87 4.91 4.41 3.51 2.50 1.72 1.35 1.37 1.58 1.71 1.63 1.36 1.05 0.88 0.92 1.13 1.39 1.54 1.52 1.35 1.10 0.90 0.80 0.84 0.97 1.12 1.17 1.08 0.85 0.57 0.36 0.35 0.54 0.82 1.02 1.01 0.80 0.54 0.50 0.84 1.58 2.50 3.30 3.70 3.63 3.22 2.72 2.33 2.12 2.02 1.89 1.63 1.31 1.06 1.04 1.30 1.73 2.12 2.25 2.08 1.69 1.29 1.10 1.19 1.51 1.89 2.21 2.45 2.72 3.14 3.74 4.40 4.87 4.91 4.41 3.51 2.50 1.72 1.35 1.37 1.58 1.71 1.63 1.36 1.05 0.88 0.92 1.13 1.39 1.54 1.52 1.35 1.10 0.90 0.80 0.84 0.97 1.12 1.17 1.08 0.85 0.57 0.36 0.35 0.54 0.82 1.02 1.01 0.80 0.54 0.50 0.84 1.58 2.50 3.30 3.70 3.63 3.22 2.72 2.33 2.12 2.02 1.89 1.63 1.31 1.06 1.04 1.30 1.73 2.12 2.25 2.08 1.69 47.5 + 50.0 1.69 1.36 1.22 1.35 1.70 2.11 2.46 2.73 3.01 3.43 4.02 4.67 5.15 5.21 4.74 3.84 2.82 1.99 1.54 1.48 1.61 1.69 1.58 1.29 0.96 0.76 0.76 0.94 1.16 1.29 1.24 1.05 0.80 0.57 0.45 0.45 0.52 0.60 0.61 0.49 0.26 0.00 0.00 0.00 0.02 0.29 0.48 0.47 0.26 0.02 0.00 0.25 0.91 1.74 2.47 2.86 2.84 2.54 2.17 1.94 1.87 1.89 1.84 1.63 1.33 1.07 1.03 1.25 1.65 2.02 2.16 2.03 1.69 1.36 1.22 1.35 1.70 2.11 2.46 2.73 3.01 3.43 4.02 4.67 5.15 5.21 4.74 3.84 2.82 1.99 1.54 1.48 1.61 1.69 1.58 1.29 0.96 0.76 0.76 0.94 1.16 1.29 1.24 1.05 0.80 0.57 0.45 0.45 0.52 0.60 0.61 0.49 0.26 0.00 0.00 0.00 0.02 0.29 0.48 0.47 0.26 0.02 0.00 0.25 0.91 1.74 2.47 2.86 2.84 2.54 2.17 1.94 1.87 1.89 1.84 1.63 1.33 1.07 1.03 1.25 1.65 2.02 2.16 2.03 1.69 50.0 + 52.5 1.69 1.43 1.35 1.53 1.90 2.33 2.68 2.93 3.17 3.52 4.03 4.62 5.06 5.12 4.70 3.86 2.87 2.02 1.52 1.38 1.43 1.47 1.33 1.03 0.69 0.46 0.43 0.56 0.75 0.86 0.83 0.66 0.42 0.22 0.10 0.07 0.11 0.16 0.13 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.16 0.00 0.00 0.00 0.00 0.50 1.23 1.86 2.21 2.20 1.97 1.72 1.61 1.66 1.76 1.77 1.61 1.31 1.05 0.98 1.17 1.53 1.88 2.04 1.95 1.69 1.43 1.35 1.53 1.90 2.33 2.68 2.93 3.17 3.52 4.03 4.62 5.06 5.12 4.70 3.86 2.87 2.02 1.52 1.38 1.43 1.47 1.33 1.03 0.69 0.46 0.43 0.56 0.75 0.86 0.83 0.66 0.42 0.22 0.10 0.07 0.11 0.16 0.13 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.16 0.00 0.00 0.00 0.00 0.50 1.23 1.86 2.21 2.20 1.97 1.72 1.61 1.66 1.76 1.77 1.61 1.31 1.05 0.98 1.17 1.53 1.88 2.04 1.95 1.69 52.5 + 55.0 1.72 1.53 1.50 1.70 2.07 2.48 2.81 3.01 3.17 3.40 3.77 4.23 4.61 4.68 4.33 3.60 2.70 1.89 1.38 1.19 1.20 1.21 1.07 0.79 0.45 0.20 0.13 0.23 0.39 0.52 0.52 0.41 0.24 0.08 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.23 0.08 0.00 0.00 0.00 0.47 1.08 1.60 1.86 1.83 1.62 1.42 1.37 1.48 1.62 1.66 1.51 1.23 0.98 0.90 1.07 1.40 1.75 1.94 1.91 1.72 1.53 1.50 1.70 2.07 2.48 2.81 3.01 3.17 3.40 3.77 4.23 4.61 4.68 4.33 3.60 2.70 1.89 1.38 1.19 1.20 1.21 1.07 0.79 0.45 0.20 0.13 0.23 0.39 0.52 0.52 0.41 0.24 0.08 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.23 0.08 0.00 0.00 0.00 0.47 1.08 1.60 1.86 1.83 1.62 1.42 1.37 1.48 1.62 1.66 1.51 1.23 0.98 0.90 1.07 1.40 1.75 1.94 1.91 1.72 55.0 + 57.5 1.77 1.63 1.63 1.83 2.17 2.53 2.80 2.93 2.99 3.07 3.28 3.60 3.89 3.97 3.72 3.13 2.38 1.68 1.21 1.02 1.01 1.03 0.92 0.68 0.36 0.11 0.02 0.09 0.25 0.40 0.48 0.45 0.36 0.26 0.20 0.19 0.22 0.23 0.20 0.11 0.00 0.00 0.00 0.00 0.07 0.36 0.58 0.62 0.49 0.30 0.21 0.35 0.73 1.21 1.61 1.77 1.68 1.45 1.24 1.19 1.29 1.42 1.45 1.31 1.05 0.82 0.76 0.94 1.28 1.64 1.87 1.89 1.77 1.63 1.63 1.83 2.17 2.53 2.80 2.93 2.99 3.07 3.28 3.60 3.89 3.97 3.72 3.13 2.38 1.68 1.21 1.02 1.01 1.03 0.92 0.68 0.36 0.11 0.02 0.09 0.25 0.40 0.48 0.45 0.36 0.26 0.20 0.19 0.22 0.23 0.20 0.11 0.00 0.00 0.00 0.00 0.07 0.36 0.58 0.62 0.49 0.30 0.21 0.35 0.73 1.21 1.61 1.77 1.68 1.45 1.24 1.19 1.29 1.42 1.45 1.31 1.05 0.82 0.76 0.94 1.28 1.64 1.87 1.89 1.77 57.5 + 60.0 1.79 1.70 1.71 1.87 2.16 2.46 2.67 2.72 2.67 2.62 2.67 2.83 3.03 3.12 2.98 2.56 1.98 1.41 1.02 0.86 0.88 0.93 0.89 0.71 0.44 0.20 0.09 0.15 0.32 0.52 0.67 0.74 0.74 0.69 0.66 0.65 0.66 0.67 0.64 0.54 0.39 0.25 0.19 0.27 0.50 0.79 1.02 1.08 0.96 0.77 0.65 0.73 1.02 1.40 1.69 1.77 1.62 1.34 1.10 1.00 1.04 1.12 1.13 0.99 0.76 0.57 0.55 0.75 1.12 1.50 1.77 1.85 1.79 1.70 1.71 1.87 2.16 2.46 2.67 2.72 2.67 2.62 2.67 2.83 3.03 3.12 2.98 2.56 1.98 1.41 1.02 0.86 0.88 0.93 0.89 0.71 0.44 0.20 0.09 0.15 0.32 0.52 0.67 0.74 0.74 0.69 0.66 0.65 0.66 0.67 0.64 0.54 0.39 0.25 0.19 0.27 0.50 0.79 1.02 1.08 0.96 0.77 0.65 0.73 1.02 1.40 1.69 1.77 1.62 1.34 1.10 1.00 1.04 1.12 1.13 0.99 0.76 0.57 0.55 0.75 1.12 1.50 1.77 1.85 1.79 60.0 + 62.5 1.75 1.70 1.71 1.83 2.06 2.30 2.45 2.45 2.33 2.17 2.07 2.10 2.22 2.31 2.25 1.98 1.57 1.13 0.82 0.70 0.75 0.86 0.89 0.79 0.59 0.38 0.26 0.29 0.47 0.71 0.94 1.09 1.16 1.16 1.13 1.10 1.10 1.09 1.04 0.93 0.77 0.60 0.51 0.57 0.77 1.04 1.27 1.33 1.21 1.01 0.85 0.88 1.09 1.40 1.63 1.67 1.48 1.18 0.90 0.74 0.73 0.76 0.73 0.59 0.40 0.25 0.27 0.50 0.88 1.29 1.60 1.75 1.75 1.70 1.71 1.83 2.06 2.30 2.45 2.45 2.33 2.17 2.07 2.10 2.22 2.31 2.25 1.98 1.57 1.13 0.82 0.70 0.75 0.86 0.89 0.79 0.59 0.38 0.26 0.29 0.47 0.71 0.94 1.09 1.16 1.16 1.13 1.10 1.10 1.09 1.04 0.93 0.77 0.60 0.51 0.57 0.77 1.04 1.27 1.33 1.21 1.01 0.85 0.88 1.09 1.40 1.63 1.67 1.48 1.18 0.90 0.74 0.73 0.76 0.73 0.59 0.40 0.25 0.27 0.50 0.88 1.29 1.60 1.75 1.75 62.5 + 65.0 1.65 1.65 1.67 1.76 1.94 2.12 2.23 2.21 2.05 1.82 1.64 1.56 1.60 1.68 1.68 1.53 1.23 0.89 0.64 0.55 0.62 0.77 0.87 0.85 0.71 0.52 0.39 0.40 0.56 0.82 1.10 1.32 1.44 1.47 1.43 1.38 1.34 1.30 1.23 1.11 0.92 0.73 0.60 0.61 0.77 1.01 1.21 1.26 1.14 0.91 0.72 0.69 0.86 1.12 1.33 1.37 1.21 0.92 0.63 0.45 0.38 0.38 0.34 0.22 0.05 0.00 0.00 0.21 0.59 1.01 1.36 1.58 1.65 1.65 1.67 1.76 1.94 2.12 2.23 2.21 2.05 1.82 1.64 1.56 1.60 1.68 1.68 1.53 1.23 0.89 0.64 0.55 0.62 0.77 0.87 0.85 0.71 0.52 0.39 0.40 0.56 0.82 1.10 1.32 1.44 1.47 1.43 1.38 1.34 1.30 1.23 1.11 0.92 0.73 0.60 0.61 0.77 1.01 1.21 1.26 1.14 0.91 0.72 0.69 0.86 1.12 1.33 1.37 1.21 0.92 0.63 0.45 0.38 0.38 0.34 0.22 0.05 0.00 0.00 0.21 0.59 1.01 1.36 1.58 1.65 65.0 + 67.5 1.57 1.64 1.68 1.75 1.88 2.02 2.11 2.08 1.92 1.68 1.45 1.31 1.30 1.36 1.39 1.30 1.08 0.79 0.56 0.46 0.53 0.69 0.83 0.87 0.77 0.60 0.45 0.42 0.55 0.80 1.10 1.37 1.53 1.57 1.53 1.44 1.36 1.29 1.21 1.07 0.88 0.67 0.51 0.47 0.58 0.78 0.95 0.99 0.85 0.61 0.39 0.32 0.43 0.67 0.89 0.97 0.86 0.62 0.36 0.18 0.10 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.34 0.76 1.14 1.42 1.57 1.64 1.68 1.75 1.88 2.02 2.11 2.08 1.92 1.68 1.45 1.31 1.30 1.36 1.39 1.30 1.08 0.79 0.56 0.46 0.53 0.69 0.83 0.87 0.77 0.60 0.45 0.42 0.55 0.80 1.10 1.37 1.53 1.57 1.53 1.44 1.36 1.29 1.21 1.07 0.88 0.67 0.51 0.47 0.58 0.78 0.95 0.99 0.85 0.61 0.39 0.32 0.43 0.67 0.89 0.97 0.86 0.62 0.36 0.18 0.10 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.34 0.76 1.14 1.42 1.57 67.5 + 70.0 1.61 1.74 1.81 1.87 1.95 2.04 2.11 2.09 1.95 1.74 1.51 1.36 1.33 1.37 1.41 1.35 1.17 0.90 0.66 0.54 0.57 0.72 0.87 0.93 0.86 0.68 0.51 0.43 0.50 0.73 1.03 1.31 1.50 1.56 1.51 1.41 1.29 1.19 1.09 0.96 0.77 0.56 0.39 0.32 0.39 0.55 0.69 0.73 0.60 0.35 0.12 0.01 0.09 0.30 0.52 0.64 0.60 0.42 0.21 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.64 1.04 1.38 1.61 1.74 1.81 1.87 1.95 2.04 2.11 2.09 1.95 1.74 1.51 1.36 1.33 1.37 1.41 1.35 1.17 0.90 0.66 0.54 0.57 0.72 0.87 0.93 0.86 0.68 0.51 0.43 0.50 0.73 1.03 1.31 1.50 1.56 1.51 1.41 1.29 1.19 1.09 0.96 0.77 0.56 0.39 0.32 0.39 0.55 0.69 0.73 0.60 0.35 0.12 0.01 0.09 0.30 0.52 0.64 0.60 0.42 0.21 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.64 1.04 1.38 1.61 70.0 + 72.5 1.83 2.01 2.10 2.13 2.15 2.19 2.21 2.19 2.08 1.91 1.73 1.60 1.57 1.61 1.65 1.61 1.45 1.20 0.95 0.81 0.81 0.92 1.06 1.11 1.04 0.86 0.66 0.54 0.57 0.75 1.03 1.32 1.53 1.61 1.57 1.44 1.30 1.16 1.04 0.91 0.74 0.55 0.39 0.31 0.34 0.48 0.61 0.66 0.57 0.36 0.13 0.00 0.03 0.19 0.40 0.54 0.55 0.44 0.27 0.13 0.05 0.03 0.02 0.00 0.00 0.00 0.00 0.07 0.35 0.72 1.14 1.53 1.83 2.01 2.10 2.13 2.15 2.19 2.21 2.19 2.08 1.91 1.73 1.60 1.57 1.61 1.65 1.61 1.45 1.20 0.95 0.81 0.81 0.92 1.06 1.11 1.04 0.86 0.66 0.54 0.57 0.75 1.03 1.32 1.53 1.61 1.57 1.44 1.30 1.16 1.04 0.91 0.74 0.55 0.39 0.31 0.34 0.48 0.61 0.66 0.57 0.36 0.13 0.00 0.03 0.19 0.40 0.54 0.55 0.44 0.27 0.13 0.05 0.03 0.02 0.00 0.00 0.00 0.00 0.07 0.35 0.72 1.14 1.53 1.83 72.5 + 75.0 2.17 2.38 2.46 2.45 2.40 2.36 2.33 2.28 2.19 2.07 1.94 1.86 1.85 1.89 1.94 1.90 1.76 1.53 1.31 1.17 1.16 1.25 1.35 1.39 1.32 1.15 0.95 0.82 0.81 0.96 1.21 1.49 1.71 1.82 1.79 1.66 1.49 1.31 1.15 1.00 0.84 0.66 0.51 0.43 0.46 0.57 0.71 0.80 0.77 0.63 0.44 0.31 0.30 0.40 0.56 0.68 0.72 0.65 0.53 0.39 0.30 0.25 0.23 0.21 0.19 0.18 0.23 0.37 0.62 0.99 1.42 1.83 2.17 2.38 2.46 2.45 2.40 2.36 2.33 2.28 2.19 2.07 1.94 1.86 1.85 1.89 1.94 1.90 1.76 1.53 1.31 1.17 1.16 1.25 1.35 1.39 1.32 1.15 0.95 0.82 0.81 0.96 1.21 1.49 1.71 1.82 1.79 1.66 1.49 1.31 1.15 1.00 0.84 0.66 0.51 0.43 0.46 0.57 0.71 0.80 0.77 0.63 0.44 0.31 0.30 0.40 0.56 0.68 0.72 0.65 0.53 0.39 0.30 0.25 0.23 0.21 0.19 0.18 0.23 0.37 0.62 0.99 1.42 1.83 2.17 75.0 + 77.5 2.49 2.70 2.76 2.70 2.58 2.45 2.34 2.25 2.16 2.06 1.99 1.95 1.96 2.01 2.04 2.00 1.88 1.70 1.54 1.44 1.45 1.53 1.62 1.65 1.59 1.45 1.29 1.18 1.17 1.30 1.52 1.79 2.02 2.15 2.15 2.03 1.83 1.60 1.38 1.18 1.00 0.82 0.68 0.59 0.60 0.70 0.85 0.98 1.03 0.98 0.87 0.75 0.70 0.74 0.84 0.93 0.98 0.95 0.85 0.72 0.60 0.51 0.46 0.43 0.43 0.46 0.54 0.69 0.95 1.31 1.73 2.15 2.49 2.70 2.76 2.70 2.58 2.45 2.34 2.25 2.16 2.06 1.99 1.95 1.96 2.01 2.04 2.00 1.88 1.70 1.54 1.44 1.45 1.53 1.62 1.65 1.59 1.45 1.29 1.18 1.17 1.30 1.52 1.79 2.02 2.15 2.15 2.03 1.83 1.60 1.38 1.18 1.00 0.82 0.68 0.59 0.60 0.70 0.85 0.98 1.03 0.98 0.87 0.75 0.70 0.74 0.84 0.93 0.98 0.95 0.85 0.72 0.60 0.51 0.46 0.43 0.43 0.46 0.54 0.69 0.95 1.31 1.73 2.15 2.49 77.5 + 80.0 2.65 2.83 2.86 2.75 2.56 2.36 2.17 2.03 1.92 1.84 1.79 1.79 1.81 1.85 1.84 1.79 1.67 1.55 1.45 1.43 1.49 1.58 1.66 1.69 1.65 1.57 1.48 1.44 1.47 1.60 1.82 2.07 2.31 2.47 2.51 2.41 2.20 1.92 1.63 1.35 1.12 0.91 0.75 0.65 0.64 0.71 0.84 1.00 1.12 1.16 1.13 1.05 0.98 0.96 1.00 1.06 1.12 1.12 1.07 0.96 0.82 0.68 0.59 0.55 0.56 0.62 0.74 0.92 1.19 1.53 1.93 2.33 2.65 2.83 2.86 2.75 2.56 2.36 2.17 2.03 1.92 1.84 1.79 1.79 1.81 1.85 1.84 1.79 1.67 1.55 1.45 1.43 1.49 1.58 1.66 1.69 1.65 1.57 1.48 1.44 1.47 1.60 1.82 2.07 2.31 2.47 2.51 2.41 2.20 1.92 1.63 1.35 1.12 0.91 0.75 0.65 0.64 0.71 0.84 1.00 1.12 1.16 1.13 1.05 0.98 0.96 1.00 1.06 1.12 1.12 1.07 0.96 0.82 0.68 0.59 0.55 0.56 0.62 0.74 0.92 1.19 1.53 1.93 2.33 2.65 80.0 + 82.5 2.57 2.71 2.70 2.56 2.33 2.07 1.83 1.63 1.50 1.42 1.40 1.41 1.43 1.43 1.38 1.28 1.16 1.06 1.03 1.09 1.20 1.32 1.40 1.44 1.42 1.40 1.39 1.44 1.53 1.69 1.91 2.16 2.41 2.62 2.71 2.66 2.47 2.16 1.81 1.46 1.16 0.91 0.71 0.58 0.52 0.53 0.63 0.77 0.92 1.03 1.06 1.02 0.95 0.89 0.87 0.91 0.98 1.05 1.05 0.99 0.86 0.70 0.58 0.51 0.53 0.63 0.78 1.00 1.27 1.60 1.96 2.30 2.57 2.71 2.70 2.56 2.33 2.07 1.83 1.63 1.50 1.42 1.40 1.41 1.43 1.43 1.38 1.28 1.16 1.06 1.03 1.09 1.20 1.32 1.40 1.44 1.42 1.40 1.39 1.44 1.53 1.69 1.91 2.16 2.41 2.62 2.71 2.66 2.47 2.16 1.81 1.46 1.16 0.91 0.71 0.58 0.52 0.53 0.63 0.77 0.92 1.03 1.06 1.02 0.95 0.89 0.87 0.91 0.98 1.05 1.05 0.99 0.86 0.70 0.58 0.51 0.53 0.63 0.78 1.00 1.27 1.60 1.96 2.30 2.57 82.5 + 85.0 2.31 2.40 2.35 2.19 1.94 1.65 1.38 1.16 1.00 0.93 0.92 0.95 0.97 0.93 0.83 0.67 0.52 0.43 0.44 0.55 0.70 0.84 0.92 0.95 0.95 0.96 1.03 1.14 1.30 1.49 1.72 1.98 2.25 2.51 2.69 2.72 2.59 2.31 1.93 1.53 1.17 0.87 0.64 0.47 0.35 0.29 0.31 0.40 0.53 0.66 0.73 0.71 0.63 0.53 0.48 0.50 0.60 0.73 0.81 0.82 0.73 0.59 0.45 0.38 0.41 0.52 0.71 0.95 1.23 1.53 1.84 2.11 2.31 2.40 2.35 2.19 1.94 1.65 1.38 1.16 1.00 0.93 0.92 0.95 0.97 0.93 0.83 0.67 0.52 0.43 0.44 0.55 0.70 0.84 0.92 0.95 0.95 0.96 1.03 1.14 1.30 1.49 1.72 1.98 2.25 2.51 2.69 2.72 2.59 2.31 1.93 1.53 1.17 0.87 0.64 0.47 0.35 0.29 0.31 0.40 0.53 0.66 0.73 0.71 0.63 0.53 0.48 0.50 0.60 0.73 0.81 0.82 0.73 0.59 0.45 0.38 0.41 0.52 0.71 0.95 1.23 1.53 1.84 2.11 2.31 85.0 + 87.5 2.05 2.07 1.98 1.79 1.54 1.25 0.97 0.74 0.58 0.51 0.52 0.57 0.60 0.56 0.42 0.23 0.04 0.00 0.00 0.08 0.25 0.39 0.45 0.45 0.43 0.45 0.54 0.69 0.88 1.10 1.33 1.60 1.90 2.22 2.49 2.63 2.60 2.40 2.05 1.65 1.27 0.95 0.69 0.47 0.30 0.17 0.10 0.11 0.19 0.30 0.36 0.35 0.25 0.12 0.03 0.04 0.16 0.33 0.50 0.57 0.54 0.44 0.32 0.26 0.30 0.43 0.65 0.91 1.19 1.46 1.72 1.92 2.05 2.07 1.98 1.79 1.54 1.25 0.97 0.74 0.58 0.51 0.52 0.57 0.60 0.56 0.42 0.23 0.04 0.00 0.00 0.08 0.25 0.39 0.45 0.45 0.43 0.45 0.54 0.69 0.88 1.10 1.33 1.60 1.90 2.22 2.49 2.63 2.60 2.40 2.05 1.65 1.27 0.95 0.69 0.47 0.30 0.17 0.10 0.11 0.19 0.30 0.36 0.35 0.25 0.12 0.03 0.04 0.16 0.33 0.50 0.57 0.54 0.44 0.32 0.26 0.30 0.43 0.65 0.91 1.19 1.46 1.72 1.92 2.05 87.5 + 90.0 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 90.0 + + 10.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.80 FMAX-I = 5.80 ) PHI2 = 10. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 0.0 + 2.5 1.55 1.31 1.08 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.51 0.66 0.86 1.07 1.29 1.53 1.77 1.99 2.16 2.23 2.17 2.02 1.80 1.56 1.33 1.10 0.89 0.69 0.54 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.52 0.70 0.90 1.12 1.35 1.59 1.84 2.08 2.25 2.31 2.24 2.05 1.81 1.55 1.31 1.08 0.87 0.67 0.50 0.39 0.35 0.35 0.33 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.27 0.38 0.41 0.41 0.43 0.51 0.66 0.86 1.07 1.29 1.53 1.77 1.99 2.16 2.23 2.17 2.02 1.80 1.56 1.33 1.10 0.89 0.69 0.54 0.44 0.41 0.41 0.38 0.26 0.06 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.52 0.70 0.90 1.12 1.35 1.59 1.84 2.08 2.25 2.31 2.24 2.05 1.81 1.55 2.5 + 5.0 1.52 1.23 0.98 0.75 0.55 0.38 0.27 0.24 0.27 0.30 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.47 0.48 0.43 0.40 0.43 0.53 0.70 0.91 1.16 1.41 1.67 1.91 2.08 2.16 2.13 1.99 1.78 1.53 1.28 1.03 0.80 0.62 0.50 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.30 0.30 0.36 0.49 0.67 0.89 1.13 1.38 1.66 1.96 2.23 2.42 2.47 2.36 2.13 1.83 1.52 1.23 0.98 0.75 0.55 0.38 0.27 0.24 0.27 0.30 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.47 0.48 0.43 0.40 0.43 0.53 0.70 0.91 1.16 1.41 1.67 1.91 2.08 2.16 2.13 1.99 1.78 1.53 1.28 1.03 0.80 0.62 0.50 0.45 0.46 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.26 0.30 0.30 0.30 0.36 0.49 0.67 0.89 1.13 1.38 1.66 1.96 2.23 2.42 2.47 2.36 2.13 1.83 1.52 5.0 + 7.5 1.39 1.06 0.79 0.57 0.37 0.21 0.10 0.08 0.13 0.21 0.26 0.24 0.13 0.00 0.00 0.00 0.00 0.19 0.38 0.49 0.49 0.41 0.31 0.26 0.30 0.44 0.66 0.93 1.21 1.48 1.71 1.89 1.98 1.97 1.86 1.66 1.41 1.13 0.85 0.61 0.45 0.38 0.40 0.46 0.51 0.47 0.34 0.13 0.00 0.00 0.00 0.00 0.11 0.24 0.30 0.29 0.26 0.26 0.33 0.48 0.67 0.89 1.12 1.39 1.71 2.05 2.36 2.56 2.60 2.45 2.15 1.77 1.39 1.06 0.79 0.57 0.37 0.21 0.10 0.08 0.13 0.21 0.26 0.24 0.13 0.00 0.00 0.00 0.00 0.19 0.38 0.49 0.49 0.41 0.31 0.26 0.30 0.44 0.66 0.93 1.21 1.48 1.71 1.89 1.98 1.97 1.86 1.66 1.41 1.13 0.85 0.61 0.45 0.38 0.40 0.46 0.51 0.47 0.34 0.13 0.00 0.00 0.00 0.00 0.11 0.24 0.30 0.29 0.26 0.26 0.33 0.48 0.67 0.89 1.12 1.39 1.71 2.05 2.36 2.56 2.60 2.45 2.15 1.77 1.39 7.5 + 10.0 1.16 0.80 0.54 0.34 0.17 0.03 0.00 0.00 0.00 0.05 0.16 0.20 0.14 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.39 0.29 0.14 0.03 0.01 0.13 0.35 0.63 0.92 1.19 1.40 1.56 1.66 1.67 1.60 1.43 1.17 0.87 0.57 0.32 0.19 0.18 0.26 0.38 0.45 0.41 0.25 0.04 0.00 0.00 0.00 0.08 0.25 0.35 0.36 0.31 0.26 0.28 0.38 0.54 0.72 0.91 1.11 1.37 1.68 2.04 2.37 2.58 2.59 2.39 2.03 1.58 1.16 0.80 0.54 0.34 0.17 0.03 0.00 0.00 0.00 0.05 0.16 0.20 0.14 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.39 0.29 0.14 0.03 0.01 0.13 0.35 0.63 0.92 1.19 1.40 1.56 1.66 1.67 1.60 1.43 1.17 0.87 0.57 0.32 0.19 0.18 0.26 0.38 0.45 0.41 0.25 0.04 0.00 0.00 0.00 0.08 0.25 0.35 0.36 0.31 0.26 0.28 0.38 0.54 0.72 0.91 1.11 1.37 1.68 2.04 2.37 2.58 2.59 2.39 2.03 1.58 1.16 10.0 + 12.5 0.84 0.49 0.26 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.22 0.14 0.00 0.00 0.00 0.00 0.07 0.36 0.65 0.89 1.07 1.19 1.28 1.31 1.27 1.14 0.90 0.59 0.27 0.02 0.00 0.00 0.10 0.27 0.35 0.29 0.10 0.00 0.00 0.00 0.00 0.15 0.35 0.44 0.43 0.36 0.32 0.37 0.49 0.66 0.83 0.97 1.11 1.31 1.59 1.93 2.25 2.44 2.43 2.19 1.78 1.29 0.84 0.49 0.26 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.22 0.14 0.00 0.00 0.00 0.00 0.07 0.36 0.65 0.89 1.07 1.19 1.28 1.31 1.27 1.14 0.90 0.59 0.27 0.02 0.00 0.00 0.10 0.27 0.35 0.29 0.10 0.00 0.00 0.00 0.00 0.15 0.35 0.44 0.43 0.36 0.32 0.37 0.49 0.66 0.83 0.97 1.11 1.31 1.59 1.93 2.25 2.44 2.43 2.19 1.78 1.29 0.84 12.5 + 15.0 0.53 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.22 0.49 0.70 0.83 0.92 0.98 1.03 1.03 0.94 0.73 0.43 0.10 0.00 0.00 0.00 0.02 0.22 0.31 0.22 0.01 0.00 0.00 0.00 0.00 0.18 0.41 0.51 0.49 0.42 0.41 0.49 0.66 0.84 0.98 1.07 1.14 1.26 1.47 1.77 2.06 2.24 2.20 1.94 1.50 0.99 0.53 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.22 0.49 0.70 0.83 0.92 0.98 1.03 1.03 0.94 0.73 0.43 0.10 0.00 0.00 0.00 0.02 0.22 0.31 0.22 0.01 0.00 0.00 0.00 0.00 0.18 0.41 0.51 0.49 0.42 0.41 0.49 0.66 0.84 0.98 1.07 1.14 1.26 1.47 1.77 2.06 2.24 2.20 1.94 1.50 0.99 0.53 15.0 + 17.5 0.33 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.18 0.01 0.00 0.00 0.00 0.00 0.27 0.53 0.71 0.81 0.86 0.91 0.97 0.99 0.94 0.77 0.48 0.16 0.00 0.00 0.00 0.10 0.32 0.40 0.30 0.06 0.00 0.00 0.00 0.00 0.24 0.48 0.57 0.55 0.48 0.49 0.61 0.81 1.02 1.16 1.21 1.22 1.26 1.41 1.65 1.91 2.07 2.03 1.76 1.31 0.79 0.33 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.18 0.01 0.00 0.00 0.00 0.00 0.27 0.53 0.71 0.81 0.86 0.91 0.97 0.99 0.94 0.77 0.48 0.16 0.00 0.00 0.00 0.10 0.32 0.40 0.30 0.06 0.00 0.00 0.00 0.00 0.24 0.48 0.57 0.55 0.48 0.49 0.61 0.81 1.02 1.16 1.21 1.22 1.26 1.41 1.65 1.91 2.07 2.03 1.76 1.31 0.79 0.33 17.5 + 20.0 0.31 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.22 0.27 0.15 0.00 0.00 0.00 0.00 0.00 0.31 0.51 0.50 0.33 0.11 0.00 0.02 0.23 0.50 0.75 0.91 0.99 1.02 1.05 1.11 1.16 1.14 0.99 0.72 0.40 0.13 0.02 0.09 0.30 0.53 0.62 0.52 0.26 0.00 0.00 0.00 0.05 0.35 0.58 0.67 0.63 0.55 0.56 0.70 0.94 1.18 1.34 1.39 1.36 1.35 1.44 1.63 1.86 2.02 2.00 1.74 1.30 0.78 0.31 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.22 0.27 0.15 0.00 0.00 0.00 0.00 0.00 0.31 0.51 0.50 0.33 0.11 0.00 0.02 0.23 0.50 0.75 0.91 0.99 1.02 1.05 1.11 1.16 1.14 0.99 0.72 0.40 0.13 0.02 0.09 0.30 0.53 0.62 0.52 0.26 0.00 0.00 0.00 0.05 0.35 0.58 0.67 0.63 0.55 0.56 0.70 0.94 1.18 1.34 1.39 1.36 1.35 1.44 1.63 1.86 2.02 2.00 1.74 1.30 0.78 0.31 20.0 + 22.5 0.45 0.14 0.03 0.06 0.15 0.19 0.14 0.07 0.05 0.17 0.39 0.62 0.74 0.67 0.44 0.18 0.06 0.15 0.43 0.74 0.94 0.92 0.73 0.48 0.31 0.33 0.51 0.77 1.02 1.17 1.23 1.25 1.27 1.33 1.38 1.37 1.25 1.00 0.68 0.40 0.25 0.30 0.49 0.72 0.84 0.77 0.52 0.22 0.03 0.03 0.23 0.52 0.76 0.84 0.78 0.69 0.67 0.80 1.06 1.33 1.53 1.59 1.56 1.51 1.55 1.69 1.90 2.07 2.07 1.86 1.44 0.92 0.45 0.14 0.03 0.06 0.15 0.19 0.14 0.07 0.05 0.17 0.39 0.62 0.74 0.67 0.44 0.18 0.06 0.15 0.43 0.74 0.94 0.92 0.73 0.48 0.31 0.33 0.51 0.77 1.02 1.17 1.23 1.25 1.27 1.33 1.38 1.37 1.25 1.00 0.68 0.40 0.25 0.30 0.49 0.72 0.84 0.77 0.52 0.22 0.03 0.03 0.23 0.52 0.76 0.84 0.78 0.69 0.67 0.80 1.06 1.33 1.53 1.59 1.56 1.51 1.55 1.69 1.90 2.07 2.07 1.86 1.44 0.92 0.45 22.5 + 25.0 0.66 0.35 0.25 0.31 0.43 0.49 0.46 0.39 0.38 0.51 0.77 1.06 1.23 1.20 0.97 0.70 0.54 0.59 0.82 1.11 1.27 1.24 1.01 0.73 0.53 0.51 0.67 0.91 1.14 1.28 1.34 1.35 1.36 1.40 1.45 1.44 1.34 1.11 0.81 0.52 0.35 0.36 0.53 0.77 0.92 0.90 0.71 0.44 0.24 0.24 0.44 0.75 1.02 1.14 1.09 0.97 0.92 1.00 1.23 1.52 1.74 1.82 1.78 1.70 1.68 1.77 1.95 2.13 2.17 2.00 1.62 1.12 0.66 0.35 0.25 0.31 0.43 0.49 0.46 0.39 0.38 0.51 0.77 1.06 1.23 1.20 0.97 0.70 0.54 0.59 0.82 1.11 1.27 1.24 1.01 0.73 0.53 0.51 0.67 0.91 1.14 1.28 1.34 1.35 1.36 1.40 1.45 1.44 1.34 1.11 0.81 0.52 0.35 0.36 0.53 0.77 0.92 0.90 0.71 0.44 0.24 0.24 0.44 0.75 1.02 1.14 1.09 0.97 0.92 1.00 1.23 1.52 1.74 1.82 1.78 1.70 1.68 1.77 1.95 2.13 2.17 2.00 1.62 1.12 0.66 25.0 + 27.5 0.84 0.56 0.49 0.59 0.74 0.82 0.79 0.71 0.69 0.82 1.09 1.40 1.59 1.55 1.30 0.98 0.77 0.76 0.95 1.19 1.33 1.27 1.03 0.73 0.50 0.45 0.57 0.78 0.99 1.13 1.18 1.18 1.17 1.19 1.23 1.23 1.16 0.98 0.71 0.43 0.24 0.22 0.37 0.61 0.82 0.88 0.76 0.54 0.38 0.41 0.66 1.05 1.41 1.62 1.62 1.50 1.38 1.38 1.54 1.78 1.99 2.06 1.99 1.86 1.76 1.79 1.93 2.11 2.19 2.07 1.74 1.28 0.84 0.56 0.49 0.59 0.74 0.82 0.79 0.71 0.69 0.82 1.09 1.40 1.59 1.55 1.30 0.98 0.77 0.76 0.95 1.19 1.33 1.27 1.03 0.73 0.50 0.45 0.57 0.78 0.99 1.13 1.18 1.18 1.17 1.19 1.23 1.23 1.16 0.98 0.71 0.43 0.24 0.22 0.37 0.61 0.82 0.88 0.76 0.54 0.38 0.41 0.66 1.05 1.41 1.62 1.62 1.50 1.38 1.38 1.54 1.78 1.99 2.06 1.99 1.86 1.76 1.79 1.93 2.11 2.19 2.07 1.74 1.28 0.84 27.5 + 30.0 0.94 0.71 0.69 0.85 1.04 1.14 1.10 0.99 0.94 1.04 1.29 1.58 1.74 1.66 1.35 0.95 0.66 0.59 0.72 0.94 1.07 1.01 0.76 0.45 0.21 0.14 0.23 0.42 0.60 0.73 0.77 0.75 0.73 0.74 0.77 0.81 0.79 0.68 0.47 0.22 0.03 0.00 0.11 0.37 0.63 0.77 0.74 0.60 0.49 0.58 0.91 1.42 1.94 2.30 2.40 2.28 2.08 1.97 2.00 2.14 2.28 2.31 2.18 1.96 1.78 1.72 1.82 1.99 2.10 2.03 1.75 1.34 0.94 0.71 0.69 0.85 1.04 1.14 1.10 0.99 0.94 1.04 1.29 1.58 1.74 1.66 1.35 0.95 0.66 0.59 0.72 0.94 1.07 1.01 0.76 0.45 0.21 0.14 0.23 0.42 0.60 0.73 0.77 0.75 0.73 0.74 0.77 0.81 0.79 0.68 0.47 0.22 0.03 0.00 0.11 0.37 0.63 0.77 0.74 0.60 0.49 0.58 0.91 1.42 1.94 2.30 2.40 2.28 2.08 1.97 2.00 2.14 2.28 2.31 2.18 1.96 1.78 1.72 1.82 1.99 2.10 2.03 1.75 1.34 0.94 30.0 + 32.5 0.99 0.80 0.84 1.05 1.29 1.41 1.36 1.22 1.13 1.20 1.42 1.66 1.76 1.60 1.19 0.69 0.31 0.18 0.28 0.49 0.62 0.57 0.34 0.04 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.27 0.24 0.24 0.30 0.38 0.44 0.42 0.30 0.11 0.00 0.00 0.00 0.22 0.53 0.74 0.80 0.72 0.67 0.81 1.23 1.89 2.60 3.13 3.34 3.24 2.97 2.71 2.57 2.56 2.59 2.52 2.31 2.01 1.73 1.59 1.64 1.82 1.96 1.95 1.72 1.35 0.99 0.80 0.84 1.05 1.29 1.41 1.36 1.22 1.13 1.20 1.42 1.66 1.76 1.60 1.19 0.69 0.31 0.18 0.28 0.49 0.62 0.57 0.34 0.04 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.27 0.24 0.24 0.30 0.38 0.44 0.42 0.30 0.11 0.00 0.00 0.00 0.22 0.53 0.74 0.80 0.72 0.67 0.81 1.23 1.89 2.60 3.13 3.34 3.24 2.97 2.71 2.57 2.56 2.59 2.52 2.31 2.01 1.73 1.59 1.64 1.82 1.96 1.95 1.72 1.35 0.99 32.5 + 35.0 1.04 0.87 0.95 1.20 1.47 1.61 1.57 1.42 1.31 1.37 1.57 1.78 1.82 1.57 1.05 0.45 0.00 0.00 0.00 0.09 0.24 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.05 0.19 0.34 0.42 0.39 0.25 0.07 0.00 0.06 0.31 0.65 0.92 1.03 1.00 0.97 1.14 1.64 2.41 3.28 3.98 4.31 4.23 3.87 3.45 3.13 2.96 2.85 2.68 2.39 2.00 1.65 1.47 1.51 1.70 1.89 1.92 1.72 1.38 1.04 0.87 0.95 1.20 1.47 1.61 1.57 1.42 1.31 1.37 1.57 1.78 1.82 1.57 1.05 0.45 0.00 0.00 0.00 0.09 0.24 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.05 0.19 0.34 0.42 0.39 0.25 0.07 0.00 0.06 0.31 0.65 0.92 1.03 1.00 0.97 1.14 1.64 2.41 3.28 3.98 4.31 4.23 3.87 3.45 3.13 2.96 2.85 2.68 2.39 2.00 1.65 1.47 1.51 1.70 1.89 1.92 1.72 1.38 1.04 35.0 + 37.5 1.15 0.97 1.04 1.30 1.59 1.75 1.73 1.61 1.54 1.63 1.85 2.07 2.08 1.77 1.16 0.47 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.04 0.16 0.36 0.58 0.73 0.77 0.66 0.48 0.36 0.40 0.63 0.97 1.27 1.41 1.39 1.36 1.52 2.02 2.86 3.84 4.65 5.07 5.00 4.58 4.03 3.55 3.22 3.00 2.75 2.40 1.98 1.60 1.41 1.47 1.70 1.94 2.02 1.85 1.50 1.15 0.97 1.04 1.30 1.59 1.75 1.73 1.61 1.54 1.63 1.85 2.07 2.08 1.77 1.16 0.47 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.04 0.16 0.36 0.58 0.73 0.77 0.66 0.48 0.36 0.40 0.63 0.97 1.27 1.41 1.39 1.36 1.52 2.02 2.86 3.84 4.65 5.07 5.00 4.58 4.03 3.55 3.22 3.00 2.75 2.40 1.98 1.60 1.41 1.47 1.70 1.94 2.02 1.85 1.50 1.15 37.5 + 40.0 1.34 1.12 1.15 1.40 1.69 1.88 1.91 1.85 1.86 2.03 2.34 2.61 2.64 2.29 1.63 0.85 0.23 0.00 0.00 0.22 0.41 0.41 0.23 0.00 0.00 0.00 0.00 0.13 0.35 0.49 0.51 0.46 0.41 0.43 0.55 0.77 1.02 1.21 1.26 1.15 0.95 0.79 0.79 0.99 1.32 1.63 1.77 1.73 1.66 1.77 2.23 3.07 4.07 4.95 5.41 5.36 4.90 4.27 3.69 3.28 2.99 2.71 2.35 1.93 1.57 1.41 1.52 1.82 2.12 2.24 2.09 1.73 1.34 1.12 1.15 1.40 1.69 1.88 1.91 1.85 1.86 2.03 2.34 2.61 2.64 2.29 1.63 0.85 0.23 0.00 0.00 0.22 0.41 0.41 0.23 0.00 0.00 0.00 0.00 0.13 0.35 0.49 0.51 0.46 0.41 0.43 0.55 0.77 1.02 1.21 1.26 1.15 0.95 0.79 0.79 0.99 1.32 1.63 1.77 1.73 1.66 1.77 2.23 3.07 4.07 4.95 5.41 5.36 4.90 4.27 3.69 3.28 2.99 2.71 2.35 1.93 1.57 1.41 1.52 1.82 2.12 2.24 2.09 1.73 1.34 40.0 + 42.5 1.57 1.30 1.29 1.51 1.81 2.03 2.13 2.17 2.29 2.58 3.01 3.37 3.44 3.10 2.39 1.55 0.86 0.52 0.53 0.74 0.93 0.93 0.73 0.46 0.27 0.26 0.43 0.70 0.94 1.06 1.06 0.98 0.90 0.88 0.98 1.18 1.41 1.57 1.60 1.46 1.23 1.03 0.99 1.16 1.47 1.76 1.88 1.82 1.69 1.73 2.12 2.90 3.87 4.75 5.23 5.21 4.76 4.12 3.53 3.11 2.84 2.58 2.26 1.88 1.56 1.45 1.61 1.97 2.33 2.49 2.36 1.99 1.57 1.30 1.29 1.51 1.81 2.03 2.13 2.17 2.29 2.58 3.01 3.37 3.44 3.10 2.39 1.55 0.86 0.52 0.53 0.74 0.93 0.93 0.73 0.46 0.27 0.26 0.43 0.70 0.94 1.06 1.06 0.98 0.90 0.88 0.98 1.18 1.41 1.57 1.60 1.46 1.23 1.03 0.99 1.16 1.47 1.76 1.88 1.82 1.69 1.73 2.12 2.90 3.87 4.75 5.23 5.21 4.76 4.12 3.53 3.11 2.84 2.58 2.26 1.88 1.56 1.45 1.61 1.97 2.33 2.49 2.36 1.99 1.57 42.5 + 45.0 1.76 1.47 1.45 1.66 1.98 2.25 2.42 2.56 2.80 3.21 3.75 4.20 4.34 4.02 3.29 2.39 1.63 1.21 1.16 1.33 1.48 1.46 1.25 0.96 0.76 0.75 0.93 1.20 1.43 1.53 1.48 1.35 1.21 1.15 1.19 1.33 1.50 1.61 1.58 1.40 1.14 0.92 0.85 1.00 1.28 1.55 1.65 1.56 1.39 1.36 1.67 2.35 3.26 4.10 4.58 4.59 4.20 3.63 3.12 2.78 2.58 2.40 2.14 1.82 1.54 1.46 1.66 2.05 2.45 2.65 2.55 2.19 1.76 1.47 1.45 1.66 1.98 2.25 2.42 2.56 2.80 3.21 3.75 4.20 4.34 4.02 3.29 2.39 1.63 1.21 1.16 1.33 1.48 1.46 1.25 0.96 0.76 0.75 0.93 1.20 1.43 1.53 1.48 1.35 1.21 1.15 1.19 1.33 1.50 1.61 1.58 1.40 1.14 0.92 0.85 1.00 1.28 1.55 1.65 1.56 1.39 1.36 1.67 2.35 3.26 4.10 4.58 4.59 4.20 3.63 3.12 2.78 2.58 2.40 2.14 1.82 1.54 1.46 1.66 2.05 2.45 2.65 2.55 2.19 1.76 45.0 + 47.5 1.87 1.61 1.61 1.85 2.20 2.53 2.77 3.00 3.32 3.82 4.43 4.95 5.13 4.84 4.10 3.16 2.33 1.82 1.68 1.77 1.88 1.82 1.58 1.27 1.05 1.02 1.18 1.43 1.62 1.67 1.58 1.39 1.20 1.08 1.07 1.14 1.24 1.27 1.19 0.99 0.72 0.50 0.44 0.58 0.84 1.08 1.17 1.06 0.86 0.79 1.02 1.61 2.42 3.19 3.66 3.70 3.40 2.95 2.57 2.37 2.29 2.21 2.02 1.74 1.49 1.42 1.61 2.00 2.42 2.65 2.58 2.26 1.87 1.61 1.61 1.85 2.20 2.53 2.77 3.00 3.32 3.82 4.43 4.95 5.13 4.84 4.10 3.16 2.33 1.82 1.68 1.77 1.88 1.82 1.58 1.27 1.05 1.02 1.18 1.43 1.62 1.67 1.58 1.39 1.20 1.08 1.07 1.14 1.24 1.27 1.19 0.99 0.72 0.50 0.44 0.58 0.84 1.08 1.17 1.06 0.86 0.79 1.02 1.61 2.42 3.19 3.66 3.70 3.40 2.95 2.57 2.37 2.29 2.21 2.02 1.74 1.49 1.42 1.61 2.00 2.42 2.65 2.58 2.26 1.87 47.5 + 50.0 1.89 1.70 1.76 2.05 2.45 2.83 3.13 3.41 3.77 4.29 4.91 5.45 5.66 5.38 4.66 3.71 2.81 2.22 1.98 1.98 2.02 1.92 1.65 1.32 1.07 1.02 1.14 1.34 1.48 1.49 1.35 1.13 0.90 0.75 0.70 0.72 0.75 0.74 0.63 0.43 0.19 0.01 0.00 0.12 0.37 0.60 0.68 0.57 0.36 0.26 0.43 0.93 1.64 2.32 2.75 2.81 2.59 2.27 2.04 1.97 2.01 2.02 1.90 1.64 1.39 1.30 1.45 1.82 2.22 2.47 2.46 2.21 1.89 1.70 1.76 2.05 2.45 2.83 3.13 3.41 3.77 4.29 4.91 5.45 5.66 5.38 4.66 3.71 2.81 2.22 1.98 1.98 2.02 1.92 1.65 1.32 1.07 1.02 1.14 1.34 1.48 1.49 1.35 1.13 0.90 0.75 0.70 0.72 0.75 0.74 0.63 0.43 0.19 0.01 0.00 0.12 0.37 0.60 0.68 0.57 0.36 0.26 0.43 0.93 1.64 2.32 2.75 2.81 2.59 2.27 2.04 1.97 2.01 2.02 1.90 1.64 1.39 1.30 1.45 1.82 2.22 2.47 2.46 2.21 1.89 50.0 + 52.5 1.85 1.74 1.87 2.21 2.66 3.08 3.41 3.70 4.04 4.51 5.09 5.59 5.80 5.56 4.88 3.95 3.04 2.39 2.06 1.97 1.94 1.80 1.52 1.18 0.91 0.81 0.89 1.04 1.15 1.13 0.98 0.75 0.53 0.38 0.31 0.30 0.31 0.28 0.18 0.01 0.00 0.00 0.00 0.00 0.13 0.35 0.43 0.33 0.13 0.02 0.13 0.54 1.14 1.71 2.08 2.14 1.97 1.74 1.61 1.65 1.77 1.84 1.75 1.51 1.24 1.11 1.23 1.55 1.93 2.20 2.23 2.07 1.85 1.74 1.87 2.21 2.66 3.08 3.41 3.70 4.04 4.51 5.09 5.59 5.80 5.56 4.88 3.95 3.04 2.39 2.06 1.97 1.94 1.80 1.52 1.18 0.91 0.81 0.89 1.04 1.15 1.13 0.98 0.75 0.53 0.38 0.31 0.30 0.31 0.28 0.18 0.01 0.00 0.00 0.00 0.00 0.13 0.35 0.43 0.33 0.13 0.02 0.13 0.54 1.14 1.71 2.08 2.14 1.97 1.74 1.61 1.65 1.77 1.84 1.75 1.51 1.24 1.11 1.23 1.55 1.93 2.20 2.23 2.07 1.85 52.5 + 55.0 1.75 1.73 1.92 2.30 2.77 3.20 3.53 3.78 4.05 4.43 4.90 5.33 5.52 5.33 4.74 3.90 3.03 2.36 1.99 1.83 1.75 1.59 1.31 0.98 0.70 0.57 0.60 0.72 0.81 0.81 0.69 0.50 0.32 0.19 0.13 0.13 0.14 0.12 0.04 0.00 0.00 0.00 0.00 0.00 0.20 0.43 0.51 0.43 0.26 0.13 0.20 0.52 1.00 1.47 1.75 1.77 1.60 1.40 1.32 1.39 1.54 1.62 1.54 1.30 1.02 0.87 0.95 1.24 1.60 1.88 1.97 1.89 1.75 1.73 1.92 2.30 2.77 3.20 3.53 3.78 4.05 4.43 4.90 5.33 5.52 5.33 4.74 3.90 3.03 2.36 1.99 1.83 1.75 1.59 1.31 0.98 0.70 0.57 0.60 0.72 0.81 0.81 0.69 0.50 0.32 0.19 0.13 0.13 0.14 0.12 0.04 0.00 0.00 0.00 0.00 0.00 0.20 0.43 0.51 0.43 0.26 0.13 0.20 0.52 1.00 1.47 1.75 1.77 1.60 1.40 1.32 1.39 1.54 1.62 1.54 1.30 1.02 0.87 0.95 1.24 1.60 1.88 1.97 1.89 1.75 55.0 + 57.5 1.63 1.67 1.88 2.27 2.74 3.15 3.44 3.63 3.80 4.04 4.37 4.70 4.88 4.75 4.29 3.58 2.82 2.20 1.81 1.63 1.53 1.39 1.14 0.83 0.56 0.42 0.42 0.52 0.63 0.67 0.62 0.51 0.39 0.31 0.27 0.28 0.29 0.28 0.23 0.14 0.05 0.00 0.06 0.24 0.50 0.73 0.83 0.77 0.61 0.47 0.49 0.73 1.11 1.47 1.67 1.64 1.44 1.22 1.12 1.16 1.28 1.33 1.24 1.00 0.73 0.58 0.65 0.92 1.27 1.57 1.70 1.69 1.63 1.67 1.88 2.27 2.74 3.15 3.44 3.63 3.80 4.04 4.37 4.70 4.88 4.75 4.29 3.58 2.82 2.20 1.81 1.63 1.53 1.39 1.14 0.83 0.56 0.42 0.42 0.52 0.63 0.67 0.62 0.51 0.39 0.31 0.27 0.28 0.29 0.28 0.23 0.14 0.05 0.00 0.06 0.24 0.50 0.73 0.83 0.77 0.61 0.47 0.49 0.73 1.11 1.47 1.67 1.64 1.44 1.22 1.12 1.16 1.28 1.33 1.24 1.00 0.73 0.58 0.65 0.92 1.27 1.57 1.70 1.69 1.63 57.5 + 60.0 1.48 1.55 1.77 2.14 2.56 2.93 3.17 3.29 3.35 3.44 3.62 3.84 3.99 3.93 3.61 3.07 2.46 1.92 1.58 1.41 1.32 1.22 1.03 0.77 0.53 0.39 0.38 0.47 0.61 0.73 0.77 0.76 0.72 0.67 0.65 0.65 0.66 0.65 0.60 0.51 0.42 0.36 0.40 0.56 0.80 1.02 1.14 1.09 0.94 0.79 0.77 0.93 1.23 1.52 1.66 1.58 1.35 1.09 0.93 0.90 0.95 0.97 0.86 0.63 0.38 0.25 0.32 0.59 0.94 1.25 1.43 1.47 1.48 1.55 1.77 2.14 2.56 2.93 3.17 3.29 3.35 3.44 3.62 3.84 3.99 3.93 3.61 3.07 2.46 1.92 1.58 1.41 1.32 1.22 1.03 0.77 0.53 0.39 0.38 0.47 0.61 0.73 0.77 0.76 0.72 0.67 0.65 0.65 0.66 0.65 0.60 0.51 0.42 0.36 0.40 0.56 0.80 1.02 1.14 1.09 0.94 0.79 0.77 0.93 1.23 1.52 1.66 1.58 1.35 1.09 0.93 0.90 0.95 0.97 0.86 0.63 0.38 0.25 0.32 0.59 0.94 1.25 1.43 1.47 1.48 60.0 + 62.5 1.31 1.41 1.63 1.95 2.32 2.63 2.81 2.86 2.82 2.78 2.83 2.94 3.05 3.05 2.87 2.50 2.04 1.61 1.32 1.18 1.13 1.08 0.96 0.78 0.58 0.44 0.42 0.51 0.69 0.87 1.02 1.10 1.13 1.11 1.09 1.06 1.04 1.01 0.94 0.83 0.70 0.60 0.59 0.71 0.91 1.12 1.24 1.20 1.05 0.88 0.82 0.93 1.18 1.43 1.54 1.46 1.21 0.92 0.70 0.61 0.59 0.56 0.45 0.24 0.03 0.00 0.01 0.27 0.61 0.93 1.14 1.25 1.31 1.41 1.63 1.95 2.32 2.63 2.81 2.86 2.82 2.78 2.83 2.94 3.05 3.05 2.87 2.50 2.04 1.61 1.32 1.18 1.13 1.08 0.96 0.78 0.58 0.44 0.42 0.51 0.69 0.87 1.02 1.10 1.13 1.11 1.09 1.06 1.04 1.01 0.94 0.83 0.70 0.60 0.59 0.71 0.91 1.12 1.24 1.20 1.05 0.88 0.82 0.93 1.18 1.43 1.54 1.46 1.21 0.92 0.70 0.61 0.59 0.56 0.45 0.24 0.03 0.00 0.01 0.27 0.61 0.93 1.14 1.25 1.31 62.5 + 65.0 1.17 1.31 1.52 1.80 2.11 2.36 2.49 2.48 2.37 2.25 2.18 2.20 2.28 2.32 2.24 2.01 1.69 1.35 1.11 0.99 0.97 0.98 0.94 0.81 0.65 0.52 0.48 0.56 0.75 0.98 1.21 1.37 1.45 1.46 1.41 1.35 1.28 1.21 1.11 0.97 0.81 0.66 0.60 0.65 0.81 0.99 1.10 1.06 0.90 0.71 0.62 0.69 0.91 1.15 1.28 1.22 1.00 0.71 0.47 0.33 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.32 0.63 0.88 1.05 1.17 1.31 1.52 1.80 2.11 2.36 2.49 2.48 2.37 2.25 2.18 2.20 2.28 2.32 2.24 2.01 1.69 1.35 1.11 0.99 0.97 0.98 0.94 0.81 0.65 0.52 0.48 0.56 0.75 0.98 1.21 1.37 1.45 1.46 1.41 1.35 1.28 1.21 1.11 0.97 0.81 0.66 0.60 0.65 0.81 0.99 1.10 1.06 0.90 0.71 0.62 0.69 0.91 1.15 1.28 1.22 1.00 0.71 0.47 0.33 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.32 0.63 0.88 1.05 1.17 65.0 + 67.5 1.16 1.34 1.55 1.79 2.03 2.22 2.30 2.27 2.13 1.96 1.83 1.80 1.84 1.90 1.90 1.77 1.54 1.27 1.05 0.94 0.94 0.97 0.98 0.90 0.77 0.62 0.55 0.59 0.77 1.02 1.30 1.52 1.64 1.65 1.58 1.47 1.35 1.24 1.12 0.97 0.79 0.62 0.51 0.52 0.63 0.78 0.87 0.83 0.66 0.46 0.34 0.38 0.56 0.80 0.96 0.95 0.79 0.54 0.31 0.16 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.45 0.73 0.96 1.16 1.34 1.55 1.79 2.03 2.22 2.30 2.27 2.13 1.96 1.83 1.80 1.84 1.90 1.90 1.77 1.54 1.27 1.05 0.94 0.94 0.97 0.98 0.90 0.77 0.62 0.55 0.59 0.77 1.02 1.30 1.52 1.64 1.65 1.58 1.47 1.35 1.24 1.12 0.97 0.79 0.62 0.51 0.52 0.63 0.78 0.87 0.83 0.66 0.46 0.34 0.38 0.56 0.80 0.96 0.95 0.79 0.54 0.31 0.16 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.45 0.73 0.96 1.16 67.5 + 70.0 1.32 1.55 1.76 1.96 2.12 2.25 2.30 2.25 2.12 1.95 1.82 1.76 1.79 1.87 1.90 1.83 1.66 1.43 1.22 1.11 1.09 1.14 1.16 1.11 0.98 0.82 0.70 0.69 0.82 1.06 1.34 1.59 1.74 1.77 1.68 1.52 1.36 1.21 1.07 0.93 0.77 0.61 0.49 0.47 0.55 0.66 0.74 0.71 0.56 0.36 0.22 0.22 0.37 0.58 0.76 0.80 0.70 0.52 0.32 0.19 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.17 0.45 0.76 1.05 1.32 1.55 1.76 1.96 2.12 2.25 2.30 2.25 2.12 1.95 1.82 1.76 1.79 1.87 1.90 1.83 1.66 1.43 1.22 1.11 1.09 1.14 1.16 1.11 0.98 0.82 0.70 0.69 0.82 1.06 1.34 1.59 1.74 1.77 1.68 1.52 1.36 1.21 1.07 0.93 0.77 0.61 0.49 0.47 0.55 0.66 0.74 0.71 0.56 0.36 0.22 0.22 0.37 0.58 0.76 0.80 0.70 0.52 0.32 0.19 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.17 0.45 0.76 1.05 1.32 70.0 + 72.5 1.66 1.92 2.13 2.27 2.36 2.41 2.42 2.37 2.26 2.13 2.03 1.99 2.03 2.11 2.16 2.13 1.99 1.79 1.60 1.48 1.46 1.49 1.51 1.46 1.33 1.15 1.00 0.94 1.01 1.21 1.47 1.73 1.89 1.92 1.82 1.64 1.43 1.25 1.10 0.97 0.84 0.71 0.62 0.59 0.64 0.74 0.83 0.82 0.71 0.54 0.40 0.37 0.46 0.64 0.80 0.87 0.82 0.69 0.55 0.43 0.36 0.33 0.30 0.24 0.18 0.13 0.13 0.22 0.40 0.67 0.99 1.33 1.66 1.92 2.13 2.27 2.36 2.41 2.42 2.37 2.26 2.13 2.03 1.99 2.03 2.11 2.16 2.13 1.99 1.79 1.60 1.48 1.46 1.49 1.51 1.46 1.33 1.15 1.00 0.94 1.01 1.21 1.47 1.73 1.89 1.92 1.82 1.64 1.43 1.25 1.10 0.97 0.84 0.71 0.62 0.59 0.64 0.74 0.83 0.82 0.71 0.54 0.40 0.37 0.46 0.64 0.80 0.87 0.82 0.69 0.55 0.43 0.36 0.33 0.30 0.24 0.18 0.13 0.13 0.22 0.40 0.67 0.99 1.33 1.66 72.5 + 75.0 2.07 2.35 2.52 2.60 2.61 2.58 2.53 2.47 2.40 2.32 2.27 2.27 2.32 2.41 2.46 2.44 2.34 2.18 2.02 1.93 1.91 1.93 1.94 1.89 1.76 1.59 1.42 1.33 1.36 1.51 1.74 1.98 2.15 2.18 2.09 1.88 1.64 1.42 1.24 1.10 0.99 0.89 0.82 0.80 0.84 0.94 1.04 1.08 1.03 0.93 0.82 0.77 0.81 0.91 1.03 1.10 1.09 1.01 0.91 0.81 0.73 0.68 0.64 0.60 0.55 0.52 0.53 0.60 0.76 1.01 1.34 1.72 2.07 2.35 2.52 2.60 2.61 2.58 2.53 2.47 2.40 2.32 2.27 2.27 2.32 2.41 2.46 2.44 2.34 2.18 2.02 1.93 1.91 1.93 1.94 1.89 1.76 1.59 1.42 1.33 1.36 1.51 1.74 1.98 2.15 2.18 2.09 1.88 1.64 1.42 1.24 1.10 0.99 0.89 0.82 0.80 0.84 0.94 1.04 1.08 1.03 0.93 0.82 0.77 0.81 0.91 1.03 1.10 1.09 1.01 0.91 0.81 0.73 0.68 0.64 0.60 0.55 0.52 0.53 0.60 0.76 1.01 1.34 1.72 2.07 75.0 + 77.5 2.40 2.66 2.79 2.80 2.72 2.61 2.50 2.41 2.35 2.32 2.32 2.37 2.44 2.51 2.55 2.53 2.45 2.34 2.25 2.21 2.22 2.25 2.26 2.21 2.11 1.96 1.83 1.76 1.77 1.89 2.08 2.30 2.46 2.52 2.44 2.23 1.96 1.68 1.44 1.26 1.12 1.02 0.95 0.93 0.97 1.06 1.17 1.27 1.30 1.28 1.22 1.18 1.18 1.22 1.27 1.32 1.33 1.30 1.23 1.15 1.06 0.98 0.91 0.85 0.82 0.81 0.84 0.93 1.09 1.34 1.68 2.05 2.40 2.66 2.79 2.80 2.72 2.61 2.50 2.41 2.35 2.32 2.32 2.37 2.44 2.51 2.55 2.53 2.45 2.34 2.25 2.21 2.22 2.25 2.26 2.21 2.11 1.96 1.83 1.76 1.77 1.89 2.08 2.30 2.46 2.52 2.44 2.23 1.96 1.68 1.44 1.26 1.12 1.02 0.95 0.93 0.97 1.06 1.17 1.27 1.30 1.28 1.22 1.18 1.18 1.22 1.27 1.32 1.33 1.30 1.23 1.15 1.06 0.98 0.91 0.85 0.82 0.81 0.84 0.93 1.09 1.34 1.68 2.05 2.40 77.5 + 80.0 2.50 2.72 2.80 2.75 2.59 2.40 2.22 2.10 2.03 2.03 2.08 2.15 2.22 2.27 2.27 2.22 2.16 2.10 2.09 2.12 2.19 2.24 2.26 2.23 2.16 2.08 2.01 1.99 2.04 2.15 2.31 2.51 2.69 2.78 2.74 2.56 2.27 1.94 1.61 1.34 1.14 1.00 0.90 0.86 0.87 0.94 1.05 1.17 1.28 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.30 1.20 1.07 0.96 0.88 0.85 0.88 0.96 1.08 1.27 1.53 1.84 2.19 2.50 2.72 2.80 2.75 2.59 2.40 2.22 2.10 2.03 2.03 2.08 2.15 2.22 2.27 2.27 2.22 2.16 2.10 2.09 2.12 2.19 2.24 2.26 2.23 2.16 2.08 2.01 1.99 2.04 2.15 2.31 2.51 2.69 2.78 2.74 2.56 2.27 1.94 1.61 1.34 1.14 1.00 0.90 0.86 0.87 0.94 1.05 1.17 1.28 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.30 1.20 1.07 0.96 0.88 0.85 0.88 0.96 1.08 1.27 1.53 1.84 2.19 2.50 80.0 + 82.5 2.34 2.51 2.54 2.43 2.22 1.97 1.73 1.56 1.48 1.48 1.55 1.64 1.71 1.71 1.66 1.56 1.48 1.46 1.52 1.63 1.75 1.84 1.87 1.85 1.81 1.80 1.82 1.88 1.97 2.10 2.27 2.47 2.67 2.82 2.86 2.75 2.49 2.13 1.72 1.35 1.05 0.83 0.69 0.60 0.56 0.58 0.66 0.78 0.92 1.05 1.13 1.15 1.11 1.04 0.99 0.99 1.04 1.11 1.17 1.16 1.07 0.93 0.77 0.67 0.65 0.71 0.84 1.02 1.24 1.50 1.79 2.09 2.34 2.51 2.54 2.43 2.22 1.97 1.73 1.56 1.48 1.48 1.55 1.64 1.71 1.71 1.66 1.56 1.48 1.46 1.52 1.63 1.75 1.84 1.87 1.85 1.81 1.80 1.82 1.88 1.97 2.10 2.27 2.47 2.67 2.82 2.86 2.75 2.49 2.13 1.72 1.35 1.05 0.83 0.69 0.60 0.56 0.58 0.66 0.78 0.92 1.05 1.13 1.15 1.11 1.04 0.99 0.99 1.04 1.11 1.17 1.16 1.07 0.93 0.77 0.67 0.65 0.71 0.84 1.02 1.24 1.50 1.79 2.09 2.34 82.5 + 85.0 2.02 2.11 2.10 1.96 1.72 1.43 1.14 0.93 0.83 0.83 0.91 1.01 1.07 1.03 0.92 0.76 0.65 0.64 0.73 0.90 1.06 1.16 1.19 1.17 1.15 1.18 1.27 1.40 1.55 1.71 1.89 2.11 2.36 2.60 2.76 2.76 2.58 2.24 1.80 1.35 0.97 0.67 0.47 0.33 0.23 0.18 0.19 0.26 0.38 0.53 0.65 0.69 0.64 0.55 0.46 0.43 0.50 0.63 0.75 0.81 0.76 0.62 0.45 0.33 0.32 0.41 0.59 0.83 1.08 1.34 1.60 1.83 2.02 2.11 2.10 1.96 1.72 1.43 1.14 0.93 0.83 0.83 0.91 1.01 1.07 1.03 0.92 0.76 0.65 0.64 0.73 0.90 1.06 1.16 1.19 1.17 1.15 1.18 1.27 1.40 1.55 1.71 1.89 2.11 2.36 2.60 2.76 2.76 2.58 2.24 1.80 1.35 0.97 0.67 0.47 0.33 0.23 0.18 0.19 0.26 0.38 0.53 0.65 0.69 0.64 0.55 0.46 0.43 0.50 0.63 0.75 0.81 0.76 0.62 0.45 0.33 0.32 0.41 0.59 0.83 1.08 1.34 1.60 1.83 2.02 85.0 + 87.5 1.70 1.73 1.67 1.50 1.25 0.94 0.64 0.40 0.28 0.28 0.37 0.49 0.55 0.49 0.34 0.14 0.00 0.00 0.05 0.23 0.41 0.51 0.51 0.47 0.44 0.47 0.58 0.74 0.92 1.11 1.31 1.55 1.86 2.19 2.48 2.63 2.58 2.33 1.93 1.47 1.04 0.70 0.45 0.27 0.12 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.21 0.08 0.00 0.00 0.00 0.13 0.32 0.44 0.44 0.33 0.17 0.05 0.04 0.16 0.38 0.66 0.94 1.20 1.42 1.59 1.70 1.73 1.67 1.50 1.25 0.94 0.64 0.40 0.28 0.28 0.37 0.49 0.55 0.49 0.34 0.14 0.00 0.00 0.05 0.23 0.41 0.51 0.51 0.47 0.44 0.47 0.58 0.74 0.92 1.11 1.31 1.55 1.86 2.19 2.48 2.63 2.58 2.33 1.93 1.47 1.04 0.70 0.45 0.27 0.12 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.21 0.08 0.00 0.00 0.00 0.13 0.32 0.44 0.44 0.33 0.17 0.05 0.04 0.16 0.38 0.66 0.94 1.20 1.42 1.59 1.70 87.5 + 90.0 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 90.0 + + 12.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.95 FMAX-I = 5.95 ) PHI2 = 13. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 0.0 + 2.5 1.31 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.43 0.51 0.66 0.85 1.06 1.29 1.52 1.77 1.99 2.16 2.23 2.18 2.02 1.80 1.57 1.33 1.11 0.89 0.70 0.54 0.45 0.41 0.41 0.38 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.53 0.70 0.91 1.13 1.35 1.59 1.85 2.08 2.25 2.31 2.23 2.05 1.81 1.55 1.31 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.43 0.51 0.66 0.85 1.06 1.29 1.52 1.77 1.99 2.16 2.23 2.18 2.02 1.80 1.57 1.33 1.11 0.89 0.70 0.54 0.45 0.41 0.41 0.38 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.35 0.36 0.41 0.53 0.70 0.91 1.13 1.35 1.59 1.85 2.08 2.25 2.31 2.23 2.05 1.81 1.55 1.31 2.5 + 5.0 1.22 0.96 0.74 0.54 0.37 0.27 0.24 0.27 0.31 0.29 0.18 0.01 0.00 0.00 0.00 0.00 0.19 0.37 0.47 0.48 0.43 0.40 0.42 0.52 0.69 0.91 1.15 1.41 1.67 1.90 2.08 2.17 2.14 2.01 1.80 1.55 1.30 1.05 0.82 0.64 0.51 0.46 0.47 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.31 0.31 0.31 0.37 0.51 0.69 0.91 1.14 1.40 1.68 1.97 2.24 2.42 2.47 2.36 2.12 1.81 1.50 1.22 0.96 0.74 0.54 0.37 0.27 0.24 0.27 0.31 0.29 0.18 0.01 0.00 0.00 0.00 0.00 0.19 0.37 0.47 0.48 0.43 0.40 0.42 0.52 0.69 0.91 1.15 1.41 1.67 1.90 2.08 2.17 2.14 2.01 1.80 1.55 1.30 1.05 0.82 0.64 0.51 0.46 0.47 0.48 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.31 0.31 0.31 0.37 0.51 0.69 0.91 1.14 1.40 1.68 1.97 2.24 2.42 2.47 2.36 2.12 1.81 1.50 1.22 5.0 + 7.5 1.04 0.77 0.55 0.36 0.20 0.10 0.09 0.14 0.23 0.29 0.26 0.16 0.02 0.00 0.00 0.04 0.22 0.41 0.51 0.50 0.42 0.31 0.26 0.30 0.44 0.66 0.92 1.20 1.47 1.71 1.90 2.00 2.00 1.90 1.71 1.45 1.17 0.89 0.66 0.49 0.42 0.43 0.49 0.53 0.49 0.36 0.16 0.00 0.00 0.00 0.00 0.13 0.27 0.33 0.33 0.30 0.30 0.38 0.53 0.72 0.94 1.17 1.44 1.75 2.09 2.39 2.58 2.60 2.44 2.13 1.75 1.37 1.04 0.77 0.55 0.36 0.20 0.10 0.09 0.14 0.23 0.29 0.26 0.16 0.02 0.00 0.00 0.04 0.22 0.41 0.51 0.50 0.42 0.31 0.26 0.30 0.44 0.66 0.92 1.20 1.47 1.71 1.90 2.00 2.00 1.90 1.71 1.45 1.17 0.89 0.66 0.49 0.42 0.43 0.49 0.53 0.49 0.36 0.16 0.00 0.00 0.00 0.00 0.13 0.27 0.33 0.33 0.30 0.30 0.38 0.53 0.72 0.94 1.17 1.44 1.75 2.09 2.39 2.58 2.60 2.44 2.13 1.75 1.37 1.04 7.5 + 10.0 0.78 0.52 0.32 0.16 0.02 0.00 0.00 0.00 0.09 0.20 0.24 0.18 0.05 0.00 0.00 0.00 0.10 0.29 0.42 0.43 0.33 0.17 0.06 0.04 0.15 0.37 0.65 0.94 1.20 1.42 1.59 1.70 1.73 1.66 1.50 1.25 0.95 0.64 0.40 0.26 0.25 0.33 0.44 0.51 0.46 0.31 0.11 0.00 0.00 0.00 0.14 0.32 0.43 0.44 0.40 0.36 0.38 0.48 0.64 0.82 1.01 1.21 1.46 1.77 2.12 2.43 2.61 2.60 2.38 2.00 1.56 1.13 0.78 0.52 0.32 0.16 0.02 0.00 0.00 0.00 0.09 0.20 0.24 0.18 0.05 0.00 0.00 0.00 0.10 0.29 0.42 0.43 0.33 0.17 0.06 0.04 0.15 0.37 0.65 0.94 1.20 1.42 1.59 1.70 1.73 1.66 1.50 1.25 0.95 0.64 0.40 0.26 0.25 0.33 0.44 0.51 0.46 0.31 0.11 0.00 0.00 0.00 0.14 0.32 0.43 0.44 0.40 0.36 0.38 0.48 0.64 0.82 1.01 1.21 1.46 1.77 2.12 2.43 2.61 2.60 2.38 2.00 1.56 1.13 0.78 10.0 + 12.5 0.46 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.10 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.28 0.20 0.03 0.00 0.00 0.00 0.12 0.40 0.68 0.92 1.10 1.24 1.34 1.39 1.36 1.23 1.00 0.69 0.38 0.13 0.02 0.06 0.20 0.37 0.45 0.39 0.22 0.01 0.00 0.00 0.04 0.27 0.48 0.58 0.57 0.51 0.48 0.52 0.65 0.82 0.98 1.12 1.26 1.46 1.72 2.04 2.33 2.49 2.45 2.18 1.75 1.26 0.81 0.46 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.10 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.28 0.20 0.03 0.00 0.00 0.00 0.12 0.40 0.68 0.92 1.10 1.24 1.34 1.39 1.36 1.23 1.00 0.69 0.38 0.13 0.02 0.06 0.20 0.37 0.45 0.39 0.22 0.01 0.00 0.00 0.04 0.27 0.48 0.58 0.57 0.51 0.48 0.52 0.65 0.82 0.98 1.12 1.26 1.46 1.72 2.04 2.33 2.49 2.45 2.18 1.75 1.26 0.81 0.46 12.5 + 15.0 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.19 0.14 0.00 0.00 0.00 0.00 0.00 0.27 0.54 0.74 0.88 0.98 1.06 1.13 1.13 1.05 0.84 0.54 0.22 0.00 0.00 0.00 0.14 0.34 0.43 0.36 0.16 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.68 0.62 0.61 0.69 0.85 1.04 1.18 1.27 1.34 1.45 1.64 1.90 2.15 2.28 2.21 1.92 1.46 0.95 0.50 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.19 0.14 0.00 0.00 0.00 0.00 0.00 0.27 0.54 0.74 0.88 0.98 1.06 1.13 1.13 1.05 0.84 0.54 0.22 0.00 0.00 0.00 0.14 0.34 0.43 0.36 0.16 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.68 0.62 0.61 0.69 0.85 1.04 1.18 1.27 1.34 1.45 1.64 1.90 2.15 2.28 2.21 1.92 1.46 0.95 0.50 0.17 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.24 0.08 0.00 0.00 0.00 0.05 0.32 0.57 0.74 0.85 0.91 0.98 1.05 1.09 1.04 0.87 0.58 0.26 0.01 0.00 0.00 0.20 0.42 0.51 0.43 0.21 0.00 0.00 0.00 0.11 0.42 0.66 0.76 0.75 0.69 0.70 0.81 1.02 1.23 1.37 1.43 1.43 1.47 1.58 1.78 1.98 2.08 2.00 1.71 1.25 0.74 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.24 0.08 0.00 0.00 0.00 0.05 0.32 0.57 0.74 0.85 0.91 0.98 1.05 1.09 1.04 0.87 0.58 0.26 0.01 0.00 0.00 0.20 0.42 0.51 0.43 0.21 0.00 0.00 0.00 0.11 0.42 0.66 0.76 0.75 0.69 0.70 0.81 1.02 1.23 1.37 1.43 1.43 1.47 1.58 1.78 1.98 2.08 2.00 1.71 1.25 0.74 0.28 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.32 0.21 0.00 0.00 0.00 0.00 0.01 0.32 0.52 0.53 0.37 0.16 0.03 0.07 0.26 0.52 0.76 0.92 1.00 1.05 1.10 1.18 1.23 1.21 1.06 0.80 0.48 0.21 0.09 0.16 0.36 0.57 0.68 0.60 0.37 0.10 0.00 0.00 0.19 0.49 0.73 0.83 0.80 0.74 0.75 0.88 1.12 1.37 1.54 1.59 1.56 1.53 1.58 1.71 1.88 1.97 1.90 1.63 1.19 0.68 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.32 0.21 0.00 0.00 0.00 0.00 0.01 0.32 0.52 0.53 0.37 0.16 0.03 0.07 0.26 0.52 0.76 0.92 1.00 1.05 1.10 1.18 1.23 1.21 1.06 0.80 0.48 0.21 0.09 0.16 0.36 0.57 0.68 0.60 0.37 0.10 0.00 0.00 0.19 0.49 0.73 0.83 0.80 0.74 0.75 0.88 1.12 1.37 1.54 1.59 1.56 1.53 1.58 1.71 1.88 1.97 1.90 1.63 1.19 0.68 0.22 0.00 20.0 + 22.5 0.01 0.00 0.00 0.02 0.09 0.08 0.04 0.04 0.16 0.39 0.63 0.76 0.70 0.49 0.23 0.09 0.16 0.41 0.71 0.91 0.91 0.74 0.50 0.34 0.35 0.51 0.76 0.99 1.15 1.22 1.26 1.30 1.37 1.42 1.42 1.29 1.05 0.73 0.45 0.29 0.32 0.49 0.71 0.83 0.78 0.57 0.30 0.12 0.13 0.32 0.61 0.85 0.96 0.92 0.85 0.84 0.96 1.21 1.49 1.69 1.76 1.73 1.66 1.64 1.72 1.85 1.94 1.91 1.67 1.27 0.77 0.31 0.01 0.00 0.00 0.02 0.09 0.08 0.04 0.04 0.16 0.39 0.63 0.76 0.70 0.49 0.23 0.09 0.16 0.41 0.71 0.91 0.91 0.74 0.50 0.34 0.35 0.51 0.76 0.99 1.15 1.22 1.26 1.30 1.37 1.42 1.42 1.29 1.05 0.73 0.45 0.29 0.32 0.49 0.71 0.83 0.78 0.57 0.30 0.12 0.13 0.32 0.61 0.85 0.96 0.92 0.85 0.84 0.96 1.21 1.49 1.69 1.76 1.73 1.66 1.64 1.72 1.85 1.94 1.91 1.67 1.27 0.77 0.31 0.01 22.5 + 25.0 0.17 0.07 0.13 0.26 0.36 0.37 0.34 0.35 0.49 0.75 1.04 1.23 1.22 1.02 0.75 0.57 0.59 0.80 1.06 1.24 1.23 1.03 0.77 0.57 0.54 0.67 0.89 1.11 1.26 1.33 1.35 1.38 1.43 1.47 1.47 1.37 1.15 0.85 0.56 0.38 0.36 0.50 0.72 0.87 0.88 0.72 0.49 0.32 0.32 0.52 0.83 1.11 1.25 1.24 1.15 1.10 1.18 1.40 1.67 1.89 1.97 1.93 1.82 1.73 1.75 1.84 1.94 1.94 1.76 1.40 0.93 0.48 0.17 0.07 0.13 0.26 0.36 0.37 0.34 0.35 0.49 0.75 1.04 1.23 1.22 1.02 0.75 0.57 0.59 0.80 1.06 1.24 1.23 1.03 0.77 0.57 0.54 0.67 0.89 1.11 1.26 1.33 1.35 1.38 1.43 1.47 1.47 1.37 1.15 0.85 0.56 0.38 0.36 0.50 0.72 0.87 0.88 0.72 0.49 0.32 0.32 0.52 0.83 1.11 1.25 1.24 1.15 1.10 1.18 1.40 1.67 1.89 1.97 1.93 1.82 1.73 1.75 1.84 1.94 1.94 1.76 1.40 0.93 0.48 0.17 25.0 + 27.5 0.36 0.29 0.39 0.56 0.68 0.70 0.66 0.66 0.79 1.06 1.37 1.59 1.59 1.38 1.08 0.85 0.81 0.96 1.19 1.35 1.32 1.11 0.82 0.59 0.52 0.61 0.79 0.99 1.13 1.19 1.20 1.21 1.23 1.26 1.27 1.20 1.03 0.78 0.51 0.31 0.26 0.37 0.59 0.79 0.88 0.81 0.64 0.51 0.54 0.78 1.17 1.55 1.79 1.84 1.75 1.64 1.64 1.77 1.98 2.17 2.24 2.16 1.99 1.82 1.76 1.80 1.90 1.94 1.82 1.51 1.08 0.65 0.36 0.29 0.39 0.56 0.68 0.70 0.66 0.66 0.79 1.06 1.37 1.59 1.59 1.38 1.08 0.85 0.81 0.96 1.19 1.35 1.32 1.11 0.82 0.59 0.52 0.61 0.79 0.99 1.13 1.19 1.20 1.21 1.23 1.26 1.27 1.20 1.03 0.78 0.51 0.31 0.26 0.37 0.59 0.79 0.88 0.81 0.64 0.51 0.54 0.78 1.17 1.55 1.79 1.84 1.75 1.64 1.64 1.77 1.98 2.17 2.24 2.16 1.99 1.82 1.76 1.80 1.90 1.94 1.82 1.51 1.08 0.65 0.36 27.5 + 30.0 0.54 0.50 0.65 0.87 1.02 1.04 0.97 0.92 1.01 1.25 1.55 1.74 1.72 1.48 1.12 0.82 0.72 0.83 1.03 1.17 1.14 0.93 0.64 0.39 0.29 0.34 0.48 0.65 0.77 0.81 0.81 0.80 0.81 0.84 0.87 0.86 0.77 0.60 0.37 0.18 0.11 0.20 0.42 0.67 0.85 0.88 0.80 0.73 0.83 1.15 1.65 2.18 2.58 2.73 2.67 2.49 2.36 2.35 2.45 2.55 2.55 2.41 2.15 1.89 1.73 1.73 1.82 1.89 1.83 1.57 1.18 0.79 0.54 0.50 0.65 0.87 1.02 1.04 0.97 0.92 1.01 1.25 1.55 1.74 1.72 1.48 1.12 0.82 0.72 0.83 1.03 1.17 1.14 0.93 0.64 0.39 0.29 0.34 0.48 0.65 0.77 0.81 0.81 0.80 0.81 0.84 0.87 0.86 0.77 0.60 0.37 0.18 0.11 0.20 0.42 0.67 0.85 0.88 0.80 0.73 0.83 1.15 1.65 2.18 2.58 2.73 2.67 2.49 2.36 2.35 2.45 2.55 2.55 2.41 2.15 1.89 1.73 1.73 1.82 1.89 1.83 1.57 1.18 0.79 0.54 30.0 + 32.5 0.69 0.69 0.89 1.15 1.32 1.33 1.23 1.13 1.17 1.36 1.61 1.76 1.69 1.38 0.94 0.57 0.41 0.48 0.66 0.80 0.79 0.60 0.32 0.07 0.00 0.00 0.09 0.23 0.34 0.38 0.37 0.35 0.35 0.39 0.47 0.54 0.55 0.48 0.33 0.16 0.07 0.14 0.36 0.66 0.91 1.04 1.04 1.04 1.19 1.60 2.24 2.94 3.52 3.80 3.77 3.53 3.25 3.07 3.00 2.97 2.88 2.64 2.29 1.94 1.70 1.65 1.74 1.84 1.83 1.62 1.27 0.91 0.69 0.69 0.89 1.15 1.32 1.33 1.23 1.13 1.17 1.36 1.61 1.76 1.69 1.38 0.94 0.57 0.41 0.48 0.66 0.80 0.79 0.60 0.32 0.07 0.00 0.00 0.09 0.23 0.34 0.38 0.37 0.35 0.35 0.39 0.47 0.54 0.55 0.48 0.33 0.16 0.07 0.14 0.36 0.66 0.91 1.04 1.04 1.04 1.19 1.60 2.24 2.94 3.52 3.80 3.77 3.53 3.25 3.07 3.00 2.97 2.88 2.64 2.29 1.94 1.70 1.65 1.74 1.84 1.83 1.62 1.27 0.91 0.69 32.5 + 35.0 0.85 0.87 1.09 1.37 1.56 1.57 1.44 1.31 1.31 1.47 1.68 1.79 1.66 1.27 0.75 0.31 0.09 0.12 0.30 0.46 0.47 0.30 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.10 0.08 0.09 0.16 0.29 0.45 0.57 0.59 0.51 0.36 0.27 0.31 0.52 0.84 1.14 1.34 1.40 1.44 1.62 2.08 2.82 3.68 4.41 4.82 4.83 4.53 4.11 3.74 3.50 3.34 3.13 2.82 2.40 1.98 1.70 1.63 1.73 1.88 1.91 1.74 1.41 1.06 0.85 0.87 1.09 1.37 1.56 1.57 1.44 1.31 1.31 1.47 1.68 1.79 1.66 1.27 0.75 0.31 0.09 0.12 0.30 0.46 0.47 0.30 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.10 0.08 0.09 0.16 0.29 0.45 0.57 0.59 0.51 0.36 0.27 0.31 0.52 0.84 1.14 1.34 1.40 1.44 1.62 2.08 2.82 3.68 4.41 4.82 4.83 4.53 4.11 3.74 3.50 3.34 3.13 2.82 2.40 1.98 1.70 1.63 1.73 1.88 1.91 1.74 1.41 1.06 0.85 35.0 + 37.5 1.05 1.05 1.26 1.55 1.74 1.76 1.64 1.52 1.52 1.69 1.90 1.99 1.82 1.37 0.77 0.25 0.00 0.00 0.15 0.33 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.16 0.16 0.15 0.17 0.27 0.44 0.66 0.85 0.94 0.90 0.76 0.64 0.64 0.83 1.15 1.48 1.71 1.79 1.82 2.00 2.46 3.24 4.18 5.02 5.52 5.56 5.22 4.70 4.19 3.81 3.53 3.26 2.90 2.45 2.02 1.74 1.69 1.84 2.03 2.11 1.98 1.65 1.28 1.05 1.05 1.26 1.55 1.74 1.76 1.64 1.52 1.52 1.69 1.90 1.99 1.82 1.37 0.77 0.25 0.00 0.00 0.15 0.33 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.16 0.16 0.15 0.17 0.27 0.44 0.66 0.85 0.94 0.90 0.76 0.64 0.64 0.83 1.15 1.48 1.71 1.79 1.82 2.00 2.46 3.24 4.18 5.02 5.52 5.56 5.22 4.70 4.19 3.81 3.53 3.26 2.90 2.45 2.02 1.74 1.69 1.84 2.03 2.11 1.98 1.65 1.28 1.05 37.5 + 40.0 1.29 1.25 1.42 1.69 1.89 1.94 1.86 1.79 1.86 2.09 2.35 2.47 2.28 1.78 1.12 0.53 0.19 0.16 0.32 0.50 0.54 0.40 0.15 0.00 0.00 0.00 0.09 0.30 0.46 0.54 0.54 0.53 0.55 0.65 0.83 1.07 1.28 1.38 1.33 1.18 1.02 0.98 1.12 1.42 1.75 1.98 2.05 2.05 2.17 2.58 3.33 4.28 5.16 5.70 5.78 5.42 4.84 4.26 3.82 3.50 3.21 2.85 2.43 2.03 1.79 1.80 2.01 2.28 2.41 2.30 1.97 1.57 1.29 1.25 1.42 1.69 1.89 1.94 1.86 1.79 1.86 2.09 2.35 2.47 2.28 1.78 1.12 0.53 0.19 0.16 0.32 0.50 0.54 0.40 0.15 0.00 0.00 0.00 0.09 0.30 0.46 0.54 0.54 0.53 0.55 0.65 0.83 1.07 1.28 1.38 1.33 1.18 1.02 0.98 1.12 1.42 1.75 1.98 2.05 2.05 2.17 2.58 3.33 4.28 5.16 5.70 5.78 5.42 4.84 4.26 3.82 3.50 3.21 2.85 2.43 2.03 1.79 1.80 2.01 2.28 2.41 2.30 1.97 1.57 1.29 40.0 + 42.5 1.55 1.46 1.60 1.85 2.07 2.16 2.16 2.19 2.36 2.68 3.03 3.19 3.02 2.50 1.79 1.12 0.71 0.63 0.76 0.92 0.96 0.81 0.56 0.34 0.26 0.36 0.58 0.82 0.99 1.06 1.05 1.01 1.00 1.07 1.23 1.43 1.60 1.66 1.58 1.38 1.18 1.10 1.21 1.48 1.79 1.99 2.03 1.97 2.02 2.34 3.01 3.90 4.76 5.32 5.41 5.08 4.52 3.95 3.52 3.23 2.99 2.69 2.33 2.00 1.82 1.89 2.17 2.50 2.69 2.62 2.30 1.88 1.55 1.46 1.60 1.85 2.07 2.16 2.16 2.19 2.36 2.68 3.03 3.19 3.02 2.50 1.79 1.12 0.71 0.63 0.76 0.92 0.96 0.81 0.56 0.34 0.26 0.36 0.58 0.82 0.99 1.06 1.05 1.01 1.00 1.07 1.23 1.43 1.60 1.66 1.58 1.38 1.18 1.10 1.21 1.48 1.79 1.99 2.03 1.97 2.02 2.34 3.01 3.90 4.76 5.32 5.41 5.08 4.52 3.95 3.52 3.23 2.99 2.69 2.33 2.00 1.82 1.89 2.17 2.50 2.69 2.62 2.30 1.88 1.55 42.5 + 45.0 1.79 1.68 1.80 2.06 2.31 2.47 2.56 2.69 2.98 3.40 3.84 4.07 3.93 3.39 2.63 1.89 1.40 1.24 1.31 1.44 1.45 1.29 1.02 0.79 0.72 0.83 1.06 1.30 1.46 1.49 1.43 1.34 1.28 1.30 1.40 1.53 1.62 1.62 1.48 1.25 1.02 0.92 1.01 1.25 1.53 1.70 1.70 1.60 1.57 1.79 2.35 3.15 3.94 4.47 4.58 4.31 3.82 3.34 3.00 2.81 2.66 2.45 2.17 1.89 1.76 1.88 2.20 2.59 2.84 2.82 2.53 2.12 1.79 1.68 1.80 2.06 2.31 2.47 2.56 2.69 2.98 3.40 3.84 4.07 3.93 3.39 2.63 1.89 1.40 1.24 1.31 1.44 1.45 1.29 1.02 0.79 0.72 0.83 1.06 1.30 1.46 1.49 1.43 1.34 1.28 1.30 1.40 1.53 1.62 1.62 1.48 1.25 1.02 0.92 1.01 1.25 1.53 1.70 1.70 1.60 1.57 1.79 2.35 3.15 3.94 4.47 4.58 4.31 3.82 3.34 3.00 2.81 2.66 2.45 2.17 1.89 1.76 1.88 2.20 2.59 2.84 2.82 2.53 2.12 1.79 45.0 + 47.5 1.95 1.86 2.01 2.31 2.61 2.85 3.03 3.26 3.64 4.14 4.65 4.93 4.81 4.28 3.47 2.66 2.08 1.82 1.82 1.88 1.85 1.65 1.37 1.13 1.04 1.14 1.35 1.56 1.67 1.64 1.52 1.37 1.25 1.21 1.24 1.29 1.31 1.24 1.07 0.83 0.62 0.53 0.61 0.83 1.08 1.23 1.20 1.07 0.98 1.12 1.57 2.25 2.95 3.43 3.55 3.34 2.96 2.61 2.40 2.33 2.29 2.18 1.96 1.72 1.61 1.73 2.07 2.48 2.78 2.81 2.59 2.24 1.95 1.86 2.01 2.31 2.61 2.85 3.03 3.26 3.64 4.14 4.65 4.93 4.81 4.28 3.47 2.66 2.08 1.82 1.82 1.88 1.85 1.65 1.37 1.13 1.04 1.14 1.35 1.56 1.67 1.64 1.52 1.37 1.25 1.21 1.24 1.29 1.31 1.24 1.07 0.83 0.62 0.53 0.61 0.83 1.08 1.23 1.20 1.07 0.98 1.12 1.57 2.25 2.95 3.43 3.55 3.34 2.96 2.61 2.40 2.33 2.29 2.18 1.96 1.72 1.61 1.73 2.07 2.48 2.78 2.81 2.59 2.24 1.95 47.5 + 50.0 2.00 1.99 2.20 2.56 2.94 3.25 3.51 3.81 4.23 4.77 5.29 5.60 5.51 4.99 4.17 3.31 2.64 2.27 2.16 2.14 2.05 1.83 1.52 1.26 1.15 1.22 1.39 1.54 1.59 1.50 1.31 1.11 0.95 0.87 0.85 0.85 0.82 0.72 0.55 0.35 0.18 0.13 0.23 0.45 0.68 0.80 0.76 0.61 0.49 0.56 0.91 1.47 2.06 2.48 2.60 2.44 2.16 1.93 1.85 1.90 1.95 1.91 1.72 1.49 1.37 1.46 1.77 2.18 2.50 2.61 2.47 2.21 2.00 1.99 2.20 2.56 2.94 3.25 3.51 3.81 4.23 4.77 5.29 5.60 5.51 4.99 4.17 3.31 2.64 2.27 2.16 2.14 2.05 1.83 1.52 1.26 1.15 1.22 1.39 1.54 1.59 1.50 1.31 1.11 0.95 0.87 0.85 0.85 0.82 0.72 0.55 0.35 0.18 0.13 0.23 0.45 0.68 0.80 0.76 0.61 0.49 0.56 0.91 1.47 2.06 2.48 2.60 2.44 2.16 1.93 1.85 1.90 1.95 1.91 1.72 1.49 1.37 1.46 1.77 2.18 2.50 2.61 2.47 2.21 2.00 50.0 + 52.5 1.94 2.01 2.31 2.74 3.18 3.56 3.88 4.20 4.62 5.14 5.64 5.95 5.89 5.41 4.61 3.74 3.01 2.55 2.33 2.22 2.07 1.82 1.49 1.21 1.08 1.10 1.22 1.32 1.31 1.18 0.96 0.74 0.57 0.47 0.43 0.42 0.38 0.30 0.17 0.02 0.00 0.00 0.06 0.28 0.50 0.61 0.58 0.42 0.29 0.30 0.56 1.00 1.48 1.82 1.91 1.78 1.56 1.41 1.42 1.54 1.65 1.64 1.47 1.23 1.07 1.11 1.38 1.76 2.09 2.25 2.20 2.04 1.94 2.01 2.31 2.74 3.18 3.56 3.88 4.20 4.62 5.14 5.64 5.95 5.89 5.41 4.61 3.74 3.01 2.55 2.33 2.22 2.07 1.82 1.49 1.21 1.08 1.10 1.22 1.32 1.31 1.18 0.96 0.74 0.57 0.47 0.43 0.42 0.38 0.30 0.17 0.02 0.00 0.00 0.06 0.28 0.50 0.61 0.58 0.42 0.29 0.30 0.56 1.00 1.48 1.82 1.91 1.78 1.56 1.41 1.42 1.54 1.65 1.64 1.47 1.23 1.07 1.11 1.38 1.76 2.09 2.25 2.20 2.04 1.94 52.5 + 55.0 1.77 1.93 2.28 2.77 3.27 3.70 4.03 4.34 4.71 5.16 5.61 5.90 5.87 5.46 4.75 3.91 3.17 2.65 2.36 2.17 1.97 1.70 1.37 1.08 0.92 0.91 0.98 1.04 1.02 0.89 0.68 0.48 0.33 0.25 0.22 0.21 0.19 0.15 0.07 0.00 0.00 0.00 0.14 0.36 0.57 0.69 0.67 0.53 0.38 0.35 0.53 0.86 1.24 1.49 1.54 1.40 1.20 1.08 1.11 1.25 1.37 1.36 1.18 0.92 0.73 0.73 0.94 1.29 1.62 1.81 1.84 1.77 1.77 1.93 2.28 2.77 3.27 3.70 4.03 4.34 4.71 5.16 5.61 5.90 5.87 5.46 4.75 3.91 3.17 2.65 2.36 2.17 1.97 1.70 1.37 1.08 0.92 0.91 0.98 1.04 1.02 0.89 0.68 0.48 0.33 0.25 0.22 0.21 0.19 0.15 0.07 0.00 0.00 0.00 0.14 0.36 0.57 0.69 0.67 0.53 0.38 0.35 0.53 0.86 1.24 1.49 1.54 1.40 1.20 1.08 1.11 1.25 1.37 1.36 1.18 0.92 0.73 0.73 0.94 1.29 1.62 1.81 1.84 1.77 1.77 55.0 + 57.5 1.51 1.73 2.12 2.63 3.15 3.59 3.91 4.18 4.47 4.82 5.19 5.44 5.46 5.15 4.55 3.83 3.14 2.61 2.27 2.04 1.82 1.54 1.23 0.95 0.78 0.74 0.79 0.84 0.84 0.76 0.62 0.47 0.36 0.31 0.30 0.30 0.30 0.28 0.24 0.20 0.19 0.24 0.38 0.58 0.78 0.91 0.90 0.77 0.62 0.56 0.66 0.91 1.20 1.40 1.40 1.24 1.02 0.88 0.87 0.97 1.06 1.03 0.84 0.58 0.37 0.34 0.51 0.82 1.14 1.36 1.43 1.45 1.51 1.73 2.12 2.63 3.15 3.59 3.91 4.18 4.47 4.82 5.19 5.44 5.46 5.15 4.55 3.83 3.14 2.61 2.27 2.04 1.82 1.54 1.23 0.95 0.78 0.74 0.79 0.84 0.84 0.76 0.62 0.47 0.36 0.31 0.30 0.30 0.30 0.28 0.24 0.20 0.19 0.24 0.38 0.58 0.78 0.91 0.90 0.77 0.62 0.56 0.66 0.91 1.20 1.40 1.40 1.24 1.02 0.88 0.87 0.97 1.06 1.03 0.84 0.58 0.37 0.34 0.51 0.82 1.14 1.36 1.43 1.45 1.51 57.5 + 60.0 1.21 1.46 1.86 2.36 2.86 3.27 3.56 3.76 3.95 4.18 4.44 4.66 4.71 4.52 4.09 3.51 2.92 2.44 2.10 1.86 1.65 1.40 1.13 0.87 0.70 0.65 0.68 0.76 0.81 0.81 0.76 0.70 0.65 0.62 0.61 0.61 0.61 0.59 0.55 0.50 0.46 0.48 0.58 0.74 0.93 1.06 1.06 0.95 0.79 0.70 0.75 0.95 1.19 1.35 1.33 1.16 0.91 0.72 0.64 0.67 0.71 0.65 0.47 0.22 0.02 0.00 0.12 0.40 0.70 0.92 1.04 1.10 1.21 1.46 1.86 2.36 2.86 3.27 3.56 3.76 3.95 4.18 4.44 4.66 4.71 4.52 4.09 3.51 2.92 2.44 2.10 1.86 1.65 1.40 1.13 0.87 0.70 0.65 0.68 0.76 0.81 0.81 0.76 0.70 0.65 0.62 0.61 0.61 0.61 0.59 0.55 0.50 0.46 0.48 0.58 0.74 0.93 1.06 1.06 0.95 0.79 0.70 0.75 0.95 1.19 1.35 1.33 1.16 0.91 0.72 0.64 0.67 0.71 0.65 0.47 0.22 0.02 0.00 0.12 0.40 0.70 0.92 1.04 1.10 1.21 60.0 + 62.5 0.94 1.20 1.58 2.04 2.49 2.85 3.08 3.20 3.29 3.40 3.56 3.73 3.81 3.73 3.47 3.06 2.60 2.19 1.89 1.67 1.48 1.29 1.06 0.84 0.68 0.62 0.65 0.75 0.86 0.96 1.02 1.04 1.04 1.02 1.00 0.97 0.93 0.88 0.81 0.72 0.63 0.59 0.62 0.74 0.90 1.01 1.03 0.92 0.76 0.65 0.67 0.82 1.05 1.21 1.21 1.05 0.79 0.55 0.41 0.37 0.36 0.29 0.12 0.00 0.00 0.00 0.00 0.06 0.32 0.54 0.68 0.79 0.94 1.20 1.58 2.04 2.49 2.85 3.08 3.20 3.29 3.40 3.56 3.73 3.81 3.73 3.47 3.06 2.60 2.19 1.89 1.67 1.48 1.29 1.06 0.84 0.68 0.62 0.65 0.75 0.86 0.96 1.02 1.04 1.04 1.02 1.00 0.97 0.93 0.88 0.81 0.72 0.63 0.59 0.62 0.74 0.90 1.01 1.03 0.92 0.76 0.65 0.67 0.82 1.05 1.21 1.21 1.05 0.79 0.55 0.41 0.37 0.36 0.29 0.12 0.00 0.00 0.00 0.00 0.06 0.32 0.54 0.68 0.79 0.94 62.5 + 65.0 0.79 1.06 1.41 1.81 2.19 2.47 2.63 2.68 2.68 2.69 2.76 2.87 2.97 2.99 2.87 2.62 2.29 1.97 1.71 1.52 1.37 1.23 1.06 0.87 0.72 0.64 0.66 0.76 0.93 1.10 1.26 1.36 1.40 1.39 1.33 1.25 1.15 1.05 0.94 0.81 0.67 0.56 0.54 0.60 0.72 0.82 0.83 0.73 0.57 0.44 0.43 0.57 0.79 0.98 1.02 0.89 0.65 0.41 0.23 0.14 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.44 0.59 0.79 1.06 1.41 1.81 2.19 2.47 2.63 2.68 2.68 2.69 2.76 2.87 2.97 2.99 2.87 2.62 2.29 1.97 1.71 1.52 1.37 1.23 1.06 0.87 0.72 0.64 0.66 0.76 0.93 1.10 1.26 1.36 1.40 1.39 1.33 1.25 1.15 1.05 0.94 0.81 0.67 0.56 0.54 0.60 0.72 0.82 0.83 0.73 0.57 0.44 0.43 0.57 0.79 0.98 1.02 0.89 0.65 0.41 0.23 0.14 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.44 0.59 0.79 65.0 + 67.5 0.82 1.11 1.44 1.77 2.06 2.26 2.35 2.34 2.28 2.22 2.22 2.29 2.40 2.48 2.47 2.34 2.12 1.87 1.66 1.50 1.38 1.28 1.15 1.00 0.84 0.74 0.72 0.81 0.98 1.20 1.42 1.59 1.67 1.64 1.54 1.40 1.25 1.10 0.96 0.81 0.65 0.52 0.45 0.47 0.55 0.63 0.64 0.55 0.39 0.25 0.23 0.35 0.56 0.77 0.85 0.78 0.58 0.35 0.17 0.07 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.58 0.82 1.11 1.44 1.77 2.06 2.26 2.35 2.34 2.28 2.22 2.22 2.29 2.40 2.48 2.47 2.34 2.12 1.87 1.66 1.50 1.38 1.28 1.15 1.00 0.84 0.74 0.72 0.81 0.98 1.20 1.42 1.59 1.67 1.64 1.54 1.40 1.25 1.10 0.96 0.81 0.65 0.52 0.45 0.47 0.55 0.63 0.64 0.55 0.39 0.25 0.23 0.35 0.56 0.77 0.85 0.78 0.58 0.35 0.17 0.07 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.37 0.58 0.82 67.5 + 70.0 1.07 1.38 1.68 1.94 2.13 2.25 2.27 2.22 2.13 2.05 2.03 2.08 2.19 2.30 2.36 2.31 2.18 1.99 1.81 1.67 1.58 1.50 1.40 1.26 1.10 0.96 0.90 0.94 1.09 1.32 1.57 1.77 1.86 1.83 1.70 1.50 1.29 1.11 0.96 0.82 0.69 0.57 0.50 0.50 0.55 0.62 0.63 0.55 0.41 0.28 0.24 0.33 0.52 0.72 0.83 0.80 0.66 0.47 0.31 0.22 0.18 0.14 0.09 0.01 0.00 0.00 0.00 0.00 0.11 0.29 0.51 0.78 1.07 1.38 1.68 1.94 2.13 2.25 2.27 2.22 2.13 2.05 2.03 2.08 2.19 2.30 2.36 2.31 2.18 1.99 1.81 1.67 1.58 1.50 1.40 1.26 1.10 0.96 0.90 0.94 1.09 1.32 1.57 1.77 1.86 1.83 1.70 1.50 1.29 1.11 0.96 0.82 0.69 0.57 0.50 0.50 0.55 0.62 0.63 0.55 0.41 0.28 0.24 0.33 0.52 0.72 0.83 0.80 0.66 0.47 0.31 0.22 0.18 0.14 0.09 0.01 0.00 0.00 0.00 0.00 0.11 0.29 0.51 0.78 1.07 70.0 + 72.5 1.48 1.80 2.06 2.24 2.34 2.37 2.34 2.27 2.18 2.12 2.10 2.16 2.28 2.41 2.49 2.49 2.41 2.28 2.14 2.03 1.96 1.90 1.81 1.67 1.50 1.34 1.24 1.24 1.35 1.55 1.78 1.98 2.08 2.04 1.88 1.63 1.38 1.17 1.02 0.91 0.82 0.74 0.70 0.70 0.75 0.81 0.83 0.79 0.68 0.57 0.53 0.58 0.73 0.88 0.98 0.98 0.89 0.76 0.64 0.56 0.53 0.51 0.48 0.42 0.36 0.32 0.30 0.33 0.42 0.59 0.84 1.15 1.48 1.80 2.06 2.24 2.34 2.37 2.34 2.27 2.18 2.12 2.10 2.16 2.28 2.41 2.49 2.49 2.41 2.28 2.14 2.03 1.96 1.90 1.81 1.67 1.50 1.34 1.24 1.24 1.35 1.55 1.78 1.98 2.08 2.04 1.88 1.63 1.38 1.17 1.02 0.91 0.82 0.74 0.70 0.70 0.75 0.81 0.83 0.79 0.68 0.57 0.53 0.58 0.73 0.88 0.98 0.98 0.89 0.76 0.64 0.56 0.53 0.51 0.48 0.42 0.36 0.32 0.30 0.33 0.42 0.59 0.84 1.15 1.48 72.5 + 75.0 1.91 2.22 2.43 2.54 2.55 2.49 2.41 2.32 2.26 2.24 2.26 2.35 2.47 2.59 2.68 2.70 2.65 2.57 2.49 2.43 2.39 2.34 2.27 2.14 1.98 1.82 1.71 1.67 1.74 1.89 2.09 2.27 2.36 2.31 2.13 1.86 1.57 1.32 1.15 1.04 0.98 0.94 0.93 0.95 1.00 1.06 1.11 1.11 1.07 1.00 0.97 1.00 1.08 1.17 1.24 1.23 1.18 1.10 1.03 0.98 0.95 0.92 0.88 0.83 0.78 0.74 0.72 0.74 0.81 0.98 1.23 1.56 1.91 2.22 2.43 2.54 2.55 2.49 2.41 2.32 2.26 2.24 2.26 2.35 2.47 2.59 2.68 2.70 2.65 2.57 2.49 2.43 2.39 2.34 2.27 2.14 1.98 1.82 1.71 1.67 1.74 1.89 2.09 2.27 2.36 2.31 2.13 1.86 1.57 1.32 1.15 1.04 0.98 0.94 0.93 0.95 1.00 1.06 1.11 1.11 1.07 1.00 0.97 1.00 1.08 1.17 1.24 1.23 1.18 1.10 1.03 0.98 0.95 0.92 0.88 0.83 0.78 0.74 0.72 0.74 0.81 0.98 1.23 1.56 1.91 75.0 + 77.5 2.20 2.48 2.64 2.67 2.59 2.45 2.32 2.22 2.18 2.20 2.28 2.39 2.52 2.62 2.67 2.68 2.66 2.63 2.63 2.64 2.65 2.64 2.58 2.48 2.35 2.23 2.14 2.11 2.16 2.26 2.41 2.56 2.64 2.61 2.44 2.16 1.83 1.53 1.29 1.14 1.06 1.02 1.01 1.03 1.08 1.15 1.22 1.28 1.30 1.31 1.31 1.33 1.36 1.38 1.39 1.37 1.35 1.32 1.31 1.29 1.25 1.20 1.13 1.06 1.02 0.99 1.00 1.04 1.13 1.30 1.55 1.87 2.20 2.48 2.64 2.67 2.59 2.45 2.32 2.22 2.18 2.20 2.28 2.39 2.52 2.62 2.67 2.68 2.66 2.63 2.63 2.64 2.65 2.64 2.58 2.48 2.35 2.23 2.14 2.11 2.16 2.26 2.41 2.56 2.64 2.61 2.44 2.16 1.83 1.53 1.29 1.14 1.06 1.02 1.01 1.03 1.08 1.15 1.22 1.28 1.30 1.31 1.31 1.33 1.36 1.38 1.39 1.37 1.35 1.32 1.31 1.29 1.25 1.20 1.13 1.06 1.02 0.99 1.00 1.04 1.13 1.30 1.55 1.87 2.20 77.5 + 80.0 2.23 2.46 2.56 2.53 2.38 2.17 1.98 1.86 1.83 1.89 2.01 2.14 2.26 2.32 2.32 2.29 2.27 2.30 2.37 2.47 2.54 2.57 2.54 2.47 2.39 2.33 2.31 2.33 2.38 2.47 2.58 2.70 2.79 2.80 2.68 2.43 2.10 1.73 1.40 1.14 0.98 0.89 0.85 0.86 0.89 0.94 1.02 1.10 1.19 1.27 1.33 1.36 1.35 1.32 1.27 1.23 1.23 1.26 1.31 1.33 1.29 1.20 1.09 1.00 0.96 0.97 1.03 1.12 1.25 1.42 1.66 1.95 2.23 2.46 2.56 2.53 2.38 2.17 1.98 1.86 1.83 1.89 2.01 2.14 2.26 2.32 2.32 2.29 2.27 2.30 2.37 2.47 2.54 2.57 2.54 2.47 2.39 2.33 2.31 2.33 2.38 2.47 2.58 2.70 2.79 2.80 2.68 2.43 2.10 1.73 1.40 1.14 0.98 0.89 0.85 0.86 0.89 0.94 1.02 1.10 1.19 1.27 1.33 1.36 1.35 1.32 1.27 1.23 1.23 1.26 1.31 1.33 1.29 1.20 1.09 1.00 0.96 0.97 1.03 1.12 1.25 1.42 1.66 1.95 2.23 80.0 + 82.5 2.01 2.17 2.22 2.13 1.93 1.67 1.43 1.26 1.22 1.30 1.45 1.60 1.69 1.70 1.63 1.54 1.51 1.56 1.70 1.87 2.02 2.08 2.07 2.02 1.99 2.00 2.06 2.15 2.24 2.33 2.43 2.56 2.69 2.77 2.75 2.59 2.28 1.88 1.46 1.08 0.80 0.62 0.52 0.48 0.47 0.49 0.53 0.61 0.73 0.86 0.97 1.02 1.00 0.92 0.82 0.77 0.79 0.88 0.99 1.06 1.04 0.93 0.78 0.66 0.62 0.67 0.79 0.96 1.14 1.33 1.55 1.78 2.01 2.17 2.22 2.13 1.93 1.67 1.43 1.26 1.22 1.30 1.45 1.60 1.69 1.70 1.63 1.54 1.51 1.56 1.70 1.87 2.02 2.08 2.07 2.02 1.99 2.00 2.06 2.15 2.24 2.33 2.43 2.56 2.69 2.77 2.75 2.59 2.28 1.88 1.46 1.08 0.80 0.62 0.52 0.48 0.47 0.49 0.53 0.61 0.73 0.86 0.97 1.02 1.00 0.92 0.82 0.77 0.79 0.88 0.99 1.06 1.04 0.93 0.78 0.66 0.62 0.67 0.79 0.96 1.14 1.33 1.55 1.78 2.01 82.5 + 85.0 1.63 1.73 1.73 1.61 1.38 1.08 0.79 0.59 0.52 0.60 0.75 0.91 0.99 0.94 0.80 0.65 0.57 0.63 0.81 1.03 1.22 1.30 1.30 1.25 1.24 1.30 1.42 1.57 1.70 1.81 1.93 2.08 2.28 2.48 2.61 2.59 2.38 2.00 1.53 1.06 0.66 0.39 0.22 0.13 0.07 0.03 0.01 0.05 0.15 0.29 0.42 0.50 0.47 0.35 0.21 0.13 0.16 0.29 0.47 0.60 0.62 0.51 0.34 0.19 0.15 0.24 0.42 0.66 0.89 1.10 1.29 1.47 1.63 1.73 1.73 1.61 1.38 1.08 0.79 0.59 0.52 0.60 0.75 0.91 0.99 0.94 0.80 0.65 0.57 0.63 0.81 1.03 1.22 1.30 1.30 1.25 1.24 1.30 1.42 1.57 1.70 1.81 1.93 2.08 2.28 2.48 2.61 2.59 2.38 2.00 1.53 1.06 0.66 0.39 0.22 0.13 0.07 0.03 0.01 0.05 0.15 0.29 0.42 0.50 0.47 0.35 0.21 0.13 0.16 0.29 0.47 0.60 0.62 0.51 0.34 0.19 0.15 0.24 0.42 0.66 0.89 1.10 1.29 1.47 1.63 85.0 + 87.5 1.29 1.32 1.28 1.14 0.90 0.59 0.27 0.04 0.00 0.01 0.17 0.33 0.40 0.32 0.13 0.00 0.00 0.00 0.01 0.25 0.44 0.53 0.51 0.44 0.42 0.48 0.62 0.79 0.95 1.08 1.22 1.41 1.69 2.01 2.30 2.46 2.40 2.12 1.68 1.19 0.74 0.41 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.19 0.24 0.14 0.00 0.00 0.00 0.00 0.11 0.39 0.67 0.90 1.07 1.20 1.29 1.32 1.28 1.14 0.90 0.59 0.27 0.04 0.00 0.01 0.17 0.33 0.40 0.32 0.13 0.00 0.00 0.00 0.01 0.25 0.44 0.53 0.51 0.44 0.42 0.48 0.62 0.79 0.95 1.08 1.22 1.41 1.69 2.01 2.30 2.46 2.40 2.12 1.68 1.19 0.74 0.41 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.19 0.24 0.14 0.00 0.00 0.00 0.00 0.11 0.39 0.67 0.90 1.07 1.20 1.29 87.5 + 90.0 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 90.0 + + 15.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.95 FMAX-I = 5.91 ) PHI2 = 15. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.0 + 2.5 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.57 1.34 1.11 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.36 0.41 0.53 0.70 0.91 1.13 1.36 1.60 1.85 2.08 2.25 2.30 2.23 2.05 1.80 1.55 1.30 1.08 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.07 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.57 1.34 1.11 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.36 0.41 0.53 0.70 0.91 1.13 1.36 1.60 1.85 2.08 2.25 2.30 2.23 2.05 1.80 1.55 1.30 1.08 2.5 + 5.0 0.95 0.73 0.53 0.37 0.27 0.25 0.28 0.32 0.30 0.20 0.03 0.00 0.00 0.00 0.00 0.20 0.38 0.48 0.48 0.43 0.39 0.42 0.52 0.69 0.90 1.14 1.40 1.66 1.90 2.09 2.18 2.16 2.03 1.82 1.57 1.32 1.07 0.84 0.65 0.53 0.47 0.48 0.49 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.27 0.32 0.32 0.33 0.39 0.52 0.71 0.93 1.16 1.42 1.70 1.99 2.25 2.43 2.46 2.35 2.11 1.80 1.49 1.20 0.95 0.73 0.53 0.37 0.27 0.25 0.28 0.32 0.30 0.20 0.03 0.00 0.00 0.00 0.00 0.20 0.38 0.48 0.48 0.43 0.39 0.42 0.52 0.69 0.90 1.14 1.40 1.66 1.90 2.09 2.18 2.16 2.03 1.82 1.57 1.32 1.07 0.84 0.65 0.53 0.47 0.48 0.49 0.45 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.14 0.27 0.32 0.32 0.33 0.39 0.52 0.71 0.93 1.16 1.42 1.70 1.99 2.25 2.43 2.46 2.35 2.11 1.80 1.49 1.20 0.95 5.0 + 7.5 0.75 0.53 0.35 0.20 0.11 0.10 0.17 0.26 0.31 0.29 0.19 0.05 0.00 0.00 0.08 0.26 0.44 0.53 0.52 0.43 0.32 0.27 0.31 0.45 0.66 0.92 1.20 1.47 1.72 1.91 2.03 2.04 1.94 1.75 1.50 1.22 0.94 0.70 0.54 0.46 0.47 0.52 0.55 0.51 0.38 0.18 0.00 0.00 0.00 0.00 0.16 0.30 0.36 0.37 0.34 0.35 0.43 0.58 0.77 0.99 1.23 1.49 1.80 2.13 2.41 2.59 2.60 2.43 2.11 1.73 1.35 1.02 0.75 0.53 0.35 0.20 0.11 0.10 0.17 0.26 0.31 0.29 0.19 0.05 0.00 0.00 0.08 0.26 0.44 0.53 0.52 0.43 0.32 0.27 0.31 0.45 0.66 0.92 1.20 1.47 1.72 1.91 2.03 2.04 1.94 1.75 1.50 1.22 0.94 0.70 0.54 0.46 0.47 0.52 0.55 0.51 0.38 0.18 0.00 0.00 0.00 0.00 0.16 0.30 0.36 0.37 0.34 0.35 0.43 0.58 0.77 0.99 1.23 1.49 1.80 2.13 2.41 2.59 2.60 2.43 2.11 1.73 1.35 1.02 0.75 7.5 + 10.0 0.50 0.31 0.15 0.03 0.00 0.00 0.01 0.14 0.25 0.29 0.24 0.12 0.00 0.00 0.01 0.17 0.35 0.47 0.47 0.37 0.21 0.09 0.08 0.19 0.40 0.67 0.95 1.22 1.45 1.63 1.75 1.79 1.74 1.58 1.33 1.03 0.73 0.48 0.35 0.33 0.40 0.51 0.57 0.53 0.39 0.19 0.03 0.00 0.05 0.22 0.39 0.51 0.53 0.49 0.46 0.48 0.58 0.74 0.92 1.11 1.31 1.56 1.86 2.19 2.48 2.64 2.61 2.38 1.99 1.54 1.11 0.76 0.50 0.31 0.15 0.03 0.00 0.00 0.01 0.14 0.25 0.29 0.24 0.12 0.00 0.00 0.01 0.17 0.35 0.47 0.47 0.37 0.21 0.09 0.08 0.19 0.40 0.67 0.95 1.22 1.45 1.63 1.75 1.79 1.74 1.58 1.33 1.03 0.73 0.48 0.35 0.33 0.40 0.51 0.57 0.53 0.39 0.19 0.03 0.00 0.05 0.22 0.39 0.51 0.53 0.49 0.46 0.48 0.58 0.74 0.92 1.11 1.31 1.56 1.86 2.19 2.48 2.64 2.61 2.38 1.99 1.54 1.11 0.76 0.50 10.0 + 12.5 0.23 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.18 0.05 0.00 0.00 0.00 0.00 0.15 0.32 0.36 0.28 0.10 0.00 0.00 0.00 0.18 0.45 0.72 0.96 1.15 1.31 1.42 1.48 1.47 1.34 1.11 0.81 0.50 0.25 0.14 0.18 0.32 0.48 0.56 0.51 0.35 0.16 0.03 0.04 0.19 0.42 0.62 0.72 0.72 0.67 0.64 0.69 0.81 0.98 1.14 1.28 1.42 1.60 1.86 2.15 2.41 2.54 2.46 2.18 1.74 1.25 0.80 0.46 0.23 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.18 0.05 0.00 0.00 0.00 0.00 0.15 0.32 0.36 0.28 0.10 0.00 0.00 0.00 0.18 0.45 0.72 0.96 1.15 1.31 1.42 1.48 1.47 1.34 1.11 0.81 0.50 0.25 0.14 0.18 0.32 0.48 0.56 0.51 0.35 0.16 0.03 0.04 0.19 0.42 0.62 0.72 0.72 0.67 0.64 0.69 0.81 0.98 1.14 1.28 1.42 1.60 1.86 2.15 2.41 2.54 2.46 2.18 1.74 1.25 0.80 0.46 0.23 12.5 + 15.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.23 0.07 0.00 0.00 0.00 0.08 0.34 0.59 0.79 0.94 1.06 1.16 1.23 1.25 1.17 0.97 0.67 0.36 0.11 0.02 0.09 0.28 0.47 0.57 0.52 0.34 0.13 0.01 0.07 0.27 0.55 0.78 0.89 0.88 0.83 0.82 0.90 1.06 1.24 1.38 1.46 1.53 1.63 1.81 2.04 2.24 2.33 2.22 1.91 1.44 0.93 0.49 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.23 0.07 0.00 0.00 0.00 0.08 0.34 0.59 0.79 0.94 1.06 1.16 1.23 1.25 1.17 0.97 0.67 0.36 0.11 0.02 0.09 0.28 0.47 0.57 0.52 0.34 0.13 0.01 0.07 0.27 0.55 0.78 0.89 0.88 0.83 0.82 0.90 1.06 1.24 1.38 1.46 1.53 1.63 1.81 2.04 2.24 2.33 2.22 1.91 1.44 0.93 0.49 0.17 0.00 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.32 0.17 0.00 0.00 0.00 0.13 0.38 0.62 0.79 0.90 0.98 1.07 1.15 1.20 1.16 0.98 0.70 0.39 0.14 0.04 0.12 0.32 0.53 0.64 0.58 0.38 0.16 0.03 0.09 0.32 0.62 0.86 0.97 0.96 0.91 0.92 1.03 1.23 1.43 1.58 1.64 1.64 1.66 1.75 1.90 2.05 2.10 1.98 1.66 1.20 0.69 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.32 0.17 0.00 0.00 0.00 0.13 0.38 0.62 0.79 0.90 0.98 1.07 1.15 1.20 1.16 0.98 0.70 0.39 0.14 0.04 0.12 0.32 0.53 0.64 0.58 0.38 0.16 0.03 0.09 0.32 0.62 0.86 0.97 0.96 0.91 0.92 1.03 1.23 1.43 1.58 1.64 1.64 1.66 1.75 1.90 2.05 2.10 1.98 1.66 1.20 0.69 0.26 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.37 0.28 0.06 0.00 0.00 0.00 0.04 0.34 0.54 0.56 0.42 0.22 0.10 0.13 0.30 0.54 0.77 0.93 1.03 1.09 1.16 1.25 1.31 1.30 1.15 0.89 0.57 0.31 0.18 0.24 0.42 0.64 0.75 0.69 0.49 0.25 0.11 0.15 0.37 0.66 0.90 1.01 0.99 0.94 0.94 1.08 1.30 1.55 1.72 1.78 1.75 1.71 1.72 1.79 1.89 1.92 1.81 1.52 1.08 0.59 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.37 0.28 0.06 0.00 0.00 0.00 0.04 0.34 0.54 0.56 0.42 0.22 0.10 0.13 0.30 0.54 0.77 0.93 1.03 1.09 1.16 1.25 1.31 1.30 1.15 0.89 0.57 0.31 0.18 0.24 0.42 0.64 0.75 0.69 0.49 0.25 0.11 0.15 0.37 0.66 0.90 1.01 0.99 0.94 0.94 1.08 1.30 1.55 1.72 1.78 1.75 1.71 1.72 1.79 1.89 1.92 1.81 1.52 1.08 0.59 0.16 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.01 0.03 0.01 0.04 0.17 0.39 0.63 0.77 0.73 0.53 0.27 0.12 0.16 0.39 0.67 0.87 0.89 0.74 0.52 0.37 0.37 0.52 0.75 0.97 1.13 1.22 1.27 1.33 1.41 1.47 1.47 1.34 1.10 0.79 0.51 0.34 0.35 0.51 0.71 0.83 0.81 0.63 0.40 0.25 0.26 0.46 0.74 0.98 1.10 1.09 1.02 1.01 1.13 1.37 1.64 1.84 1.92 1.88 1.79 1.73 1.73 1.78 1.81 1.73 1.48 1.09 0.62 0.19 0.00 0.00 0.00 0.00 0.01 0.03 0.01 0.04 0.17 0.39 0.63 0.77 0.73 0.53 0.27 0.12 0.16 0.39 0.67 0.87 0.89 0.74 0.52 0.37 0.37 0.52 0.75 0.97 1.13 1.22 1.27 1.33 1.41 1.47 1.47 1.34 1.10 0.79 0.51 0.34 0.35 0.51 0.71 0.83 0.81 0.63 0.40 0.25 0.26 0.46 0.74 0.98 1.10 1.09 1.02 1.01 1.13 1.37 1.64 1.84 1.92 1.88 1.79 1.73 1.73 1.78 1.81 1.73 1.48 1.09 0.62 0.19 0.00 0.00 22.5 + 25.0 0.00 0.00 0.11 0.23 0.28 0.28 0.31 0.45 0.71 1.00 1.20 1.21 1.03 0.77 0.58 0.57 0.74 1.00 1.18 1.18 1.02 0.78 0.59 0.55 0.66 0.86 1.07 1.22 1.31 1.35 1.40 1.46 1.51 1.50 1.40 1.19 0.90 0.62 0.42 0.38 0.50 0.68 0.84 0.87 0.75 0.57 0.43 0.44 0.64 0.94 1.23 1.40 1.41 1.34 1.30 1.36 1.56 1.81 2.02 2.11 2.05 1.91 1.78 1.71 1.71 1.74 1.69 1.51 1.17 0.73 0.31 0.02 0.00 0.00 0.11 0.23 0.28 0.28 0.31 0.45 0.71 1.00 1.20 1.21 1.03 0.77 0.58 0.57 0.74 1.00 1.18 1.18 1.02 0.78 0.59 0.55 0.66 0.86 1.07 1.22 1.31 1.35 1.40 1.46 1.51 1.50 1.40 1.19 0.90 0.62 0.42 0.38 0.50 0.68 0.84 0.87 0.75 0.57 0.43 0.44 0.64 0.94 1.23 1.40 1.41 1.34 1.30 1.36 1.56 1.81 2.02 2.11 2.05 1.91 1.78 1.71 1.71 1.74 1.69 1.51 1.17 0.73 0.31 0.02 0.00 25.0 + 27.5 0.08 0.18 0.36 0.52 0.59 0.58 0.60 0.73 0.98 1.30 1.53 1.57 1.40 1.12 0.88 0.82 0.94 1.15 1.31 1.31 1.14 0.88 0.66 0.58 0.64 0.80 0.98 1.12 1.19 1.22 1.24 1.27 1.30 1.31 1.24 1.09 0.85 0.60 0.39 0.32 0.39 0.58 0.77 0.88 0.86 0.75 0.67 0.72 0.96 1.33 1.72 1.99 2.07 2.01 1.92 1.90 2.00 2.18 2.34 2.39 2.29 2.09 1.86 1.71 1.66 1.67 1.67 1.54 1.26 0.86 0.46 0.17 0.08 0.18 0.36 0.52 0.59 0.58 0.60 0.73 0.98 1.30 1.53 1.57 1.40 1.12 0.88 0.82 0.94 1.15 1.31 1.31 1.14 0.88 0.66 0.58 0.64 0.80 0.98 1.12 1.19 1.22 1.24 1.27 1.30 1.31 1.24 1.09 0.85 0.60 0.39 0.32 0.39 0.58 0.77 0.88 0.86 0.75 0.67 0.72 0.96 1.33 1.72 1.99 2.07 2.01 1.92 1.90 2.00 2.18 2.34 2.39 2.29 2.09 1.86 1.71 1.66 1.67 1.67 1.54 1.26 0.86 0.46 0.17 0.08 27.5 + 30.0 0.29 0.42 0.65 0.84 0.91 0.89 0.86 0.94 1.16 1.45 1.68 1.71 1.53 1.22 0.93 0.81 0.89 1.07 1.22 1.22 1.05 0.79 0.55 0.43 0.44 0.55 0.69 0.80 0.86 0.87 0.86 0.87 0.90 0.92 0.92 0.85 0.71 0.52 0.34 0.25 0.30 0.48 0.72 0.92 1.00 0.99 0.98 1.10 1.42 1.90 2.44 2.86 3.06 3.03 2.89 2.74 2.69 2.74 2.80 2.77 2.60 2.30 1.97 1.73 1.62 1.62 1.64 1.57 1.34 0.98 0.61 0.34 0.29 0.42 0.65 0.84 0.91 0.89 0.86 0.94 1.16 1.45 1.68 1.71 1.53 1.22 0.93 0.81 0.89 1.07 1.22 1.22 1.05 0.79 0.55 0.43 0.44 0.55 0.69 0.80 0.86 0.87 0.86 0.87 0.90 0.92 0.92 0.85 0.71 0.52 0.34 0.25 0.30 0.48 0.72 0.92 1.00 0.99 0.98 1.10 1.42 1.90 2.44 2.86 3.06 3.03 2.89 2.74 2.69 2.74 2.80 2.77 2.60 2.30 1.97 1.73 1.62 1.62 1.64 1.57 1.34 0.98 0.61 0.34 0.29 30.0 + 32.5 0.50 0.67 0.93 1.15 1.21 1.15 1.06 1.08 1.24 1.49 1.68 1.69 1.47 1.11 0.77 0.60 0.63 0.79 0.94 0.96 0.81 0.56 0.31 0.16 0.14 0.21 0.32 0.41 0.45 0.45 0.44 0.44 0.47 0.54 0.62 0.66 0.63 0.52 0.38 0.29 0.32 0.50 0.78 1.05 1.24 1.32 1.39 1.57 1.96 2.57 3.26 3.86 4.19 4.22 4.03 3.75 3.53 3.40 3.32 3.18 2.91 2.52 2.11 1.78 1.62 1.62 1.66 1.64 1.45 1.13 0.77 0.53 0.50 0.67 0.93 1.15 1.21 1.15 1.06 1.08 1.24 1.49 1.68 1.69 1.47 1.11 0.77 0.60 0.63 0.79 0.94 0.96 0.81 0.56 0.31 0.16 0.14 0.21 0.32 0.41 0.45 0.45 0.44 0.44 0.47 0.54 0.62 0.66 0.63 0.52 0.38 0.29 0.32 0.50 0.78 1.05 1.24 1.32 1.39 1.57 1.96 2.57 3.26 3.86 4.19 4.22 4.03 3.75 3.53 3.40 3.32 3.18 2.91 2.52 2.11 1.78 1.62 1.62 1.66 1.64 1.45 1.13 0.77 0.53 0.50 32.5 + 35.0 0.71 0.90 1.18 1.40 1.45 1.36 1.23 1.19 1.30 1.51 1.67 1.64 1.38 0.97 0.57 0.35 0.34 0.49 0.65 0.69 0.57 0.33 0.08 0.00 0.00 0.00 0.04 0.13 0.18 0.19 0.18 0.19 0.24 0.36 0.51 0.66 0.73 0.71 0.61 0.52 0.53 0.69 0.98 1.30 1.56 1.70 1.81 2.03 2.47 3.16 3.99 4.73 5.19 5.28 5.05 4.65 4.26 3.97 3.75 3.51 3.17 2.71 2.24 1.87 1.69 1.70 1.78 1.80 1.65 1.34 0.98 0.74 0.71 0.90 1.18 1.40 1.45 1.36 1.23 1.19 1.30 1.51 1.67 1.64 1.38 0.97 0.57 0.35 0.34 0.49 0.65 0.69 0.57 0.33 0.08 0.00 0.00 0.00 0.04 0.13 0.18 0.19 0.18 0.19 0.24 0.36 0.51 0.66 0.73 0.71 0.61 0.52 0.53 0.69 0.98 1.30 1.56 1.70 1.81 2.03 2.47 3.16 3.99 4.73 5.19 5.28 5.05 4.65 4.26 3.97 3.75 3.51 3.17 2.71 2.24 1.87 1.69 1.70 1.78 1.80 1.65 1.34 0.98 0.74 0.71 35.0 + 37.5 0.94 1.10 1.37 1.58 1.63 1.53 1.39 1.33 1.44 1.64 1.79 1.74 1.44 0.97 0.52 0.23 0.19 0.32 0.49 0.55 0.45 0.23 0.00 0.00 0.00 0.00 0.00 0.12 0.19 0.22 0.23 0.25 0.32 0.47 0.68 0.89 1.04 1.06 0.98 0.87 0.84 0.97 1.25 1.59 1.87 2.04 2.15 2.35 2.78 3.49 4.38 5.21 5.76 5.90 5.65 5.18 4.68 4.26 3.95 3.65 3.27 2.81 2.34 1.98 1.82 1.87 2.01 2.07 1.95 1.65 1.27 1.00 0.94 1.10 1.37 1.58 1.63 1.53 1.39 1.33 1.44 1.64 1.79 1.74 1.44 0.97 0.52 0.23 0.19 0.32 0.49 0.55 0.45 0.23 0.00 0.00 0.00 0.00 0.00 0.12 0.19 0.22 0.23 0.25 0.32 0.47 0.68 0.89 1.04 1.06 0.98 0.87 0.84 0.97 1.25 1.59 1.87 2.04 2.15 2.35 2.78 3.49 4.38 5.21 5.76 5.90 5.65 5.18 4.68 4.26 3.95 3.65 3.27 2.81 2.34 1.98 1.82 1.87 2.01 2.07 1.95 1.65 1.27 1.00 0.94 37.5 + 40.0 1.18 1.30 1.53 1.73 1.79 1.71 1.60 1.58 1.72 1.96 2.13 2.08 1.76 1.25 0.73 0.38 0.29 0.40 0.57 0.64 0.55 0.34 0.11 0.00 0.00 0.06 0.23 0.39 0.49 0.54 0.55 0.58 0.66 0.81 1.03 1.25 1.40 1.42 1.32 1.17 1.10 1.19 1.44 1.76 2.04 2.19 2.26 2.40 2.76 3.42 4.29 5.14 5.74 5.91 5.67 5.17 4.62 4.17 3.83 3.53 3.19 2.77 2.35 2.05 1.95 2.07 2.27 2.39 2.31 2.01 1.62 1.30 1.18 1.30 1.53 1.73 1.79 1.71 1.60 1.58 1.72 1.96 2.13 2.08 1.76 1.25 0.73 0.38 0.29 0.40 0.57 0.64 0.55 0.34 0.11 0.00 0.00 0.06 0.23 0.39 0.49 0.54 0.55 0.58 0.66 0.81 1.03 1.25 1.40 1.42 1.32 1.17 1.10 1.19 1.44 1.76 2.04 2.19 2.26 2.40 2.76 3.42 4.29 5.14 5.74 5.91 5.67 5.17 4.62 4.17 3.83 3.53 3.19 2.77 2.35 2.05 1.95 2.07 2.27 2.39 2.31 2.01 1.62 1.30 1.18 40.0 + 42.5 1.44 1.50 1.70 1.90 1.98 1.95 1.91 1.97 2.19 2.49 2.71 2.69 2.35 1.80 1.21 0.80 0.65 0.72 0.86 0.93 0.85 0.64 0.41 0.28 0.30 0.45 0.65 0.83 0.95 0.99 0.99 1.00 1.05 1.17 1.35 1.52 1.62 1.59 1.44 1.26 1.15 1.20 1.42 1.70 1.94 2.05 2.06 2.12 2.38 2.94 3.72 4.53 5.12 5.31 5.09 4.63 4.11 3.69 3.40 3.18 2.92 2.59 2.25 2.02 2.00 2.18 2.46 2.65 2.62 2.35 1.95 1.60 1.44 1.50 1.70 1.90 1.98 1.95 1.91 1.97 2.19 2.49 2.71 2.69 2.35 1.80 1.21 0.80 0.65 0.72 0.86 0.93 0.85 0.64 0.41 0.28 0.30 0.45 0.65 0.83 0.95 0.99 0.99 1.00 1.05 1.17 1.35 1.52 1.62 1.59 1.44 1.26 1.15 1.20 1.42 1.70 1.94 2.05 2.06 2.12 2.38 2.94 3.72 4.53 5.12 5.31 5.09 4.63 4.11 3.69 3.40 3.18 2.92 2.59 2.25 2.02 2.00 2.18 2.46 2.65 2.62 2.35 1.95 1.60 1.44 42.5 + 45.0 1.68 1.72 1.91 2.12 2.26 2.31 2.36 2.51 2.82 3.19 3.47 3.47 3.13 2.54 1.89 1.39 1.16 1.17 1.28 1.32 1.23 1.01 0.78 0.66 0.70 0.87 1.08 1.26 1.35 1.36 1.31 1.27 1.28 1.34 1.44 1.53 1.55 1.46 1.27 1.07 0.94 0.97 1.16 1.41 1.61 1.67 1.62 1.59 1.75 2.18 2.85 3.56 4.10 4.29 4.12 3.72 3.29 2.97 2.79 2.67 2.51 2.28 2.02 1.86 1.90 2.14 2.48 2.74 2.78 2.57 2.20 1.86 1.68 1.72 1.91 2.12 2.26 2.31 2.36 2.51 2.82 3.19 3.47 3.47 3.13 2.54 1.89 1.39 1.16 1.17 1.28 1.32 1.23 1.01 0.78 0.66 0.70 0.87 1.08 1.26 1.35 1.36 1.31 1.27 1.28 1.34 1.44 1.53 1.55 1.46 1.27 1.07 0.94 0.97 1.16 1.41 1.61 1.67 1.62 1.59 1.75 2.18 2.85 3.56 4.10 4.29 4.12 3.72 3.29 2.97 2.79 2.67 2.51 2.28 2.02 1.86 1.90 2.14 2.48 2.74 2.78 2.57 2.20 1.86 1.68 45.0 + 47.5 1.87 1.93 2.16 2.42 2.63 2.76 2.90 3.14 3.52 3.95 4.27 4.30 3.97 3.35 2.63 2.05 1.73 1.65 1.69 1.69 1.57 1.33 1.10 0.98 1.02 1.18 1.37 1.51 1.54 1.47 1.36 1.26 1.21 1.22 1.25 1.26 1.20 1.07 0.87 0.68 0.58 0.62 0.79 1.01 1.17 1.19 1.10 1.01 1.07 1.38 1.92 2.52 2.99 3.16 3.03 2.71 2.39 2.19 2.12 2.12 2.07 1.92 1.71 1.58 1.64 1.90 2.27 2.59 2.71 2.59 2.30 2.01 1.87 1.93 2.16 2.42 2.63 2.76 2.90 3.14 3.52 3.95 4.27 4.30 3.97 3.35 2.63 2.05 1.73 1.65 1.69 1.69 1.57 1.33 1.10 0.98 1.02 1.18 1.37 1.51 1.54 1.47 1.36 1.26 1.21 1.22 1.25 1.26 1.20 1.07 0.87 0.68 0.58 0.62 0.79 1.01 1.17 1.19 1.10 1.01 1.07 1.38 1.92 2.52 2.99 3.16 3.03 2.71 2.39 2.19 2.12 2.12 2.07 1.92 1.71 1.58 1.64 1.90 2.27 2.59 2.71 2.59 2.30 2.01 1.87 47.5 + 50.0 1.96 2.09 2.38 2.72 3.01 3.24 3.47 3.77 4.19 4.65 4.99 5.05 4.73 4.10 3.34 2.68 2.26 2.08 2.02 1.96 1.79 1.53 1.28 1.15 1.17 1.30 1.45 1.52 1.47 1.32 1.14 0.99 0.90 0.87 0.85 0.82 0.73 0.59 0.43 0.29 0.24 0.31 0.48 0.69 0.82 0.82 0.70 0.57 0.57 0.78 1.19 1.67 2.05 2.18 2.07 1.83 1.60 1.50 1.54 1.63 1.66 1.55 1.37 1.24 1.27 1.51 1.88 2.23 2.42 2.40 2.21 2.02 1.96 2.09 2.38 2.72 3.01 3.24 3.47 3.77 4.19 4.65 4.99 5.05 4.73 4.10 3.34 2.68 2.26 2.08 2.02 1.96 1.79 1.53 1.28 1.15 1.17 1.30 1.45 1.52 1.47 1.32 1.14 0.99 0.90 0.87 0.85 0.82 0.73 0.59 0.43 0.29 0.24 0.31 0.48 0.69 0.82 0.82 0.70 0.57 0.57 0.78 1.19 1.67 2.05 2.18 2.07 1.83 1.60 1.50 1.54 1.63 1.66 1.55 1.37 1.24 1.27 1.51 1.88 2.23 2.42 2.40 2.21 2.02 1.96 50.0 + 52.5 1.91 2.13 2.50 2.93 3.32 3.63 3.92 4.26 4.69 5.15 5.50 5.58 5.29 4.68 3.92 3.21 2.70 2.41 2.25 2.10 1.88 1.59 1.33 1.18 1.17 1.26 1.34 1.35 1.23 1.03 0.81 0.63 0.53 0.48 0.45 0.41 0.34 0.24 0.14 0.07 0.08 0.19 0.37 0.56 0.68 0.68 0.56 0.41 0.36 0.48 0.78 1.15 1.43 1.52 1.42 1.21 1.04 1.00 1.11 1.25 1.30 1.22 1.03 0.87 0.85 1.04 1.38 1.73 1.97 2.03 1.96 1.87 1.91 2.13 2.50 2.93 3.32 3.63 3.92 4.26 4.69 5.15 5.50 5.58 5.29 4.68 3.92 3.21 2.70 2.41 2.25 2.10 1.88 1.59 1.33 1.18 1.17 1.26 1.34 1.35 1.23 1.03 0.81 0.63 0.53 0.48 0.45 0.41 0.34 0.24 0.14 0.07 0.08 0.19 0.37 0.56 0.68 0.68 0.56 0.41 0.36 0.48 0.78 1.15 1.43 1.52 1.42 1.21 1.04 1.00 1.11 1.25 1.30 1.22 1.03 0.87 0.85 1.04 1.38 1.73 1.97 2.03 1.96 1.87 1.91 52.5 + 55.0 1.70 2.01 2.46 2.96 3.43 3.81 4.14 4.49 4.90 5.34 5.68 5.78 5.56 5.02 4.31 3.59 3.02 2.64 2.38 2.15 1.88 1.57 1.29 1.11 1.07 1.12 1.17 1.13 0.99 0.78 0.55 0.38 0.28 0.25 0.23 0.22 0.18 0.13 0.09 0.09 0.14 0.27 0.45 0.63 0.74 0.74 0.63 0.48 0.39 0.45 0.65 0.92 1.13 1.18 1.06 0.86 0.71 0.68 0.79 0.94 1.00 0.91 0.71 0.51 0.44 0.56 0.85 1.18 1.44 1.56 1.57 1.58 1.70 2.01 2.46 2.96 3.43 3.81 4.14 4.49 4.90 5.34 5.68 5.78 5.56 5.02 4.31 3.59 3.02 2.64 2.38 2.15 1.88 1.57 1.29 1.11 1.07 1.12 1.17 1.13 0.99 0.78 0.55 0.38 0.28 0.25 0.23 0.22 0.18 0.13 0.09 0.09 0.14 0.27 0.45 0.63 0.74 0.74 0.63 0.48 0.39 0.45 0.65 0.92 1.13 1.18 1.06 0.86 0.71 0.68 0.79 0.94 1.00 0.91 0.71 0.51 0.44 0.56 0.85 1.18 1.44 1.56 1.57 1.58 1.70 55.0 + 57.5 1.37 1.73 2.22 2.78 3.29 3.72 4.07 4.40 4.76 5.15 5.47 5.61 5.47 5.05 4.44 3.78 3.21 2.77 2.44 2.15 1.84 1.52 1.23 1.04 0.97 0.99 1.02 0.98 0.86 0.68 0.50 0.36 0.29 0.27 0.27 0.28 0.27 0.26 0.25 0.27 0.32 0.43 0.59 0.75 0.86 0.87 0.77 0.62 0.51 0.51 0.65 0.85 1.01 1.04 0.91 0.70 0.53 0.48 0.55 0.66 0.70 0.61 0.40 0.18 0.07 0.13 0.36 0.66 0.91 1.05 1.11 1.19 1.37 1.73 2.22 2.78 3.29 3.72 4.07 4.40 4.76 5.15 5.47 5.61 5.47 5.05 4.44 3.78 3.21 2.77 2.44 2.15 1.84 1.52 1.23 1.04 0.97 0.99 1.02 0.98 0.86 0.68 0.50 0.36 0.29 0.27 0.27 0.28 0.27 0.26 0.25 0.27 0.32 0.43 0.59 0.75 0.86 0.87 0.77 0.62 0.51 0.51 0.65 0.85 1.01 1.04 0.91 0.70 0.53 0.48 0.55 0.66 0.70 0.61 0.40 0.18 0.07 0.13 0.36 0.66 0.91 1.05 1.11 1.19 1.37 57.5 + 60.0 0.99 1.37 1.87 2.43 2.95 3.38 3.71 4.00 4.30 4.62 4.91 5.07 5.04 4.76 4.30 3.76 3.24 2.80 2.44 2.12 1.80 1.48 1.20 1.00 0.91 0.91 0.93 0.93 0.87 0.77 0.66 0.58 0.54 0.52 0.53 0.53 0.52 0.50 0.48 0.47 0.48 0.54 0.64 0.77 0.87 0.89 0.81 0.67 0.54 0.50 0.59 0.76 0.91 0.95 0.83 0.62 0.42 0.31 0.32 0.38 0.39 0.30 0.10 0.00 0.00 0.00 0.00 0.21 0.43 0.58 0.67 0.78 0.99 1.37 1.87 2.43 2.95 3.38 3.71 4.00 4.30 4.62 4.91 5.07 5.04 4.76 4.30 3.76 3.24 2.80 2.44 2.12 1.80 1.48 1.20 1.00 0.91 0.91 0.93 0.93 0.87 0.77 0.66 0.58 0.54 0.52 0.53 0.53 0.52 0.50 0.48 0.47 0.48 0.54 0.64 0.77 0.87 0.89 0.81 0.67 0.54 0.50 0.59 0.76 0.91 0.95 0.83 0.62 0.42 0.31 0.32 0.38 0.39 0.30 0.10 0.00 0.00 0.00 0.00 0.21 0.43 0.58 0.67 0.78 0.99 60.0 + 62.5 0.67 1.04 1.52 2.04 2.52 2.91 3.19 3.42 3.63 3.87 4.11 4.29 4.35 4.22 3.94 3.54 3.12 2.73 2.39 2.08 1.77 1.47 1.21 1.00 0.90 0.87 0.90 0.94 0.96 0.96 0.94 0.92 0.91 0.89 0.86 0.82 0.78 0.73 0.66 0.59 0.54 0.52 0.55 0.64 0.72 0.75 0.69 0.55 0.41 0.35 0.42 0.58 0.75 0.82 0.74 0.54 0.32 0.16 0.11 0.12 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.31 0.44 0.67 1.04 1.52 2.04 2.52 2.91 3.19 3.42 3.63 3.87 4.11 4.29 4.35 4.22 3.94 3.54 3.12 2.73 2.39 2.08 1.77 1.47 1.21 1.00 0.90 0.87 0.90 0.94 0.96 0.96 0.94 0.92 0.91 0.89 0.86 0.82 0.78 0.73 0.66 0.59 0.54 0.52 0.55 0.64 0.72 0.75 0.69 0.55 0.41 0.35 0.42 0.58 0.75 0.82 0.74 0.54 0.32 0.16 0.11 0.12 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.20 0.31 0.44 0.67 62.5 + 65.0 0.52 0.88 1.31 1.76 2.16 2.47 2.67 2.81 2.94 3.09 3.27 3.45 3.58 3.59 3.47 3.23 2.93 2.62 2.32 2.04 1.78 1.51 1.26 1.06 0.93 0.88 0.90 0.97 1.06 1.15 1.23 1.27 1.28 1.24 1.16 1.06 0.96 0.85 0.74 0.61 0.50 0.42 0.40 0.44 0.50 0.53 0.47 0.34 0.20 0.13 0.19 0.36 0.56 0.68 0.65 0.48 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.27 0.52 0.88 1.31 1.76 2.16 2.47 2.67 2.81 2.94 3.09 3.27 3.45 3.58 3.59 3.47 3.23 2.93 2.62 2.32 2.04 1.78 1.51 1.26 1.06 0.93 0.88 0.90 0.97 1.06 1.15 1.23 1.27 1.28 1.24 1.16 1.06 0.96 0.85 0.74 0.61 0.50 0.42 0.40 0.44 0.50 0.53 0.47 0.34 0.20 0.13 0.19 0.36 0.56 0.68 0.65 0.48 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.27 0.52 65.0 + 67.5 0.60 0.95 1.33 1.69 1.98 2.18 2.30 2.35 2.39 2.46 2.59 2.75 2.92 3.03 3.04 2.94 2.76 2.54 2.31 2.08 1.85 1.63 1.40 1.20 1.04 0.96 0.95 1.03 1.16 1.32 1.46 1.55 1.57 1.50 1.37 1.20 1.04 0.88 0.74 0.60 0.46 0.36 0.30 0.32 0.36 0.38 0.33 0.21 0.07 0.00 0.06 0.23 0.45 0.60 0.61 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.60 0.95 1.33 1.69 1.98 2.18 2.30 2.35 2.39 2.46 2.59 2.75 2.92 3.03 3.04 2.94 2.76 2.54 2.31 2.08 1.85 1.63 1.40 1.20 1.04 0.96 0.95 1.03 1.16 1.32 1.46 1.55 1.57 1.50 1.37 1.20 1.04 0.88 0.74 0.60 0.46 0.36 0.30 0.32 0.36 0.38 0.33 0.21 0.07 0.00 0.06 0.23 0.45 0.60 0.61 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.60 67.5 + 70.0 0.91 1.25 1.57 1.83 2.00 2.10 2.11 2.09 2.07 2.09 2.18 2.33 2.51 2.68 2.77 2.78 2.69 2.55 2.39 2.22 2.04 1.85 1.65 1.44 1.26 1.14 1.11 1.17 1.30 1.49 1.67 1.79 1.81 1.71 1.53 1.30 1.07 0.89 0.74 0.62 0.51 0.43 0.38 0.38 0.41 0.43 0.39 0.29 0.17 0.11 0.16 0.31 0.52 0.67 0.71 0.61 0.44 0.27 0.17 0.13 0.13 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.06 0.17 0.35 0.60 0.91 1.25 1.57 1.83 2.00 2.10 2.11 2.09 2.07 2.09 2.18 2.33 2.51 2.68 2.77 2.78 2.69 2.55 2.39 2.22 2.04 1.85 1.65 1.44 1.26 1.14 1.11 1.17 1.30 1.49 1.67 1.79 1.81 1.71 1.53 1.30 1.07 0.89 0.74 0.62 0.51 0.43 0.38 0.38 0.41 0.43 0.39 0.29 0.17 0.11 0.16 0.31 0.52 0.67 0.71 0.61 0.44 0.27 0.17 0.13 0.13 0.12 0.08 0.03 0.00 0.00 0.00 0.00 0.06 0.17 0.35 0.60 0.91 70.0 + 72.5 1.34 1.66 1.93 2.09 2.16 2.15 2.08 2.01 1.96 1.96 2.04 2.18 2.36 2.54 2.67 2.73 2.72 2.65 2.56 2.45 2.33 2.18 2.00 1.80 1.61 1.47 1.41 1.44 1.56 1.73 1.91 2.03 2.04 1.92 1.69 1.41 1.14 0.93 0.79 0.70 0.65 0.61 0.59 0.61 0.64 0.66 0.64 0.57 0.49 0.45 0.49 0.61 0.77 0.89 0.92 0.84 0.71 0.58 0.50 0.48 0.49 0.50 0.48 0.44 0.40 0.36 0.34 0.35 0.40 0.52 0.72 1.01 1.34 1.66 1.93 2.09 2.16 2.15 2.08 2.01 1.96 1.96 2.04 2.18 2.36 2.54 2.67 2.73 2.72 2.65 2.56 2.45 2.33 2.18 2.00 1.80 1.61 1.47 1.41 1.44 1.56 1.73 1.91 2.03 2.04 1.92 1.69 1.41 1.14 0.93 0.79 0.70 0.65 0.61 0.59 0.61 0.64 0.66 0.64 0.57 0.49 0.45 0.49 0.61 0.77 0.89 0.92 0.84 0.71 0.58 0.50 0.48 0.49 0.50 0.48 0.44 0.40 0.36 0.34 0.35 0.40 0.52 0.72 1.01 1.34 72.5 + 75.0 1.74 2.04 2.25 2.33 2.30 2.20 2.07 1.97 1.92 1.94 2.03 2.17 2.34 2.51 2.63 2.70 2.72 2.72 2.70 2.67 2.61 2.50 2.36 2.18 2.02 1.89 1.82 1.84 1.93 2.06 2.21 2.30 2.29 2.16 1.90 1.58 1.27 1.03 0.87 0.80 0.77 0.78 0.79 0.83 0.87 0.90 0.91 0.89 0.86 0.85 0.90 0.99 1.09 1.15 1.14 1.07 0.97 0.89 0.86 0.86 0.88 0.88 0.86 0.82 0.78 0.75 0.73 0.73 0.78 0.90 1.11 1.41 1.74 2.04 2.25 2.33 2.30 2.20 2.07 1.97 1.92 1.94 2.03 2.17 2.34 2.51 2.63 2.70 2.72 2.72 2.70 2.67 2.61 2.50 2.36 2.18 2.02 1.89 1.82 1.84 1.93 2.06 2.21 2.30 2.29 2.16 1.90 1.58 1.27 1.03 0.87 0.80 0.77 0.78 0.79 0.83 0.87 0.90 0.91 0.89 0.86 0.85 0.90 0.99 1.09 1.15 1.14 1.07 0.97 0.89 0.86 0.86 0.88 0.88 0.86 0.82 0.78 0.75 0.73 0.73 0.78 0.90 1.11 1.41 1.74 75.0 + 77.5 1.97 2.23 2.38 2.40 2.29 2.11 1.94 1.82 1.78 1.84 1.96 2.12 2.27 2.39 2.46 2.51 2.54 2.59 2.66 2.71 2.72 2.67 2.57 2.43 2.31 2.23 2.20 2.23 2.29 2.39 2.49 2.54 2.53 2.39 2.15 1.82 1.48 1.18 0.96 0.84 0.79 0.79 0.82 0.86 0.91 0.96 1.00 1.02 1.04 1.09 1.15 1.22 1.27 1.26 1.20 1.12 1.05 1.03 1.06 1.11 1.13 1.11 1.06 1.00 0.96 0.95 0.96 0.99 1.05 1.18 1.39 1.67 1.97 2.23 2.38 2.40 2.29 2.11 1.94 1.82 1.78 1.84 1.96 2.12 2.27 2.39 2.46 2.51 2.54 2.59 2.66 2.71 2.72 2.67 2.57 2.43 2.31 2.23 2.20 2.23 2.29 2.39 2.49 2.54 2.53 2.39 2.15 1.82 1.48 1.18 0.96 0.84 0.79 0.79 0.82 0.86 0.91 0.96 1.00 1.02 1.04 1.09 1.15 1.22 1.27 1.26 1.20 1.12 1.05 1.03 1.06 1.11 1.13 1.11 1.06 1.00 0.96 0.95 0.96 0.99 1.05 1.18 1.39 1.67 1.97 77.5 + 80.0 1.94 2.15 2.25 2.21 2.05 1.82 1.60 1.46 1.44 1.52 1.69 1.86 1.98 2.04 2.04 2.03 2.05 2.14 2.28 2.43 2.52 2.53 2.47 2.38 2.31 2.30 2.34 2.40 2.48 2.54 2.60 2.63 2.63 2.54 2.35 2.06 1.71 1.34 1.02 0.79 0.65 0.60 0.60 0.63 0.68 0.72 0.77 0.82 0.89 0.98 1.08 1.15 1.16 1.10 0.99 0.89 0.86 0.90 1.00 1.09 1.12 1.08 0.99 0.90 0.85 0.87 0.93 1.02 1.13 1.27 1.45 1.69 1.94 2.15 2.25 2.21 2.05 1.82 1.60 1.46 1.44 1.52 1.69 1.86 1.98 2.04 2.04 2.03 2.05 2.14 2.28 2.43 2.52 2.53 2.47 2.38 2.31 2.30 2.34 2.40 2.48 2.54 2.60 2.63 2.63 2.54 2.35 2.06 1.71 1.34 1.02 0.79 0.65 0.60 0.60 0.63 0.68 0.72 0.77 0.82 0.89 0.98 1.08 1.15 1.16 1.10 0.99 0.89 0.86 0.90 1.00 1.09 1.12 1.08 0.99 0.90 0.85 0.87 0.93 1.02 1.13 1.27 1.45 1.69 1.94 80.0 + 82.5 1.68 1.83 1.88 1.81 1.61 1.34 1.08 0.91 0.88 0.99 1.18 1.36 1.46 1.45 1.37 1.28 1.27 1.38 1.58 1.80 1.96 2.02 1.99 1.93 1.92 1.98 2.09 2.21 2.30 2.36 2.40 2.44 2.49 2.50 2.43 2.24 1.92 1.51 1.09 0.72 0.45 0.29 0.24 0.24 0.26 0.28 0.31 0.35 0.44 0.56 0.69 0.77 0.76 0.66 0.51 0.39 0.38 0.48 0.65 0.80 0.85 0.79 0.65 0.53 0.48 0.54 0.67 0.83 0.99 1.15 1.31 1.49 1.68 1.83 1.88 1.81 1.61 1.34 1.08 0.91 0.88 0.99 1.18 1.36 1.46 1.45 1.37 1.28 1.27 1.38 1.58 1.80 1.96 2.02 1.99 1.93 1.92 1.98 2.09 2.21 2.30 2.36 2.40 2.44 2.49 2.50 2.43 2.24 1.92 1.51 1.09 0.72 0.45 0.29 0.24 0.24 0.26 0.28 0.31 0.35 0.44 0.56 0.69 0.77 0.76 0.66 0.51 0.39 0.38 0.48 0.65 0.80 0.85 0.79 0.65 0.53 0.48 0.54 0.67 0.83 0.99 1.15 1.31 1.49 1.68 82.5 + 85.0 1.29 1.39 1.41 1.31 1.10 0.80 0.50 0.30 0.25 0.36 0.57 0.75 0.83 0.76 0.59 0.42 0.36 0.46 0.70 0.97 1.17 1.25 1.23 1.18 1.20 1.30 1.46 1.63 1.75 1.82 1.86 1.94 2.07 2.22 2.32 2.29 2.07 1.69 1.20 0.72 0.34 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.26 0.11 0.00 0.00 0.00 0.00 0.16 0.36 0.44 0.37 0.21 0.05 0.00 0.09 0.28 0.52 0.74 0.91 1.05 1.17 1.29 1.39 1.41 1.31 1.10 0.80 0.50 0.30 0.25 0.36 0.57 0.75 0.83 0.76 0.59 0.42 0.36 0.46 0.70 0.97 1.17 1.25 1.23 1.18 1.20 1.30 1.46 1.63 1.75 1.82 1.86 1.94 2.07 2.22 2.32 2.29 2.07 1.69 1.20 0.72 0.34 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.26 0.11 0.00 0.00 0.00 0.00 0.16 0.36 0.44 0.37 0.21 0.05 0.00 0.09 0.28 0.52 0.74 0.91 1.05 1.17 1.29 85.0 + 87.5 0.96 1.01 1.00 0.89 0.67 0.36 0.04 0.00 0.00 0.00 0.04 0.22 0.29 0.18 0.00 0.00 0.00 0.00 0.00 0.19 0.41 0.49 0.45 0.39 0.38 0.49 0.66 0.85 0.98 1.05 1.12 1.25 1.47 1.78 2.06 2.22 2.16 1.88 1.42 0.91 0.46 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.25 0.51 0.71 0.83 0.90 0.96 1.01 1.00 0.89 0.67 0.36 0.04 0.00 0.00 0.00 0.04 0.22 0.29 0.18 0.00 0.00 0.00 0.00 0.00 0.19 0.41 0.49 0.45 0.39 0.38 0.49 0.66 0.85 0.98 1.05 1.12 1.25 1.47 1.78 2.06 2.22 2.16 1.88 1.42 0.91 0.46 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.25 0.51 0.71 0.83 0.90 0.96 87.5 + 90.0 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 90.0 + + 17.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.99 ) PHI2 = 18. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.0 + 2.5 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.58 1.34 1.12 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.53 0.71 0.91 1.13 1.36 1.60 1.85 2.09 2.25 2.30 2.23 2.04 1.80 1.54 1.30 1.07 0.86 0.66 0.49 0.39 0.35 0.35 0.34 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.51 0.66 0.85 1.06 1.28 1.52 1.76 1.99 2.16 2.23 2.18 2.03 1.81 1.58 1.34 1.12 0.90 0.70 0.54 0.45 0.41 0.41 0.37 0.26 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.53 0.71 0.91 1.13 1.36 1.60 1.85 2.09 2.25 2.30 2.23 2.04 1.80 1.54 1.30 1.07 0.86 2.5 + 5.0 0.72 0.52 0.36 0.27 0.25 0.29 0.33 0.31 0.21 0.04 0.00 0.00 0.00 0.00 0.21 0.39 0.48 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.66 1.90 2.09 2.19 2.17 2.05 1.84 1.59 1.34 1.09 0.86 0.67 0.54 0.49 0.48 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.28 0.33 0.34 0.35 0.41 0.54 0.73 0.95 1.18 1.44 1.71 2.00 2.26 2.43 2.46 2.34 2.09 1.79 1.47 1.19 0.94 0.72 0.52 0.36 0.27 0.25 0.29 0.33 0.31 0.21 0.04 0.00 0.00 0.00 0.00 0.21 0.39 0.48 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.66 1.90 2.09 2.19 2.17 2.05 1.84 1.59 1.34 1.09 0.86 0.67 0.54 0.49 0.48 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.14 0.28 0.33 0.34 0.35 0.41 0.54 0.73 0.95 1.18 1.44 1.71 2.00 2.26 2.43 2.46 2.34 2.09 1.79 1.47 1.19 0.94 0.72 5.0 + 7.5 0.52 0.34 0.20 0.12 0.12 0.19 0.29 0.35 0.33 0.22 0.09 0.00 0.00 0.12 0.30 0.47 0.56 0.54 0.44 0.33 0.28 0.32 0.46 0.67 0.92 1.20 1.48 1.73 1.94 2.06 2.08 1.99 1.80 1.55 1.27 0.99 0.75 0.58 0.50 0.50 0.55 0.58 0.54 0.41 0.21 0.01 0.00 0.00 0.01 0.18 0.33 0.40 0.41 0.39 0.40 0.48 0.63 0.82 1.04 1.27 1.54 1.85 2.16 2.44 2.60 2.60 2.42 2.09 1.71 1.33 1.01 0.74 0.52 0.34 0.20 0.12 0.12 0.19 0.29 0.35 0.33 0.22 0.09 0.00 0.00 0.12 0.30 0.47 0.56 0.54 0.44 0.33 0.28 0.32 0.46 0.67 0.92 1.20 1.48 1.73 1.94 2.06 2.08 1.99 1.80 1.55 1.27 0.99 0.75 0.58 0.50 0.50 0.55 0.58 0.54 0.41 0.21 0.01 0.00 0.00 0.01 0.18 0.33 0.40 0.41 0.39 0.40 0.48 0.63 0.82 1.04 1.27 1.54 1.85 2.16 2.44 2.60 2.60 2.42 2.09 1.71 1.33 1.01 0.74 0.52 7.5 + 10.0 0.31 0.16 0.04 0.00 0.00 0.07 0.20 0.31 0.36 0.31 0.19 0.07 0.03 0.09 0.25 0.42 0.53 0.52 0.41 0.26 0.14 0.12 0.23 0.43 0.70 0.98 1.24 1.48 1.68 1.81 1.87 1.82 1.66 1.42 1.12 0.82 0.58 0.44 0.41 0.48 0.59 0.64 0.61 0.47 0.28 0.12 0.06 0.14 0.30 0.47 0.59 0.62 0.59 0.56 0.59 0.68 0.84 1.02 1.20 1.41 1.65 1.95 2.26 2.53 2.67 2.62 2.37 1.97 1.52 1.10 0.76 0.50 0.31 0.16 0.04 0.00 0.00 0.07 0.20 0.31 0.36 0.31 0.19 0.07 0.03 0.09 0.25 0.42 0.53 0.52 0.41 0.26 0.14 0.12 0.23 0.43 0.70 0.98 1.24 1.48 1.68 1.81 1.87 1.82 1.66 1.42 1.12 0.82 0.58 0.44 0.41 0.48 0.59 0.64 0.61 0.47 0.28 0.12 0.06 0.14 0.30 0.47 0.59 0.62 0.59 0.56 0.59 0.68 0.84 1.02 1.20 1.41 1.65 1.95 2.26 2.53 2.67 2.62 2.37 1.97 1.52 1.10 0.76 0.50 0.31 10.0 + 12.5 0.11 0.01 0.00 0.00 0.00 0.00 0.07 0.22 0.30 0.28 0.16 0.01 0.00 0.00 0.06 0.26 0.42 0.45 0.36 0.19 0.04 0.00 0.06 0.25 0.51 0.77 1.01 1.21 1.38 1.51 1.59 1.58 1.46 1.24 0.94 0.63 0.39 0.28 0.31 0.45 0.60 0.69 0.65 0.50 0.31 0.19 0.20 0.35 0.57 0.77 0.88 0.88 0.84 0.81 0.85 0.97 1.13 1.29 1.43 1.57 1.75 1.99 2.26 2.49 2.59 2.48 2.18 1.73 1.24 0.80 0.47 0.25 0.11 0.01 0.00 0.00 0.00 0.00 0.07 0.22 0.30 0.28 0.16 0.01 0.00 0.00 0.06 0.26 0.42 0.45 0.36 0.19 0.04 0.00 0.06 0.25 0.51 0.77 1.01 1.21 1.38 1.51 1.59 1.58 1.46 1.24 0.94 0.63 0.39 0.28 0.31 0.45 0.60 0.69 0.65 0.50 0.31 0.19 0.20 0.35 0.57 0.77 0.88 0.88 0.84 0.81 0.85 0.97 1.13 1.29 1.43 1.57 1.75 1.99 2.26 2.49 2.59 2.48 2.18 1.73 1.24 0.80 0.47 0.25 0.11 12.5 + 15.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.22 0.10 0.00 0.00 0.00 0.00 0.07 0.29 0.39 0.34 0.18 0.01 0.00 0.00 0.17 0.42 0.66 0.86 1.01 1.14 1.26 1.35 1.38 1.31 1.11 0.82 0.51 0.27 0.18 0.25 0.43 0.62 0.73 0.69 0.53 0.34 0.23 0.29 0.49 0.76 0.98 1.09 1.09 1.04 1.03 1.10 1.25 1.43 1.57 1.65 1.72 1.81 1.97 2.17 2.33 2.38 2.23 1.90 1.43 0.93 0.50 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.22 0.10 0.00 0.00 0.00 0.00 0.07 0.29 0.39 0.34 0.18 0.01 0.00 0.00 0.17 0.42 0.66 0.86 1.01 1.14 1.26 1.35 1.38 1.31 1.11 0.82 0.51 0.27 0.18 0.25 0.43 0.62 0.73 0.69 0.53 0.34 0.23 0.29 0.49 0.76 0.98 1.09 1.09 1.04 1.03 1.10 1.25 1.43 1.57 1.65 1.72 1.81 1.97 2.17 2.33 2.38 2.23 1.90 1.43 0.93 0.50 0.19 0.02 0.00 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.25 0.41 0.41 0.27 0.10 0.00 0.04 0.21 0.45 0.67 0.84 0.96 1.06 1.16 1.27 1.32 1.28 1.11 0.84 0.53 0.28 0.19 0.26 0.46 0.67 0.78 0.74 0.57 0.37 0.27 0.33 0.55 0.84 1.08 1.19 1.19 1.14 1.14 1.24 1.43 1.63 1.77 1.83 1.84 1.85 1.91 2.02 2.12 2.12 1.95 1.62 1.16 0.67 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.25 0.41 0.41 0.27 0.10 0.00 0.04 0.21 0.45 0.67 0.84 0.96 1.06 1.16 1.27 1.32 1.28 1.11 0.84 0.53 0.28 0.19 0.26 0.46 0.67 0.78 0.74 0.57 0.37 0.27 0.33 0.55 0.84 1.08 1.19 1.19 1.14 1.14 1.24 1.43 1.63 1.77 1.83 1.84 1.85 1.91 2.02 2.12 2.12 1.95 1.62 1.16 0.67 0.26 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.36 0.44 0.36 0.15 0.00 0.00 0.00 0.09 0.37 0.57 0.59 0.47 0.29 0.17 0.20 0.35 0.58 0.79 0.95 1.05 1.14 1.23 1.34 1.41 1.39 1.25 0.99 0.68 0.42 0.29 0.33 0.51 0.72 0.84 0.81 0.64 0.43 0.31 0.36 0.57 0.85 1.09 1.20 1.20 1.15 1.15 1.27 1.48 1.71 1.88 1.95 1.92 1.87 1.85 1.87 1.90 1.87 1.71 1.41 0.98 0.52 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.36 0.44 0.36 0.15 0.00 0.00 0.00 0.09 0.37 0.57 0.59 0.47 0.29 0.17 0.20 0.35 0.58 0.79 0.95 1.05 1.14 1.23 1.34 1.41 1.39 1.25 0.99 0.68 0.42 0.29 0.33 0.51 0.72 0.84 0.81 0.64 0.43 0.31 0.36 0.57 0.85 1.09 1.20 1.20 1.15 1.15 1.27 1.48 1.71 1.88 1.95 1.92 1.87 1.85 1.87 1.90 1.87 1.71 1.41 0.98 0.52 0.12 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.39 0.63 0.77 0.75 0.56 0.31 0.15 0.17 0.36 0.63 0.82 0.86 0.73 0.54 0.40 0.39 0.52 0.74 0.95 1.11 1.21 1.28 1.37 1.46 1.53 1.53 1.41 1.17 0.86 0.58 0.41 0.40 0.54 0.72 0.86 0.85 0.72 0.53 0.40 0.43 0.62 0.90 1.14 1.27 1.27 1.21 1.20 1.31 1.52 1.77 1.97 2.05 2.01 1.91 1.80 1.74 1.72 1.68 1.55 1.29 0.92 0.49 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.39 0.63 0.77 0.75 0.56 0.31 0.15 0.17 0.36 0.63 0.82 0.86 0.73 0.54 0.40 0.39 0.52 0.74 0.95 1.11 1.21 1.28 1.37 1.46 1.53 1.53 1.41 1.17 0.86 0.58 0.41 0.40 0.54 0.72 0.86 0.85 0.72 0.53 0.40 0.43 0.62 0.90 1.14 1.27 1.27 1.21 1.20 1.31 1.52 1.77 1.97 2.05 2.01 1.91 1.80 1.74 1.72 1.68 1.55 1.29 0.92 0.49 0.10 0.00 0.00 0.00 22.5 + 25.0 0.00 0.00 0.11 0.19 0.21 0.26 0.40 0.65 0.94 1.14 1.17 1.01 0.76 0.56 0.52 0.67 0.90 1.08 1.11 0.98 0.77 0.60 0.55 0.65 0.83 1.03 1.19 1.28 1.35 1.41 1.49 1.54 1.54 1.44 1.24 0.96 0.68 0.48 0.42 0.50 0.67 0.82 0.88 0.81 0.67 0.57 0.61 0.80 1.10 1.39 1.56 1.60 1.54 1.50 1.55 1.72 1.95 2.14 2.21 2.15 1.99 1.81 1.66 1.58 1.53 1.44 1.25 0.93 0.54 0.15 0.00 0.00 0.00 0.00 0.11 0.19 0.21 0.26 0.40 0.65 0.94 1.14 1.17 1.01 0.76 0.56 0.52 0.67 0.90 1.08 1.11 0.98 0.77 0.60 0.55 0.65 0.83 1.03 1.19 1.28 1.35 1.41 1.49 1.54 1.54 1.44 1.24 0.96 0.68 0.48 0.42 0.50 0.67 0.82 0.88 0.81 0.67 0.57 0.61 0.80 1.10 1.39 1.56 1.60 1.54 1.50 1.55 1.72 1.95 2.14 2.21 2.15 1.99 1.81 1.66 1.58 1.53 1.44 1.25 0.93 0.54 0.15 0.00 0.00 0.00 25.0 + 27.5 0.00 0.16 0.34 0.44 0.47 0.51 0.63 0.87 1.18 1.42 1.49 1.35 1.10 0.86 0.78 0.87 1.07 1.23 1.26 1.12 0.90 0.70 0.61 0.66 0.80 0.96 1.10 1.18 1.22 1.26 1.30 1.34 1.34 1.28 1.14 0.92 0.68 0.48 0.39 0.43 0.59 0.77 0.90 0.93 0.88 0.85 0.93 1.17 1.53 1.92 2.19 2.30 2.27 2.18 2.15 2.21 2.35 2.48 2.51 2.39 2.16 1.88 1.64 1.50 1.43 1.38 1.24 0.99 0.63 0.26 0.00 0.00 0.00 0.16 0.34 0.44 0.47 0.51 0.63 0.87 1.18 1.42 1.49 1.35 1.10 0.86 0.78 0.87 1.07 1.23 1.26 1.12 0.90 0.70 0.61 0.66 0.80 0.96 1.10 1.18 1.22 1.26 1.30 1.34 1.34 1.28 1.14 0.92 0.68 0.48 0.39 0.43 0.59 0.77 0.90 0.93 0.88 0.85 0.93 1.17 1.53 1.92 2.19 2.30 2.27 2.18 2.15 2.21 2.35 2.48 2.51 2.39 2.16 1.88 1.64 1.50 1.43 1.38 1.24 0.99 0.63 0.26 0.00 0.00 0.00 27.5 + 30.0 0.19 0.41 0.62 0.74 0.75 0.74 0.81 1.01 1.30 1.54 1.62 1.49 1.23 0.96 0.83 0.88 1.05 1.20 1.23 1.11 0.88 0.66 0.53 0.53 0.61 0.73 0.83 0.89 0.91 0.91 0.93 0.95 0.97 0.97 0.92 0.80 0.64 0.48 0.38 0.40 0.55 0.77 0.98 1.12 1.18 1.23 1.38 1.70 2.17 2.69 3.12 3.35 3.36 3.23 3.08 2.99 2.99 3.00 2.93 2.73 2.40 2.01 1.68 1.48 1.39 1.36 1.28 1.07 0.75 0.40 0.14 0.07 0.19 0.41 0.62 0.74 0.75 0.74 0.81 1.01 1.30 1.54 1.62 1.49 1.23 0.96 0.83 0.88 1.05 1.20 1.23 1.11 0.88 0.66 0.53 0.53 0.61 0.73 0.83 0.89 0.91 0.91 0.93 0.95 0.97 0.97 0.92 0.80 0.64 0.48 0.38 0.40 0.55 0.77 0.98 1.12 1.18 1.23 1.38 1.70 2.17 2.69 3.12 3.35 3.36 3.23 3.08 2.99 2.99 3.00 2.93 2.73 2.40 2.01 1.68 1.48 1.39 1.36 1.28 1.07 0.75 0.40 0.14 0.07 0.19 30.0 + 32.5 0.41 0.67 0.91 1.01 0.99 0.92 0.92 1.06 1.30 1.52 1.59 1.46 1.17 0.88 0.71 0.72 0.86 1.01 1.06 0.96 0.75 0.52 0.36 0.30 0.33 0.41 0.48 0.52 0.52 0.51 0.51 0.53 0.59 0.67 0.72 0.73 0.67 0.57 0.48 0.49 0.63 0.87 1.15 1.39 1.55 1.68 1.90 2.29 2.87 3.53 4.12 4.49 4.57 4.41 4.14 3.89 3.72 3.58 3.40 3.10 2.68 2.20 1.80 1.54 1.44 1.43 1.39 1.22 0.92 0.58 0.33 0.27 0.41 0.67 0.91 1.01 0.99 0.92 0.92 1.06 1.30 1.52 1.59 1.46 1.17 0.88 0.71 0.72 0.86 1.01 1.06 0.96 0.75 0.52 0.36 0.30 0.33 0.41 0.48 0.52 0.52 0.51 0.51 0.53 0.59 0.67 0.72 0.73 0.67 0.57 0.48 0.49 0.63 0.87 1.15 1.39 1.55 1.68 1.90 2.29 2.87 3.53 4.12 4.49 4.57 4.41 4.14 3.89 3.72 3.58 3.40 3.10 2.68 2.20 1.80 1.54 1.44 1.43 1.39 1.22 0.92 0.58 0.33 0.27 0.41 32.5 + 35.0 0.64 0.90 1.13 1.23 1.17 1.05 0.99 1.07 1.26 1.46 1.51 1.37 1.06 0.73 0.52 0.49 0.61 0.77 0.84 0.77 0.58 0.35 0.17 0.08 0.08 0.14 0.20 0.24 0.25 0.25 0.25 0.29 0.38 0.53 0.69 0.81 0.84 0.80 0.72 0.71 0.82 1.07 1.39 1.69 1.91 2.09 2.34 2.77 3.41 4.18 4.91 5.40 5.55 5.38 5.02 4.63 4.30 4.03 3.75 3.38 2.91 2.39 1.95 1.68 1.59 1.60 1.59 1.45 1.17 0.82 0.56 0.49 0.64 0.90 1.13 1.23 1.17 1.05 0.99 1.07 1.26 1.46 1.51 1.37 1.06 0.73 0.52 0.49 0.61 0.77 0.84 0.77 0.58 0.35 0.17 0.08 0.08 0.14 0.20 0.24 0.25 0.25 0.25 0.29 0.38 0.53 0.69 0.81 0.84 0.80 0.72 0.71 0.82 1.07 1.39 1.69 1.91 2.09 2.34 2.77 3.41 4.18 4.91 5.40 5.55 5.38 5.02 4.63 4.30 4.03 3.75 3.38 2.91 2.39 1.95 1.68 1.59 1.60 1.59 1.45 1.17 0.82 0.56 0.49 0.64 35.0 + 37.5 0.84 1.07 1.29 1.37 1.30 1.15 1.06 1.11 1.29 1.48 1.53 1.37 1.04 0.66 0.40 0.34 0.44 0.60 0.69 0.64 0.47 0.25 0.06 0.00 0.00 0.04 0.12 0.19 0.23 0.25 0.26 0.32 0.44 0.63 0.85 1.04 1.13 1.10 1.02 0.98 1.06 1.29 1.60 1.91 2.15 2.33 2.55 2.96 3.60 4.41 5.20 5.78 5.99 5.83 5.42 4.95 4.52 4.18 3.86 3.48 3.01 2.51 2.09 1.84 1.79 1.85 1.88 1.77 1.49 1.13 0.84 0.73 0.84 1.07 1.29 1.37 1.30 1.15 1.06 1.11 1.29 1.48 1.53 1.37 1.04 0.66 0.40 0.34 0.44 0.60 0.69 0.64 0.47 0.25 0.06 0.00 0.00 0.04 0.12 0.19 0.23 0.25 0.26 0.32 0.44 0.63 0.85 1.04 1.13 1.10 1.02 0.98 1.06 1.29 1.60 1.91 2.15 2.33 2.55 2.96 3.60 4.41 5.20 5.78 5.99 5.83 5.42 4.95 4.52 4.18 3.86 3.48 3.01 2.51 2.09 1.84 1.79 1.85 1.88 1.77 1.49 1.13 0.84 0.73 0.84 37.5 + 40.0 1.03 1.22 1.41 1.48 1.41 1.28 1.20 1.27 1.46 1.67 1.73 1.56 1.20 0.78 0.47 0.35 0.43 0.58 0.68 0.66 0.50 0.29 0.11 0.04 0.06 0.17 0.29 0.40 0.47 0.50 0.53 0.59 0.71 0.90 1.13 1.31 1.39 1.36 1.24 1.16 1.20 1.38 1.67 1.96 2.16 2.29 2.44 2.76 3.33 4.10 4.89 5.49 5.74 5.61 5.20 4.71 4.27 3.93 3.64 3.31 2.91 2.48 2.13 1.95 1.97 2.09 2.18 2.11 1.85 1.48 1.14 0.98 1.03 1.22 1.41 1.48 1.41 1.28 1.20 1.27 1.46 1.67 1.73 1.56 1.20 0.78 0.47 0.35 0.43 0.58 0.68 0.66 0.50 0.29 0.11 0.04 0.06 0.17 0.29 0.40 0.47 0.50 0.53 0.59 0.71 0.90 1.13 1.31 1.39 1.36 1.24 1.16 1.20 1.38 1.67 1.96 2.16 2.29 2.44 2.76 3.33 4.10 4.89 5.49 5.74 5.61 5.20 4.71 4.27 3.93 3.64 3.31 2.91 2.48 2.13 1.95 1.97 2.09 2.18 2.11 1.85 1.48 1.14 0.98 1.03 40.0 + 42.5 1.23 1.37 1.54 1.62 1.58 1.49 1.46 1.58 1.82 2.05 2.14 1.97 1.59 1.12 0.74 0.57 0.60 0.73 0.84 0.82 0.67 0.47 0.31 0.26 0.33 0.47 0.63 0.76 0.83 0.86 0.88 0.92 1.02 1.17 1.34 1.46 1.49 1.41 1.26 1.14 1.14 1.29 1.53 1.77 1.92 1.97 2.03 2.23 2.68 3.34 4.07 4.64 4.90 4.80 4.43 3.99 3.60 3.33 3.13 2.90 2.61 2.29 2.03 1.93 2.02 2.22 2.38 2.37 2.16 1.80 1.44 1.23 1.23 1.37 1.54 1.62 1.58 1.49 1.46 1.58 1.82 2.05 2.14 1.97 1.59 1.12 0.74 0.57 0.60 0.73 0.84 0.82 0.67 0.47 0.31 0.26 0.33 0.47 0.63 0.76 0.83 0.86 0.88 0.92 1.02 1.17 1.34 1.46 1.49 1.41 1.26 1.14 1.14 1.29 1.53 1.77 1.92 1.97 2.03 2.23 2.68 3.34 4.07 4.64 4.90 4.80 4.43 3.99 3.60 3.33 3.13 2.90 2.61 2.29 2.03 1.93 2.02 2.22 2.38 2.37 2.16 1.80 1.44 1.23 1.23 42.5 + 45.0 1.44 1.56 1.73 1.84 1.85 1.83 1.87 2.05 2.34 2.62 2.72 2.56 2.15 1.63 1.18 0.93 0.91 1.01 1.10 1.07 0.93 0.74 0.59 0.56 0.66 0.82 0.99 1.11 1.15 1.14 1.12 1.12 1.17 1.25 1.34 1.39 1.34 1.21 1.04 0.91 0.90 1.02 1.23 1.42 1.50 1.48 1.44 1.53 1.84 2.37 2.99 3.50 3.73 3.65 3.35 2.98 2.69 2.53 2.44 2.34 2.16 1.94 1.76 1.73 1.88 2.14 2.38 2.46 2.32 2.01 1.68 1.46 1.44 1.56 1.73 1.84 1.85 1.83 1.87 2.05 2.34 2.62 2.72 2.56 2.15 1.63 1.18 0.93 0.91 1.01 1.10 1.07 0.93 0.74 0.59 0.56 0.66 0.82 0.99 1.11 1.15 1.14 1.12 1.12 1.17 1.25 1.34 1.39 1.34 1.21 1.04 0.91 0.90 1.02 1.23 1.42 1.50 1.48 1.44 1.53 1.84 2.37 2.99 3.50 3.73 3.65 3.35 2.98 2.69 2.53 2.44 2.34 2.16 1.94 1.76 1.73 1.88 2.14 2.38 2.46 2.32 2.01 1.68 1.46 1.44 45.0 + 47.5 1.63 1.78 1.98 2.15 2.24 2.30 2.41 2.64 2.97 3.28 3.40 3.24 2.81 2.25 1.73 1.40 1.30 1.34 1.38 1.34 1.18 0.99 0.85 0.84 0.94 1.10 1.24 1.30 1.28 1.21 1.13 1.08 1.08 1.10 1.12 1.09 0.99 0.84 0.68 0.58 0.58 0.71 0.89 1.03 1.07 0.99 0.88 0.87 1.07 1.46 1.96 2.37 2.56 2.49 2.24 1.96 1.77 1.72 1.74 1.75 1.66 1.51 1.38 1.38 1.55 1.86 2.16 2.33 2.28 2.07 1.81 1.64 1.63 1.78 1.98 2.15 2.24 2.30 2.41 2.64 2.97 3.28 3.40 3.24 2.81 2.25 1.73 1.40 1.30 1.34 1.38 1.34 1.18 0.99 0.85 0.84 0.94 1.10 1.24 1.30 1.28 1.21 1.13 1.08 1.08 1.10 1.12 1.09 0.99 0.84 0.68 0.58 0.58 0.71 0.89 1.03 1.07 0.99 0.88 0.87 1.07 1.46 1.96 2.37 2.56 2.49 2.24 1.96 1.77 1.72 1.74 1.75 1.66 1.51 1.38 1.38 1.55 1.86 2.16 2.33 2.28 2.07 1.81 1.64 1.63 47.5 + 50.0 1.75 1.96 2.24 2.49 2.67 2.81 2.99 3.27 3.63 3.95 4.09 3.94 3.51 2.92 2.34 1.93 1.73 1.68 1.65 1.55 1.37 1.16 1.03 1.01 1.11 1.24 1.32 1.30 1.19 1.04 0.91 0.82 0.79 0.77 0.75 0.68 0.58 0.44 0.33 0.29 0.34 0.48 0.64 0.76 0.76 0.66 0.51 0.44 0.54 0.82 1.19 1.50 1.64 1.57 1.35 1.13 1.02 1.05 1.15 1.23 1.21 1.09 0.97 0.95 1.11 1.41 1.74 1.98 2.04 1.94 1.78 1.69 1.75 1.96 2.24 2.49 2.67 2.81 2.99 3.27 3.63 3.95 4.09 3.94 3.51 2.92 2.34 1.93 1.73 1.68 1.65 1.55 1.37 1.16 1.03 1.01 1.11 1.24 1.32 1.30 1.19 1.04 0.91 0.82 0.79 0.77 0.75 0.68 0.58 0.44 0.33 0.29 0.34 0.48 0.64 0.76 0.76 0.66 0.51 0.44 0.54 0.82 1.19 1.50 1.64 1.57 1.35 1.13 1.02 1.05 1.15 1.23 1.21 1.09 0.97 0.95 1.11 1.41 1.74 1.98 2.04 1.94 1.78 1.69 1.75 50.0 + 52.5 1.74 2.03 2.39 2.74 3.02 3.26 3.50 3.82 4.19 4.52 4.68 4.57 4.16 3.57 2.96 2.47 2.17 2.00 1.88 1.71 1.48 1.26 1.11 1.08 1.15 1.24 1.26 1.17 0.98 0.77 0.60 0.49 0.45 0.43 0.40 0.34 0.26 0.18 0.14 0.16 0.25 0.41 0.57 0.67 0.66 0.55 0.39 0.28 0.31 0.50 0.76 0.98 1.07 0.98 0.78 0.59 0.52 0.58 0.73 0.84 0.84 0.73 0.59 0.53 0.64 0.90 1.22 1.50 1.63 1.63 1.58 1.59 1.74 2.03 2.39 2.74 3.02 3.26 3.50 3.82 4.19 4.52 4.68 4.57 4.16 3.57 2.96 2.47 2.17 2.00 1.88 1.71 1.48 1.26 1.11 1.08 1.15 1.24 1.26 1.17 0.98 0.77 0.60 0.49 0.45 0.43 0.40 0.34 0.26 0.18 0.14 0.16 0.25 0.41 0.57 0.67 0.66 0.55 0.39 0.28 0.31 0.50 0.76 0.98 1.07 0.98 0.78 0.59 0.52 0.58 0.73 0.84 0.84 0.73 0.59 0.53 0.64 0.90 1.22 1.50 1.63 1.63 1.58 1.59 1.74 52.5 + 55.0 1.54 1.91 2.36 2.81 3.19 3.51 3.81 4.15 4.53 4.87 5.07 5.01 4.67 4.13 3.53 3.00 2.60 2.33 2.09 1.84 1.56 1.31 1.13 1.08 1.12 1.17 1.15 1.01 0.80 0.56 0.37 0.27 0.23 0.22 0.22 0.19 0.15 0.13 0.14 0.20 0.31 0.46 0.60 0.69 0.69 0.59 0.44 0.32 0.30 0.40 0.58 0.74 0.78 0.69 0.49 0.31 0.24 0.30 0.44 0.56 0.57 0.46 0.29 0.17 0.21 0.41 0.69 0.96 1.14 1.20 1.23 1.32 1.54 1.91 2.36 2.81 3.19 3.51 3.81 4.15 4.53 4.87 5.07 5.01 4.67 4.13 3.53 3.00 2.60 2.33 2.09 1.84 1.56 1.31 1.13 1.08 1.12 1.17 1.15 1.01 0.80 0.56 0.37 0.27 0.23 0.22 0.22 0.19 0.15 0.13 0.14 0.20 0.31 0.46 0.60 0.69 0.69 0.59 0.44 0.32 0.30 0.40 0.58 0.74 0.78 0.69 0.49 0.31 0.24 0.30 0.44 0.56 0.57 0.46 0.29 0.17 0.21 0.41 0.69 0.96 1.14 1.20 1.23 1.32 1.54 55.0 + 57.5 1.20 1.62 2.13 2.64 3.10 3.49 3.84 4.19 4.57 4.92 5.15 5.17 4.94 4.50 3.96 3.44 2.99 2.63 2.31 1.99 1.66 1.37 1.17 1.09 1.09 1.11 1.07 0.94 0.73 0.51 0.35 0.25 0.23 0.23 0.24 0.24 0.23 0.24 0.26 0.32 0.41 0.53 0.64 0.72 0.72 0.65 0.51 0.38 0.32 0.36 0.49 0.62 0.65 0.56 0.38 0.19 0.09 0.12 0.24 0.34 0.35 0.24 0.05 0.00 0.00 0.00 0.22 0.46 0.63 0.72 0.79 0.93 1.20 1.62 2.13 2.64 3.10 3.49 3.84 4.19 4.57 4.92 5.15 5.17 4.94 4.50 3.96 3.44 2.99 2.63 2.31 1.99 1.66 1.37 1.17 1.09 1.09 1.11 1.07 0.94 0.73 0.51 0.35 0.25 0.23 0.23 0.24 0.24 0.23 0.24 0.26 0.32 0.41 0.53 0.64 0.72 0.72 0.65 0.51 0.38 0.32 0.36 0.49 0.62 0.65 0.56 0.38 0.19 0.09 0.12 0.24 0.34 0.35 0.24 0.05 0.00 0.00 0.00 0.22 0.46 0.63 0.72 0.79 0.93 1.20 57.5 + 60.0 0.81 1.24 1.76 2.31 2.80 3.22 3.58 3.93 4.29 4.63 4.89 5.00 4.90 4.61 4.19 3.73 3.30 2.90 2.53 2.16 1.80 1.48 1.25 1.14 1.11 1.10 1.06 0.96 0.81 0.64 0.52 0.45 0.43 0.43 0.43 0.43 0.42 0.41 0.41 0.43 0.46 0.51 0.58 0.64 0.65 0.60 0.48 0.34 0.25 0.26 0.36 0.48 0.55 0.49 0.33 0.14 0.01 0.00 0.06 0.14 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.36 0.52 0.81 1.24 1.76 2.31 2.80 3.22 3.58 3.93 4.29 4.63 4.89 5.00 4.90 4.61 4.19 3.73 3.30 2.90 2.53 2.16 1.80 1.48 1.25 1.14 1.11 1.10 1.06 0.96 0.81 0.64 0.52 0.45 0.43 0.43 0.43 0.43 0.42 0.41 0.41 0.43 0.46 0.51 0.58 0.64 0.65 0.60 0.48 0.34 0.25 0.26 0.36 0.48 0.55 0.49 0.33 0.14 0.01 0.00 0.06 0.14 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.36 0.52 0.81 60.0 + 62.5 0.49 0.90 1.40 1.92 2.39 2.79 3.13 3.44 3.75 4.06 4.34 4.52 4.55 4.42 4.16 3.83 3.46 3.08 2.71 2.33 1.97 1.64 1.39 1.23 1.16 1.13 1.10 1.05 0.97 0.88 0.81 0.77 0.75 0.72 0.69 0.64 0.60 0.55 0.50 0.44 0.40 0.38 0.40 0.44 0.46 0.42 0.31 0.17 0.07 0.06 0.15 0.30 0.41 0.41 0.29 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.20 0.49 0.90 1.40 1.92 2.39 2.79 3.13 3.44 3.75 4.06 4.34 4.52 4.55 4.42 4.16 3.83 3.46 3.08 2.71 2.33 1.97 1.64 1.39 1.23 1.16 1.13 1.10 1.05 0.97 0.88 0.81 0.77 0.75 0.72 0.69 0.64 0.60 0.55 0.50 0.44 0.40 0.38 0.40 0.44 0.46 0.42 0.31 0.17 0.07 0.06 0.15 0.30 0.41 0.41 0.29 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.20 0.49 62.5 + 65.0 0.36 0.75 1.19 1.64 2.03 2.36 2.62 2.85 3.09 3.35 3.61 3.84 3.98 4.01 3.92 3.73 3.47 3.17 2.84 2.50 2.15 1.83 1.56 1.36 1.24 1.18 1.16 1.15 1.14 1.13 1.13 1.11 1.07 1.01 0.91 0.81 0.71 0.61 0.51 0.40 0.30 0.22 0.20 0.22 0.24 0.21 0.11 0.00 0.00 0.00 0.00 0.13 0.29 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.36 0.75 1.19 1.64 2.03 2.36 2.62 2.85 3.09 3.35 3.61 3.84 3.98 4.01 3.92 3.73 3.47 3.17 2.84 2.50 2.15 1.83 1.56 1.36 1.24 1.18 1.16 1.15 1.14 1.13 1.13 1.11 1.07 1.01 0.91 0.81 0.71 0.61 0.51 0.40 0.30 0.22 0.20 0.22 0.24 0.21 0.11 0.00 0.00 0.00 0.00 0.13 0.29 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.36 65.0 + 67.5 0.48 0.83 1.21 1.55 1.83 2.04 2.19 2.33 2.47 2.66 2.88 3.12 3.34 3.48 3.54 3.49 3.36 3.16 2.92 2.64 2.34 2.03 1.76 1.53 1.36 1.27 1.23 1.24 1.29 1.35 1.39 1.40 1.35 1.23 1.07 0.90 0.74 0.60 0.48 0.35 0.24 0.15 0.11 0.11 0.12 0.09 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.48 0.83 1.21 1.55 1.83 2.04 2.19 2.33 2.47 2.66 2.88 3.12 3.34 3.48 3.54 3.49 3.36 3.16 2.92 2.64 2.34 2.03 1.76 1.53 1.36 1.27 1.23 1.24 1.29 1.35 1.39 1.40 1.35 1.23 1.07 0.90 0.74 0.60 0.48 0.35 0.24 0.15 0.11 0.11 0.12 0.09 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.30 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.48 67.5 + 70.0 0.81 1.14 1.43 1.66 1.81 1.89 1.92 1.95 2.01 2.12 2.30 2.53 2.77 2.99 3.14 3.20 3.18 3.09 2.94 2.74 2.50 2.24 1.97 1.73 1.53 1.41 1.36 1.38 1.45 1.55 1.62 1.64 1.57 1.41 1.18 0.95 0.74 0.58 0.45 0.35 0.27 0.20 0.17 0.17 0.18 0.16 0.09 0.00 0.00 0.00 0.02 0.21 0.39 0.49 0.45 0.30 0.12 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.12 0.28 0.52 0.81 1.14 1.43 1.66 1.81 1.89 1.92 1.95 2.01 2.12 2.30 2.53 2.77 2.99 3.14 3.20 3.18 3.09 2.94 2.74 2.50 2.24 1.97 1.73 1.53 1.41 1.36 1.38 1.45 1.55 1.62 1.64 1.57 1.41 1.18 0.95 0.74 0.58 0.45 0.35 0.27 0.20 0.17 0.17 0.18 0.16 0.09 0.00 0.00 0.00 0.02 0.21 0.39 0.49 0.45 0.30 0.12 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.12 0.28 0.52 0.81 70.0 + 72.5 1.24 1.53 1.76 1.88 1.91 1.86 1.79 1.73 1.72 1.79 1.93 2.13 2.37 2.59 2.78 2.90 2.96 2.96 2.91 2.80 2.64 2.43 2.19 1.96 1.76 1.63 1.58 1.60 1.68 1.79 1.86 1.87 1.78 1.57 1.30 1.00 0.75 0.57 0.46 0.40 0.36 0.34 0.34 0.35 0.37 0.37 0.32 0.25 0.20 0.22 0.33 0.49 0.65 0.71 0.66 0.52 0.35 0.24 0.21 0.25 0.30 0.33 0.33 0.31 0.29 0.28 0.29 0.31 0.37 0.48 0.67 0.93 1.24 1.53 1.76 1.88 1.91 1.86 1.79 1.73 1.72 1.79 1.93 2.13 2.37 2.59 2.78 2.90 2.96 2.96 2.91 2.80 2.64 2.43 2.19 1.96 1.76 1.63 1.58 1.60 1.68 1.79 1.86 1.87 1.78 1.57 1.30 1.00 0.75 0.57 0.46 0.40 0.36 0.34 0.34 0.35 0.37 0.37 0.32 0.25 0.20 0.22 0.33 0.49 0.65 0.71 0.66 0.52 0.35 0.24 0.21 0.25 0.30 0.33 0.33 0.31 0.29 0.28 0.29 0.31 0.37 0.48 0.67 0.93 1.24 72.5 + 75.0 1.60 1.87 2.03 2.07 2.00 1.85 1.70 1.58 1.54 1.59 1.71 1.90 2.10 2.29 2.46 2.58 2.67 2.74 2.78 2.77 2.69 2.55 2.37 2.17 2.00 1.90 1.87 1.90 1.98 2.07 2.13 2.11 1.99 1.76 1.46 1.13 0.83 0.62 0.50 0.44 0.43 0.44 0.47 0.51 0.54 0.56 0.55 0.52 0.52 0.56 0.67 0.81 0.91 0.93 0.85 0.70 0.56 0.49 0.50 0.56 0.62 0.65 0.64 0.61 0.59 0.59 0.61 0.64 0.71 0.83 1.03 1.30 1.60 1.87 2.03 2.07 2.00 1.85 1.70 1.58 1.54 1.59 1.71 1.90 2.10 2.29 2.46 2.58 2.67 2.74 2.78 2.77 2.69 2.55 2.37 2.17 2.00 1.90 1.87 1.90 1.98 2.07 2.13 2.11 1.99 1.76 1.46 1.13 0.83 0.62 0.50 0.44 0.43 0.44 0.47 0.51 0.54 0.56 0.55 0.52 0.52 0.56 0.67 0.81 0.91 0.93 0.85 0.70 0.56 0.49 0.50 0.56 0.62 0.65 0.64 0.61 0.59 0.59 0.61 0.64 0.71 0.83 1.03 1.30 1.60 75.0 + 77.5 1.78 2.01 2.13 2.11 1.96 1.75 1.54 1.39 1.35 1.40 1.54 1.71 1.87 2.00 2.09 2.17 2.26 2.37 2.49 2.57 2.59 2.52 2.40 2.25 2.15 2.10 2.13 2.19 2.27 2.33 2.36 2.32 2.19 1.97 1.67 1.33 1.00 0.73 0.54 0.44 0.40 0.40 0.44 0.50 0.55 0.59 0.61 0.62 0.66 0.74 0.86 0.98 1.04 1.00 0.88 0.73 0.62 0.61 0.67 0.77 0.84 0.85 0.81 0.76 0.73 0.75 0.79 0.86 0.94 1.07 1.26 1.51 1.78 2.01 2.13 2.11 1.96 1.75 1.54 1.39 1.35 1.40 1.54 1.71 1.87 2.00 2.09 2.17 2.26 2.37 2.49 2.57 2.59 2.52 2.40 2.25 2.15 2.10 2.13 2.19 2.27 2.33 2.36 2.32 2.19 1.97 1.67 1.33 1.00 0.73 0.54 0.44 0.40 0.40 0.44 0.50 0.55 0.59 0.61 0.62 0.66 0.74 0.86 0.98 1.04 1.00 0.88 0.73 0.62 0.61 0.67 0.77 0.84 0.85 0.81 0.76 0.73 0.75 0.79 0.86 0.94 1.07 1.26 1.51 1.78 77.5 + 80.0 1.73 1.91 1.99 1.94 1.76 1.50 1.25 1.08 1.04 1.12 1.29 1.46 1.58 1.63 1.62 1.62 1.67 1.80 1.99 2.16 2.26 2.26 2.19 2.10 2.06 2.10 2.20 2.31 2.40 2.44 2.44 2.38 2.28 2.12 1.88 1.59 1.25 0.91 0.62 0.40 0.26 0.21 0.23 0.28 0.34 0.39 0.42 0.46 0.53 0.65 0.79 0.90 0.93 0.84 0.68 0.52 0.45 0.50 0.64 0.79 0.87 0.86 0.77 0.68 0.65 0.68 0.78 0.89 1.01 1.14 1.31 1.51 1.73 1.91 1.99 1.94 1.76 1.50 1.25 1.08 1.04 1.12 1.29 1.46 1.58 1.63 1.62 1.62 1.67 1.80 1.99 2.16 2.26 2.26 2.19 2.10 2.06 2.10 2.20 2.31 2.40 2.44 2.44 2.38 2.28 2.12 1.88 1.59 1.25 0.91 0.62 0.40 0.26 0.21 0.23 0.28 0.34 0.39 0.42 0.46 0.53 0.65 0.79 0.90 0.93 0.84 0.68 0.52 0.45 0.50 0.64 0.79 0.87 0.86 0.77 0.68 0.65 0.68 0.78 0.89 1.01 1.14 1.31 1.51 1.73 80.0 + 82.5 1.48 1.62 1.67 1.60 1.40 1.12 0.84 0.65 0.61 0.72 0.91 1.10 1.19 1.15 1.04 0.93 0.93 1.06 1.29 1.54 1.71 1.76 1.72 1.67 1.69 1.79 1.96 2.13 2.24 2.27 2.25 2.21 2.18 2.13 2.03 1.84 1.54 1.16 0.75 0.39 0.12 0.00 0.00 0.00 0.03 0.07 0.08 0.11 0.19 0.32 0.48 0.60 0.60 0.48 0.28 0.12 0.07 0.18 0.39 0.59 0.70 0.66 0.54 0.41 0.36 0.42 0.57 0.75 0.92 1.05 1.18 1.32 1.48 1.62 1.67 1.60 1.40 1.12 0.84 0.65 0.61 0.72 0.91 1.10 1.19 1.15 1.04 0.93 0.93 1.06 1.29 1.54 1.71 1.76 1.72 1.67 1.69 1.79 1.96 2.13 2.24 2.27 2.25 2.21 2.18 2.13 2.03 1.84 1.54 1.16 0.75 0.39 0.12 0.00 0.00 0.00 0.03 0.07 0.08 0.11 0.19 0.32 0.48 0.60 0.60 0.48 0.28 0.12 0.07 0.18 0.39 0.59 0.70 0.66 0.54 0.41 0.36 0.42 0.57 0.75 0.92 1.05 1.18 1.32 1.48 82.5 + 85.0 1.15 1.24 1.28 1.20 1.00 0.71 0.40 0.19 0.14 0.26 0.47 0.67 0.73 0.63 0.42 0.22 0.15 0.27 0.53 0.82 1.02 1.09 1.06 1.02 1.06 1.21 1.42 1.62 1.74 1.77 1.76 1.77 1.84 1.96 2.05 2.02 1.82 1.45 0.97 0.49 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.21 0.06 0.00 0.00 0.00 0.00 0.03 0.29 0.42 0.37 0.21 0.04 0.00 0.07 0.27 0.52 0.73 0.87 0.97 1.06 1.15 1.24 1.28 1.20 1.00 0.71 0.40 0.19 0.14 0.26 0.47 0.67 0.73 0.63 0.42 0.22 0.15 0.27 0.53 0.82 1.02 1.09 1.06 1.02 1.06 1.21 1.42 1.62 1.74 1.77 1.76 1.77 1.84 1.96 2.05 2.02 1.82 1.45 0.97 0.49 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.21 0.06 0.00 0.00 0.00 0.00 0.03 0.29 0.42 0.37 0.21 0.04 0.00 0.07 0.27 0.52 0.73 0.87 0.97 1.06 1.15 85.0 + 87.5 0.88 0.93 0.94 0.87 0.68 0.38 0.06 0.00 0.00 0.00 0.09 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.18 0.40 0.46 0.41 0.35 0.36 0.50 0.72 0.92 1.04 1.07 1.08 1.14 1.33 1.61 1.90 2.07 2.02 1.74 1.28 0.76 0.32 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.14 0.00 0.00 0.00 0.00 0.01 0.31 0.56 0.72 0.80 0.84 0.88 0.93 0.94 0.87 0.68 0.38 0.06 0.00 0.00 0.00 0.09 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.18 0.40 0.46 0.41 0.35 0.36 0.50 0.72 0.92 1.04 1.07 1.08 1.14 1.33 1.61 1.90 2.07 2.02 1.74 1.28 0.76 0.32 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.14 0.00 0.00 0.00 0.00 0.01 0.31 0.56 0.72 0.80 0.84 0.88 87.5 + 90.0 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 90.0 + + 20.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.82 ) PHI2 = 20. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.0 + 2.5 0.65 0.49 0.39 0.35 0.36 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.50 0.65 0.85 1.06 1.28 1.51 1.76 1.99 2.16 2.23 2.19 2.04 1.82 1.58 1.35 1.12 0.90 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.36 1.61 1.86 2.09 2.25 2.30 2.22 2.04 1.79 1.54 1.29 1.07 0.85 0.65 0.49 0.39 0.35 0.36 0.34 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.39 0.41 0.40 0.42 0.50 0.65 0.85 1.06 1.28 1.51 1.76 1.99 2.16 2.23 2.19 2.04 1.82 1.58 1.35 1.12 0.90 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.36 1.61 1.86 2.09 2.25 2.30 2.22 2.04 1.79 1.54 1.29 1.07 0.85 0.65 2.5 + 5.0 0.51 0.36 0.27 0.26 0.30 0.34 0.33 0.22 0.05 0.00 0.00 0.00 0.02 0.23 0.40 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.65 1.90 2.10 2.20 2.19 2.07 1.86 1.62 1.36 1.11 0.88 0.69 0.56 0.50 0.49 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.34 0.35 0.36 0.43 0.56 0.75 0.96 1.20 1.45 1.73 2.01 2.27 2.43 2.45 2.33 2.08 1.77 1.46 1.18 0.93 0.71 0.51 0.36 0.27 0.26 0.30 0.34 0.33 0.22 0.05 0.00 0.00 0.00 0.02 0.23 0.40 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.39 1.65 1.90 2.10 2.20 2.19 2.07 1.86 1.62 1.36 1.11 0.88 0.69 0.56 0.50 0.49 0.49 0.45 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.34 0.35 0.36 0.43 0.56 0.75 0.96 1.20 1.45 1.73 2.01 2.27 2.43 2.45 2.33 2.08 1.77 1.46 1.18 0.93 0.71 0.51 5.0 + 7.5 0.34 0.20 0.13 0.15 0.22 0.32 0.38 0.36 0.26 0.13 0.04 0.05 0.17 0.34 0.50 0.58 0.55 0.45 0.35 0.29 0.33 0.47 0.67 0.93 1.20 1.48 1.75 1.96 2.09 2.12 2.04 1.85 1.60 1.32 1.04 0.81 0.63 0.55 0.54 0.58 0.61 0.57 0.44 0.24 0.05 0.00 0.00 0.04 0.21 0.36 0.44 0.45 0.44 0.46 0.53 0.68 0.87 1.08 1.32 1.59 1.89 2.20 2.46 2.61 2.60 2.40 2.08 1.69 1.32 0.99 0.73 0.52 0.34 0.20 0.13 0.15 0.22 0.32 0.38 0.36 0.26 0.13 0.04 0.05 0.17 0.34 0.50 0.58 0.55 0.45 0.35 0.29 0.33 0.47 0.67 0.93 1.20 1.48 1.75 1.96 2.09 2.12 2.04 1.85 1.60 1.32 1.04 0.81 0.63 0.55 0.54 0.58 0.61 0.57 0.44 0.24 0.05 0.00 0.00 0.04 0.21 0.36 0.44 0.45 0.44 0.46 0.53 0.68 0.87 1.08 1.32 1.59 1.89 2.20 2.46 2.61 2.60 2.40 2.08 1.69 1.32 0.99 0.73 0.52 0.34 7.5 + 10.0 0.18 0.07 0.02 0.04 0.13 0.27 0.38 0.43 0.38 0.26 0.16 0.12 0.19 0.34 0.50 0.60 0.58 0.46 0.30 0.19 0.17 0.27 0.47 0.73 1.00 1.27 1.52 1.73 1.88 1.94 1.90 1.75 1.51 1.21 0.92 0.68 0.54 0.51 0.57 0.67 0.72 0.69 0.55 0.37 0.22 0.16 0.23 0.39 0.56 0.68 0.71 0.69 0.67 0.69 0.78 0.93 1.11 1.30 1.50 1.74 2.03 2.33 2.58 2.70 2.63 2.37 1.97 1.52 1.10 0.76 0.51 0.32 0.18 0.07 0.02 0.04 0.13 0.27 0.38 0.43 0.38 0.26 0.16 0.12 0.19 0.34 0.50 0.60 0.58 0.46 0.30 0.19 0.17 0.27 0.47 0.73 1.00 1.27 1.52 1.73 1.88 1.94 1.90 1.75 1.51 1.21 0.92 0.68 0.54 0.51 0.57 0.67 0.72 0.69 0.55 0.37 0.22 0.16 0.23 0.39 0.56 0.68 0.71 0.69 0.67 0.69 0.78 0.93 1.11 1.30 1.50 1.74 2.03 2.33 2.58 2.70 2.63 2.37 1.97 1.52 1.10 0.76 0.51 0.32 0.18 10.0 + 12.5 0.06 0.00 0.00 0.00 0.05 0.18 0.32 0.41 0.39 0.28 0.14 0.05 0.07 0.20 0.38 0.52 0.55 0.45 0.28 0.13 0.07 0.15 0.33 0.58 0.83 1.07 1.27 1.46 1.61 1.70 1.70 1.59 1.37 1.07 0.77 0.53 0.42 0.45 0.58 0.74 0.82 0.79 0.66 0.48 0.37 0.37 0.51 0.73 0.92 1.03 1.04 1.00 0.98 1.02 1.13 1.28 1.43 1.57 1.71 1.89 2.12 2.37 2.57 2.63 2.51 2.19 1.74 1.25 0.82 0.50 0.28 0.15 0.06 0.00 0.00 0.00 0.05 0.18 0.32 0.41 0.39 0.28 0.14 0.05 0.07 0.20 0.38 0.52 0.55 0.45 0.28 0.13 0.07 0.15 0.33 0.58 0.83 1.07 1.27 1.46 1.61 1.70 1.70 1.59 1.37 1.07 0.77 0.53 0.42 0.45 0.58 0.74 0.82 0.79 0.66 0.48 0.37 0.37 0.51 0.73 0.92 1.03 1.04 1.00 0.98 1.02 1.13 1.28 1.43 1.57 1.71 1.89 2.12 2.37 2.57 2.63 2.51 2.19 1.74 1.25 0.82 0.50 0.28 0.15 0.06 12.5 + 15.0 0.00 0.00 0.00 0.00 0.00 0.10 0.25 0.35 0.35 0.24 0.07 0.00 0.00 0.01 0.22 0.42 0.51 0.46 0.30 0.14 0.06 0.11 0.28 0.51 0.73 0.93 1.09 1.24 1.37 1.48 1.52 1.45 1.26 0.97 0.67 0.44 0.35 0.42 0.59 0.79 0.90 0.87 0.73 0.56 0.47 0.52 0.72 0.97 1.19 1.30 1.31 1.26 1.24 1.31 1.45 1.61 1.74 1.83 1.89 1.99 2.13 2.30 2.42 2.43 2.25 1.90 1.43 0.95 0.53 0.24 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.10 0.25 0.35 0.35 0.24 0.07 0.00 0.00 0.01 0.22 0.42 0.51 0.46 0.30 0.14 0.06 0.11 0.28 0.51 0.73 0.93 1.09 1.24 1.37 1.48 1.52 1.45 1.26 0.97 0.67 0.44 0.35 0.42 0.59 0.79 0.90 0.87 0.73 0.56 0.47 0.52 0.72 0.97 1.19 1.30 1.31 1.26 1.24 1.31 1.45 1.61 1.74 1.83 1.89 1.99 2.13 2.30 2.42 2.43 2.25 1.90 1.43 0.95 0.53 0.24 0.08 0.01 0.00 15.0 + 17.5 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.34 0.37 0.27 0.08 0.00 0.00 0.00 0.12 0.36 0.51 0.51 0.38 0.22 0.13 0.16 0.31 0.53 0.73 0.90 1.02 1.14 1.27 1.39 1.46 1.42 1.26 0.99 0.68 0.45 0.35 0.42 0.61 0.82 0.94 0.92 0.78 0.61 0.52 0.58 0.80 1.07 1.31 1.42 1.42 1.37 1.36 1.45 1.62 1.80 1.94 2.01 2.02 2.03 2.07 2.14 2.19 2.13 1.94 1.59 1.14 0.67 0.28 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.34 0.37 0.27 0.08 0.00 0.00 0.00 0.12 0.36 0.51 0.51 0.38 0.22 0.13 0.16 0.31 0.53 0.73 0.90 1.02 1.14 1.27 1.39 1.46 1.42 1.26 0.99 0.68 0.45 0.35 0.42 0.61 0.82 0.94 0.92 0.78 0.61 0.52 0.58 0.80 1.07 1.31 1.42 1.42 1.37 1.36 1.45 1.62 1.80 1.94 2.01 2.02 2.03 2.07 2.14 2.19 2.13 1.94 1.59 1.14 0.67 0.28 0.02 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.44 0.52 0.45 0.26 0.04 0.00 0.00 0.16 0.41 0.60 0.64 0.53 0.37 0.26 0.27 0.41 0.62 0.82 0.97 1.08 1.19 1.30 1.43 1.51 1.50 1.36 1.10 0.80 0.54 0.41 0.45 0.61 0.81 0.94 0.94 0.80 0.64 0.54 0.60 0.80 1.07 1.30 1.41 1.41 1.36 1.36 1.45 1.65 1.86 2.03 2.10 2.08 2.02 1.97 1.94 1.92 1.83 1.63 1.31 0.90 0.48 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.44 0.52 0.45 0.26 0.04 0.00 0.00 0.16 0.41 0.60 0.64 0.53 0.37 0.26 0.27 0.41 0.62 0.82 0.97 1.08 1.19 1.30 1.43 1.51 1.50 1.36 1.10 0.80 0.54 0.41 0.45 0.61 0.81 0.94 0.94 0.80 0.64 0.54 0.60 0.80 1.07 1.30 1.41 1.41 1.36 1.36 1.45 1.65 1.86 2.03 2.10 2.08 2.02 1.97 1.94 1.92 1.83 1.63 1.31 0.90 0.48 0.11 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.01 0.06 0.19 0.40 0.63 0.78 0.76 0.59 0.35 0.18 0.17 0.34 0.58 0.77 0.82 0.72 0.55 0.42 0.42 0.53 0.73 0.93 1.08 1.20 1.30 1.40 1.52 1.60 1.59 1.47 1.24 0.94 0.66 0.49 0.47 0.59 0.76 0.90 0.92 0.83 0.68 0.59 0.64 0.83 1.09 1.33 1.46 1.46 1.41 1.39 1.47 1.66 1.89 2.08 2.15 2.12 2.00 1.87 1.76 1.66 1.55 1.38 1.12 0.77 0.38 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.06 0.19 0.40 0.63 0.78 0.76 0.59 0.35 0.18 0.17 0.34 0.58 0.77 0.82 0.72 0.55 0.42 0.42 0.53 0.73 0.93 1.08 1.20 1.30 1.40 1.52 1.60 1.59 1.47 1.24 0.94 0.66 0.49 0.47 0.59 0.76 0.90 0.92 0.83 0.68 0.59 0.64 0.83 1.09 1.33 1.46 1.46 1.41 1.39 1.47 1.66 1.89 2.08 2.15 2.12 2.00 1.87 1.76 1.66 1.55 1.38 1.12 0.77 0.38 0.03 0.00 0.00 0.00 0.00 22.5 + 25.0 0.00 0.01 0.10 0.15 0.21 0.35 0.58 0.86 1.06 1.10 0.96 0.72 0.52 0.46 0.57 0.79 0.97 1.02 0.92 0.74 0.59 0.54 0.63 0.80 0.99 1.14 1.25 1.34 1.43 1.52 1.58 1.58 1.48 1.28 1.01 0.74 0.54 0.47 0.53 0.68 0.83 0.90 0.88 0.80 0.75 0.81 1.01 1.30 1.57 1.75 1.79 1.74 1.69 1.73 1.86 2.06 2.23 2.29 2.22 2.04 1.82 1.62 1.46 1.33 1.20 1.00 0.71 0.36 0.02 0.00 0.00 0.00 0.00 0.01 0.10 0.15 0.21 0.35 0.58 0.86 1.06 1.10 0.96 0.72 0.52 0.46 0.57 0.79 0.97 1.02 0.92 0.74 0.59 0.54 0.63 0.80 0.99 1.14 1.25 1.34 1.43 1.52 1.58 1.58 1.48 1.28 1.01 0.74 0.54 0.47 0.53 0.68 0.83 0.90 0.88 0.80 0.75 0.81 1.01 1.30 1.57 1.75 1.79 1.74 1.69 1.73 1.86 2.06 2.23 2.29 2.22 2.04 1.82 1.62 1.46 1.33 1.20 1.00 0.71 0.36 0.02 0.00 0.00 0.00 0.00 25.0 + 27.5 0.00 0.17 0.29 0.34 0.39 0.51 0.74 1.03 1.27 1.36 1.25 1.02 0.79 0.69 0.76 0.94 1.10 1.15 1.06 0.87 0.69 0.61 0.65 0.78 0.93 1.06 1.16 1.22 1.28 1.33 1.37 1.37 1.32 1.18 0.98 0.76 0.57 0.47 0.49 0.61 0.79 0.93 1.01 1.02 1.05 1.16 1.41 1.76 2.13 2.41 2.53 2.50 2.42 2.36 2.39 2.49 2.58 2.58 2.45 2.19 1.86 1.56 1.33 1.19 1.09 0.94 0.72 0.41 0.08 0.00 0.00 0.00 0.00 0.17 0.29 0.34 0.39 0.51 0.74 1.03 1.27 1.36 1.25 1.02 0.79 0.69 0.76 0.94 1.10 1.15 1.06 0.87 0.69 0.61 0.65 0.78 0.93 1.06 1.16 1.22 1.28 1.33 1.37 1.37 1.32 1.18 0.98 0.76 0.57 0.47 0.49 0.61 0.79 0.93 1.01 1.02 1.05 1.16 1.41 1.76 2.13 2.41 2.53 2.50 2.42 2.36 2.39 2.49 2.58 2.58 2.45 2.19 1.86 1.56 1.33 1.19 1.09 0.94 0.72 0.41 0.08 0.00 0.00 0.00 0.00 27.5 + 30.0 0.17 0.39 0.53 0.57 0.57 0.64 0.82 1.09 1.34 1.45 1.37 1.15 0.91 0.78 0.81 0.96 1.11 1.17 1.09 0.91 0.72 0.60 0.58 0.64 0.75 0.84 0.90 0.93 0.95 0.97 0.99 1.01 1.01 0.97 0.88 0.75 0.61 0.51 0.51 0.62 0.82 1.04 1.22 1.35 1.47 1.66 1.99 2.44 2.93 3.35 3.58 3.61 3.50 3.34 3.22 3.17 3.13 3.03 2.79 2.43 2.00 1.60 1.31 1.15 1.07 0.97 0.79 0.51 0.19 0.00 0.00 0.00 0.17 0.39 0.53 0.57 0.57 0.64 0.82 1.09 1.34 1.45 1.37 1.15 0.91 0.78 0.81 0.96 1.11 1.17 1.09 0.91 0.72 0.60 0.58 0.64 0.75 0.84 0.90 0.93 0.95 0.97 0.99 1.01 1.01 0.97 0.88 0.75 0.61 0.51 0.51 0.62 0.82 1.04 1.22 1.35 1.47 1.66 1.99 2.44 2.93 3.35 3.58 3.61 3.50 3.34 3.22 3.17 3.13 3.03 2.79 2.43 2.00 1.60 1.31 1.15 1.07 0.97 0.79 0.51 0.19 0.00 0.00 0.00 0.17 30.0 + 32.5 0.39 0.63 0.76 0.77 0.72 0.71 0.83 1.05 1.28 1.40 1.34 1.12 0.87 0.72 0.72 0.84 1.00 1.07 1.02 0.85 0.65 0.50 0.43 0.43 0.48 0.53 0.56 0.57 0.57 0.57 0.58 0.62 0.69 0.76 0.80 0.79 0.72 0.65 0.64 0.74 0.95 1.23 1.50 1.72 1.93 2.19 2.58 3.12 3.74 4.31 4.68 4.78 4.66 4.40 4.14 3.92 3.73 3.50 3.17 2.72 2.21 1.74 1.40 1.22 1.15 1.09 0.94 0.68 0.36 0.12 0.04 0.15 0.39 0.63 0.76 0.77 0.72 0.71 0.83 1.05 1.28 1.40 1.34 1.12 0.87 0.72 0.72 0.84 1.00 1.07 1.02 0.85 0.65 0.50 0.43 0.43 0.48 0.53 0.56 0.57 0.57 0.57 0.58 0.62 0.69 0.76 0.80 0.79 0.72 0.65 0.64 0.74 0.95 1.23 1.50 1.72 1.93 2.19 2.58 3.12 3.74 4.31 4.68 4.78 4.66 4.40 4.14 3.92 3.73 3.50 3.17 2.72 2.21 1.74 1.40 1.22 1.15 1.09 0.94 0.68 0.36 0.12 0.04 0.15 0.39 32.5 + 35.0 0.58 0.81 0.94 0.91 0.80 0.73 0.78 0.96 1.17 1.29 1.23 1.03 0.76 0.58 0.55 0.65 0.81 0.90 0.88 0.74 0.54 0.37 0.25 0.21 0.22 0.25 0.28 0.29 0.29 0.28 0.31 0.38 0.51 0.68 0.83 0.92 0.92 0.87 0.85 0.92 1.13 1.42 1.74 2.02 2.27 2.55 2.97 3.56 4.27 4.95 5.44 5.62 5.51 5.19 4.81 4.46 4.15 3.84 3.45 2.96 2.41 1.92 1.57 1.39 1.34 1.31 1.18 0.92 0.60 0.34 0.24 0.34 0.58 0.81 0.94 0.91 0.80 0.73 0.78 0.96 1.17 1.29 1.23 1.03 0.76 0.58 0.55 0.65 0.81 0.90 0.88 0.74 0.54 0.37 0.25 0.21 0.22 0.25 0.28 0.29 0.29 0.28 0.31 0.38 0.51 0.68 0.83 0.92 0.92 0.87 0.85 0.92 1.13 1.42 1.74 2.02 2.27 2.55 2.97 3.56 4.27 4.95 5.44 5.62 5.51 5.19 4.81 4.46 4.15 3.84 3.45 2.96 2.41 1.92 1.57 1.39 1.34 1.31 1.18 0.92 0.60 0.34 0.24 0.34 0.58 35.0 + 37.5 0.72 0.93 1.03 0.98 0.84 0.73 0.74 0.89 1.09 1.22 1.17 0.96 0.68 0.47 0.40 0.48 0.63 0.74 0.75 0.64 0.45 0.27 0.14 0.08 0.09 0.13 0.18 0.21 0.23 0.24 0.28 0.37 0.54 0.76 0.97 1.11 1.15 1.11 1.06 1.09 1.26 1.54 1.86 2.14 2.37 2.62 3.00 3.56 4.28 5.01 5.57 5.82 5.74 5.41 4.97 4.56 4.20 3.87 3.49 3.02 2.51 2.05 1.73 1.60 1.58 1.58 1.47 1.22 0.89 0.59 0.46 0.52 0.72 0.93 1.03 0.98 0.84 0.73 0.74 0.89 1.09 1.22 1.17 0.96 0.68 0.47 0.40 0.48 0.63 0.74 0.75 0.64 0.45 0.27 0.14 0.08 0.09 0.13 0.18 0.21 0.23 0.24 0.28 0.37 0.54 0.76 0.97 1.11 1.15 1.11 1.06 1.09 1.26 1.54 1.86 2.14 2.37 2.62 3.00 3.56 4.28 5.01 5.57 5.82 5.74 5.41 4.97 4.56 4.20 3.87 3.49 3.02 2.51 2.05 1.73 1.60 1.58 1.58 1.47 1.22 0.89 0.59 0.46 0.52 0.72 37.5 + 40.0 0.83 1.00 1.08 1.02 0.88 0.77 0.78 0.93 1.14 1.27 1.24 1.02 0.71 0.45 0.34 0.38 0.53 0.66 0.69 0.61 0.44 0.26 0.13 0.09 0.13 0.20 0.29 0.36 0.40 0.42 0.46 0.55 0.72 0.93 1.14 1.28 1.31 1.24 1.16 1.15 1.27 1.51 1.78 2.01 2.18 2.34 2.62 3.09 3.74 4.45 5.03 5.31 5.26 4.96 4.53 4.13 3.81 3.53 3.22 2.85 2.43 2.05 1.81 1.74 1.78 1.83 1.76 1.54 1.20 0.87 0.68 0.68 0.83 1.00 1.08 1.02 0.88 0.77 0.78 0.93 1.14 1.27 1.24 1.02 0.71 0.45 0.34 0.38 0.53 0.66 0.69 0.61 0.44 0.26 0.13 0.09 0.13 0.20 0.29 0.36 0.40 0.42 0.46 0.55 0.72 0.93 1.14 1.28 1.31 1.24 1.16 1.15 1.27 1.51 1.78 2.01 2.18 2.34 2.62 3.09 3.74 4.45 5.03 5.31 5.26 4.96 4.53 4.13 3.81 3.53 3.22 2.85 2.43 2.05 1.81 1.74 1.78 1.83 1.76 1.54 1.20 0.87 0.68 0.68 0.83 40.0 + 42.5 0.95 1.08 1.15 1.11 0.99 0.90 0.93 1.10 1.33 1.48 1.45 1.22 0.88 0.57 0.40 0.41 0.54 0.69 0.74 0.67 0.52 0.36 0.25 0.24 0.32 0.43 0.55 0.64 0.68 0.70 0.72 0.79 0.92 1.08 1.24 1.32 1.30 1.19 1.08 1.04 1.12 1.31 1.53 1.68 1.75 1.80 1.95 2.29 2.82 3.44 3.97 4.26 4.24 3.98 3.62 3.28 3.04 2.87 2.69 2.44 2.14 1.87 1.72 1.72 1.83 1.95 1.95 1.78 1.47 1.13 0.91 0.85 0.95 1.08 1.15 1.11 0.99 0.90 0.93 1.10 1.33 1.48 1.45 1.22 0.88 0.57 0.40 0.41 0.54 0.69 0.74 0.67 0.52 0.36 0.25 0.24 0.32 0.43 0.55 0.64 0.68 0.70 0.72 0.79 0.92 1.08 1.24 1.32 1.30 1.19 1.08 1.04 1.12 1.31 1.53 1.68 1.75 1.80 1.95 2.29 2.82 3.44 3.97 4.26 4.24 3.98 3.62 3.28 3.04 2.87 2.69 2.44 2.14 1.87 1.72 1.72 1.83 1.95 1.95 1.78 1.47 1.13 0.91 0.85 0.95 42.5 + 45.0 1.10 1.23 1.30 1.29 1.22 1.18 1.24 1.44 1.68 1.84 1.82 1.57 1.19 0.83 0.60 0.57 0.67 0.81 0.87 0.81 0.67 0.53 0.45 0.47 0.58 0.71 0.83 0.90 0.91 0.90 0.90 0.93 1.00 1.09 1.16 1.17 1.09 0.96 0.84 0.80 0.87 1.02 1.18 1.26 1.24 1.18 1.20 1.40 1.80 2.30 2.75 3.00 2.99 2.78 2.48 2.24 2.10 2.05 2.00 1.88 1.70 1.52 1.44 1.51 1.69 1.88 1.97 1.88 1.63 1.34 1.11 1.04 1.10 1.23 1.30 1.29 1.22 1.18 1.24 1.44 1.68 1.84 1.82 1.57 1.19 0.83 0.60 0.57 0.67 0.81 0.87 0.81 0.67 0.53 0.45 0.47 0.58 0.71 0.83 0.90 0.91 0.90 0.90 0.93 1.00 1.09 1.16 1.17 1.09 0.96 0.84 0.80 0.87 1.02 1.18 1.26 1.24 1.18 1.20 1.40 1.80 2.30 2.75 3.00 2.99 2.78 2.48 2.24 2.10 2.05 2.00 1.88 1.70 1.52 1.44 1.51 1.69 1.88 1.97 1.88 1.63 1.34 1.11 1.04 1.10 45.0 + 47.5 1.29 1.43 1.55 1.59 1.58 1.59 1.69 1.90 2.16 2.32 2.29 2.04 1.63 1.21 0.92 0.83 0.89 0.99 1.03 0.97 0.83 0.70 0.65 0.70 0.81 0.94 1.02 1.03 0.98 0.92 0.88 0.87 0.90 0.93 0.93 0.87 0.76 0.63 0.54 0.53 0.61 0.75 0.86 0.89 0.80 0.67 0.59 0.68 0.94 1.33 1.68 1.87 1.85 1.67 1.43 1.26 1.21 1.26 1.31 1.29 1.20 1.08 1.04 1.14 1.36 1.61 1.78 1.79 1.65 1.43 1.26 1.21 1.29 1.43 1.55 1.59 1.58 1.59 1.69 1.90 2.16 2.32 2.29 2.04 1.63 1.21 0.92 0.83 0.89 0.99 1.03 0.97 0.83 0.70 0.65 0.70 0.81 0.94 1.02 1.03 0.98 0.92 0.88 0.87 0.90 0.93 0.93 0.87 0.76 0.63 0.54 0.53 0.61 0.75 0.86 0.89 0.80 0.67 0.59 0.68 0.94 1.33 1.68 1.87 1.85 1.67 1.43 1.26 1.21 1.26 1.31 1.29 1.20 1.08 1.04 1.14 1.36 1.61 1.78 1.79 1.65 1.43 1.26 1.21 1.29 47.5 + 50.0 1.43 1.63 1.82 1.94 2.01 2.08 2.22 2.45 2.70 2.88 2.85 2.60 2.18 1.72 1.37 1.20 1.18 1.21 1.20 1.11 0.96 0.84 0.80 0.85 0.97 1.06 1.07 1.00 0.88 0.76 0.68 0.65 0.66 0.66 0.62 0.54 0.43 0.33 0.29 0.33 0.45 0.58 0.67 0.66 0.54 0.37 0.24 0.25 0.42 0.69 0.95 1.08 1.04 0.86 0.65 0.53 0.53 0.64 0.76 0.80 0.75 0.66 0.62 0.70 0.92 1.19 1.43 1.53 1.50 1.38 1.29 1.30 1.43 1.63 1.82 1.94 2.01 2.08 2.22 2.45 2.70 2.88 2.85 2.60 2.18 1.72 1.37 1.20 1.18 1.21 1.20 1.11 0.96 0.84 0.80 0.85 0.97 1.06 1.07 1.00 0.88 0.76 0.68 0.65 0.66 0.66 0.62 0.54 0.43 0.33 0.29 0.33 0.45 0.58 0.67 0.66 0.54 0.37 0.24 0.25 0.42 0.69 0.95 1.08 1.04 0.86 0.65 0.53 0.53 0.64 0.76 0.80 0.75 0.66 0.62 0.70 0.92 1.19 1.43 1.53 1.50 1.38 1.29 1.30 1.43 50.0 + 52.5 1.45 1.73 2.01 2.24 2.40 2.54 2.73 2.98 3.25 3.44 3.44 3.22 2.81 2.34 1.93 1.68 1.55 1.48 1.39 1.24 1.06 0.92 0.88 0.94 1.03 1.08 1.03 0.88 0.69 0.53 0.43 0.39 0.40 0.39 0.35 0.28 0.21 0.16 0.18 0.27 0.40 0.53 0.61 0.59 0.46 0.29 0.15 0.11 0.21 0.39 0.57 0.65 0.58 0.40 0.21 0.09 0.12 0.24 0.39 0.47 0.44 0.34 0.27 0.30 0.47 0.72 0.98 1.14 1.19 1.17 1.17 1.25 1.45 1.73 2.01 2.24 2.40 2.54 2.73 2.98 3.25 3.44 3.44 3.22 2.81 2.34 1.93 1.68 1.55 1.48 1.39 1.24 1.06 0.92 0.88 0.94 1.03 1.08 1.03 0.88 0.69 0.53 0.43 0.39 0.40 0.39 0.35 0.28 0.21 0.16 0.18 0.27 0.40 0.53 0.61 0.59 0.46 0.29 0.15 0.11 0.21 0.39 0.57 0.65 0.58 0.40 0.21 0.09 0.12 0.24 0.39 0.47 0.44 0.34 0.27 0.30 0.47 0.72 0.98 1.14 1.19 1.17 1.17 1.25 1.45 52.5 + 55.0 1.31 1.66 2.03 2.36 2.63 2.86 3.11 3.40 3.70 3.92 3.97 3.81 3.46 3.01 2.58 2.25 2.01 1.83 1.63 1.40 1.17 1.01 0.96 1.00 1.06 1.07 0.98 0.78 0.55 0.36 0.25 0.22 0.23 0.24 0.22 0.18 0.14 0.14 0.19 0.30 0.43 0.54 0.61 0.59 0.48 0.33 0.19 0.13 0.17 0.29 0.42 0.47 0.39 0.22 0.03 0.00 0.00 0.04 0.18 0.27 0.25 0.14 0.03 0.00 0.09 0.29 0.52 0.70 0.79 0.83 0.89 1.04 1.31 1.66 2.03 2.36 2.63 2.86 3.11 3.40 3.70 3.92 3.97 3.81 3.46 3.01 2.58 2.25 2.01 1.83 1.63 1.40 1.17 1.01 0.96 1.00 1.06 1.07 0.98 0.78 0.55 0.36 0.25 0.22 0.23 0.24 0.22 0.18 0.14 0.14 0.19 0.30 0.43 0.54 0.61 0.59 0.48 0.33 0.19 0.13 0.17 0.29 0.42 0.47 0.39 0.22 0.03 0.00 0.00 0.04 0.18 0.27 0.25 0.14 0.03 0.00 0.09 0.29 0.52 0.70 0.79 0.83 0.89 1.04 1.31 55.0 + 57.5 1.00 1.41 1.86 2.28 2.64 2.96 3.27 3.60 3.94 4.21 4.34 4.27 4.01 3.64 3.23 2.86 2.54 2.25 1.95 1.65 1.37 1.17 1.08 1.09 1.12 1.10 0.99 0.78 0.55 0.36 0.25 0.22 0.23 0.25 0.24 0.22 0.20 0.22 0.27 0.35 0.44 0.52 0.56 0.55 0.48 0.36 0.23 0.14 0.14 0.22 0.32 0.37 0.32 0.17 0.00 0.00 0.00 0.00 0.06 0.16 0.14 0.03 0.00 0.00 0.00 0.00 0.12 0.27 0.37 0.43 0.51 0.70 1.00 1.41 1.86 2.28 2.64 2.96 3.27 3.60 3.94 4.21 4.34 4.27 4.01 3.64 3.23 2.86 2.54 2.25 1.95 1.65 1.37 1.17 1.08 1.09 1.12 1.10 0.99 0.78 0.55 0.36 0.25 0.22 0.23 0.25 0.24 0.22 0.20 0.22 0.27 0.35 0.44 0.52 0.56 0.55 0.48 0.36 0.23 0.14 0.14 0.22 0.32 0.37 0.32 0.17 0.00 0.00 0.00 0.00 0.06 0.16 0.14 0.03 0.00 0.00 0.00 0.00 0.12 0.27 0.37 0.43 0.51 0.70 1.00 57.5 + 60.0 0.64 1.07 1.55 2.02 2.45 2.82 3.18 3.54 3.91 4.22 4.43 4.47 4.35 4.10 3.77 3.42 3.07 2.73 2.36 2.00 1.67 1.43 1.29 1.25 1.24 1.19 1.08 0.89 0.69 0.52 0.42 0.38 0.38 0.37 0.36 0.34 0.32 0.32 0.32 0.34 0.37 0.40 0.42 0.42 0.38 0.29 0.17 0.07 0.03 0.08 0.18 0.26 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.33 0.64 1.07 1.55 2.02 2.45 2.82 3.18 3.54 3.91 4.22 4.43 4.47 4.35 4.10 3.77 3.42 3.07 2.73 2.36 2.00 1.67 1.43 1.29 1.25 1.24 1.19 1.08 0.89 0.69 0.52 0.42 0.38 0.38 0.37 0.36 0.34 0.32 0.32 0.32 0.34 0.37 0.40 0.42 0.42 0.38 0.29 0.17 0.07 0.03 0.08 0.18 0.26 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.33 0.64 60.0 + 62.5 0.36 0.77 1.24 1.71 2.14 2.52 2.88 3.24 3.60 3.94 4.21 4.36 4.38 4.28 4.08 3.82 3.52 3.17 2.80 2.42 2.06 1.77 1.58 1.47 1.40 1.33 1.22 1.07 0.91 0.78 0.69 0.63 0.60 0.56 0.51 0.46 0.41 0.37 0.32 0.28 0.23 0.21 0.21 0.22 0.20 0.13 0.01 0.00 0.00 0.00 0.00 0.10 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.36 0.77 1.24 1.71 2.14 2.52 2.88 3.24 3.60 3.94 4.21 4.36 4.38 4.28 4.08 3.82 3.52 3.17 2.80 2.42 2.06 1.77 1.58 1.47 1.40 1.33 1.22 1.07 0.91 0.78 0.69 0.63 0.60 0.56 0.51 0.46 0.41 0.37 0.32 0.28 0.23 0.21 0.21 0.22 0.20 0.13 0.01 0.00 0.00 0.00 0.00 0.10 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.36 62.5 + 65.0 0.28 0.64 1.06 1.47 1.84 2.17 2.48 2.78 3.10 3.42 3.71 3.94 4.10 4.15 4.11 3.98 3.77 3.50 3.18 2.82 2.47 2.15 1.90 1.72 1.59 1.48 1.37 1.26 1.15 1.05 0.98 0.91 0.83 0.73 0.63 0.53 0.44 0.36 0.27 0.18 0.09 0.03 0.02 0.02 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.64 1.06 1.47 1.84 2.17 2.48 2.78 3.10 3.42 3.71 3.94 4.10 4.15 4.11 3.98 3.77 3.50 3.18 2.82 2.47 2.15 1.90 1.72 1.59 1.48 1.37 1.26 1.15 1.05 0.98 0.91 0.83 0.73 0.63 0.53 0.44 0.36 0.27 0.18 0.09 0.03 0.02 0.02 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 65.0 + 67.5 0.43 0.75 1.08 1.39 1.65 1.88 2.08 2.29 2.52 2.78 3.06 3.33 3.57 3.75 3.86 3.87 3.80 3.64 3.41 3.12 2.80 2.48 2.19 1.95 1.77 1.62 1.51 1.42 1.36 1.30 1.24 1.15 1.02 0.87 0.70 0.54 0.42 0.31 0.21 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.43 0.75 1.08 1.39 1.65 1.88 2.08 2.29 2.52 2.78 3.06 3.33 3.57 3.75 3.86 3.87 3.80 3.64 3.41 3.12 2.80 2.48 2.19 1.95 1.77 1.62 1.51 1.42 1.36 1.30 1.24 1.15 1.02 0.87 0.70 0.54 0.42 0.31 0.21 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.43 67.5 + 70.0 0.76 1.04 1.28 1.47 1.60 1.69 1.76 1.85 1.98 2.16 2.40 2.66 2.94 3.20 3.41 3.54 3.59 3.55 3.43 3.24 2.99 2.70 2.41 2.14 1.92 1.76 1.65 1.59 1.55 1.53 1.47 1.37 1.20 0.98 0.74 0.53 0.36 0.24 0.15 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.29 0.50 0.76 1.04 1.28 1.47 1.60 1.69 1.76 1.85 1.98 2.16 2.40 2.66 2.94 3.20 3.41 3.54 3.59 3.55 3.43 3.24 2.99 2.70 2.41 2.14 1.92 1.76 1.65 1.59 1.55 1.53 1.47 1.37 1.20 0.98 0.74 0.53 0.36 0.24 0.15 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.25 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.29 0.50 0.76 70.0 + 72.5 1.16 1.40 1.57 1.65 1.65 1.61 1.55 1.53 1.56 1.67 1.85 2.08 2.35 2.62 2.86 3.05 3.19 3.25 3.25 3.16 3.00 2.78 2.52 2.26 2.05 1.89 1.81 1.77 1.77 1.76 1.71 1.58 1.37 1.10 0.80 0.53 0.33 0.20 0.12 0.07 0.04 0.03 0.03 0.06 0.08 0.06 0.01 0.00 0.00 0.00 0.14 0.32 0.45 0.45 0.34 0.15 0.00 0.00 0.00 0.00 0.09 0.13 0.13 0.12 0.13 0.16 0.21 0.28 0.36 0.49 0.67 0.90 1.16 1.40 1.57 1.65 1.65 1.61 1.55 1.53 1.56 1.67 1.85 2.08 2.35 2.62 2.86 3.05 3.19 3.25 3.25 3.16 3.00 2.78 2.52 2.26 2.05 1.89 1.81 1.77 1.77 1.76 1.71 1.58 1.37 1.10 0.80 0.53 0.33 0.20 0.12 0.07 0.04 0.03 0.03 0.06 0.08 0.06 0.01 0.00 0.00 0.00 0.14 0.32 0.45 0.45 0.34 0.15 0.00 0.00 0.00 0.00 0.09 0.13 0.13 0.12 0.13 0.16 0.21 0.28 0.36 0.49 0.67 0.90 1.16 72.5 + 75.0 1.49 1.70 1.81 1.81 1.71 1.56 1.40 1.29 1.26 1.31 1.45 1.65 1.87 2.10 2.30 2.48 2.64 2.78 2.87 2.89 2.83 2.69 2.49 2.29 2.12 2.01 1.98 1.99 2.02 2.02 1.95 1.81 1.57 1.27 0.93 0.63 0.38 0.22 0.12 0.07 0.05 0.05 0.08 0.13 0.17 0.18 0.17 0.15 0.18 0.27 0.43 0.59 0.69 0.66 0.52 0.32 0.17 0.11 0.16 0.26 0.35 0.39 0.38 0.36 0.36 0.40 0.47 0.56 0.66 0.81 1.00 1.24 1.49 1.70 1.81 1.81 1.71 1.56 1.40 1.29 1.26 1.31 1.45 1.65 1.87 2.10 2.30 2.48 2.64 2.78 2.87 2.89 2.83 2.69 2.49 2.29 2.12 2.01 1.98 1.99 2.02 2.02 1.95 1.81 1.57 1.27 0.93 0.63 0.38 0.22 0.12 0.07 0.05 0.05 0.08 0.13 0.17 0.18 0.17 0.15 0.18 0.27 0.43 0.59 0.69 0.66 0.52 0.32 0.17 0.11 0.16 0.26 0.35 0.39 0.38 0.36 0.36 0.40 0.47 0.56 0.66 0.81 1.00 1.24 1.49 75.0 + 77.5 1.65 1.83 1.91 1.86 1.70 1.47 1.24 1.08 1.01 1.05 1.18 1.34 1.51 1.65 1.77 1.88 2.01 2.17 2.33 2.46 2.50 2.44 2.31 2.17 2.07 2.05 2.09 2.17 2.23 2.23 2.16 2.00 1.77 1.48 1.15 0.84 0.56 0.34 0.17 0.06 0.00 0.00 0.02 0.09 0.16 0.20 0.23 0.25 0.32 0.44 0.61 0.77 0.84 0.77 0.60 0.41 0.28 0.26 0.36 0.49 0.59 0.61 0.57 0.51 0.50 0.55 0.64 0.76 0.88 1.03 1.21 1.43 1.65 1.83 1.91 1.86 1.70 1.47 1.24 1.08 1.01 1.05 1.18 1.34 1.51 1.65 1.77 1.88 2.01 2.17 2.33 2.46 2.50 2.44 2.31 2.17 2.07 2.05 2.09 2.17 2.23 2.23 2.16 2.00 1.77 1.48 1.15 0.84 0.56 0.34 0.17 0.06 0.00 0.00 0.02 0.09 0.16 0.20 0.23 0.25 0.32 0.44 0.61 0.77 0.84 0.77 0.60 0.41 0.28 0.26 0.36 0.49 0.59 0.61 0.57 0.51 0.50 0.55 0.64 0.76 0.88 1.03 1.21 1.43 1.65 77.5 + 80.0 1.62 1.77 1.83 1.76 1.57 1.30 1.03 0.84 0.76 0.82 0.96 1.12 1.23 1.27 1.26 1.26 1.33 1.49 1.70 1.90 2.02 2.03 1.96 1.88 1.86 1.93 2.07 2.21 2.30 2.31 2.24 2.09 1.91 1.68 1.44 1.17 0.88 0.59 0.31 0.08 0.00 0.00 0.00 0.00 0.04 0.10 0.15 0.19 0.28 0.43 0.62 0.78 0.83 0.73 0.54 0.34 0.24 0.28 0.44 0.62 0.72 0.72 0.63 0.53 0.50 0.55 0.68 0.83 0.98 1.12 1.27 1.44 1.62 1.77 1.83 1.76 1.57 1.30 1.03 0.84 0.76 0.82 0.96 1.12 1.23 1.27 1.26 1.26 1.33 1.49 1.70 1.90 2.02 2.03 1.96 1.88 1.86 1.93 2.07 2.21 2.30 2.31 2.24 2.09 1.91 1.68 1.44 1.17 0.88 0.59 0.31 0.08 0.00 0.00 0.00 0.00 0.04 0.10 0.15 0.19 0.28 0.43 0.62 0.78 0.83 0.73 0.54 0.34 0.24 0.28 0.44 0.62 0.72 0.72 0.63 0.53 0.50 0.55 0.68 0.83 0.98 1.12 1.27 1.44 1.62 80.0 + 82.5 1.45 1.56 1.61 1.54 1.35 1.06 0.77 0.55 0.48 0.56 0.74 0.91 0.98 0.93 0.80 0.68 0.66 0.80 1.04 1.29 1.47 1.51 1.47 1.43 1.46 1.61 1.82 2.02 2.15 2.17 2.10 2.00 1.90 1.82 1.71 1.55 1.30 0.96 0.57 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.26 0.46 0.63 0.66 0.54 0.32 0.12 0.05 0.15 0.37 0.61 0.73 0.70 0.56 0.41 0.35 0.42 0.59 0.79 0.96 1.10 1.21 1.32 1.45 1.56 1.61 1.54 1.35 1.06 0.77 0.55 0.48 0.56 0.74 0.91 0.98 0.93 0.80 0.68 0.66 0.80 1.04 1.29 1.47 1.51 1.47 1.43 1.46 1.61 1.82 2.02 2.15 2.17 2.10 2.00 1.90 1.82 1.71 1.55 1.30 0.96 0.57 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.26 0.46 0.63 0.66 0.54 0.32 0.12 0.05 0.15 0.37 0.61 0.73 0.70 0.56 0.41 0.35 0.42 0.59 0.79 0.96 1.10 1.21 1.32 1.45 82.5 + 85.0 1.22 1.30 1.34 1.28 1.10 0.81 0.50 0.27 0.20 0.30 0.51 0.70 0.76 0.64 0.40 0.17 0.08 0.18 0.44 0.72 0.92 0.98 0.93 0.88 0.93 1.11 1.36 1.60 1.74 1.76 1.71 1.67 1.70 1.80 1.89 1.89 1.73 1.40 0.93 0.45 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.24 0.40 0.43 0.29 0.05 0.00 0.00 0.00 0.22 0.50 0.64 0.59 0.41 0.22 0.14 0.22 0.43 0.68 0.88 1.02 1.09 1.14 1.22 1.30 1.34 1.28 1.10 0.81 0.50 0.27 0.20 0.30 0.51 0.70 0.76 0.64 0.40 0.17 0.08 0.18 0.44 0.72 0.92 0.98 0.93 0.88 0.93 1.11 1.36 1.60 1.74 1.76 1.71 1.67 1.70 1.80 1.89 1.89 1.73 1.40 0.93 0.45 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.24 0.40 0.43 0.29 0.05 0.00 0.00 0.00 0.22 0.50 0.64 0.59 0.41 0.22 0.14 0.22 0.43 0.68 0.88 1.02 1.09 1.14 1.22 85.0 + 87.5 1.03 1.08 1.11 1.07 0.90 0.62 0.29 0.05 0.00 0.09 0.33 0.54 0.59 0.43 0.13 0.00 0.00 0.00 0.00 0.29 0.49 0.53 0.45 0.37 0.39 0.55 0.80 1.02 1.15 1.17 1.14 1.17 1.32 1.59 1.89 2.08 2.07 1.80 1.34 0.82 0.37 0.11 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.10 0.25 0.26 0.10 0.00 0.00 0.00 0.00 0.06 0.38 0.54 0.49 0.28 0.05 0.00 0.03 0.27 0.57 0.81 0.95 1.00 1.01 1.03 1.08 1.11 1.07 0.90 0.62 0.29 0.05 0.00 0.09 0.33 0.54 0.59 0.43 0.13 0.00 0.00 0.00 0.00 0.29 0.49 0.53 0.45 0.37 0.39 0.55 0.80 1.02 1.15 1.17 1.14 1.17 1.32 1.59 1.89 2.08 2.07 1.80 1.34 0.82 0.37 0.11 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.10 0.25 0.26 0.10 0.00 0.00 0.00 0.00 0.06 0.38 0.54 0.49 0.28 0.05 0.00 0.03 0.27 0.57 0.81 0.95 1.00 1.01 1.03 87.5 + 90.0 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 90.0 + + 22.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.52 ) PHI2 = 23. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.0 + 2.5 0.49 0.39 0.35 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.41 0.40 0.42 0.50 0.65 0.84 1.05 1.28 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.82 1.58 1.35 1.12 0.91 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.07 0.85 0.65 0.49 0.39 0.35 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.41 0.40 0.42 0.50 0.65 0.84 1.05 1.28 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.82 1.58 1.35 1.12 0.91 0.71 0.55 0.45 0.41 0.41 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.23 0.33 0.36 0.37 0.42 0.54 0.71 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.07 0.85 0.65 0.49 2.5 + 5.0 0.36 0.28 0.27 0.32 0.36 0.34 0.23 0.06 0.00 0.00 0.00 0.03 0.24 0.41 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.38 1.65 1.91 2.11 2.22 2.21 2.09 1.88 1.64 1.38 1.13 0.90 0.71 0.57 0.51 0.49 0.50 0.46 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.36 0.37 0.38 0.45 0.58 0.76 0.98 1.22 1.47 1.74 2.02 2.27 2.43 2.45 2.32 2.07 1.76 1.45 1.17 0.92 0.70 0.51 0.36 0.28 0.27 0.32 0.36 0.34 0.23 0.06 0.00 0.00 0.00 0.03 0.24 0.41 0.49 0.48 0.43 0.39 0.41 0.51 0.68 0.89 1.13 1.38 1.65 1.91 2.11 2.22 2.21 2.09 1.88 1.64 1.38 1.13 0.90 0.71 0.57 0.51 0.49 0.50 0.46 0.33 0.13 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.36 0.37 0.38 0.45 0.58 0.76 0.98 1.22 1.47 1.74 2.02 2.27 2.43 2.45 2.32 2.07 1.76 1.45 1.17 0.92 0.70 0.51 0.36 5.0 + 7.5 0.21 0.15 0.18 0.26 0.36 0.42 0.40 0.29 0.16 0.08 0.09 0.21 0.39 0.54 0.61 0.57 0.47 0.36 0.30 0.34 0.48 0.68 0.93 1.21 1.49 1.76 1.99 2.13 2.16 2.09 1.91 1.66 1.37 1.10 0.86 0.69 0.59 0.58 0.61 0.63 0.60 0.47 0.28 0.09 0.00 0.00 0.07 0.24 0.39 0.48 0.50 0.49 0.51 0.58 0.73 0.91 1.13 1.36 1.63 1.93 2.23 2.48 2.62 2.59 2.39 2.06 1.68 1.31 0.99 0.73 0.51 0.34 0.21 0.15 0.18 0.26 0.36 0.42 0.40 0.29 0.16 0.08 0.09 0.21 0.39 0.54 0.61 0.57 0.47 0.36 0.30 0.34 0.48 0.68 0.93 1.21 1.49 1.76 1.99 2.13 2.16 2.09 1.91 1.66 1.37 1.10 0.86 0.69 0.59 0.58 0.61 0.63 0.60 0.47 0.28 0.09 0.00 0.00 0.07 0.24 0.39 0.48 0.50 0.49 0.51 0.58 0.73 0.91 1.13 1.36 1.63 1.93 2.23 2.48 2.62 2.59 2.39 2.06 1.68 1.31 0.99 0.73 0.51 0.34 0.21 7.5 + 10.0 0.11 0.07 0.10 0.21 0.34 0.46 0.50 0.45 0.35 0.24 0.21 0.28 0.43 0.58 0.66 0.63 0.51 0.35 0.24 0.22 0.32 0.51 0.76 1.03 1.30 1.56 1.78 1.95 2.03 1.99 1.85 1.61 1.31 1.02 0.78 0.64 0.61 0.66 0.75 0.80 0.77 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.76 0.81 0.79 0.77 0.79 0.88 1.03 1.20 1.38 1.59 1.83 2.11 2.40 2.63 2.73 2.64 2.36 1.96 1.51 1.10 0.77 0.52 0.34 0.20 0.11 0.07 0.10 0.21 0.34 0.46 0.50 0.45 0.35 0.24 0.21 0.28 0.43 0.58 0.66 0.63 0.51 0.35 0.24 0.22 0.32 0.51 0.76 1.03 1.30 1.56 1.78 1.95 2.03 1.99 1.85 1.61 1.31 1.02 0.78 0.64 0.61 0.66 0.75 0.80 0.77 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.76 0.81 0.79 0.77 0.79 0.88 1.03 1.20 1.38 1.59 1.83 2.11 2.40 2.63 2.73 2.64 2.36 1.96 1.51 1.10 0.77 0.52 0.34 0.20 0.11 10.0 + 12.5 0.06 0.04 0.07 0.16 0.30 0.44 0.52 0.51 0.41 0.28 0.20 0.22 0.34 0.51 0.64 0.65 0.55 0.38 0.23 0.17 0.24 0.41 0.64 0.89 1.13 1.34 1.54 1.71 1.82 1.83 1.72 1.51 1.21 0.92 0.69 0.58 0.61 0.73 0.87 0.96 0.94 0.82 0.66 0.55 0.55 0.68 0.88 1.07 1.19 1.20 1.17 1.14 1.18 1.28 1.42 1.56 1.70 1.84 2.01 2.23 2.47 2.64 2.68 2.53 2.19 1.74 1.27 0.85 0.54 0.33 0.20 0.12 0.06 0.04 0.07 0.16 0.30 0.44 0.52 0.51 0.41 0.28 0.20 0.22 0.34 0.51 0.64 0.65 0.55 0.38 0.23 0.17 0.24 0.41 0.64 0.89 1.13 1.34 1.54 1.71 1.82 1.83 1.72 1.51 1.21 0.92 0.69 0.58 0.61 0.73 0.87 0.96 0.94 0.82 0.66 0.55 0.55 0.68 0.88 1.07 1.19 1.20 1.17 1.14 1.18 1.28 1.42 1.56 1.70 1.84 2.01 2.23 2.47 2.64 2.68 2.53 2.19 1.74 1.27 0.85 0.54 0.33 0.20 0.12 0.06 12.5 + 15.0 0.05 0.04 0.05 0.12 0.25 0.39 0.49 0.50 0.40 0.24 0.11 0.09 0.19 0.38 0.56 0.63 0.58 0.43 0.27 0.19 0.24 0.39 0.60 0.81 1.00 1.17 1.33 1.49 1.62 1.67 1.61 1.42 1.14 0.85 0.62 0.54 0.60 0.77 0.96 1.08 1.07 0.95 0.80 0.72 0.77 0.95 1.19 1.40 1.51 1.52 1.47 1.45 1.50 1.62 1.77 1.90 1.98 2.05 2.14 2.27 2.42 2.51 2.47 2.27 1.91 1.44 0.98 0.58 0.31 0.16 0.09 0.07 0.05 0.04 0.05 0.12 0.25 0.39 0.49 0.50 0.40 0.24 0.11 0.09 0.19 0.38 0.56 0.63 0.58 0.43 0.27 0.19 0.24 0.39 0.60 0.81 1.00 1.17 1.33 1.49 1.62 1.67 1.61 1.42 1.14 0.85 0.62 0.54 0.60 0.77 0.96 1.08 1.07 0.95 0.80 0.72 0.77 0.95 1.19 1.40 1.51 1.52 1.47 1.45 1.50 1.62 1.77 1.90 1.98 2.05 2.14 2.27 2.42 2.51 2.47 2.27 1.91 1.44 0.98 0.58 0.31 0.16 0.09 0.07 0.05 15.0 + 17.5 0.03 0.03 0.04 0.09 0.20 0.35 0.48 0.51 0.43 0.25 0.07 0.00 0.07 0.26 0.48 0.62 0.62 0.50 0.35 0.26 0.29 0.42 0.61 0.80 0.96 1.09 1.23 1.38 1.52 1.60 1.57 1.41 1.15 0.85 0.62 0.53 0.59 0.77 0.98 1.11 1.11 1.00 0.86 0.79 0.85 1.06 1.32 1.54 1.65 1.64 1.60 1.58 1.65 1.80 1.97 2.10 2.16 2.18 2.19 2.21 2.25 2.25 2.16 1.93 1.56 1.13 0.69 0.33 0.10 0.00 0.00 0.01 0.03 0.03 0.04 0.09 0.20 0.35 0.48 0.51 0.43 0.25 0.07 0.00 0.07 0.26 0.48 0.62 0.62 0.50 0.35 0.26 0.29 0.42 0.61 0.80 0.96 1.09 1.23 1.38 1.52 1.60 1.57 1.41 1.15 0.85 0.62 0.53 0.59 0.77 0.98 1.11 1.11 1.00 0.86 0.79 0.85 1.06 1.32 1.54 1.65 1.64 1.60 1.58 1.65 1.80 1.97 2.10 2.16 2.18 2.19 2.21 2.25 2.25 2.16 1.93 1.56 1.13 0.69 0.33 0.10 0.00 0.00 0.01 0.03 17.5 + 20.0 0.00 0.02 0.03 0.08 0.19 0.36 0.53 0.61 0.55 0.37 0.16 0.03 0.06 0.23 0.47 0.64 0.69 0.60 0.45 0.35 0.36 0.48 0.66 0.85 0.99 1.12 1.24 1.38 1.52 1.62 1.61 1.48 1.23 0.93 0.68 0.55 0.58 0.73 0.92 1.06 1.08 0.99 0.86 0.79 0.85 1.05 1.31 1.52 1.63 1.63 1.57 1.56 1.63 1.80 2.00 2.15 2.22 2.21 2.15 2.08 2.02 1.94 1.80 1.56 1.23 0.84 0.45 0.13 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.08 0.19 0.36 0.53 0.61 0.55 0.37 0.16 0.03 0.06 0.23 0.47 0.64 0.69 0.60 0.45 0.35 0.36 0.48 0.66 0.85 0.99 1.12 1.24 1.38 1.52 1.62 1.61 1.48 1.23 0.93 0.68 0.55 0.58 0.73 0.92 1.06 1.08 0.99 0.86 0.79 0.85 1.05 1.31 1.52 1.63 1.63 1.57 1.56 1.63 1.80 2.00 2.15 2.22 2.21 2.15 2.08 2.02 1.94 1.80 1.56 1.23 0.84 0.45 0.13 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.04 0.10 0.22 0.42 0.64 0.78 0.78 0.62 0.39 0.21 0.18 0.32 0.54 0.72 0.79 0.71 0.57 0.45 0.44 0.55 0.72 0.91 1.06 1.19 1.31 1.44 1.57 1.66 1.67 1.55 1.32 1.03 0.76 0.58 0.56 0.66 0.82 0.96 1.01 0.96 0.86 0.81 0.87 1.06 1.31 1.54 1.66 1.66 1.60 1.57 1.63 1.79 1.99 2.16 2.23 2.20 2.08 1.93 1.77 1.62 1.45 1.23 0.96 0.64 0.29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.22 0.42 0.64 0.78 0.78 0.62 0.39 0.21 0.18 0.32 0.54 0.72 0.79 0.71 0.57 0.45 0.44 0.55 0.72 0.91 1.06 1.19 1.31 1.44 1.57 1.66 1.67 1.55 1.32 1.03 0.76 0.58 0.56 0.66 0.82 0.96 1.01 0.96 0.86 0.81 0.87 1.06 1.31 1.54 1.66 1.66 1.60 1.57 1.63 1.79 1.99 2.16 2.23 2.20 2.08 1.93 1.77 1.62 1.45 1.23 0.96 0.64 0.29 0.00 0.00 0.00 0.00 0.00 0.00 22.5 + 25.0 0.00 0.04 0.09 0.16 0.29 0.51 0.77 0.97 1.02 0.90 0.67 0.46 0.38 0.47 0.66 0.84 0.90 0.83 0.69 0.56 0.52 0.60 0.76 0.94 1.09 1.22 1.33 1.44 1.54 1.62 1.62 1.53 1.33 1.08 0.81 0.62 0.54 0.58 0.71 0.86 0.96 0.98 0.95 0.95 1.04 1.25 1.52 1.78 1.95 1.99 1.94 1.88 1.88 1.98 2.14 2.28 2.33 2.26 2.07 1.82 1.57 1.35 1.16 0.98 0.77 0.51 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.16 0.29 0.51 0.77 0.97 1.02 0.90 0.67 0.46 0.38 0.47 0.66 0.84 0.90 0.83 0.69 0.56 0.52 0.60 0.76 0.94 1.09 1.22 1.33 1.44 1.54 1.62 1.62 1.53 1.33 1.08 0.81 0.62 0.54 0.58 0.71 0.86 0.96 0.98 0.95 0.95 1.04 1.25 1.52 1.78 1.95 1.99 1.94 1.88 1.88 1.98 2.14 2.28 2.33 2.26 2.07 1.82 1.57 1.35 1.16 0.98 0.77 0.51 0.21 0.00 0.00 0.00 0.00 0.00 0.00 25.0 + 27.5 0.02 0.15 0.21 0.26 0.37 0.58 0.86 1.10 1.19 1.11 0.90 0.67 0.56 0.61 0.77 0.93 1.00 0.94 0.80 0.65 0.58 0.62 0.74 0.89 1.02 1.13 1.21 1.29 1.35 1.40 1.41 1.35 1.22 1.04 0.83 0.66 0.55 0.56 0.66 0.83 0.99 1.11 1.18 1.27 1.42 1.67 2.01 2.35 2.61 2.73 2.70 2.61 2.54 2.53 2.58 2.63 2.61 2.46 2.18 1.82 1.47 1.18 0.97 0.82 0.67 0.46 0.20 0.00 0.00 0.00 0.00 0.00 0.02 0.15 0.21 0.26 0.37 0.58 0.86 1.10 1.19 1.11 0.90 0.67 0.56 0.61 0.77 0.93 1.00 0.94 0.80 0.65 0.58 0.62 0.74 0.89 1.02 1.13 1.21 1.29 1.35 1.40 1.41 1.35 1.22 1.04 0.83 0.66 0.55 0.56 0.66 0.83 0.99 1.11 1.18 1.27 1.42 1.67 2.01 2.35 2.61 2.73 2.70 2.61 2.54 2.53 2.58 2.63 2.61 2.46 2.18 1.82 1.47 1.18 0.97 0.82 0.67 0.46 0.20 0.00 0.00 0.00 0.00 0.00 0.02 27.5 + 30.0 0.17 0.32 0.37 0.38 0.44 0.61 0.86 1.10 1.23 1.19 1.00 0.78 0.65 0.67 0.80 0.96 1.04 1.00 0.86 0.71 0.61 0.59 0.65 0.74 0.83 0.90 0.94 0.98 1.01 1.03 1.04 1.04 1.01 0.94 0.84 0.72 0.63 0.62 0.71 0.89 1.11 1.33 1.52 1.70 1.94 2.27 2.70 3.15 3.54 3.76 3.80 3.69 3.52 3.37 3.27 3.18 3.04 2.78 2.40 1.94 1.49 1.14 0.91 0.77 0.67 0.51 0.27 0.00 0.00 0.00 0.00 0.00 0.17 0.32 0.37 0.38 0.44 0.61 0.86 1.10 1.23 1.19 1.00 0.78 0.65 0.67 0.80 0.96 1.04 1.00 0.86 0.71 0.61 0.59 0.65 0.74 0.83 0.90 0.94 0.98 1.01 1.03 1.04 1.04 1.01 0.94 0.84 0.72 0.63 0.62 0.71 0.89 1.11 1.33 1.52 1.70 1.94 2.27 2.70 3.15 3.54 3.76 3.80 3.69 3.52 3.37 3.27 3.18 3.04 2.78 2.40 1.94 1.49 1.14 0.91 0.77 0.67 0.51 0.27 0.00 0.00 0.00 0.00 0.00 0.17 30.0 + 32.5 0.35 0.50 0.52 0.48 0.47 0.56 0.77 1.00 1.15 1.14 0.98 0.77 0.63 0.63 0.74 0.90 0.99 0.98 0.86 0.71 0.57 0.50 0.50 0.52 0.56 0.59 0.60 0.61 0.61 0.62 0.65 0.71 0.78 0.84 0.86 0.84 0.79 0.77 0.84 1.02 1.29 1.58 1.86 2.13 2.43 2.82 3.33 3.90 4.41 4.76 4.87 4.77 4.52 4.24 3.98 3.75 3.49 3.14 2.67 2.13 1.62 1.22 0.98 0.86 0.77 0.64 0.42 0.14 0.00 0.00 0.00 0.12 0.35 0.50 0.52 0.48 0.47 0.56 0.77 1.00 1.15 1.14 0.98 0.77 0.63 0.63 0.74 0.90 0.99 0.98 0.86 0.71 0.57 0.50 0.50 0.52 0.56 0.59 0.60 0.61 0.61 0.62 0.65 0.71 0.78 0.84 0.86 0.84 0.79 0.77 0.84 1.02 1.29 1.58 1.86 2.13 2.43 2.82 3.33 3.90 4.41 4.76 4.87 4.77 4.52 4.24 3.98 3.75 3.49 3.14 2.67 2.13 1.62 1.22 0.98 0.86 0.77 0.64 0.42 0.14 0.00 0.00 0.00 0.12 0.35 32.5 + 35.0 0.50 0.63 0.62 0.53 0.45 0.48 0.63 0.84 1.00 1.02 0.89 0.69 0.54 0.51 0.60 0.75 0.87 0.88 0.80 0.65 0.50 0.38 0.32 0.30 0.30 0.31 0.32 0.31 0.31 0.31 0.37 0.48 0.64 0.81 0.94 0.99 0.98 0.95 1.00 1.16 1.42 1.75 2.06 2.36 2.69 3.09 3.63 4.26 4.87 5.33 5.52 5.45 5.16 4.80 4.43 4.10 3.77 3.36 2.87 2.31 1.78 1.38 1.14 1.04 0.98 0.86 0.63 0.35 0.10 0.00 0.07 0.27 0.50 0.63 0.62 0.53 0.45 0.48 0.63 0.84 1.00 1.02 0.89 0.69 0.54 0.51 0.60 0.75 0.87 0.88 0.80 0.65 0.50 0.38 0.32 0.30 0.30 0.31 0.32 0.31 0.31 0.31 0.37 0.48 0.64 0.81 0.94 0.99 0.98 0.95 1.00 1.16 1.42 1.75 2.06 2.36 2.69 3.09 3.63 4.26 4.87 5.33 5.52 5.45 5.16 4.80 4.43 4.10 3.77 3.36 2.87 2.31 1.78 1.38 1.14 1.04 0.98 0.86 0.63 0.35 0.10 0.00 0.07 0.27 0.50 35.0 + 37.5 0.57 0.68 0.65 0.52 0.39 0.38 0.50 0.70 0.87 0.91 0.80 0.60 0.43 0.37 0.43 0.58 0.71 0.76 0.71 0.58 0.42 0.28 0.19 0.15 0.15 0.17 0.20 0.21 0.21 0.22 0.29 0.42 0.63 0.86 1.05 1.14 1.13 1.09 1.09 1.21 1.44 1.74 2.04 2.31 2.59 2.94 3.43 4.05 4.69 5.21 5.47 5.44 5.17 4.78 4.38 4.03 3.70 3.32 2.87 2.37 1.89 1.53 1.32 1.25 1.22 1.11 0.90 0.60 0.33 0.18 0.21 0.38 0.57 0.68 0.65 0.52 0.39 0.38 0.50 0.70 0.87 0.91 0.80 0.60 0.43 0.37 0.43 0.58 0.71 0.76 0.71 0.58 0.42 0.28 0.19 0.15 0.15 0.17 0.20 0.21 0.21 0.22 0.29 0.42 0.63 0.86 1.05 1.14 1.13 1.09 1.09 1.21 1.44 1.74 2.04 2.31 2.59 2.94 3.43 4.05 4.69 5.21 5.47 5.44 5.17 4.78 4.38 4.03 3.70 3.32 2.87 2.37 1.89 1.53 1.32 1.25 1.22 1.11 0.90 0.60 0.33 0.18 0.21 0.38 0.57 37.5 + 40.0 0.60 0.68 0.63 0.49 0.36 0.33 0.43 0.63 0.81 0.87 0.77 0.56 0.36 0.26 0.29 0.42 0.58 0.67 0.65 0.54 0.38 0.24 0.15 0.12 0.15 0.21 0.27 0.30 0.32 0.33 0.39 0.52 0.71 0.94 1.12 1.21 1.18 1.11 1.07 1.13 1.32 1.56 1.79 1.98 2.15 2.38 2.76 3.30 3.90 4.42 4.71 4.72 4.50 4.14 3.79 3.49 3.24 2.96 2.62 2.23 1.85 1.56 1.42 1.40 1.41 1.34 1.15 0.86 0.56 0.37 0.35 0.46 0.60 0.68 0.63 0.49 0.36 0.33 0.43 0.63 0.81 0.87 0.77 0.56 0.36 0.26 0.29 0.42 0.58 0.67 0.65 0.54 0.38 0.24 0.15 0.12 0.15 0.21 0.27 0.30 0.32 0.33 0.39 0.52 0.71 0.94 1.12 1.21 1.18 1.11 1.07 1.13 1.32 1.56 1.79 1.98 2.15 2.38 2.76 3.30 3.90 4.42 4.71 4.72 4.50 4.14 3.79 3.49 3.24 2.96 2.62 2.23 1.85 1.56 1.42 1.40 1.41 1.34 1.15 0.86 0.56 0.37 0.35 0.46 0.60 40.0 + 42.5 0.64 0.70 0.65 0.52 0.39 0.37 0.47 0.67 0.86 0.93 0.83 0.60 0.36 0.21 0.21 0.34 0.51 0.63 0.64 0.55 0.41 0.28 0.21 0.22 0.28 0.38 0.46 0.51 0.53 0.53 0.57 0.66 0.81 0.98 1.11 1.14 1.08 0.98 0.91 0.94 1.08 1.26 1.40 1.48 1.51 1.61 1.84 2.24 2.75 3.22 3.50 3.54 3.36 3.08 2.80 2.60 2.47 2.33 2.14 1.88 1.61 1.42 1.36 1.40 1.47 1.47 1.33 1.07 0.78 0.56 0.49 0.54 0.64 0.70 0.65 0.52 0.39 0.37 0.47 0.67 0.86 0.93 0.83 0.60 0.36 0.21 0.21 0.34 0.51 0.63 0.64 0.55 0.41 0.28 0.21 0.22 0.28 0.38 0.46 0.51 0.53 0.53 0.57 0.66 0.81 0.98 1.11 1.14 1.08 0.98 0.91 0.94 1.08 1.26 1.40 1.48 1.51 1.61 1.84 2.24 2.75 3.22 3.50 3.54 3.36 3.08 2.80 2.60 2.47 2.33 2.14 1.88 1.61 1.42 1.36 1.40 1.47 1.47 1.33 1.07 0.78 0.56 0.49 0.54 0.64 42.5 + 45.0 0.74 0.79 0.76 0.66 0.55 0.53 0.64 0.84 1.02 1.09 0.98 0.73 0.45 0.26 0.22 0.33 0.51 0.65 0.69 0.62 0.49 0.39 0.35 0.39 0.49 0.59 0.67 0.70 0.69 0.68 0.68 0.74 0.83 0.93 0.97 0.94 0.85 0.74 0.68 0.71 0.82 0.94 1.01 0.98 0.90 0.85 0.94 1.21 1.60 1.98 2.23 2.27 2.13 1.90 1.70 1.60 1.58 1.58 1.52 1.39 1.23 1.12 1.12 1.22 1.36 1.43 1.38 1.19 0.95 0.74 0.64 0.66 0.74 0.79 0.76 0.66 0.55 0.53 0.64 0.84 1.02 1.09 0.98 0.73 0.45 0.26 0.22 0.33 0.51 0.65 0.69 0.62 0.49 0.39 0.35 0.39 0.49 0.59 0.67 0.70 0.69 0.68 0.68 0.74 0.83 0.93 0.97 0.94 0.85 0.74 0.68 0.71 0.82 0.94 1.01 0.98 0.90 0.85 0.94 1.21 1.60 1.98 2.23 2.27 2.13 1.90 1.70 1.60 1.58 1.58 1.52 1.39 1.23 1.12 1.12 1.22 1.36 1.43 1.38 1.19 0.95 0.74 0.64 0.66 0.74 45.0 + 47.5 0.90 0.98 0.98 0.92 0.85 0.84 0.94 1.13 1.30 1.36 1.24 0.97 0.66 0.42 0.35 0.43 0.59 0.72 0.76 0.69 0.58 0.50 0.50 0.57 0.67 0.76 0.80 0.78 0.73 0.68 0.67 0.70 0.75 0.77 0.76 0.68 0.57 0.48 0.46 0.52 0.63 0.72 0.72 0.62 0.45 0.32 0.30 0.46 0.74 1.03 1.22 1.23 1.10 0.91 0.76 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.77 0.90 1.09 1.24 1.28 1.19 1.02 0.86 0.78 0.81 0.90 0.98 0.98 0.92 0.85 0.84 0.94 1.13 1.30 1.36 1.24 0.97 0.66 0.42 0.35 0.43 0.59 0.72 0.76 0.69 0.58 0.50 0.50 0.57 0.67 0.76 0.80 0.78 0.73 0.68 0.67 0.70 0.75 0.77 0.76 0.68 0.57 0.48 0.46 0.52 0.63 0.72 0.72 0.62 0.45 0.32 0.30 0.46 0.74 1.03 1.22 1.23 1.10 0.91 0.76 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.77 0.90 1.09 1.24 1.28 1.19 1.02 0.86 0.78 0.81 0.90 47.5 + 50.0 1.06 1.19 1.26 1.26 1.23 1.24 1.35 1.52 1.69 1.74 1.62 1.35 1.02 0.75 0.62 0.65 0.75 0.83 0.84 0.76 0.65 0.59 0.61 0.70 0.80 0.85 0.82 0.73 0.63 0.55 0.54 0.56 0.59 0.58 0.52 0.43 0.33 0.29 0.31 0.41 0.53 0.61 0.58 0.45 0.24 0.06 0.00 0.08 0.27 0.49 0.61 0.60 0.45 0.27 0.14 0.12 0.22 0.36 0.46 0.47 0.42 0.37 0.40 0.53 0.73 0.93 1.04 1.05 0.97 0.88 0.86 0.93 1.06 1.19 1.26 1.26 1.23 1.24 1.35 1.52 1.69 1.74 1.62 1.35 1.02 0.75 0.62 0.65 0.75 0.83 0.84 0.76 0.65 0.59 0.61 0.70 0.80 0.85 0.82 0.73 0.63 0.55 0.54 0.56 0.59 0.58 0.52 0.43 0.33 0.29 0.31 0.41 0.53 0.61 0.58 0.45 0.24 0.06 0.00 0.08 0.27 0.49 0.61 0.60 0.45 0.27 0.14 0.12 0.22 0.36 0.46 0.47 0.42 0.37 0.40 0.53 0.73 0.93 1.04 1.05 0.97 0.88 0.86 0.93 1.06 50.0 + 52.5 1.13 1.34 1.49 1.57 1.61 1.68 1.80 1.98 2.16 2.22 2.13 1.87 1.54 1.25 1.06 1.00 1.01 1.01 0.95 0.82 0.70 0.65 0.69 0.79 0.87 0.88 0.78 0.63 0.48 0.39 0.37 0.40 0.43 0.42 0.35 0.26 0.20 0.19 0.26 0.38 0.50 0.57 0.54 0.40 0.21 0.03 0.00 0.00 0.12 0.28 0.37 0.33 0.17 0.00 0.00 0.00 0.00 0.07 0.19 0.23 0.19 0.13 0.12 0.21 0.38 0.57 0.72 0.79 0.78 0.77 0.81 0.94 1.13 1.34 1.49 1.57 1.61 1.68 1.80 1.98 2.16 2.22 2.13 1.87 1.54 1.25 1.06 1.00 1.01 1.01 0.95 0.82 0.70 0.65 0.69 0.79 0.87 0.88 0.78 0.63 0.48 0.39 0.37 0.40 0.43 0.42 0.35 0.26 0.20 0.19 0.26 0.38 0.50 0.57 0.54 0.40 0.21 0.03 0.00 0.00 0.12 0.28 0.37 0.33 0.17 0.00 0.00 0.00 0.00 0.07 0.19 0.23 0.19 0.13 0.12 0.21 0.38 0.57 0.72 0.79 0.78 0.77 0.81 0.94 1.13 52.5 + 55.0 1.05 1.33 1.58 1.77 1.90 2.04 2.22 2.44 2.64 2.75 2.71 2.51 2.21 1.91 1.67 1.52 1.42 1.30 1.15 0.96 0.81 0.75 0.79 0.88 0.94 0.91 0.77 0.57 0.39 0.28 0.27 0.30 0.34 0.33 0.28 0.20 0.16 0.18 0.26 0.37 0.48 0.54 0.51 0.40 0.24 0.09 0.01 0.02 0.12 0.24 0.30 0.27 0.13 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.11 0.03 0.00 0.00 0.08 0.23 0.37 0.46 0.50 0.53 0.62 0.80 1.05 1.33 1.58 1.77 1.90 2.04 2.22 2.44 2.64 2.75 2.71 2.51 2.21 1.91 1.67 1.52 1.42 1.30 1.15 0.96 0.81 0.75 0.79 0.88 0.94 0.91 0.77 0.57 0.39 0.28 0.27 0.30 0.34 0.33 0.28 0.20 0.16 0.18 0.26 0.37 0.48 0.54 0.51 0.40 0.24 0.09 0.01 0.02 0.12 0.24 0.30 0.27 0.13 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.11 0.03 0.00 0.00 0.08 0.23 0.37 0.46 0.50 0.53 0.62 0.80 1.05 55.0 + 57.5 0.82 1.17 1.50 1.79 2.03 2.26 2.51 2.78 3.04 3.22 3.26 3.15 2.92 2.65 2.40 2.18 1.97 1.75 1.50 1.25 1.05 0.96 0.97 1.03 1.07 1.01 0.84 0.63 0.43 0.31 0.28 0.31 0.34 0.33 0.28 0.22 0.19 0.20 0.26 0.34 0.41 0.44 0.42 0.35 0.24 0.12 0.05 0.04 0.10 0.19 0.26 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.12 0.01 0.00 0.00 0.00 0.00 0.06 0.13 0.17 0.22 0.32 0.53 0.82 1.17 1.50 1.79 2.03 2.26 2.51 2.78 3.04 3.22 3.26 3.15 2.92 2.65 2.40 2.18 1.97 1.75 1.50 1.25 1.05 0.96 0.97 1.03 1.07 1.01 0.84 0.63 0.43 0.31 0.28 0.31 0.34 0.33 0.28 0.22 0.19 0.20 0.26 0.34 0.41 0.44 0.42 0.35 0.24 0.12 0.05 0.04 0.10 0.19 0.26 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.12 0.01 0.00 0.00 0.00 0.00 0.06 0.13 0.17 0.22 0.32 0.53 0.82 57.5 + 60.0 0.54 0.91 1.30 1.66 1.99 2.30 2.61 2.94 3.26 3.51 3.64 3.64 3.52 3.33 3.12 2.88 2.63 2.34 2.03 1.72 1.47 1.33 1.28 1.29 1.28 1.19 1.01 0.80 0.60 0.47 0.41 0.41 0.40 0.38 0.33 0.27 0.23 0.22 0.23 0.24 0.26 0.27 0.26 0.23 0.16 0.08 0.00 0.00 0.00 0.06 0.15 0.19 0.15 0.03 0.00 0.00 0.00 0.00 0.04 0.12 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.54 0.91 1.30 1.66 1.99 2.30 2.61 2.94 3.26 3.51 3.64 3.64 3.52 3.33 3.12 2.88 2.63 2.34 2.03 1.72 1.47 1.33 1.28 1.29 1.28 1.19 1.01 0.80 0.60 0.47 0.41 0.41 0.40 0.38 0.33 0.27 0.23 0.22 0.23 0.24 0.26 0.27 0.26 0.23 0.16 0.08 0.00 0.00 0.00 0.06 0.15 0.19 0.15 0.03 0.00 0.00 0.00 0.00 0.04 0.12 0.12 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.54 60.0 + 62.5 0.31 0.68 1.07 1.46 1.82 2.17 2.52 2.87 3.22 3.52 3.74 3.86 3.87 3.81 3.68 3.51 3.28 2.99 2.66 2.33 2.04 1.83 1.71 1.64 1.56 1.43 1.25 1.04 0.84 0.70 0.61 0.55 0.50 0.43 0.36 0.29 0.24 0.19 0.15 0.12 0.08 0.07 0.07 0.07 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.31 0.68 1.07 1.46 1.82 2.17 2.52 2.87 3.22 3.52 3.74 3.86 3.87 3.81 3.68 3.51 3.28 2.99 2.66 2.33 2.04 1.83 1.71 1.64 1.56 1.43 1.25 1.04 0.84 0.70 0.61 0.55 0.50 0.43 0.36 0.29 0.24 0.19 0.15 0.12 0.08 0.07 0.07 0.07 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.31 62.5 + 65.0 0.26 0.58 0.94 1.29 1.62 1.94 2.27 2.60 2.94 3.25 3.52 3.73 3.88 3.96 3.97 3.91 3.77 3.55 3.27 2.96 2.65 2.39 2.19 2.03 1.87 1.70 1.50 1.30 1.11 0.95 0.82 0.70 0.59 0.47 0.36 0.27 0.19 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.58 0.94 1.29 1.62 1.94 2.27 2.60 2.94 3.25 3.52 3.73 3.88 3.96 3.97 3.91 3.77 3.55 3.27 2.96 2.65 2.39 2.19 2.03 1.87 1.70 1.50 1.30 1.11 0.95 0.82 0.70 0.59 0.47 0.36 0.27 0.19 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 65.0 + 67.5 0.41 0.68 0.96 1.22 1.47 1.71 1.95 2.21 2.48 2.76 3.04 3.30 3.55 3.75 3.91 3.99 3.98 3.88 3.70 3.45 3.17 2.89 2.62 2.38 2.16 1.95 1.74 1.55 1.37 1.20 1.04 0.86 0.67 0.49 0.33 0.20 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.18 0.41 0.68 0.96 1.22 1.47 1.71 1.95 2.21 2.48 2.76 3.04 3.30 3.55 3.75 3.91 3.99 3.98 3.88 3.70 3.45 3.17 2.89 2.62 2.38 2.16 1.95 1.74 1.55 1.37 1.20 1.04 0.86 0.67 0.49 0.33 0.20 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.18 0.41 67.5 + 70.0 0.72 0.93 1.13 1.28 1.41 1.53 1.65 1.80 1.97 2.18 2.42 2.69 2.98 3.26 3.52 3.73 3.85 3.88 3.82 3.67 3.46 3.20 2.92 2.64 2.38 2.15 1.95 1.78 1.62 1.46 1.27 1.04 0.79 0.53 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.20 0.33 0.51 0.72 0.93 1.13 1.28 1.41 1.53 1.65 1.80 1.97 2.18 2.42 2.69 2.98 3.26 3.52 3.73 3.85 3.88 3.82 3.67 3.46 3.20 2.92 2.64 2.38 2.15 1.95 1.78 1.62 1.46 1.27 1.04 0.79 0.53 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.20 0.33 0.51 0.72 70.0 + 72.5 1.08 1.25 1.37 1.42 1.43 1.41 1.40 1.43 1.49 1.62 1.80 2.04 2.32 2.63 2.92 3.19 3.39 3.53 3.59 3.57 3.45 3.25 3.01 2.74 2.50 2.29 2.13 2.00 1.88 1.73 1.53 1.26 0.95 0.63 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.00 0.03 0.09 0.19 0.29 0.40 0.53 0.69 0.88 1.08 1.25 1.37 1.42 1.43 1.41 1.40 1.43 1.49 1.62 1.80 2.04 2.32 2.63 2.92 3.19 3.39 3.53 3.59 3.57 3.45 3.25 3.01 2.74 2.50 2.29 2.13 2.00 1.88 1.73 1.53 1.26 0.95 0.63 0.34 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.27 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.00 0.03 0.09 0.19 0.29 0.40 0.53 0.69 0.88 1.08 72.5 + 75.0 1.37 1.52 1.58 1.56 1.47 1.34 1.22 1.13 1.11 1.17 1.30 1.49 1.73 1.99 2.24 2.49 2.71 2.92 3.07 3.16 3.15 3.04 2.87 2.66 2.47 2.33 2.25 2.19 2.12 2.00 1.80 1.51 1.17 0.81 0.48 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.43 0.52 0.46 0.29 0.08 0.00 0.00 0.00 0.11 0.21 0.25 0.23 0.21 0.23 0.30 0.41 0.54 0.67 0.82 0.99 1.19 1.37 1.52 1.58 1.56 1.47 1.34 1.22 1.13 1.11 1.17 1.30 1.49 1.73 1.99 2.24 2.49 2.71 2.92 3.07 3.16 3.15 3.04 2.87 2.66 2.47 2.33 2.25 2.19 2.12 2.00 1.80 1.51 1.17 0.81 0.48 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.43 0.52 0.46 0.29 0.08 0.00 0.00 0.00 0.11 0.21 0.25 0.23 0.21 0.23 0.30 0.41 0.54 0.67 0.82 0.99 1.19 1.37 75.0 + 77.5 1.54 1.66 1.70 1.63 1.48 1.28 1.07 0.91 0.83 0.85 0.95 1.11 1.29 1.46 1.60 1.76 1.94 2.15 2.37 2.55 2.64 2.62 2.51 2.38 2.27 2.24 2.26 2.29 2.29 2.21 2.02 1.75 1.41 1.07 0.75 0.49 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.29 0.50 0.68 0.76 0.69 0.50 0.28 0.15 0.15 0.26 0.41 0.51 0.52 0.47 0.41 0.40 0.47 0.59 0.74 0.88 1.03 1.20 1.37 1.54 1.66 1.70 1.63 1.48 1.28 1.07 0.91 0.83 0.85 0.95 1.11 1.29 1.46 1.60 1.76 1.94 2.15 2.37 2.55 2.64 2.62 2.51 2.38 2.27 2.24 2.26 2.29 2.29 2.21 2.02 1.75 1.41 1.07 0.75 0.49 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.29 0.50 0.68 0.76 0.69 0.50 0.28 0.15 0.15 0.26 0.41 0.51 0.52 0.47 0.41 0.40 0.47 0.59 0.74 0.88 1.03 1.20 1.37 1.54 77.5 + 80.0 1.56 1.66 1.69 1.62 1.44 1.19 0.93 0.72 0.62 0.64 0.75 0.90 1.02 1.08 1.09 1.10 1.19 1.37 1.62 1.86 2.02 2.07 2.01 1.94 1.92 1.98 2.11 2.25 2.32 2.28 2.13 1.89 1.63 1.37 1.13 0.91 0.69 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.21 0.40 0.64 0.84 0.92 0.84 0.62 0.40 0.29 0.33 0.49 0.68 0.78 0.76 0.65 0.53 0.49 0.55 0.69 0.86 1.02 1.16 1.29 1.42 1.56 1.66 1.69 1.62 1.44 1.19 0.93 0.72 0.62 0.64 0.75 0.90 1.02 1.08 1.09 1.10 1.19 1.37 1.62 1.86 2.02 2.07 2.01 1.94 1.92 1.98 2.11 2.25 2.32 2.28 2.13 1.89 1.63 1.37 1.13 0.91 0.69 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.21 0.40 0.64 0.84 0.92 0.84 0.62 0.40 0.29 0.33 0.49 0.68 0.78 0.76 0.65 0.53 0.49 0.55 0.69 0.86 1.02 1.16 1.29 1.42 1.56 80.0 + 82.5 1.48 1.57 1.60 1.53 1.35 1.08 0.78 0.55 0.45 0.49 0.65 0.81 0.89 0.85 0.72 0.60 0.58 0.71 0.96 1.24 1.43 1.50 1.46 1.41 1.44 1.58 1.80 2.02 2.15 2.15 2.05 1.89 1.74 1.63 1.54 1.43 1.24 0.95 0.57 0.19 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.10 0.20 0.40 0.65 0.87 0.95 0.85 0.62 0.40 0.30 0.39 0.61 0.84 0.95 0.89 0.72 0.55 0.47 0.53 0.70 0.90 1.08 1.21 1.30 1.39 1.48 1.57 1.60 1.53 1.35 1.08 0.78 0.55 0.45 0.49 0.65 0.81 0.89 0.85 0.72 0.60 0.58 0.71 0.96 1.24 1.43 1.50 1.46 1.41 1.44 1.58 1.80 2.02 2.15 2.15 2.05 1.89 1.74 1.63 1.54 1.43 1.24 0.95 0.57 0.19 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.10 0.20 0.40 0.65 0.87 0.95 0.85 0.62 0.40 0.30 0.39 0.61 0.84 0.95 0.89 0.72 0.55 0.47 0.53 0.70 0.90 1.08 1.21 1.30 1.39 1.48 82.5 + 85.0 1.36 1.43 1.47 1.42 1.25 0.97 0.66 0.41 0.31 0.40 0.59 0.79 0.86 0.75 0.51 0.27 0.15 0.24 0.49 0.77 0.97 1.02 0.96 0.89 0.93 1.11 1.38 1.64 1.80 1.82 1.76 1.68 1.68 1.76 1.88 1.93 1.82 1.52 1.07 0.58 0.18 0.00 0.00 0.00 0.09 0.13 0.11 0.08 0.14 0.31 0.57 0.79 0.87 0.75 0.50 0.27 0.20 0.34 0.61 0.88 1.01 0.93 0.72 0.49 0.38 0.45 0.65 0.89 1.10 1.22 1.28 1.31 1.36 1.43 1.47 1.42 1.25 0.97 0.66 0.41 0.31 0.40 0.59 0.79 0.86 0.75 0.51 0.27 0.15 0.24 0.49 0.77 0.97 1.02 0.96 0.89 0.93 1.11 1.38 1.64 1.80 1.82 1.76 1.68 1.68 1.76 1.88 1.93 1.82 1.52 1.07 0.58 0.18 0.00 0.00 0.00 0.09 0.13 0.11 0.08 0.14 0.31 0.57 0.79 0.87 0.75 0.50 0.27 0.20 0.34 0.61 0.88 1.01 0.93 0.72 0.49 0.38 0.45 0.65 0.89 1.10 1.22 1.28 1.31 1.36 85.0 + 87.5 1.26 1.31 1.35 1.32 1.16 0.89 0.57 0.32 0.23 0.34 0.58 0.81 0.88 0.73 0.43 0.11 0.00 0.00 0.24 0.53 0.71 0.72 0.61 0.50 0.49 0.65 0.92 1.17 1.32 1.34 1.30 1.31 1.44 1.71 2.02 2.25 2.26 2.01 1.56 1.04 0.59 0.33 0.27 0.32 0.38 0.36 0.25 0.13 0.11 0.24 0.47 0.67 0.73 0.59 0.33 0.10 0.04 0.22 0.54 0.85 0.99 0.90 0.66 0.40 0.28 0.35 0.58 0.87 1.10 1.23 1.26 1.25 1.26 1.31 1.35 1.32 1.16 0.89 0.57 0.32 0.23 0.34 0.58 0.81 0.88 0.73 0.43 0.11 0.00 0.00 0.24 0.53 0.71 0.72 0.61 0.50 0.49 0.65 0.92 1.17 1.32 1.34 1.30 1.31 1.44 1.71 2.02 2.25 2.26 2.01 1.56 1.04 0.59 0.33 0.27 0.32 0.38 0.36 0.25 0.13 0.11 0.24 0.47 0.67 0.73 0.59 0.33 0.10 0.04 0.22 0.54 0.85 0.99 0.90 0.66 0.40 0.28 0.35 0.58 0.87 1.10 1.23 1.26 1.25 1.26 87.5 + 90.0 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 90.0 + + 25.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.30 ) PHI2 = 25. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.0 + 2.5 0.39 0.36 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.83 1.59 1.35 1.13 0.91 0.71 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.33 0.36 0.38 0.43 0.54 0.72 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.06 0.85 0.65 0.49 0.39 0.36 0.36 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.16 2.24 2.19 2.04 1.83 1.59 1.35 1.13 0.91 0.71 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.33 0.36 0.38 0.43 0.54 0.72 0.92 1.14 1.37 1.61 1.86 2.09 2.25 2.30 2.22 2.03 1.79 1.53 1.29 1.06 0.85 0.65 0.49 0.39 2.5 + 5.0 0.28 0.28 0.33 0.37 0.35 0.25 0.07 0.00 0.00 0.00 0.05 0.25 0.42 0.50 0.48 0.42 0.38 0.41 0.51 0.67 0.88 1.12 1.38 1.65 1.91 2.12 2.23 2.23 2.11 1.90 1.66 1.40 1.15 0.92 0.72 0.59 0.51 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.37 0.38 0.40 0.46 0.59 0.78 0.99 1.23 1.48 1.76 2.03 2.28 2.43 2.44 2.31 2.06 1.75 1.44 1.16 0.91 0.70 0.51 0.36 0.28 0.28 0.33 0.37 0.35 0.25 0.07 0.00 0.00 0.00 0.05 0.25 0.42 0.50 0.48 0.42 0.38 0.41 0.51 0.67 0.88 1.12 1.38 1.65 1.91 2.12 2.23 2.23 2.11 1.90 1.66 1.40 1.15 0.92 0.72 0.59 0.51 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.30 0.37 0.38 0.40 0.46 0.59 0.78 0.99 1.23 1.48 1.76 2.03 2.28 2.43 2.44 2.31 2.06 1.75 1.44 1.16 0.91 0.70 0.51 0.36 0.28 5.0 + 7.5 0.18 0.21 0.30 0.40 0.46 0.43 0.33 0.20 0.12 0.14 0.26 0.43 0.57 0.63 0.59 0.48 0.37 0.32 0.36 0.49 0.69 0.94 1.22 1.50 1.78 2.01 2.17 2.21 2.14 1.96 1.71 1.43 1.15 0.91 0.74 0.64 0.62 0.64 0.66 0.62 0.50 0.32 0.12 0.00 0.00 0.10 0.26 0.42 0.51 0.54 0.54 0.56 0.63 0.77 0.95 1.17 1.40 1.67 1.96 2.26 2.50 2.63 2.59 2.38 2.05 1.67 1.30 0.98 0.73 0.52 0.35 0.23 0.18 0.21 0.30 0.40 0.46 0.43 0.33 0.20 0.12 0.14 0.26 0.43 0.57 0.63 0.59 0.48 0.37 0.32 0.36 0.49 0.69 0.94 1.22 1.50 1.78 2.01 2.17 2.21 2.14 1.96 1.71 1.43 1.15 0.91 0.74 0.64 0.62 0.64 0.66 0.62 0.50 0.32 0.12 0.00 0.00 0.10 0.26 0.42 0.51 0.54 0.54 0.56 0.63 0.77 0.95 1.17 1.40 1.67 1.96 2.26 2.50 2.63 2.59 2.38 2.05 1.67 1.30 0.98 0.73 0.52 0.35 0.23 0.18 7.5 + 10.0 0.13 0.17 0.29 0.43 0.54 0.58 0.53 0.43 0.33 0.31 0.38 0.52 0.66 0.73 0.69 0.56 0.40 0.29 0.27 0.37 0.55 0.80 1.06 1.34 1.60 1.84 2.02 2.11 2.08 1.94 1.70 1.41 1.12 0.89 0.74 0.71 0.75 0.83 0.88 0.85 0.73 0.57 0.42 0.36 0.41 0.55 0.72 0.85 0.90 0.89 0.87 0.89 0.97 1.11 1.28 1.46 1.66 1.90 2.18 2.45 2.67 2.75 2.64 2.36 1.96 1.52 1.11 0.79 0.54 0.37 0.24 0.15 0.13 0.17 0.29 0.43 0.54 0.58 0.53 0.43 0.33 0.31 0.38 0.52 0.66 0.73 0.69 0.56 0.40 0.29 0.27 0.37 0.55 0.80 1.06 1.34 1.60 1.84 2.02 2.11 2.08 1.94 1.70 1.41 1.12 0.89 0.74 0.71 0.75 0.83 0.88 0.85 0.73 0.57 0.42 0.36 0.41 0.55 0.72 0.85 0.90 0.89 0.87 0.89 0.97 1.11 1.28 1.46 1.66 1.90 2.18 2.45 2.67 2.75 2.64 2.36 1.96 1.52 1.11 0.79 0.54 0.37 0.24 0.15 0.13 10.0 + 12.5 0.13 0.18 0.29 0.43 0.57 0.64 0.63 0.54 0.42 0.35 0.38 0.49 0.64 0.75 0.75 0.64 0.47 0.33 0.27 0.33 0.49 0.71 0.95 1.19 1.41 1.63 1.81 1.94 1.96 1.86 1.65 1.36 1.07 0.85 0.74 0.76 0.88 1.01 1.10 1.09 0.98 0.84 0.73 0.73 0.85 1.04 1.22 1.33 1.36 1.32 1.30 1.32 1.41 1.54 1.68 1.81 1.95 2.13 2.34 2.56 2.71 2.72 2.55 2.20 1.76 1.29 0.89 0.59 0.39 0.27 0.19 0.14 0.13 0.18 0.29 0.43 0.57 0.64 0.63 0.54 0.42 0.35 0.38 0.49 0.64 0.75 0.75 0.64 0.47 0.33 0.27 0.33 0.49 0.71 0.95 1.19 1.41 1.63 1.81 1.94 1.96 1.86 1.65 1.36 1.07 0.85 0.74 0.76 0.88 1.01 1.10 1.09 0.98 0.84 0.73 0.73 0.85 1.04 1.22 1.33 1.36 1.32 1.30 1.32 1.41 1.54 1.68 1.81 1.95 2.13 2.34 2.56 2.71 2.72 2.55 2.20 1.76 1.29 0.89 0.59 0.39 0.27 0.19 0.14 0.13 12.5 + 15.0 0.17 0.20 0.28 0.41 0.55 0.64 0.65 0.57 0.42 0.31 0.28 0.37 0.54 0.70 0.76 0.71 0.56 0.41 0.33 0.36 0.50 0.69 0.89 1.08 1.25 1.43 1.61 1.76 1.82 1.77 1.59 1.32 1.03 0.82 0.73 0.79 0.95 1.14 1.26 1.26 1.17 1.04 0.96 1.01 1.18 1.41 1.61 1.71 1.72 1.67 1.65 1.68 1.79 1.92 2.03 2.12 2.19 2.28 2.40 2.53 2.59 2.52 2.29 1.92 1.46 1.02 0.65 0.39 0.25 0.19 0.17 0.16 0.17 0.20 0.28 0.41 0.55 0.64 0.65 0.57 0.42 0.31 0.28 0.37 0.54 0.70 0.76 0.71 0.56 0.41 0.33 0.36 0.50 0.69 0.89 1.08 1.25 1.43 1.61 1.76 1.82 1.77 1.59 1.32 1.03 0.82 0.73 0.79 0.95 1.14 1.26 1.26 1.17 1.04 0.96 1.01 1.18 1.41 1.61 1.71 1.72 1.67 1.65 1.68 1.79 1.92 2.03 2.12 2.19 2.28 2.40 2.53 2.59 2.52 2.29 1.92 1.46 1.02 0.65 0.39 0.25 0.19 0.17 0.16 0.17 15.0 + 17.5 0.17 0.19 0.25 0.36 0.50 0.63 0.66 0.59 0.43 0.26 0.19 0.24 0.41 0.61 0.74 0.74 0.63 0.49 0.40 0.42 0.53 0.70 0.87 1.02 1.16 1.32 1.49 1.64 1.74 1.72 1.57 1.32 1.03 0.81 0.71 0.77 0.95 1.15 1.29 1.31 1.23 1.12 1.06 1.13 1.32 1.56 1.77 1.87 1.86 1.81 1.78 1.83 1.96 2.10 2.22 2.29 2.31 2.32 2.34 2.36 2.32 2.19 1.92 1.56 1.13 0.72 0.40 0.19 0.11 0.10 0.13 0.16 0.17 0.19 0.25 0.36 0.50 0.63 0.66 0.59 0.43 0.26 0.19 0.24 0.41 0.61 0.74 0.74 0.63 0.49 0.40 0.42 0.53 0.70 0.87 1.02 1.16 1.32 1.49 1.64 1.74 1.72 1.57 1.32 1.03 0.81 0.71 0.77 0.95 1.15 1.29 1.31 1.23 1.12 1.06 1.13 1.32 1.56 1.77 1.87 1.86 1.81 1.78 1.83 1.96 2.10 2.22 2.29 2.31 2.32 2.34 2.36 2.32 2.19 1.92 1.56 1.13 0.72 0.40 0.19 0.11 0.10 0.13 0.16 0.17 17.5 + 20.0 0.12 0.15 0.20 0.31 0.47 0.62 0.71 0.66 0.50 0.30 0.17 0.18 0.32 0.53 0.70 0.74 0.67 0.54 0.45 0.45 0.56 0.71 0.88 1.02 1.15 1.29 1.45 1.62 1.73 1.73 1.60 1.36 1.07 0.83 0.70 0.72 0.86 1.05 1.20 1.24 1.18 1.09 1.05 1.12 1.31 1.55 1.75 1.85 1.84 1.78 1.74 1.80 1.93 2.10 2.24 2.32 2.31 2.26 2.18 2.09 1.96 1.78 1.51 1.18 0.81 0.45 0.17 0.00 0.00 0.00 0.02 0.09 0.12 0.15 0.20 0.31 0.47 0.62 0.71 0.66 0.50 0.30 0.17 0.18 0.32 0.53 0.70 0.74 0.67 0.54 0.45 0.45 0.56 0.71 0.88 1.02 1.15 1.29 1.45 1.62 1.73 1.73 1.60 1.36 1.07 0.83 0.70 0.72 0.86 1.05 1.20 1.24 1.18 1.09 1.05 1.12 1.31 1.55 1.75 1.85 1.84 1.78 1.74 1.80 1.93 2.10 2.24 2.32 2.31 2.26 2.18 2.09 1.96 1.78 1.51 1.18 0.81 0.45 0.17 0.00 0.00 0.00 0.02 0.09 0.12 20.0 + 22.5 0.05 0.09 0.14 0.26 0.45 0.65 0.79 0.80 0.65 0.43 0.25 0.20 0.31 0.50 0.68 0.75 0.70 0.58 0.48 0.47 0.56 0.72 0.89 1.04 1.17 1.31 1.47 1.62 1.73 1.74 1.63 1.41 1.12 0.86 0.69 0.66 0.74 0.90 1.04 1.12 1.11 1.06 1.05 1.13 1.31 1.55 1.76 1.86 1.86 1.79 1.74 1.77 1.89 2.06 2.21 2.29 2.26 2.15 1.98 1.79 1.59 1.37 1.12 0.84 0.54 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.14 0.26 0.45 0.65 0.79 0.80 0.65 0.43 0.25 0.20 0.31 0.50 0.68 0.75 0.70 0.58 0.48 0.47 0.56 0.72 0.89 1.04 1.17 1.31 1.47 1.62 1.73 1.74 1.63 1.41 1.12 0.86 0.69 0.66 0.74 0.90 1.04 1.12 1.11 1.06 1.05 1.13 1.31 1.55 1.76 1.86 1.86 1.79 1.74 1.77 1.89 2.06 2.21 2.29 2.26 2.15 1.98 1.79 1.59 1.37 1.12 0.84 0.54 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.05 22.5 + 25.0 0.00 0.05 0.12 0.24 0.44 0.68 0.88 0.94 0.83 0.61 0.39 0.30 0.36 0.53 0.70 0.78 0.74 0.62 0.52 0.49 0.57 0.71 0.88 1.04 1.17 1.30 1.44 1.57 1.66 1.67 1.58 1.39 1.14 0.89 0.70 0.62 0.65 0.77 0.92 1.04 1.10 1.13 1.18 1.30 1.50 1.76 2.00 2.15 2.17 2.11 2.03 2.01 2.07 2.19 2.31 2.34 2.27 2.08 1.82 1.53 1.26 1.01 0.80 0.58 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.24 0.44 0.68 0.88 0.94 0.83 0.61 0.39 0.30 0.36 0.53 0.70 0.78 0.74 0.62 0.52 0.49 0.57 0.71 0.88 1.04 1.17 1.30 1.44 1.57 1.66 1.67 1.58 1.39 1.14 0.89 0.70 0.62 0.65 0.77 0.92 1.04 1.10 1.13 1.18 1.30 1.50 1.76 2.00 2.15 2.17 2.11 2.03 2.01 2.07 2.19 2.31 2.34 2.27 2.08 1.82 1.53 1.26 1.01 0.80 0.58 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 25.0 + 27.5 0.02 0.09 0.14 0.24 0.43 0.68 0.91 1.02 0.95 0.75 0.53 0.41 0.43 0.57 0.74 0.82 0.80 0.69 0.58 0.53 0.57 0.68 0.83 0.96 1.08 1.18 1.28 1.37 1.43 1.44 1.38 1.26 1.09 0.91 0.75 0.65 0.64 0.74 0.89 1.07 1.23 1.36 1.50 1.69 1.95 2.27 2.58 2.81 2.90 2.87 2.76 2.66 2.61 2.62 2.63 2.58 2.42 2.13 1.76 1.37 1.03 0.77 0.58 0.42 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.14 0.24 0.43 0.68 0.91 1.02 0.95 0.75 0.53 0.41 0.43 0.57 0.74 0.82 0.80 0.69 0.58 0.53 0.57 0.68 0.83 0.96 1.08 1.18 1.28 1.37 1.43 1.44 1.38 1.26 1.09 0.91 0.75 0.65 0.64 0.74 0.89 1.07 1.23 1.36 1.50 1.69 1.95 2.27 2.58 2.81 2.90 2.87 2.76 2.66 2.61 2.62 2.63 2.58 2.42 2.13 1.76 1.37 1.03 0.77 0.58 0.42 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.02 27.5 + 30.0 0.13 0.18 0.19 0.24 0.39 0.61 0.85 0.99 0.97 0.81 0.61 0.48 0.48 0.60 0.76 0.85 0.85 0.75 0.64 0.56 0.56 0.62 0.71 0.80 0.88 0.94 0.99 1.03 1.06 1.07 1.07 1.04 0.99 0.91 0.82 0.75 0.74 0.81 0.97 1.20 1.45 1.69 1.93 2.20 2.54 2.94 3.35 3.69 3.88 3.91 3.79 3.60 3.43 3.28 3.15 2.98 2.70 2.30 1.83 1.35 0.95 0.68 0.51 0.39 0.25 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.18 0.19 0.24 0.39 0.61 0.85 0.99 0.97 0.81 0.61 0.48 0.48 0.60 0.76 0.85 0.85 0.75 0.64 0.56 0.56 0.62 0.71 0.80 0.88 0.94 0.99 1.03 1.06 1.07 1.07 1.04 0.99 0.91 0.82 0.75 0.74 0.81 0.97 1.20 1.45 1.69 1.93 2.20 2.54 2.94 3.35 3.69 3.88 3.91 3.79 3.60 3.43 3.28 3.15 2.98 2.70 2.30 1.83 1.35 0.95 0.68 0.51 0.39 0.25 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.13 30.0 + 32.5 0.26 0.29 0.25 0.23 0.31 0.49 0.71 0.87 0.89 0.78 0.60 0.48 0.47 0.57 0.72 0.83 0.85 0.78 0.67 0.57 0.52 0.52 0.54 0.57 0.60 0.62 0.63 0.64 0.65 0.67 0.72 0.79 0.87 0.92 0.93 0.91 0.89 0.95 1.10 1.35 1.66 1.98 2.30 2.63 3.03 3.49 4.00 4.45 4.76 4.86 4.75 4.51 4.22 3.93 3.66 3.37 3.00 2.52 1.98 1.44 1.01 0.72 0.56 0.47 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.12 0.26 0.29 0.25 0.23 0.31 0.49 0.71 0.87 0.89 0.78 0.60 0.48 0.47 0.57 0.72 0.83 0.85 0.78 0.67 0.57 0.52 0.52 0.54 0.57 0.60 0.62 0.63 0.64 0.65 0.67 0.72 0.79 0.87 0.92 0.93 0.91 0.89 0.95 1.10 1.35 1.66 1.98 2.30 2.63 3.03 3.49 4.00 4.45 4.76 4.86 4.75 4.51 4.22 3.93 3.66 3.37 3.00 2.52 1.98 1.44 1.01 0.72 0.56 0.47 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.12 0.26 32.5 + 35.0 0.36 0.36 0.27 0.19 0.19 0.32 0.53 0.70 0.76 0.69 0.54 0.42 0.39 0.48 0.62 0.75 0.80 0.76 0.66 0.55 0.45 0.39 0.35 0.34 0.34 0.34 0.34 0.33 0.33 0.36 0.45 0.60 0.78 0.94 1.03 1.05 1.04 1.06 1.18 1.42 1.73 2.07 2.41 2.76 3.16 3.64 4.19 4.72 5.12 5.30 5.23 4.98 4.63 4.26 3.91 3.56 3.15 2.65 2.10 1.57 1.14 0.86 0.72 0.64 0.53 0.35 0.12 0.00 0.00 0.00 0.03 0.23 0.36 0.36 0.27 0.19 0.19 0.32 0.53 0.70 0.76 0.69 0.54 0.42 0.39 0.48 0.62 0.75 0.80 0.76 0.66 0.55 0.45 0.39 0.35 0.34 0.34 0.34 0.34 0.33 0.33 0.36 0.45 0.60 0.78 0.94 1.03 1.05 1.04 1.06 1.18 1.42 1.73 2.07 2.41 2.76 3.16 3.64 4.19 4.72 5.12 5.30 5.23 4.98 4.63 4.26 3.91 3.56 3.15 2.65 2.10 1.57 1.14 0.86 0.72 0.64 0.53 0.35 0.12 0.00 0.00 0.00 0.03 0.23 0.36 35.0 + 37.5 0.38 0.36 0.24 0.11 0.08 0.17 0.36 0.54 0.63 0.60 0.47 0.34 0.28 0.33 0.46 0.61 0.69 0.69 0.62 0.50 0.37 0.27 0.20 0.18 0.18 0.20 0.21 0.20 0.20 0.23 0.33 0.51 0.74 0.96 1.10 1.13 1.10 1.08 1.15 1.34 1.61 1.92 2.21 2.50 2.83 3.25 3.77 4.31 4.76 5.00 4.99 4.77 4.42 4.05 3.71 3.38 3.02 2.60 2.11 1.64 1.25 1.01 0.90 0.84 0.75 0.57 0.32 0.09 0.00 0.00 0.11 0.28 0.38 0.36 0.24 0.11 0.08 0.17 0.36 0.54 0.63 0.60 0.47 0.34 0.28 0.33 0.46 0.61 0.69 0.69 0.62 0.50 0.37 0.27 0.20 0.18 0.18 0.20 0.21 0.20 0.20 0.23 0.33 0.51 0.74 0.96 1.10 1.13 1.10 1.08 1.15 1.34 1.61 1.92 2.21 2.50 2.83 3.25 3.77 4.31 4.76 5.00 4.99 4.77 4.42 4.05 3.71 3.38 3.02 2.60 2.11 1.64 1.25 1.01 0.90 0.84 0.75 0.57 0.32 0.09 0.00 0.00 0.11 0.28 0.38 37.5 + 40.0 0.36 0.32 0.19 0.04 0.00 0.06 0.24 0.43 0.54 0.53 0.40 0.25 0.16 0.17 0.29 0.45 0.58 0.63 0.58 0.46 0.32 0.21 0.14 0.13 0.17 0.22 0.25 0.26 0.25 0.27 0.35 0.52 0.75 0.95 1.08 1.10 1.04 0.98 1.00 1.12 1.33 1.56 1.75 1.92 2.12 2.42 2.84 3.32 3.76 4.04 4.08 3.92 3.63 3.32 3.05 2.83 2.59 2.29 1.93 1.56 1.26 1.08 1.01 0.99 0.93 0.77 0.53 0.29 0.12 0.09 0.17 0.30 0.36 0.32 0.19 0.04 0.00 0.06 0.24 0.43 0.54 0.53 0.40 0.25 0.16 0.17 0.29 0.45 0.58 0.63 0.58 0.46 0.32 0.21 0.14 0.13 0.17 0.22 0.25 0.26 0.25 0.27 0.35 0.52 0.75 0.95 1.08 1.10 1.04 0.98 1.00 1.12 1.33 1.56 1.75 1.92 2.12 2.42 2.84 3.32 3.76 4.04 4.08 3.92 3.63 3.32 3.05 2.83 2.59 2.29 1.93 1.56 1.26 1.08 1.01 0.99 0.93 0.77 0.53 0.29 0.12 0.09 0.17 0.30 0.36 40.0 + 42.5 0.36 0.31 0.18 0.03 0.00 0.02 0.19 0.38 0.51 0.50 0.36 0.18 0.05 0.04 0.15 0.33 0.50 0.59 0.57 0.47 0.33 0.22 0.18 0.20 0.28 0.36 0.41 0.42 0.40 0.40 0.45 0.58 0.75 0.91 0.98 0.96 0.87 0.78 0.78 0.86 1.01 1.14 1.22 1.24 1.28 1.42 1.70 2.09 2.48 2.74 2.82 2.70 2.48 2.26 2.11 2.01 1.92 1.77 1.56 1.32 1.12 1.01 0.99 1.02 1.01 0.91 0.71 0.47 0.28 0.20 0.23 0.31 0.36 0.31 0.18 0.03 0.00 0.02 0.19 0.38 0.51 0.50 0.36 0.18 0.05 0.04 0.15 0.33 0.50 0.59 0.57 0.47 0.33 0.22 0.18 0.20 0.28 0.36 0.41 0.42 0.40 0.40 0.45 0.58 0.75 0.91 0.98 0.96 0.87 0.78 0.78 0.86 1.01 1.14 1.22 1.24 1.28 1.42 1.70 2.09 2.48 2.74 2.82 2.70 2.48 2.26 2.11 2.01 1.92 1.77 1.56 1.32 1.12 1.01 0.99 1.02 1.01 0.91 0.71 0.47 0.28 0.20 0.23 0.31 0.36 42.5 + 45.0 0.42 0.38 0.26 0.12 0.04 0.08 0.23 0.41 0.53 0.52 0.37 0.16 0.00 0.00 0.07 0.27 0.47 0.59 0.59 0.50 0.38 0.29 0.28 0.34 0.44 0.53 0.57 0.57 0.53 0.51 0.54 0.62 0.73 0.81 0.82 0.75 0.64 0.57 0.57 0.65 0.75 0.81 0.77 0.67 0.57 0.56 0.71 0.99 1.30 1.53 1.60 1.51 1.34 1.19 1.12 1.14 1.17 1.17 1.09 0.96 0.84 0.79 0.83 0.92 0.97 0.94 0.81 0.61 0.44 0.34 0.34 0.39 0.42 0.38 0.26 0.12 0.04 0.08 0.23 0.41 0.53 0.52 0.37 0.16 0.00 0.00 0.07 0.27 0.47 0.59 0.59 0.50 0.38 0.29 0.28 0.34 0.44 0.53 0.57 0.57 0.53 0.51 0.54 0.62 0.73 0.81 0.82 0.75 0.64 0.57 0.57 0.65 0.75 0.81 0.77 0.67 0.57 0.56 0.71 0.99 1.30 1.53 1.60 1.51 1.34 1.19 1.12 1.14 1.17 1.17 1.09 0.96 0.84 0.79 0.83 0.92 0.97 0.94 0.81 0.61 0.44 0.34 0.34 0.39 0.42 45.0 + 47.5 0.56 0.54 0.45 0.32 0.24 0.25 0.37 0.53 0.63 0.61 0.45 0.22 0.04 0.00 0.07 0.27 0.48 0.61 0.61 0.53 0.43 0.37 0.40 0.48 0.59 0.65 0.66 0.62 0.56 0.54 0.56 0.61 0.67 0.68 0.63 0.53 0.44 0.40 0.43 0.53 0.62 0.63 0.52 0.33 0.13 0.03 0.09 0.28 0.52 0.69 0.73 0.64 0.49 0.37 0.34 0.42 0.53 0.62 0.63 0.58 0.52 0.51 0.58 0.71 0.82 0.87 0.81 0.69 0.55 0.46 0.46 0.51 0.56 0.54 0.45 0.32 0.24 0.25 0.37 0.53 0.63 0.61 0.45 0.22 0.04 0.00 0.07 0.27 0.48 0.61 0.61 0.53 0.43 0.37 0.40 0.48 0.59 0.65 0.66 0.62 0.56 0.54 0.56 0.61 0.67 0.68 0.63 0.53 0.44 0.40 0.43 0.53 0.62 0.63 0.52 0.33 0.13 0.03 0.09 0.28 0.52 0.69 0.73 0.64 0.49 0.37 0.34 0.42 0.53 0.62 0.63 0.58 0.52 0.51 0.58 0.71 0.82 0.87 0.81 0.69 0.55 0.46 0.46 0.51 0.56 47.5 + 50.0 0.73 0.76 0.71 0.61 0.53 0.53 0.62 0.76 0.85 0.82 0.66 0.43 0.22 0.14 0.21 0.37 0.54 0.64 0.62 0.53 0.45 0.42 0.48 0.59 0.68 0.71 0.66 0.57 0.50 0.48 0.51 0.57 0.60 0.57 0.48 0.37 0.29 0.29 0.37 0.50 0.59 0.57 0.44 0.21 0.00 0.00 0.00 0.00 0.17 0.31 0.32 0.21 0.04 0.00 0.00 0.00 0.11 0.24 0.30 0.30 0.26 0.26 0.32 0.46 0.60 0.70 0.71 0.66 0.58 0.53 0.56 0.65 0.73 0.76 0.71 0.61 0.53 0.53 0.62 0.76 0.85 0.82 0.66 0.43 0.22 0.14 0.21 0.37 0.54 0.64 0.62 0.53 0.45 0.42 0.48 0.59 0.68 0.71 0.66 0.57 0.50 0.48 0.51 0.57 0.60 0.57 0.48 0.37 0.29 0.29 0.37 0.50 0.59 0.57 0.44 0.21 0.00 0.00 0.00 0.00 0.17 0.31 0.32 0.21 0.04 0.00 0.00 0.00 0.11 0.24 0.30 0.30 0.26 0.26 0.32 0.46 0.60 0.70 0.71 0.66 0.58 0.53 0.56 0.65 0.73 50.0 + 52.5 0.85 0.95 0.97 0.92 0.87 0.88 0.97 1.10 1.19 1.18 1.04 0.82 0.60 0.49 0.50 0.59 0.68 0.71 0.64 0.54 0.46 0.46 0.55 0.67 0.74 0.72 0.62 0.49 0.41 0.40 0.46 0.53 0.55 0.50 0.39 0.27 0.21 0.24 0.35 0.49 0.58 0.56 0.43 0.22 0.01 0.00 0.00 0.00 0.14 0.25 0.24 0.13 0.00 0.00 0.00 0.00 0.00 0.07 0.16 0.17 0.13 0.11 0.14 0.24 0.37 0.48 0.53 0.52 0.49 0.50 0.57 0.71 0.85 0.95 0.97 0.92 0.87 0.88 0.97 1.10 1.19 1.18 1.04 0.82 0.60 0.49 0.50 0.59 0.68 0.71 0.64 0.54 0.46 0.46 0.55 0.67 0.74 0.72 0.62 0.49 0.41 0.40 0.46 0.53 0.55 0.50 0.39 0.27 0.21 0.24 0.35 0.49 0.58 0.56 0.43 0.22 0.01 0.00 0.00 0.00 0.14 0.25 0.24 0.13 0.00 0.00 0.00 0.00 0.00 0.07 0.16 0.17 0.13 0.11 0.14 0.24 0.37 0.48 0.53 0.52 0.49 0.50 0.57 0.71 0.85 52.5 + 55.0 0.85 1.03 1.13 1.17 1.19 1.25 1.37 1.52 1.64 1.67 1.57 1.38 1.18 1.03 0.98 0.98 0.96 0.89 0.76 0.61 0.53 0.55 0.65 0.77 0.82 0.76 0.62 0.47 0.37 0.37 0.44 0.51 0.53 0.47 0.35 0.24 0.19 0.22 0.32 0.44 0.52 0.50 0.40 0.24 0.08 0.00 0.00 0.08 0.21 0.31 0.32 0.22 0.06 0.00 0.00 0.00 0.00 0.07 0.16 0.19 0.15 0.09 0.06 0.09 0.16 0.24 0.28 0.30 0.30 0.35 0.46 0.65 0.85 1.03 1.13 1.17 1.19 1.25 1.37 1.52 1.64 1.67 1.57 1.38 1.18 1.03 0.98 0.98 0.96 0.89 0.76 0.61 0.53 0.55 0.65 0.77 0.82 0.76 0.62 0.47 0.37 0.37 0.44 0.51 0.53 0.47 0.35 0.24 0.19 0.22 0.32 0.44 0.52 0.50 0.40 0.24 0.08 0.00 0.00 0.08 0.21 0.31 0.32 0.22 0.06 0.00 0.00 0.00 0.00 0.07 0.16 0.19 0.15 0.09 0.06 0.09 0.16 0.24 0.28 0.30 0.30 0.35 0.46 0.65 0.85 55.0 + 57.5 0.73 0.97 1.17 1.30 1.42 1.56 1.74 1.95 2.12 2.20 2.17 2.04 1.88 1.73 1.63 1.54 1.43 1.26 1.06 0.87 0.77 0.77 0.86 0.95 0.97 0.89 0.72 0.55 0.44 0.42 0.47 0.52 0.53 0.46 0.34 0.23 0.17 0.18 0.25 0.33 0.38 0.37 0.31 0.21 0.11 0.05 0.05 0.12 0.22 0.32 0.36 0.31 0.19 0.04 0.00 0.00 0.00 0.12 0.23 0.26 0.22 0.13 0.04 0.00 0.00 0.02 0.04 0.05 0.06 0.12 0.26 0.47 0.73 0.97 1.17 1.30 1.42 1.56 1.74 1.95 2.12 2.20 2.17 2.04 1.88 1.73 1.63 1.54 1.43 1.26 1.06 0.87 0.77 0.77 0.86 0.95 0.97 0.89 0.72 0.55 0.44 0.42 0.47 0.52 0.53 0.46 0.34 0.23 0.17 0.18 0.25 0.33 0.38 0.37 0.31 0.21 0.11 0.05 0.05 0.12 0.22 0.32 0.36 0.31 0.19 0.04 0.00 0.00 0.00 0.12 0.23 0.26 0.22 0.13 0.04 0.00 0.00 0.02 0.04 0.05 0.06 0.12 0.26 0.47 0.73 57.5 + 60.0 0.53 0.82 1.08 1.31 1.52 1.74 2.00 2.27 2.50 2.66 2.71 2.67 2.58 2.47 2.36 2.24 2.07 1.85 1.60 1.37 1.22 1.18 1.22 1.25 1.23 1.11 0.92 0.73 0.59 0.53 0.53 0.54 0.51 0.43 0.31 0.21 0.14 0.13 0.14 0.17 0.19 0.19 0.18 0.14 0.09 0.04 0.02 0.05 0.12 0.22 0.30 0.31 0.24 0.12 0.01 0.00 0.01 0.13 0.24 0.30 0.26 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.26 0.53 0.82 1.08 1.31 1.52 1.74 2.00 2.27 2.50 2.66 2.71 2.67 2.58 2.47 2.36 2.24 2.07 1.85 1.60 1.37 1.22 1.18 1.22 1.25 1.23 1.11 0.92 0.73 0.59 0.53 0.53 0.54 0.51 0.43 0.31 0.21 0.14 0.13 0.14 0.17 0.19 0.19 0.18 0.14 0.09 0.04 0.02 0.05 0.12 0.22 0.30 0.31 0.24 0.12 0.01 0.00 0.01 0.13 0.24 0.30 0.26 0.16 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.26 0.53 60.0 + 62.5 0.37 0.66 0.95 1.23 1.50 1.78 2.09 2.40 2.69 2.91 3.04 3.10 3.11 3.09 3.04 2.96 2.80 2.59 2.33 2.08 1.89 1.78 1.73 1.68 1.59 1.42 1.20 0.98 0.80 0.68 0.61 0.54 0.46 0.36 0.24 0.15 0.08 0.04 0.02 0.01 0.01 0.02 0.04 0.05 0.04 0.00 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.10 0.00 0.00 0.00 0.02 0.14 0.22 0.21 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.37 0.66 0.95 1.23 1.50 1.78 2.09 2.40 2.69 2.91 3.04 3.10 3.11 3.09 3.04 2.96 2.80 2.59 2.33 2.08 1.89 1.78 1.73 1.68 1.59 1.42 1.20 0.98 0.80 0.68 0.61 0.54 0.46 0.36 0.24 0.15 0.08 0.04 0.02 0.01 0.01 0.02 0.04 0.05 0.04 0.00 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.10 0.00 0.00 0.00 0.02 0.14 0.22 0.21 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.37 62.5 + 65.0 0.32 0.59 0.86 1.13 1.40 1.70 2.01 2.33 2.62 2.87 3.07 3.22 3.35 3.45 3.51 3.53 3.46 3.31 3.10 2.87 2.66 2.48 2.33 2.19 2.00 1.78 1.52 1.27 1.05 0.86 0.70 0.55 0.40 0.26 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 0.59 0.86 1.13 1.40 1.70 2.01 2.33 2.62 2.87 3.07 3.22 3.35 3.45 3.51 3.53 3.46 3.31 3.10 2.87 2.66 2.48 2.33 2.19 2.00 1.78 1.52 1.27 1.05 0.86 0.70 0.55 0.40 0.26 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 65.0 + 67.5 0.43 0.64 0.85 1.07 1.30 1.54 1.81 2.08 2.33 2.57 2.80 3.01 3.23 3.46 3.65 3.80 3.86 3.83 3.72 3.55 3.35 3.14 2.92 2.69 2.43 2.15 1.87 1.59 1.33 1.09 0.85 0.61 0.38 0.18 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.24 0.43 0.64 0.85 1.07 1.30 1.54 1.81 2.08 2.33 2.57 2.80 3.01 3.23 3.46 3.65 3.80 3.86 3.83 3.72 3.55 3.35 3.14 2.92 2.69 2.43 2.15 1.87 1.59 1.33 1.09 0.85 0.61 0.38 0.18 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.24 0.43 67.5 + 70.0 0.66 0.81 0.95 1.09 1.23 1.38 1.55 1.73 1.91 2.10 2.31 2.55 2.83 3.13 3.44 3.70 3.89 4.00 4.02 3.95 3.82 3.62 3.38 3.10 2.80 2.50 2.21 1.94 1.67 1.38 1.08 0.76 0.44 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.18 0.27 0.37 0.51 0.66 0.81 0.95 1.09 1.23 1.38 1.55 1.73 1.91 2.10 2.31 2.55 2.83 3.13 3.44 3.70 3.89 4.00 4.02 3.95 3.82 3.62 3.38 3.10 2.80 2.50 2.21 1.94 1.67 1.38 1.08 0.76 0.44 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.18 0.27 0.37 0.51 0.66 70.0 + 72.5 0.94 1.05 1.12 1.17 1.21 1.26 1.31 1.38 1.46 1.58 1.74 1.97 2.26 2.59 2.93 3.26 3.54 3.75 3.90 3.96 3.92 3.79 3.58 3.32 3.03 2.76 2.51 2.27 2.02 1.73 1.39 1.01 0.62 0.28 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.01 0.05 0.13 0.23 0.34 0.45 0.56 0.67 0.81 0.94 1.05 1.12 1.17 1.21 1.26 1.31 1.38 1.46 1.58 1.74 1.97 2.26 2.59 2.93 3.26 3.54 3.75 3.90 3.96 3.92 3.79 3.58 3.32 3.03 2.76 2.51 2.27 2.02 1.73 1.39 1.01 0.62 0.28 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.01 0.01 0.05 0.13 0.23 0.34 0.45 0.56 0.67 0.81 0.94 72.5 + 75.0 1.18 1.27 1.30 1.28 1.24 1.18 1.12 1.08 1.07 1.12 1.23 1.43 1.68 1.97 2.28 2.58 2.88 3.15 3.40 3.58 3.66 3.62 3.48 3.27 3.05 2.85 2.68 2.53 2.34 2.08 1.74 1.33 0.90 0.51 0.21 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.38 0.46 0.40 0.22 0.03 0.00 0.00 0.02 0.16 0.26 0.28 0.26 0.23 0.25 0.33 0.44 0.57 0.69 0.81 0.94 1.07 1.18 1.27 1.30 1.28 1.24 1.18 1.12 1.08 1.07 1.12 1.23 1.43 1.68 1.97 2.28 2.58 2.88 3.15 3.40 3.58 3.66 3.62 3.48 3.27 3.05 2.85 2.68 2.53 2.34 2.08 1.74 1.33 0.90 0.51 0.21 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.38 0.46 0.40 0.22 0.03 0.00 0.00 0.02 0.16 0.26 0.28 0.26 0.23 0.25 0.33 0.44 0.57 0.69 0.81 0.94 1.07 1.18 75.0 + 77.5 1.35 1.42 1.43 1.38 1.27 1.13 0.97 0.84 0.77 0.77 0.87 1.03 1.23 1.43 1.63 1.84 2.07 2.35 2.65 2.92 3.09 3.15 3.08 2.94 2.81 2.71 2.66 2.62 2.53 2.33 2.02 1.63 1.22 0.85 0.55 0.34 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.28 0.52 0.73 0.82 0.76 0.57 0.36 0.23 0.25 0.38 0.53 0.62 0.62 0.54 0.47 0.45 0.50 0.62 0.76 0.89 1.01 1.13 1.25 1.35 1.42 1.43 1.38 1.27 1.13 0.97 0.84 0.77 0.77 0.87 1.03 1.23 1.43 1.63 1.84 2.07 2.35 2.65 2.92 3.09 3.15 3.08 2.94 2.81 2.71 2.66 2.62 2.53 2.33 2.02 1.63 1.22 0.85 0.55 0.34 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.28 0.52 0.73 0.82 0.76 0.57 0.36 0.23 0.25 0.38 0.53 0.62 0.62 0.54 0.47 0.45 0.50 0.62 0.76 0.89 1.01 1.13 1.25 1.35 77.5 + 80.0 1.42 1.48 1.49 1.43 1.29 1.09 0.86 0.67 0.55 0.55 0.66 0.81 0.96 1.06 1.11 1.17 1.29 1.52 1.83 2.15 2.39 2.49 2.47 2.39 2.33 2.34 2.42 2.51 2.52 2.41 2.17 1.85 1.51 1.23 1.02 0.85 0.69 0.48 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.22 0.33 0.53 0.80 1.04 1.15 1.07 0.86 0.64 0.51 0.55 0.71 0.88 0.97 0.92 0.78 0.64 0.57 0.61 0.73 0.89 1.04 1.15 1.25 1.34 1.42 1.48 1.49 1.43 1.29 1.09 0.86 0.67 0.55 0.55 0.66 0.81 0.96 1.06 1.11 1.17 1.29 1.52 1.83 2.15 2.39 2.49 2.47 2.39 2.33 2.34 2.42 2.51 2.52 2.41 2.17 1.85 1.51 1.23 1.02 0.85 0.69 0.48 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.16 0.22 0.33 0.53 0.80 1.04 1.15 1.07 0.86 0.64 0.51 0.55 0.71 0.88 0.97 0.92 0.78 0.64 0.57 0.61 0.73 0.89 1.04 1.15 1.25 1.34 1.42 80.0 + 82.5 1.42 1.47 1.49 1.44 1.28 1.04 0.77 0.54 0.41 0.44 0.58 0.75 0.87 0.87 0.78 0.67 0.67 0.83 1.12 1.46 1.71 1.82 1.80 1.73 1.71 1.81 2.00 2.20 2.31 2.27 2.12 1.90 1.70 1.58 1.52 1.46 1.33 1.08 0.72 0.33 0.01 0.00 0.00 0.00 0.16 0.27 0.32 0.35 0.45 0.66 0.96 1.22 1.34 1.25 1.01 0.77 0.65 0.72 0.92 1.13 1.21 1.12 0.92 0.71 0.60 0.63 0.78 0.97 1.13 1.24 1.31 1.36 1.42 1.47 1.49 1.44 1.28 1.04 0.77 0.54 0.41 0.44 0.58 0.75 0.87 0.87 0.78 0.67 0.67 0.83 1.12 1.46 1.71 1.82 1.80 1.73 1.71 1.81 2.00 2.20 2.31 2.27 2.12 1.90 1.70 1.58 1.52 1.46 1.33 1.08 0.72 0.33 0.01 0.00 0.00 0.00 0.16 0.27 0.32 0.35 0.45 0.66 0.96 1.22 1.34 1.25 1.01 0.77 0.65 0.72 0.92 1.13 1.21 1.12 0.92 0.71 0.60 0.63 0.78 0.97 1.13 1.24 1.31 1.36 1.42 82.5 + 85.0 1.38 1.42 1.45 1.42 1.27 1.01 0.70 0.45 0.33 0.40 0.59 0.80 0.91 0.84 0.63 0.40 0.30 0.39 0.67 0.99 1.23 1.30 1.23 1.13 1.12 1.26 1.51 1.77 1.94 1.96 1.87 1.77 1.73 1.81 1.94 2.03 1.98 1.72 1.30 0.81 0.41 0.20 0.18 0.29 0.42 0.47 0.44 0.40 0.46 0.66 0.96 1.23 1.34 1.23 0.97 0.72 0.62 0.73 0.98 1.22 1.31 1.19 0.94 0.68 0.54 0.58 0.77 1.00 1.19 1.30 1.34 1.35 1.38 1.42 1.45 1.42 1.27 1.01 0.70 0.45 0.33 0.40 0.59 0.80 0.91 0.84 0.63 0.40 0.30 0.39 0.67 0.99 1.23 1.30 1.23 1.13 1.12 1.26 1.51 1.77 1.94 1.96 1.87 1.77 1.73 1.81 1.94 2.03 1.98 1.72 1.30 0.81 0.41 0.20 0.18 0.29 0.42 0.47 0.44 0.40 0.46 0.66 0.96 1.23 1.34 1.23 0.97 0.72 0.62 0.73 0.98 1.22 1.31 1.19 0.94 0.68 0.54 0.58 0.77 1.00 1.19 1.30 1.34 1.35 1.38 85.0 + 87.5 1.34 1.37 1.41 1.39 1.25 0.99 0.67 0.41 0.32 0.42 0.66 0.92 1.03 0.92 0.65 0.35 0.18 0.24 0.50 0.81 1.01 1.03 0.89 0.73 0.69 0.82 1.07 1.34 1.51 1.54 1.50 1.48 1.59 1.84 2.17 2.42 2.46 2.24 1.81 1.30 0.87 0.63 0.59 0.67 0.73 0.69 0.57 0.44 0.43 0.59 0.87 1.11 1.20 1.06 0.79 0.53 0.45 0.60 0.90 1.18 1.28 1.15 0.87 0.59 0.44 0.50 0.72 1.00 1.22 1.33 1.36 1.34 1.34 1.37 1.41 1.39 1.25 0.99 0.67 0.41 0.32 0.42 0.66 0.92 1.03 0.92 0.65 0.35 0.18 0.24 0.50 0.81 1.01 1.03 0.89 0.73 0.69 0.82 1.07 1.34 1.51 1.54 1.50 1.48 1.59 1.84 2.17 2.42 2.46 2.24 1.81 1.30 0.87 0.63 0.59 0.67 0.73 0.69 0.57 0.44 0.43 0.59 0.87 1.11 1.20 1.06 0.79 0.53 0.45 0.60 0.90 1.18 1.28 1.15 0.87 0.59 0.44 0.50 0.72 1.00 1.22 1.33 1.36 1.34 1.34 87.5 + 90.0 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 90.0 + + 27.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.99 ) PHI2 = 28. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.0 + 2.5 0.36 0.36 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.24 2.20 2.05 1.83 1.59 1.36 1.13 0.92 0.72 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.25 2.29 2.21 2.03 1.78 1.53 1.28 1.06 0.85 0.65 0.49 0.39 0.36 0.36 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.24 2.20 2.05 1.83 1.59 1.36 1.13 0.92 0.72 0.55 0.45 0.41 0.40 0.37 0.25 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.25 2.29 2.21 2.03 1.78 1.53 1.28 1.06 0.85 0.65 0.49 0.39 0.36 2.5 + 5.0 0.29 0.34 0.39 0.37 0.26 0.09 0.00 0.00 0.00 0.06 0.27 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.65 1.92 2.13 2.25 2.24 2.13 1.92 1.68 1.42 1.17 0.94 0.74 0.60 0.52 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.31 0.38 0.40 0.42 0.48 0.61 0.79 1.01 1.24 1.49 1.77 2.04 2.28 2.42 2.44 2.30 2.05 1.74 1.43 1.15 0.91 0.69 0.50 0.36 0.29 0.29 0.34 0.39 0.37 0.26 0.09 0.00 0.00 0.00 0.06 0.27 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.65 1.92 2.13 2.25 2.24 2.13 1.92 1.68 1.42 1.17 0.94 0.74 0.60 0.52 0.50 0.50 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.31 0.38 0.40 0.42 0.48 0.61 0.79 1.01 1.24 1.49 1.77 2.04 2.28 2.42 2.44 2.30 2.05 1.74 1.43 1.15 0.91 0.69 0.50 0.36 0.29 0.29 5.0 + 7.5 0.24 0.34 0.45 0.50 0.47 0.37 0.24 0.16 0.19 0.30 0.47 0.60 0.65 0.60 0.49 0.38 0.33 0.37 0.50 0.70 0.95 1.23 1.52 1.80 2.04 2.21 2.26 2.19 2.01 1.76 1.48 1.20 0.97 0.79 0.69 0.66 0.67 0.69 0.65 0.53 0.35 0.16 0.04 0.03 0.13 0.29 0.45 0.55 0.58 0.58 0.60 0.67 0.81 0.99 1.20 1.44 1.70 1.99 2.28 2.51 2.63 2.58 2.37 2.04 1.66 1.29 0.98 0.73 0.52 0.35 0.24 0.20 0.24 0.34 0.45 0.50 0.47 0.37 0.24 0.16 0.19 0.30 0.47 0.60 0.65 0.60 0.49 0.38 0.33 0.37 0.50 0.70 0.95 1.23 1.52 1.80 2.04 2.21 2.26 2.19 2.01 1.76 1.48 1.20 0.97 0.79 0.69 0.66 0.67 0.69 0.65 0.53 0.35 0.16 0.04 0.03 0.13 0.29 0.45 0.55 0.58 0.58 0.60 0.67 0.81 0.99 1.20 1.44 1.70 1.99 2.28 2.51 2.63 2.58 2.37 2.04 1.66 1.29 0.98 0.73 0.52 0.35 0.24 0.20 0.24 7.5 + 10.0 0.25 0.37 0.51 0.62 0.66 0.61 0.51 0.42 0.40 0.48 0.61 0.73 0.79 0.74 0.60 0.45 0.34 0.32 0.41 0.59 0.83 1.10 1.37 1.65 1.90 2.09 2.19 2.17 2.04 1.80 1.51 1.23 0.99 0.85 0.80 0.84 0.91 0.96 0.93 0.83 0.67 0.52 0.46 0.50 0.63 0.80 0.92 0.98 0.98 0.96 0.98 1.06 1.18 1.34 1.52 1.73 1.96 2.24 2.50 2.70 2.76 2.65 2.36 1.96 1.52 1.12 0.81 0.57 0.40 0.27 0.20 0.19 0.25 0.37 0.51 0.62 0.66 0.61 0.51 0.42 0.40 0.48 0.61 0.73 0.79 0.74 0.60 0.45 0.34 0.32 0.41 0.59 0.83 1.10 1.37 1.65 1.90 2.09 2.19 2.17 2.04 1.80 1.51 1.23 0.99 0.85 0.80 0.84 0.91 0.96 0.93 0.83 0.67 0.52 0.46 0.50 0.63 0.80 0.92 0.98 0.98 0.96 0.98 1.06 1.18 1.34 1.52 1.73 1.96 2.24 2.50 2.70 2.76 2.65 2.36 1.96 1.52 1.12 0.81 0.57 0.40 0.27 0.20 0.19 0.25 10.0 + 12.5 0.30 0.42 0.56 0.69 0.77 0.75 0.67 0.56 0.50 0.53 0.64 0.77 0.86 0.85 0.73 0.57 0.42 0.37 0.42 0.57 0.78 1.01 1.25 1.48 1.71 1.92 2.06 2.09 2.00 1.79 1.51 1.23 1.01 0.90 0.92 1.02 1.15 1.24 1.24 1.15 1.01 0.91 0.91 1.01 1.19 1.36 1.47 1.50 1.47 1.44 1.46 1.54 1.65 1.78 1.91 2.05 2.23 2.43 2.63 2.76 2.75 2.56 2.21 1.77 1.32 0.93 0.65 0.46 0.34 0.27 0.23 0.24 0.30 0.42 0.56 0.69 0.77 0.75 0.67 0.56 0.50 0.53 0.64 0.77 0.86 0.85 0.73 0.57 0.42 0.37 0.42 0.57 0.78 1.01 1.25 1.48 1.71 1.92 2.06 2.09 2.00 1.79 1.51 1.23 1.01 0.90 0.92 1.02 1.15 1.24 1.24 1.15 1.01 0.91 0.91 1.01 1.19 1.36 1.47 1.50 1.47 1.44 1.46 1.54 1.65 1.78 1.91 2.05 2.23 2.43 2.63 2.76 2.75 2.56 2.21 1.77 1.32 0.93 0.65 0.46 0.34 0.27 0.23 0.24 0.30 12.5 + 15.0 0.36 0.45 0.57 0.71 0.80 0.81 0.73 0.60 0.50 0.48 0.56 0.71 0.84 0.89 0.83 0.69 0.54 0.46 0.49 0.61 0.78 0.97 1.15 1.33 1.53 1.73 1.90 1.97 1.93 1.75 1.49 1.22 1.01 0.93 0.98 1.14 1.31 1.44 1.46 1.38 1.27 1.21 1.25 1.40 1.61 1.80 1.90 1.90 1.86 1.83 1.85 1.93 2.04 2.14 2.23 2.31 2.40 2.52 2.62 2.66 2.56 2.31 1.93 1.49 1.07 0.72 0.49 0.36 0.31 0.29 0.29 0.31 0.36 0.45 0.57 0.71 0.80 0.81 0.73 0.60 0.50 0.48 0.56 0.71 0.84 0.89 0.83 0.69 0.54 0.46 0.49 0.61 0.78 0.97 1.15 1.33 1.53 1.73 1.90 1.97 1.93 1.75 1.49 1.22 1.01 0.93 0.98 1.14 1.31 1.44 1.46 1.38 1.27 1.21 1.25 1.40 1.61 1.80 1.90 1.90 1.86 1.83 1.85 1.93 2.04 2.14 2.23 2.31 2.40 2.52 2.62 2.66 2.56 2.31 1.93 1.49 1.07 0.72 0.49 0.36 0.31 0.29 0.29 0.31 0.36 15.0 + 17.5 0.36 0.42 0.53 0.66 0.77 0.81 0.75 0.61 0.46 0.38 0.43 0.57 0.74 0.85 0.85 0.75 0.62 0.54 0.55 0.64 0.79 0.94 1.08 1.23 1.40 1.59 1.77 1.88 1.88 1.73 1.49 1.21 1.00 0.91 0.96 1.13 1.32 1.47 1.51 1.46 1.37 1.33 1.40 1.57 1.80 1.98 2.08 2.07 2.01 1.97 2.00 2.09 2.22 2.32 2.39 2.42 2.44 2.46 2.45 2.39 2.22 1.93 1.56 1.15 0.77 0.49 0.31 0.24 0.23 0.27 0.30 0.32 0.36 0.42 0.53 0.66 0.77 0.81 0.75 0.61 0.46 0.38 0.43 0.57 0.74 0.85 0.85 0.75 0.62 0.54 0.55 0.64 0.79 0.94 1.08 1.23 1.40 1.59 1.77 1.88 1.88 1.73 1.49 1.21 1.00 0.91 0.96 1.13 1.32 1.47 1.51 1.46 1.37 1.33 1.40 1.57 1.80 1.98 2.08 2.07 2.01 1.97 2.00 2.09 2.22 2.32 2.39 2.42 2.44 2.46 2.45 2.39 2.22 1.93 1.56 1.15 0.77 0.49 0.31 0.24 0.23 0.27 0.30 0.32 0.36 17.5 + 20.0 0.28 0.33 0.43 0.58 0.73 0.81 0.78 0.63 0.44 0.31 0.30 0.43 0.61 0.76 0.80 0.74 0.63 0.55 0.55 0.63 0.77 0.91 1.04 1.18 1.34 1.52 1.71 1.84 1.85 1.73 1.50 1.22 0.98 0.86 0.88 1.01 1.19 1.34 1.41 1.39 1.34 1.32 1.40 1.57 1.79 1.97 2.06 2.04 1.97 1.91 1.94 2.04 2.19 2.31 2.38 2.39 2.35 2.27 2.16 2.00 1.78 1.48 1.14 0.79 0.48 0.24 0.10 0.06 0.09 0.15 0.21 0.25 0.28 0.33 0.43 0.58 0.73 0.81 0.78 0.63 0.44 0.31 0.30 0.43 0.61 0.76 0.80 0.74 0.63 0.55 0.55 0.63 0.77 0.91 1.04 1.18 1.34 1.52 1.71 1.84 1.85 1.73 1.50 1.22 0.98 0.86 0.88 1.01 1.19 1.34 1.41 1.39 1.34 1.32 1.40 1.57 1.79 1.97 2.06 2.04 1.97 1.91 1.94 2.04 2.19 2.31 2.38 2.39 2.35 2.27 2.16 2.00 1.78 1.48 1.14 0.79 0.48 0.24 0.10 0.06 0.09 0.15 0.21 0.25 0.28 20.0 + 22.5 0.15 0.20 0.31 0.48 0.67 0.81 0.82 0.69 0.48 0.30 0.24 0.31 0.48 0.65 0.72 0.69 0.59 0.51 0.50 0.58 0.72 0.87 1.01 1.16 1.31 1.50 1.67 1.80 1.82 1.72 1.50 1.23 0.98 0.81 0.77 0.85 1.00 1.15 1.25 1.28 1.28 1.30 1.40 1.58 1.79 1.98 2.06 2.04 1.96 1.89 1.89 1.97 2.11 2.24 2.31 2.29 2.19 2.02 1.81 1.58 1.31 1.04 0.75 0.47 0.22 0.01 0.00 0.00 0.00 0.00 0.05 0.11 0.15 0.20 0.31 0.48 0.67 0.81 0.82 0.69 0.48 0.30 0.24 0.31 0.48 0.65 0.72 0.69 0.59 0.51 0.50 0.58 0.72 0.87 1.01 1.16 1.31 1.50 1.67 1.80 1.82 1.72 1.50 1.23 0.98 0.81 0.77 0.85 1.00 1.15 1.25 1.28 1.28 1.30 1.40 1.58 1.79 1.98 2.06 2.04 1.96 1.89 1.89 1.97 2.11 2.24 2.31 2.29 2.19 2.02 1.81 1.58 1.31 1.04 0.75 0.47 0.22 0.01 0.00 0.00 0.00 0.00 0.05 0.11 0.15 22.5 + 25.0 0.04 0.09 0.20 0.38 0.61 0.79 0.86 0.76 0.55 0.34 0.22 0.26 0.40 0.57 0.66 0.64 0.56 0.47 0.46 0.53 0.66 0.82 0.97 1.12 1.27 1.43 1.58 1.69 1.71 1.63 1.45 1.21 0.98 0.80 0.72 0.74 0.85 1.01 1.15 1.26 1.34 1.43 1.57 1.78 2.02 2.22 2.34 2.34 2.26 2.16 2.11 2.13 2.21 2.30 2.32 2.25 2.07 1.81 1.50 1.19 0.91 0.66 0.43 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.20 0.38 0.61 0.79 0.86 0.76 0.55 0.34 0.22 0.26 0.40 0.57 0.66 0.64 0.56 0.47 0.46 0.53 0.66 0.82 0.97 1.12 1.27 1.43 1.58 1.69 1.71 1.63 1.45 1.21 0.98 0.80 0.72 0.74 0.85 1.01 1.15 1.26 1.34 1.43 1.57 1.78 2.02 2.22 2.34 2.34 2.26 2.16 2.11 2.13 2.21 2.30 2.32 2.25 2.07 1.81 1.50 1.19 0.91 0.66 0.43 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 25.0 + 27.5 0.00 0.03 0.11 0.28 0.51 0.73 0.84 0.78 0.60 0.38 0.25 0.25 0.38 0.53 0.63 0.63 0.56 0.48 0.45 0.50 0.61 0.76 0.89 1.02 1.14 1.26 1.37 1.44 1.46 1.41 1.30 1.15 0.98 0.84 0.75 0.75 0.84 0.99 1.18 1.38 1.56 1.75 1.97 2.23 2.53 2.80 2.98 3.04 2.99 2.86 2.73 2.65 2.61 2.59 2.52 2.35 2.06 1.69 1.29 0.92 0.62 0.40 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.28 0.51 0.73 0.84 0.78 0.60 0.38 0.25 0.25 0.38 0.53 0.63 0.63 0.56 0.48 0.45 0.50 0.61 0.76 0.89 1.02 1.14 1.26 1.37 1.44 1.46 1.41 1.30 1.15 0.98 0.84 0.75 0.75 0.84 0.99 1.18 1.38 1.56 1.75 1.97 2.23 2.53 2.80 2.98 3.04 2.99 2.86 2.73 2.65 2.61 2.59 2.52 2.35 2.06 1.69 1.29 0.92 0.62 0.40 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.02 0.03 0.06 0.18 0.39 0.61 0.75 0.74 0.60 0.41 0.27 0.27 0.37 0.52 0.63 0.65 0.60 0.52 0.47 0.49 0.56 0.66 0.75 0.84 0.91 0.98 1.04 1.08 1.10 1.09 1.07 1.04 0.98 0.92 0.87 0.87 0.94 1.09 1.32 1.59 1.87 2.16 2.47 2.80 3.17 3.53 3.81 3.96 3.95 3.81 3.61 3.40 3.22 3.05 2.85 2.56 2.17 1.69 1.21 0.78 0.47 0.28 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.06 0.18 0.39 0.61 0.75 0.74 0.60 0.41 0.27 0.27 0.37 0.52 0.63 0.65 0.60 0.52 0.47 0.49 0.56 0.66 0.75 0.84 0.91 0.98 1.04 1.08 1.10 1.09 1.07 1.04 0.98 0.92 0.87 0.87 0.94 1.09 1.32 1.59 1.87 2.16 2.47 2.80 3.17 3.53 3.81 3.96 3.95 3.81 3.61 3.40 3.22 3.05 2.85 2.56 2.17 1.69 1.21 0.78 0.47 0.28 0.15 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 30.0 + 32.5 0.10 0.05 0.02 0.08 0.23 0.44 0.60 0.64 0.55 0.40 0.28 0.27 0.36 0.50 0.62 0.67 0.64 0.57 0.51 0.48 0.49 0.52 0.56 0.59 0.62 0.64 0.66 0.68 0.69 0.74 0.80 0.89 0.97 1.01 1.02 1.02 1.07 1.21 1.44 1.75 2.10 2.45 2.82 3.21 3.63 4.06 4.44 4.69 4.75 4.64 4.39 4.09 3.78 3.48 3.16 2.78 2.31 1.77 1.24 0.79 0.47 0.30 0.20 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.10 0.05 0.02 0.08 0.23 0.44 0.60 0.64 0.55 0.40 0.28 0.27 0.36 0.50 0.62 0.67 0.64 0.57 0.51 0.48 0.49 0.52 0.56 0.59 0.62 0.64 0.66 0.68 0.69 0.74 0.80 0.89 0.97 1.01 1.02 1.02 1.07 1.21 1.44 1.75 2.10 2.45 2.82 3.21 3.63 4.06 4.44 4.69 4.75 4.64 4.39 4.09 3.78 3.48 3.16 2.78 2.31 1.77 1.24 0.79 0.47 0.30 0.20 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.10 32.5 + 35.0 0.16 0.07 0.00 0.00 0.08 0.26 0.43 0.51 0.48 0.36 0.26 0.23 0.31 0.44 0.56 0.64 0.64 0.59 0.52 0.45 0.40 0.37 0.36 0.36 0.36 0.37 0.36 0.36 0.37 0.44 0.57 0.75 0.93 1.06 1.12 1.12 1.14 1.23 1.43 1.73 2.08 2.45 2.81 3.20 3.62 4.08 4.52 4.85 4.99 4.93 4.68 4.34 3.97 3.62 3.25 2.85 2.37 1.84 1.31 0.88 0.58 0.41 0.33 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.16 0.07 0.00 0.00 0.08 0.26 0.43 0.51 0.48 0.36 0.26 0.23 0.31 0.44 0.56 0.64 0.64 0.59 0.52 0.45 0.40 0.37 0.36 0.36 0.36 0.37 0.36 0.36 0.37 0.44 0.57 0.75 0.93 1.06 1.12 1.12 1.14 1.23 1.43 1.73 2.08 2.45 2.81 3.20 3.62 4.08 4.52 4.85 4.99 4.93 4.68 4.34 3.97 3.62 3.25 2.85 2.37 1.84 1.31 0.88 0.58 0.41 0.33 0.25 0.11 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.16 35.0 + 37.5 0.17 0.05 0.00 0.00 0.00 0.11 0.29 0.41 0.41 0.33 0.22 0.17 0.21 0.32 0.45 0.56 0.60 0.58 0.50 0.41 0.31 0.24 0.21 0.20 0.22 0.23 0.23 0.21 0.22 0.28 0.43 0.65 0.88 1.05 1.12 1.11 1.08 1.11 1.25 1.50 1.80 2.10 2.40 2.71 3.06 3.48 3.92 4.28 4.49 4.49 4.29 3.98 3.63 3.30 2.99 2.65 2.25 1.80 1.34 0.96 0.70 0.56 0.49 0.42 0.29 0.10 0.00 0.00 0.00 0.00 0.11 0.19 0.17 0.05 0.00 0.00 0.00 0.11 0.29 0.41 0.41 0.33 0.22 0.17 0.21 0.32 0.45 0.56 0.60 0.58 0.50 0.41 0.31 0.24 0.21 0.20 0.22 0.23 0.23 0.21 0.22 0.28 0.43 0.65 0.88 1.05 1.12 1.11 1.08 1.11 1.25 1.50 1.80 2.10 2.40 2.71 3.06 3.48 3.92 4.28 4.49 4.49 4.29 3.98 3.63 3.30 2.99 2.65 2.25 1.80 1.34 0.96 0.70 0.56 0.49 0.42 0.29 0.10 0.00 0.00 0.00 0.00 0.11 0.19 0.17 37.5 + 40.0 0.14 0.02 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.29 0.17 0.08 0.08 0.17 0.32 0.46 0.55 0.56 0.49 0.38 0.26 0.18 0.15 0.17 0.22 0.26 0.27 0.25 0.23 0.27 0.40 0.60 0.82 0.97 1.02 0.98 0.90 0.88 0.96 1.14 1.35 1.55 1.72 1.89 2.11 2.42 2.80 3.16 3.39 3.44 3.32 3.08 2.81 2.57 2.38 2.17 1.92 1.60 1.27 0.97 0.76 0.66 0.62 0.57 0.46 0.28 0.10 0.00 0.00 0.02 0.12 0.18 0.14 0.02 0.00 0.00 0.00 0.00 0.19 0.33 0.36 0.29 0.17 0.08 0.08 0.17 0.32 0.46 0.55 0.56 0.49 0.38 0.26 0.18 0.15 0.17 0.22 0.26 0.27 0.25 0.23 0.27 0.40 0.60 0.82 0.97 1.02 0.98 0.90 0.88 0.96 1.14 1.35 1.55 1.72 1.89 2.11 2.42 2.80 3.16 3.39 3.44 3.32 3.08 2.81 2.57 2.38 2.17 1.92 1.60 1.27 0.97 0.76 0.66 0.62 0.57 0.46 0.28 0.10 0.00 0.00 0.02 0.12 0.18 0.14 40.0 + 42.5 0.13 0.01 0.00 0.00 0.00 0.00 0.12 0.27 0.31 0.24 0.10 0.00 0.00 0.02 0.19 0.38 0.52 0.56 0.51 0.38 0.26 0.18 0.18 0.25 0.34 0.40 0.41 0.38 0.34 0.35 0.43 0.59 0.75 0.85 0.86 0.78 0.68 0.63 0.68 0.80 0.93 1.01 1.03 1.03 1.09 1.27 1.55 1.85 2.08 2.17 2.09 1.93 1.75 1.63 1.57 1.52 1.43 1.27 1.06 0.85 0.72 0.66 0.66 0.65 0.58 0.44 0.27 0.12 0.06 0.08 0.14 0.18 0.13 0.01 0.00 0.00 0.00 0.00 0.12 0.27 0.31 0.24 0.10 0.00 0.00 0.02 0.19 0.38 0.52 0.56 0.51 0.38 0.26 0.18 0.18 0.25 0.34 0.40 0.41 0.38 0.34 0.35 0.43 0.59 0.75 0.85 0.86 0.78 0.68 0.63 0.68 0.80 0.93 1.01 1.03 1.03 1.09 1.27 1.55 1.85 2.08 2.17 2.09 1.93 1.75 1.63 1.57 1.52 1.43 1.27 1.06 0.85 0.72 0.66 0.66 0.65 0.58 0.44 0.27 0.12 0.06 0.08 0.14 0.18 0.13 42.5 + 45.0 0.18 0.07 0.00 0.00 0.00 0.00 0.08 0.23 0.28 0.20 0.04 0.00 0.00 0.00 0.11 0.35 0.53 0.59 0.54 0.41 0.29 0.24 0.28 0.38 0.49 0.56 0.56 0.51 0.45 0.44 0.50 0.60 0.70 0.73 0.68 0.57 0.48 0.45 0.50 0.60 0.67 0.65 0.54 0.40 0.31 0.36 0.54 0.79 0.99 1.07 1.02 0.89 0.77 0.73 0.77 0.85 0.89 0.86 0.76 0.64 0.57 0.56 0.60 0.65 0.64 0.56 0.41 0.27 0.19 0.17 0.21 0.23 0.18 0.07 0.00 0.00 0.00 0.00 0.08 0.23 0.28 0.20 0.04 0.00 0.00 0.00 0.11 0.35 0.53 0.59 0.54 0.41 0.29 0.24 0.28 0.38 0.49 0.56 0.56 0.51 0.45 0.44 0.50 0.60 0.70 0.73 0.68 0.57 0.48 0.45 0.50 0.60 0.67 0.65 0.54 0.40 0.31 0.36 0.54 0.79 0.99 1.07 1.02 0.89 0.77 0.73 0.77 0.85 0.89 0.86 0.76 0.64 0.57 0.56 0.60 0.65 0.64 0.56 0.41 0.27 0.19 0.17 0.21 0.23 0.18 45.0 + 47.5 0.32 0.22 0.07 0.00 0.00 0.00 0.10 0.23 0.27 0.19 0.02 0.00 0.00 0.00 0.09 0.35 0.54 0.61 0.55 0.43 0.33 0.30 0.37 0.49 0.60 0.65 0.62 0.56 0.50 0.50 0.55 0.63 0.67 0.63 0.54 0.42 0.34 0.36 0.45 0.56 0.60 0.52 0.32 0.08 0.00 0.00 0.00 0.18 0.35 0.41 0.35 0.22 0.12 0.10 0.18 0.32 0.44 0.50 0.47 0.41 0.38 0.40 0.48 0.58 0.63 0.60 0.50 0.39 0.30 0.28 0.31 0.34 0.32 0.22 0.07 0.00 0.00 0.00 0.10 0.23 0.27 0.19 0.02 0.00 0.00 0.00 0.09 0.35 0.54 0.61 0.55 0.43 0.33 0.30 0.37 0.49 0.60 0.65 0.62 0.56 0.50 0.50 0.55 0.63 0.67 0.63 0.54 0.42 0.34 0.36 0.45 0.56 0.60 0.52 0.32 0.08 0.00 0.00 0.00 0.18 0.35 0.41 0.35 0.22 0.12 0.10 0.18 0.32 0.44 0.50 0.47 0.41 0.38 0.40 0.48 0.58 0.63 0.60 0.50 0.39 0.30 0.28 0.31 0.34 0.32 47.5 + 50.0 0.50 0.43 0.29 0.15 0.07 0.09 0.20 0.31 0.34 0.26 0.10 0.00 0.00 0.00 0.14 0.38 0.56 0.60 0.52 0.40 0.32 0.34 0.44 0.57 0.66 0.67 0.61 0.53 0.50 0.53 0.60 0.67 0.67 0.59 0.45 0.32 0.28 0.34 0.47 0.60 0.63 0.53 0.30 0.04 0.00 0.00 0.00 0.03 0.17 0.21 0.13 0.00 0.00 0.00 0.00 0.02 0.17 0.26 0.28 0.26 0.24 0.27 0.36 0.47 0.55 0.56 0.51 0.42 0.36 0.37 0.42 0.48 0.50 0.43 0.29 0.15 0.07 0.09 0.20 0.31 0.34 0.26 0.10 0.00 0.00 0.00 0.14 0.38 0.56 0.60 0.52 0.40 0.32 0.34 0.44 0.57 0.66 0.67 0.61 0.53 0.50 0.53 0.60 0.67 0.67 0.59 0.45 0.32 0.28 0.34 0.47 0.60 0.63 0.53 0.30 0.04 0.00 0.00 0.00 0.03 0.17 0.21 0.13 0.00 0.00 0.00 0.00 0.02 0.17 0.26 0.28 0.26 0.24 0.27 0.36 0.47 0.55 0.56 0.51 0.42 0.36 0.37 0.42 0.48 0.50 50.0 + 52.5 0.66 0.64 0.54 0.41 0.32 0.33 0.41 0.51 0.55 0.48 0.33 0.17 0.09 0.14 0.30 0.48 0.59 0.58 0.48 0.36 0.30 0.35 0.49 0.62 0.69 0.66 0.57 0.49 0.48 0.55 0.65 0.72 0.70 0.58 0.41 0.27 0.24 0.32 0.47 0.61 0.65 0.55 0.34 0.11 0.00 0.00 0.00 0.14 0.27 0.31 0.23 0.07 0.00 0.00 0.00 0.00 0.10 0.20 0.24 0.23 0.21 0.22 0.28 0.36 0.43 0.45 0.42 0.36 0.34 0.38 0.48 0.59 0.66 0.64 0.54 0.41 0.32 0.33 0.41 0.51 0.55 0.48 0.33 0.17 0.09 0.14 0.30 0.48 0.59 0.58 0.48 0.36 0.30 0.35 0.49 0.62 0.69 0.66 0.57 0.49 0.48 0.55 0.65 0.72 0.70 0.58 0.41 0.27 0.24 0.32 0.47 0.61 0.65 0.55 0.34 0.11 0.00 0.00 0.00 0.14 0.27 0.31 0.23 0.07 0.00 0.00 0.00 0.00 0.10 0.20 0.24 0.23 0.21 0.22 0.28 0.36 0.43 0.45 0.42 0.36 0.34 0.38 0.48 0.59 0.66 52.5 + 55.0 0.75 0.80 0.76 0.68 0.63 0.65 0.74 0.85 0.90 0.86 0.73 0.58 0.49 0.51 0.60 0.69 0.72 0.64 0.50 0.37 0.34 0.42 0.57 0.70 0.74 0.69 0.58 0.49 0.49 0.58 0.70 0.77 0.73 0.58 0.39 0.24 0.20 0.27 0.41 0.53 0.57 0.50 0.35 0.18 0.06 0.05 0.14 0.29 0.43 0.48 0.43 0.29 0.13 0.02 0.00 0.06 0.17 0.27 0.32 0.31 0.27 0.24 0.24 0.27 0.29 0.29 0.25 0.22 0.22 0.30 0.44 0.62 0.75 0.80 0.76 0.68 0.63 0.65 0.74 0.85 0.90 0.86 0.73 0.58 0.49 0.51 0.60 0.69 0.72 0.64 0.50 0.37 0.34 0.42 0.57 0.70 0.74 0.69 0.58 0.49 0.49 0.58 0.70 0.77 0.73 0.58 0.39 0.24 0.20 0.27 0.41 0.53 0.57 0.50 0.35 0.18 0.06 0.05 0.14 0.29 0.43 0.48 0.43 0.29 0.13 0.02 0.00 0.06 0.17 0.27 0.32 0.31 0.27 0.24 0.24 0.27 0.29 0.29 0.25 0.22 0.22 0.30 0.44 0.62 0.75 55.0 + 57.5 0.74 0.86 0.90 0.90 0.91 0.99 1.12 1.26 1.35 1.35 1.26 1.14 1.05 1.04 1.06 1.07 1.02 0.87 0.70 0.56 0.53 0.61 0.75 0.86 0.88 0.79 0.66 0.57 0.56 0.64 0.74 0.78 0.72 0.56 0.36 0.20 0.14 0.18 0.28 0.37 0.41 0.38 0.29 0.20 0.14 0.15 0.23 0.36 0.49 0.57 0.56 0.48 0.35 0.23 0.17 0.20 0.28 0.37 0.43 0.42 0.37 0.30 0.23 0.18 0.15 0.11 0.06 0.03 0.05 0.15 0.33 0.55 0.74 0.86 0.90 0.90 0.91 0.99 1.12 1.26 1.35 1.35 1.26 1.14 1.05 1.04 1.06 1.07 1.02 0.87 0.70 0.56 0.53 0.61 0.75 0.86 0.88 0.79 0.66 0.57 0.56 0.64 0.74 0.78 0.72 0.56 0.36 0.20 0.14 0.18 0.28 0.37 0.41 0.38 0.29 0.20 0.14 0.15 0.23 0.36 0.49 0.57 0.56 0.48 0.35 0.23 0.17 0.20 0.28 0.37 0.43 0.42 0.37 0.30 0.23 0.18 0.15 0.11 0.06 0.03 0.05 0.15 0.33 0.55 0.74 57.5 + 60.0 0.65 0.82 0.94 1.02 1.12 1.27 1.46 1.65 1.78 1.83 1.80 1.73 1.68 1.66 1.66 1.63 1.53 1.35 1.15 1.00 0.95 1.00 1.10 1.15 1.12 1.00 0.84 0.72 0.67 0.69 0.73 0.73 0.63 0.47 0.29 0.14 0.06 0.07 0.12 0.17 0.21 0.22 0.21 0.19 0.17 0.18 0.23 0.31 0.41 0.51 0.56 0.53 0.45 0.35 0.27 0.26 0.31 0.39 0.46 0.46 0.40 0.30 0.19 0.09 0.02 0.00 0.00 0.00 0.00 0.01 0.19 0.42 0.65 0.82 0.94 1.02 1.12 1.27 1.46 1.65 1.78 1.83 1.80 1.73 1.68 1.66 1.66 1.63 1.53 1.35 1.15 1.00 0.95 1.00 1.10 1.15 1.12 1.00 0.84 0.72 0.67 0.69 0.73 0.73 0.63 0.47 0.29 0.14 0.06 0.07 0.12 0.17 0.21 0.22 0.21 0.19 0.17 0.18 0.23 0.31 0.41 0.51 0.56 0.53 0.45 0.35 0.27 0.26 0.31 0.39 0.46 0.46 0.40 0.30 0.19 0.09 0.02 0.00 0.00 0.00 0.00 0.01 0.19 0.42 0.65 60.0 + 62.5 0.54 0.73 0.90 1.05 1.22 1.43 1.67 1.90 2.08 2.19 2.22 2.23 2.24 2.27 2.30 2.29 2.20 2.04 1.86 1.70 1.62 1.60 1.61 1.58 1.48 1.30 1.10 0.92 0.80 0.74 0.69 0.61 0.48 0.32 0.16 0.04 0.00 0.00 0.00 0.00 0.04 0.09 0.14 0.17 0.18 0.17 0.15 0.17 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.18 0.20 0.27 0.34 0.37 0.32 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 0.54 0.73 0.90 1.05 1.22 1.43 1.67 1.90 2.08 2.19 2.22 2.23 2.24 2.27 2.30 2.29 2.20 2.04 1.86 1.70 1.62 1.60 1.61 1.58 1.48 1.30 1.10 0.92 0.80 0.74 0.69 0.61 0.48 0.32 0.16 0.04 0.00 0.00 0.00 0.00 0.04 0.09 0.14 0.17 0.18 0.17 0.15 0.17 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.18 0.20 0.27 0.34 0.37 0.32 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.32 0.54 62.5 + 65.0 0.47 0.65 0.82 1.00 1.21 1.45 1.72 1.97 2.18 2.32 2.42 2.50 2.60 2.72 2.84 2.91 2.90 2.82 2.69 2.55 2.44 2.36 2.27 2.14 1.94 1.70 1.43 1.19 0.99 0.82 0.66 0.49 0.31 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.16 0.11 0.04 0.00 0.00 0.07 0.18 0.26 0.26 0.19 0.08 0.00 0.00 0.04 0.12 0.17 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.47 0.65 0.82 1.00 1.21 1.45 1.72 1.97 2.18 2.32 2.42 2.50 2.60 2.72 2.84 2.91 2.90 2.82 2.69 2.55 2.44 2.36 2.27 2.14 1.94 1.70 1.43 1.19 0.99 0.82 0.66 0.49 0.31 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.16 0.11 0.04 0.00 0.00 0.07 0.18 0.26 0.26 0.19 0.08 0.00 0.00 0.04 0.12 0.17 0.15 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.47 65.0 + 67.5 0.48 0.62 0.77 0.93 1.13 1.36 1.62 1.86 2.05 2.21 2.34 2.49 2.68 2.91 3.14 3.33 3.44 3.48 3.45 3.38 3.28 3.15 2.98 2.76 2.49 2.18 1.86 1.56 1.27 1.00 0.72 0.45 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.21 0.34 0.48 0.62 0.77 0.93 1.13 1.36 1.62 1.86 2.05 2.21 2.34 2.49 2.68 2.91 3.14 3.33 3.44 3.48 3.45 3.38 3.28 3.15 2.98 2.76 2.49 2.18 1.86 1.56 1.27 1.00 0.72 0.45 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.21 0.34 0.48 67.5 + 70.0 0.58 0.67 0.77 0.89 1.04 1.23 1.43 1.62 1.77 1.90 2.04 2.23 2.49 2.80 3.13 3.43 3.68 3.85 3.95 3.98 3.94 3.83 3.64 3.37 3.05 2.71 2.36 2.02 1.68 1.33 0.96 0.58 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.17 0.23 0.30 0.38 0.48 0.58 0.67 0.77 0.89 1.04 1.23 1.43 1.62 1.77 1.90 2.04 2.23 2.49 2.80 3.13 3.43 3.68 3.85 3.95 3.98 3.94 3.83 3.64 3.37 3.05 2.71 2.36 2.02 1.68 1.33 0.96 0.58 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.17 0.23 0.30 0.38 0.48 0.58 70.0 + 72.5 0.73 0.79 0.85 0.91 1.00 1.12 1.23 1.34 1.42 1.51 1.63 1.83 2.11 2.46 2.83 3.20 3.54 3.83 4.06 4.22 4.29 4.25 4.09 3.83 3.51 3.18 2.85 2.52 2.17 1.78 1.34 0.89 0.46 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.13 0.13 0.13 0.16 0.22 0.30 0.38 0.45 0.52 0.59 0.67 0.73 0.79 0.85 0.91 1.00 1.12 1.23 1.34 1.42 1.51 1.63 1.83 2.11 2.46 2.83 3.20 3.54 3.83 4.06 4.22 4.29 4.25 4.09 3.83 3.51 3.18 2.85 2.52 2.17 1.78 1.34 0.89 0.46 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.02 0.11 0.13 0.13 0.13 0.16 0.22 0.30 0.38 0.45 0.52 0.59 0.67 0.73 72.5 + 75.0 0.90 0.94 0.96 0.98 1.01 1.04 1.06 1.07 1.08 1.11 1.21 1.40 1.67 2.00 2.35 2.70 3.05 3.41 3.75 4.04 4.23 4.29 4.19 3.99 3.72 3.45 3.19 2.93 2.63 2.25 1.80 1.30 0.82 0.43 0.16 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.21 0.39 0.48 0.43 0.28 0.12 0.04 0.07 0.19 0.33 0.42 0.44 0.40 0.37 0.37 0.41 0.49 0.57 0.65 0.72 0.79 0.85 0.90 0.94 0.96 0.98 1.01 1.04 1.06 1.07 1.08 1.11 1.21 1.40 1.67 2.00 2.35 2.70 3.05 3.41 3.75 4.04 4.23 4.29 4.19 3.99 3.72 3.45 3.19 2.93 2.63 2.25 1.80 1.30 0.82 0.43 0.16 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.21 0.39 0.48 0.43 0.28 0.12 0.04 0.07 0.19 0.33 0.42 0.44 0.40 0.37 0.37 0.41 0.49 0.57 0.65 0.72 0.79 0.85 0.90 75.0 + 77.5 1.04 1.07 1.08 1.07 1.04 0.99 0.91 0.83 0.77 0.78 0.87 1.05 1.29 1.54 1.79 2.05 2.34 2.70 3.10 3.48 3.78 3.93 3.91 3.76 3.57 3.39 3.24 3.10 2.90 2.59 2.17 1.69 1.21 0.83 0.57 0.41 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.15 0.21 0.38 0.61 0.83 0.94 0.88 0.71 0.52 0.41 0.44 0.58 0.73 0.81 0.79 0.69 0.59 0.54 0.56 0.63 0.72 0.81 0.88 0.94 1.00 1.04 1.07 1.08 1.07 1.04 0.99 0.91 0.83 0.77 0.78 0.87 1.05 1.29 1.54 1.79 2.05 2.34 2.70 3.10 3.48 3.78 3.93 3.91 3.76 3.57 3.39 3.24 3.10 2.90 2.59 2.17 1.69 1.21 0.83 0.57 0.41 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.15 0.21 0.38 0.61 0.83 0.94 0.88 0.71 0.52 0.41 0.44 0.58 0.73 0.81 0.79 0.69 0.59 0.54 0.56 0.63 0.72 0.81 0.88 0.94 1.00 1.04 77.5 + 80.0 1.12 1.15 1.16 1.14 1.07 0.94 0.78 0.63 0.53 0.52 0.63 0.81 1.01 1.17 1.29 1.40 1.57 1.87 2.27 2.71 3.07 3.26 3.28 3.18 3.05 2.97 2.96 2.95 2.88 2.67 2.34 1.93 1.55 1.25 1.07 0.96 0.84 0.66 0.39 0.08 0.00 0.00 0.00 0.02 0.23 0.37 0.43 0.45 0.53 0.73 1.00 1.25 1.37 1.30 1.08 0.85 0.72 0.76 0.91 1.07 1.13 1.06 0.90 0.72 0.62 0.62 0.70 0.82 0.92 1.00 1.05 1.09 1.12 1.15 1.16 1.14 1.07 0.94 0.78 0.63 0.53 0.52 0.63 0.81 1.01 1.17 1.29 1.40 1.57 1.87 2.27 2.71 3.07 3.26 3.28 3.18 3.05 2.97 2.96 2.95 2.88 2.67 2.34 1.93 1.55 1.25 1.07 0.96 0.84 0.66 0.39 0.08 0.00 0.00 0.00 0.02 0.23 0.37 0.43 0.45 0.53 0.73 1.00 1.25 1.37 1.30 1.08 0.85 0.72 0.76 0.91 1.07 1.13 1.06 0.90 0.72 0.62 0.62 0.70 0.82 0.92 1.00 1.05 1.09 1.12 80.0 + 82.5 1.15 1.17 1.19 1.17 1.07 0.89 0.66 0.45 0.33 0.34 0.49 0.70 0.87 0.94 0.90 0.85 0.89 1.11 1.49 1.93 2.30 2.48 2.49 2.38 2.30 2.30 2.41 2.54 2.59 2.50 2.27 1.98 1.74 1.60 1.56 1.56 1.48 1.27 0.93 0.53 0.22 0.08 0.14 0.33 0.53 0.64 0.66 0.66 0.73 0.94 1.25 1.52 1.63 1.53 1.26 0.99 0.85 0.90 1.08 1.26 1.31 1.19 0.96 0.72 0.58 0.58 0.69 0.85 0.99 1.07 1.11 1.13 1.15 1.17 1.19 1.17 1.07 0.89 0.66 0.45 0.33 0.34 0.49 0.70 0.87 0.94 0.90 0.85 0.89 1.11 1.49 1.93 2.30 2.48 2.49 2.38 2.30 2.30 2.41 2.54 2.59 2.50 2.27 1.98 1.74 1.60 1.56 1.56 1.48 1.27 0.93 0.53 0.22 0.08 0.14 0.33 0.53 0.64 0.66 0.66 0.73 0.94 1.25 1.52 1.63 1.53 1.26 0.99 0.85 0.90 1.08 1.26 1.31 1.19 0.96 0.72 0.58 0.58 0.69 0.85 0.99 1.07 1.11 1.13 1.15 82.5 + 85.0 1.13 1.16 1.19 1.17 1.05 0.84 0.56 0.31 0.19 0.24 0.44 0.68 0.84 0.84 0.69 0.50 0.43 0.57 0.92 1.34 1.67 1.81 1.76 1.62 1.53 1.59 1.78 2.00 2.14 2.14 2.01 1.85 1.77 1.82 1.96 2.09 2.09 1.87 1.48 1.02 0.65 0.47 0.51 0.66 0.80 0.85 0.79 0.73 0.77 0.97 1.28 1.56 1.65 1.51 1.20 0.90 0.76 0.84 1.06 1.27 1.32 1.17 0.89 0.60 0.45 0.47 0.63 0.85 1.02 1.11 1.13 1.12 1.13 1.16 1.19 1.17 1.05 0.84 0.56 0.31 0.19 0.24 0.44 0.68 0.84 0.84 0.69 0.50 0.43 0.57 0.92 1.34 1.67 1.81 1.76 1.62 1.53 1.59 1.78 2.00 2.14 2.14 2.01 1.85 1.77 1.82 1.96 2.09 2.09 1.87 1.48 1.02 0.65 0.47 0.51 0.66 0.80 0.85 0.79 0.73 0.77 0.97 1.28 1.56 1.65 1.51 1.20 0.90 0.76 0.84 1.06 1.27 1.32 1.17 0.89 0.60 0.45 0.47 0.63 0.85 1.02 1.11 1.13 1.12 1.13 85.0 + 87.5 1.10 1.13 1.16 1.15 1.03 0.80 0.50 0.24 0.13 0.22 0.47 0.75 0.92 0.87 0.64 0.37 0.24 0.35 0.67 1.06 1.35 1.41 1.28 1.08 0.98 1.05 1.27 1.52 1.69 1.72 1.64 1.58 1.65 1.87 2.18 2.45 2.52 2.33 1.92 1.45 1.06 0.87 0.88 0.99 1.05 1.00 0.85 0.71 0.71 0.89 1.18 1.43 1.49 1.31 0.97 0.66 0.53 0.65 0.91 1.15 1.21 1.05 0.74 0.44 0.29 0.34 0.55 0.81 1.02 1.13 1.14 1.11 1.10 1.13 1.16 1.15 1.03 0.80 0.50 0.24 0.13 0.22 0.47 0.75 0.92 0.87 0.64 0.37 0.24 0.35 0.67 1.06 1.35 1.41 1.28 1.08 0.98 1.05 1.27 1.52 1.69 1.72 1.64 1.58 1.65 1.87 2.18 2.45 2.52 2.33 1.92 1.45 1.06 0.87 0.88 0.99 1.05 1.00 0.85 0.71 0.71 0.89 1.18 1.43 1.49 1.31 0.97 0.66 0.53 0.65 0.91 1.15 1.21 1.05 0.74 0.44 0.29 0.34 0.55 0.81 1.02 1.13 1.14 1.11 1.10 87.5 + 90.0 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 90.0 + + 30.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.83 ) PHI2 = 30. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.0 + 2.5 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.20 2.05 1.84 1.60 1.36 1.14 0.92 0.72 0.55 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.06 0.84 0.65 0.49 0.39 0.36 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.50 0.65 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.20 2.05 1.84 1.60 1.36 1.14 0.92 0.72 0.55 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.38 0.43 0.55 0.72 0.93 1.15 1.37 1.61 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.06 0.84 0.65 0.49 0.39 0.36 0.37 2.5 + 5.0 0.36 0.40 0.38 0.27 0.10 0.00 0.00 0.00 0.08 0.28 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.66 1.92 2.14 2.26 2.26 2.15 1.94 1.70 1.44 1.19 0.95 0.76 0.61 0.53 0.51 0.50 0.46 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.39 0.41 0.43 0.49 0.62 0.80 1.02 1.25 1.50 1.77 2.05 2.28 2.42 2.43 2.29 2.04 1.73 1.42 1.15 0.90 0.69 0.50 0.36 0.30 0.30 0.36 0.40 0.38 0.27 0.10 0.00 0.00 0.00 0.08 0.28 0.43 0.50 0.48 0.42 0.38 0.40 0.51 0.67 0.88 1.12 1.38 1.66 1.92 2.14 2.26 2.26 2.15 1.94 1.70 1.44 1.19 0.95 0.76 0.61 0.53 0.51 0.50 0.46 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.39 0.41 0.43 0.49 0.62 0.80 1.02 1.25 1.50 1.77 2.05 2.28 2.42 2.43 2.29 2.04 1.73 1.42 1.15 0.90 0.69 0.50 0.36 0.30 0.30 0.36 5.0 + 7.5 0.38 0.49 0.54 0.51 0.40 0.28 0.20 0.23 0.35 0.50 0.63 0.67 0.61 0.50 0.39 0.34 0.38 0.51 0.71 0.96 1.23 1.53 1.82 2.07 2.25 2.30 2.23 2.06 1.81 1.53 1.26 1.02 0.84 0.73 0.69 0.70 0.71 0.68 0.56 0.39 0.20 0.07 0.06 0.15 0.31 0.47 0.58 0.62 0.63 0.64 0.71 0.84 1.02 1.23 1.46 1.73 2.01 2.30 2.52 2.63 2.57 2.36 2.03 1.65 1.29 0.98 0.73 0.52 0.36 0.26 0.23 0.28 0.38 0.49 0.54 0.51 0.40 0.28 0.20 0.23 0.35 0.50 0.63 0.67 0.61 0.50 0.39 0.34 0.38 0.51 0.71 0.96 1.23 1.53 1.82 2.07 2.25 2.30 2.23 2.06 1.81 1.53 1.26 1.02 0.84 0.73 0.69 0.70 0.71 0.68 0.56 0.39 0.20 0.07 0.06 0.15 0.31 0.47 0.58 0.62 0.63 0.64 0.71 0.84 1.02 1.23 1.46 1.73 2.01 2.30 2.52 2.63 2.57 2.36 2.03 1.65 1.29 0.98 0.73 0.52 0.36 0.26 0.23 0.28 0.38 7.5 + 10.0 0.45 0.59 0.70 0.73 0.68 0.58 0.50 0.49 0.57 0.69 0.80 0.84 0.78 0.64 0.49 0.38 0.36 0.45 0.63 0.86 1.12 1.41 1.69 1.96 2.17 2.28 2.26 2.13 1.89 1.61 1.33 1.10 0.95 0.90 0.93 0.99 1.03 1.01 0.91 0.76 0.62 0.55 0.58 0.71 0.86 0.99 1.05 1.06 1.05 1.06 1.13 1.25 1.40 1.57 1.78 2.02 2.28 2.54 2.73 2.77 2.65 2.35 1.95 1.53 1.14 0.83 0.60 0.43 0.31 0.25 0.25 0.32 0.45 0.59 0.70 0.73 0.68 0.58 0.50 0.49 0.57 0.69 0.80 0.84 0.78 0.64 0.49 0.38 0.36 0.45 0.63 0.86 1.12 1.41 1.69 1.96 2.17 2.28 2.26 2.13 1.89 1.61 1.33 1.10 0.95 0.90 0.93 0.99 1.03 1.01 0.91 0.76 0.62 0.55 0.58 0.71 0.86 0.99 1.05 1.06 1.05 1.06 1.13 1.25 1.40 1.57 1.78 2.02 2.28 2.54 2.73 2.77 2.65 2.35 1.95 1.53 1.14 0.83 0.60 0.43 0.31 0.25 0.25 0.32 0.45 10.0 + 12.5 0.55 0.69 0.82 0.88 0.87 0.79 0.70 0.65 0.68 0.77 0.89 0.96 0.93 0.81 0.65 0.51 0.46 0.51 0.65 0.84 1.07 1.30 1.55 1.80 2.02 2.17 2.22 2.13 1.93 1.66 1.38 1.17 1.07 1.07 1.17 1.29 1.38 1.38 1.30 1.18 1.09 1.07 1.16 1.32 1.48 1.59 1.62 1.60 1.57 1.58 1.64 1.74 1.85 1.98 2.13 2.30 2.51 2.70 2.81 2.78 2.57 2.22 1.79 1.35 0.98 0.71 0.53 0.42 0.35 0.33 0.35 0.42 0.55 0.69 0.82 0.88 0.87 0.79 0.70 0.65 0.68 0.77 0.89 0.96 0.93 0.81 0.65 0.51 0.46 0.51 0.65 0.84 1.07 1.30 1.55 1.80 2.02 2.17 2.22 2.13 1.93 1.66 1.38 1.17 1.07 1.07 1.17 1.29 1.38 1.38 1.30 1.18 1.09 1.07 1.16 1.32 1.48 1.59 1.62 1.60 1.57 1.58 1.64 1.74 1.85 1.98 2.13 2.30 2.51 2.70 2.81 2.78 2.57 2.22 1.79 1.35 0.98 0.71 0.53 0.42 0.35 0.33 0.35 0.42 0.55 12.5 + 15.0 0.61 0.74 0.86 0.94 0.95 0.89 0.78 0.69 0.67 0.74 0.86 0.97 1.01 0.94 0.80 0.66 0.59 0.61 0.71 0.87 1.04 1.22 1.41 1.63 1.85 2.03 2.12 2.09 1.92 1.67 1.41 1.21 1.13 1.18 1.32 1.49 1.61 1.65 1.59 1.50 1.45 1.48 1.61 1.80 1.97 2.06 2.07 2.03 1.98 1.99 2.05 2.14 2.23 2.31 2.40 2.50 2.61 2.70 2.72 2.60 2.33 1.95 1.52 1.12 0.80 0.59 0.47 0.43 0.42 0.43 0.46 0.52 0.61 0.74 0.86 0.94 0.95 0.89 0.78 0.69 0.67 0.74 0.86 0.97 1.01 0.94 0.80 0.66 0.59 0.61 0.71 0.87 1.04 1.22 1.41 1.63 1.85 2.03 2.12 2.09 1.92 1.67 1.41 1.21 1.13 1.18 1.32 1.49 1.61 1.65 1.59 1.50 1.45 1.48 1.61 1.80 1.97 2.06 2.07 2.03 1.98 1.99 2.05 2.14 2.23 2.31 2.40 2.50 2.61 2.70 2.72 2.60 2.33 1.95 1.52 1.12 0.80 0.59 0.47 0.43 0.42 0.43 0.46 0.52 0.61 15.0 + 17.5 0.59 0.69 0.82 0.92 0.96 0.91 0.78 0.65 0.58 0.61 0.73 0.88 0.97 0.96 0.87 0.75 0.67 0.67 0.75 0.87 1.00 1.14 1.29 1.48 1.69 1.90 2.02 2.03 1.90 1.66 1.40 1.20 1.11 1.16 1.31 1.50 1.65 1.71 1.69 1.63 1.60 1.67 1.82 2.02 2.18 2.27 2.25 2.19 2.13 2.14 2.20 2.30 2.39 2.46 2.50 2.54 2.55 2.54 2.45 2.25 1.95 1.57 1.18 0.84 0.58 0.43 0.37 0.38 0.41 0.45 0.49 0.53 0.59 0.69 0.82 0.92 0.96 0.91 0.78 0.65 0.58 0.61 0.73 0.88 0.97 0.96 0.87 0.75 0.67 0.67 0.75 0.87 1.00 1.14 1.29 1.48 1.69 1.90 2.02 2.03 1.90 1.66 1.40 1.20 1.11 1.16 1.31 1.50 1.65 1.71 1.69 1.63 1.60 1.67 1.82 2.02 2.18 2.27 2.25 2.19 2.13 2.14 2.20 2.30 2.39 2.46 2.50 2.54 2.55 2.54 2.45 2.25 1.95 1.57 1.18 0.84 0.58 0.43 0.37 0.38 0.41 0.45 0.49 0.53 0.59 17.5 + 20.0 0.47 0.56 0.69 0.83 0.91 0.89 0.76 0.59 0.46 0.44 0.53 0.69 0.82 0.87 0.82 0.72 0.65 0.64 0.71 0.82 0.94 1.06 1.20 1.38 1.59 1.80 1.94 1.97 1.86 1.64 1.38 1.15 1.03 1.04 1.16 1.34 1.50 1.59 1.60 1.58 1.59 1.67 1.83 2.02 2.18 2.25 2.22 2.13 2.06 2.06 2.13 2.24 2.35 2.42 2.44 2.42 2.35 2.23 2.04 1.79 1.48 1.13 0.80 0.53 0.33 0.22 0.20 0.23 0.29 0.35 0.39 0.42 0.47 0.56 0.69 0.83 0.91 0.89 0.76 0.59 0.46 0.44 0.53 0.69 0.82 0.87 0.82 0.72 0.65 0.64 0.71 0.82 0.94 1.06 1.20 1.38 1.59 1.80 1.94 1.97 1.86 1.64 1.38 1.15 1.03 1.04 1.16 1.34 1.50 1.59 1.60 1.58 1.59 1.67 1.83 2.02 2.18 2.25 2.22 2.13 2.06 2.06 2.13 2.24 2.35 2.42 2.44 2.42 2.35 2.23 2.04 1.79 1.48 1.13 0.80 0.53 0.33 0.22 0.20 0.23 0.29 0.35 0.39 0.42 0.47 20.0 + 22.5 0.28 0.37 0.52 0.70 0.83 0.85 0.74 0.55 0.37 0.28 0.33 0.48 0.63 0.71 0.69 0.61 0.55 0.54 0.60 0.72 0.85 0.99 1.13 1.31 1.51 1.71 1.86 1.90 1.80 1.60 1.34 1.10 0.94 0.90 0.97 1.12 1.27 1.40 1.47 1.51 1.56 1.67 1.84 2.03 2.19 2.25 2.21 2.11 2.01 1.98 2.03 2.13 2.24 2.31 2.31 2.22 2.06 1.85 1.59 1.29 0.99 0.70 0.44 0.23 0.07 0.00 0.00 0.00 0.07 0.14 0.20 0.23 0.28 0.37 0.52 0.70 0.83 0.85 0.74 0.55 0.37 0.28 0.33 0.48 0.63 0.71 0.69 0.61 0.55 0.54 0.60 0.72 0.85 0.99 1.13 1.31 1.51 1.71 1.86 1.90 1.80 1.60 1.34 1.10 0.94 0.90 0.97 1.12 1.27 1.40 1.47 1.51 1.56 1.67 1.84 2.03 2.19 2.25 2.21 2.11 2.01 1.98 2.03 2.13 2.24 2.31 2.31 2.22 2.06 1.85 1.59 1.29 0.99 0.70 0.44 0.23 0.07 0.00 0.00 0.00 0.07 0.14 0.20 0.23 0.28 22.5 + 25.0 0.08 0.17 0.33 0.54 0.72 0.79 0.71 0.51 0.30 0.17 0.18 0.30 0.45 0.55 0.55 0.49 0.43 0.43 0.49 0.61 0.76 0.91 1.06 1.22 1.41 1.58 1.71 1.75 1.68 1.51 1.29 1.07 0.90 0.83 0.85 0.96 1.12 1.29 1.43 1.56 1.69 1.85 2.05 2.26 2.44 2.52 2.49 2.39 2.26 2.17 2.16 2.20 2.26 2.28 2.21 2.05 1.80 1.49 1.16 0.84 0.57 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.17 0.33 0.54 0.72 0.79 0.71 0.51 0.30 0.17 0.18 0.30 0.45 0.55 0.55 0.49 0.43 0.43 0.49 0.61 0.76 0.91 1.06 1.22 1.41 1.58 1.71 1.75 1.68 1.51 1.29 1.07 0.90 0.83 0.85 0.96 1.12 1.29 1.43 1.56 1.69 1.85 2.05 2.26 2.44 2.52 2.49 2.39 2.26 2.17 2.16 2.20 2.26 2.28 2.21 2.05 1.80 1.49 1.16 0.84 0.57 0.34 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 25.0 + 27.5 0.00 0.01 0.15 0.37 0.57 0.68 0.64 0.46 0.25 0.10 0.09 0.19 0.34 0.44 0.47 0.43 0.37 0.36 0.42 0.53 0.67 0.81 0.95 1.08 1.22 1.35 1.45 1.48 1.44 1.35 1.21 1.06 0.94 0.87 0.88 0.97 1.13 1.33 1.56 1.78 2.01 2.25 2.51 2.78 3.00 3.13 3.15 3.06 2.91 2.75 2.63 2.56 2.50 2.42 2.25 1.98 1.62 1.22 0.83 0.51 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.15 0.37 0.57 0.68 0.64 0.46 0.25 0.10 0.09 0.19 0.34 0.44 0.47 0.43 0.37 0.36 0.42 0.53 0.67 0.81 0.95 1.08 1.22 1.35 1.45 1.48 1.44 1.35 1.21 1.06 0.94 0.87 0.88 0.97 1.13 1.33 1.56 1.78 2.01 2.25 2.51 2.78 3.00 3.13 3.15 3.06 2.91 2.75 2.63 2.56 2.50 2.42 2.25 1.98 1.62 1.22 0.83 0.51 0.26 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.00 0.00 0.01 0.19 0.40 0.53 0.53 0.40 0.21 0.08 0.05 0.15 0.29 0.41 0.45 0.42 0.37 0.36 0.39 0.48 0.58 0.68 0.77 0.86 0.95 1.03 1.09 1.12 1.12 1.11 1.08 1.06 1.02 1.00 1.01 1.09 1.24 1.47 1.76 2.08 2.40 2.72 3.05 3.38 3.67 3.89 3.98 3.93 3.77 3.55 3.31 3.10 2.90 2.68 2.39 2.01 1.55 1.07 0.64 0.31 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.19 0.40 0.53 0.53 0.40 0.21 0.08 0.05 0.15 0.29 0.41 0.45 0.42 0.37 0.36 0.39 0.48 0.58 0.68 0.77 0.86 0.95 1.03 1.09 1.12 1.12 1.11 1.08 1.06 1.02 1.00 1.01 1.09 1.24 1.47 1.76 2.08 2.40 2.72 3.05 3.38 3.67 3.89 3.98 3.93 3.77 3.55 3.31 3.10 2.90 2.68 2.39 2.01 1.55 1.07 0.64 0.31 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.03 0.22 0.37 0.41 0.33 0.19 0.08 0.05 0.14 0.27 0.40 0.46 0.45 0.42 0.39 0.39 0.43 0.47 0.52 0.56 0.60 0.64 0.68 0.70 0.72 0.76 0.83 0.92 1.02 1.10 1.14 1.16 1.22 1.34 1.57 1.88 2.24 2.62 2.99 3.37 3.74 4.10 4.39 4.57 4.59 4.45 4.20 3.88 3.56 3.24 2.91 2.52 2.06 1.55 1.03 0.59 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.22 0.37 0.41 0.33 0.19 0.08 0.05 0.14 0.27 0.40 0.46 0.45 0.42 0.39 0.39 0.43 0.47 0.52 0.56 0.60 0.64 0.68 0.70 0.72 0.76 0.83 0.92 1.02 1.10 1.14 1.16 1.22 1.34 1.57 1.88 2.24 2.62 2.99 3.37 3.74 4.10 4.39 4.57 4.59 4.45 4.20 3.88 3.56 3.24 2.91 2.52 2.06 1.55 1.03 0.59 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.07 0.23 0.32 0.29 0.19 0.10 0.07 0.12 0.24 0.36 0.44 0.47 0.45 0.42 0.39 0.37 0.36 0.35 0.36 0.38 0.39 0.40 0.40 0.41 0.46 0.58 0.75 0.94 1.10 1.19 1.22 1.24 1.31 1.49 1.77 2.12 2.49 2.86 3.23 3.60 3.97 4.31 4.56 4.66 4.57 4.33 4.00 3.63 3.27 2.90 2.50 2.05 1.55 1.05 0.63 0.33 0.16 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.07 0.23 0.32 0.29 0.19 0.10 0.07 0.12 0.24 0.36 0.44 0.47 0.45 0.42 0.39 0.37 0.36 0.35 0.36 0.38 0.39 0.40 0.40 0.41 0.46 0.58 0.75 0.94 1.10 1.19 1.22 1.24 1.31 1.49 1.77 2.12 2.49 2.86 3.23 3.60 3.97 4.31 4.56 4.66 4.57 4.33 4.00 3.63 3.27 2.90 2.50 2.05 1.55 1.05 0.63 0.33 0.16 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 35.0 + 37.5 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.28 0.22 0.12 0.07 0.09 0.17 0.29 0.40 0.46 0.47 0.44 0.38 0.31 0.25 0.22 0.23 0.25 0.28 0.29 0.27 0.26 0.30 0.41 0.61 0.84 1.03 1.13 1.14 1.10 1.11 1.21 1.43 1.72 2.03 2.32 2.60 2.90 3.23 3.56 3.84 4.00 3.98 3.81 3.52 3.19 2.87 2.57 2.25 1.89 1.48 1.06 0.69 0.43 0.28 0.21 0.15 0.07 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.09 0.00 0.00 0.00 0.00 0.00 0.14 0.26 0.28 0.22 0.12 0.07 0.09 0.17 0.29 0.40 0.46 0.47 0.44 0.38 0.31 0.25 0.22 0.23 0.25 0.28 0.29 0.27 0.26 0.30 0.41 0.61 0.84 1.03 1.13 1.14 1.10 1.11 1.21 1.43 1.72 2.03 2.32 2.60 2.90 3.23 3.56 3.84 4.00 3.98 3.81 3.52 3.19 2.87 2.57 2.25 1.89 1.48 1.06 0.69 0.43 0.28 0.21 0.15 0.07 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.09 0.00 37.5 + 40.0 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.29 0.25 0.14 0.05 0.02 0.08 0.20 0.34 0.45 0.49 0.47 0.39 0.28 0.20 0.17 0.20 0.27 0.33 0.35 0.32 0.28 0.27 0.36 0.53 0.73 0.90 0.98 0.94 0.86 0.81 0.85 0.99 1.20 1.41 1.57 1.72 1.88 2.10 2.37 2.64 2.83 2.88 2.77 2.57 2.33 2.12 1.95 1.78 1.57 1.30 1.00 0.71 0.50 0.38 0.33 0.29 0.23 0.12 0.00 0.00 0.00 0.00 0.09 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.29 0.25 0.14 0.05 0.02 0.08 0.20 0.34 0.45 0.49 0.47 0.39 0.28 0.20 0.17 0.20 0.27 0.33 0.35 0.32 0.28 0.27 0.36 0.53 0.73 0.90 0.98 0.94 0.86 0.81 0.85 0.99 1.20 1.41 1.57 1.72 1.88 2.10 2.37 2.64 2.83 2.88 2.77 2.57 2.33 2.12 1.95 1.78 1.57 1.30 1.00 0.71 0.50 0.38 0.33 0.29 0.23 0.12 0.00 0.00 0.00 0.00 0.09 0.14 0.10 0.00 40.0 + 42.5 0.01 0.00 0.00 0.00 0.00 0.06 0.22 0.29 0.26 0.14 0.01 0.00 0.00 0.11 0.30 0.46 0.54 0.52 0.42 0.29 0.20 0.19 0.26 0.38 0.47 0.50 0.46 0.39 0.35 0.39 0.51 0.67 0.78 0.80 0.72 0.60 0.53 0.54 0.65 0.78 0.88 0.91 0.89 0.89 0.97 1.15 1.38 1.57 1.66 1.61 1.47 1.33 1.23 1.20 1.19 1.15 1.03 0.85 0.66 0.50 0.42 0.40 0.40 0.37 0.29 0.18 0.09 0.05 0.08 0.13 0.16 0.12 0.01 0.00 0.00 0.00 0.00 0.06 0.22 0.29 0.26 0.14 0.01 0.00 0.00 0.11 0.30 0.46 0.54 0.52 0.42 0.29 0.20 0.19 0.26 0.38 0.47 0.50 0.46 0.39 0.35 0.39 0.51 0.67 0.78 0.80 0.72 0.60 0.53 0.54 0.65 0.78 0.88 0.91 0.89 0.89 0.97 1.15 1.38 1.57 1.66 1.61 1.47 1.33 1.23 1.20 1.19 1.15 1.03 0.85 0.66 0.50 0.42 0.40 0.40 0.37 0.29 0.18 0.09 0.05 0.08 0.13 0.16 0.12 0.01 42.5 + 45.0 0.07 0.00 0.00 0.00 0.00 0.01 0.17 0.26 0.23 0.10 0.00 0.00 0.00 0.06 0.30 0.51 0.62 0.59 0.47 0.33 0.24 0.26 0.37 0.51 0.63 0.65 0.60 0.51 0.45 0.46 0.55 0.65 0.70 0.65 0.54 0.41 0.35 0.39 0.49 0.59 0.61 0.51 0.35 0.21 0.18 0.27 0.45 0.62 0.71 0.68 0.58 0.49 0.46 0.52 0.63 0.71 0.72 0.65 0.53 0.43 0.39 0.41 0.45 0.48 0.44 0.35 0.25 0.18 0.17 0.19 0.21 0.17 0.07 0.00 0.00 0.00 0.00 0.01 0.17 0.26 0.23 0.10 0.00 0.00 0.00 0.06 0.30 0.51 0.62 0.59 0.47 0.33 0.24 0.26 0.37 0.51 0.63 0.65 0.60 0.51 0.45 0.46 0.55 0.65 0.70 0.65 0.54 0.41 0.35 0.39 0.49 0.59 0.61 0.51 0.35 0.21 0.18 0.27 0.45 0.62 0.71 0.68 0.58 0.49 0.46 0.52 0.63 0.71 0.72 0.65 0.53 0.43 0.39 0.41 0.45 0.48 0.44 0.35 0.25 0.18 0.17 0.19 0.21 0.17 0.07 45.0 + 47.5 0.19 0.05 0.00 0.00 0.00 0.00 0.12 0.21 0.18 0.05 0.00 0.00 0.00 0.05 0.32 0.56 0.68 0.64 0.50 0.34 0.27 0.31 0.45 0.61 0.72 0.72 0.65 0.56 0.52 0.55 0.63 0.69 0.67 0.57 0.42 0.31 0.29 0.38 0.52 0.62 0.59 0.42 0.17 0.00 0.00 0.00 0.01 0.17 0.25 0.21 0.10 0.00 0.00 0.07 0.22 0.37 0.46 0.46 0.40 0.34 0.33 0.38 0.47 0.54 0.54 0.48 0.37 0.29 0.25 0.27 0.29 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.12 0.21 0.18 0.05 0.00 0.00 0.00 0.05 0.32 0.56 0.68 0.64 0.50 0.34 0.27 0.31 0.45 0.61 0.72 0.72 0.65 0.56 0.52 0.55 0.63 0.69 0.67 0.57 0.42 0.31 0.29 0.38 0.52 0.62 0.59 0.42 0.17 0.00 0.00 0.00 0.01 0.17 0.25 0.21 0.10 0.00 0.00 0.07 0.22 0.37 0.46 0.46 0.40 0.34 0.33 0.38 0.47 0.54 0.54 0.48 0.37 0.29 0.25 0.27 0.29 0.28 0.19 47.5 + 50.0 0.36 0.22 0.05 0.00 0.00 0.00 0.10 0.18 0.17 0.05 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.62 0.46 0.31 0.25 0.33 0.49 0.65 0.73 0.71 0.63 0.56 0.56 0.64 0.73 0.77 0.71 0.56 0.38 0.26 0.28 0.42 0.61 0.72 0.69 0.49 0.21 0.00 0.00 0.00 0.00 0.15 0.22 0.17 0.04 0.00 0.00 0.00 0.04 0.20 0.31 0.34 0.32 0.29 0.30 0.37 0.47 0.56 0.58 0.52 0.42 0.33 0.30 0.34 0.40 0.42 0.36 0.22 0.05 0.00 0.00 0.00 0.10 0.18 0.17 0.05 0.00 0.00 0.00 0.08 0.36 0.59 0.69 0.62 0.46 0.31 0.25 0.33 0.49 0.65 0.73 0.71 0.63 0.56 0.56 0.64 0.73 0.77 0.71 0.56 0.38 0.26 0.28 0.42 0.61 0.72 0.69 0.49 0.21 0.00 0.00 0.00 0.00 0.15 0.22 0.17 0.04 0.00 0.00 0.00 0.04 0.20 0.31 0.34 0.32 0.29 0.30 0.37 0.47 0.56 0.58 0.52 0.42 0.33 0.30 0.34 0.40 0.42 0.36 50.0 + 52.5 0.55 0.43 0.25 0.09 0.03 0.08 0.18 0.26 0.25 0.14 0.00 0.00 0.00 0.17 0.42 0.61 0.66 0.56 0.38 0.24 0.22 0.33 0.50 0.66 0.71 0.67 0.59 0.55 0.61 0.73 0.85 0.88 0.78 0.57 0.36 0.24 0.27 0.43 0.63 0.76 0.74 0.57 0.32 0.10 0.00 0.05 0.20 0.36 0.43 0.38 0.24 0.08 0.00 0.00 0.07 0.20 0.30 0.35 0.34 0.32 0.33 0.39 0.47 0.53 0.54 0.47 0.37 0.30 0.29 0.37 0.48 0.56 0.55 0.43 0.25 0.09 0.03 0.08 0.18 0.26 0.25 0.14 0.00 0.00 0.00 0.17 0.42 0.61 0.66 0.56 0.38 0.24 0.22 0.33 0.50 0.66 0.71 0.67 0.59 0.55 0.61 0.73 0.85 0.88 0.78 0.57 0.36 0.24 0.27 0.43 0.63 0.76 0.74 0.57 0.32 0.10 0.00 0.05 0.20 0.36 0.43 0.38 0.24 0.08 0.00 0.00 0.07 0.20 0.30 0.35 0.34 0.32 0.33 0.39 0.47 0.53 0.54 0.47 0.37 0.30 0.29 0.37 0.48 0.56 0.55 52.5 + 55.0 0.71 0.63 0.48 0.33 0.27 0.30 0.40 0.48 0.47 0.37 0.24 0.16 0.20 0.35 0.54 0.66 0.65 0.51 0.33 0.21 0.22 0.36 0.55 0.69 0.72 0.66 0.58 0.58 0.67 0.83 0.96 0.97 0.83 0.59 0.34 0.20 0.21 0.36 0.55 0.68 0.68 0.55 0.37 0.21 0.17 0.25 0.41 0.57 0.66 0.64 0.52 0.37 0.25 0.21 0.24 0.33 0.41 0.45 0.45 0.43 0.42 0.43 0.46 0.47 0.43 0.35 0.25 0.19 0.22 0.35 0.52 0.66 0.71 0.63 0.48 0.33 0.27 0.30 0.40 0.48 0.47 0.37 0.24 0.16 0.20 0.35 0.54 0.66 0.65 0.51 0.33 0.21 0.22 0.36 0.55 0.69 0.72 0.66 0.58 0.58 0.67 0.83 0.96 0.97 0.83 0.59 0.34 0.20 0.21 0.36 0.55 0.68 0.68 0.55 0.37 0.21 0.17 0.25 0.41 0.57 0.66 0.64 0.52 0.37 0.25 0.21 0.24 0.33 0.41 0.45 0.45 0.43 0.42 0.43 0.46 0.47 0.43 0.35 0.25 0.19 0.22 0.35 0.52 0.66 0.71 55.0 + 57.5 0.80 0.79 0.70 0.60 0.56 0.61 0.72 0.80 0.81 0.72 0.60 0.52 0.54 0.65 0.77 0.83 0.77 0.60 0.42 0.32 0.35 0.50 0.68 0.79 0.80 0.72 0.64 0.64 0.74 0.89 1.00 0.98 0.82 0.56 0.30 0.14 0.12 0.23 0.38 0.49 0.52 0.46 0.36 0.28 0.28 0.37 0.51 0.67 0.77 0.79 0.74 0.63 0.52 0.45 0.44 0.48 0.53 0.56 0.56 0.53 0.49 0.46 0.42 0.37 0.29 0.18 0.09 0.05 0.12 0.28 0.51 0.70 0.80 0.79 0.70 0.60 0.56 0.61 0.72 0.80 0.81 0.72 0.60 0.52 0.54 0.65 0.77 0.83 0.77 0.60 0.42 0.32 0.35 0.50 0.68 0.79 0.80 0.72 0.64 0.64 0.74 0.89 1.00 0.98 0.82 0.56 0.30 0.14 0.12 0.23 0.38 0.49 0.52 0.46 0.36 0.28 0.28 0.37 0.51 0.67 0.77 0.79 0.74 0.63 0.52 0.45 0.44 0.48 0.53 0.56 0.56 0.53 0.49 0.46 0.42 0.37 0.29 0.18 0.09 0.05 0.12 0.28 0.51 0.70 0.80 57.5 + 60.0 0.82 0.86 0.84 0.80 0.83 0.92 1.05 1.16 1.18 1.12 1.03 0.97 0.98 1.06 1.15 1.16 1.08 0.91 0.75 0.66 0.69 0.81 0.94 1.01 0.97 0.87 0.77 0.74 0.79 0.89 0.94 0.89 0.71 0.45 0.21 0.06 0.02 0.08 0.19 0.29 0.34 0.35 0.34 0.33 0.35 0.42 0.51 0.62 0.72 0.78 0.79 0.75 0.67 0.60 0.55 0.55 0.57 0.59 0.58 0.55 0.49 0.42 0.34 0.24 0.14 0.03 0.00 0.00 0.03 0.21 0.45 0.68 0.82 0.86 0.84 0.80 0.83 0.92 1.05 1.16 1.18 1.12 1.03 0.97 0.98 1.06 1.15 1.16 1.08 0.91 0.75 0.66 0.69 0.81 0.94 1.01 0.97 0.87 0.77 0.74 0.79 0.89 0.94 0.89 0.71 0.45 0.21 0.06 0.02 0.08 0.19 0.29 0.34 0.35 0.34 0.33 0.35 0.42 0.51 0.62 0.72 0.78 0.79 0.75 0.67 0.60 0.55 0.55 0.57 0.59 0.58 0.55 0.49 0.42 0.34 0.24 0.14 0.03 0.00 0.00 0.03 0.21 0.45 0.68 0.82 60.0 + 62.5 0.76 0.84 0.87 0.90 0.99 1.14 1.31 1.44 1.49 1.47 1.42 1.39 1.43 1.52 1.62 1.65 1.59 1.46 1.33 1.25 1.26 1.32 1.37 1.36 1.26 1.10 0.95 0.86 0.84 0.84 0.81 0.70 0.51 0.28 0.08 0.00 0.00 0.00 0.03 0.11 0.19 0.26 0.32 0.36 0.39 0.40 0.42 0.46 0.53 0.61 0.67 0.69 0.66 0.58 0.51 0.46 0.45 0.46 0.47 0.44 0.38 0.30 0.21 0.11 0.02 0.00 0.00 0.00 0.00 0.17 0.40 0.61 0.76 0.84 0.87 0.90 0.99 1.14 1.31 1.44 1.49 1.47 1.42 1.39 1.43 1.52 1.62 1.65 1.59 1.46 1.33 1.25 1.26 1.32 1.37 1.36 1.26 1.10 0.95 0.86 0.84 0.84 0.81 0.70 0.51 0.28 0.08 0.00 0.00 0.00 0.03 0.11 0.19 0.26 0.32 0.36 0.39 0.40 0.42 0.46 0.53 0.61 0.67 0.69 0.66 0.58 0.51 0.46 0.45 0.46 0.47 0.44 0.38 0.30 0.21 0.11 0.02 0.00 0.00 0.00 0.00 0.17 0.40 0.61 0.76 62.5 + 65.0 0.66 0.74 0.80 0.89 1.03 1.22 1.42 1.58 1.66 1.68 1.67 1.70 1.79 1.94 2.09 2.20 2.22 2.17 2.10 2.05 2.03 2.02 1.98 1.87 1.69 1.47 1.25 1.07 0.94 0.82 0.67 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.27 0.34 0.36 0.33 0.27 0.23 0.26 0.33 0.43 0.49 0.48 0.42 0.32 0.24 0.21 0.22 0.24 0.24 0.21 0.15 0.08 0.02 0.00 0.00 0.00 0.00 0.03 0.17 0.35 0.53 0.66 0.74 0.80 0.89 1.03 1.22 1.42 1.58 1.66 1.68 1.67 1.70 1.79 1.94 2.09 2.20 2.22 2.17 2.10 2.05 2.03 2.02 1.98 1.87 1.69 1.47 1.25 1.07 0.94 0.82 0.67 0.49 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.27 0.34 0.36 0.33 0.27 0.23 0.26 0.33 0.43 0.49 0.48 0.42 0.32 0.24 0.21 0.22 0.24 0.24 0.21 0.15 0.08 0.02 0.00 0.00 0.00 0.00 0.03 0.17 0.35 0.53 0.66 65.0 + 67.5 0.55 0.62 0.69 0.79 0.96 1.18 1.40 1.57 1.67 1.71 1.75 1.83 2.00 2.22 2.46 2.67 2.81 2.88 2.91 2.92 2.91 2.86 2.75 2.56 2.29 2.00 1.70 1.44 1.19 0.94 0.68 0.40 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.24 0.26 0.19 0.08 0.00 0.00 0.03 0.14 0.23 0.25 0.20 0.09 0.00 0.00 0.00 0.02 0.06 0.07 0.05 0.03 0.00 0.00 0.00 0.02 0.05 0.12 0.22 0.34 0.46 0.55 0.62 0.69 0.79 0.96 1.18 1.40 1.57 1.67 1.71 1.75 1.83 2.00 2.22 2.46 2.67 2.81 2.88 2.91 2.92 2.91 2.86 2.75 2.56 2.29 2.00 1.70 1.44 1.19 0.94 0.68 0.40 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.24 0.26 0.19 0.08 0.00 0.00 0.03 0.14 0.23 0.25 0.20 0.09 0.00 0.00 0.00 0.02 0.06 0.07 0.05 0.03 0.00 0.00 0.00 0.02 0.05 0.12 0.22 0.34 0.46 0.55 67.5 + 70.0 0.49 0.54 0.59 0.70 0.87 1.08 1.29 1.45 1.54 1.59 1.65 1.79 2.01 2.32 2.65 2.95 3.22 3.42 3.58 3.70 3.76 3.73 3.59 3.35 3.03 2.68 2.34 2.00 1.66 1.30 0.92 0.54 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.10 0.10 0.10 0.11 0.14 0.17 0.20 0.25 0.31 0.38 0.44 0.49 0.54 0.59 0.70 0.87 1.08 1.29 1.45 1.54 1.59 1.65 1.79 2.01 2.32 2.65 2.95 3.22 3.42 3.58 3.70 3.76 3.73 3.59 3.35 3.03 2.68 2.34 2.00 1.66 1.30 0.92 0.54 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.10 0.10 0.10 0.11 0.14 0.17 0.20 0.25 0.31 0.38 0.44 0.49 70.0 + 72.5 0.50 0.53 0.57 0.66 0.81 0.99 1.15 1.27 1.33 1.37 1.45 1.62 1.88 2.23 2.61 2.99 3.34 3.67 3.97 4.23 4.40 4.45 4.34 4.10 3.77 3.41 3.04 2.68 2.29 1.86 1.38 0.90 0.48 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.17 0.07 0.00 0.00 0.00 0.07 0.19 0.27 0.30 0.30 0.29 0.29 0.31 0.33 0.35 0.38 0.41 0.45 0.48 0.50 0.53 0.57 0.66 0.81 0.99 1.15 1.27 1.33 1.37 1.45 1.62 1.88 2.23 2.61 2.99 3.34 3.67 3.97 4.23 4.40 4.45 4.34 4.10 3.77 3.41 3.04 2.68 2.29 1.86 1.38 0.90 0.48 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.20 0.17 0.07 0.00 0.00 0.00 0.07 0.19 0.27 0.30 0.30 0.29 0.29 0.31 0.33 0.35 0.38 0.41 0.45 0.48 0.50 72.5 + 75.0 0.57 0.59 0.62 0.69 0.81 0.93 1.03 1.08 1.09 1.11 1.20 1.38 1.66 2.01 2.38 2.75 3.14 3.54 3.97 4.38 4.68 4.83 4.79 4.59 4.28 3.95 3.62 3.28 2.91 2.46 1.94 1.40 0.91 0.54 0.31 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.04 0.00 0.00 0.06 0.25 0.43 0.53 0.51 0.39 0.26 0.20 0.25 0.37 0.51 0.60 0.61 0.56 0.50 0.46 0.45 0.46 0.48 0.51 0.53 0.55 0.57 0.57 0.59 0.62 0.69 0.81 0.93 1.03 1.08 1.09 1.11 1.20 1.38 1.66 2.01 2.38 2.75 3.14 3.54 3.97 4.38 4.68 4.83 4.79 4.59 4.28 3.95 3.62 3.28 2.91 2.46 1.94 1.40 0.91 0.54 0.31 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.04 0.00 0.00 0.06 0.25 0.43 0.53 0.51 0.39 0.26 0.20 0.25 0.37 0.51 0.60 0.61 0.56 0.50 0.46 0.45 0.46 0.48 0.51 0.53 0.55 0.57 0.57 75.0 + 77.5 0.66 0.67 0.71 0.76 0.83 0.88 0.89 0.87 0.83 0.84 0.93 1.13 1.41 1.71 2.00 2.30 2.64 3.06 3.57 4.08 4.51 4.76 4.78 4.62 4.36 4.08 3.83 3.59 3.29 2.89 2.39 1.85 1.35 0.98 0.76 0.64 0.55 0.40 0.18 0.00 0.00 0.00 0.00 0.06 0.26 0.37 0.37 0.33 0.35 0.48 0.70 0.92 1.02 0.98 0.81 0.63 0.54 0.58 0.71 0.86 0.93 0.90 0.78 0.65 0.56 0.52 0.53 0.57 0.60 0.63 0.65 0.66 0.66 0.67 0.71 0.76 0.83 0.88 0.89 0.87 0.83 0.84 0.93 1.13 1.41 1.71 2.00 2.30 2.64 3.06 3.57 4.08 4.51 4.76 4.78 4.62 4.36 4.08 3.83 3.59 3.29 2.89 2.39 1.85 1.35 0.98 0.76 0.64 0.55 0.40 0.18 0.00 0.00 0.00 0.00 0.06 0.26 0.37 0.37 0.33 0.35 0.48 0.70 0.92 1.02 0.98 0.81 0.63 0.54 0.58 0.71 0.86 0.93 0.90 0.78 0.65 0.56 0.52 0.53 0.57 0.60 0.63 0.65 0.66 0.66 77.5 + 80.0 0.72 0.73 0.77 0.81 0.83 0.81 0.73 0.62 0.54 0.55 0.67 0.89 1.15 1.37 1.54 1.70 1.94 2.32 2.84 3.42 3.92 4.22 4.27 4.13 3.91 3.71 3.57 3.46 3.28 2.99 2.57 2.09 1.67 1.38 1.23 1.17 1.09 0.92 0.63 0.31 0.08 0.01 0.14 0.38 0.61 0.73 0.74 0.71 0.74 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.76 0.79 0.94 1.09 1.14 1.05 0.86 0.66 0.52 0.48 0.51 0.59 0.65 0.70 0.71 0.71 0.72 0.73 0.77 0.81 0.83 0.81 0.73 0.62 0.54 0.55 0.67 0.89 1.15 1.37 1.54 1.70 1.94 2.32 2.84 3.42 3.92 4.22 4.27 4.13 3.91 3.71 3.57 3.46 3.28 2.99 2.57 2.09 1.67 1.38 1.23 1.17 1.09 0.92 0.63 0.31 0.08 0.01 0.14 0.38 0.61 0.73 0.74 0.71 0.74 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.76 0.79 0.94 1.09 1.14 1.05 0.86 0.66 0.52 0.48 0.51 0.59 0.65 0.70 0.71 0.71 0.72 80.0 + 82.5 0.71 0.73 0.77 0.80 0.78 0.68 0.52 0.35 0.23 0.25 0.42 0.67 0.90 1.04 1.07 1.08 1.18 1.48 1.98 2.57 3.08 3.38 3.41 3.26 3.07 2.94 2.92 2.95 2.91 2.74 2.43 2.07 1.78 1.63 1.62 1.66 1.63 1.45 1.12 0.74 0.46 0.37 0.49 0.72 0.94 1.03 1.00 0.95 0.98 1.15 1.43 1.67 1.74 1.58 1.26 0.93 0.76 0.79 0.95 1.11 1.15 1.01 0.76 0.50 0.34 0.32 0.41 0.54 0.65 0.71 0.72 0.71 0.71 0.73 0.77 0.80 0.78 0.68 0.52 0.35 0.23 0.25 0.42 0.67 0.90 1.04 1.07 1.08 1.18 1.48 1.98 2.57 3.08 3.38 3.41 3.26 3.07 2.94 2.92 2.95 2.91 2.74 2.43 2.07 1.78 1.63 1.62 1.66 1.63 1.45 1.12 0.74 0.46 0.37 0.49 0.72 0.94 1.03 1.00 0.95 0.98 1.15 1.43 1.67 1.74 1.58 1.26 0.93 0.76 0.79 0.95 1.11 1.15 1.01 0.76 0.50 0.34 0.32 0.41 0.54 0.65 0.71 0.72 0.71 0.71 82.5 + 85.0 0.65 0.68 0.72 0.74 0.69 0.53 0.30 0.07 0.00 0.00 0.20 0.48 0.70 0.77 0.67 0.54 0.52 0.75 1.22 1.78 2.26 2.50 2.48 2.29 2.11 2.05 2.13 2.27 2.35 2.28 2.08 1.85 1.71 1.73 1.88 2.05 2.08 1.90 1.54 1.13 0.81 0.70 0.80 1.00 1.16 1.18 1.09 0.98 1.00 1.19 1.47 1.71 1.73 1.50 1.10 0.73 0.54 0.58 0.78 0.97 1.00 0.83 0.53 0.24 0.09 0.10 0.25 0.45 0.61 0.68 0.69 0.66 0.65 0.68 0.72 0.74 0.69 0.53 0.30 0.07 0.00 0.00 0.20 0.48 0.70 0.77 0.67 0.54 0.52 0.75 1.22 1.78 2.26 2.50 2.48 2.29 2.11 2.05 2.13 2.27 2.35 2.28 2.08 1.85 1.71 1.73 1.88 2.05 2.08 1.90 1.54 1.13 0.81 0.70 0.80 1.00 1.16 1.18 1.09 0.98 1.00 1.19 1.47 1.71 1.73 1.50 1.10 0.73 0.54 0.58 0.78 0.97 1.00 0.83 0.53 0.24 0.09 0.10 0.25 0.45 0.61 0.68 0.69 0.66 0.65 85.0 + 87.5 0.58 0.61 0.66 0.67 0.59 0.40 0.13 0.00 0.00 0.00 0.08 0.39 0.60 0.61 0.43 0.21 0.12 0.31 0.74 1.27 1.70 1.86 1.76 1.53 1.35 1.33 1.48 1.69 1.82 1.80 1.67 1.54 1.53 1.71 2.01 2.28 2.37 2.21 1.84 1.41 1.09 0.98 1.06 1.21 1.30 1.23 1.06 0.92 0.92 1.11 1.40 1.60 1.57 1.27 0.82 0.42 0.23 0.31 0.55 0.76 0.79 0.60 0.28 0.00 0.00 0.00 0.12 0.37 0.56 0.64 0.64 0.60 0.58 0.61 0.66 0.67 0.59 0.40 0.13 0.00 0.00 0.00 0.08 0.39 0.60 0.61 0.43 0.21 0.12 0.31 0.74 1.27 1.70 1.86 1.76 1.53 1.35 1.33 1.48 1.69 1.82 1.80 1.67 1.54 1.53 1.71 2.01 2.28 2.37 2.21 1.84 1.41 1.09 0.98 1.06 1.21 1.30 1.23 1.06 0.92 0.92 1.11 1.40 1.60 1.57 1.27 0.82 0.42 0.23 0.31 0.55 0.76 0.79 0.60 0.28 0.00 0.00 0.00 0.12 0.37 0.56 0.64 0.64 0.60 0.58 87.5 + 90.0 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 90.0 + + 32.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.45 ) PHI2 = 33. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.0 + 2.5 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.34 0.37 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.09 2.24 2.29 2.21 2.02 1.78 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 2.5 + 5.0 0.42 0.39 0.28 0.11 0.00 0.00 0.00 0.09 0.29 0.44 0.50 0.48 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.93 2.15 2.28 2.28 2.17 1.96 1.71 1.45 1.20 0.97 0.77 0.62 0.54 0.51 0.50 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.17 0.32 0.40 0.43 0.45 0.51 0.63 0.81 1.02 1.26 1.51 1.78 2.05 2.28 2.41 2.42 2.28 2.03 1.72 1.42 1.14 0.90 0.68 0.50 0.37 0.30 0.32 0.37 0.42 0.39 0.28 0.11 0.00 0.00 0.00 0.09 0.29 0.44 0.50 0.48 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.93 2.15 2.28 2.28 2.17 1.96 1.71 1.45 1.20 0.97 0.77 0.62 0.54 0.51 0.50 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.17 0.32 0.40 0.43 0.45 0.51 0.63 0.81 1.02 1.26 1.51 1.78 2.05 2.28 2.41 2.42 2.28 2.03 1.72 1.42 1.14 0.90 0.68 0.50 0.37 0.30 0.32 0.37 0.42 5.0 + 7.5 0.53 0.58 0.54 0.43 0.31 0.24 0.27 0.38 0.54 0.65 0.68 0.62 0.50 0.39 0.35 0.40 0.53 0.72 0.97 1.24 1.54 1.84 2.11 2.29 2.35 2.28 2.10 1.86 1.58 1.30 1.07 0.88 0.77 0.73 0.73 0.74 0.70 0.59 0.42 0.23 0.11 0.08 0.17 0.33 0.49 0.61 0.65 0.66 0.68 0.75 0.87 1.04 1.25 1.48 1.75 2.03 2.31 2.53 2.62 2.56 2.34 2.02 1.64 1.29 0.98 0.73 0.53 0.37 0.28 0.26 0.31 0.42 0.53 0.58 0.54 0.43 0.31 0.24 0.27 0.38 0.54 0.65 0.68 0.62 0.50 0.39 0.35 0.40 0.53 0.72 0.97 1.24 1.54 1.84 2.11 2.29 2.35 2.28 2.10 1.86 1.58 1.30 1.07 0.88 0.77 0.73 0.73 0.74 0.70 0.59 0.42 0.23 0.11 0.08 0.17 0.33 0.49 0.61 0.65 0.66 0.68 0.75 0.87 1.04 1.25 1.48 1.75 2.03 2.31 2.53 2.62 2.56 2.34 2.02 1.64 1.29 0.98 0.73 0.53 0.37 0.28 0.26 0.31 0.42 0.53 7.5 + 10.0 0.67 0.77 0.79 0.74 0.65 0.58 0.58 0.65 0.77 0.86 0.89 0.82 0.67 0.52 0.42 0.40 0.49 0.66 0.89 1.15 1.44 1.74 2.01 2.24 2.36 2.35 2.21 1.98 1.70 1.43 1.20 1.05 0.99 1.01 1.06 1.10 1.08 0.99 0.85 0.71 0.64 0.66 0.77 0.92 1.05 1.12 1.13 1.12 1.13 1.19 1.29 1.44 1.61 1.82 2.06 2.32 2.57 2.74 2.78 2.64 2.34 1.95 1.53 1.16 0.86 0.63 0.46 0.35 0.30 0.31 0.40 0.53 0.67 0.77 0.79 0.74 0.65 0.58 0.58 0.65 0.77 0.86 0.89 0.82 0.67 0.52 0.42 0.40 0.49 0.66 0.89 1.15 1.44 1.74 2.01 2.24 2.36 2.35 2.21 1.98 1.70 1.43 1.20 1.05 0.99 1.01 1.06 1.10 1.08 0.99 0.85 0.71 0.64 0.66 0.77 0.92 1.05 1.12 1.13 1.12 1.13 1.19 1.29 1.44 1.61 1.82 2.06 2.32 2.57 2.74 2.78 2.64 2.34 1.95 1.53 1.16 0.86 0.63 0.46 0.35 0.30 0.31 0.40 0.53 0.67 10.0 + 12.5 0.82 0.93 0.99 0.97 0.90 0.82 0.78 0.81 0.90 1.00 1.05 1.01 0.88 0.72 0.59 0.54 0.58 0.71 0.90 1.12 1.36 1.61 1.88 2.12 2.29 2.34 2.26 2.06 1.80 1.53 1.33 1.22 1.22 1.31 1.42 1.50 1.51 1.45 1.34 1.25 1.23 1.30 1.44 1.59 1.69 1.73 1.71 1.68 1.68 1.72 1.80 1.91 2.03 2.18 2.36 2.57 2.75 2.84 2.79 2.58 2.23 1.80 1.39 1.03 0.77 0.60 0.49 0.43 0.42 0.46 0.54 0.67 0.82 0.93 0.99 0.97 0.90 0.82 0.78 0.81 0.90 1.00 1.05 1.01 0.88 0.72 0.59 0.54 0.58 0.71 0.90 1.12 1.36 1.61 1.88 2.12 2.29 2.34 2.26 2.06 1.80 1.53 1.33 1.22 1.22 1.31 1.42 1.50 1.51 1.45 1.34 1.25 1.23 1.30 1.44 1.59 1.69 1.73 1.71 1.68 1.68 1.72 1.80 1.91 2.03 2.18 2.36 2.57 2.75 2.84 2.79 2.58 2.23 1.80 1.39 1.03 0.77 0.60 0.49 0.43 0.42 0.46 0.54 0.67 0.82 12.5 + 15.0 0.89 1.01 1.08 1.09 1.03 0.94 0.86 0.85 0.91 1.01 1.10 1.11 1.04 0.91 0.77 0.70 0.71 0.80 0.94 1.10 1.28 1.48 1.71 1.96 2.16 2.26 2.24 2.08 1.84 1.59 1.40 1.32 1.36 1.49 1.66 1.78 1.83 1.79 1.72 1.67 1.69 1.81 1.97 2.12 2.21 2.21 2.17 2.12 2.10 2.14 2.21 2.28 2.37 2.46 2.57 2.69 2.77 2.76 2.63 2.35 1.97 1.56 1.18 0.89 0.69 0.59 0.55 0.54 0.56 0.60 0.67 0.77 0.89 1.01 1.08 1.09 1.03 0.94 0.86 0.85 0.91 1.01 1.10 1.11 1.04 0.91 0.77 0.70 0.71 0.80 0.94 1.10 1.28 1.48 1.71 1.96 2.16 2.26 2.24 2.08 1.84 1.59 1.40 1.32 1.36 1.49 1.66 1.78 1.83 1.79 1.72 1.67 1.69 1.81 1.97 2.12 2.21 2.21 2.17 2.12 2.10 2.14 2.21 2.28 2.37 2.46 2.57 2.69 2.77 2.76 2.63 2.35 1.97 1.56 1.18 0.89 0.69 0.59 0.55 0.54 0.56 0.60 0.67 0.77 0.89 15.0 + 17.5 0.85 0.96 1.05 1.09 1.05 0.95 0.83 0.77 0.79 0.88 1.00 1.08 1.06 0.98 0.87 0.79 0.78 0.84 0.94 1.06 1.18 1.34 1.55 1.79 2.01 2.15 2.17 2.05 1.84 1.59 1.39 1.31 1.35 1.49 1.67 1.83 1.90 1.91 1.87 1.86 1.91 2.04 2.22 2.36 2.43 2.41 2.34 2.27 2.25 2.28 2.35 2.43 2.50 2.56 2.60 2.63 2.61 2.50 2.28 1.97 1.59 1.22 0.91 0.69 0.56 0.52 0.53 0.56 0.60 0.65 0.69 0.76 0.85 0.96 1.05 1.09 1.05 0.95 0.83 0.77 0.79 0.88 1.00 1.08 1.06 0.98 0.87 0.79 0.78 0.84 0.94 1.06 1.18 1.34 1.55 1.79 2.01 2.15 2.17 2.05 1.84 1.59 1.39 1.31 1.35 1.49 1.67 1.83 1.90 1.91 1.87 1.86 1.91 2.04 2.22 2.36 2.43 2.41 2.34 2.27 2.25 2.28 2.35 2.43 2.50 2.56 2.60 2.63 2.61 2.50 2.28 1.97 1.59 1.22 0.91 0.69 0.56 0.52 0.53 0.56 0.60 0.65 0.69 0.76 0.85 17.5 + 20.0 0.68 0.80 0.93 1.01 1.00 0.89 0.74 0.62 0.58 0.65 0.78 0.89 0.93 0.89 0.81 0.74 0.73 0.78 0.86 0.96 1.07 1.21 1.41 1.64 1.87 2.04 2.08 1.99 1.78 1.53 1.32 1.20 1.21 1.32 1.49 1.66 1.77 1.81 1.82 1.85 1.93 2.07 2.24 2.37 2.41 2.37 2.27 2.18 2.15 2.18 2.27 2.36 2.43 2.47 2.47 2.41 2.29 2.09 1.82 1.49 1.14 0.83 0.59 0.43 0.35 0.34 0.38 0.44 0.49 0.53 0.56 0.61 0.68 0.80 0.93 1.01 1.00 0.89 0.74 0.62 0.58 0.65 0.78 0.89 0.93 0.89 0.81 0.74 0.73 0.78 0.86 0.96 1.07 1.21 1.41 1.64 1.87 2.04 2.08 1.99 1.78 1.53 1.32 1.20 1.21 1.32 1.49 1.66 1.77 1.81 1.82 1.85 1.93 2.07 2.24 2.37 2.41 2.37 2.27 2.18 2.15 2.18 2.27 2.36 2.43 2.47 2.47 2.41 2.29 2.09 1.82 1.49 1.14 0.83 0.59 0.43 0.35 0.34 0.38 0.44 0.49 0.53 0.56 0.61 0.68 20.0 + 22.5 0.43 0.56 0.72 0.85 0.89 0.80 0.62 0.44 0.35 0.37 0.49 0.62 0.70 0.69 0.64 0.58 0.57 0.63 0.72 0.83 0.95 1.10 1.29 1.51 1.74 1.91 1.96 1.89 1.70 1.46 1.23 1.08 1.04 1.10 1.25 1.41 1.56 1.66 1.74 1.82 1.94 2.09 2.26 2.38 2.41 2.35 2.23 2.11 2.04 2.05 2.13 2.22 2.28 2.30 2.24 2.10 1.89 1.61 1.30 0.98 0.69 0.45 0.26 0.14 0.08 0.08 0.12 0.18 0.25 0.29 0.32 0.35 0.43 0.56 0.72 0.85 0.89 0.80 0.62 0.44 0.35 0.37 0.49 0.62 0.70 0.69 0.64 0.58 0.57 0.63 0.72 0.83 0.95 1.10 1.29 1.51 1.74 1.91 1.96 1.89 1.70 1.46 1.23 1.08 1.04 1.10 1.25 1.41 1.56 1.66 1.74 1.82 1.94 2.09 2.26 2.38 2.41 2.35 2.23 2.11 2.04 2.05 2.13 2.22 2.28 2.30 2.24 2.10 1.89 1.61 1.30 0.98 0.69 0.45 0.26 0.14 0.08 0.08 0.12 0.18 0.25 0.29 0.32 0.35 0.43 22.5 + 25.0 0.15 0.29 0.48 0.66 0.73 0.67 0.49 0.28 0.14 0.12 0.22 0.35 0.45 0.48 0.44 0.40 0.39 0.45 0.56 0.69 0.83 0.98 1.16 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.17 1.02 0.95 0.98 1.10 1.27 1.45 1.63 1.79 1.95 2.13 2.32 2.50 2.63 2.67 2.61 2.47 2.32 2.20 2.15 2.16 2.20 2.21 2.16 2.02 1.79 1.49 1.16 0.82 0.53 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.09 0.15 0.29 0.48 0.66 0.73 0.67 0.49 0.28 0.14 0.12 0.22 0.35 0.45 0.48 0.44 0.40 0.39 0.45 0.56 0.69 0.83 0.98 1.16 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.17 1.02 0.95 0.98 1.10 1.27 1.45 1.63 1.79 1.95 2.13 2.32 2.50 2.63 2.67 2.61 2.47 2.32 2.20 2.15 2.16 2.20 2.21 2.16 2.02 1.79 1.49 1.16 0.82 0.53 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.09 0.15 25.0 + 27.5 0.00 0.05 0.24 0.44 0.55 0.52 0.35 0.14 0.00 0.00 0.03 0.17 0.28 0.32 0.30 0.27 0.27 0.33 0.44 0.58 0.72 0.85 1.00 1.16 1.32 1.44 1.49 1.47 1.39 1.27 1.15 1.05 1.00 1.02 1.12 1.29 1.51 1.77 2.02 2.28 2.53 2.78 3.00 3.17 3.25 3.22 3.09 2.91 2.72 2.57 2.47 2.39 2.29 2.14 1.89 1.55 1.17 0.78 0.45 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.24 0.44 0.55 0.52 0.35 0.14 0.00 0.00 0.03 0.17 0.28 0.32 0.30 0.27 0.27 0.33 0.44 0.58 0.72 0.85 1.00 1.16 1.32 1.44 1.49 1.47 1.39 1.27 1.15 1.05 1.00 1.02 1.12 1.29 1.51 1.77 2.02 2.28 2.53 2.78 3.00 3.17 3.25 3.22 3.09 2.91 2.72 2.57 2.47 2.39 2.29 2.14 1.89 1.55 1.17 0.78 0.45 0.19 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.00 0.00 0.03 0.22 0.36 0.36 0.23 0.05 0.00 0.00 0.00 0.08 0.20 0.26 0.25 0.22 0.23 0.28 0.37 0.48 0.59 0.69 0.79 0.90 1.00 1.08 1.13 1.14 1.14 1.14 1.13 1.13 1.14 1.18 1.27 1.43 1.67 1.97 2.30 2.64 2.97 3.28 3.56 3.79 3.93 3.96 3.87 3.68 3.43 3.18 2.94 2.72 2.49 2.20 1.84 1.41 0.96 0.54 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.22 0.36 0.36 0.23 0.05 0.00 0.00 0.00 0.08 0.20 0.26 0.25 0.22 0.23 0.28 0.37 0.48 0.59 0.69 0.79 0.90 1.00 1.08 1.13 1.14 1.14 1.14 1.13 1.13 1.14 1.18 1.27 1.43 1.67 1.97 2.30 2.64 2.97 3.28 3.56 3.79 3.93 3.96 3.87 3.68 3.43 3.18 2.94 2.72 2.49 2.20 1.84 1.41 0.96 0.54 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.05 0.20 0.24 0.16 0.02 0.00 0.00 0.00 0.06 0.18 0.25 0.26 0.25 0.24 0.27 0.33 0.39 0.45 0.51 0.56 0.62 0.67 0.72 0.75 0.80 0.87 0.97 1.08 1.19 1.27 1.32 1.39 1.52 1.74 2.04 2.41 2.79 3.17 3.52 3.84 4.12 4.33 4.43 4.40 4.23 3.96 3.64 3.30 2.97 2.63 2.25 1.82 1.34 0.86 0.43 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.20 0.24 0.16 0.02 0.00 0.00 0.00 0.06 0.18 0.25 0.26 0.25 0.24 0.27 0.33 0.39 0.45 0.51 0.56 0.62 0.67 0.72 0.75 0.80 0.87 0.97 1.08 1.19 1.27 1.32 1.39 1.52 1.74 2.04 2.41 2.79 3.17 3.52 3.84 4.12 4.33 4.43 4.40 4.23 3.96 3.64 3.30 2.97 2.63 2.25 1.82 1.34 0.86 0.43 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.11 0.18 0.15 0.06 0.00 0.00 0.00 0.07 0.18 0.26 0.29 0.29 0.28 0.28 0.29 0.30 0.32 0.34 0.37 0.41 0.44 0.45 0.47 0.52 0.62 0.78 0.98 1.16 1.28 1.34 1.37 1.44 1.59 1.85 2.19 2.56 2.92 3.26 3.57 3.86 4.11 4.28 4.32 4.21 3.97 3.64 3.28 2.91 2.55 2.17 1.75 1.28 0.82 0.42 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.18 0.15 0.06 0.00 0.00 0.00 0.07 0.18 0.26 0.29 0.29 0.28 0.28 0.29 0.30 0.32 0.34 0.37 0.41 0.44 0.45 0.47 0.52 0.62 0.78 0.98 1.16 1.28 1.34 1.37 1.44 1.59 1.85 2.19 2.56 2.92 3.26 3.57 3.86 4.11 4.28 4.32 4.21 3.97 3.64 3.28 2.91 2.55 2.17 1.75 1.28 0.82 0.42 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.00 0.00 0.10 0.20 0.22 0.16 0.07 0.00 0.00 0.06 0.16 0.25 0.31 0.34 0.33 0.30 0.26 0.23 0.22 0.24 0.28 0.34 0.37 0.37 0.35 0.37 0.45 0.62 0.84 1.04 1.17 1.20 1.17 1.16 1.23 1.42 1.69 1.99 2.28 2.54 2.78 3.02 3.26 3.46 3.57 3.53 3.36 3.09 2.78 2.47 2.18 1.89 1.57 1.20 0.82 0.48 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.10 0.20 0.22 0.16 0.07 0.00 0.00 0.06 0.16 0.25 0.31 0.34 0.33 0.30 0.26 0.23 0.22 0.24 0.28 0.34 0.37 0.37 0.35 0.37 0.45 0.62 0.84 1.04 1.17 1.20 1.17 1.16 1.23 1.42 1.69 1.99 2.28 2.54 2.78 3.02 3.26 3.46 3.57 3.53 3.36 3.09 2.78 2.47 2.18 1.89 1.57 1.20 0.82 0.48 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.14 0.10 0.00 0.00 37.5 + 40.0 0.00 0.00 0.00 0.00 0.13 0.26 0.32 0.28 0.19 0.08 0.03 0.04 0.12 0.24 0.34 0.40 0.41 0.35 0.27 0.20 0.18 0.22 0.32 0.41 0.46 0.45 0.40 0.36 0.40 0.53 0.71 0.89 0.97 0.95 0.86 0.79 0.79 0.91 1.11 1.32 1.49 1.61 1.73 1.87 2.05 2.25 2.39 2.43 2.34 2.15 1.94 1.74 1.59 1.45 1.29 1.07 0.80 0.53 0.31 0.18 0.12 0.10 0.08 0.03 0.00 0.00 0.00 0.07 0.17 0.21 0.18 0.07 0.00 0.00 0.00 0.00 0.13 0.26 0.32 0.28 0.19 0.08 0.03 0.04 0.12 0.24 0.34 0.40 0.41 0.35 0.27 0.20 0.18 0.22 0.32 0.41 0.46 0.45 0.40 0.36 0.40 0.53 0.71 0.89 0.97 0.95 0.86 0.79 0.79 0.91 1.11 1.32 1.49 1.61 1.73 1.87 2.05 2.25 2.39 2.43 2.34 2.15 1.94 1.74 1.59 1.45 1.29 1.07 0.80 0.53 0.31 0.18 0.12 0.10 0.08 0.03 0.00 0.00 0.00 0.07 0.17 0.21 0.18 0.07 0.00 40.0 + 42.5 0.01 0.00 0.00 0.00 0.15 0.31 0.40 0.38 0.27 0.13 0.03 0.01 0.10 0.25 0.41 0.51 0.52 0.43 0.31 0.21 0.20 0.28 0.43 0.57 0.65 0.62 0.53 0.44 0.43 0.51 0.64 0.76 0.78 0.71 0.57 0.46 0.45 0.54 0.68 0.81 0.86 0.83 0.79 0.80 0.90 1.07 1.22 1.30 1.27 1.16 1.03 0.94 0.93 0.95 0.95 0.88 0.73 0.54 0.37 0.26 0.22 0.23 0.24 0.23 0.19 0.15 0.14 0.18 0.23 0.26 0.23 0.13 0.01 0.00 0.00 0.00 0.15 0.31 0.40 0.38 0.27 0.13 0.03 0.01 0.10 0.25 0.41 0.51 0.52 0.43 0.31 0.21 0.20 0.28 0.43 0.57 0.65 0.62 0.53 0.44 0.43 0.51 0.64 0.76 0.78 0.71 0.57 0.46 0.45 0.54 0.68 0.81 0.86 0.83 0.79 0.80 0.90 1.07 1.22 1.30 1.27 1.16 1.03 0.94 0.93 0.95 0.95 0.88 0.73 0.54 0.37 0.26 0.22 0.23 0.24 0.23 0.19 0.15 0.14 0.18 0.23 0.26 0.23 0.13 0.01 42.5 + 45.0 0.08 0.00 0.00 0.00 0.12 0.28 0.40 0.40 0.30 0.14 0.01 0.00 0.09 0.30 0.52 0.65 0.65 0.53 0.36 0.24 0.24 0.36 0.56 0.73 0.80 0.76 0.65 0.54 0.50 0.55 0.64 0.70 0.66 0.53 0.38 0.28 0.29 0.40 0.54 0.62 0.57 0.41 0.23 0.13 0.15 0.27 0.42 0.52 0.51 0.42 0.33 0.30 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.29 0.29 0.34 0.40 0.42 0.39 0.33 0.28 0.26 0.28 0.30 0.28 0.20 0.08 0.00 0.00 0.00 0.12 0.28 0.40 0.40 0.30 0.14 0.01 0.00 0.09 0.30 0.52 0.65 0.65 0.53 0.36 0.24 0.24 0.36 0.56 0.73 0.80 0.76 0.65 0.54 0.50 0.55 0.64 0.70 0.66 0.53 0.38 0.28 0.29 0.40 0.54 0.62 0.57 0.41 0.23 0.13 0.15 0.27 0.42 0.52 0.51 0.42 0.33 0.30 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.29 0.29 0.34 0.40 0.42 0.39 0.33 0.28 0.26 0.28 0.30 0.28 0.20 0.08 45.0 + 47.5 0.17 0.03 0.00 0.00 0.03 0.19 0.32 0.35 0.26 0.10 0.00 0.00 0.11 0.37 0.63 0.78 0.76 0.60 0.39 0.25 0.26 0.41 0.62 0.80 0.86 0.80 0.68 0.58 0.57 0.63 0.71 0.72 0.62 0.45 0.28 0.21 0.29 0.46 0.63 0.69 0.59 0.35 0.08 0.00 0.00 0.00 0.12 0.21 0.19 0.09 0.00 0.00 0.03 0.19 0.37 0.49 0.50 0.43 0.34 0.30 0.34 0.43 0.53 0.58 0.56 0.47 0.37 0.31 0.31 0.34 0.34 0.29 0.17 0.03 0.00 0.00 0.03 0.19 0.32 0.35 0.26 0.10 0.00 0.00 0.11 0.37 0.63 0.78 0.76 0.60 0.39 0.25 0.26 0.41 0.62 0.80 0.86 0.80 0.68 0.58 0.57 0.63 0.71 0.72 0.62 0.45 0.28 0.21 0.29 0.46 0.63 0.69 0.59 0.35 0.08 0.00 0.00 0.00 0.12 0.21 0.19 0.09 0.00 0.00 0.03 0.19 0.37 0.49 0.50 0.43 0.34 0.30 0.34 0.43 0.53 0.58 0.56 0.47 0.37 0.31 0.31 0.34 0.34 0.29 0.17 47.5 + 50.0 0.29 0.11 0.00 0.00 0.00 0.09 0.23 0.27 0.20 0.05 0.00 0.00 0.13 0.42 0.70 0.84 0.80 0.60 0.36 0.22 0.24 0.40 0.62 0.78 0.81 0.74 0.63 0.58 0.63 0.74 0.82 0.80 0.65 0.43 0.25 0.21 0.34 0.57 0.78 0.86 0.74 0.47 0.17 0.00 0.00 0.04 0.19 0.29 0.26 0.13 0.00 0.00 0.00 0.08 0.25 0.38 0.42 0.38 0.33 0.32 0.39 0.51 0.63 0.68 0.64 0.52 0.40 0.32 0.32 0.38 0.43 0.40 0.29 0.11 0.00 0.00 0.00 0.09 0.23 0.27 0.20 0.05 0.00 0.00 0.13 0.42 0.70 0.84 0.80 0.60 0.36 0.22 0.24 0.40 0.62 0.78 0.81 0.74 0.63 0.58 0.63 0.74 0.82 0.80 0.65 0.43 0.25 0.21 0.34 0.57 0.78 0.86 0.74 0.47 0.17 0.00 0.00 0.04 0.19 0.29 0.26 0.13 0.00 0.00 0.00 0.08 0.25 0.38 0.42 0.38 0.33 0.32 0.39 0.51 0.63 0.68 0.64 0.52 0.40 0.32 0.32 0.38 0.43 0.40 0.29 50.0 + 52.5 0.45 0.25 0.06 0.00 0.00 0.07 0.20 0.25 0.18 0.04 0.00 0.00 0.16 0.45 0.72 0.83 0.75 0.52 0.27 0.14 0.18 0.37 0.58 0.72 0.73 0.65 0.58 0.59 0.70 0.86 0.96 0.91 0.71 0.44 0.23 0.19 0.34 0.60 0.84 0.93 0.83 0.59 0.32 0.15 0.14 0.26 0.43 0.53 0.51 0.37 0.20 0.08 0.06 0.15 0.28 0.39 0.43 0.41 0.37 0.38 0.46 0.58 0.68 0.70 0.63 0.48 0.34 0.27 0.30 0.41 0.52 0.55 0.45 0.25 0.06 0.00 0.00 0.07 0.20 0.25 0.18 0.04 0.00 0.00 0.16 0.45 0.72 0.83 0.75 0.52 0.27 0.14 0.18 0.37 0.58 0.72 0.73 0.65 0.58 0.59 0.70 0.86 0.96 0.91 0.71 0.44 0.23 0.19 0.34 0.60 0.84 0.93 0.83 0.59 0.32 0.15 0.14 0.26 0.43 0.53 0.51 0.37 0.20 0.08 0.06 0.15 0.28 0.39 0.43 0.41 0.37 0.38 0.46 0.58 0.68 0.70 0.63 0.48 0.34 0.27 0.30 0.41 0.52 0.55 0.45 52.5 + 55.0 0.64 0.46 0.25 0.11 0.10 0.19 0.30 0.33 0.26 0.13 0.03 0.05 0.23 0.49 0.71 0.78 0.66 0.42 0.19 0.09 0.17 0.36 0.57 0.68 0.67 0.60 0.56 0.62 0.79 0.98 1.07 0.99 0.75 0.44 0.20 0.14 0.27 0.52 0.75 0.86 0.79 0.61 0.41 0.29 0.32 0.47 0.65 0.76 0.76 0.65 0.50 0.37 0.32 0.36 0.44 0.50 0.53 0.51 0.48 0.48 0.54 0.62 0.67 0.65 0.53 0.36 0.21 0.17 0.26 0.44 0.62 0.71 0.64 0.46 0.25 0.11 0.10 0.19 0.30 0.33 0.26 0.13 0.03 0.05 0.23 0.49 0.71 0.78 0.66 0.42 0.19 0.09 0.17 0.36 0.57 0.68 0.67 0.60 0.56 0.62 0.79 0.98 1.07 0.99 0.75 0.44 0.20 0.14 0.27 0.52 0.75 0.86 0.79 0.61 0.41 0.29 0.32 0.47 0.65 0.76 0.76 0.65 0.50 0.37 0.32 0.36 0.44 0.50 0.53 0.51 0.48 0.48 0.54 0.62 0.67 0.65 0.53 0.36 0.21 0.17 0.26 0.44 0.62 0.71 0.64 55.0 + 57.5 0.83 0.69 0.50 0.37 0.35 0.42 0.51 0.54 0.46 0.32 0.21 0.22 0.36 0.57 0.75 0.77 0.64 0.41 0.21 0.15 0.24 0.44 0.62 0.71 0.69 0.62 0.60 0.68 0.87 1.05 1.12 1.01 0.75 0.42 0.16 0.07 0.16 0.37 0.57 0.68 0.66 0.56 0.44 0.40 0.45 0.59 0.75 0.87 0.91 0.86 0.76 0.66 0.61 0.61 0.63 0.65 0.65 0.61 0.58 0.57 0.59 0.61 0.61 0.53 0.38 0.21 0.08 0.08 0.22 0.46 0.70 0.85 0.83 0.69 0.50 0.37 0.35 0.42 0.51 0.54 0.46 0.32 0.21 0.22 0.36 0.57 0.75 0.77 0.64 0.41 0.21 0.15 0.24 0.44 0.62 0.71 0.69 0.62 0.60 0.68 0.87 1.05 1.12 1.01 0.75 0.42 0.16 0.07 0.16 0.37 0.57 0.68 0.66 0.56 0.44 0.40 0.45 0.59 0.75 0.87 0.91 0.86 0.76 0.66 0.61 0.61 0.63 0.65 0.65 0.61 0.58 0.57 0.59 0.61 0.61 0.53 0.38 0.21 0.08 0.08 0.22 0.46 0.70 0.85 0.83 57.5 + 60.0 0.95 0.86 0.72 0.62 0.62 0.70 0.78 0.80 0.72 0.58 0.47 0.46 0.57 0.74 0.88 0.89 0.76 0.57 0.41 0.37 0.47 0.63 0.78 0.82 0.78 0.70 0.67 0.74 0.89 1.03 1.06 0.93 0.66 0.35 0.11 0.01 0.06 0.21 0.37 0.48 0.52 0.50 0.47 0.48 0.54 0.64 0.75 0.84 0.90 0.91 0.88 0.85 0.81 0.78 0.76 0.73 0.69 0.64 0.60 0.57 0.55 0.54 0.49 0.38 0.23 0.08 0.00 0.02 0.20 0.47 0.75 0.92 0.95 0.86 0.72 0.62 0.62 0.70 0.78 0.80 0.72 0.58 0.47 0.46 0.57 0.74 0.88 0.89 0.76 0.57 0.41 0.37 0.47 0.63 0.78 0.82 0.78 0.70 0.67 0.74 0.89 1.03 1.06 0.93 0.66 0.35 0.11 0.01 0.06 0.21 0.37 0.48 0.52 0.50 0.47 0.48 0.54 0.64 0.75 0.84 0.90 0.91 0.88 0.85 0.81 0.78 0.76 0.73 0.69 0.64 0.60 0.57 0.55 0.54 0.49 0.38 0.23 0.08 0.00 0.02 0.20 0.47 0.75 0.92 0.95 60.0 + 62.5 0.96 0.90 0.82 0.77 0.81 0.92 1.01 1.04 0.97 0.85 0.75 0.74 0.84 0.99 1.12 1.15 1.07 0.93 0.82 0.80 0.88 0.99 1.07 1.05 0.96 0.85 0.78 0.80 0.87 0.92 0.89 0.74 0.49 0.23 0.03 0.00 0.00 0.07 0.20 0.31 0.39 0.45 0.49 0.53 0.57 0.61 0.64 0.68 0.73 0.79 0.83 0.85 0.84 0.80 0.73 0.66 0.60 0.54 0.49 0.45 0.43 0.40 0.34 0.25 0.12 0.01 0.00 0.02 0.20 0.46 0.72 0.90 0.96 0.90 0.82 0.77 0.81 0.92 1.01 1.04 0.97 0.85 0.75 0.74 0.84 0.99 1.12 1.15 1.07 0.93 0.82 0.80 0.88 0.99 1.07 1.05 0.96 0.85 0.78 0.80 0.87 0.92 0.89 0.74 0.49 0.23 0.03 0.00 0.00 0.07 0.20 0.31 0.39 0.45 0.49 0.53 0.57 0.61 0.64 0.68 0.73 0.79 0.83 0.85 0.84 0.80 0.73 0.66 0.60 0.54 0.49 0.45 0.43 0.40 0.34 0.25 0.12 0.01 0.00 0.02 0.20 0.46 0.72 0.90 0.96 62.5 + 65.0 0.83 0.80 0.77 0.78 0.87 1.01 1.14 1.19 1.15 1.06 0.98 1.00 1.11 1.28 1.44 1.53 1.52 1.47 1.43 1.44 1.49 1.55 1.54 1.46 1.30 1.13 1.00 0.93 0.89 0.83 0.72 0.53 0.30 0.09 0.00 0.00 0.00 0.00 0.05 0.14 0.24 0.35 0.44 0.51 0.52 0.49 0.45 0.42 0.44 0.51 0.60 0.66 0.67 0.63 0.54 0.45 0.37 0.31 0.28 0.27 0.26 0.25 0.22 0.16 0.08 0.02 0.00 0.06 0.21 0.43 0.64 0.78 0.83 0.80 0.77 0.78 0.87 1.01 1.14 1.19 1.15 1.06 0.98 1.00 1.11 1.28 1.44 1.53 1.52 1.47 1.43 1.44 1.49 1.55 1.54 1.46 1.30 1.13 1.00 0.93 0.89 0.83 0.72 0.53 0.30 0.09 0.00 0.00 0.00 0.00 0.05 0.14 0.24 0.35 0.44 0.51 0.52 0.49 0.45 0.42 0.44 0.51 0.60 0.66 0.67 0.63 0.54 0.45 0.37 0.31 0.28 0.27 0.26 0.25 0.22 0.16 0.08 0.02 0.00 0.06 0.21 0.43 0.64 0.78 0.83 65.0 + 67.5 0.63 0.61 0.61 0.67 0.81 1.00 1.16 1.25 1.24 1.18 1.14 1.19 1.34 1.56 1.78 1.95 2.06 2.12 2.17 2.24 2.31 2.33 2.26 2.10 1.88 1.64 1.43 1.25 1.09 0.91 0.69 0.44 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.28 0.36 0.37 0.30 0.19 0.11 0.10 0.16 0.27 0.37 0.41 0.37 0.29 0.19 0.11 0.09 0.10 0.13 0.16 0.17 0.18 0.16 0.12 0.09 0.08 0.13 0.23 0.37 0.51 0.60 0.63 0.61 0.61 0.67 0.81 1.00 1.16 1.25 1.24 1.18 1.14 1.19 1.34 1.56 1.78 1.95 2.06 2.12 2.17 2.24 2.31 2.33 2.26 2.10 1.88 1.64 1.43 1.25 1.09 0.91 0.69 0.44 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.28 0.36 0.37 0.30 0.19 0.11 0.10 0.16 0.27 0.37 0.41 0.37 0.29 0.19 0.11 0.09 0.10 0.13 0.16 0.17 0.18 0.16 0.12 0.09 0.08 0.13 0.23 0.37 0.51 0.60 0.63 67.5 + 70.0 0.43 0.42 0.45 0.55 0.72 0.94 1.12 1.23 1.24 1.22 1.22 1.31 1.51 1.78 2.07 2.34 2.56 2.76 2.94 3.12 3.25 3.29 3.21 3.00 2.72 2.42 2.13 1.85 1.58 1.27 0.93 0.58 0.28 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.18 0.11 0.00 0.00 0.00 0.00 0.02 0.15 0.22 0.20 0.12 0.03 0.00 0.00 0.05 0.12 0.19 0.24 0.26 0.25 0.23 0.21 0.19 0.20 0.24 0.31 0.38 0.42 0.43 0.42 0.45 0.55 0.72 0.94 1.12 1.23 1.24 1.22 1.22 1.31 1.51 1.78 2.07 2.34 2.56 2.76 2.94 3.12 3.25 3.29 3.21 3.00 2.72 2.42 2.13 1.85 1.58 1.27 0.93 0.58 0.28 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.16 0.18 0.11 0.00 0.00 0.00 0.00 0.02 0.15 0.22 0.20 0.12 0.03 0.00 0.00 0.05 0.12 0.19 0.24 0.26 0.25 0.23 0.21 0.19 0.20 0.24 0.31 0.38 0.42 0.43 70.0 + 72.5 0.32 0.32 0.36 0.48 0.68 0.90 1.08 1.18 1.20 1.19 1.23 1.36 1.61 1.93 2.27 2.60 2.93 3.25 3.59 3.92 4.17 4.29 4.23 4.02 3.70 3.35 3.01 2.67 2.31 1.90 1.45 1.00 0.61 0.33 0.18 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.26 0.26 0.18 0.09 0.05 0.09 0.19 0.30 0.40 0.44 0.44 0.41 0.37 0.32 0.29 0.27 0.27 0.29 0.32 0.32 0.32 0.32 0.36 0.48 0.68 0.90 1.08 1.18 1.20 1.19 1.23 1.36 1.61 1.93 2.27 2.60 2.93 3.25 3.59 3.92 4.17 4.29 4.23 4.02 3.70 3.35 3.01 2.67 2.31 1.90 1.45 1.00 0.61 0.33 0.18 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.26 0.26 0.18 0.09 0.05 0.09 0.19 0.30 0.40 0.44 0.44 0.41 0.37 0.32 0.29 0.27 0.27 0.29 0.32 0.32 0.32 72.5 + 75.0 0.30 0.31 0.38 0.51 0.69 0.89 1.04 1.10 1.10 1.10 1.17 1.35 1.63 1.97 2.32 2.67 3.04 3.47 3.96 4.45 4.85 5.08 5.08 4.88 4.55 4.18 3.81 3.46 3.07 2.61 2.09 1.55 1.09 0.77 0.59 0.50 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.08 0.22 0.24 0.17 0.06 0.02 0.10 0.28 0.47 0.58 0.56 0.46 0.34 0.29 0.33 0.46 0.59 0.68 0.70 0.64 0.56 0.47 0.40 0.35 0.32 0.31 0.32 0.32 0.31 0.30 0.31 0.38 0.51 0.69 0.89 1.04 1.10 1.10 1.10 1.17 1.35 1.63 1.97 2.32 2.67 3.04 3.47 3.96 4.45 4.85 5.08 5.08 4.88 4.55 4.18 3.81 3.46 3.07 2.61 2.09 1.55 1.09 0.77 0.59 0.50 0.41 0.28 0.08 0.00 0.00 0.00 0.00 0.08 0.22 0.24 0.17 0.06 0.02 0.10 0.28 0.47 0.58 0.56 0.46 0.34 0.29 0.33 0.46 0.59 0.68 0.70 0.64 0.56 0.47 0.40 0.35 0.32 0.31 0.32 0.32 0.31 0.30 75.0 + 77.5 0.34 0.37 0.44 0.57 0.73 0.87 0.95 0.96 0.93 0.93 1.03 1.25 1.55 1.88 2.18 2.48 2.84 3.31 3.89 4.53 5.07 5.40 5.45 5.26 4.93 4.57 4.24 3.93 3.57 3.13 2.59 2.03 1.55 1.23 1.06 0.98 0.90 0.73 0.47 0.19 0.01 0.00 0.14 0.37 0.56 0.64 0.58 0.49 0.46 0.56 0.76 0.96 1.06 1.00 0.82 0.63 0.53 0.57 0.70 0.85 0.91 0.87 0.75 0.59 0.45 0.37 0.34 0.33 0.34 0.35 0.35 0.35 0.34 0.37 0.44 0.57 0.73 0.87 0.95 0.96 0.93 0.93 1.03 1.25 1.55 1.88 2.18 2.48 2.84 3.31 3.89 4.53 5.07 5.40 5.45 5.26 4.93 4.57 4.24 3.93 3.57 3.13 2.59 2.03 1.55 1.23 1.06 0.98 0.90 0.73 0.47 0.19 0.01 0.00 0.14 0.37 0.56 0.64 0.58 0.49 0.46 0.56 0.76 0.96 1.06 1.00 0.82 0.63 0.53 0.57 0.70 0.85 0.91 0.87 0.75 0.59 0.45 0.37 0.34 0.33 0.34 0.35 0.35 0.35 0.34 77.5 + 80.0 0.36 0.39 0.47 0.59 0.71 0.78 0.77 0.70 0.64 0.65 0.79 1.04 1.35 1.62 1.83 2.02 2.29 2.74 3.37 4.09 4.73 5.12 5.19 5.00 4.68 4.35 4.09 3.87 3.60 3.23 2.75 2.24 1.81 1.55 1.45 1.44 1.40 1.22 0.93 0.59 0.37 0.33 0.50 0.76 0.99 1.07 1.02 0.93 0.91 1.03 1.25 1.45 1.49 1.35 1.06 0.77 0.61 0.63 0.77 0.92 0.96 0.86 0.66 0.44 0.28 0.22 0.23 0.28 0.33 0.36 0.37 0.36 0.36 0.39 0.47 0.59 0.71 0.78 0.77 0.70 0.64 0.65 0.79 1.04 1.35 1.62 1.83 2.02 2.29 2.74 3.37 4.09 4.73 5.12 5.19 5.00 4.68 4.35 4.09 3.87 3.60 3.23 2.75 2.24 1.81 1.55 1.45 1.44 1.40 1.22 0.93 0.59 0.37 0.33 0.50 0.76 0.99 1.07 1.02 0.93 0.91 1.03 1.25 1.45 1.49 1.35 1.06 0.77 0.61 0.63 0.77 0.92 0.96 0.86 0.66 0.44 0.28 0.22 0.23 0.28 0.33 0.36 0.37 0.36 0.36 80.0 + 82.5 0.29 0.33 0.41 0.51 0.58 0.57 0.48 0.34 0.23 0.26 0.44 0.73 1.02 1.21 1.29 1.34 1.49 1.88 2.51 3.26 3.92 4.32 4.37 4.16 3.84 3.57 3.41 3.31 3.17 2.91 2.52 2.11 1.79 1.65 1.67 1.76 1.78 1.62 1.30 0.94 0.68 0.65 0.82 1.09 1.31 1.37 1.29 1.17 1.16 1.30 1.54 1.72 1.70 1.45 1.04 0.65 0.43 0.44 0.60 0.76 0.79 0.65 0.39 0.13 0.00 0.00 0.03 0.16 0.26 0.31 0.31 0.29 0.29 0.33 0.41 0.51 0.58 0.57 0.48 0.34 0.23 0.26 0.44 0.73 1.02 1.21 1.29 1.34 1.49 1.88 2.51 3.26 3.92 4.32 4.37 4.16 3.84 3.57 3.41 3.31 3.17 2.91 2.52 2.11 1.79 1.65 1.67 1.76 1.78 1.62 1.30 0.94 0.68 0.65 0.82 1.09 1.31 1.37 1.29 1.17 1.16 1.30 1.54 1.72 1.70 1.45 1.04 0.65 0.43 0.44 0.60 0.76 0.79 0.65 0.39 0.13 0.00 0.00 0.03 0.16 0.26 0.31 0.31 0.29 0.29 82.5 + 85.0 0.14 0.18 0.27 0.35 0.38 0.30 0.12 0.00 0.00 0.00 0.04 0.36 0.63 0.74 0.69 0.59 0.63 0.95 1.55 2.29 2.93 3.29 3.29 3.05 2.74 2.54 2.48 2.50 2.48 2.33 2.05 1.74 1.55 1.56 1.72 1.92 1.99 1.84 1.51 1.13 0.87 0.84 1.01 1.26 1.43 1.43 1.30 1.17 1.17 1.34 1.59 1.75 1.66 1.30 0.78 0.31 0.07 0.09 0.28 0.47 0.49 0.32 0.03 0.00 0.00 0.00 0.00 0.00 0.15 0.21 0.19 0.16 0.14 0.18 0.27 0.35 0.38 0.30 0.12 0.00 0.00 0.00 0.04 0.36 0.63 0.74 0.69 0.59 0.63 0.95 1.55 2.29 2.93 3.29 3.29 3.05 2.74 2.54 2.48 2.50 2.48 2.33 2.05 1.74 1.55 1.56 1.72 1.92 1.99 1.84 1.51 1.13 0.87 0.84 1.01 1.26 1.43 1.43 1.30 1.17 1.17 1.34 1.59 1.75 1.66 1.30 0.78 0.31 0.07 0.09 0.28 0.47 0.49 0.32 0.03 0.00 0.00 0.00 0.00 0.00 0.15 0.21 0.19 0.16 0.14 85.0 + 87.5 0.00 0.04 0.12 0.19 0.17 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.29 0.34 0.19 0.00 0.00 0.22 0.79 1.50 2.09 2.38 2.33 2.06 1.78 1.64 1.68 1.80 1.86 1.77 1.56 1.34 1.27 1.40 1.68 1.95 2.06 1.93 1.59 1.22 0.96 0.94 1.10 1.31 1.43 1.37 1.20 1.07 1.10 1.30 1.57 1.71 1.55 1.10 0.49 0.00 0.00 0.00 0.00 0.21 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.11 0.08 0.03 0.00 0.04 0.12 0.19 0.17 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.29 0.34 0.19 0.00 0.00 0.22 0.79 1.50 2.09 2.38 2.33 2.06 1.78 1.64 1.68 1.80 1.86 1.77 1.56 1.34 1.27 1.40 1.68 1.95 2.06 1.93 1.59 1.22 0.96 0.94 1.10 1.31 1.43 1.37 1.20 1.07 1.10 1.30 1.57 1.71 1.55 1.10 0.49 0.00 0.00 0.00 0.00 0.21 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.11 0.08 0.03 0.00 87.5 + 90.0 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 90.0 + + 35.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.81 ) PHI2 = 35. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.0 + 2.5 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.02 1.77 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.40 0.39 0.41 0.49 0.64 0.84 1.05 1.27 1.51 1.76 1.99 2.17 2.25 2.21 2.06 1.84 1.60 1.37 1.14 0.92 0.72 0.56 0.45 0.41 0.40 0.36 0.25 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.72 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.02 1.77 1.52 1.28 1.05 0.84 0.64 0.49 0.39 0.36 0.37 0.36 0.27 2.5 + 5.0 0.41 0.29 0.11 0.00 0.00 0.00 0.10 0.29 0.44 0.50 0.47 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.94 2.17 2.29 2.30 2.18 1.98 1.73 1.47 1.22 0.99 0.79 0.63 0.54 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.33 0.42 0.44 0.46 0.52 0.64 0.82 1.03 1.27 1.52 1.78 2.05 2.28 2.41 2.41 2.27 2.02 1.71 1.41 1.14 0.89 0.68 0.50 0.37 0.31 0.33 0.39 0.43 0.41 0.29 0.11 0.00 0.00 0.00 0.10 0.29 0.44 0.50 0.47 0.41 0.37 0.40 0.50 0.67 0.88 1.12 1.38 1.66 1.94 2.17 2.29 2.30 2.18 1.98 1.73 1.47 1.22 0.99 0.79 0.63 0.54 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.33 0.42 0.44 0.46 0.52 0.64 0.82 1.03 1.27 1.52 1.78 2.05 2.28 2.41 2.41 2.27 2.02 1.71 1.41 1.14 0.89 0.68 0.50 0.37 0.31 0.33 0.39 0.43 0.41 5.0 + 7.5 0.61 0.56 0.45 0.33 0.27 0.30 0.42 0.57 0.67 0.69 0.62 0.50 0.40 0.36 0.40 0.54 0.73 0.97 1.25 1.56 1.86 2.14 2.32 2.39 2.33 2.15 1.90 1.62 1.35 1.11 0.93 0.81 0.75 0.75 0.75 0.72 0.62 0.45 0.27 0.13 0.11 0.19 0.35 0.51 0.63 0.68 0.70 0.71 0.77 0.89 1.06 1.26 1.50 1.76 2.04 2.32 2.53 2.61 2.55 2.33 2.00 1.64 1.29 0.98 0.74 0.54 0.39 0.30 0.28 0.35 0.46 0.57 0.61 0.56 0.45 0.33 0.27 0.30 0.42 0.57 0.67 0.69 0.62 0.50 0.40 0.36 0.40 0.54 0.73 0.97 1.25 1.56 1.86 2.14 2.32 2.39 2.33 2.15 1.90 1.62 1.35 1.11 0.93 0.81 0.75 0.75 0.75 0.72 0.62 0.45 0.27 0.13 0.11 0.19 0.35 0.51 0.63 0.68 0.70 0.71 0.77 0.89 1.06 1.26 1.50 1.76 2.04 2.32 2.53 2.61 2.55 2.33 2.00 1.64 1.29 0.98 0.74 0.54 0.39 0.30 0.28 0.35 0.46 0.57 0.61 7.5 + 10.0 0.84 0.85 0.80 0.71 0.64 0.65 0.72 0.83 0.92 0.92 0.84 0.70 0.54 0.45 0.44 0.53 0.69 0.91 1.18 1.47 1.78 2.07 2.30 2.43 2.43 2.30 2.07 1.79 1.52 1.29 1.14 1.08 1.08 1.13 1.16 1.15 1.07 0.93 0.79 0.71 0.72 0.82 0.96 1.09 1.17 1.19 1.18 1.19 1.23 1.33 1.47 1.64 1.84 2.08 2.35 2.59 2.75 2.77 2.63 2.33 1.95 1.54 1.18 0.88 0.66 0.50 0.39 0.34 0.37 0.47 0.61 0.75 0.84 0.85 0.80 0.71 0.64 0.65 0.72 0.83 0.92 0.92 0.84 0.70 0.54 0.45 0.44 0.53 0.69 0.91 1.18 1.47 1.78 2.07 2.30 2.43 2.43 2.30 2.07 1.79 1.52 1.29 1.14 1.08 1.08 1.13 1.16 1.15 1.07 0.93 0.79 0.71 0.72 0.82 0.96 1.09 1.17 1.19 1.18 1.19 1.23 1.33 1.47 1.64 1.84 2.08 2.35 2.59 2.75 2.77 2.63 2.33 1.95 1.54 1.18 0.88 0.66 0.50 0.39 0.34 0.37 0.47 0.61 0.75 0.84 10.0 + 12.5 1.04 1.08 1.06 1.00 0.93 0.90 0.94 1.01 1.09 1.12 1.07 0.94 0.78 0.65 0.60 0.64 0.77 0.94 1.16 1.40 1.67 1.95 2.21 2.39 2.45 2.38 2.19 1.93 1.68 1.48 1.37 1.36 1.43 1.53 1.61 1.63 1.58 1.48 1.39 1.36 1.42 1.54 1.67 1.78 1.81 1.80 1.77 1.76 1.78 1.85 1.94 2.06 2.21 2.40 2.60 2.78 2.86 2.80 2.58 2.23 1.82 1.42 1.08 0.83 0.67 0.56 0.51 0.51 0.56 0.66 0.79 0.93 1.04 1.08 1.06 1.00 0.93 0.90 0.94 1.01 1.09 1.12 1.07 0.94 0.78 0.65 0.60 0.64 0.77 0.94 1.16 1.40 1.67 1.95 2.21 2.39 2.45 2.38 2.19 1.93 1.68 1.48 1.37 1.36 1.43 1.53 1.61 1.63 1.58 1.48 1.39 1.36 1.42 1.54 1.67 1.78 1.81 1.80 1.77 1.76 1.78 1.85 1.94 2.06 2.21 2.40 2.60 2.78 2.86 2.80 2.58 2.23 1.82 1.42 1.08 0.83 0.67 0.56 0.51 0.51 0.56 0.66 0.79 0.93 1.04 12.5 + 15.0 1.14 1.20 1.20 1.16 1.08 1.02 1.01 1.06 1.14 1.20 1.20 1.12 0.99 0.87 0.80 0.80 0.88 1.00 1.15 1.33 1.54 1.79 2.05 2.27 2.39 2.38 2.23 2.01 1.77 1.59 1.51 1.54 1.66 1.81 1.93 1.99 1.97 1.91 1.87 1.88 1.97 2.11 2.24 2.32 2.32 2.28 2.22 2.19 2.20 2.24 2.31 2.39 2.49 2.61 2.73 2.81 2.80 2.65 2.36 1.99 1.59 1.24 0.97 0.79 0.70 0.66 0.66 0.68 0.74 0.82 0.92 1.03 1.14 1.20 1.20 1.16 1.08 1.02 1.01 1.06 1.14 1.20 1.20 1.12 0.99 0.87 0.80 0.80 0.88 1.00 1.15 1.33 1.54 1.79 2.05 2.27 2.39 2.38 2.23 2.01 1.77 1.59 1.51 1.54 1.66 1.81 1.93 1.99 1.97 1.91 1.87 1.88 1.97 2.11 2.24 2.32 2.32 2.28 2.22 2.19 2.20 2.24 2.31 2.39 2.49 2.61 2.73 2.81 2.80 2.65 2.36 1.99 1.59 1.24 0.97 0.79 0.70 0.66 0.66 0.68 0.74 0.82 0.92 1.03 1.14 15.0 + 17.5 1.09 1.17 1.21 1.18 1.10 1.00 0.94 0.95 1.02 1.11 1.17 1.15 1.07 0.97 0.89 0.88 0.92 1.00 1.10 1.22 1.39 1.61 1.87 2.11 2.27 2.31 2.20 2.00 1.77 1.59 1.51 1.54 1.67 1.84 1.99 2.08 2.11 2.09 2.09 2.13 2.24 2.38 2.50 2.56 2.53 2.46 2.37 2.33 2.33 2.38 2.44 2.51 2.58 2.64 2.68 2.66 2.54 2.32 1.99 1.62 1.27 0.98 0.79 0.68 0.65 0.67 0.70 0.75 0.80 0.85 0.91 1.00 1.09 1.17 1.21 1.18 1.10 1.00 0.94 0.95 1.02 1.11 1.17 1.15 1.07 0.97 0.89 0.88 0.92 1.00 1.10 1.22 1.39 1.61 1.87 2.11 2.27 2.31 2.20 2.00 1.77 1.59 1.51 1.54 1.67 1.84 1.99 2.08 2.11 2.09 2.09 2.13 2.24 2.38 2.50 2.56 2.53 2.46 2.37 2.33 2.33 2.38 2.44 2.51 2.58 2.64 2.68 2.66 2.54 2.32 1.99 1.62 1.27 0.98 0.79 0.68 0.65 0.67 0.70 0.75 0.80 0.85 0.91 1.00 1.09 17.5 + 20.0 0.90 1.01 1.09 1.09 1.01 0.88 0.76 0.72 0.76 0.86 0.95 0.99 0.96 0.89 0.83 0.81 0.84 0.90 0.98 1.07 1.22 1.42 1.68 1.93 2.12 2.19 2.11 1.92 1.69 1.49 1.38 1.38 1.48 1.64 1.81 1.94 2.01 2.05 2.09 2.16 2.29 2.42 2.52 2.55 2.49 2.38 2.27 2.21 2.21 2.26 2.34 2.42 2.47 2.49 2.45 2.34 2.14 1.85 1.51 1.17 0.88 0.66 0.53 0.48 0.48 0.52 0.58 0.63 0.67 0.70 0.73 0.80 0.90 1.01 1.09 1.09 1.01 0.88 0.76 0.72 0.76 0.86 0.95 0.99 0.96 0.89 0.83 0.81 0.84 0.90 0.98 1.07 1.22 1.42 1.68 1.93 2.12 2.19 2.11 1.92 1.69 1.49 1.38 1.38 1.48 1.64 1.81 1.94 2.01 2.05 2.09 2.16 2.29 2.42 2.52 2.55 2.49 2.38 2.27 2.21 2.21 2.26 2.34 2.42 2.47 2.49 2.45 2.34 2.14 1.85 1.51 1.17 0.88 0.66 0.53 0.48 0.48 0.52 0.58 0.63 0.67 0.70 0.73 0.80 0.90 20.0 + 22.5 0.60 0.75 0.87 0.92 0.85 0.70 0.53 0.42 0.42 0.51 0.62 0.70 0.70 0.66 0.62 0.61 0.64 0.71 0.80 0.91 1.05 1.25 1.50 1.75 1.94 2.02 1.96 1.80 1.57 1.36 1.22 1.18 1.25 1.39 1.56 1.73 1.86 1.97 2.06 2.18 2.32 2.45 2.54 2.54 2.46 2.31 2.17 2.08 2.05 2.09 2.17 2.24 2.27 2.24 2.13 1.93 1.66 1.34 1.01 0.71 0.48 0.32 0.23 0.20 0.21 0.25 0.31 0.36 0.40 0.41 0.43 0.49 0.60 0.75 0.87 0.92 0.85 0.70 0.53 0.42 0.42 0.51 0.62 0.70 0.70 0.66 0.62 0.61 0.64 0.71 0.80 0.91 1.05 1.25 1.50 1.75 1.94 2.02 1.96 1.80 1.57 1.36 1.22 1.18 1.25 1.39 1.56 1.73 1.86 1.97 2.06 2.18 2.32 2.45 2.54 2.54 2.46 2.31 2.17 2.08 2.05 2.09 2.17 2.24 2.27 2.24 2.13 1.93 1.66 1.34 1.01 0.71 0.48 0.32 0.23 0.20 0.21 0.25 0.31 0.36 0.40 0.41 0.43 0.49 0.60 22.5 + 25.0 0.26 0.44 0.61 0.70 0.65 0.49 0.28 0.13 0.09 0.16 0.28 0.38 0.42 0.40 0.37 0.37 0.42 0.51 0.63 0.75 0.90 1.09 1.31 1.53 1.71 1.79 1.76 1.63 1.45 1.27 1.14 1.08 1.12 1.24 1.42 1.63 1.84 2.03 2.21 2.38 2.55 2.70 2.79 2.78 2.69 2.52 2.34 2.19 2.11 2.09 2.11 2.13 2.09 1.98 1.79 1.51 1.18 0.85 0.54 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.10 0.10 0.15 0.26 0.44 0.61 0.70 0.65 0.49 0.28 0.13 0.09 0.16 0.28 0.38 0.42 0.40 0.37 0.37 0.42 0.51 0.63 0.75 0.90 1.09 1.31 1.53 1.71 1.79 1.76 1.63 1.45 1.27 1.14 1.08 1.12 1.24 1.42 1.63 1.84 2.03 2.21 2.38 2.55 2.70 2.79 2.78 2.69 2.52 2.34 2.19 2.11 2.09 2.11 2.13 2.09 1.98 1.79 1.51 1.18 0.85 0.54 0.30 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.10 0.10 0.15 0.26 25.0 + 27.5 0.00 0.14 0.33 0.45 0.43 0.28 0.07 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.17 0.19 0.25 0.35 0.48 0.61 0.75 0.91 1.08 1.26 1.40 1.48 1.49 1.43 1.33 1.23 1.16 1.14 1.18 1.30 1.48 1.72 1.99 2.27 2.54 2.79 3.02 3.20 3.31 3.33 3.25 3.08 2.87 2.66 2.48 2.35 2.26 2.16 2.02 1.80 1.50 1.15 0.78 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.33 0.45 0.43 0.28 0.07 0.00 0.00 0.00 0.03 0.14 0.20 0.19 0.17 0.19 0.25 0.35 0.48 0.61 0.75 0.91 1.08 1.26 1.40 1.48 1.49 1.43 1.33 1.23 1.16 1.14 1.18 1.30 1.48 1.72 1.99 2.27 2.54 2.79 3.02 3.20 3.31 3.33 3.25 3.08 2.87 2.66 2.48 2.35 2.26 2.16 2.02 1.80 1.50 1.15 0.78 0.44 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 27.5 + 30.0 0.00 0.00 0.09 0.22 0.23 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.10 0.09 0.10 0.16 0.26 0.37 0.48 0.59 0.70 0.82 0.94 1.05 1.12 1.16 1.18 1.20 1.22 1.25 1.29 1.36 1.47 1.65 1.90 2.21 2.55 2.89 3.21 3.49 3.72 3.87 3.94 3.90 3.76 3.54 3.28 3.01 2.76 2.53 2.29 2.02 1.69 1.30 0.88 0.49 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.23 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.10 0.09 0.10 0.16 0.26 0.37 0.48 0.59 0.70 0.82 0.94 1.05 1.12 1.16 1.18 1.20 1.22 1.25 1.29 1.36 1.47 1.65 1.90 2.21 2.55 2.89 3.21 3.49 3.72 3.87 3.94 3.90 3.76 3.54 3.28 3.01 2.76 2.53 2.29 2.02 1.69 1.30 0.88 0.49 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.08 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.10 0.09 0.10 0.14 0.21 0.29 0.36 0.42 0.49 0.57 0.64 0.71 0.77 0.84 0.92 1.03 1.16 1.30 1.41 1.50 1.60 1.74 1.96 2.25 2.61 2.98 3.34 3.65 3.91 4.11 4.23 4.26 4.17 3.98 3.70 3.38 3.03 2.70 2.36 2.00 1.60 1.16 0.72 0.32 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.10 0.09 0.10 0.14 0.21 0.29 0.36 0.42 0.49 0.57 0.64 0.71 0.77 0.84 0.92 1.03 1.16 1.30 1.41 1.50 1.60 1.74 1.96 2.25 2.61 2.98 3.34 3.65 3.91 4.11 4.23 4.26 4.17 3.98 3.70 3.38 3.03 2.70 2.36 2.00 1.60 1.16 0.72 0.32 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.05 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.13 0.14 0.14 0.16 0.18 0.22 0.25 0.29 0.34 0.40 0.45 0.50 0.53 0.58 0.68 0.84 1.04 1.24 1.40 1.49 1.54 1.62 1.76 2.00 2.31 2.66 3.00 3.30 3.55 3.76 3.92 4.01 4.00 3.87 3.63 3.30 2.95 2.59 2.23 1.87 1.48 1.07 0.65 0.28 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.05 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.13 0.14 0.14 0.16 0.18 0.22 0.25 0.29 0.34 0.40 0.45 0.50 0.53 0.58 0.68 0.84 1.04 1.24 1.40 1.49 1.54 1.62 1.76 2.00 2.31 2.66 3.00 3.30 3.55 3.76 3.92 4.01 4.00 3.87 3.63 3.30 2.95 2.59 2.23 1.87 1.48 1.07 0.65 0.28 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.01 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.00 0.12 0.21 0.22 0.15 0.06 0.00 0.00 0.01 0.07 0.14 0.19 0.21 0.21 0.20 0.18 0.17 0.18 0.21 0.28 0.37 0.43 0.46 0.46 0.47 0.54 0.68 0.88 1.09 1.24 1.29 1.28 1.27 1.32 1.47 1.72 2.01 2.28 2.51 2.69 2.86 3.01 3.14 3.20 3.15 2.99 2.73 2.43 2.14 1.86 1.59 1.31 0.99 0.65 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.21 0.17 0.06 0.00 0.00 0.00 0.00 0.12 0.21 0.22 0.15 0.06 0.00 0.00 0.01 0.07 0.14 0.19 0.21 0.21 0.20 0.18 0.17 0.18 0.21 0.28 0.37 0.43 0.46 0.46 0.47 0.54 0.68 0.88 1.09 1.24 1.29 1.28 1.27 1.32 1.47 1.72 2.01 2.28 2.51 2.69 2.86 3.01 3.14 3.20 3.15 2.99 2.73 2.43 2.14 1.86 1.59 1.31 0.99 0.65 0.34 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.21 0.17 0.06 0.00 0.00 37.5 + 40.0 0.01 0.02 0.12 0.25 0.37 0.41 0.38 0.28 0.17 0.09 0.07 0.10 0.18 0.26 0.32 0.33 0.29 0.22 0.16 0.15 0.22 0.34 0.48 0.57 0.60 0.55 0.50 0.50 0.58 0.74 0.91 1.01 1.00 0.92 0.82 0.80 0.89 1.07 1.28 1.45 1.57 1.64 1.72 1.82 1.95 2.06 2.09 2.02 1.85 1.65 1.46 1.32 1.21 1.08 0.91 0.68 0.43 0.21 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.19 0.28 0.33 0.30 0.21 0.09 0.01 0.02 0.12 0.25 0.37 0.41 0.38 0.28 0.17 0.09 0.07 0.10 0.18 0.26 0.32 0.33 0.29 0.22 0.16 0.15 0.22 0.34 0.48 0.57 0.60 0.55 0.50 0.50 0.58 0.74 0.91 1.01 1.00 0.92 0.82 0.80 0.89 1.07 1.28 1.45 1.57 1.64 1.72 1.82 1.95 2.06 2.09 2.02 1.85 1.65 1.46 1.32 1.21 1.08 0.91 0.68 0.43 0.21 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.19 0.28 0.33 0.30 0.21 0.09 0.01 40.0 + 42.5 0.14 0.13 0.20 0.33 0.47 0.56 0.55 0.46 0.31 0.18 0.11 0.14 0.24 0.38 0.48 0.49 0.42 0.30 0.19 0.18 0.27 0.46 0.66 0.79 0.80 0.71 0.59 0.53 0.56 0.66 0.77 0.80 0.73 0.58 0.45 0.40 0.47 0.62 0.78 0.86 0.85 0.78 0.73 0.76 0.87 1.00 1.09 1.07 0.98 0.86 0.77 0.76 0.80 0.84 0.81 0.70 0.51 0.32 0.17 0.11 0.12 0.17 0.21 0.23 0.24 0.27 0.31 0.36 0.40 0.39 0.32 0.22 0.14 0.13 0.20 0.33 0.47 0.56 0.55 0.46 0.31 0.18 0.11 0.14 0.24 0.38 0.48 0.49 0.42 0.30 0.19 0.18 0.27 0.46 0.66 0.79 0.80 0.71 0.59 0.53 0.56 0.66 0.77 0.80 0.73 0.58 0.45 0.40 0.47 0.62 0.78 0.86 0.85 0.78 0.73 0.76 0.87 1.00 1.09 1.07 0.98 0.86 0.77 0.76 0.80 0.84 0.81 0.70 0.51 0.32 0.17 0.11 0.12 0.17 0.21 0.23 0.24 0.27 0.31 0.36 0.40 0.39 0.32 0.22 0.14 42.5 + 45.0 0.20 0.16 0.19 0.30 0.46 0.59 0.62 0.54 0.38 0.22 0.14 0.18 0.34 0.54 0.68 0.69 0.58 0.39 0.23 0.20 0.33 0.56 0.80 0.94 0.94 0.82 0.66 0.57 0.57 0.65 0.71 0.69 0.55 0.37 0.23 0.21 0.32 0.50 0.64 0.65 0.53 0.33 0.17 0.12 0.20 0.33 0.44 0.45 0.38 0.28 0.24 0.30 0.44 0.60 0.68 0.66 0.53 0.37 0.24 0.21 0.26 0.36 0.44 0.47 0.45 0.42 0.39 0.40 0.42 0.42 0.38 0.30 0.20 0.16 0.19 0.30 0.46 0.59 0.62 0.54 0.38 0.22 0.14 0.18 0.34 0.54 0.68 0.69 0.58 0.39 0.23 0.20 0.33 0.56 0.80 0.94 0.94 0.82 0.66 0.57 0.57 0.65 0.71 0.69 0.55 0.37 0.23 0.21 0.32 0.50 0.64 0.65 0.53 0.33 0.17 0.12 0.20 0.33 0.44 0.45 0.38 0.28 0.24 0.30 0.44 0.60 0.68 0.66 0.53 0.37 0.24 0.21 0.26 0.36 0.44 0.47 0.45 0.42 0.39 0.40 0.42 0.42 0.38 0.30 0.20 45.0 + 47.5 0.21 0.11 0.08 0.16 0.32 0.49 0.56 0.51 0.36 0.20 0.13 0.21 0.43 0.70 0.87 0.88 0.71 0.46 0.25 0.20 0.33 0.58 0.83 0.96 0.94 0.80 0.65 0.57 0.60 0.68 0.73 0.66 0.48 0.27 0.15 0.18 0.37 0.61 0.77 0.76 0.56 0.28 0.03 0.00 0.00 0.12 0.23 0.24 0.15 0.02 0.00 0.02 0.19 0.39 0.54 0.57 0.49 0.36 0.27 0.28 0.38 0.53 0.64 0.67 0.61 0.50 0.41 0.38 0.40 0.43 0.41 0.34 0.21 0.11 0.08 0.16 0.32 0.49 0.56 0.51 0.36 0.20 0.13 0.21 0.43 0.70 0.87 0.88 0.71 0.46 0.25 0.20 0.33 0.58 0.83 0.96 0.94 0.80 0.65 0.57 0.60 0.68 0.73 0.66 0.48 0.27 0.15 0.18 0.37 0.61 0.77 0.76 0.56 0.28 0.03 0.00 0.00 0.12 0.23 0.24 0.15 0.02 0.00 0.02 0.19 0.39 0.54 0.57 0.49 0.36 0.27 0.28 0.38 0.53 0.64 0.67 0.61 0.50 0.41 0.38 0.40 0.43 0.41 0.34 0.21 47.5 + 50.0 0.22 0.05 0.00 0.00 0.14 0.32 0.43 0.41 0.28 0.13 0.09 0.22 0.50 0.81 1.00 0.99 0.77 0.46 0.21 0.14 0.28 0.53 0.76 0.86 0.81 0.67 0.56 0.54 0.64 0.76 0.80 0.69 0.47 0.23 0.12 0.21 0.47 0.78 0.98 0.96 0.74 0.42 0.14 0.02 0.07 0.22 0.33 0.33 0.21 0.04 0.00 0.00 0.07 0.27 0.43 0.48 0.43 0.33 0.28 0.34 0.49 0.67 0.79 0.79 0.68 0.51 0.37 0.31 0.35 0.42 0.45 0.38 0.22 0.05 0.00 0.00 0.14 0.32 0.43 0.41 0.28 0.13 0.09 0.22 0.50 0.81 1.00 0.99 0.77 0.46 0.21 0.14 0.28 0.53 0.76 0.86 0.81 0.67 0.56 0.54 0.64 0.76 0.80 0.69 0.47 0.23 0.12 0.21 0.47 0.78 0.98 0.96 0.74 0.42 0.14 0.02 0.07 0.22 0.33 0.33 0.21 0.04 0.00 0.00 0.07 0.27 0.43 0.48 0.43 0.33 0.28 0.34 0.49 0.67 0.79 0.79 0.68 0.51 0.37 0.31 0.35 0.42 0.45 0.38 0.22 50.0 + 52.5 0.30 0.08 0.00 0.00 0.02 0.20 0.32 0.31 0.19 0.06 0.04 0.20 0.51 0.84 1.03 0.99 0.74 0.40 0.13 0.06 0.20 0.44 0.65 0.72 0.65 0.52 0.46 0.53 0.70 0.86 0.89 0.75 0.48 0.21 0.10 0.21 0.50 0.84 1.07 1.07 0.86 0.55 0.29 0.20 0.27 0.43 0.55 0.55 0.41 0.21 0.06 0.02 0.12 0.28 0.41 0.46 0.42 0.35 0.33 0.42 0.59 0.77 0.86 0.82 0.65 0.42 0.26 0.22 0.31 0.45 0.52 0.47 0.30 0.08 0.00 0.00 0.02 0.20 0.32 0.31 0.19 0.06 0.04 0.20 0.51 0.84 1.03 0.99 0.74 0.40 0.13 0.06 0.20 0.44 0.65 0.72 0.65 0.52 0.46 0.53 0.70 0.86 0.89 0.75 0.48 0.21 0.10 0.21 0.50 0.84 1.07 1.07 0.86 0.55 0.29 0.20 0.27 0.43 0.55 0.55 0.41 0.21 0.06 0.02 0.12 0.28 0.41 0.46 0.42 0.35 0.33 0.42 0.59 0.77 0.86 0.82 0.65 0.42 0.26 0.22 0.31 0.45 0.52 0.47 0.30 52.5 + 55.0 0.48 0.23 0.03 0.00 0.06 0.21 0.31 0.29 0.16 0.03 0.01 0.17 0.48 0.80 0.97 0.91 0.65 0.31 0.06 0.02 0.16 0.39 0.56 0.61 0.53 0.44 0.43 0.56 0.78 0.97 0.99 0.81 0.50 0.20 0.05 0.15 0.43 0.76 0.99 1.02 0.85 0.60 0.40 0.34 0.43 0.60 0.73 0.75 0.64 0.46 0.31 0.26 0.31 0.42 0.51 0.53 0.49 0.43 0.42 0.51 0.66 0.81 0.85 0.75 0.53 0.29 0.13 0.14 0.30 0.51 0.66 0.65 0.48 0.23 0.03 0.00 0.06 0.21 0.31 0.29 0.16 0.03 0.01 0.17 0.48 0.80 0.97 0.91 0.65 0.31 0.06 0.02 0.16 0.39 0.56 0.61 0.53 0.44 0.43 0.56 0.78 0.97 0.99 0.81 0.50 0.20 0.05 0.15 0.43 0.76 0.99 1.02 0.85 0.60 0.40 0.34 0.43 0.60 0.73 0.75 0.64 0.46 0.31 0.26 0.31 0.42 0.51 0.53 0.49 0.43 0.42 0.51 0.66 0.81 0.85 0.75 0.53 0.29 0.13 0.14 0.30 0.51 0.66 0.65 0.48 55.0 + 57.5 0.72 0.49 0.28 0.20 0.25 0.36 0.43 0.38 0.23 0.08 0.05 0.19 0.46 0.74 0.88 0.81 0.56 0.26 0.06 0.04 0.19 0.40 0.55 0.57 0.50 0.43 0.46 0.63 0.86 1.04 1.05 0.85 0.51 0.19 0.02 0.08 0.31 0.60 0.81 0.86 0.76 0.60 0.47 0.45 0.55 0.70 0.83 0.86 0.80 0.69 0.59 0.55 0.59 0.65 0.69 0.67 0.60 0.53 0.51 0.58 0.69 0.78 0.78 0.63 0.40 0.16 0.04 0.10 0.33 0.61 0.82 0.86 0.72 0.49 0.28 0.20 0.25 0.36 0.43 0.38 0.23 0.08 0.05 0.19 0.46 0.74 0.88 0.81 0.56 0.26 0.06 0.04 0.19 0.40 0.55 0.57 0.50 0.43 0.46 0.63 0.86 1.04 1.05 0.85 0.51 0.19 0.02 0.08 0.31 0.60 0.81 0.86 0.76 0.60 0.47 0.45 0.55 0.70 0.83 0.86 0.80 0.69 0.59 0.55 0.59 0.65 0.69 0.67 0.60 0.53 0.51 0.58 0.69 0.78 0.78 0.63 0.40 0.16 0.04 0.10 0.33 0.61 0.82 0.86 0.72 57.5 + 60.0 0.94 0.74 0.55 0.46 0.50 0.58 0.61 0.54 0.37 0.21 0.15 0.25 0.48 0.71 0.83 0.77 0.56 0.31 0.16 0.17 0.31 0.50 0.61 0.61 0.53 0.48 0.52 0.68 0.89 1.04 1.02 0.81 0.49 0.19 0.02 0.03 0.21 0.43 0.62 0.69 0.66 0.59 0.54 0.55 0.63 0.74 0.83 0.87 0.85 0.82 0.79 0.80 0.83 0.86 0.84 0.77 0.67 0.58 0.54 0.57 0.64 0.69 0.65 0.50 0.28 0.08 0.00 0.11 0.38 0.71 0.96 1.04 0.94 0.74 0.55 0.46 0.50 0.58 0.61 0.54 0.37 0.21 0.15 0.25 0.48 0.71 0.83 0.77 0.56 0.31 0.16 0.17 0.31 0.50 0.61 0.61 0.53 0.48 0.52 0.68 0.89 1.04 1.02 0.81 0.49 0.19 0.02 0.03 0.21 0.43 0.62 0.69 0.66 0.59 0.54 0.55 0.63 0.74 0.83 0.87 0.85 0.82 0.79 0.80 0.83 0.86 0.84 0.77 0.67 0.58 0.54 0.57 0.64 0.69 0.65 0.50 0.28 0.08 0.00 0.11 0.38 0.71 0.96 1.04 0.94 60.0 + 62.5 1.02 0.86 0.71 0.65 0.69 0.77 0.79 0.71 0.55 0.38 0.30 0.37 0.56 0.75 0.86 0.82 0.67 0.50 0.40 0.43 0.55 0.68 0.75 0.72 0.63 0.56 0.59 0.70 0.85 0.94 0.89 0.69 0.42 0.16 0.01 0.01 0.13 0.29 0.44 0.53 0.56 0.57 0.58 0.61 0.66 0.70 0.73 0.74 0.75 0.78 0.83 0.88 0.91 0.91 0.84 0.73 0.61 0.50 0.45 0.47 0.52 0.55 0.51 0.38 0.21 0.06 0.03 0.16 0.43 0.74 0.99 1.09 1.02 0.86 0.71 0.65 0.69 0.77 0.79 0.71 0.55 0.38 0.30 0.37 0.56 0.75 0.86 0.82 0.67 0.50 0.40 0.43 0.55 0.68 0.75 0.72 0.63 0.56 0.59 0.70 0.85 0.94 0.89 0.69 0.42 0.16 0.01 0.01 0.13 0.29 0.44 0.53 0.56 0.57 0.58 0.61 0.66 0.70 0.73 0.74 0.75 0.78 0.83 0.88 0.91 0.91 0.84 0.73 0.61 0.50 0.45 0.47 0.52 0.55 0.51 0.38 0.21 0.06 0.03 0.16 0.43 0.74 0.99 1.09 1.02 62.5 + 65.0 0.91 0.79 0.70 0.68 0.75 0.85 0.90 0.85 0.71 0.55 0.48 0.53 0.68 0.87 0.98 1.00 0.92 0.83 0.80 0.85 0.95 1.04 1.05 0.97 0.85 0.75 0.73 0.77 0.83 0.83 0.74 0.54 0.31 0.11 0.00 0.00 0.06 0.16 0.26 0.34 0.40 0.47 0.53 0.57 0.58 0.55 0.51 0.48 0.49 0.55 0.65 0.74 0.78 0.76 0.67 0.54 0.41 0.32 0.28 0.31 0.37 0.41 0.40 0.32 0.19 0.09 0.08 0.20 0.42 0.68 0.88 0.96 0.91 0.79 0.70 0.68 0.75 0.85 0.90 0.85 0.71 0.55 0.48 0.53 0.68 0.87 0.98 1.00 0.92 0.83 0.80 0.85 0.95 1.04 1.05 0.97 0.85 0.75 0.73 0.77 0.83 0.83 0.74 0.54 0.31 0.11 0.00 0.00 0.06 0.16 0.26 0.34 0.40 0.47 0.53 0.57 0.58 0.55 0.51 0.48 0.49 0.55 0.65 0.74 0.78 0.76 0.67 0.54 0.41 0.32 0.28 0.31 0.37 0.41 0.40 0.32 0.19 0.09 0.08 0.20 0.42 0.68 0.88 0.96 0.91 65.0 + 67.5 0.67 0.59 0.54 0.58 0.70 0.85 0.94 0.93 0.84 0.71 0.66 0.71 0.86 1.05 1.21 1.29 1.31 1.33 1.38 1.48 1.60 1.66 1.63 1.51 1.34 1.18 1.08 1.03 0.97 0.87 0.71 0.49 0.27 0.10 0.01 0.00 0.02 0.05 0.08 0.12 0.17 0.26 0.35 0.40 0.39 0.32 0.21 0.14 0.13 0.20 0.33 0.45 0.51 0.50 0.41 0.28 0.17 0.12 0.12 0.19 0.27 0.34 0.35 0.31 0.23 0.16 0.14 0.21 0.35 0.53 0.66 0.71 0.67 0.59 0.54 0.58 0.70 0.85 0.94 0.93 0.84 0.71 0.66 0.71 0.86 1.05 1.21 1.29 1.31 1.33 1.38 1.48 1.60 1.66 1.63 1.51 1.34 1.18 1.08 1.03 0.97 0.87 0.71 0.49 0.27 0.10 0.01 0.00 0.02 0.05 0.08 0.12 0.17 0.26 0.35 0.40 0.39 0.32 0.21 0.14 0.13 0.20 0.33 0.45 0.51 0.50 0.41 0.28 0.17 0.12 0.12 0.19 0.27 0.34 0.35 0.31 0.23 0.16 0.14 0.21 0.35 0.53 0.66 0.71 0.67 67.5 + 70.0 0.40 0.36 0.36 0.46 0.64 0.83 0.97 1.00 0.95 0.86 0.83 0.91 1.08 1.30 1.51 1.68 1.81 1.95 2.13 2.34 2.52 2.61 2.56 2.40 2.18 1.95 1.76 1.60 1.43 1.21 0.94 0.65 0.40 0.22 0.13 0.10 0.08 0.04 0.00 0.00 0.00 0.01 0.11 0.19 0.19 0.11 0.00 0.00 0.00 0.00 0.05 0.20 0.29 0.29 0.22 0.11 0.04 0.03 0.09 0.19 0.30 0.38 0.40 0.37 0.30 0.23 0.18 0.19 0.26 0.35 0.42 0.44 0.40 0.36 0.36 0.46 0.64 0.83 0.97 1.00 0.95 0.86 0.83 0.91 1.08 1.30 1.51 1.68 1.81 1.95 2.13 2.34 2.52 2.61 2.56 2.40 2.18 1.95 1.76 1.60 1.43 1.21 0.94 0.65 0.40 0.22 0.13 0.10 0.08 0.04 0.00 0.00 0.00 0.01 0.11 0.19 0.19 0.11 0.00 0.00 0.00 0.00 0.05 0.20 0.29 0.29 0.22 0.11 0.04 0.03 0.09 0.19 0.30 0.38 0.40 0.37 0.30 0.23 0.18 0.19 0.26 0.35 0.42 0.44 0.40 70.0 + 72.5 0.23 0.22 0.28 0.42 0.64 0.86 1.02 1.08 1.04 0.99 1.00 1.12 1.33 1.60 1.86 2.10 2.34 2.62 2.96 3.32 3.62 3.78 3.76 3.58 3.30 3.00 2.72 2.46 2.19 1.86 1.48 1.09 0.77 0.55 0.44 0.39 0.32 0.21 0.05 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.02 0.20 0.31 0.32 0.24 0.14 0.08 0.11 0.21 0.35 0.46 0.52 0.52 0.46 0.37 0.27 0.20 0.18 0.19 0.23 0.26 0.26 0.23 0.22 0.28 0.42 0.64 0.86 1.02 1.08 1.04 0.99 1.00 1.12 1.33 1.60 1.86 2.10 2.34 2.62 2.96 3.32 3.62 3.78 3.76 3.58 3.30 3.00 2.72 2.46 2.19 1.86 1.48 1.09 0.77 0.55 0.44 0.39 0.32 0.21 0.05 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.02 0.20 0.31 0.32 0.24 0.14 0.08 0.11 0.21 0.35 0.46 0.52 0.52 0.46 0.37 0.27 0.20 0.18 0.19 0.23 0.26 0.26 0.23 72.5 + 75.0 0.19 0.22 0.31 0.48 0.72 0.94 1.09 1.13 1.10 1.08 1.13 1.30 1.56 1.86 2.15 2.43 2.75 3.15 3.65 4.19 4.65 4.92 4.95 4.74 4.41 4.04 3.70 3.38 3.03 2.62 2.15 1.68 1.29 1.03 0.91 0.85 0.77 0.60 0.36 0.12 0.00 0.00 0.10 0.27 0.38 0.36 0.25 0.11 0.06 0.14 0.32 0.51 0.62 0.59 0.47 0.34 0.27 0.31 0.43 0.58 0.68 0.69 0.62 0.51 0.38 0.27 0.20 0.17 0.17 0.19 0.20 0.20 0.19 0.22 0.31 0.48 0.72 0.94 1.09 1.13 1.10 1.08 1.13 1.30 1.56 1.86 2.15 2.43 2.75 3.15 3.65 4.19 4.65 4.92 4.95 4.74 4.41 4.04 3.70 3.38 3.03 2.62 2.15 1.68 1.29 1.03 0.91 0.85 0.77 0.60 0.36 0.12 0.00 0.00 0.10 0.27 0.38 0.36 0.25 0.11 0.06 0.14 0.32 0.51 0.62 0.59 0.47 0.34 0.27 0.31 0.43 0.58 0.68 0.69 0.62 0.51 0.38 0.27 0.20 0.17 0.17 0.19 0.20 0.20 0.19 75.0 + 77.5 0.23 0.28 0.40 0.59 0.81 1.00 1.10 1.10 1.06 1.05 1.15 1.37 1.68 1.99 2.26 2.53 2.86 3.33 3.97 4.67 5.29 5.67 5.73 5.51 5.12 4.71 4.33 4.00 3.63 3.19 2.68 2.16 1.75 1.49 1.40 1.37 1.31 1.12 0.83 0.52 0.31 0.29 0.44 0.67 0.83 0.85 0.75 0.62 0.57 0.66 0.85 1.03 1.09 0.99 0.77 0.55 0.43 0.46 0.59 0.73 0.80 0.75 0.61 0.43 0.28 0.18 0.14 0.14 0.17 0.20 0.22 0.22 0.23 0.28 0.40 0.59 0.81 1.00 1.10 1.10 1.06 1.05 1.15 1.37 1.68 1.99 2.26 2.53 2.86 3.33 3.97 4.67 5.29 5.67 5.73 5.51 5.12 4.71 4.33 4.00 3.63 3.19 2.68 2.16 1.75 1.49 1.40 1.37 1.31 1.12 0.83 0.52 0.31 0.29 0.44 0.67 0.83 0.85 0.75 0.62 0.57 0.66 0.85 1.03 1.09 0.99 0.77 0.55 0.43 0.46 0.59 0.73 0.80 0.75 0.61 0.43 0.28 0.18 0.14 0.14 0.17 0.20 0.22 0.22 0.23 77.5 + 80.0 0.22 0.29 0.42 0.61 0.80 0.93 0.96 0.90 0.83 0.83 0.98 1.26 1.59 1.87 2.08 2.26 2.54 3.03 3.74 4.56 5.29 5.74 5.81 5.56 5.14 4.70 4.34 4.04 3.73 3.32 2.82 2.32 1.93 1.73 1.71 1.76 1.75 1.58 1.26 0.91 0.68 0.66 0.85 1.11 1.31 1.35 1.25 1.11 1.07 1.17 1.37 1.53 1.51 1.28 0.92 0.58 0.39 0.40 0.54 0.69 0.73 0.62 0.41 0.19 0.03 0.00 0.00 0.07 0.14 0.19 0.20 0.20 0.22 0.29 0.42 0.61 0.80 0.93 0.96 0.90 0.83 0.83 0.98 1.26 1.59 1.87 2.08 2.26 2.54 3.03 3.74 4.56 5.29 5.74 5.81 5.56 5.14 4.70 4.34 4.04 3.73 3.32 2.82 2.32 1.93 1.73 1.71 1.76 1.75 1.58 1.26 0.91 0.68 0.66 0.85 1.11 1.31 1.35 1.25 1.11 1.07 1.17 1.37 1.53 1.51 1.28 0.92 0.58 0.39 0.40 0.54 0.69 0.73 0.62 0.41 0.19 0.03 0.00 0.00 0.07 0.14 0.19 0.20 0.20 0.22 80.0 + 82.5 0.09 0.17 0.31 0.48 0.63 0.70 0.64 0.51 0.41 0.42 0.61 0.92 1.25 1.47 1.56 1.62 1.80 2.24 2.98 3.86 4.65 5.11 5.17 4.88 4.44 4.02 3.72 3.50 3.27 2.94 2.51 2.07 1.76 1.66 1.75 1.90 1.95 1.80 1.49 1.13 0.90 0.89 1.10 1.39 1.59 1.62 1.50 1.36 1.34 1.48 1.69 1.81 1.69 1.32 0.80 0.34 0.08 0.09 0.25 0.42 0.45 0.31 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.10 0.08 0.09 0.17 0.31 0.48 0.63 0.70 0.64 0.51 0.41 0.42 0.61 0.92 1.25 1.47 1.56 1.62 1.80 2.24 2.98 3.86 4.65 5.11 5.17 4.88 4.44 4.02 3.72 3.50 3.27 2.94 2.51 2.07 1.76 1.66 1.75 1.90 1.95 1.80 1.49 1.13 0.90 0.89 1.10 1.39 1.59 1.62 1.50 1.36 1.34 1.48 1.69 1.81 1.69 1.32 0.80 0.34 0.08 0.09 0.25 0.42 0.45 0.31 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.10 0.08 0.09 82.5 + 85.0 0.00 0.00 0.07 0.23 0.34 0.33 0.20 0.01 0.00 0.00 0.11 0.44 0.74 0.88 0.84 0.75 0.82 1.21 1.92 2.81 3.60 4.05 4.07 3.76 3.32 2.95 2.74 2.64 2.51 2.27 1.91 1.56 1.34 1.35 1.55 1.79 1.90 1.78 1.46 1.10 0.88 0.90 1.12 1.41 1.59 1.59 1.45 1.33 1.35 1.54 1.78 1.86 1.66 1.15 0.49 0.00 0.00 0.00 0.00 0.07 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.34 0.33 0.20 0.01 0.00 0.00 0.11 0.44 0.74 0.88 0.84 0.75 0.82 1.21 1.92 2.81 3.60 4.05 4.07 3.76 3.32 2.95 2.74 2.64 2.51 2.27 1.91 1.56 1.34 1.35 1.55 1.79 1.90 1.78 1.46 1.10 0.88 0.90 1.12 1.41 1.59 1.59 1.45 1.33 1.35 1.54 1.78 1.86 1.66 1.15 0.49 0.00 0.00 0.00 0.00 0.07 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 85.0 + 87.5 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.28 0.13 0.00 0.00 0.25 0.94 1.81 2.56 2.97 2.95 2.63 2.23 1.95 1.85 1.85 1.82 1.64 1.35 1.06 0.93 1.03 1.32 1.61 1.75 1.63 1.31 0.96 0.75 0.79 1.03 1.30 1.45 1.43 1.30 1.22 1.32 1.57 1.84 1.90 1.62 1.00 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.28 0.13 0.00 0.00 0.25 0.94 1.81 2.56 2.97 2.95 2.63 2.23 1.95 1.85 1.85 1.82 1.64 1.35 1.06 0.93 1.03 1.32 1.61 1.75 1.63 1.31 0.96 0.75 0.79 1.03 1.30 1.45 1.43 1.30 1.22 1.32 1.57 1.84 1.90 1.62 1.00 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.0 + + 37.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.98 ) PHI2 = 38. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.0 + 2.5 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.14 0.93 0.72 0.56 0.45 0.41 0.40 0.36 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.01 1.77 1.51 1.27 1.05 0.84 0.64 0.49 0.39 0.37 0.38 0.36 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.14 0.93 0.72 0.56 0.45 0.41 0.40 0.36 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.34 0.38 0.39 0.44 0.55 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.24 2.28 2.20 2.01 1.77 1.51 1.27 1.05 0.84 0.64 0.49 0.39 0.37 0.38 0.36 0.27 0.09 2.5 + 5.0 0.30 0.12 0.00 0.00 0.00 0.11 0.30 0.45 0.50 0.47 0.40 0.36 0.39 0.50 0.67 0.88 1.12 1.38 1.67 1.95 2.18 2.31 2.32 2.20 1.99 1.74 1.48 1.23 1.00 0.80 0.64 0.55 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.43 0.45 0.47 0.53 0.65 0.82 1.03 1.27 1.52 1.79 2.05 2.27 2.40 2.40 2.25 2.01 1.71 1.40 1.13 0.89 0.68 0.50 0.37 0.32 0.34 0.40 0.45 0.42 0.30 0.12 0.00 0.00 0.00 0.11 0.30 0.45 0.50 0.47 0.40 0.36 0.39 0.50 0.67 0.88 1.12 1.38 1.67 1.95 2.18 2.31 2.32 2.20 1.99 1.74 1.48 1.23 1.00 0.80 0.64 0.55 0.51 0.50 0.46 0.35 0.16 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.43 0.45 0.47 0.53 0.65 0.82 1.03 1.27 1.52 1.79 2.05 2.27 2.40 2.40 2.25 2.01 1.71 1.40 1.13 0.89 0.68 0.50 0.37 0.32 0.34 0.40 0.45 0.42 0.30 5.0 + 7.5 0.59 0.47 0.35 0.29 0.33 0.45 0.59 0.69 0.70 0.62 0.50 0.40 0.36 0.41 0.54 0.74 0.98 1.26 1.57 1.88 2.17 2.36 2.43 2.37 2.19 1.94 1.66 1.39 1.15 0.97 0.84 0.78 0.77 0.77 0.74 0.64 0.48 0.30 0.16 0.12 0.20 0.36 0.52 0.65 0.71 0.73 0.74 0.79 0.90 1.07 1.27 1.50 1.77 2.05 2.32 2.52 2.60 2.53 2.31 1.99 1.63 1.28 0.99 0.74 0.54 0.40 0.31 0.31 0.38 0.50 0.60 0.64 0.59 0.47 0.35 0.29 0.33 0.45 0.59 0.69 0.70 0.62 0.50 0.40 0.36 0.41 0.54 0.74 0.98 1.26 1.57 1.88 2.17 2.36 2.43 2.37 2.19 1.94 1.66 1.39 1.15 0.97 0.84 0.78 0.77 0.77 0.74 0.64 0.48 0.30 0.16 0.12 0.20 0.36 0.52 0.65 0.71 0.73 0.74 0.79 0.90 1.07 1.27 1.50 1.77 2.05 2.32 2.52 2.60 2.53 2.31 1.99 1.63 1.28 0.99 0.74 0.54 0.40 0.31 0.31 0.38 0.50 0.60 0.64 0.59 7.5 + 10.0 0.90 0.84 0.75 0.70 0.71 0.78 0.89 0.96 0.95 0.86 0.71 0.56 0.47 0.46 0.55 0.71 0.93 1.19 1.49 1.81 2.12 2.37 2.50 2.50 2.37 2.14 1.87 1.60 1.38 1.23 1.15 1.15 1.18 1.21 1.20 1.13 1.00 0.87 0.78 0.78 0.86 1.00 1.13 1.21 1.24 1.23 1.23 1.27 1.35 1.48 1.64 1.85 2.09 2.36 2.59 2.75 2.76 2.61 2.32 1.94 1.55 1.19 0.90 0.68 0.52 0.42 0.39 0.43 0.53 0.68 0.81 0.90 0.90 0.84 0.75 0.70 0.71 0.78 0.89 0.96 0.95 0.86 0.71 0.56 0.47 0.46 0.55 0.71 0.93 1.19 1.49 1.81 2.12 2.37 2.50 2.50 2.37 2.14 1.87 1.60 1.38 1.23 1.15 1.15 1.18 1.21 1.20 1.13 1.00 0.87 0.78 0.78 0.86 1.00 1.13 1.21 1.24 1.23 1.23 1.27 1.35 1.48 1.64 1.85 2.09 2.36 2.59 2.75 2.76 2.61 2.32 1.94 1.55 1.19 0.90 0.68 0.52 0.42 0.39 0.43 0.53 0.68 0.81 0.90 0.90 10.0 + 12.5 1.16 1.13 1.07 1.02 1.00 1.04 1.11 1.17 1.18 1.11 0.97 0.82 0.70 0.65 0.69 0.81 0.98 1.19 1.44 1.72 2.02 2.29 2.49 2.55 2.48 2.30 2.05 1.81 1.62 1.51 1.49 1.55 1.64 1.71 1.74 1.69 1.61 1.52 1.48 1.51 1.61 1.73 1.83 1.88 1.87 1.83 1.81 1.82 1.87 1.95 2.07 2.22 2.42 2.62 2.79 2.87 2.80 2.57 2.23 1.83 1.45 1.13 0.89 0.73 0.63 0.58 0.58 0.65 0.76 0.90 1.03 1.12 1.16 1.13 1.07 1.02 1.00 1.04 1.11 1.17 1.18 1.11 0.97 0.82 0.70 0.65 0.69 0.81 0.98 1.19 1.44 1.72 2.02 2.29 2.49 2.55 2.48 2.30 2.05 1.81 1.62 1.51 1.49 1.55 1.64 1.71 1.74 1.69 1.61 1.52 1.48 1.51 1.61 1.73 1.83 1.88 1.87 1.83 1.81 1.82 1.87 1.95 2.07 2.22 2.42 2.62 2.79 2.87 2.80 2.57 2.23 1.83 1.45 1.13 0.89 0.73 0.63 0.58 0.58 0.65 0.76 0.90 1.03 1.12 1.16 12.5 + 15.0 1.29 1.29 1.25 1.20 1.15 1.15 1.19 1.25 1.28 1.27 1.18 1.06 0.94 0.87 0.87 0.94 1.04 1.18 1.36 1.59 1.86 2.14 2.38 2.51 2.50 2.37 2.16 1.94 1.77 1.69 1.71 1.81 1.95 2.07 2.13 2.13 2.09 2.04 2.04 2.11 2.21 2.33 2.40 2.40 2.36 2.29 2.25 2.23 2.25 2.30 2.38 2.49 2.63 2.76 2.84 2.82 2.66 2.37 2.00 1.62 1.29 1.04 0.88 0.79 0.76 0.76 0.79 0.86 0.95 1.05 1.16 1.24 1.29 1.29 1.25 1.20 1.15 1.15 1.19 1.25 1.28 1.27 1.18 1.06 0.94 0.87 0.87 0.94 1.04 1.18 1.36 1.59 1.86 2.14 2.38 2.51 2.50 2.37 2.16 1.94 1.77 1.69 1.71 1.81 1.95 2.07 2.13 2.13 2.09 2.04 2.04 2.11 2.21 2.33 2.40 2.40 2.36 2.29 2.25 2.23 2.25 2.30 2.38 2.49 2.63 2.76 2.84 2.82 2.66 2.37 2.00 1.62 1.29 1.04 0.88 0.79 0.76 0.76 0.79 0.86 0.95 1.05 1.16 1.24 1.29 15.0 + 17.5 1.26 1.30 1.28 1.22 1.15 1.09 1.09 1.14 1.20 1.24 1.22 1.14 1.05 0.98 0.96 0.98 1.04 1.12 1.24 1.42 1.65 1.93 2.20 2.38 2.43 2.34 2.15 1.94 1.77 1.69 1.72 1.83 1.99 2.14 2.24 2.29 2.29 2.29 2.32 2.40 2.51 2.61 2.65 2.62 2.54 2.44 2.37 2.35 2.37 2.42 2.48 2.57 2.65 2.71 2.69 2.58 2.34 2.01 1.65 1.31 1.05 0.88 0.80 0.78 0.79 0.83 0.88 0.93 0.99 1.05 1.12 1.19 1.26 1.30 1.28 1.22 1.15 1.09 1.09 1.14 1.20 1.24 1.22 1.14 1.05 0.98 0.96 0.98 1.04 1.12 1.24 1.42 1.65 1.93 2.20 2.38 2.43 2.34 2.15 1.94 1.77 1.69 1.72 1.83 1.99 2.14 2.24 2.29 2.29 2.29 2.32 2.40 2.51 2.61 2.65 2.62 2.54 2.44 2.37 2.35 2.37 2.42 2.48 2.57 2.65 2.71 2.69 2.58 2.34 2.01 1.65 1.31 1.05 0.88 0.80 0.78 0.79 0.83 0.88 0.93 0.99 1.05 1.12 1.19 1.26 17.5 + 20.0 1.07 1.15 1.17 1.12 1.01 0.90 0.84 0.86 0.93 1.00 1.04 1.01 0.95 0.89 0.87 0.88 0.92 0.98 1.07 1.21 1.43 1.70 1.97 2.18 2.27 2.22 2.05 1.84 1.65 1.55 1.54 1.64 1.79 1.96 2.10 2.20 2.25 2.30 2.37 2.46 2.57 2.64 2.64 2.57 2.45 2.33 2.24 2.21 2.23 2.29 2.37 2.45 2.49 2.48 2.38 2.19 1.89 1.55 1.21 0.93 0.74 0.64 0.60 0.61 0.65 0.71 0.76 0.80 0.82 0.85 0.90 0.97 1.07 1.15 1.17 1.12 1.01 0.90 0.84 0.86 0.93 1.00 1.04 1.01 0.95 0.89 0.87 0.88 0.92 0.98 1.07 1.21 1.43 1.70 1.97 2.18 2.27 2.22 2.05 1.84 1.65 1.55 1.54 1.64 1.79 1.96 2.10 2.20 2.25 2.30 2.37 2.46 2.57 2.64 2.64 2.57 2.45 2.33 2.24 2.21 2.23 2.29 2.37 2.45 2.49 2.48 2.38 2.19 1.89 1.55 1.21 0.93 0.74 0.64 0.60 0.61 0.65 0.71 0.76 0.80 0.82 0.85 0.90 0.97 1.07 20.0 + 22.5 0.76 0.89 0.95 0.91 0.78 0.61 0.50 0.47 0.53 0.63 0.70 0.71 0.68 0.64 0.63 0.65 0.70 0.77 0.86 1.00 1.20 1.46 1.74 1.95 2.06 2.03 1.89 1.69 1.50 1.36 1.33 1.39 1.53 1.71 1.89 2.05 2.17 2.29 2.40 2.51 2.61 2.66 2.63 2.52 2.36 2.20 2.08 2.02 2.04 2.10 2.17 2.22 2.23 2.15 1.98 1.71 1.39 1.05 0.76 0.54 0.40 0.33 0.31 0.33 0.37 0.42 0.47 0.49 0.50 0.50 0.54 0.63 0.76 0.89 0.95 0.91 0.78 0.61 0.50 0.47 0.53 0.63 0.70 0.71 0.68 0.64 0.63 0.65 0.70 0.77 0.86 1.00 1.20 1.46 1.74 1.95 2.06 2.03 1.89 1.69 1.50 1.36 1.33 1.39 1.53 1.71 1.89 2.05 2.17 2.29 2.40 2.51 2.61 2.66 2.63 2.52 2.36 2.20 2.08 2.02 2.04 2.10 2.17 2.22 2.23 2.15 1.98 1.71 1.39 1.05 0.76 0.54 0.40 0.33 0.31 0.33 0.37 0.42 0.47 0.49 0.50 0.50 0.54 0.63 0.76 22.5 + 25.0 0.40 0.57 0.67 0.64 0.50 0.30 0.14 0.08 0.13 0.23 0.33 0.37 0.36 0.34 0.34 0.39 0.46 0.55 0.66 0.81 0.99 1.23 1.47 1.68 1.79 1.79 1.69 1.54 1.38 1.26 1.22 1.27 1.40 1.59 1.82 2.04 2.25 2.44 2.61 2.76 2.86 2.90 2.86 2.72 2.53 2.33 2.16 2.05 2.01 2.01 2.03 2.02 1.95 1.79 1.55 1.24 0.90 0.60 0.35 0.19 0.09 0.03 0.01 0.01 0.03 0.08 0.12 0.15 0.14 0.12 0.14 0.24 0.40 0.57 0.67 0.64 0.50 0.30 0.14 0.08 0.13 0.23 0.33 0.37 0.36 0.34 0.34 0.39 0.46 0.55 0.66 0.81 0.99 1.23 1.47 1.68 1.79 1.79 1.69 1.54 1.38 1.26 1.22 1.27 1.40 1.59 1.82 2.04 2.25 2.44 2.61 2.76 2.86 2.90 2.86 2.72 2.53 2.33 2.16 2.05 2.01 2.01 2.03 2.02 1.95 1.79 1.55 1.24 0.90 0.60 0.35 0.19 0.09 0.03 0.01 0.01 0.03 0.08 0.12 0.15 0.14 0.12 0.14 0.24 0.40 25.0 + 27.5 0.06 0.25 0.37 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.04 0.10 0.11 0.10 0.11 0.17 0.26 0.38 0.50 0.63 0.79 0.98 1.18 1.35 1.46 1.50 1.47 1.40 1.33 1.29 1.29 1.36 1.49 1.69 1.95 2.23 2.52 2.79 3.03 3.22 3.35 3.40 3.36 3.23 3.03 2.79 2.56 2.36 2.22 2.12 2.03 1.91 1.73 1.47 1.16 0.81 0.49 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.25 0.37 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.04 0.10 0.11 0.10 0.11 0.17 0.26 0.38 0.50 0.63 0.79 0.98 1.18 1.35 1.46 1.50 1.47 1.40 1.33 1.29 1.29 1.36 1.49 1.69 1.95 2.23 2.52 2.79 3.03 3.22 3.35 3.40 3.36 3.23 3.03 2.79 2.56 2.36 2.22 2.12 2.03 1.91 1.73 1.47 1.16 0.81 0.49 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 27.5 + 30.0 0.00 0.00 0.13 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.25 0.36 0.47 0.58 0.72 0.86 0.99 1.10 1.17 1.22 1.26 1.31 1.37 1.45 1.56 1.70 1.90 2.16 2.47 2.80 3.13 3.43 3.66 3.83 3.91 3.91 3.80 3.62 3.37 3.10 2.82 2.56 2.33 2.10 1.85 1.56 1.22 0.85 0.49 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.25 0.36 0.47 0.58 0.72 0.86 0.99 1.10 1.17 1.22 1.26 1.31 1.37 1.45 1.56 1.70 1.90 2.16 2.47 2.80 3.13 3.43 3.66 3.83 3.91 3.91 3.80 3.62 3.37 3.10 2.82 2.56 2.33 2.10 1.85 1.56 1.22 0.85 0.49 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.17 0.25 0.32 0.39 0.48 0.58 0.68 0.78 0.87 0.97 1.10 1.25 1.42 1.57 1.70 1.84 2.00 2.22 2.50 2.84 3.19 3.51 3.77 3.96 4.08 4.11 4.07 3.94 3.72 3.44 3.11 2.78 2.45 2.12 1.79 1.42 1.04 0.64 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.17 0.25 0.32 0.39 0.48 0.58 0.68 0.78 0.87 0.97 1.10 1.25 1.42 1.57 1.70 1.84 2.00 2.22 2.50 2.84 3.19 3.51 3.77 3.96 4.08 4.11 4.07 3.94 3.72 3.44 3.11 2.78 2.45 2.12 1.79 1.42 1.04 0.64 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.03 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.02 0.02 0.03 0.07 0.11 0.16 0.21 0.27 0.35 0.43 0.51 0.58 0.65 0.76 0.92 1.13 1.34 1.53 1.66 1.75 1.84 1.97 2.19 2.48 2.80 3.10 3.35 3.53 3.66 3.73 3.75 3.69 3.55 3.31 3.00 2.66 2.31 1.96 1.63 1.28 0.92 0.55 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.03 0.02 0.02 0.03 0.07 0.11 0.16 0.21 0.27 0.35 0.43 0.51 0.58 0.65 0.76 0.92 1.13 1.34 1.53 1.66 1.75 1.84 1.97 2.19 2.48 2.80 3.10 3.35 3.53 3.66 3.73 3.75 3.69 3.55 3.31 3.00 2.66 2.31 1.96 1.63 1.28 0.92 0.55 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 35.0 + 37.5 0.00 0.08 0.20 0.27 0.26 0.19 0.09 0.01 0.00 0.01 0.05 0.09 0.11 0.11 0.11 0.10 0.09 0.09 0.10 0.16 0.25 0.36 0.46 0.53 0.56 0.58 0.64 0.77 0.96 1.17 1.33 1.42 1.43 1.42 1.46 1.59 1.80 2.06 2.31 2.50 2.63 2.73 2.81 2.87 2.89 2.83 2.68 2.45 2.17 1.88 1.61 1.37 1.12 0.86 0.56 0.28 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.28 0.25 0.14 0.03 0.00 0.00 0.08 0.20 0.27 0.26 0.19 0.09 0.01 0.00 0.01 0.05 0.09 0.11 0.11 0.11 0.10 0.09 0.09 0.10 0.16 0.25 0.36 0.46 0.53 0.56 0.58 0.64 0.77 0.96 1.17 1.33 1.42 1.43 1.42 1.46 1.59 1.80 2.06 2.31 2.50 2.63 2.73 2.81 2.87 2.89 2.83 2.68 2.45 2.17 1.88 1.61 1.37 1.12 0.86 0.56 0.28 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.28 0.25 0.14 0.03 0.00 0.00 37.5 + 40.0 0.21 0.29 0.40 0.49 0.53 0.49 0.39 0.28 0.19 0.15 0.15 0.18 0.22 0.25 0.25 0.21 0.15 0.10 0.10 0.17 0.32 0.50 0.64 0.71 0.70 0.64 0.62 0.67 0.80 0.96 1.07 1.08 1.01 0.91 0.86 0.92 1.08 1.28 1.46 1.56 1.60 1.62 1.66 1.74 1.82 1.85 1.80 1.65 1.46 1.28 1.14 1.05 0.96 0.84 0.65 0.42 0.19 0.02 0.00 0.00 0.00 0.00 0.03 0.09 0.18 0.28 0.38 0.44 0.43 0.35 0.26 0.20 0.21 0.29 0.40 0.49 0.53 0.49 0.39 0.28 0.19 0.15 0.15 0.18 0.22 0.25 0.25 0.21 0.15 0.10 0.10 0.17 0.32 0.50 0.64 0.71 0.70 0.64 0.62 0.67 0.80 0.96 1.07 1.08 1.01 0.91 0.86 0.92 1.08 1.28 1.46 1.56 1.60 1.62 1.66 1.74 1.82 1.85 1.80 1.65 1.46 1.28 1.14 1.05 0.96 0.84 0.65 0.42 0.19 0.02 0.00 0.00 0.00 0.00 0.03 0.09 0.18 0.28 0.38 0.44 0.43 0.35 0.26 0.20 0.21 40.0 + 42.5 0.37 0.42 0.53 0.64 0.72 0.72 0.64 0.50 0.35 0.25 0.23 0.28 0.37 0.45 0.46 0.39 0.27 0.15 0.12 0.22 0.43 0.68 0.87 0.94 0.88 0.75 0.64 0.62 0.69 0.79 0.84 0.78 0.63 0.47 0.39 0.44 0.59 0.77 0.88 0.89 0.81 0.72 0.69 0.75 0.86 0.96 0.97 0.90 0.79 0.69 0.67 0.73 0.80 0.81 0.73 0.55 0.34 0.15 0.05 0.04 0.11 0.20 0.27 0.33 0.38 0.43 0.48 0.52 0.53 0.49 0.43 0.37 0.37 0.42 0.53 0.64 0.72 0.72 0.64 0.50 0.35 0.25 0.23 0.28 0.37 0.45 0.46 0.39 0.27 0.15 0.12 0.22 0.43 0.68 0.87 0.94 0.88 0.75 0.64 0.62 0.69 0.79 0.84 0.78 0.63 0.47 0.39 0.44 0.59 0.77 0.88 0.89 0.81 0.72 0.69 0.75 0.86 0.96 0.97 0.90 0.79 0.69 0.67 0.73 0.80 0.81 0.73 0.55 0.34 0.15 0.05 0.04 0.11 0.20 0.27 0.33 0.38 0.43 0.48 0.52 0.53 0.49 0.43 0.37 0.37 42.5 + 45.0 0.39 0.40 0.48 0.62 0.75 0.80 0.75 0.61 0.43 0.31 0.29 0.39 0.55 0.69 0.72 0.60 0.40 0.21 0.14 0.25 0.50 0.80 1.02 1.07 0.97 0.79 0.64 0.59 0.64 0.70 0.70 0.59 0.39 0.21 0.15 0.24 0.44 0.64 0.73 0.65 0.46 0.26 0.15 0.17 0.29 0.41 0.46 0.41 0.31 0.25 0.29 0.43 0.61 0.74 0.74 0.61 0.41 0.22 0.14 0.18 0.30 0.44 0.53 0.56 0.54 0.51 0.50 0.52 0.54 0.54 0.50 0.43 0.39 0.40 0.48 0.62 0.75 0.80 0.75 0.61 0.43 0.31 0.29 0.39 0.55 0.69 0.72 0.60 0.40 0.21 0.14 0.25 0.50 0.80 1.02 1.07 0.97 0.79 0.64 0.59 0.64 0.70 0.70 0.59 0.39 0.21 0.15 0.24 0.44 0.64 0.73 0.65 0.46 0.26 0.15 0.17 0.29 0.41 0.46 0.41 0.31 0.25 0.29 0.43 0.61 0.74 0.74 0.61 0.41 0.22 0.14 0.18 0.30 0.44 0.53 0.56 0.54 0.51 0.50 0.52 0.54 0.54 0.50 0.43 0.39 45.0 + 47.5 0.28 0.23 0.27 0.41 0.59 0.71 0.71 0.58 0.41 0.29 0.31 0.48 0.73 0.93 0.96 0.81 0.52 0.25 0.12 0.21 0.48 0.78 0.99 1.02 0.88 0.69 0.54 0.52 0.60 0.67 0.65 0.49 0.27 0.10 0.08 0.26 0.54 0.80 0.88 0.76 0.48 0.18 0.01 0.00 0.12 0.25 0.29 0.22 0.09 0.00 0.02 0.18 0.40 0.59 0.65 0.55 0.38 0.23 0.19 0.29 0.48 0.66 0.76 0.75 0.64 0.51 0.44 0.43 0.47 0.50 0.48 0.39 0.28 0.23 0.27 0.41 0.59 0.71 0.71 0.58 0.41 0.29 0.31 0.48 0.73 0.93 0.96 0.81 0.52 0.25 0.12 0.21 0.48 0.78 0.99 1.02 0.88 0.69 0.54 0.52 0.60 0.67 0.65 0.49 0.27 0.10 0.08 0.26 0.54 0.80 0.88 0.76 0.48 0.18 0.01 0.00 0.12 0.25 0.29 0.22 0.09 0.00 0.02 0.18 0.40 0.59 0.65 0.55 0.38 0.23 0.19 0.29 0.48 0.66 0.76 0.75 0.64 0.51 0.44 0.43 0.47 0.50 0.48 0.39 0.28 47.5 + 50.0 0.13 0.00 0.00 0.13 0.33 0.51 0.55 0.46 0.30 0.21 0.28 0.52 0.85 1.10 1.14 0.94 0.58 0.23 0.06 0.12 0.37 0.65 0.83 0.82 0.66 0.48 0.39 0.44 0.57 0.68 0.65 0.46 0.21 0.04 0.07 0.33 0.70 1.01 1.12 0.97 0.65 0.30 0.09 0.07 0.19 0.32 0.35 0.25 0.06 0.00 0.00 0.00 0.23 0.43 0.51 0.44 0.30 0.20 0.22 0.38 0.63 0.84 0.92 0.84 0.64 0.43 0.30 0.30 0.37 0.44 0.43 0.31 0.13 0.00 0.00 0.13 0.33 0.51 0.55 0.46 0.30 0.21 0.28 0.52 0.85 1.10 1.14 0.94 0.58 0.23 0.06 0.12 0.37 0.65 0.83 0.82 0.66 0.48 0.39 0.44 0.57 0.68 0.65 0.46 0.21 0.04 0.07 0.33 0.70 1.01 1.12 0.97 0.65 0.30 0.09 0.07 0.19 0.32 0.35 0.25 0.06 0.00 0.00 0.00 0.23 0.43 0.51 0.44 0.30 0.20 0.22 0.38 0.63 0.84 0.92 0.84 0.64 0.43 0.30 0.30 0.37 0.44 0.43 0.31 0.13 50.0 + 52.5 0.07 0.00 0.00 0.00 0.13 0.32 0.39 0.31 0.17 0.09 0.20 0.50 0.88 1.16 1.21 0.98 0.58 0.19 0.00 0.03 0.25 0.50 0.62 0.58 0.42 0.27 0.25 0.38 0.58 0.72 0.67 0.46 0.17 0.00 0.05 0.34 0.75 1.10 1.23 1.09 0.77 0.42 0.21 0.20 0.32 0.46 0.49 0.36 0.14 0.00 0.00 0.00 0.15 0.34 0.42 0.37 0.26 0.20 0.26 0.47 0.74 0.95 0.99 0.83 0.56 0.29 0.14 0.17 0.30 0.42 0.44 0.30 0.07 0.00 0.00 0.00 0.13 0.32 0.39 0.31 0.17 0.09 0.20 0.50 0.88 1.16 1.21 0.98 0.58 0.19 0.00 0.03 0.25 0.50 0.62 0.58 0.42 0.27 0.25 0.38 0.58 0.72 0.67 0.46 0.17 0.00 0.05 0.34 0.75 1.10 1.23 1.09 0.77 0.42 0.21 0.20 0.32 0.46 0.49 0.36 0.14 0.00 0.00 0.00 0.15 0.34 0.42 0.37 0.26 0.20 0.26 0.47 0.74 0.95 0.99 0.83 0.56 0.29 0.14 0.17 0.30 0.42 0.44 0.30 0.07 52.5 + 55.0 0.18 0.00 0.00 0.00 0.08 0.26 0.31 0.22 0.07 0.00 0.12 0.44 0.83 1.12 1.16 0.93 0.53 0.15 0.00 0.00 0.18 0.39 0.48 0.41 0.26 0.15 0.20 0.39 0.64 0.79 0.73 0.48 0.17 0.00 0.00 0.28 0.69 1.04 1.17 1.06 0.78 0.48 0.30 0.31 0.44 0.58 0.61 0.50 0.29 0.10 0.02 0.09 0.25 0.40 0.46 0.41 0.31 0.27 0.35 0.57 0.82 0.99 0.97 0.76 0.43 0.14 0.02 0.09 0.30 0.50 0.56 0.43 0.18 0.00 0.00 0.00 0.08 0.26 0.31 0.22 0.07 0.00 0.12 0.44 0.83 1.12 1.16 0.93 0.53 0.15 0.00 0.00 0.18 0.39 0.48 0.41 0.26 0.15 0.20 0.39 0.64 0.79 0.73 0.48 0.17 0.00 0.00 0.28 0.69 1.04 1.17 1.06 0.78 0.48 0.30 0.31 0.44 0.58 0.61 0.50 0.29 0.10 0.02 0.09 0.25 0.40 0.46 0.41 0.31 0.27 0.35 0.57 0.82 0.99 0.97 0.76 0.43 0.14 0.02 0.09 0.30 0.50 0.56 0.43 0.18 55.0 + 57.5 0.45 0.19 0.05 0.07 0.21 0.34 0.35 0.23 0.06 0.00 0.07 0.36 0.74 1.01 1.05 0.84 0.47 0.13 0.00 0.00 0.19 0.37 0.43 0.35 0.22 0.15 0.24 0.47 0.73 0.87 0.79 0.53 0.20 0.00 0.00 0.21 0.56 0.88 1.02 0.94 0.73 0.51 0.39 0.41 0.53 0.66 0.69 0.62 0.47 0.33 0.29 0.36 0.49 0.60 0.62 0.54 0.43 0.38 0.45 0.64 0.85 0.97 0.90 0.65 0.32 0.05 0.00 0.11 0.39 0.66 0.78 0.69 0.45 0.19 0.05 0.07 0.21 0.34 0.35 0.23 0.06 0.00 0.07 0.36 0.74 1.01 1.05 0.84 0.47 0.13 0.00 0.00 0.19 0.37 0.43 0.35 0.22 0.15 0.24 0.47 0.73 0.87 0.79 0.53 0.20 0.00 0.00 0.21 0.56 0.88 1.02 0.94 0.73 0.51 0.39 0.41 0.53 0.66 0.69 0.62 0.47 0.33 0.29 0.36 0.49 0.60 0.62 0.54 0.43 0.38 0.45 0.64 0.85 0.97 0.90 0.65 0.32 0.05 0.00 0.11 0.39 0.66 0.78 0.69 0.45 57.5 + 60.0 0.74 0.50 0.35 0.35 0.44 0.51 0.48 0.33 0.13 0.01 0.07 0.32 0.64 0.88 0.91 0.73 0.42 0.14 0.02 0.08 0.25 0.40 0.44 0.36 0.25 0.21 0.32 0.55 0.79 0.90 0.82 0.57 0.26 0.05 0.02 0.18 0.46 0.71 0.84 0.81 0.69 0.55 0.49 0.52 0.61 0.70 0.73 0.68 0.60 0.55 0.56 0.65 0.76 0.82 0.78 0.67 0.53 0.46 0.50 0.64 0.81 0.89 0.80 0.56 0.26 0.03 0.01 0.20 0.53 0.84 1.01 0.95 0.74 0.50 0.35 0.35 0.44 0.51 0.48 0.33 0.13 0.01 0.07 0.32 0.64 0.88 0.91 0.73 0.42 0.14 0.02 0.08 0.25 0.40 0.44 0.36 0.25 0.21 0.32 0.55 0.79 0.90 0.82 0.57 0.26 0.05 0.02 0.18 0.46 0.71 0.84 0.81 0.69 0.55 0.49 0.52 0.61 0.70 0.73 0.68 0.60 0.55 0.56 0.65 0.76 0.82 0.78 0.67 0.53 0.46 0.50 0.64 0.81 0.89 0.80 0.56 0.26 0.03 0.01 0.20 0.53 0.84 1.01 0.95 0.74 60.0 + 62.5 0.92 0.71 0.57 0.56 0.62 0.67 0.62 0.46 0.25 0.11 0.13 0.31 0.57 0.76 0.79 0.64 0.40 0.20 0.12 0.19 0.34 0.45 0.47 0.40 0.30 0.28 0.38 0.58 0.77 0.86 0.78 0.56 0.30 0.11 0.07 0.18 0.37 0.55 0.66 0.67 0.63 0.57 0.56 0.59 0.63 0.66 0.66 0.62 0.60 0.61 0.69 0.80 0.88 0.90 0.82 0.67 0.51 0.42 0.44 0.56 0.69 0.76 0.69 0.49 0.25 0.08 0.09 0.30 0.62 0.94 1.11 1.09 0.92 0.71 0.57 0.56 0.62 0.67 0.62 0.46 0.25 0.11 0.13 0.31 0.57 0.76 0.79 0.64 0.40 0.20 0.12 0.19 0.34 0.45 0.47 0.40 0.30 0.28 0.38 0.58 0.77 0.86 0.78 0.56 0.30 0.11 0.07 0.18 0.37 0.55 0.66 0.67 0.63 0.57 0.56 0.59 0.63 0.66 0.66 0.62 0.60 0.61 0.69 0.80 0.88 0.90 0.82 0.67 0.51 0.42 0.44 0.56 0.69 0.76 0.69 0.49 0.25 0.08 0.09 0.30 0.62 0.94 1.11 1.09 0.92 62.5 + 65.0 0.88 0.71 0.61 0.62 0.69 0.75 0.72 0.57 0.38 0.24 0.23 0.36 0.55 0.70 0.73 0.63 0.47 0.33 0.31 0.39 0.52 0.61 0.60 0.52 0.43 0.40 0.47 0.61 0.74 0.78 0.69 0.51 0.30 0.15 0.11 0.17 0.28 0.39 0.46 0.48 0.48 0.49 0.51 0.54 0.54 0.51 0.45 0.40 0.40 0.46 0.58 0.70 0.78 0.77 0.67 0.50 0.35 0.27 0.29 0.40 0.54 0.62 0.59 0.45 0.27 0.15 0.17 0.34 0.61 0.87 1.02 1.01 0.88 0.71 0.61 0.62 0.69 0.75 0.72 0.57 0.38 0.24 0.23 0.36 0.55 0.70 0.73 0.63 0.47 0.33 0.31 0.39 0.52 0.61 0.60 0.52 0.43 0.40 0.47 0.61 0.74 0.78 0.69 0.51 0.30 0.15 0.11 0.17 0.28 0.39 0.46 0.48 0.48 0.49 0.51 0.54 0.54 0.51 0.45 0.40 0.40 0.46 0.58 0.70 0.78 0.77 0.67 0.50 0.35 0.27 0.29 0.40 0.54 0.62 0.59 0.45 0.27 0.15 0.17 0.34 0.61 0.87 1.02 1.01 0.88 65.0 + 67.5 0.66 0.55 0.50 0.55 0.66 0.76 0.77 0.68 0.52 0.40 0.37 0.46 0.61 0.75 0.80 0.75 0.67 0.63 0.68 0.80 0.94 1.02 1.00 0.90 0.78 0.71 0.72 0.78 0.82 0.80 0.68 0.50 0.32 0.20 0.16 0.18 0.22 0.25 0.25 0.24 0.25 0.29 0.33 0.36 0.34 0.26 0.16 0.08 0.07 0.15 0.29 0.44 0.52 0.51 0.40 0.25 0.13 0.08 0.13 0.27 0.42 0.52 0.52 0.43 0.30 0.20 0.20 0.31 0.49 0.68 0.78 0.76 0.66 0.55 0.50 0.55 0.66 0.76 0.77 0.68 0.52 0.40 0.37 0.46 0.61 0.75 0.80 0.75 0.67 0.63 0.68 0.80 0.94 1.02 1.00 0.90 0.78 0.71 0.72 0.78 0.82 0.80 0.68 0.50 0.32 0.20 0.16 0.18 0.22 0.25 0.25 0.24 0.25 0.29 0.33 0.36 0.34 0.26 0.16 0.08 0.07 0.15 0.29 0.44 0.52 0.51 0.40 0.25 0.13 0.08 0.13 0.27 0.42 0.52 0.52 0.43 0.30 0.20 0.20 0.31 0.49 0.68 0.78 0.76 0.66 67.5 + 70.0 0.41 0.35 0.36 0.46 0.62 0.77 0.84 0.80 0.69 0.59 0.57 0.65 0.80 0.94 1.03 1.06 1.08 1.15 1.31 1.52 1.72 1.83 1.80 1.68 1.51 1.38 1.30 1.26 1.21 1.09 0.90 0.68 0.49 0.36 0.31 0.30 0.29 0.23 0.15 0.07 0.04 0.06 0.13 0.17 0.16 0.06 0.00 0.00 0.00 0.00 0.04 0.21 0.30 0.30 0.21 0.08 0.00 0.00 0.08 0.24 0.39 0.50 0.51 0.44 0.32 0.22 0.18 0.23 0.33 0.44 0.50 0.48 0.41 0.35 0.36 0.46 0.62 0.77 0.84 0.80 0.69 0.59 0.57 0.65 0.80 0.94 1.03 1.06 1.08 1.15 1.31 1.52 1.72 1.83 1.80 1.68 1.51 1.38 1.30 1.26 1.21 1.09 0.90 0.68 0.49 0.36 0.31 0.30 0.29 0.23 0.15 0.07 0.04 0.06 0.13 0.17 0.16 0.06 0.00 0.00 0.00 0.00 0.04 0.21 0.30 0.30 0.21 0.08 0.00 0.00 0.08 0.24 0.39 0.50 0.51 0.44 0.32 0.22 0.18 0.23 0.33 0.44 0.50 0.48 0.41 70.0 + 72.5 0.27 0.26 0.33 0.48 0.68 0.87 0.97 0.96 0.88 0.81 0.82 0.92 1.10 1.28 1.42 1.53 1.66 1.87 2.18 2.54 2.86 3.03 3.03 2.87 2.63 2.41 2.23 2.08 1.92 1.69 1.40 1.11 0.87 0.73 0.67 0.65 0.59 0.46 0.27 0.10 0.00 0.00 0.08 0.16 0.18 0.10 0.00 0.00 0.00 0.00 0.05 0.24 0.34 0.33 0.23 0.10 0.03 0.06 0.18 0.34 0.49 0.56 0.54 0.45 0.32 0.21 0.15 0.16 0.21 0.27 0.31 0.30 0.27 0.26 0.33 0.48 0.68 0.87 0.97 0.96 0.88 0.81 0.82 0.92 1.10 1.28 1.42 1.53 1.66 1.87 2.18 2.54 2.86 3.03 3.03 2.87 2.63 2.41 2.23 2.08 1.92 1.69 1.40 1.11 0.87 0.73 0.67 0.65 0.59 0.46 0.27 0.10 0.00 0.00 0.08 0.16 0.18 0.10 0.00 0.00 0.00 0.00 0.05 0.24 0.34 0.33 0.23 0.10 0.03 0.06 0.18 0.34 0.49 0.56 0.54 0.45 0.32 0.21 0.15 0.16 0.21 0.27 0.31 0.30 0.27 72.5 + 75.0 0.28 0.32 0.43 0.62 0.85 1.04 1.15 1.14 1.07 1.02 1.07 1.23 1.46 1.69 1.88 2.05 2.27 2.62 3.10 3.64 4.12 4.39 4.41 4.21 3.89 3.56 3.28 3.03 2.77 2.45 2.07 1.70 1.40 1.25 1.20 1.19 1.12 0.94 0.67 0.40 0.23 0.20 0.30 0.44 0.51 0.46 0.32 0.18 0.14 0.23 0.43 0.61 0.70 0.64 0.47 0.30 0.20 0.24 0.37 0.53 0.63 0.64 0.56 0.42 0.28 0.17 0.13 0.14 0.18 0.24 0.27 0.28 0.28 0.32 0.43 0.62 0.85 1.04 1.15 1.14 1.07 1.02 1.07 1.23 1.46 1.69 1.88 2.05 2.27 2.62 3.10 3.64 4.12 4.39 4.41 4.21 3.89 3.56 3.28 3.03 2.77 2.45 2.07 1.70 1.40 1.25 1.20 1.19 1.12 0.94 0.67 0.40 0.23 0.20 0.30 0.44 0.51 0.46 0.32 0.18 0.14 0.23 0.43 0.61 0.70 0.64 0.47 0.30 0.20 0.24 0.37 0.53 0.63 0.64 0.56 0.42 0.28 0.17 0.13 0.14 0.18 0.24 0.27 0.28 0.28 75.0 + 77.5 0.37 0.45 0.59 0.80 1.03 1.21 1.28 1.24 1.16 1.13 1.23 1.46 1.74 2.01 2.21 2.40 2.66 3.11 3.75 4.47 5.11 5.49 5.53 5.27 4.86 4.43 4.07 3.76 3.44 3.06 2.61 2.18 1.86 1.72 1.72 1.76 1.72 1.53 1.21 0.87 0.64 0.61 0.74 0.93 1.06 1.04 0.91 0.77 0.73 0.85 1.05 1.21 1.23 1.06 0.78 0.50 0.35 0.37 0.50 0.64 0.71 0.65 0.49 0.30 0.15 0.08 0.08 0.14 0.21 0.28 0.32 0.34 0.37 0.45 0.59 0.80 1.03 1.21 1.28 1.24 1.16 1.13 1.23 1.46 1.74 2.01 2.21 2.40 2.66 3.11 3.75 4.47 5.11 5.49 5.53 5.27 4.86 4.43 4.07 3.76 3.44 3.06 2.61 2.18 1.86 1.72 1.72 1.76 1.72 1.53 1.21 0.87 0.64 0.61 0.74 0.93 1.06 1.04 0.91 0.77 0.73 0.85 1.05 1.21 1.23 1.06 0.78 0.50 0.35 0.37 0.50 0.64 0.71 0.65 0.49 0.30 0.15 0.08 0.08 0.14 0.21 0.28 0.32 0.34 0.37 77.5 + 80.0 0.39 0.49 0.66 0.88 1.10 1.23 1.25 1.16 1.05 1.04 1.19 1.48 1.80 2.06 2.23 2.36 2.60 3.09 3.84 4.71 5.48 5.93 5.98 5.66 5.17 4.66 4.26 3.94 3.61 3.21 2.75 2.30 2.00 1.90 1.98 2.11 2.13 1.96 1.62 1.25 1.01 0.98 1.16 1.40 1.57 1.57 1.45 1.32 1.31 1.44 1.65 1.78 1.69 1.37 0.92 0.51 0.29 0.29 0.43 0.58 0.61 0.49 0.27 0.06 0.00 0.00 0.00 0.11 0.23 0.30 0.34 0.35 0.39 0.49 0.66 0.88 1.10 1.23 1.25 1.16 1.05 1.04 1.19 1.48 1.80 2.06 2.23 2.36 2.60 3.09 3.84 4.71 5.48 5.93 5.98 5.66 5.17 4.66 4.26 3.94 3.61 3.21 2.75 2.30 2.00 1.90 1.98 2.11 2.13 1.96 1.62 1.25 1.01 0.98 1.16 1.40 1.57 1.57 1.45 1.32 1.31 1.44 1.65 1.78 1.69 1.37 0.92 0.51 0.29 0.29 0.43 0.58 0.61 0.49 0.27 0.06 0.00 0.00 0.00 0.11 0.23 0.30 0.34 0.35 0.39 80.0 + 82.5 0.24 0.34 0.53 0.75 0.95 1.04 0.99 0.84 0.71 0.71 0.90 1.22 1.55 1.77 1.84 1.86 2.02 2.49 3.28 4.24 5.09 5.59 5.62 5.25 4.70 4.17 3.77 3.48 3.20 2.84 2.39 1.97 1.71 1.69 1.87 2.09 2.18 2.04 1.71 1.33 1.10 1.10 1.32 1.60 1.79 1.80 1.69 1.59 1.62 1.80 2.02 2.10 1.90 1.41 0.79 0.25 0.00 0.00 0.15 0.32 0.35 0.20 0.00 0.00 0.00 0.00 0.00 0.02 0.16 0.23 0.23 0.21 0.24 0.34 0.53 0.75 0.95 1.04 0.99 0.84 0.71 0.71 0.90 1.22 1.55 1.77 1.84 1.86 2.02 2.49 3.28 4.24 5.09 5.59 5.62 5.25 4.70 4.17 3.77 3.48 3.20 2.84 2.39 1.97 1.71 1.69 1.87 2.09 2.18 2.04 1.71 1.33 1.10 1.10 1.32 1.60 1.79 1.80 1.69 1.59 1.62 1.80 2.02 2.10 1.90 1.41 0.79 0.25 0.00 0.00 0.15 0.32 0.35 0.20 0.00 0.00 0.00 0.00 0.00 0.02 0.16 0.23 0.23 0.21 0.24 82.5 + 85.0 0.00 0.04 0.23 0.46 0.63 0.67 0.56 0.36 0.20 0.20 0.41 0.75 1.05 1.18 1.13 1.01 1.07 1.48 2.27 3.26 4.15 4.65 4.66 4.27 3.70 3.19 2.85 2.64 2.43 2.12 1.72 1.35 1.15 1.21 1.47 1.76 1.90 1.78 1.46 1.09 0.88 0.92 1.17 1.48 1.67 1.69 1.60 1.54 1.65 1.90 2.16 2.20 1.89 1.25 0.47 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 0.04 0.23 0.46 0.63 0.67 0.56 0.36 0.20 0.20 0.41 0.75 1.05 1.18 1.13 1.01 1.07 1.48 2.27 3.26 4.15 4.65 4.66 4.27 3.70 3.19 2.85 2.64 2.43 2.12 1.72 1.35 1.15 1.21 1.47 1.76 1.90 1.78 1.46 1.09 0.88 0.92 1.17 1.48 1.67 1.69 1.60 1.54 1.65 1.90 2.16 2.20 1.89 1.25 0.47 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.06 0.00 0.00 0.00 85.0 + 87.5 0.00 0.00 0.00 0.13 0.27 0.26 0.09 0.00 0.00 0.00 0.00 0.21 0.47 0.52 0.34 0.12 0.08 0.44 1.21 2.19 3.07 3.55 3.55 3.16 2.63 2.20 1.95 1.84 1.71 1.45 1.09 0.76 0.61 0.73 1.05 1.38 1.54 1.42 1.09 0.73 0.54 0.62 0.89 1.21 1.41 1.44 1.39 1.42 1.63 1.98 2.28 2.31 1.91 1.16 0.27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.27 0.26 0.09 0.00 0.00 0.00 0.00 0.21 0.47 0.52 0.34 0.12 0.08 0.44 1.21 2.19 3.07 3.55 3.55 3.16 2.63 2.20 1.95 1.84 1.71 1.45 1.09 0.76 0.61 0.73 1.05 1.38 1.54 1.42 1.09 0.73 0.54 0.62 0.89 1.21 1.41 1.44 1.39 1.42 1.63 1.98 2.28 2.31 1.91 1.16 0.27 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 90.0 + + 40.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.66 ) PHI2 = 40. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.0 + 2.5 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.15 0.93 0.73 0.56 0.45 0.41 0.39 0.36 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.38 0.40 0.44 0.56 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.23 2.28 2.19 2.01 1.77 1.51 1.27 1.05 0.84 0.64 0.49 0.39 0.37 0.38 0.37 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.38 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.26 2.22 2.07 1.85 1.61 1.37 1.15 0.93 0.73 0.56 0.45 0.41 0.39 0.36 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.38 0.40 0.44 0.56 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.23 2.28 2.19 2.01 1.77 1.51 1.27 1.05 0.84 0.64 0.49 0.39 0.37 0.38 0.37 0.28 0.09 0.00 2.5 + 5.0 0.12 0.00 0.00 0.00 0.12 0.30 0.44 0.49 0.46 0.39 0.36 0.39 0.50 0.67 0.88 1.12 1.39 1.67 1.96 2.19 2.33 2.33 2.22 2.01 1.76 1.50 1.24 1.01 0.81 0.65 0.55 0.51 0.50 0.46 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.43 0.47 0.48 0.54 0.65 0.82 1.03 1.27 1.52 1.78 2.05 2.26 2.39 2.38 2.24 2.00 1.70 1.40 1.13 0.89 0.68 0.50 0.38 0.33 0.35 0.42 0.46 0.43 0.30 0.12 0.00 0.00 0.00 0.12 0.30 0.44 0.49 0.46 0.39 0.36 0.39 0.50 0.67 0.88 1.12 1.39 1.67 1.96 2.19 2.33 2.33 2.22 2.01 1.76 1.50 1.24 1.01 0.81 0.65 0.55 0.51 0.50 0.46 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.34 0.43 0.47 0.48 0.54 0.65 0.82 1.03 1.27 1.52 1.78 2.05 2.26 2.39 2.38 2.24 2.00 1.70 1.40 1.13 0.89 0.68 0.50 0.38 0.33 0.35 0.42 0.46 0.43 0.30 0.12 5.0 + 7.5 0.49 0.37 0.31 0.35 0.47 0.61 0.70 0.70 0.61 0.49 0.39 0.36 0.42 0.55 0.74 0.98 1.27 1.58 1.91 2.19 2.40 2.47 2.40 2.22 1.97 1.69 1.43 1.19 1.00 0.87 0.80 0.78 0.78 0.75 0.65 0.50 0.32 0.18 0.14 0.21 0.36 0.53 0.66 0.73 0.75 0.76 0.81 0.91 1.07 1.27 1.50 1.77 2.05 2.31 2.51 2.58 2.51 2.29 1.97 1.62 1.28 0.99 0.74 0.55 0.40 0.33 0.33 0.41 0.53 0.63 0.66 0.60 0.49 0.37 0.31 0.35 0.47 0.61 0.70 0.70 0.61 0.49 0.39 0.36 0.42 0.55 0.74 0.98 1.27 1.58 1.91 2.19 2.40 2.47 2.40 2.22 1.97 1.69 1.43 1.19 1.00 0.87 0.80 0.78 0.78 0.75 0.65 0.50 0.32 0.18 0.14 0.21 0.36 0.53 0.66 0.73 0.75 0.76 0.81 0.91 1.07 1.27 1.50 1.77 2.05 2.31 2.51 2.58 2.51 2.29 1.97 1.62 1.28 0.99 0.74 0.55 0.40 0.33 0.33 0.41 0.53 0.63 0.66 0.60 0.49 7.5 + 10.0 0.87 0.78 0.74 0.76 0.83 0.93 0.98 0.96 0.86 0.71 0.56 0.48 0.48 0.57 0.73 0.94 1.21 1.51 1.85 2.17 2.42 2.57 2.57 2.44 2.21 1.94 1.68 1.46 1.30 1.22 1.20 1.22 1.25 1.24 1.18 1.06 0.92 0.83 0.81 0.89 1.01 1.14 1.23 1.27 1.26 1.26 1.28 1.35 1.47 1.64 1.84 2.09 2.35 2.59 2.73 2.74 2.59 2.30 1.93 1.55 1.20 0.92 0.71 0.55 0.45 0.42 0.47 0.59 0.74 0.87 0.94 0.93 0.87 0.78 0.74 0.76 0.83 0.93 0.98 0.96 0.86 0.71 0.56 0.48 0.48 0.57 0.73 0.94 1.21 1.51 1.85 2.17 2.42 2.57 2.57 2.44 2.21 1.94 1.68 1.46 1.30 1.22 1.20 1.22 1.25 1.24 1.18 1.06 0.92 0.83 0.81 0.89 1.01 1.14 1.23 1.27 1.26 1.26 1.28 1.35 1.47 1.64 1.84 2.09 2.35 2.59 2.73 2.74 2.59 2.30 1.93 1.55 1.20 0.92 0.71 0.55 0.45 0.42 0.47 0.59 0.74 0.87 0.94 0.93 0.87 10.0 + 12.5 1.18 1.13 1.08 1.08 1.12 1.18 1.22 1.21 1.13 0.99 0.84 0.73 0.69 0.72 0.83 1.00 1.21 1.46 1.76 2.08 2.37 2.57 2.65 2.58 2.40 2.16 1.93 1.74 1.63 1.61 1.65 1.72 1.79 1.82 1.79 1.71 1.62 1.57 1.58 1.66 1.77 1.86 1.91 1.91 1.87 1.84 1.83 1.86 1.93 2.05 2.21 2.41 2.62 2.79 2.86 2.78 2.55 2.21 1.83 1.47 1.16 0.94 0.78 0.68 0.63 0.65 0.72 0.84 0.98 1.11 1.19 1.21 1.18 1.13 1.08 1.08 1.12 1.18 1.22 1.21 1.13 0.99 0.84 0.73 0.69 0.72 0.83 1.00 1.21 1.46 1.76 2.08 2.37 2.57 2.65 2.58 2.40 2.16 1.93 1.74 1.63 1.61 1.65 1.72 1.79 1.82 1.79 1.71 1.62 1.57 1.58 1.66 1.77 1.86 1.91 1.91 1.87 1.84 1.83 1.86 1.93 2.05 2.21 2.41 2.62 2.79 2.86 2.78 2.55 2.21 1.83 1.47 1.16 0.94 0.78 0.68 0.63 0.65 0.72 0.84 0.98 1.11 1.19 1.21 1.18 12.5 + 15.0 1.35 1.32 1.28 1.25 1.25 1.29 1.32 1.34 1.30 1.21 1.09 0.98 0.92 0.92 0.97 1.07 1.20 1.39 1.63 1.92 2.22 2.47 2.61 2.61 2.49 2.29 2.09 1.93 1.85 1.86 1.95 2.07 2.18 2.25 2.26 2.23 2.18 2.17 2.20 2.28 2.38 2.44 2.45 2.40 2.34 2.27 2.23 2.23 2.27 2.35 2.47 2.61 2.75 2.84 2.81 2.65 2.36 2.01 1.64 1.33 1.10 0.96 0.87 0.84 0.84 0.89 0.96 1.06 1.16 1.25 1.32 1.36 1.35 1.32 1.28 1.25 1.25 1.29 1.32 1.34 1.30 1.21 1.09 0.98 0.92 0.92 0.97 1.07 1.20 1.39 1.63 1.92 2.22 2.47 2.61 2.61 2.49 2.29 2.09 1.93 1.85 1.86 1.95 2.07 2.18 2.25 2.26 2.23 2.18 2.17 2.20 2.28 2.38 2.44 2.45 2.40 2.34 2.27 2.23 2.23 2.27 2.35 2.47 2.61 2.75 2.84 2.81 2.65 2.36 2.01 1.64 1.33 1.10 0.96 0.87 0.84 0.84 0.89 0.96 1.06 1.16 1.25 1.32 1.36 1.35 15.0 + 17.5 1.35 1.35 1.32 1.26 1.21 1.20 1.23 1.27 1.29 1.26 1.18 1.10 1.03 1.01 1.02 1.06 1.13 1.25 1.43 1.68 1.98 2.26 2.46 2.53 2.46 2.29 2.10 1.94 1.87 1.88 1.98 2.12 2.27 2.38 2.44 2.45 2.45 2.47 2.52 2.60 2.67 2.70 2.66 2.58 2.48 2.39 2.33 2.33 2.36 2.43 2.53 2.63 2.71 2.71 2.59 2.35 2.03 1.67 1.36 1.12 0.97 0.90 0.88 0.89 0.93 0.98 1.04 1.10 1.16 1.21 1.27 1.32 1.35 1.35 1.32 1.26 1.21 1.20 1.23 1.27 1.29 1.26 1.18 1.10 1.03 1.01 1.02 1.06 1.13 1.25 1.43 1.68 1.98 2.26 2.46 2.53 2.46 2.29 2.10 1.94 1.87 1.88 1.98 2.12 2.27 2.38 2.44 2.45 2.45 2.47 2.52 2.60 2.67 2.70 2.66 2.58 2.48 2.39 2.33 2.33 2.36 2.43 2.53 2.63 2.71 2.71 2.59 2.35 2.03 1.67 1.36 1.12 0.97 0.90 0.88 0.89 0.93 0.98 1.04 1.10 1.16 1.21 1.27 1.32 1.35 17.5 + 20.0 1.18 1.22 1.19 1.11 1.01 0.95 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.91 0.90 0.92 0.96 1.04 1.19 1.42 1.70 2.00 2.23 2.34 2.31 2.17 1.98 1.81 1.71 1.70 1.78 1.92 2.09 2.24 2.35 2.43 2.48 2.53 2.60 2.66 2.71 2.69 2.62 2.49 2.35 2.23 2.17 2.17 2.22 2.30 2.40 2.47 2.49 2.41 2.22 1.93 1.59 1.26 0.99 0.82 0.73 0.71 0.73 0.76 0.81 0.86 0.90 0.92 0.94 0.97 1.03 1.11 1.18 1.22 1.19 1.11 1.01 0.95 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.91 0.90 0.92 0.96 1.04 1.19 1.42 1.70 2.00 2.23 2.34 2.31 2.17 1.98 1.81 1.71 1.70 1.78 1.92 2.09 2.24 2.35 2.43 2.48 2.53 2.60 2.66 2.71 2.69 2.62 2.49 2.35 2.23 2.17 2.17 2.22 2.30 2.40 2.47 2.49 2.41 2.22 1.93 1.59 1.26 0.99 0.82 0.73 0.71 0.73 0.76 0.81 0.86 0.90 0.92 0.94 0.97 1.03 1.11 1.18 20.0 + 22.5 0.89 0.97 0.95 0.85 0.70 0.57 0.53 0.56 0.64 0.70 0.72 0.70 0.66 0.64 0.65 0.68 0.72 0.80 0.93 1.14 1.42 1.71 1.95 2.08 2.08 1.97 1.80 1.63 1.51 1.47 1.53 1.67 1.85 2.04 2.22 2.36 2.47 2.57 2.65 2.71 2.73 2.67 2.55 2.37 2.19 2.05 1.97 1.96 2.01 2.09 2.16 2.20 2.16 2.02 1.77 1.46 1.12 0.82 0.61 0.48 0.43 0.42 0.44 0.47 0.52 0.56 0.58 0.57 0.56 0.57 0.64 0.76 0.89 0.97 0.95 0.85 0.70 0.57 0.53 0.56 0.64 0.70 0.72 0.70 0.66 0.64 0.65 0.68 0.72 0.80 0.93 1.14 1.42 1.71 1.95 2.08 2.08 1.97 1.80 1.63 1.51 1.47 1.53 1.67 1.85 2.04 2.22 2.36 2.47 2.57 2.65 2.71 2.73 2.67 2.55 2.37 2.19 2.05 1.97 1.96 2.01 2.09 2.16 2.20 2.16 2.02 1.77 1.46 1.12 0.82 0.61 0.48 0.43 0.42 0.44 0.47 0.52 0.56 0.58 0.57 0.56 0.57 0.64 0.76 0.89 22.5 + 25.0 0.52 0.64 0.64 0.53 0.34 0.17 0.09 0.12 0.20 0.29 0.34 0.34 0.32 0.32 0.35 0.40 0.48 0.57 0.70 0.89 1.13 1.40 1.63 1.77 1.81 1.74 1.62 1.49 1.39 1.37 1.42 1.56 1.76 2.00 2.24 2.46 2.65 2.80 2.91 2.97 2.96 2.88 2.72 2.50 2.28 2.08 1.96 1.90 1.90 1.93 1.94 1.91 1.80 1.59 1.31 0.99 0.68 0.43 0.26 0.17 0.12 0.10 0.10 0.12 0.16 0.19 0.20 0.18 0.14 0.14 0.21 0.36 0.52 0.64 0.64 0.53 0.34 0.17 0.09 0.12 0.20 0.29 0.34 0.34 0.32 0.32 0.35 0.40 0.48 0.57 0.70 0.89 1.13 1.40 1.63 1.77 1.81 1.74 1.62 1.49 1.39 1.37 1.42 1.56 1.76 2.00 2.24 2.46 2.65 2.80 2.91 2.97 2.96 2.88 2.72 2.50 2.28 2.08 1.96 1.90 1.90 1.93 1.94 1.91 1.80 1.59 1.31 0.99 0.68 0.43 0.26 0.17 0.12 0.10 0.10 0.12 0.16 0.19 0.20 0.18 0.14 0.14 0.21 0.36 0.52 25.0 + 27.5 0.18 0.32 0.33 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.05 0.05 0.10 0.18 0.27 0.38 0.50 0.66 0.85 1.07 1.27 1.42 1.50 1.51 1.47 1.43 1.41 1.45 1.54 1.69 1.91 2.18 2.47 2.76 3.01 3.22 3.37 3.45 3.44 3.34 3.16 2.93 2.67 2.42 2.22 2.08 1.97 1.89 1.80 1.66 1.46 1.19 0.88 0.57 0.31 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.32 0.33 0.22 0.02 0.00 0.00 0.00 0.00 0.00 0.04 0.05 0.05 0.05 0.10 0.18 0.27 0.38 0.50 0.66 0.85 1.07 1.27 1.42 1.50 1.51 1.47 1.43 1.41 1.45 1.54 1.69 1.91 2.18 2.47 2.76 3.01 3.22 3.37 3.45 3.44 3.34 3.16 2.93 2.67 2.42 2.22 2.08 1.97 1.89 1.80 1.66 1.46 1.19 0.88 0.57 0.31 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 27.5 + 30.0 0.00 0.06 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.44 0.59 0.75 0.92 1.06 1.17 1.26 1.33 1.41 1.51 1.62 1.77 1.94 2.16 2.43 2.74 3.06 3.36 3.62 3.80 3.90 3.90 3.82 3.66 3.44 3.17 2.89 2.62 2.37 2.14 1.93 1.71 1.46 1.17 0.85 0.53 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.44 0.59 0.75 0.92 1.06 1.17 1.26 1.33 1.41 1.51 1.62 1.77 1.94 2.16 2.43 2.74 3.06 3.36 3.62 3.80 3.90 3.90 3.82 3.66 3.44 3.17 2.89 2.62 2.37 2.14 1.93 1.71 1.46 1.17 0.85 0.53 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.19 0.27 0.37 0.49 0.63 0.76 0.89 1.02 1.18 1.36 1.55 1.74 1.92 2.09 2.28 2.51 2.78 3.09 3.39 3.66 3.86 3.98 4.01 3.96 3.85 3.68 3.45 3.17 2.86 2.54 2.22 1.91 1.61 1.29 0.96 0.62 0.30 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.12 0.19 0.27 0.37 0.49 0.63 0.76 0.89 1.02 1.18 1.36 1.55 1.74 1.92 2.09 2.28 2.51 2.78 3.09 3.39 3.66 3.86 3.98 4.01 3.96 3.85 3.68 3.45 3.17 2.86 2.54 2.22 1.91 1.61 1.29 0.96 0.62 0.30 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.05 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.17 0.26 0.37 0.49 0.60 0.70 0.84 1.01 1.22 1.46 1.68 1.86 1.98 2.09 2.23 2.43 2.68 2.95 3.20 3.39 3.50 3.55 3.54 3.49 3.40 3.24 3.02 2.73 2.41 2.07 1.75 1.44 1.14 0.82 0.51 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.10 0.17 0.26 0.37 0.49 0.60 0.70 0.84 1.01 1.22 1.46 1.68 1.86 1.98 2.09 2.23 2.43 2.68 2.95 3.20 3.39 3.50 3.55 3.54 3.49 3.40 3.24 3.02 2.73 2.41 2.07 1.75 1.44 1.14 0.82 0.51 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 35.0 + 37.5 0.17 0.28 0.33 0.31 0.23 0.13 0.06 0.04 0.06 0.09 0.11 0.10 0.07 0.04 0.01 0.00 0.00 0.02 0.07 0.17 0.30 0.44 0.55 0.62 0.67 0.74 0.86 1.04 1.26 1.45 1.57 1.61 1.62 1.65 1.75 1.93 2.15 2.36 2.51 2.59 2.61 2.62 2.62 2.62 2.56 2.43 2.23 1.96 1.69 1.44 1.21 1.01 0.79 0.55 0.29 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.26 0.32 0.29 0.21 0.11 0.05 0.08 0.17 0.28 0.33 0.31 0.23 0.13 0.06 0.04 0.06 0.09 0.11 0.10 0.07 0.04 0.01 0.00 0.00 0.02 0.07 0.17 0.30 0.44 0.55 0.62 0.67 0.74 0.86 1.04 1.26 1.45 1.57 1.61 1.62 1.65 1.75 1.93 2.15 2.36 2.51 2.59 2.61 2.62 2.62 2.62 2.56 2.43 2.23 1.96 1.69 1.44 1.21 1.01 0.79 0.55 0.29 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.26 0.32 0.29 0.21 0.11 0.05 0.08 0.17 37.5 + 40.0 0.45 0.54 0.61 0.63 0.58 0.49 0.39 0.31 0.26 0.23 0.23 0.24 0.23 0.21 0.16 0.09 0.03 0.02 0.10 0.25 0.45 0.65 0.77 0.80 0.76 0.73 0.76 0.86 1.01 1.14 1.18 1.13 1.03 0.97 1.00 1.13 1.32 1.48 1.57 1.58 1.55 1.53 1.56 1.62 1.66 1.64 1.53 1.36 1.18 1.04 0.96 0.90 0.82 0.68 0.47 0.24 0.04 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.34 0.43 0.49 0.50 0.45 0.39 0.36 0.37 0.45 0.54 0.61 0.63 0.58 0.49 0.39 0.31 0.26 0.23 0.23 0.24 0.23 0.21 0.16 0.09 0.03 0.02 0.10 0.25 0.45 0.65 0.77 0.80 0.76 0.73 0.76 0.86 1.01 1.14 1.18 1.13 1.03 0.97 1.00 1.13 1.32 1.48 1.57 1.58 1.55 1.53 1.56 1.62 1.66 1.64 1.53 1.36 1.18 1.04 0.96 0.90 0.82 0.68 0.47 0.24 0.04 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.34 0.43 0.49 0.50 0.45 0.39 0.36 0.37 0.45 40.0 + 42.5 0.62 0.69 0.78 0.84 0.84 0.77 0.65 0.52 0.40 0.34 0.35 0.40 0.44 0.44 0.37 0.24 0.11 0.06 0.14 0.35 0.63 0.88 1.01 0.99 0.87 0.74 0.68 0.72 0.81 0.87 0.84 0.70 0.54 0.43 0.44 0.58 0.77 0.91 0.94 0.86 0.73 0.65 0.67 0.76 0.87 0.93 0.89 0.79 0.69 0.66 0.71 0.80 0.86 0.81 0.65 0.41 0.18 0.03 0.00 0.05 0.17 0.29 0.38 0.45 0.50 0.54 0.59 0.61 0.61 0.59 0.57 0.57 0.62 0.69 0.78 0.84 0.84 0.77 0.65 0.52 0.40 0.34 0.35 0.40 0.44 0.44 0.37 0.24 0.11 0.06 0.14 0.35 0.63 0.88 1.01 0.99 0.87 0.74 0.68 0.72 0.81 0.87 0.84 0.70 0.54 0.43 0.44 0.58 0.77 0.91 0.94 0.86 0.73 0.65 0.67 0.76 0.87 0.93 0.89 0.79 0.69 0.66 0.71 0.80 0.86 0.81 0.65 0.41 0.18 0.03 0.00 0.05 0.17 0.29 0.38 0.45 0.50 0.54 0.59 0.61 0.61 0.59 0.57 0.57 0.62 42.5 + 45.0 0.58 0.62 0.72 0.83 0.90 0.88 0.77 0.61 0.46 0.39 0.44 0.57 0.69 0.72 0.62 0.42 0.19 0.08 0.14 0.39 0.72 1.00 1.12 1.06 0.87 0.68 0.58 0.60 0.67 0.69 0.61 0.43 0.23 0.12 0.18 0.38 0.62 0.77 0.75 0.58 0.35 0.19 0.16 0.26 0.40 0.49 0.48 0.39 0.31 0.32 0.44 0.64 0.80 0.84 0.72 0.49 0.24 0.09 0.09 0.21 0.40 0.55 0.63 0.63 0.59 0.56 0.56 0.60 0.64 0.65 0.62 0.59 0.58 0.62 0.72 0.83 0.90 0.88 0.77 0.61 0.46 0.39 0.44 0.57 0.69 0.72 0.62 0.42 0.19 0.08 0.14 0.39 0.72 1.00 1.12 1.06 0.87 0.68 0.58 0.60 0.67 0.69 0.61 0.43 0.23 0.12 0.18 0.38 0.62 0.77 0.75 0.58 0.35 0.19 0.16 0.26 0.40 0.49 0.48 0.39 0.31 0.32 0.44 0.64 0.80 0.84 0.72 0.49 0.24 0.09 0.09 0.21 0.40 0.55 0.63 0.63 0.59 0.56 0.56 0.60 0.64 0.65 0.62 0.59 0.58 45.0 + 47.5 0.34 0.33 0.43 0.59 0.74 0.79 0.72 0.56 0.41 0.37 0.49 0.71 0.92 1.00 0.87 0.58 0.26 0.06 0.08 0.32 0.66 0.93 1.02 0.92 0.69 0.49 0.41 0.46 0.56 0.59 0.49 0.28 0.07 0.01 0.14 0.44 0.76 0.95 0.90 0.65 0.33 0.08 0.00 0.09 0.24 0.33 0.30 0.17 0.04 0.03 0.16 0.40 0.62 0.72 0.64 0.43 0.20 0.09 0.15 0.36 0.62 0.80 0.85 0.76 0.60 0.48 0.44 0.47 0.54 0.57 0.52 0.42 0.34 0.33 0.43 0.59 0.74 0.79 0.72 0.56 0.41 0.37 0.49 0.71 0.92 1.00 0.87 0.58 0.26 0.06 0.08 0.32 0.66 0.93 1.02 0.92 0.69 0.49 0.41 0.46 0.56 0.59 0.49 0.28 0.07 0.01 0.14 0.44 0.76 0.95 0.90 0.65 0.33 0.08 0.00 0.09 0.24 0.33 0.30 0.17 0.04 0.03 0.16 0.40 0.62 0.72 0.64 0.43 0.20 0.09 0.15 0.36 0.62 0.80 0.85 0.76 0.60 0.48 0.44 0.47 0.54 0.57 0.52 0.42 0.34 47.5 + 50.0 0.02 0.00 0.04 0.24 0.46 0.57 0.54 0.40 0.27 0.28 0.47 0.79 1.09 1.21 1.07 0.71 0.30 0.01 0.00 0.17 0.48 0.71 0.76 0.61 0.38 0.20 0.19 0.31 0.47 0.53 0.42 0.19 0.00 0.00 0.17 0.56 0.96 1.19 1.14 0.84 0.45 0.14 0.03 0.10 0.25 0.33 0.26 0.07 0.00 0.00 0.00 0.13 0.37 0.50 0.46 0.29 0.11 0.06 0.20 0.49 0.80 0.99 0.98 0.79 0.52 0.31 0.24 0.29 0.39 0.43 0.35 0.19 0.02 0.00 0.04 0.24 0.46 0.57 0.54 0.40 0.27 0.28 0.47 0.79 1.09 1.21 1.07 0.71 0.30 0.01 0.00 0.17 0.48 0.71 0.76 0.61 0.38 0.20 0.19 0.31 0.47 0.53 0.42 0.19 0.00 0.00 0.17 0.56 0.96 1.19 1.14 0.84 0.45 0.14 0.03 0.10 0.25 0.33 0.26 0.07 0.00 0.00 0.00 0.13 0.37 0.50 0.46 0.29 0.11 0.06 0.20 0.49 0.80 0.99 0.98 0.79 0.52 0.31 0.24 0.29 0.39 0.43 0.35 0.19 0.02 50.0 + 52.5 0.00 0.00 0.00 0.00 0.20 0.36 0.34 0.21 0.10 0.14 0.40 0.80 1.17 1.32 1.17 0.78 0.31 0.00 0.00 0.04 0.30 0.48 0.47 0.29 0.07 0.00 0.00 0.20 0.41 0.49 0.38 0.13 0.00 0.00 0.16 0.60 1.05 1.30 1.26 0.95 0.54 0.21 0.09 0.16 0.30 0.37 0.27 0.05 0.00 0.00 0.00 0.00 0.19 0.33 0.31 0.18 0.05 0.06 0.27 0.60 0.93 1.10 1.02 0.74 0.39 0.12 0.04 0.12 0.27 0.34 0.26 0.04 0.00 0.00 0.00 0.00 0.20 0.36 0.34 0.21 0.10 0.14 0.40 0.80 1.17 1.32 1.17 0.78 0.31 0.00 0.00 0.04 0.30 0.48 0.47 0.29 0.07 0.00 0.00 0.20 0.41 0.49 0.38 0.13 0.00 0.00 0.16 0.60 1.05 1.30 1.26 0.95 0.54 0.21 0.09 0.16 0.30 0.37 0.27 0.05 0.00 0.00 0.00 0.00 0.19 0.33 0.31 0.18 0.05 0.06 0.27 0.60 0.93 1.10 1.02 0.74 0.39 0.12 0.04 0.12 0.27 0.34 0.26 0.04 0.00 52.5 + 55.0 0.00 0.00 0.00 0.00 0.11 0.26 0.23 0.09 0.00 0.02 0.31 0.74 1.15 1.33 1.19 0.80 0.32 0.00 0.00 0.00 0.20 0.33 0.28 0.09 0.00 0.00 0.00 0.19 0.43 0.52 0.39 0.12 0.00 0.00 0.11 0.55 0.99 1.25 1.22 0.93 0.55 0.25 0.14 0.21 0.35 0.41 0.32 0.10 0.00 0.00 0.00 0.00 0.19 0.32 0.31 0.19 0.10 0.14 0.37 0.71 1.02 1.15 1.00 0.65 0.25 0.00 0.00 0.06 0.27 0.40 0.33 0.10 0.00 0.00 0.00 0.00 0.11 0.26 0.23 0.09 0.00 0.02 0.31 0.74 1.15 1.33 1.19 0.80 0.32 0.00 0.00 0.00 0.20 0.33 0.28 0.09 0.00 0.00 0.00 0.19 0.43 0.52 0.39 0.12 0.00 0.00 0.11 0.55 0.99 1.25 1.22 0.93 0.55 0.25 0.14 0.21 0.35 0.41 0.32 0.10 0.00 0.00 0.00 0.00 0.19 0.32 0.31 0.19 0.10 0.14 0.37 0.71 1.02 1.15 1.00 0.65 0.25 0.00 0.00 0.06 0.27 0.40 0.33 0.10 0.00 55.0 + 57.5 0.08 0.00 0.00 0.03 0.22 0.31 0.25 0.07 0.00 0.00 0.23 0.66 1.06 1.24 1.13 0.77 0.33 0.01 0.00 0.03 0.21 0.30 0.24 0.06 0.00 0.00 0.00 0.28 0.52 0.60 0.46 0.19 0.00 0.00 0.10 0.48 0.87 1.10 1.09 0.86 0.55 0.30 0.22 0.30 0.42 0.48 0.40 0.22 0.03 0.00 0.00 0.18 0.38 0.49 0.45 0.33 0.23 0.27 0.48 0.80 1.06 1.13 0.95 0.58 0.17 0.00 0.00 0.12 0.41 0.60 0.57 0.36 0.08 0.00 0.00 0.03 0.22 0.31 0.25 0.07 0.00 0.00 0.23 0.66 1.06 1.24 1.13 0.77 0.33 0.01 0.00 0.03 0.21 0.30 0.24 0.06 0.00 0.00 0.00 0.28 0.52 0.60 0.46 0.19 0.00 0.00 0.10 0.48 0.87 1.10 1.09 0.86 0.55 0.30 0.22 0.30 0.42 0.48 0.40 0.22 0.03 0.00 0.00 0.18 0.38 0.49 0.45 0.33 0.23 0.27 0.48 0.80 1.06 1.13 0.95 0.58 0.17 0.00 0.00 0.12 0.41 0.60 0.57 0.36 0.08 57.5 + 60.0 0.44 0.25 0.21 0.30 0.43 0.47 0.36 0.15 0.00 0.00 0.20 0.57 0.93 1.09 1.00 0.68 0.31 0.05 0.00 0.09 0.25 0.33 0.26 0.10 0.00 0.00 0.13 0.39 0.62 0.68 0.55 0.31 0.08 0.01 0.14 0.43 0.75 0.94 0.94 0.78 0.56 0.40 0.35 0.41 0.51 0.55 0.48 0.35 0.23 0.21 0.30 0.48 0.64 0.70 0.63 0.48 0.36 0.38 0.55 0.81 1.03 1.07 0.88 0.53 0.17 0.00 0.02 0.28 0.61 0.84 0.87 0.69 0.44 0.25 0.21 0.30 0.43 0.47 0.36 0.15 0.00 0.00 0.20 0.57 0.93 1.09 1.00 0.68 0.31 0.05 0.00 0.09 0.25 0.33 0.26 0.10 0.00 0.00 0.13 0.39 0.62 0.68 0.55 0.31 0.08 0.01 0.14 0.43 0.75 0.94 0.94 0.78 0.56 0.40 0.35 0.41 0.51 0.55 0.48 0.35 0.23 0.21 0.30 0.48 0.64 0.70 0.63 0.48 0.36 0.38 0.55 0.81 1.03 1.07 0.88 0.53 0.17 0.00 0.02 0.28 0.61 0.84 0.87 0.69 0.44 60.0 + 62.5 0.71 0.53 0.48 0.54 0.62 0.62 0.49 0.27 0.08 0.04 0.20 0.49 0.77 0.90 0.81 0.55 0.24 0.04 0.01 0.12 0.26 0.33 0.27 0.14 0.04 0.06 0.21 0.45 0.65 0.71 0.60 0.40 0.20 0.13 0.21 0.41 0.63 0.77 0.79 0.69 0.56 0.47 0.46 0.50 0.55 0.55 0.48 0.39 0.33 0.36 0.48 0.65 0.77 0.79 0.68 0.51 0.37 0.36 0.50 0.72 0.91 0.96 0.81 0.52 0.23 0.08 0.16 0.42 0.75 0.99 1.05 0.92 0.71 0.53 0.48 0.54 0.62 0.62 0.49 0.27 0.08 0.04 0.20 0.49 0.77 0.90 0.81 0.55 0.24 0.04 0.01 0.12 0.26 0.33 0.27 0.14 0.04 0.06 0.21 0.45 0.65 0.71 0.60 0.40 0.20 0.13 0.21 0.41 0.63 0.77 0.79 0.69 0.56 0.47 0.46 0.50 0.55 0.55 0.48 0.39 0.33 0.36 0.48 0.65 0.77 0.79 0.68 0.51 0.37 0.36 0.50 0.72 0.91 0.96 0.81 0.52 0.23 0.08 0.16 0.42 0.75 0.99 1.05 0.92 0.71 62.5 + 65.0 0.76 0.62 0.57 0.62 0.69 0.69 0.58 0.38 0.20 0.14 0.23 0.44 0.64 0.72 0.63 0.41 0.17 0.03 0.03 0.14 0.27 0.33 0.29 0.18 0.11 0.13 0.26 0.46 0.62 0.67 0.59 0.43 0.28 0.21 0.25 0.37 0.50 0.58 0.59 0.54 0.47 0.44 0.44 0.46 0.46 0.41 0.33 0.24 0.22 0.28 0.42 0.58 0.68 0.66 0.53 0.36 0.22 0.21 0.34 0.55 0.74 0.81 0.72 0.51 0.29 0.18 0.25 0.47 0.75 0.96 1.02 0.93 0.76 0.62 0.57 0.62 0.69 0.69 0.58 0.38 0.20 0.14 0.23 0.44 0.64 0.72 0.63 0.41 0.17 0.03 0.03 0.14 0.27 0.33 0.29 0.18 0.11 0.13 0.26 0.46 0.62 0.67 0.59 0.43 0.28 0.21 0.25 0.37 0.50 0.58 0.59 0.54 0.47 0.44 0.44 0.46 0.46 0.41 0.33 0.24 0.22 0.28 0.42 0.58 0.68 0.66 0.53 0.36 0.22 0.21 0.34 0.55 0.74 0.81 0.72 0.51 0.29 0.18 0.25 0.47 0.75 0.96 1.02 0.93 0.76 65.0 + 67.5 0.62 0.52 0.51 0.58 0.67 0.70 0.63 0.49 0.33 0.26 0.31 0.44 0.57 0.62 0.54 0.37 0.20 0.13 0.18 0.32 0.46 0.52 0.49 0.39 0.31 0.31 0.40 0.54 0.65 0.67 0.59 0.46 0.34 0.28 0.29 0.35 0.41 0.42 0.38 0.32 0.28 0.28 0.30 0.31 0.28 0.19 0.07 0.00 0.00 0.04 0.19 0.35 0.44 0.41 0.28 0.12 0.01 0.02 0.16 0.37 0.57 0.67 0.63 0.48 0.32 0.23 0.26 0.42 0.62 0.77 0.82 0.75 0.62 0.52 0.51 0.58 0.67 0.70 0.63 0.49 0.33 0.26 0.31 0.44 0.57 0.62 0.54 0.37 0.20 0.13 0.18 0.32 0.46 0.52 0.49 0.39 0.31 0.31 0.40 0.54 0.65 0.67 0.59 0.46 0.34 0.28 0.29 0.35 0.41 0.42 0.38 0.32 0.28 0.28 0.30 0.31 0.28 0.19 0.07 0.00 0.00 0.04 0.19 0.35 0.44 0.41 0.28 0.12 0.01 0.02 0.16 0.37 0.57 0.67 0.63 0.48 0.32 0.23 0.26 0.42 0.62 0.77 0.82 0.75 0.62 67.5 + 70.0 0.45 0.40 0.43 0.53 0.65 0.73 0.71 0.62 0.50 0.43 0.45 0.55 0.65 0.70 0.65 0.55 0.47 0.48 0.62 0.83 1.02 1.12 1.09 0.98 0.86 0.81 0.83 0.89 0.92 0.89 0.77 0.62 0.50 0.44 0.44 0.47 0.47 0.40 0.30 0.19 0.12 0.12 0.15 0.17 0.14 0.03 0.00 0.00 0.00 0.00 0.02 0.18 0.27 0.23 0.11 0.00 0.00 0.00 0.07 0.29 0.48 0.58 0.56 0.45 0.31 0.22 0.23 0.31 0.44 0.54 0.57 0.53 0.45 0.40 0.43 0.53 0.65 0.73 0.71 0.62 0.50 0.43 0.45 0.55 0.65 0.70 0.65 0.55 0.47 0.48 0.62 0.83 1.02 1.12 1.09 0.98 0.86 0.81 0.83 0.89 0.92 0.89 0.77 0.62 0.50 0.44 0.44 0.47 0.47 0.40 0.30 0.19 0.12 0.12 0.15 0.17 0.14 0.03 0.00 0.00 0.00 0.00 0.02 0.18 0.27 0.23 0.11 0.00 0.00 0.00 0.07 0.29 0.48 0.58 0.56 0.45 0.31 0.22 0.23 0.31 0.44 0.54 0.57 0.53 0.45 70.0 + 72.5 0.39 0.39 0.46 0.60 0.75 0.87 0.89 0.82 0.72 0.66 0.68 0.79 0.91 0.99 1.00 0.98 1.00 1.14 1.42 1.76 2.05 2.21 2.19 2.04 1.85 1.70 1.62 1.59 1.53 1.40 1.22 1.02 0.87 0.81 0.82 0.84 0.81 0.68 0.49 0.30 0.17 0.15 0.20 0.25 0.24 0.15 0.00 0.00 0.00 0.00 0.15 0.32 0.40 0.34 0.19 0.03 0.00 0.00 0.15 0.35 0.51 0.58 0.54 0.42 0.29 0.21 0.19 0.25 0.34 0.41 0.44 0.43 0.39 0.39 0.46 0.60 0.75 0.87 0.89 0.82 0.72 0.66 0.68 0.79 0.91 0.99 1.00 0.98 1.00 1.14 1.42 1.76 2.05 2.21 2.19 2.04 1.85 1.70 1.62 1.59 1.53 1.40 1.22 1.02 0.87 0.81 0.82 0.84 0.81 0.68 0.49 0.30 0.17 0.15 0.20 0.25 0.24 0.15 0.00 0.00 0.00 0.00 0.15 0.32 0.40 0.34 0.19 0.03 0.00 0.00 0.15 0.35 0.51 0.58 0.54 0.42 0.29 0.21 0.19 0.25 0.34 0.41 0.44 0.43 0.39 72.5 + 75.0 0.51 0.55 0.66 0.83 1.00 1.12 1.14 1.07 0.97 0.92 0.97 1.12 1.31 1.45 1.52 1.57 1.69 1.97 2.41 2.92 3.37 3.61 3.60 3.39 3.10 2.83 2.64 2.50 2.34 2.12 1.85 1.58 1.40 1.35 1.40 1.45 1.42 1.25 0.98 0.69 0.50 0.46 0.53 0.64 0.67 0.60 0.46 0.35 0.34 0.47 0.68 0.85 0.89 0.76 0.53 0.31 0.19 0.22 0.36 0.53 0.63 0.63 0.53 0.38 0.26 0.19 0.21 0.28 0.37 0.45 0.49 0.50 0.51 0.55 0.66 0.83 1.00 1.12 1.14 1.07 0.97 0.92 0.97 1.12 1.31 1.45 1.52 1.57 1.69 1.97 2.41 2.92 3.37 3.61 3.60 3.39 3.10 2.83 2.64 2.50 2.34 2.12 1.85 1.58 1.40 1.35 1.40 1.45 1.42 1.25 0.98 0.69 0.50 0.46 0.53 0.64 0.67 0.60 0.46 0.35 0.34 0.47 0.68 0.85 0.89 0.76 0.53 0.31 0.19 0.22 0.36 0.53 0.63 0.63 0.53 0.38 0.26 0.19 0.21 0.28 0.37 0.45 0.49 0.50 0.51 75.0 + 77.5 0.69 0.77 0.92 1.10 1.28 1.39 1.38 1.28 1.16 1.13 1.23 1.44 1.69 1.89 2.00 2.08 2.27 2.66 3.26 3.96 4.57 4.91 4.91 4.62 4.21 3.81 3.51 3.28 3.04 2.74 2.39 2.07 1.87 1.85 1.96 2.08 2.09 1.90 1.57 1.22 0.98 0.93 1.04 1.20 1.29 1.26 1.14 1.04 1.07 1.23 1.46 1.61 1.57 1.32 0.95 0.61 0.42 0.43 0.56 0.69 0.74 0.65 0.48 0.30 0.19 0.18 0.25 0.37 0.49 0.58 0.63 0.66 0.69 0.77 0.92 1.10 1.28 1.39 1.38 1.28 1.16 1.13 1.23 1.44 1.69 1.89 2.00 2.08 2.27 2.66 3.26 3.96 4.57 4.91 4.91 4.62 4.21 3.81 3.51 3.28 3.04 2.74 2.39 2.07 1.87 1.85 1.96 2.08 2.09 1.90 1.57 1.22 0.98 0.93 1.04 1.20 1.29 1.26 1.14 1.04 1.07 1.23 1.46 1.61 1.57 1.32 0.95 0.61 0.42 0.43 0.56 0.69 0.74 0.65 0.48 0.30 0.19 0.18 0.25 0.37 0.49 0.58 0.63 0.66 0.69 77.5 + 80.0 0.77 0.87 1.05 1.26 1.44 1.53 1.48 1.34 1.20 1.17 1.31 1.59 1.89 2.10 2.20 2.25 2.44 2.89 3.62 4.48 5.23 5.66 5.65 5.29 4.77 4.26 3.87 3.58 3.30 2.95 2.55 2.20 2.00 2.03 2.22 2.43 2.49 2.33 1.97 1.58 1.32 1.28 1.44 1.66 1.80 1.81 1.72 1.65 1.73 1.94 2.19 2.30 2.15 1.73 1.18 0.71 0.45 0.44 0.58 0.72 0.73 0.58 0.35 0.15 0.07 0.12 0.27 0.45 0.60 0.69 0.72 0.73 0.77 0.87 1.05 1.26 1.44 1.53 1.48 1.34 1.20 1.17 1.31 1.59 1.89 2.10 2.20 2.25 2.44 2.89 3.62 4.48 5.23 5.66 5.65 5.29 4.77 4.26 3.87 3.58 3.30 2.95 2.55 2.20 2.00 2.03 2.22 2.43 2.49 2.33 1.97 1.58 1.32 1.28 1.44 1.66 1.80 1.81 1.72 1.65 1.73 1.94 2.19 2.30 2.15 1.73 1.18 0.71 0.45 0.44 0.58 0.72 0.73 0.58 0.35 0.15 0.07 0.12 0.27 0.45 0.60 0.69 0.72 0.73 0.77 80.0 + 82.5 0.63 0.74 0.94 1.18 1.37 1.44 1.35 1.16 1.00 0.98 1.16 1.47 1.79 1.97 1.98 1.94 2.06 2.51 3.31 4.28 5.14 5.63 5.61 5.19 4.58 4.00 3.57 3.26 2.98 2.62 2.21 1.85 1.67 1.75 2.02 2.32 2.44 2.30 1.94 1.54 1.29 1.28 1.49 1.77 1.95 1.99 1.93 1.92 2.07 2.35 2.63 2.70 2.42 1.83 1.11 0.50 0.20 0.21 0.40 0.57 0.58 0.41 0.15 0.00 0.00 0.01 0.24 0.46 0.61 0.66 0.64 0.61 0.63 0.74 0.94 1.18 1.37 1.44 1.35 1.16 1.00 0.98 1.16 1.47 1.79 1.97 1.98 1.94 2.06 2.51 3.31 4.28 5.14 5.63 5.61 5.19 4.58 4.00 3.57 3.26 2.98 2.62 2.21 1.85 1.67 1.75 2.02 2.32 2.44 2.30 1.94 1.54 1.29 1.28 1.49 1.77 1.95 1.99 1.93 1.92 2.07 2.35 2.63 2.70 2.42 1.83 1.11 0.50 0.20 0.21 0.40 0.57 0.58 0.41 0.15 0.00 0.00 0.01 0.24 0.46 0.61 0.66 0.64 0.61 0.63 82.5 + 85.0 0.30 0.41 0.63 0.90 1.10 1.15 1.02 0.80 0.61 0.59 0.79 1.12 1.41 1.51 1.41 1.24 1.26 1.66 2.48 3.51 4.43 4.94 4.92 4.46 3.81 3.21 2.80 2.53 2.27 1.93 1.52 1.17 1.02 1.14 1.48 1.83 1.99 1.86 1.51 1.12 0.89 0.92 1.18 1.50 1.72 1.79 1.78 1.84 2.08 2.46 2.78 2.82 2.43 1.69 0.82 0.12 0.00 0.00 0.12 0.36 0.39 0.21 0.00 0.00 0.00 0.00 0.17 0.40 0.52 0.50 0.40 0.31 0.30 0.41 0.63 0.90 1.10 1.15 1.02 0.80 0.61 0.59 0.79 1.12 1.41 1.51 1.41 1.24 1.26 1.66 2.48 3.51 4.43 4.94 4.92 4.46 3.81 3.21 2.80 2.53 2.27 1.93 1.52 1.17 1.02 1.14 1.48 1.83 1.99 1.86 1.51 1.12 0.89 0.92 1.18 1.50 1.72 1.79 1.78 1.84 2.08 2.46 2.78 2.82 2.43 1.69 0.82 0.12 0.00 0.00 0.12 0.36 0.39 0.21 0.00 0.00 0.00 0.00 0.17 0.40 0.52 0.50 0.40 0.31 0.30 85.0 + 87.5 0.00 0.06 0.29 0.56 0.75 0.78 0.63 0.37 0.17 0.15 0.34 0.66 0.90 0.92 0.71 0.43 0.35 0.71 1.51 2.55 3.50 4.01 3.99 3.53 2.89 2.34 1.98 1.77 1.57 1.26 0.86 0.52 0.40 0.56 0.93 1.30 1.47 1.34 0.98 0.59 0.39 0.46 0.76 1.11 1.36 1.46 1.52 1.68 2.03 2.51 2.88 2.91 2.44 1.59 0.62 0.00 0.00 0.00 0.00 0.27 0.32 0.14 0.00 0.00 0.00 0.00 0.16 0.38 0.44 0.35 0.17 0.01 0.00 0.06 0.29 0.56 0.75 0.78 0.63 0.37 0.17 0.15 0.34 0.66 0.90 0.92 0.71 0.43 0.35 0.71 1.51 2.55 3.50 4.01 3.99 3.53 2.89 2.34 1.98 1.77 1.57 1.26 0.86 0.52 0.40 0.56 0.93 1.30 1.47 1.34 0.98 0.59 0.39 0.46 0.76 1.11 1.36 1.46 1.52 1.68 2.03 2.51 2.88 2.91 2.44 1.59 0.62 0.00 0.00 0.00 0.00 0.27 0.32 0.14 0.00 0.00 0.00 0.00 0.16 0.38 0.44 0.35 0.17 0.01 0.00 87.5 + 90.0 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 90.0 + + 42.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.22 ) PHI2 = 43. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.0 + 2.5 0.00 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.27 2.22 2.07 1.85 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.23 2.27 2.19 2.01 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.38 0.37 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.38 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.18 2.27 2.22 2.07 1.85 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.62 1.86 2.08 2.23 2.27 2.19 2.01 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.38 0.37 0.28 0.09 0.00 0.00 2.5 + 5.0 0.00 0.00 0.00 0.12 0.31 0.44 0.49 0.45 0.38 0.35 0.39 0.50 0.67 0.88 1.12 1.39 1.68 1.97 2.20 2.34 2.35 2.23 2.02 1.77 1.51 1.25 1.02 0.81 0.65 0.55 0.50 0.49 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.44 0.48 0.49 0.54 0.65 0.82 1.03 1.27 1.52 1.78 2.04 2.25 2.38 2.37 2.23 1.99 1.69 1.40 1.13 0.89 0.68 0.50 0.38 0.34 0.36 0.43 0.47 0.43 0.31 0.12 0.00 0.00 0.00 0.12 0.31 0.44 0.49 0.45 0.38 0.35 0.39 0.50 0.67 0.88 1.12 1.39 1.68 1.97 2.20 2.34 2.35 2.23 2.02 1.77 1.51 1.25 1.02 0.81 0.65 0.55 0.50 0.49 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.44 0.48 0.49 0.54 0.65 0.82 1.03 1.27 1.52 1.78 2.04 2.25 2.38 2.37 2.23 1.99 1.69 1.40 1.13 0.89 0.68 0.50 0.38 0.34 0.36 0.43 0.47 0.43 0.31 0.12 0.00 5.0 + 7.5 0.37 0.32 0.37 0.48 0.62 0.70 0.69 0.60 0.48 0.38 0.36 0.42 0.55 0.75 0.99 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.46 1.22 1.03 0.89 0.81 0.78 0.78 0.75 0.66 0.52 0.34 0.20 0.15 0.21 0.36 0.53 0.67 0.74 0.77 0.78 0.82 0.91 1.06 1.26 1.49 1.76 2.04 2.30 2.49 2.56 2.49 2.27 1.96 1.61 1.28 0.99 0.75 0.55 0.41 0.34 0.35 0.44 0.56 0.66 0.68 0.61 0.49 0.37 0.32 0.37 0.48 0.62 0.70 0.69 0.60 0.48 0.38 0.36 0.42 0.55 0.75 0.99 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.46 1.22 1.03 0.89 0.81 0.78 0.78 0.75 0.66 0.52 0.34 0.20 0.15 0.21 0.36 0.53 0.67 0.74 0.77 0.78 0.82 0.91 1.06 1.26 1.49 1.76 2.04 2.30 2.49 2.56 2.49 2.27 1.96 1.61 1.28 0.99 0.75 0.55 0.41 0.34 0.35 0.44 0.56 0.66 0.68 0.61 0.49 0.37 7.5 + 10.0 0.80 0.76 0.79 0.86 0.95 0.99 0.96 0.85 0.70 0.56 0.48 0.49 0.57 0.73 0.95 1.21 1.53 1.87 2.21 2.47 2.62 2.62 2.49 2.26 2.00 1.74 1.52 1.37 1.28 1.24 1.25 1.28 1.27 1.21 1.10 0.97 0.87 0.84 0.89 1.01 1.15 1.24 1.28 1.28 1.27 1.28 1.34 1.45 1.61 1.82 2.07 2.34 2.57 2.71 2.71 2.56 2.27 1.92 1.55 1.21 0.94 0.72 0.57 0.47 0.45 0.51 0.64 0.79 0.91 0.97 0.96 0.88 0.80 0.76 0.79 0.86 0.95 0.99 0.96 0.85 0.70 0.56 0.48 0.49 0.57 0.73 0.95 1.21 1.53 1.87 2.21 2.47 2.62 2.62 2.49 2.26 2.00 1.74 1.52 1.37 1.28 1.24 1.25 1.28 1.27 1.21 1.10 0.97 0.87 0.84 0.89 1.01 1.15 1.24 1.28 1.28 1.27 1.28 1.34 1.45 1.61 1.82 2.07 2.34 2.57 2.71 2.71 2.56 2.27 1.92 1.55 1.21 0.94 0.72 0.57 0.47 0.45 0.51 0.64 0.79 0.91 0.97 0.96 0.88 0.80 10.0 + 12.5 1.15 1.12 1.13 1.17 1.23 1.25 1.22 1.12 0.98 0.84 0.74 0.70 0.74 0.84 1.00 1.21 1.48 1.79 2.13 2.43 2.64 2.72 2.66 2.48 2.25 2.03 1.85 1.74 1.70 1.73 1.78 1.85 1.88 1.86 1.79 1.70 1.64 1.63 1.68 1.77 1.87 1.92 1.92 1.89 1.85 1.82 1.83 1.89 2.00 2.17 2.38 2.59 2.76 2.83 2.75 2.52 2.20 1.83 1.48 1.19 0.97 0.81 0.72 0.67 0.70 0.78 0.91 1.05 1.17 1.24 1.24 1.20 1.15 1.12 1.13 1.17 1.23 1.25 1.22 1.12 0.98 0.84 0.74 0.70 0.74 0.84 1.00 1.21 1.48 1.79 2.13 2.43 2.64 2.72 2.66 2.48 2.25 2.03 1.85 1.74 1.70 1.73 1.78 1.85 1.88 1.86 1.79 1.70 1.64 1.63 1.68 1.77 1.87 1.92 1.92 1.89 1.85 1.82 1.83 1.89 2.00 2.17 2.38 2.59 2.76 2.83 2.75 2.52 2.20 1.83 1.48 1.19 0.97 0.81 0.72 0.67 0.70 0.78 0.91 1.05 1.17 1.24 1.24 1.20 1.15 12.5 + 15.0 1.36 1.34 1.32 1.33 1.35 1.37 1.37 1.31 1.22 1.10 1.00 0.94 0.94 0.98 1.07 1.20 1.39 1.65 1.96 2.27 2.54 2.69 2.70 2.59 2.41 2.22 2.07 1.99 1.99 2.06 2.16 2.26 2.34 2.36 2.34 2.29 2.26 2.27 2.32 2.39 2.44 2.45 2.42 2.34 2.26 2.20 2.18 2.20 2.28 2.41 2.57 2.73 2.82 2.79 2.63 2.35 2.00 1.66 1.37 1.15 1.01 0.93 0.90 0.90 0.95 1.04 1.14 1.24 1.32 1.37 1.39 1.38 1.36 1.34 1.32 1.33 1.35 1.37 1.37 1.31 1.22 1.10 1.00 0.94 0.94 0.98 1.07 1.20 1.39 1.65 1.96 2.27 2.54 2.69 2.70 2.59 2.41 2.22 2.07 1.99 1.99 2.06 2.16 2.26 2.34 2.36 2.34 2.29 2.26 2.27 2.32 2.39 2.44 2.45 2.42 2.34 2.26 2.20 2.18 2.20 2.28 2.41 2.57 2.73 2.82 2.79 2.63 2.35 2.00 1.66 1.37 1.15 1.01 0.93 0.90 0.90 0.95 1.04 1.14 1.24 1.32 1.37 1.39 1.38 1.36 15.0 + 17.5 1.39 1.37 1.34 1.31 1.29 1.29 1.31 1.30 1.27 1.20 1.12 1.06 1.03 1.03 1.06 1.12 1.24 1.43 1.70 2.02 2.31 2.52 2.61 2.56 2.41 2.24 2.10 2.02 2.03 2.11 2.23 2.37 2.48 2.55 2.58 2.58 2.58 2.60 2.64 2.69 2.70 2.67 2.59 2.48 2.37 2.29 2.25 2.27 2.35 2.46 2.59 2.68 2.70 2.59 2.36 2.04 1.69 1.39 1.17 1.04 0.97 0.96 0.97 1.00 1.06 1.13 1.19 1.24 1.28 1.31 1.35 1.38 1.39 1.37 1.34 1.31 1.29 1.29 1.31 1.30 1.27 1.20 1.12 1.06 1.03 1.03 1.06 1.12 1.24 1.43 1.70 2.02 2.31 2.52 2.61 2.56 2.41 2.24 2.10 2.02 2.03 2.11 2.23 2.37 2.48 2.55 2.58 2.58 2.58 2.60 2.64 2.69 2.70 2.67 2.59 2.48 2.37 2.29 2.25 2.27 2.35 2.46 2.59 2.68 2.70 2.59 2.36 2.04 1.69 1.39 1.17 1.04 0.97 0.96 0.97 1.00 1.06 1.13 1.19 1.24 1.28 1.31 1.35 1.38 1.39 17.5 + 20.0 1.24 1.24 1.19 1.10 1.03 1.01 1.02 1.06 1.07 1.05 1.00 0.95 0.92 0.90 0.90 0.93 1.01 1.15 1.39 1.69 2.01 2.26 2.39 2.39 2.28 2.11 1.96 1.86 1.85 1.91 2.04 2.20 2.35 2.48 2.56 2.61 2.64 2.68 2.71 2.73 2.70 2.61 2.48 2.33 2.20 2.11 2.09 2.12 2.21 2.32 2.43 2.48 2.42 2.25 1.97 1.63 1.31 1.05 0.89 0.81 0.80 0.81 0.85 0.89 0.94 0.98 1.00 1.01 1.02 1.05 1.11 1.19 1.24 1.24 1.19 1.10 1.03 1.01 1.02 1.06 1.07 1.05 1.00 0.95 0.92 0.90 0.90 0.93 1.01 1.15 1.39 1.69 2.01 2.26 2.39 2.39 2.28 2.11 1.96 1.86 1.85 1.91 2.04 2.20 2.35 2.48 2.56 2.61 2.64 2.68 2.71 2.73 2.70 2.61 2.48 2.33 2.20 2.11 2.09 2.12 2.21 2.32 2.43 2.48 2.42 2.25 1.97 1.63 1.31 1.05 0.89 0.81 0.80 0.81 0.85 0.89 0.94 0.98 1.00 1.01 1.02 1.05 1.11 1.19 1.24 20.0 + 22.5 0.97 0.98 0.90 0.77 0.64 0.58 0.59 0.64 0.69 0.71 0.69 0.66 0.64 0.63 0.64 0.67 0.73 0.86 1.07 1.35 1.66 1.93 2.09 2.13 2.05 1.91 1.76 1.65 1.61 1.66 1.79 1.97 2.17 2.36 2.51 2.62 2.69 2.74 2.77 2.75 2.67 2.53 2.34 2.15 1.99 1.89 1.86 1.90 1.99 2.09 2.16 2.16 2.05 1.83 1.53 1.20 0.90 0.69 0.57 0.52 0.51 0.52 0.55 0.59 0.62 0.64 0.63 0.60 0.59 0.64 0.74 0.87 0.97 0.98 0.90 0.77 0.64 0.58 0.59 0.64 0.69 0.71 0.69 0.66 0.64 0.63 0.64 0.67 0.73 0.86 1.07 1.35 1.66 1.93 2.09 2.13 2.05 1.91 1.76 1.65 1.61 1.66 1.79 1.97 2.17 2.36 2.51 2.62 2.69 2.74 2.77 2.75 2.67 2.53 2.34 2.15 1.99 1.89 1.86 1.90 1.99 2.09 2.16 2.16 2.05 1.83 1.53 1.20 0.90 0.69 0.57 0.52 0.51 0.52 0.55 0.59 0.62 0.64 0.63 0.60 0.59 0.64 0.74 0.87 0.97 22.5 + 25.0 0.62 0.65 0.56 0.39 0.22 0.12 0.12 0.19 0.26 0.31 0.32 0.30 0.29 0.31 0.34 0.39 0.47 0.59 0.77 1.02 1.30 1.56 1.74 1.82 1.79 1.70 1.60 1.52 1.51 1.57 1.72 1.93 2.17 2.41 2.63 2.81 2.93 3.01 3.02 2.97 2.85 2.66 2.43 2.19 1.99 1.85 1.78 1.78 1.82 1.87 1.87 1.81 1.65 1.39 1.09 0.79 0.54 0.36 0.27 0.22 0.19 0.19 0.20 0.22 0.25 0.25 0.21 0.16 0.14 0.18 0.31 0.48 0.62 0.65 0.56 0.39 0.22 0.12 0.12 0.19 0.26 0.31 0.32 0.30 0.29 0.31 0.34 0.39 0.47 0.59 0.77 1.02 1.30 1.56 1.74 1.82 1.79 1.70 1.60 1.52 1.51 1.57 1.72 1.93 2.17 2.41 2.63 2.81 2.93 3.01 3.02 2.97 2.85 2.66 2.43 2.19 1.99 1.85 1.78 1.78 1.82 1.87 1.87 1.81 1.65 1.39 1.09 0.79 0.54 0.36 0.27 0.22 0.19 0.19 0.20 0.22 0.25 0.25 0.21 0.16 0.14 0.18 0.31 0.48 0.62 25.0 + 27.5 0.27 0.32 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.04 0.09 0.17 0.26 0.36 0.51 0.71 0.95 1.18 1.37 1.49 1.54 1.54 1.54 1.55 1.60 1.72 1.90 2.13 2.40 2.69 2.97 3.20 3.37 3.47 3.48 3.42 3.27 3.05 2.79 2.52 2.27 2.07 1.92 1.83 1.77 1.71 1.62 1.46 1.24 0.97 0.68 0.43 0.23 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.27 0.32 0.22 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.04 0.09 0.17 0.26 0.36 0.51 0.71 0.95 1.18 1.37 1.49 1.54 1.54 1.54 1.55 1.60 1.72 1.90 2.13 2.40 2.69 2.97 3.20 3.37 3.47 3.48 3.42 3.27 3.05 2.79 2.52 2.27 2.07 1.92 1.83 1.77 1.71 1.62 1.46 1.24 0.97 0.68 0.43 0.23 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.27 27.5 + 30.0 0.02 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.19 0.30 0.44 0.62 0.82 1.01 1.17 1.30 1.41 1.52 1.65 1.80 1.98 2.19 2.43 2.71 3.01 3.30 3.56 3.76 3.88 3.91 3.84 3.69 3.48 3.22 2.95 2.67 2.41 2.17 1.97 1.78 1.59 1.39 1.16 0.89 0.61 0.35 0.15 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.19 0.30 0.44 0.62 0.82 1.01 1.17 1.30 1.41 1.52 1.65 1.80 1.98 2.19 2.43 2.71 3.01 3.30 3.56 3.76 3.88 3.91 3.84 3.69 3.48 3.22 2.95 2.67 2.41 2.17 1.97 1.78 1.59 1.39 1.16 0.89 0.61 0.35 0.15 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.24 0.38 0.54 0.72 0.90 1.07 1.26 1.47 1.69 1.92 2.15 2.36 2.58 2.81 3.06 3.33 3.59 3.79 3.92 3.96 3.90 3.78 3.61 3.40 3.17 2.90 2.62 2.32 2.03 1.74 1.47 1.20 0.92 0.63 0.36 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.24 0.38 0.54 0.72 0.90 1.07 1.26 1.47 1.69 1.92 2.15 2.36 2.58 2.81 3.06 3.33 3.59 3.79 3.92 3.96 3.90 3.78 3.61 3.40 3.17 2.90 2.62 2.32 2.03 1.74 1.47 1.20 0.92 0.63 0.36 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.06 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.28 0.43 0.58 0.74 0.90 1.10 1.33 1.59 1.84 2.06 2.23 2.37 2.52 2.69 2.90 3.11 3.30 3.42 3.46 3.42 3.34 3.23 3.10 2.95 2.75 2.50 2.20 1.89 1.58 1.30 1.04 0.78 0.52 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.28 0.43 0.58 0.74 0.90 1.10 1.33 1.59 1.84 2.06 2.23 2.37 2.52 2.69 2.90 3.11 3.30 3.42 3.46 3.42 3.34 3.23 3.10 2.95 2.75 2.50 2.20 1.89 1.58 1.30 1.04 0.78 0.52 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.06 35.0 + 37.5 0.34 0.38 0.35 0.27 0.17 0.10 0.10 0.13 0.16 0.17 0.13 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.36 0.52 0.64 0.73 0.82 0.95 1.13 1.35 1.56 1.72 1.81 1.84 1.87 1.95 2.09 2.26 2.42 2.52 2.54 2.50 2.44 2.39 2.36 2.31 2.22 2.04 1.81 1.55 1.31 1.11 0.93 0.76 0.57 0.36 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.24 0.30 0.29 0.22 0.15 0.11 0.15 0.24 0.34 0.38 0.35 0.27 0.17 0.10 0.10 0.13 0.16 0.17 0.13 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.36 0.52 0.64 0.73 0.82 0.95 1.13 1.35 1.56 1.72 1.81 1.84 1.87 1.95 2.09 2.26 2.42 2.52 2.54 2.50 2.44 2.39 2.36 2.31 2.22 2.04 1.81 1.55 1.31 1.11 0.93 0.76 0.57 0.36 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.24 0.30 0.29 0.22 0.15 0.11 0.15 0.24 0.34 37.5 + 40.0 0.64 0.69 0.69 0.63 0.55 0.47 0.41 0.37 0.34 0.32 0.29 0.25 0.20 0.13 0.05 0.00 0.00 0.01 0.15 0.36 0.58 0.75 0.83 0.83 0.81 0.83 0.92 1.06 1.20 1.27 1.26 1.18 1.11 1.12 1.21 1.37 1.51 1.58 1.56 1.49 1.42 1.40 1.44 1.50 1.51 1.44 1.29 1.13 0.99 0.91 0.88 0.84 0.74 0.57 0.35 0.12 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.42 0.48 0.50 0.49 0.46 0.46 0.49 0.57 0.64 0.69 0.69 0.63 0.55 0.47 0.41 0.37 0.34 0.32 0.29 0.25 0.20 0.13 0.05 0.00 0.00 0.01 0.15 0.36 0.58 0.75 0.83 0.83 0.81 0.83 0.92 1.06 1.20 1.27 1.26 1.18 1.11 1.12 1.21 1.37 1.51 1.58 1.56 1.49 1.42 1.40 1.44 1.50 1.51 1.44 1.29 1.13 0.99 0.91 0.88 0.84 0.74 0.57 0.35 0.12 0.00 0.00 0.00 0.00 0.04 0.13 0.23 0.33 0.42 0.48 0.50 0.49 0.46 0.46 0.49 0.57 0.64 40.0 + 42.5 0.81 0.86 0.89 0.88 0.83 0.74 0.64 0.53 0.46 0.44 0.45 0.46 0.44 0.36 0.23 0.08 0.00 0.05 0.24 0.52 0.81 0.99 1.03 0.94 0.81 0.72 0.72 0.80 0.88 0.88 0.78 0.62 0.49 0.47 0.58 0.77 0.92 0.97 0.89 0.75 0.63 0.60 0.67 0.80 0.89 0.90 0.82 0.72 0.67 0.71 0.82 0.91 0.91 0.78 0.54 0.27 0.06 0.00 0.01 0.13 0.27 0.39 0.47 0.51 0.55 0.58 0.62 0.65 0.68 0.70 0.73 0.76 0.81 0.86 0.89 0.88 0.83 0.74 0.64 0.53 0.46 0.44 0.45 0.46 0.44 0.36 0.23 0.08 0.00 0.05 0.24 0.52 0.81 0.99 1.03 0.94 0.81 0.72 0.72 0.80 0.88 0.88 0.78 0.62 0.49 0.47 0.58 0.77 0.92 0.97 0.89 0.75 0.63 0.60 0.67 0.80 0.89 0.90 0.82 0.72 0.67 0.71 0.82 0.91 0.91 0.78 0.54 0.27 0.06 0.00 0.01 0.13 0.27 0.39 0.47 0.51 0.55 0.58 0.62 0.65 0.68 0.70 0.73 0.76 0.81 42.5 + 45.0 0.72 0.76 0.83 0.90 0.91 0.84 0.71 0.57 0.49 0.49 0.58 0.68 0.72 0.64 0.44 0.20 0.04 0.05 0.26 0.58 0.90 1.09 1.08 0.91 0.70 0.55 0.53 0.59 0.65 0.62 0.47 0.27 0.13 0.14 0.32 0.58 0.78 0.82 0.68 0.44 0.23 0.14 0.21 0.37 0.51 0.55 0.48 0.39 0.37 0.47 0.67 0.86 0.95 0.86 0.61 0.31 0.09 0.02 0.12 0.33 0.53 0.66 0.69 0.64 0.58 0.56 0.60 0.67 0.73 0.76 0.75 0.72 0.72 0.76 0.83 0.90 0.91 0.84 0.71 0.57 0.49 0.49 0.58 0.68 0.72 0.64 0.44 0.20 0.04 0.05 0.26 0.58 0.90 1.09 1.08 0.91 0.70 0.55 0.53 0.59 0.65 0.62 0.47 0.27 0.13 0.14 0.32 0.58 0.78 0.82 0.68 0.44 0.23 0.14 0.21 0.37 0.51 0.55 0.48 0.39 0.37 0.47 0.67 0.86 0.95 0.86 0.61 0.31 0.09 0.02 0.12 0.33 0.53 0.66 0.69 0.64 0.58 0.56 0.60 0.67 0.73 0.76 0.75 0.72 0.72 45.0 + 47.5 0.38 0.41 0.52 0.67 0.76 0.74 0.62 0.48 0.40 0.47 0.65 0.87 0.98 0.91 0.65 0.31 0.05 0.00 0.16 0.49 0.80 0.96 0.90 0.68 0.44 0.29 0.30 0.41 0.49 0.46 0.30 0.09 0.00 0.05 0.33 0.68 0.95 0.99 0.79 0.46 0.15 0.00 0.04 0.19 0.34 0.36 0.27 0.13 0.07 0.16 0.39 0.64 0.79 0.74 0.52 0.23 0.04 0.03 0.22 0.52 0.78 0.90 0.85 0.69 0.52 0.43 0.45 0.54 0.62 0.62 0.55 0.44 0.38 0.41 0.52 0.67 0.76 0.74 0.62 0.48 0.40 0.47 0.65 0.87 0.98 0.91 0.65 0.31 0.05 0.00 0.16 0.49 0.80 0.96 0.90 0.68 0.44 0.29 0.30 0.41 0.49 0.46 0.30 0.09 0.00 0.05 0.33 0.68 0.95 0.99 0.79 0.46 0.15 0.00 0.04 0.19 0.34 0.36 0.27 0.13 0.07 0.16 0.39 0.64 0.79 0.74 0.52 0.23 0.04 0.03 0.22 0.52 0.78 0.90 0.85 0.69 0.52 0.43 0.45 0.54 0.62 0.62 0.55 0.44 0.38 47.5 + 50.0 0.00 0.00 0.09 0.32 0.49 0.52 0.42 0.28 0.24 0.37 0.66 0.99 1.19 1.13 0.83 0.40 0.03 0.00 0.00 0.29 0.56 0.66 0.55 0.30 0.06 0.00 0.04 0.22 0.36 0.36 0.19 0.00 0.00 0.04 0.41 0.86 1.18 1.24 1.00 0.59 0.20 0.00 0.00 0.14 0.27 0.27 0.11 0.00 0.00 0.00 0.04 0.31 0.50 0.50 0.31 0.08 0.00 0.02 0.31 0.68 0.99 1.08 0.94 0.66 0.38 0.22 0.22 0.32 0.41 0.40 0.26 0.06 0.00 0.00 0.09 0.32 0.49 0.52 0.42 0.28 0.24 0.37 0.66 0.99 1.19 1.13 0.83 0.40 0.03 0.00 0.00 0.29 0.56 0.66 0.55 0.30 0.06 0.00 0.04 0.22 0.36 0.36 0.19 0.00 0.00 0.04 0.41 0.86 1.18 1.24 1.00 0.59 0.20 0.00 0.00 0.14 0.27 0.27 0.11 0.00 0.00 0.00 0.04 0.31 0.50 0.50 0.31 0.08 0.00 0.02 0.31 0.68 0.99 1.08 0.94 0.66 0.38 0.22 0.22 0.32 0.41 0.40 0.26 0.06 0.00 50.0 + 52.5 0.00 0.00 0.00 0.02 0.24 0.30 0.21 0.07 0.05 0.23 0.61 1.03 1.30 1.28 0.96 0.47 0.04 0.00 0.00 0.10 0.31 0.36 0.21 0.00 0.00 0.00 0.00 0.08 0.27 0.28 0.11 0.00 0.00 0.02 0.43 0.93 1.29 1.35 1.10 0.66 0.23 0.00 0.00 0.12 0.24 0.21 0.01 0.00 0.00 0.00 0.00 0.03 0.24 0.28 0.15 0.00 0.00 0.04 0.40 0.83 1.13 1.18 0.96 0.57 0.20 0.00 0.00 0.13 0.25 0.23 0.04 0.00 0.00 0.00 0.00 0.02 0.24 0.30 0.21 0.07 0.05 0.23 0.61 1.03 1.30 1.28 0.96 0.47 0.04 0.00 0.00 0.10 0.31 0.36 0.21 0.00 0.00 0.00 0.00 0.08 0.27 0.28 0.11 0.00 0.00 0.02 0.43 0.93 1.29 1.35 1.10 0.66 0.23 0.00 0.00 0.12 0.24 0.21 0.01 0.00 0.00 0.00 0.00 0.03 0.24 0.28 0.15 0.00 0.00 0.04 0.40 0.83 1.13 1.18 0.96 0.57 0.20 0.00 0.00 0.13 0.25 0.23 0.04 0.00 0.00 52.5 + 55.0 0.00 0.00 0.00 0.00 0.15 0.20 0.09 0.00 0.00 0.11 0.53 1.01 1.33 1.35 1.04 0.55 0.09 0.00 0.00 0.04 0.20 0.20 0.02 0.00 0.00 0.00 0.00 0.05 0.25 0.27 0.10 0.00 0.00 0.00 0.39 0.88 1.24 1.31 1.06 0.64 0.23 0.00 0.00 0.12 0.23 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.22 0.12 0.00 0.00 0.14 0.52 0.95 1.23 1.22 0.93 0.47 0.06 0.00 0.00 0.07 0.23 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.15 0.20 0.09 0.00 0.00 0.11 0.53 1.01 1.33 1.35 1.04 0.55 0.09 0.00 0.00 0.04 0.20 0.20 0.02 0.00 0.00 0.00 0.00 0.05 0.25 0.27 0.10 0.00 0.00 0.00 0.39 0.88 1.24 1.31 1.06 0.64 0.23 0.00 0.00 0.12 0.23 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.22 0.12 0.00 0.00 0.14 0.52 0.95 1.23 1.22 0.93 0.47 0.06 0.00 0.00 0.07 0.23 0.23 0.04 0.00 0.00 55.0 + 57.5 0.00 0.00 0.00 0.08 0.26 0.27 0.11 0.00 0.00 0.05 0.47 0.95 1.29 1.33 1.05 0.60 0.18 0.00 0.00 0.11 0.23 0.21 0.02 0.00 0.00 0.00 0.00 0.14 0.33 0.34 0.17 0.00 0.00 0.01 0.37 0.80 1.11 1.18 0.97 0.61 0.26 0.07 0.07 0.19 0.30 0.26 0.08 0.00 0.00 0.00 0.00 0.10 0.30 0.35 0.26 0.12 0.10 0.28 0.64 1.03 1.26 1.21 0.89 0.42 0.01 0.00 0.00 0.15 0.38 0.43 0.27 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.11 0.00 0.00 0.05 0.47 0.95 1.29 1.33 1.05 0.60 0.18 0.00 0.00 0.11 0.23 0.21 0.02 0.00 0.00 0.00 0.00 0.14 0.33 0.34 0.17 0.00 0.00 0.01 0.37 0.80 1.11 1.18 0.97 0.61 0.26 0.07 0.07 0.19 0.30 0.26 0.08 0.00 0.00 0.00 0.00 0.10 0.30 0.35 0.26 0.12 0.10 0.28 0.64 1.03 1.26 1.21 0.89 0.42 0.01 0.00 0.00 0.15 0.38 0.43 0.27 0.00 0.00 57.5 + 60.0 0.16 0.09 0.19 0.37 0.48 0.43 0.24 0.01 0.00 0.07 0.43 0.87 1.18 1.22 0.99 0.59 0.23 0.04 0.06 0.20 0.31 0.29 0.12 0.00 0.00 0.00 0.01 0.27 0.45 0.46 0.31 0.12 0.02 0.11 0.39 0.73 0.98 1.03 0.88 0.60 0.34 0.21 0.22 0.33 0.40 0.37 0.22 0.03 0.00 0.00 0.11 0.34 0.51 0.53 0.42 0.28 0.24 0.38 0.69 1.03 1.22 1.16 0.85 0.42 0.06 0.00 0.05 0.34 0.61 0.71 0.60 0.37 0.16 0.09 0.19 0.37 0.48 0.43 0.24 0.01 0.00 0.07 0.43 0.87 1.18 1.22 0.99 0.59 0.23 0.04 0.06 0.20 0.31 0.29 0.12 0.00 0.00 0.00 0.01 0.27 0.45 0.46 0.31 0.12 0.02 0.11 0.39 0.73 0.98 1.03 0.88 0.60 0.34 0.21 0.22 0.33 0.40 0.37 0.22 0.03 0.00 0.00 0.11 0.34 0.51 0.53 0.42 0.28 0.24 0.38 0.69 1.03 1.22 1.16 0.85 0.42 0.06 0.00 0.05 0.34 0.61 0.71 0.60 0.37 0.16 60.0 + 62.5 0.50 0.43 0.49 0.61 0.67 0.59 0.38 0.15 0.03 0.13 0.42 0.77 1.01 1.03 0.81 0.47 0.17 0.03 0.06 0.20 0.31 0.30 0.17 0.00 0.00 0.00 0.12 0.36 0.52 0.54 0.43 0.28 0.19 0.23 0.42 0.66 0.84 0.88 0.78 0.59 0.42 0.34 0.36 0.43 0.47 0.41 0.28 0.14 0.06 0.12 0.29 0.49 0.61 0.59 0.46 0.30 0.24 0.36 0.62 0.91 1.09 1.06 0.80 0.45 0.16 0.08 0.22 0.51 0.79 0.92 0.86 0.68 0.50 0.43 0.49 0.61 0.67 0.59 0.38 0.15 0.03 0.13 0.42 0.77 1.01 1.03 0.81 0.47 0.17 0.03 0.06 0.20 0.31 0.30 0.17 0.00 0.00 0.00 0.12 0.36 0.52 0.54 0.43 0.28 0.19 0.23 0.42 0.66 0.84 0.88 0.78 0.59 0.42 0.34 0.36 0.43 0.47 0.41 0.28 0.14 0.06 0.12 0.29 0.49 0.61 0.59 0.46 0.30 0.24 0.36 0.62 0.91 1.09 1.06 0.80 0.45 0.16 0.08 0.22 0.51 0.79 0.92 0.86 0.68 0.50 62.5 + 65.0 0.63 0.57 0.62 0.70 0.74 0.67 0.48 0.27 0.15 0.20 0.40 0.65 0.81 0.78 0.58 0.28 0.03 0.00 0.00 0.11 0.22 0.23 0.14 0.00 0.00 0.00 0.14 0.34 0.50 0.54 0.47 0.35 0.28 0.30 0.41 0.56 0.67 0.69 0.62 0.50 0.40 0.36 0.38 0.42 0.41 0.33 0.19 0.07 0.03 0.10 0.26 0.42 0.51 0.46 0.31 0.16 0.09 0.19 0.43 0.70 0.89 0.90 0.73 0.47 0.25 0.20 0.33 0.57 0.81 0.94 0.91 0.77 0.63 0.57 0.62 0.70 0.74 0.67 0.48 0.27 0.15 0.20 0.40 0.65 0.81 0.78 0.58 0.28 0.03 0.00 0.00 0.11 0.22 0.23 0.14 0.00 0.00 0.00 0.14 0.34 0.50 0.54 0.47 0.35 0.28 0.30 0.41 0.56 0.67 0.69 0.62 0.50 0.40 0.36 0.38 0.42 0.41 0.33 0.19 0.07 0.03 0.10 0.26 0.42 0.51 0.46 0.31 0.16 0.09 0.19 0.43 0.70 0.89 0.90 0.73 0.47 0.25 0.20 0.33 0.57 0.81 0.94 0.91 0.77 0.63 65.0 + 67.5 0.58 0.54 0.58 0.66 0.70 0.66 0.53 0.36 0.26 0.27 0.39 0.55 0.64 0.58 0.39 0.13 0.00 0.00 0.00 0.09 0.21 0.24 0.17 0.06 0.00 0.03 0.17 0.34 0.47 0.51 0.47 0.38 0.32 0.32 0.39 0.48 0.54 0.52 0.45 0.35 0.29 0.27 0.29 0.30 0.26 0.16 0.01 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.21 0.48 0.68 0.73 0.63 0.45 0.30 0.25 0.34 0.52 0.70 0.80 0.78 0.68 0.58 0.54 0.58 0.66 0.70 0.66 0.53 0.36 0.26 0.27 0.39 0.55 0.64 0.58 0.39 0.13 0.00 0.00 0.00 0.09 0.21 0.24 0.17 0.06 0.00 0.03 0.17 0.34 0.47 0.51 0.47 0.38 0.32 0.32 0.39 0.48 0.54 0.52 0.45 0.35 0.29 0.27 0.29 0.30 0.26 0.16 0.01 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.21 0.48 0.68 0.73 0.63 0.45 0.30 0.25 0.34 0.52 0.70 0.80 0.78 0.68 0.58 67.5 + 70.0 0.48 0.47 0.52 0.61 0.67 0.67 0.59 0.47 0.38 0.37 0.45 0.55 0.60 0.54 0.38 0.18 0.04 0.04 0.17 0.37 0.54 0.60 0.54 0.42 0.33 0.33 0.41 0.53 0.63 0.64 0.58 0.49 0.44 0.44 0.50 0.57 0.58 0.53 0.42 0.30 0.22 0.20 0.23 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.05 0.19 0.23 0.15 0.00 0.00 0.00 0.00 0.10 0.35 0.55 0.61 0.55 0.42 0.30 0.26 0.32 0.44 0.56 0.63 0.62 0.55 0.48 0.47 0.52 0.61 0.67 0.67 0.59 0.47 0.38 0.37 0.45 0.55 0.60 0.54 0.38 0.18 0.04 0.04 0.17 0.37 0.54 0.60 0.54 0.42 0.33 0.33 0.41 0.53 0.63 0.64 0.58 0.49 0.44 0.44 0.50 0.57 0.58 0.53 0.42 0.30 0.22 0.20 0.23 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.05 0.19 0.23 0.15 0.00 0.00 0.00 0.00 0.10 0.35 0.55 0.61 0.55 0.42 0.30 0.26 0.32 0.44 0.56 0.63 0.62 0.55 0.48 70.0 + 72.5 0.52 0.53 0.60 0.70 0.78 0.80 0.74 0.64 0.56 0.54 0.60 0.70 0.77 0.75 0.64 0.52 0.46 0.56 0.80 1.10 1.35 1.46 1.41 1.25 1.10 1.01 1.02 1.07 1.10 1.05 0.94 0.82 0.76 0.78 0.87 0.95 0.95 0.85 0.68 0.49 0.37 0.34 0.38 0.43 0.41 0.31 0.17 0.07 0.07 0.19 0.37 0.52 0.54 0.42 0.21 0.03 0.00 0.02 0.21 0.42 0.57 0.60 0.53 0.41 0.32 0.29 0.34 0.44 0.53 0.59 0.59 0.55 0.52 0.53 0.60 0.70 0.78 0.80 0.74 0.64 0.56 0.54 0.60 0.70 0.77 0.75 0.64 0.52 0.46 0.56 0.80 1.10 1.35 1.46 1.41 1.25 1.10 1.01 1.02 1.07 1.10 1.05 0.94 0.82 0.76 0.78 0.87 0.95 0.95 0.85 0.68 0.49 0.37 0.34 0.38 0.43 0.41 0.31 0.17 0.07 0.07 0.19 0.37 0.52 0.54 0.42 0.21 0.03 0.00 0.02 0.21 0.42 0.57 0.60 0.53 0.41 0.32 0.29 0.34 0.44 0.53 0.59 0.59 0.55 0.52 72.5 + 75.0 0.73 0.77 0.85 0.96 1.05 1.07 1.01 0.89 0.79 0.76 0.84 0.98 1.11 1.16 1.13 1.08 1.12 1.33 1.71 2.17 2.55 2.73 2.68 2.47 2.21 2.01 1.92 1.88 1.82 1.70 1.52 1.35 1.28 1.33 1.47 1.60 1.62 1.49 1.24 0.97 0.79 0.74 0.81 0.90 0.94 0.87 0.77 0.70 0.75 0.92 1.14 1.28 1.25 1.04 0.74 0.46 0.32 0.35 0.49 0.65 0.73 0.69 0.57 0.44 0.36 0.36 0.45 0.56 0.66 0.73 0.74 0.73 0.73 0.77 0.85 0.96 1.05 1.07 1.01 0.89 0.79 0.76 0.84 0.98 1.11 1.16 1.13 1.08 1.12 1.33 1.71 2.17 2.55 2.73 2.68 2.47 2.21 2.01 1.92 1.88 1.82 1.70 1.52 1.35 1.28 1.33 1.47 1.60 1.62 1.49 1.24 0.97 0.79 0.74 0.81 0.90 0.94 0.87 0.77 0.70 0.75 0.92 1.14 1.28 1.25 1.04 0.74 0.46 0.32 0.35 0.49 0.65 0.73 0.69 0.57 0.44 0.36 0.36 0.45 0.56 0.66 0.73 0.74 0.73 0.73 75.0 + 77.5 1.01 1.07 1.17 1.30 1.39 1.39 1.30 1.15 1.02 0.99 1.10 1.30 1.51 1.62 1.64 1.63 1.74 2.07 2.61 3.25 3.78 4.06 4.01 3.71 3.33 3.01 2.80 2.67 2.53 2.32 2.07 1.85 1.77 1.87 2.08 2.29 2.34 2.19 1.87 1.53 1.30 1.25 1.36 1.51 1.60 1.59 1.53 1.51 1.63 1.87 2.13 2.26 2.14 1.80 1.34 0.93 0.71 0.69 0.81 0.92 0.93 0.81 0.63 0.47 0.41 0.47 0.61 0.77 0.90 0.97 0.99 0.99 1.01 1.07 1.17 1.30 1.39 1.39 1.30 1.15 1.02 0.99 1.10 1.30 1.51 1.62 1.64 1.63 1.74 2.07 2.61 3.25 3.78 4.06 4.01 3.71 3.33 3.01 2.80 2.67 2.53 2.32 2.07 1.85 1.77 1.87 2.08 2.29 2.34 2.19 1.87 1.53 1.30 1.25 1.36 1.51 1.60 1.59 1.53 1.51 1.63 1.87 2.13 2.26 2.14 1.80 1.34 0.93 0.71 0.69 0.81 0.92 0.93 0.81 0.63 0.47 0.41 0.47 0.61 0.77 0.90 0.97 0.99 0.99 1.01 77.5 + 80.0 1.15 1.23 1.37 1.52 1.63 1.63 1.50 1.30 1.13 1.10 1.25 1.51 1.78 1.92 1.94 1.92 2.04 2.43 3.11 3.92 4.61 4.98 4.93 4.55 4.05 3.60 3.28 3.08 2.88 2.61 2.29 2.03 1.94 2.08 2.38 2.66 2.76 2.61 2.25 1.85 1.59 1.56 1.71 1.93 2.09 2.13 2.11 2.17 2.37 2.69 3.00 3.10 2.88 2.36 1.72 1.18 0.88 0.85 0.98 1.08 1.05 0.88 0.64 0.46 0.43 0.55 0.76 0.96 1.11 1.17 1.16 1.14 1.15 1.23 1.37 1.52 1.63 1.63 1.50 1.30 1.13 1.10 1.25 1.51 1.78 1.92 1.94 1.92 2.04 2.43 3.11 3.92 4.61 4.98 4.93 4.55 4.05 3.60 3.28 3.08 2.88 2.61 2.29 2.03 1.94 2.08 2.38 2.66 2.76 2.61 2.25 1.85 1.59 1.56 1.71 1.93 2.09 2.13 2.11 2.17 2.37 2.69 3.00 3.10 2.88 2.36 1.72 1.18 0.88 0.85 0.98 1.08 1.05 0.88 0.64 0.46 0.43 0.55 0.76 0.96 1.11 1.17 1.16 1.14 1.15 80.0 + 82.5 1.03 1.12 1.30 1.51 1.65 1.65 1.50 1.27 1.08 1.04 1.22 1.52 1.80 1.93 1.87 1.77 1.84 2.24 3.01 3.95 4.78 5.22 5.17 4.72 4.11 3.56 3.18 2.92 2.68 2.37 2.01 1.71 1.63 1.80 2.16 2.51 2.65 2.51 2.13 1.71 1.44 1.44 1.65 1.93 2.14 2.23 2.27 2.40 2.70 3.12 3.47 3.54 3.21 2.52 1.72 1.05 0.72 0.73 0.91 1.07 1.04 0.84 0.57 0.38 0.38 0.55 0.81 1.05 1.17 1.18 1.11 1.04 1.03 1.12 1.30 1.51 1.65 1.65 1.50 1.27 1.08 1.04 1.22 1.52 1.80 1.93 1.87 1.77 1.84 2.24 3.01 3.95 4.78 5.22 5.17 4.72 4.11 3.56 3.18 2.92 2.68 2.37 2.01 1.71 1.63 1.80 2.16 2.51 2.65 2.51 2.13 1.71 1.44 1.44 1.65 1.93 2.14 2.23 2.27 2.40 2.70 3.12 3.47 3.54 3.21 2.52 1.72 1.05 0.72 0.73 0.91 1.07 1.04 0.84 0.57 0.38 0.38 0.55 0.81 1.05 1.17 1.18 1.11 1.04 1.03 82.5 + 85.0 0.69 0.79 1.02 1.27 1.46 1.48 1.32 1.07 0.86 0.82 1.01 1.32 1.58 1.64 1.48 1.26 1.23 1.61 2.41 3.43 4.35 4.84 4.79 4.30 3.62 3.02 2.60 2.33 2.08 1.75 1.36 1.04 0.95 1.15 1.55 1.94 2.11 1.96 1.58 1.15 0.90 0.94 1.20 1.53 1.79 1.92 2.02 2.23 2.64 3.15 3.55 3.60 3.17 2.35 1.41 0.68 0.35 0.42 0.70 0.93 0.94 0.74 0.46 0.28 0.30 0.51 0.79 1.02 1.10 1.03 0.87 0.73 0.69 0.79 1.02 1.27 1.46 1.48 1.32 1.07 0.86 0.82 1.01 1.32 1.58 1.64 1.48 1.26 1.23 1.61 2.41 3.43 4.35 4.84 4.79 4.30 3.62 3.02 2.60 2.33 2.08 1.75 1.36 1.04 0.95 1.15 1.55 1.94 2.11 1.96 1.58 1.15 0.90 0.94 1.20 1.53 1.79 1.92 2.02 2.23 2.64 3.15 3.55 3.60 3.17 2.35 1.41 0.68 0.35 0.42 0.70 0.93 0.94 0.74 0.46 0.28 0.30 0.51 0.79 1.02 1.10 1.03 0.87 0.73 0.69 85.0 + 87.5 0.33 0.44 0.68 0.98 1.19 1.23 1.06 0.79 0.57 0.53 0.72 1.02 1.25 1.24 0.98 0.65 0.53 0.86 1.66 2.72 3.68 4.20 4.16 3.65 2.95 2.34 1.93 1.68 1.44 1.11 0.71 0.38 0.29 0.50 0.91 1.32 1.49 1.34 0.95 0.53 0.30 0.36 0.67 1.04 1.33 1.50 1.66 1.96 2.45 3.05 3.51 3.55 3.05 2.14 1.12 0.35 0.04 0.17 0.53 0.83 0.88 0.69 0.41 0.22 0.26 0.49 0.78 0.98 1.00 0.85 0.61 0.40 0.33 0.44 0.68 0.98 1.19 1.23 1.06 0.79 0.57 0.53 0.72 1.02 1.25 1.24 0.98 0.65 0.53 0.86 1.66 2.72 3.68 4.20 4.16 3.65 2.95 2.34 1.93 1.68 1.44 1.11 0.71 0.38 0.29 0.50 0.91 1.32 1.49 1.34 0.95 0.53 0.30 0.36 0.67 1.04 1.33 1.50 1.66 1.96 2.45 3.05 3.51 3.55 3.05 2.14 1.12 0.35 0.04 0.17 0.53 0.83 0.88 0.69 0.41 0.22 0.26 0.49 0.78 0.98 1.00 0.85 0.61 0.40 0.33 87.5 + 90.0 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 90.0 + + 45.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.46 ) PHI2 = 45. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.0 + 2.5 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.19 2.27 2.23 2.08 1.86 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.86 2.08 2.23 2.27 2.19 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.39 0.37 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.10 0.28 0.37 0.39 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.00 2.19 2.27 2.23 2.08 1.86 1.61 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.86 2.08 2.23 2.27 2.19 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.37 0.39 0.37 0.28 0.10 0.00 0.00 0.00 2.5 + 5.0 0.00 0.00 0.12 0.31 0.44 0.48 0.44 0.37 0.34 0.38 0.50 0.67 0.88 1.12 1.39 1.68 1.98 2.22 2.36 2.36 2.24 2.03 1.78 1.51 1.26 1.03 0.82 0.65 0.55 0.50 0.48 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.48 0.50 0.55 0.65 0.82 1.03 1.26 1.51 1.78 2.03 2.24 2.36 2.36 2.22 1.98 1.68 1.39 1.12 0.88 0.67 0.50 0.38 0.34 0.37 0.44 0.48 0.44 0.31 0.12 0.00 0.00 0.00 0.12 0.31 0.44 0.48 0.44 0.37 0.34 0.38 0.50 0.67 0.88 1.12 1.39 1.68 1.98 2.22 2.36 2.36 2.24 2.03 1.78 1.51 1.26 1.03 0.82 0.65 0.55 0.50 0.48 0.45 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.48 0.50 0.55 0.65 0.82 1.03 1.26 1.51 1.78 2.03 2.24 2.36 2.36 2.22 1.98 1.68 1.39 1.12 0.88 0.67 0.50 0.38 0.34 0.37 0.44 0.48 0.44 0.31 0.12 0.00 0.00 5.0 + 7.5 0.33 0.37 0.49 0.62 0.69 0.67 0.58 0.46 0.37 0.35 0.42 0.55 0.75 0.99 1.28 1.60 1.94 2.25 2.46 2.53 2.47 2.28 2.02 1.75 1.48 1.24 1.05 0.90 0.82 0.78 0.78 0.75 0.67 0.53 0.35 0.21 0.15 0.21 0.35 0.53 0.67 0.75 0.78 0.78 0.82 0.90 1.05 1.24 1.48 1.75 2.02 2.28 2.47 2.53 2.46 2.25 1.94 1.60 1.28 0.99 0.75 0.55 0.42 0.35 0.37 0.46 0.58 0.67 0.69 0.62 0.49 0.37 0.33 0.37 0.49 0.62 0.69 0.67 0.58 0.46 0.37 0.35 0.42 0.55 0.75 0.99 1.28 1.60 1.94 2.25 2.46 2.53 2.47 2.28 2.02 1.75 1.48 1.24 1.05 0.90 0.82 0.78 0.78 0.75 0.67 0.53 0.35 0.21 0.15 0.21 0.35 0.53 0.67 0.75 0.78 0.78 0.82 0.90 1.05 1.24 1.48 1.75 2.02 2.28 2.47 2.53 2.46 2.25 1.94 1.60 1.28 0.99 0.75 0.55 0.42 0.35 0.37 0.46 0.58 0.67 0.69 0.62 0.49 0.37 0.33 7.5 + 10.0 0.77 0.80 0.88 0.96 0.99 0.94 0.82 0.67 0.54 0.47 0.48 0.57 0.73 0.95 1.22 1.54 1.90 2.24 2.52 2.67 2.67 2.54 2.31 2.04 1.79 1.57 1.42 1.32 1.27 1.27 1.29 1.29 1.24 1.13 1.00 0.89 0.85 0.89 1.00 1.13 1.24 1.29 1.29 1.27 1.27 1.32 1.42 1.57 1.79 2.04 2.31 2.54 2.67 2.67 2.52 2.24 1.90 1.54 1.22 0.95 0.73 0.57 0.48 0.47 0.54 0.67 0.82 0.94 0.99 0.96 0.88 0.80 0.77 0.80 0.88 0.96 0.99 0.94 0.82 0.67 0.54 0.47 0.48 0.57 0.73 0.95 1.22 1.54 1.90 2.24 2.52 2.67 2.67 2.54 2.31 2.04 1.79 1.57 1.42 1.32 1.27 1.27 1.29 1.29 1.24 1.13 1.00 0.89 0.85 0.89 1.00 1.13 1.24 1.29 1.29 1.27 1.27 1.32 1.42 1.57 1.79 2.04 2.31 2.54 2.67 2.67 2.52 2.24 1.90 1.54 1.22 0.95 0.73 0.57 0.48 0.47 0.54 0.67 0.82 0.94 0.99 0.96 0.88 0.80 0.77 10.0 + 12.5 1.14 1.16 1.20 1.25 1.26 1.21 1.10 0.96 0.82 0.73 0.70 0.74 0.84 0.99 1.21 1.48 1.81 2.17 2.48 2.70 2.78 2.72 2.55 2.33 2.11 1.93 1.82 1.78 1.78 1.83 1.88 1.91 1.90 1.84 1.75 1.67 1.64 1.67 1.75 1.84 1.90 1.91 1.88 1.83 1.78 1.78 1.82 1.93 2.11 2.33 2.55 2.72 2.78 2.70 2.48 2.17 1.81 1.48 1.21 0.99 0.84 0.74 0.70 0.73 0.82 0.96 1.10 1.21 1.26 1.25 1.20 1.16 1.14 1.16 1.20 1.25 1.26 1.21 1.10 0.96 0.82 0.73 0.70 0.74 0.84 0.99 1.21 1.48 1.81 2.17 2.48 2.70 2.78 2.72 2.55 2.33 2.11 1.93 1.82 1.78 1.78 1.83 1.88 1.91 1.90 1.84 1.75 1.67 1.64 1.67 1.75 1.84 1.90 1.91 1.88 1.83 1.78 1.78 1.82 1.93 2.11 2.33 2.55 2.72 2.78 2.70 2.48 2.17 1.81 1.48 1.21 0.99 0.84 0.74 0.70 0.73 0.82 0.96 1.10 1.21 1.26 1.25 1.20 1.16 1.14 12.5 + 15.0 1.35 1.36 1.37 1.39 1.39 1.36 1.29 1.19 1.08 0.99 0.94 0.93 0.97 1.05 1.19 1.39 1.66 1.99 2.32 2.59 2.75 2.77 2.67 2.50 2.33 2.19 2.11 2.10 2.14 2.23 2.32 2.39 2.42 2.41 2.36 2.31 2.29 2.31 2.36 2.41 2.42 2.39 2.32 2.23 2.14 2.10 2.11 2.19 2.33 2.50 2.67 2.77 2.75 2.59 2.32 1.99 1.66 1.39 1.19 1.05 0.97 0.93 0.94 0.99 1.08 1.19 1.29 1.36 1.39 1.39 1.37 1.36 1.35 1.36 1.37 1.39 1.39 1.36 1.29 1.19 1.08 0.99 0.94 0.93 0.97 1.05 1.19 1.39 1.66 1.99 2.32 2.59 2.75 2.77 2.67 2.50 2.33 2.19 2.11 2.10 2.14 2.23 2.32 2.39 2.42 2.41 2.36 2.31 2.29 2.31 2.36 2.41 2.42 2.39 2.32 2.23 2.14 2.10 2.11 2.19 2.33 2.50 2.67 2.77 2.75 2.59 2.32 1.99 1.66 1.39 1.19 1.05 0.97 0.93 0.94 0.99 1.08 1.19 1.29 1.36 1.39 1.39 1.37 1.36 1.35 15.0 + 17.5 1.39 1.38 1.36 1.34 1.32 1.31 1.29 1.24 1.18 1.11 1.05 1.01 1.01 1.03 1.09 1.21 1.42 1.70 2.03 2.34 2.57 2.66 2.63 2.51 2.36 2.23 2.16 2.16 2.21 2.31 2.44 2.55 2.63 2.66 2.66 2.63 2.62 2.63 2.66 2.66 2.63 2.55 2.44 2.31 2.21 2.16 2.16 2.23 2.36 2.51 2.63 2.66 2.57 2.34 2.03 1.70 1.42 1.21 1.09 1.03 1.01 1.01 1.05 1.11 1.18 1.24 1.29 1.31 1.32 1.34 1.36 1.38 1.39 1.38 1.36 1.34 1.32 1.31 1.29 1.24 1.18 1.11 1.05 1.01 1.01 1.03 1.09 1.21 1.42 1.70 2.03 2.34 2.57 2.66 2.63 2.51 2.36 2.23 2.16 2.16 2.21 2.31 2.44 2.55 2.63 2.66 2.66 2.63 2.62 2.63 2.66 2.66 2.63 2.55 2.44 2.31 2.21 2.16 2.16 2.23 2.36 2.51 2.63 2.66 2.57 2.34 2.03 1.70 1.42 1.21 1.09 1.03 1.01 1.01 1.05 1.11 1.18 1.24 1.29 1.31 1.32 1.34 1.36 1.38 1.39 17.5 + 20.0 1.26 1.23 1.16 1.09 1.04 1.03 1.05 1.05 1.03 0.99 0.94 0.90 0.87 0.86 0.88 0.95 1.11 1.35 1.67 1.99 2.26 2.42 2.44 2.36 2.23 2.09 2.00 1.98 2.02 2.13 2.28 2.44 2.57 2.65 2.69 2.71 2.71 2.71 2.69 2.65 2.57 2.44 2.28 2.13 2.02 1.98 2.00 2.09 2.23 2.36 2.44 2.42 2.26 1.99 1.67 1.35 1.11 0.95 0.88 0.86 0.87 0.90 0.94 0.99 1.03 1.05 1.05 1.03 1.04 1.09 1.16 1.23 1.26 1.23 1.16 1.09 1.04 1.03 1.05 1.05 1.03 0.99 0.94 0.90 0.87 0.86 0.88 0.95 1.11 1.35 1.67 1.99 2.26 2.42 2.44 2.36 2.23 2.09 2.00 1.98 2.02 2.13 2.28 2.44 2.57 2.65 2.69 2.71 2.71 2.71 2.69 2.65 2.57 2.44 2.28 2.13 2.02 1.98 2.00 2.09 2.23 2.36 2.44 2.42 2.26 1.99 1.67 1.35 1.11 0.95 0.88 0.86 0.87 0.90 0.94 0.99 1.03 1.05 1.05 1.03 1.04 1.09 1.16 1.23 1.26 20.0 + 22.5 0.99 0.95 0.83 0.70 0.62 0.60 0.63 0.67 0.68 0.67 0.64 0.61 0.59 0.58 0.60 0.65 0.78 0.99 1.28 1.60 1.89 2.08 2.15 2.11 2.00 1.88 1.78 1.74 1.78 1.90 2.08 2.27 2.46 2.61 2.71 2.76 2.77 2.76 2.71 2.61 2.46 2.27 2.08 1.90 1.78 1.74 1.78 1.88 2.00 2.11 2.15 2.08 1.89 1.60 1.28 0.99 0.78 0.65 0.60 0.58 0.59 0.61 0.64 0.67 0.68 0.67 0.63 0.60 0.62 0.70 0.83 0.95 0.99 0.95 0.83 0.70 0.62 0.60 0.63 0.67 0.68 0.67 0.64 0.61 0.59 0.58 0.60 0.65 0.78 0.99 1.28 1.60 1.89 2.08 2.15 2.11 2.00 1.88 1.78 1.74 1.78 1.90 2.08 2.27 2.46 2.61 2.71 2.76 2.77 2.76 2.71 2.61 2.46 2.27 2.08 1.90 1.78 1.74 1.78 1.88 2.00 2.11 2.15 2.08 1.89 1.60 1.28 0.99 0.78 0.65 0.60 0.58 0.59 0.61 0.64 0.67 0.68 0.67 0.63 0.60 0.62 0.70 0.83 0.95 0.99 22.5 + 25.0 0.65 0.59 0.44 0.27 0.15 0.13 0.17 0.24 0.28 0.29 0.27 0.25 0.25 0.27 0.31 0.37 0.47 0.65 0.90 1.20 1.48 1.70 1.82 1.84 1.79 1.71 1.65 1.65 1.72 1.86 2.07 2.31 2.56 2.76 2.92 3.01 3.04 3.01 2.92 2.76 2.56 2.31 2.07 1.86 1.72 1.65 1.65 1.71 1.79 1.84 1.82 1.70 1.48 1.20 0.90 0.65 0.47 0.37 0.31 0.27 0.25 0.25 0.27 0.29 0.28 0.24 0.17 0.13 0.15 0.27 0.44 0.59 0.65 0.59 0.44 0.27 0.15 0.13 0.17 0.24 0.28 0.29 0.27 0.25 0.25 0.27 0.31 0.37 0.47 0.65 0.90 1.20 1.48 1.70 1.82 1.84 1.79 1.71 1.65 1.65 1.72 1.86 2.07 2.31 2.56 2.76 2.92 3.01 3.04 3.01 2.92 2.76 2.56 2.31 2.07 1.86 1.72 1.65 1.65 1.71 1.79 1.84 1.82 1.70 1.48 1.20 0.90 0.65 0.47 0.37 0.31 0.27 0.25 0.25 0.27 0.29 0.28 0.24 0.17 0.13 0.15 0.27 0.44 0.59 0.65 25.0 + 27.5 0.31 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.14 0.23 0.37 0.57 0.81 1.07 1.31 1.47 1.57 1.62 1.65 1.69 1.76 1.90 2.09 2.33 2.61 2.89 3.14 3.34 3.46 3.50 3.46 3.34 3.14 2.89 2.61 2.33 2.09 1.90 1.76 1.69 1.65 1.62 1.57 1.47 1.31 1.07 0.81 0.57 0.37 0.23 0.14 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.31 0.24 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.14 0.23 0.37 0.57 0.81 1.07 1.31 1.47 1.57 1.62 1.65 1.69 1.76 1.90 2.09 2.33 2.61 2.89 3.14 3.34 3.46 3.50 3.46 3.34 3.14 2.89 2.61 2.33 2.09 1.90 1.76 1.69 1.65 1.62 1.57 1.47 1.31 1.07 0.81 0.57 0.37 0.23 0.14 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.31 27.5 + 30.0 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.29 0.48 0.71 0.95 1.16 1.34 1.49 1.64 1.80 1.99 2.20 2.43 2.70 2.98 3.26 3.52 3.73 3.86 3.91 3.86 3.73 3.52 3.26 2.98 2.70 2.43 2.20 1.99 1.80 1.64 1.49 1.34 1.16 0.95 0.71 0.48 0.29 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.15 0.29 0.48 0.71 0.95 1.16 1.34 1.49 1.64 1.80 1.99 2.20 2.43 2.70 2.98 3.26 3.52 3.73 3.86 3.91 3.86 3.73 3.52 3.26 2.98 2.70 2.43 2.20 1.99 1.80 1.64 1.49 1.34 1.16 0.95 0.71 0.48 0.29 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.25 0.45 0.67 0.90 1.13 1.36 1.60 1.85 2.12 2.38 2.63 2.87 3.11 3.35 3.57 3.76 3.89 3.94 3.89 3.76 3.57 3.35 3.11 2.87 2.63 2.38 2.12 1.85 1.60 1.36 1.13 0.90 0.67 0.45 0.25 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.25 0.45 0.67 0.90 1.13 1.36 1.60 1.85 2.12 2.38 2.63 2.87 3.11 3.35 3.57 3.76 3.89 3.94 3.89 3.76 3.57 3.35 3.11 2.87 2.63 2.38 2.12 1.85 1.60 1.36 1.13 0.90 0.67 0.45 0.25 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.17 0.35 0.55 0.76 0.97 1.19 1.45 1.73 2.01 2.27 2.49 2.66 2.81 2.96 3.12 3.27 3.39 3.43 3.39 3.27 3.12 2.96 2.81 2.66 2.49 2.27 2.01 1.73 1.45 1.19 0.97 0.76 0.55 0.35 0.17 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.07 0.11 0.07 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.17 0.35 0.55 0.76 0.97 1.19 1.45 1.73 2.01 2.27 2.49 2.66 2.81 2.96 3.12 3.27 3.39 3.43 3.39 3.27 3.12 2.96 2.81 2.66 2.49 2.27 2.01 1.73 1.45 1.19 0.97 0.76 0.55 0.35 0.17 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.01 0.00 0.00 0.00 0.00 0.00 0.07 0.11 35.0 + 37.5 0.40 0.36 0.27 0.18 0.13 0.14 0.19 0.24 0.24 0.19 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.44 0.61 0.75 0.88 1.02 1.21 1.45 1.68 1.88 2.01 2.08 2.11 2.17 2.26 2.38 2.48 2.52 2.48 2.38 2.26 2.17 2.11 2.08 2.01 1.88 1.68 1.45 1.21 1.02 0.88 0.75 0.61 0.44 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.19 0.24 0.24 0.19 0.14 0.13 0.18 0.27 0.36 0.40 0.36 0.27 0.18 0.13 0.14 0.19 0.24 0.24 0.19 0.10 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.44 0.61 0.75 0.88 1.02 1.21 1.45 1.68 1.88 2.01 2.08 2.11 2.17 2.26 2.38 2.48 2.52 2.48 2.38 2.26 2.17 2.11 2.08 2.01 1.88 1.68 1.45 1.21 1.02 0.88 0.75 0.61 0.44 0.26 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.19 0.24 0.24 0.19 0.14 0.13 0.18 0.27 0.36 0.40 37.5 + 40.0 0.72 0.69 0.63 0.55 0.50 0.47 0.46 0.45 0.42 0.37 0.30 0.22 0.13 0.04 0.00 0.00 0.00 0.04 0.24 0.47 0.67 0.80 0.85 0.86 0.87 0.95 1.09 1.25 1.36 1.39 1.34 1.28 1.26 1.31 1.43 1.54 1.59 1.54 1.43 1.31 1.26 1.28 1.34 1.39 1.36 1.25 1.09 0.95 0.87 0.86 0.85 0.80 0.67 0.47 0.24 0.04 0.00 0.00 0.00 0.04 0.13 0.22 0.30 0.37 0.42 0.45 0.46 0.47 0.50 0.55 0.63 0.69 0.72 0.69 0.63 0.55 0.50 0.47 0.46 0.45 0.42 0.37 0.30 0.22 0.13 0.04 0.00 0.00 0.00 0.04 0.24 0.47 0.67 0.80 0.85 0.86 0.87 0.95 1.09 1.25 1.36 1.39 1.34 1.28 1.26 1.31 1.43 1.54 1.59 1.54 1.43 1.31 1.26 1.28 1.34 1.39 1.36 1.25 1.09 0.95 0.87 0.86 0.85 0.80 0.67 0.47 0.24 0.04 0.00 0.00 0.00 0.04 0.13 0.22 0.30 0.37 0.42 0.45 0.46 0.47 0.50 0.55 0.63 0.69 0.72 40.0 + 42.5 0.88 0.88 0.85 0.82 0.76 0.70 0.62 0.56 0.52 0.50 0.49 0.46 0.38 0.24 0.09 0.00 0.00 0.13 0.39 0.68 0.91 1.00 0.95 0.83 0.72 0.70 0.77 0.86 0.90 0.85 0.71 0.58 0.53 0.60 0.76 0.92 0.98 0.92 0.76 0.60 0.53 0.58 0.71 0.85 0.90 0.86 0.77 0.70 0.72 0.83 0.95 1.00 0.91 0.68 0.39 0.13 0.00 0.00 0.09 0.24 0.38 0.46 0.49 0.50 0.52 0.56 0.62 0.70 0.76 0.82 0.85 0.88 0.88 0.88 0.85 0.82 0.76 0.70 0.62 0.56 0.52 0.50 0.49 0.46 0.38 0.24 0.09 0.00 0.00 0.13 0.39 0.68 0.91 1.00 0.95 0.83 0.72 0.70 0.77 0.86 0.90 0.85 0.71 0.58 0.53 0.60 0.76 0.92 0.98 0.92 0.76 0.60 0.53 0.58 0.71 0.85 0.90 0.86 0.77 0.70 0.72 0.83 0.95 1.00 0.91 0.68 0.39 0.13 0.00 0.00 0.09 0.24 0.38 0.46 0.49 0.50 0.52 0.56 0.62 0.70 0.76 0.82 0.85 0.88 0.88 42.5 + 45.0 0.77 0.79 0.83 0.86 0.83 0.75 0.65 0.56 0.53 0.58 0.66 0.71 0.66 0.49 0.25 0.06 0.01 0.15 0.43 0.76 0.99 1.04 0.91 0.69 0.51 0.45 0.50 0.58 0.60 0.50 0.32 0.17 0.13 0.27 0.51 0.74 0.84 0.74 0.51 0.27 0.13 0.17 0.32 0.50 0.60 0.58 0.50 0.45 0.51 0.69 0.91 1.04 0.99 0.76 0.43 0.15 0.01 0.06 0.25 0.49 0.66 0.71 0.66 0.58 0.53 0.56 0.65 0.75 0.83 0.86 0.83 0.79 0.77 0.79 0.83 0.86 0.83 0.75 0.65 0.56 0.53 0.58 0.66 0.71 0.66 0.49 0.25 0.06 0.01 0.15 0.43 0.76 0.99 1.04 0.91 0.69 0.51 0.45 0.50 0.58 0.60 0.50 0.32 0.17 0.13 0.27 0.51 0.74 0.84 0.74 0.51 0.27 0.13 0.17 0.32 0.50 0.60 0.58 0.50 0.45 0.51 0.69 0.91 1.04 0.99 0.76 0.43 0.15 0.01 0.06 0.25 0.49 0.66 0.71 0.66 0.58 0.53 0.56 0.65 0.75 0.83 0.86 0.83 0.79 0.77 45.0 + 47.5 0.39 0.44 0.56 0.67 0.70 0.64 0.52 0.42 0.44 0.58 0.78 0.93 0.92 0.72 0.40 0.10 0.00 0.06 0.33 0.65 0.85 0.85 0.66 0.40 0.20 0.16 0.25 0.38 0.42 0.32 0.14 0.00 0.01 0.23 0.58 0.89 1.02 0.89 0.58 0.23 0.01 0.00 0.14 0.32 0.42 0.38 0.25 0.16 0.20 0.40 0.66 0.85 0.85 0.65 0.33 0.06 0.00 0.10 0.40 0.72 0.92 0.93 0.78 0.58 0.44 0.42 0.52 0.64 0.70 0.67 0.56 0.44 0.39 0.44 0.56 0.67 0.70 0.64 0.52 0.42 0.44 0.58 0.78 0.93 0.92 0.72 0.40 0.10 0.00 0.06 0.33 0.65 0.85 0.85 0.66 0.40 0.20 0.16 0.25 0.38 0.42 0.32 0.14 0.00 0.01 0.23 0.58 0.89 1.02 0.89 0.58 0.23 0.01 0.00 0.14 0.32 0.42 0.38 0.25 0.16 0.20 0.40 0.66 0.85 0.85 0.65 0.33 0.06 0.00 0.10 0.40 0.72 0.92 0.93 0.78 0.58 0.44 0.42 0.52 0.64 0.70 0.67 0.56 0.44 0.39 47.5 + 50.0 0.00 0.00 0.16 0.36 0.46 0.41 0.29 0.20 0.27 0.50 0.83 1.09 1.14 0.93 0.54 0.14 0.00 0.00 0.14 0.41 0.57 0.51 0.28 0.00 0.00 0.00 0.02 0.21 0.30 0.22 0.04 0.00 0.00 0.28 0.72 1.11 1.27 1.11 0.72 0.28 0.00 0.00 0.04 0.22 0.30 0.21 0.02 0.00 0.00 0.00 0.28 0.51 0.57 0.41 0.14 0.00 0.00 0.14 0.54 0.93 1.14 1.09 0.83 0.50 0.27 0.20 0.29 0.41 0.46 0.36 0.16 0.00 0.00 0.00 0.16 0.36 0.46 0.41 0.29 0.20 0.27 0.50 0.83 1.09 1.14 0.93 0.54 0.14 0.00 0.00 0.14 0.41 0.57 0.51 0.28 0.00 0.00 0.00 0.02 0.21 0.30 0.22 0.04 0.00 0.00 0.28 0.72 1.11 1.27 1.11 0.72 0.28 0.00 0.00 0.04 0.22 0.30 0.21 0.02 0.00 0.00 0.00 0.28 0.51 0.57 0.41 0.14 0.00 0.00 0.14 0.54 0.93 1.14 1.09 0.83 0.50 0.27 0.20 0.29 0.41 0.46 0.36 0.16 0.00 0.00 50.0 + 52.5 0.00 0.00 0.00 0.11 0.24 0.20 0.07 0.00 0.07 0.38 0.81 1.17 1.28 1.08 0.66 0.19 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.00 0.00 0.09 0.21 0.15 0.00 0.00 0.00 0.30 0.79 1.21 1.38 1.21 0.79 0.30 0.00 0.00 0.00 0.15 0.21 0.09 0.00 0.00 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.19 0.66 1.08 1.28 1.17 0.81 0.38 0.07 0.00 0.07 0.20 0.24 0.11 0.00 0.00 0.00 0.00 0.00 0.11 0.24 0.20 0.07 0.00 0.07 0.38 0.81 1.17 1.28 1.08 0.66 0.19 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.00 0.00 0.09 0.21 0.15 0.00 0.00 0.00 0.30 0.79 1.21 1.38 1.21 0.79 0.30 0.00 0.00 0.00 0.15 0.21 0.09 0.00 0.00 0.00 0.00 0.00 0.19 0.29 0.19 0.00 0.00 0.00 0.19 0.66 1.08 1.28 1.17 0.81 0.38 0.07 0.00 0.07 0.20 0.24 0.11 0.00 0.00 0.00 52.5 + 55.0 0.00 0.00 0.00 0.06 0.19 0.12 0.00 0.00 0.00 0.27 0.76 1.18 1.35 1.19 0.77 0.29 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.28 0.76 1.17 1.34 1.17 0.76 0.28 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.29 0.77 1.19 1.35 1.18 0.76 0.27 0.00 0.00 0.00 0.12 0.19 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.19 0.12 0.00 0.00 0.00 0.27 0.76 1.18 1.35 1.19 0.77 0.29 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.28 0.76 1.17 1.34 1.17 0.76 0.28 0.00 0.00 0.00 0.13 0.18 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.18 0.13 0.00 0.00 0.00 0.29 0.77 1.19 1.35 1.18 0.76 0.27 0.00 0.00 0.00 0.12 0.19 0.06 0.00 0.00 0.00 55.0 + 57.5 0.00 0.00 0.00 0.23 0.32 0.21 0.00 0.00 0.00 0.22 0.71 1.16 1.36 1.24 0.86 0.41 0.09 0.00 0.08 0.22 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.25 0.20 0.04 0.00 0.00 0.28 0.70 1.06 1.21 1.06 0.70 0.28 0.00 0.00 0.04 0.20 0.25 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.26 0.22 0.08 0.00 0.09 0.41 0.86 1.24 1.36 1.16 0.71 0.22 0.00 0.00 0.00 0.21 0.32 0.23 0.00 0.00 0.00 0.00 0.00 0.23 0.32 0.21 0.00 0.00 0.00 0.22 0.71 1.16 1.36 1.24 0.86 0.41 0.09 0.00 0.08 0.22 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.13 0.25 0.20 0.04 0.00 0.00 0.28 0.70 1.06 1.21 1.06 0.70 0.28 0.00 0.00 0.04 0.20 0.25 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.26 0.22 0.08 0.00 0.09 0.41 0.86 1.24 1.36 1.16 0.71 0.22 0.00 0.00 0.00 0.21 0.32 0.23 0.00 0.00 0.00 57.5 + 60.0 0.05 0.14 0.34 0.52 0.55 0.39 0.13 0.00 0.00 0.24 0.68 1.10 1.29 1.19 0.86 0.47 0.19 0.12 0.21 0.35 0.40 0.28 0.05 0.00 0.00 0.00 0.04 0.26 0.37 0.33 0.20 0.09 0.13 0.34 0.67 0.95 1.07 0.95 0.67 0.34 0.13 0.09 0.20 0.33 0.37 0.26 0.04 0.00 0.00 0.00 0.05 0.28 0.40 0.35 0.21 0.12 0.19 0.47 0.86 1.19 1.29 1.10 0.68 0.24 0.00 0.00 0.13 0.39 0.55 0.52 0.34 0.14 0.05 0.14 0.34 0.52 0.55 0.39 0.13 0.00 0.00 0.24 0.68 1.10 1.29 1.19 0.86 0.47 0.19 0.12 0.21 0.35 0.40 0.28 0.05 0.00 0.00 0.00 0.04 0.26 0.37 0.33 0.20 0.09 0.13 0.34 0.67 0.95 1.07 0.95 0.67 0.34 0.13 0.09 0.20 0.33 0.37 0.26 0.04 0.00 0.00 0.00 0.05 0.28 0.40 0.35 0.21 0.12 0.19 0.47 0.86 1.19 1.29 1.10 0.68 0.24 0.00 0.00 0.13 0.39 0.55 0.52 0.34 0.14 0.05 60.0 + 62.5 0.41 0.48 0.64 0.76 0.75 0.56 0.30 0.09 0.08 0.30 0.65 0.99 1.14 1.04 0.74 0.40 0.17 0.12 0.23 0.38 0.44 0.36 0.18 0.00 0.00 0.00 0.15 0.34 0.45 0.44 0.34 0.26 0.27 0.41 0.63 0.83 0.92 0.83 0.63 0.41 0.27 0.26 0.34 0.44 0.45 0.34 0.15 0.00 0.00 0.00 0.18 0.36 0.44 0.38 0.23 0.12 0.17 0.40 0.74 1.04 1.14 0.99 0.65 0.30 0.08 0.09 0.30 0.56 0.75 0.76 0.64 0.48 0.41 0.48 0.64 0.76 0.75 0.56 0.30 0.09 0.08 0.30 0.65 0.99 1.14 1.04 0.74 0.40 0.17 0.12 0.23 0.38 0.44 0.36 0.18 0.00 0.00 0.00 0.15 0.34 0.45 0.44 0.34 0.26 0.27 0.41 0.63 0.83 0.92 0.83 0.63 0.41 0.27 0.26 0.34 0.44 0.45 0.34 0.15 0.00 0.00 0.00 0.18 0.36 0.44 0.38 0.23 0.12 0.17 0.40 0.74 1.04 1.14 0.99 0.65 0.30 0.08 0.09 0.30 0.56 0.75 0.76 0.64 0.48 0.41 62.5 + 65.0 0.58 0.63 0.74 0.83 0.80 0.64 0.40 0.22 0.19 0.34 0.60 0.84 0.92 0.79 0.52 0.21 0.01 0.00 0.10 0.25 0.33 0.28 0.14 0.00 0.00 0.00 0.12 0.30 0.42 0.44 0.39 0.32 0.32 0.41 0.55 0.68 0.73 0.68 0.55 0.41 0.32 0.32 0.39 0.44 0.42 0.30 0.12 0.00 0.00 0.00 0.14 0.28 0.33 0.25 0.10 0.00 0.01 0.21 0.52 0.79 0.92 0.84 0.60 0.34 0.19 0.22 0.40 0.64 0.80 0.83 0.74 0.63 0.58 0.63 0.74 0.83 0.80 0.64 0.40 0.22 0.19 0.34 0.60 0.84 0.92 0.79 0.52 0.21 0.01 0.00 0.10 0.25 0.33 0.28 0.14 0.00 0.00 0.00 0.12 0.30 0.42 0.44 0.39 0.32 0.32 0.41 0.55 0.68 0.73 0.68 0.55 0.41 0.32 0.32 0.39 0.44 0.42 0.30 0.12 0.00 0.00 0.00 0.14 0.28 0.33 0.25 0.10 0.00 0.01 0.21 0.52 0.79 0.92 0.84 0.60 0.34 0.19 0.22 0.40 0.64 0.80 0.83 0.74 0.63 0.58 65.0 + 67.5 0.56 0.59 0.68 0.75 0.73 0.61 0.43 0.29 0.26 0.36 0.54 0.68 0.70 0.55 0.28 0.01 0.00 0.00 0.00 0.09 0.19 0.17 0.06 0.00 0.00 0.00 0.04 0.20 0.33 0.38 0.35 0.31 0.30 0.35 0.45 0.55 0.58 0.55 0.45 0.35 0.30 0.31 0.35 0.38 0.33 0.20 0.04 0.00 0.00 0.00 0.06 0.17 0.19 0.09 0.00 0.00 0.00 0.01 0.28 0.55 0.70 0.68 0.54 0.36 0.26 0.29 0.43 0.61 0.73 0.75 0.68 0.59 0.56 0.59 0.68 0.75 0.73 0.61 0.43 0.29 0.26 0.36 0.54 0.68 0.70 0.55 0.28 0.01 0.00 0.00 0.00 0.09 0.19 0.17 0.06 0.00 0.00 0.00 0.04 0.20 0.33 0.38 0.35 0.31 0.30 0.35 0.45 0.55 0.58 0.55 0.45 0.35 0.30 0.31 0.35 0.38 0.33 0.20 0.04 0.00 0.00 0.00 0.06 0.17 0.19 0.09 0.00 0.00 0.00 0.01 0.28 0.55 0.70 0.68 0.54 0.36 0.26 0.29 0.43 0.61 0.73 0.75 0.68 0.59 0.56 67.5 + 70.0 0.50 0.53 0.60 0.65 0.65 0.57 0.45 0.35 0.32 0.38 0.50 0.59 0.58 0.44 0.20 0.00 0.00 0.00 0.00 0.16 0.29 0.30 0.20 0.06 0.00 0.00 0.10 0.25 0.37 0.41 0.38 0.34 0.33 0.39 0.49 0.59 0.63 0.59 0.49 0.39 0.33 0.34 0.38 0.41 0.37 0.25 0.10 0.00 0.00 0.06 0.20 0.30 0.29 0.16 0.00 0.00 0.00 0.00 0.20 0.44 0.58 0.59 0.50 0.38 0.32 0.35 0.45 0.57 0.65 0.65 0.60 0.53 0.50 0.53 0.60 0.65 0.65 0.57 0.45 0.35 0.32 0.38 0.50 0.59 0.58 0.44 0.20 0.00 0.00 0.00 0.00 0.16 0.29 0.30 0.20 0.06 0.00 0.00 0.10 0.25 0.37 0.41 0.38 0.34 0.33 0.39 0.49 0.59 0.63 0.59 0.49 0.39 0.33 0.34 0.38 0.41 0.37 0.25 0.10 0.00 0.00 0.06 0.20 0.30 0.29 0.16 0.00 0.00 0.00 0.00 0.20 0.44 0.58 0.59 0.50 0.38 0.32 0.35 0.45 0.57 0.65 0.65 0.60 0.53 0.50 70.0 + 72.5 0.57 0.60 0.65 0.70 0.70 0.64 0.54 0.45 0.41 0.45 0.55 0.64 0.65 0.55 0.37 0.19 0.11 0.18 0.40 0.65 0.84 0.89 0.79 0.62 0.48 0.45 0.51 0.62 0.70 0.70 0.64 0.58 0.58 0.67 0.81 0.95 1.00 0.95 0.81 0.67 0.58 0.58 0.64 0.70 0.70 0.62 0.51 0.45 0.48 0.62 0.79 0.89 0.84 0.65 0.40 0.18 0.11 0.19 0.37 0.55 0.65 0.64 0.55 0.45 0.41 0.45 0.54 0.64 0.70 0.70 0.65 0.60 0.57 0.60 0.65 0.70 0.70 0.64 0.54 0.45 0.41 0.45 0.55 0.64 0.65 0.55 0.37 0.19 0.11 0.18 0.40 0.65 0.84 0.89 0.79 0.62 0.48 0.45 0.51 0.62 0.70 0.70 0.64 0.58 0.58 0.67 0.81 0.95 1.00 0.95 0.81 0.67 0.58 0.58 0.64 0.70 0.70 0.62 0.51 0.45 0.48 0.62 0.79 0.89 0.84 0.65 0.40 0.18 0.11 0.19 0.37 0.55 0.65 0.64 0.55 0.45 0.41 0.45 0.54 0.64 0.70 0.70 0.65 0.60 0.57 72.5 + 75.0 0.83 0.85 0.89 0.93 0.93 0.86 0.75 0.63 0.56 0.58 0.69 0.82 0.90 0.87 0.76 0.64 0.63 0.80 1.13 1.52 1.82 1.92 1.82 1.60 1.38 1.27 1.26 1.31 1.33 1.27 1.15 1.05 1.06 1.19 1.41 1.61 1.69 1.61 1.41 1.19 1.06 1.05 1.15 1.27 1.33 1.31 1.26 1.27 1.38 1.60 1.82 1.92 1.82 1.52 1.13 0.80 0.63 0.64 0.76 0.87 0.90 0.82 0.69 0.58 0.56 0.63 0.75 0.86 0.93 0.93 0.89 0.85 0.83 0.85 0.89 0.93 0.93 0.86 0.75 0.63 0.56 0.58 0.69 0.82 0.90 0.87 0.76 0.64 0.63 0.80 1.13 1.52 1.82 1.92 1.82 1.60 1.38 1.27 1.26 1.31 1.33 1.27 1.15 1.05 1.06 1.19 1.41 1.61 1.69 1.61 1.41 1.19 1.06 1.05 1.15 1.27 1.33 1.31 1.26 1.27 1.38 1.60 1.82 1.92 1.82 1.52 1.13 0.80 0.63 0.64 0.76 0.87 0.90 0.82 0.69 0.58 0.56 0.63 0.75 0.86 0.93 0.93 0.89 0.85 0.83 75.0 + 77.5 1.14 1.16 1.21 1.26 1.25 1.17 1.01 0.84 0.73 0.74 0.87 1.06 1.22 1.27 1.20 1.13 1.18 1.45 1.92 2.48 2.92 3.11 3.02 2.73 2.41 2.19 2.10 2.07 2.02 1.89 1.71 1.57 1.57 1.76 2.05 2.33 2.44 2.33 2.05 1.76 1.57 1.57 1.71 1.89 2.02 2.07 2.10 2.19 2.41 2.73 3.02 3.11 2.92 2.48 1.92 1.45 1.18 1.13 1.20 1.27 1.22 1.06 0.87 0.74 0.73 0.84 1.01 1.17 1.25 1.26 1.21 1.16 1.14 1.16 1.21 1.26 1.25 1.17 1.01 0.84 0.73 0.74 0.87 1.06 1.22 1.27 1.20 1.13 1.18 1.45 1.92 2.48 2.92 3.11 3.02 2.73 2.41 2.19 2.10 2.07 2.02 1.89 1.71 1.57 1.57 1.76 2.05 2.33 2.44 2.33 2.05 1.76 1.57 1.57 1.71 1.89 2.02 2.07 2.10 2.19 2.41 2.73 3.02 3.11 2.92 2.48 1.92 1.45 1.18 1.13 1.20 1.27 1.22 1.06 0.87 0.74 0.73 0.84 1.01 1.17 1.25 1.26 1.21 1.16 1.14 77.5 + 80.0 1.31 1.34 1.42 1.50 1.51 1.42 1.23 1.00 0.84 0.83 0.99 1.24 1.46 1.54 1.49 1.40 1.47 1.81 2.42 3.15 3.76 4.05 3.97 3.62 3.19 2.85 2.66 2.56 2.45 2.25 2.00 1.81 1.80 2.03 2.39 2.73 2.86 2.73 2.39 2.03 1.80 1.81 2.00 2.25 2.45 2.56 2.66 2.85 3.19 3.62 3.97 4.05 3.76 3.15 2.42 1.81 1.47 1.40 1.49 1.54 1.46 1.24 0.99 0.83 0.84 1.00 1.23 1.42 1.51 1.50 1.42 1.34 1.31 1.34 1.42 1.50 1.51 1.42 1.23 1.00 0.84 0.83 0.99 1.24 1.46 1.54 1.49 1.40 1.47 1.81 2.42 3.15 3.76 4.05 3.97 3.62 3.19 2.85 2.66 2.56 2.45 2.25 2.00 1.81 1.80 2.03 2.39 2.73 2.86 2.73 2.39 2.03 1.80 1.81 2.00 2.25 2.45 2.56 2.66 2.85 3.19 3.62 3.97 4.05 3.76 3.15 2.42 1.81 1.47 1.40 1.49 1.54 1.46 1.24 0.99 0.83 0.84 1.00 1.23 1.42 1.51 1.50 1.42 1.34 1.31 80.0 + 82.5 1.20 1.25 1.38 1.52 1.58 1.51 1.31 1.04 0.85 0.82 0.99 1.28 1.52 1.59 1.48 1.33 1.35 1.71 2.42 3.31 4.07 4.46 4.39 3.97 3.43 2.98 2.71 2.55 2.39 2.13 1.82 1.58 1.56 1.80 2.21 2.59 2.74 2.59 2.21 1.80 1.56 1.58 1.82 2.13 2.39 2.55 2.71 2.98 3.43 3.97 4.39 4.46 4.07 3.31 2.42 1.71 1.35 1.33 1.48 1.59 1.52 1.28 0.99 0.82 0.85 1.04 1.31 1.51 1.58 1.52 1.38 1.25 1.20 1.25 1.38 1.52 1.58 1.51 1.31 1.04 0.85 0.82 0.99 1.28 1.52 1.59 1.48 1.33 1.35 1.71 2.42 3.31 4.07 4.46 4.39 3.97 3.43 2.98 2.71 2.55 2.39 2.13 1.82 1.58 1.56 1.80 2.21 2.59 2.74 2.59 2.21 1.80 1.56 1.58 1.82 2.13 2.39 2.55 2.71 2.98 3.43 3.97 4.39 4.46 4.07 3.31 2.42 1.71 1.35 1.33 1.48 1.59 1.52 1.28 0.99 0.82 0.85 1.04 1.31 1.51 1.58 1.52 1.38 1.25 1.20 82.5 + 85.0 0.86 0.93 1.12 1.34 1.47 1.45 1.25 0.97 0.74 0.71 0.89 1.18 1.41 1.43 1.23 0.97 0.90 1.25 2.02 3.01 3.88 4.35 4.29 3.82 3.19 2.66 2.31 2.11 1.91 1.61 1.25 0.97 0.92 1.16 1.59 2.00 2.16 2.00 1.59 1.16 0.92 0.97 1.25 1.61 1.91 2.11 2.31 2.66 3.19 3.82 4.29 4.35 3.88 3.01 2.02 1.25 0.90 0.97 1.23 1.43 1.41 1.18 0.89 0.71 0.74 0.97 1.25 1.45 1.47 1.34 1.12 0.93 0.86 0.93 1.12 1.34 1.47 1.45 1.25 0.97 0.74 0.71 0.89 1.18 1.41 1.43 1.23 0.97 0.90 1.25 2.02 3.01 3.88 4.35 4.29 3.82 3.19 2.66 2.31 2.11 1.91 1.61 1.25 0.97 0.92 1.16 1.59 2.00 2.16 2.00 1.59 1.16 0.92 0.97 1.25 1.61 1.91 2.11 2.31 2.66 3.19 3.82 4.29 4.35 3.88 3.01 2.02 1.25 0.90 0.97 1.23 1.43 1.41 1.18 0.89 0.71 0.74 0.97 1.25 1.45 1.47 1.34 1.12 0.93 0.86 85.0 + 87.5 0.49 0.59 0.82 1.11 1.30 1.32 1.14 0.85 0.62 0.58 0.76 1.05 1.26 1.22 0.93 0.57 0.43 0.74 1.53 2.58 3.52 4.03 3.98 3.48 2.79 2.20 1.81 1.58 1.35 1.03 0.64 0.33 0.26 0.50 0.93 1.34 1.51 1.34 0.93 0.50 0.26 0.33 0.64 1.03 1.35 1.58 1.81 2.20 2.79 3.48 3.98 4.03 3.52 2.58 1.53 0.74 0.43 0.57 0.93 1.22 1.26 1.05 0.76 0.58 0.62 0.85 1.14 1.32 1.30 1.11 0.82 0.59 0.49 0.59 0.82 1.11 1.30 1.32 1.14 0.85 0.62 0.58 0.76 1.05 1.26 1.22 0.93 0.57 0.43 0.74 1.53 2.58 3.52 4.03 3.98 3.48 2.79 2.20 1.81 1.58 1.35 1.03 0.64 0.33 0.26 0.50 0.93 1.34 1.51 1.34 0.93 0.50 0.26 0.33 0.64 1.03 1.35 1.58 1.81 2.20 2.79 3.48 3.98 4.03 3.52 2.58 1.53 0.74 0.43 0.57 0.93 1.22 1.26 1.05 0.76 0.58 0.62 0.85 1.14 1.32 1.30 1.11 0.82 0.59 0.49 87.5 + 90.0 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 90.0 + + 47.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.22 ) PHI2 = 48. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.0 + 2.5 0.00 0.00 0.09 0.28 0.37 0.38 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.01 2.19 2.27 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.85 2.07 2.22 2.27 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.37 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.37 0.38 0.37 0.40 0.49 0.64 0.84 1.05 1.27 1.51 1.76 2.01 2.19 2.27 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.45 0.40 0.39 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.35 0.39 0.40 0.45 0.56 0.73 0.93 1.15 1.38 1.61 1.85 2.07 2.22 2.27 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.37 0.28 0.10 0.00 0.00 0.00 0.00 2.5 + 5.0 0.00 0.12 0.31 0.43 0.47 0.43 0.36 0.34 0.38 0.50 0.68 0.89 1.13 1.40 1.69 1.99 2.23 2.37 2.38 2.25 2.04 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.49 0.48 0.44 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.49 0.50 0.55 0.65 0.81 1.02 1.25 1.51 1.77 2.02 2.23 2.35 2.34 2.20 1.97 1.68 1.39 1.12 0.88 0.67 0.50 0.39 0.35 0.38 0.45 0.49 0.44 0.31 0.12 0.00 0.00 0.00 0.12 0.31 0.43 0.47 0.43 0.36 0.34 0.38 0.50 0.68 0.89 1.13 1.40 1.69 1.99 2.23 2.37 2.38 2.25 2.04 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.49 0.48 0.44 0.35 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.45 0.49 0.50 0.55 0.65 0.81 1.02 1.25 1.51 1.77 2.02 2.23 2.35 2.34 2.20 1.97 1.68 1.39 1.12 0.88 0.67 0.50 0.39 0.35 0.38 0.45 0.49 0.44 0.31 0.12 0.00 0.00 0.00 5.0 + 7.5 0.37 0.49 0.61 0.68 0.66 0.56 0.44 0.35 0.34 0.41 0.55 0.75 0.99 1.28 1.61 1.96 2.27 2.49 2.56 2.49 2.30 2.04 1.76 1.49 1.26 1.06 0.91 0.82 0.78 0.77 0.74 0.67 0.53 0.36 0.21 0.15 0.20 0.34 0.52 0.66 0.75 0.78 0.78 0.81 0.89 1.03 1.22 1.46 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.99 0.75 0.55 0.42 0.36 0.38 0.48 0.60 0.69 0.70 0.62 0.48 0.37 0.32 0.37 0.49 0.61 0.68 0.66 0.56 0.44 0.35 0.34 0.41 0.55 0.75 0.99 1.28 1.61 1.96 2.27 2.49 2.56 2.49 2.30 2.04 1.76 1.49 1.26 1.06 0.91 0.82 0.78 0.77 0.74 0.67 0.53 0.36 0.21 0.15 0.20 0.34 0.52 0.66 0.75 0.78 0.78 0.81 0.89 1.03 1.22 1.46 1.72 2.00 2.25 2.44 2.50 2.43 2.22 1.92 1.59 1.27 0.99 0.75 0.55 0.42 0.36 0.38 0.48 0.60 0.69 0.70 0.62 0.48 0.37 0.32 0.37 7.5 + 10.0 0.80 0.88 0.96 0.97 0.91 0.79 0.64 0.51 0.45 0.47 0.57 0.72 0.94 1.21 1.55 1.92 2.27 2.56 2.71 2.71 2.57 2.34 2.07 1.82 1.61 1.45 1.34 1.28 1.27 1.28 1.28 1.24 1.15 1.01 0.89 0.84 0.87 0.97 1.10 1.21 1.27 1.28 1.25 1.24 1.28 1.37 1.52 1.74 2.00 2.26 2.49 2.62 2.62 2.47 2.21 1.87 1.53 1.21 0.95 0.73 0.57 0.49 0.48 0.56 0.70 0.85 0.96 0.99 0.95 0.86 0.79 0.76 0.80 0.88 0.96 0.97 0.91 0.79 0.64 0.51 0.45 0.47 0.57 0.72 0.94 1.21 1.55 1.92 2.27 2.56 2.71 2.71 2.57 2.34 2.07 1.82 1.61 1.45 1.34 1.28 1.27 1.28 1.28 1.24 1.15 1.01 0.89 0.84 0.87 0.97 1.10 1.21 1.27 1.28 1.25 1.24 1.28 1.37 1.52 1.74 2.00 2.26 2.49 2.62 2.62 2.47 2.21 1.87 1.53 1.21 0.95 0.73 0.57 0.49 0.48 0.56 0.70 0.85 0.96 0.99 0.95 0.86 0.79 0.76 0.80 10.0 + 12.5 1.15 1.20 1.24 1.24 1.17 1.05 0.91 0.78 0.70 0.67 0.72 0.81 0.97 1.19 1.48 1.83 2.20 2.52 2.75 2.83 2.76 2.59 2.38 2.17 2.00 1.89 1.83 1.82 1.85 1.89 1.92 1.92 1.87 1.77 1.68 1.63 1.64 1.70 1.79 1.86 1.88 1.85 1.78 1.73 1.70 1.74 1.85 2.03 2.25 2.48 2.66 2.72 2.64 2.43 2.13 1.79 1.48 1.21 1.00 0.84 0.74 0.70 0.74 0.84 0.98 1.12 1.22 1.25 1.23 1.17 1.13 1.12 1.15 1.20 1.24 1.24 1.17 1.05 0.91 0.78 0.70 0.67 0.72 0.81 0.97 1.19 1.48 1.83 2.20 2.52 2.75 2.83 2.76 2.59 2.38 2.17 2.00 1.89 1.83 1.82 1.85 1.89 1.92 1.92 1.87 1.77 1.68 1.63 1.64 1.70 1.79 1.86 1.88 1.85 1.78 1.73 1.70 1.74 1.85 2.03 2.25 2.48 2.66 2.72 2.64 2.43 2.13 1.79 1.48 1.21 1.00 0.84 0.74 0.70 0.74 0.84 0.98 1.12 1.22 1.25 1.23 1.17 1.13 1.12 1.15 12.5 + 15.0 1.36 1.38 1.39 1.37 1.32 1.24 1.14 1.04 0.95 0.90 0.90 0.93 1.01 1.15 1.37 1.66 2.00 2.35 2.63 2.79 2.82 2.73 2.57 2.41 2.28 2.20 2.18 2.20 2.26 2.34 2.42 2.45 2.44 2.39 2.32 2.27 2.26 2.29 2.34 2.36 2.34 2.26 2.16 2.06 1.99 1.99 2.07 2.22 2.41 2.59 2.70 2.69 2.54 2.27 1.96 1.65 1.39 1.20 1.07 0.98 0.94 0.94 1.00 1.10 1.22 1.31 1.37 1.37 1.35 1.33 1.32 1.34 1.36 1.38 1.39 1.37 1.32 1.24 1.14 1.04 0.95 0.90 0.90 0.93 1.01 1.15 1.37 1.66 2.00 2.35 2.63 2.79 2.82 2.73 2.57 2.41 2.28 2.20 2.18 2.20 2.26 2.34 2.42 2.45 2.44 2.39 2.32 2.27 2.26 2.29 2.34 2.36 2.34 2.26 2.16 2.06 1.99 1.99 2.07 2.22 2.41 2.59 2.70 2.69 2.54 2.27 1.96 1.65 1.39 1.20 1.07 0.98 0.94 0.94 1.00 1.10 1.22 1.31 1.37 1.37 1.35 1.33 1.32 1.34 1.36 15.0 + 17.5 1.39 1.38 1.35 1.31 1.28 1.24 1.19 1.13 1.06 1.00 0.97 0.96 0.97 1.04 1.17 1.39 1.69 2.04 2.36 2.59 2.70 2.68 2.59 2.46 2.35 2.27 2.25 2.29 2.37 2.48 2.59 2.67 2.70 2.69 2.64 2.60 2.58 2.58 2.58 2.55 2.48 2.37 2.23 2.11 2.03 2.02 2.10 2.24 2.41 2.56 2.61 2.52 2.31 2.02 1.70 1.43 1.24 1.12 1.06 1.03 1.03 1.06 1.12 1.20 1.27 1.30 1.31 1.29 1.29 1.31 1.34 1.37 1.39 1.38 1.35 1.31 1.28 1.24 1.19 1.13 1.06 1.00 0.97 0.96 0.97 1.04 1.17 1.39 1.69 2.04 2.36 2.59 2.70 2.68 2.59 2.46 2.35 2.27 2.25 2.29 2.37 2.48 2.59 2.67 2.70 2.69 2.64 2.60 2.58 2.58 2.58 2.55 2.48 2.37 2.23 2.11 2.03 2.02 2.10 2.24 2.41 2.56 2.61 2.52 2.31 2.02 1.70 1.43 1.24 1.12 1.06 1.03 1.03 1.06 1.12 1.20 1.27 1.30 1.31 1.29 1.29 1.31 1.34 1.37 1.39 17.5 + 20.0 1.24 1.19 1.11 1.05 1.02 1.01 1.00 0.98 0.94 0.89 0.85 0.81 0.80 0.81 0.89 1.05 1.31 1.63 1.97 2.25 2.42 2.48 2.43 2.32 2.21 2.12 2.09 2.11 2.20 2.33 2.48 2.61 2.70 2.73 2.71 2.68 2.64 2.61 2.56 2.48 2.35 2.20 2.04 1.91 1.85 1.86 1.96 2.11 2.28 2.39 2.39 2.26 2.01 1.69 1.39 1.15 1.01 0.93 0.90 0.90 0.92 0.95 1.00 1.05 1.07 1.06 1.02 1.01 1.03 1.10 1.19 1.24 1.24 1.19 1.11 1.05 1.02 1.01 1.00 0.98 0.94 0.89 0.85 0.81 0.80 0.81 0.89 1.05 1.31 1.63 1.97 2.25 2.42 2.48 2.43 2.32 2.21 2.12 2.09 2.11 2.20 2.33 2.48 2.61 2.70 2.73 2.71 2.68 2.64 2.61 2.56 2.48 2.35 2.20 2.04 1.91 1.85 1.86 1.96 2.11 2.28 2.39 2.39 2.26 2.01 1.69 1.39 1.15 1.01 0.93 0.90 0.90 0.92 0.95 1.00 1.05 1.07 1.06 1.02 1.01 1.03 1.10 1.19 1.24 1.24 20.0 + 22.5 0.97 0.87 0.74 0.64 0.59 0.60 0.63 0.64 0.62 0.59 0.55 0.52 0.51 0.52 0.57 0.69 0.90 1.20 1.53 1.83 2.05 2.16 2.16 2.09 1.99 1.90 1.86 1.89 1.99 2.15 2.34 2.53 2.67 2.75 2.77 2.74 2.69 2.62 2.51 2.36 2.17 1.97 1.79 1.66 1.61 1.65 1.76 1.91 2.05 2.13 2.09 1.93 1.66 1.35 1.07 0.86 0.73 0.67 0.64 0.63 0.64 0.66 0.69 0.71 0.69 0.64 0.59 0.58 0.64 0.77 0.90 0.98 0.97 0.87 0.74 0.64 0.59 0.60 0.63 0.64 0.62 0.59 0.55 0.52 0.51 0.52 0.57 0.69 0.90 1.20 1.53 1.83 2.05 2.16 2.16 2.09 1.99 1.90 1.86 1.89 1.99 2.15 2.34 2.53 2.67 2.75 2.77 2.74 2.69 2.62 2.51 2.36 2.17 1.97 1.79 1.66 1.61 1.65 1.76 1.91 2.05 2.13 2.09 1.93 1.66 1.35 1.07 0.86 0.73 0.67 0.64 0.63 0.64 0.66 0.69 0.71 0.69 0.64 0.59 0.58 0.64 0.77 0.90 0.98 0.97 22.5 + 25.0 0.62 0.48 0.31 0.18 0.14 0.16 0.21 0.25 0.25 0.22 0.20 0.19 0.19 0.22 0.27 0.36 0.54 0.79 1.09 1.39 1.65 1.81 1.87 1.87 1.82 1.78 1.78 1.85 1.99 2.19 2.43 2.66 2.85 2.97 3.02 3.01 2.93 2.81 2.63 2.41 2.17 1.93 1.72 1.57 1.51 1.52 1.60 1.70 1.79 1.82 1.74 1.56 1.30 1.02 0.77 0.59 0.47 0.39 0.34 0.31 0.29 0.30 0.32 0.31 0.26 0.19 0.12 0.12 0.22 0.39 0.56 0.65 0.62 0.48 0.31 0.18 0.14 0.16 0.21 0.25 0.25 0.22 0.20 0.19 0.19 0.22 0.27 0.36 0.54 0.79 1.09 1.39 1.65 1.81 1.87 1.87 1.82 1.78 1.78 1.85 1.99 2.19 2.43 2.66 2.85 2.97 3.02 3.01 2.93 2.81 2.63 2.41 2.17 1.93 1.72 1.57 1.51 1.52 1.60 1.70 1.79 1.82 1.74 1.56 1.30 1.02 0.77 0.59 0.47 0.39 0.34 0.31 0.29 0.30 0.32 0.31 0.26 0.19 0.12 0.12 0.22 0.39 0.56 0.65 0.62 25.0 + 27.5 0.27 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.23 0.43 0.68 0.97 1.24 1.46 1.62 1.71 1.77 1.83 1.92 2.07 2.27 2.52 2.79 3.05 3.27 3.42 3.48 3.47 3.37 3.20 2.97 2.69 2.40 2.13 1.90 1.72 1.60 1.55 1.54 1.54 1.54 1.49 1.37 1.18 0.95 0.71 0.51 0.36 0.26 0.17 0.09 0.04 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.32 0.27 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.23 0.43 0.68 0.97 1.24 1.46 1.62 1.71 1.77 1.83 1.92 2.07 2.27 2.52 2.79 3.05 3.27 3.42 3.48 3.47 3.37 3.20 2.97 2.69 2.40 2.13 1.90 1.72 1.60 1.55 1.54 1.54 1.54 1.49 1.37 1.18 0.95 0.71 0.51 0.36 0.26 0.17 0.09 0.04 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.32 0.27 27.5 + 30.0 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.15 0.35 0.61 0.89 1.16 1.39 1.59 1.78 1.97 2.17 2.41 2.67 2.95 3.22 3.48 3.69 3.84 3.91 3.88 3.76 3.56 3.30 3.01 2.71 2.43 2.19 1.98 1.80 1.65 1.52 1.41 1.30 1.17 1.01 0.82 0.62 0.44 0.30 0.19 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.15 0.35 0.61 0.89 1.16 1.39 1.59 1.78 1.97 2.17 2.41 2.67 2.95 3.22 3.48 3.69 3.84 3.91 3.88 3.76 3.56 3.30 3.01 2.71 2.43 2.19 1.98 1.80 1.65 1.52 1.41 1.30 1.17 1.01 0.82 0.62 0.44 0.30 0.19 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.02 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.36 0.63 0.92 1.20 1.47 1.74 2.03 2.32 2.62 2.90 3.17 3.40 3.61 3.78 3.90 3.96 3.92 3.79 3.59 3.33 3.06 2.81 2.58 2.36 2.15 1.92 1.69 1.47 1.26 1.07 0.90 0.72 0.54 0.38 0.24 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.36 0.63 0.92 1.20 1.47 1.74 2.03 2.32 2.62 2.90 3.17 3.40 3.61 3.78 3.90 3.96 3.92 3.79 3.59 3.33 3.06 2.81 2.58 2.36 2.15 1.92 1.69 1.47 1.26 1.07 0.90 0.72 0.54 0.38 0.24 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.06 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.52 0.78 1.04 1.30 1.58 1.89 2.20 2.50 2.75 2.95 3.10 3.23 3.34 3.42 3.46 3.42 3.30 3.11 2.90 2.69 2.52 2.37 2.23 2.06 1.84 1.59 1.33 1.10 0.90 0.74 0.58 0.43 0.28 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.04 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.52 0.78 1.04 1.30 1.58 1.89 2.20 2.50 2.75 2.95 3.10 3.23 3.34 3.42 3.46 3.42 3.30 3.11 2.90 2.69 2.52 2.37 2.23 2.06 1.84 1.59 1.33 1.10 0.90 0.74 0.58 0.43 0.28 0.15 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.06 35.0 + 37.5 0.34 0.24 0.15 0.11 0.15 0.22 0.29 0.30 0.24 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.36 0.57 0.76 0.93 1.11 1.31 1.55 1.81 2.04 2.22 2.31 2.36 2.39 2.44 2.50 2.54 2.52 2.42 2.26 2.09 1.95 1.87 1.84 1.81 1.72 1.56 1.35 1.13 0.95 0.82 0.73 0.64 0.52 0.36 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.13 0.17 0.16 0.13 0.10 0.10 0.17 0.27 0.35 0.38 0.34 0.24 0.15 0.11 0.15 0.22 0.29 0.30 0.24 0.13 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.36 0.57 0.76 0.93 1.11 1.31 1.55 1.81 2.04 2.22 2.31 2.36 2.39 2.44 2.50 2.54 2.52 2.42 2.26 2.09 1.95 1.87 1.84 1.81 1.72 1.56 1.35 1.13 0.95 0.82 0.73 0.64 0.52 0.36 0.20 0.06 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.13 0.17 0.16 0.13 0.10 0.10 0.17 0.27 0.35 0.38 0.34 37.5 + 40.0 0.64 0.57 0.49 0.46 0.46 0.49 0.50 0.48 0.42 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.12 0.35 0.57 0.74 0.84 0.88 0.91 0.99 1.13 1.29 1.44 1.51 1.50 1.44 1.40 1.42 1.49 1.56 1.58 1.51 1.37 1.21 1.12 1.11 1.18 1.26 1.27 1.20 1.06 0.92 0.83 0.81 0.83 0.83 0.75 0.58 0.36 0.15 0.01 0.00 0.00 0.05 0.13 0.20 0.25 0.29 0.32 0.34 0.37 0.41 0.47 0.55 0.63 0.69 0.69 0.64 0.57 0.49 0.46 0.46 0.49 0.50 0.48 0.42 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.12 0.35 0.57 0.74 0.84 0.88 0.91 0.99 1.13 1.29 1.44 1.51 1.50 1.44 1.40 1.42 1.49 1.56 1.58 1.51 1.37 1.21 1.12 1.11 1.18 1.26 1.27 1.20 1.06 0.92 0.83 0.81 0.83 0.83 0.75 0.58 0.36 0.15 0.01 0.00 0.00 0.05 0.13 0.20 0.25 0.29 0.32 0.34 0.37 0.41 0.47 0.55 0.63 0.69 0.69 0.64 40.0 + 42.5 0.81 0.76 0.73 0.70 0.68 0.65 0.62 0.58 0.55 0.51 0.47 0.39 0.27 0.13 0.01 0.00 0.06 0.27 0.54 0.78 0.91 0.91 0.82 0.71 0.67 0.72 0.82 0.90 0.89 0.80 0.67 0.60 0.63 0.75 0.89 0.97 0.92 0.77 0.58 0.47 0.49 0.62 0.78 0.88 0.88 0.80 0.72 0.72 0.81 0.94 1.03 0.99 0.81 0.52 0.24 0.05 0.00 0.08 0.23 0.36 0.44 0.46 0.45 0.44 0.46 0.53 0.64 0.74 0.83 0.88 0.89 0.86 0.81 0.76 0.73 0.70 0.68 0.65 0.62 0.58 0.55 0.51 0.47 0.39 0.27 0.13 0.01 0.00 0.06 0.27 0.54 0.78 0.91 0.91 0.82 0.71 0.67 0.72 0.82 0.90 0.89 0.80 0.67 0.60 0.63 0.75 0.89 0.97 0.92 0.77 0.58 0.47 0.49 0.62 0.78 0.88 0.88 0.80 0.72 0.72 0.81 0.94 1.03 0.99 0.81 0.52 0.24 0.05 0.00 0.08 0.23 0.36 0.44 0.46 0.45 0.44 0.46 0.53 0.64 0.74 0.83 0.88 0.89 0.86 0.81 42.5 + 45.0 0.72 0.72 0.75 0.76 0.73 0.67 0.60 0.56 0.58 0.64 0.69 0.66 0.53 0.33 0.12 0.02 0.09 0.31 0.61 0.86 0.95 0.86 0.67 0.47 0.37 0.39 0.48 0.55 0.51 0.37 0.21 0.14 0.23 0.44 0.68 0.82 0.78 0.58 0.32 0.14 0.13 0.27 0.47 0.62 0.65 0.59 0.53 0.55 0.70 0.91 1.08 1.09 0.90 0.58 0.26 0.05 0.04 0.20 0.44 0.64 0.72 0.68 0.58 0.49 0.49 0.57 0.71 0.84 0.91 0.90 0.83 0.76 0.72 0.72 0.75 0.76 0.73 0.67 0.60 0.56 0.58 0.64 0.69 0.66 0.53 0.33 0.12 0.02 0.09 0.31 0.61 0.86 0.95 0.86 0.67 0.47 0.37 0.39 0.48 0.55 0.51 0.37 0.21 0.14 0.23 0.44 0.68 0.82 0.78 0.58 0.32 0.14 0.13 0.27 0.47 0.62 0.65 0.59 0.53 0.55 0.70 0.91 1.08 1.09 0.90 0.58 0.26 0.05 0.04 0.20 0.44 0.64 0.72 0.68 0.58 0.49 0.49 0.57 0.71 0.84 0.91 0.90 0.83 0.76 0.72 45.0 + 47.5 0.38 0.44 0.55 0.62 0.62 0.54 0.45 0.43 0.52 0.69 0.85 0.90 0.78 0.52 0.22 0.03 0.04 0.23 0.52 0.74 0.79 0.64 0.39 0.16 0.07 0.13 0.27 0.36 0.34 0.19 0.04 0.00 0.15 0.46 0.79 0.99 0.95 0.68 0.33 0.05 0.00 0.09 0.30 0.46 0.49 0.41 0.30 0.29 0.44 0.68 0.90 0.96 0.80 0.49 0.16 0.00 0.05 0.31 0.65 0.91 0.98 0.87 0.65 0.47 0.40 0.48 0.62 0.74 0.76 0.67 0.52 0.41 0.38 0.44 0.55 0.62 0.62 0.54 0.45 0.43 0.52 0.69 0.85 0.90 0.78 0.52 0.22 0.03 0.04 0.23 0.52 0.74 0.79 0.64 0.39 0.16 0.07 0.13 0.27 0.36 0.34 0.19 0.04 0.00 0.15 0.46 0.79 0.99 0.95 0.68 0.33 0.05 0.00 0.09 0.30 0.46 0.49 0.41 0.30 0.29 0.44 0.68 0.90 0.96 0.80 0.49 0.16 0.00 0.05 0.31 0.65 0.91 0.98 0.87 0.65 0.47 0.40 0.48 0.62 0.74 0.76 0.67 0.52 0.41 0.38 47.5 + 50.0 0.00 0.06 0.26 0.40 0.41 0.32 0.22 0.22 0.38 0.66 0.94 1.08 0.99 0.68 0.31 0.02 0.00 0.08 0.31 0.50 0.50 0.31 0.04 0.00 0.00 0.00 0.11 0.27 0.27 0.14 0.00 0.00 0.20 0.59 1.00 1.24 1.18 0.86 0.41 0.04 0.00 0.00 0.19 0.36 0.36 0.22 0.04 0.00 0.06 0.30 0.55 0.66 0.56 0.29 0.00 0.00 0.03 0.40 0.83 1.13 1.19 0.99 0.66 0.37 0.24 0.28 0.42 0.52 0.49 0.32 0.09 0.00 0.00 0.06 0.26 0.40 0.41 0.32 0.22 0.22 0.38 0.66 0.94 1.08 0.99 0.68 0.31 0.02 0.00 0.08 0.31 0.50 0.50 0.31 0.04 0.00 0.00 0.00 0.11 0.27 0.27 0.14 0.00 0.00 0.20 0.59 1.00 1.24 1.18 0.86 0.41 0.04 0.00 0.00 0.19 0.36 0.36 0.22 0.04 0.00 0.06 0.30 0.55 0.66 0.56 0.29 0.00 0.00 0.03 0.40 0.83 1.13 1.19 0.99 0.66 0.37 0.24 0.28 0.42 0.52 0.49 0.32 0.09 0.00 0.00 50.0 + 52.5 0.00 0.00 0.04 0.23 0.25 0.13 0.00 0.00 0.20 0.57 0.96 1.18 1.13 0.83 0.40 0.04 0.00 0.00 0.15 0.28 0.24 0.03 0.00 0.00 0.00 0.00 0.01 0.21 0.24 0.12 0.00 0.00 0.23 0.66 1.10 1.35 1.29 0.93 0.43 0.02 0.00 0.00 0.11 0.28 0.27 0.08 0.00 0.00 0.00 0.00 0.21 0.36 0.31 0.10 0.00 0.00 0.04 0.47 0.96 1.28 1.30 1.03 0.61 0.23 0.05 0.07 0.21 0.30 0.24 0.02 0.00 0.00 0.00 0.00 0.04 0.23 0.25 0.13 0.00 0.00 0.20 0.57 0.96 1.18 1.13 0.83 0.40 0.04 0.00 0.00 0.15 0.28 0.24 0.03 0.00 0.00 0.00 0.00 0.01 0.21 0.24 0.12 0.00 0.00 0.23 0.66 1.10 1.35 1.29 0.93 0.43 0.02 0.00 0.00 0.11 0.28 0.27 0.08 0.00 0.00 0.00 0.00 0.21 0.36 0.31 0.10 0.00 0.00 0.04 0.47 0.96 1.28 1.30 1.03 0.61 0.23 0.05 0.07 0.21 0.30 0.24 0.02 0.00 0.00 0.00 52.5 + 55.0 0.00 0.00 0.04 0.23 0.23 0.07 0.00 0.00 0.06 0.47 0.93 1.22 1.23 0.95 0.52 0.14 0.00 0.00 0.12 0.22 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.23 0.12 0.00 0.00 0.23 0.64 1.06 1.31 1.24 0.88 0.39 0.00 0.00 0.00 0.10 0.27 0.25 0.05 0.00 0.00 0.00 0.00 0.02 0.20 0.20 0.04 0.00 0.00 0.09 0.55 1.04 1.35 1.33 1.01 0.53 0.11 0.00 0.00 0.09 0.20 0.15 0.00 0.00 0.00 0.00 0.00 0.04 0.23 0.23 0.07 0.00 0.00 0.06 0.47 0.93 1.22 1.23 0.95 0.52 0.14 0.00 0.00 0.12 0.22 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.23 0.12 0.00 0.00 0.23 0.64 1.06 1.31 1.24 0.88 0.39 0.00 0.00 0.00 0.10 0.27 0.25 0.05 0.00 0.00 0.00 0.00 0.02 0.20 0.20 0.04 0.00 0.00 0.09 0.55 1.04 1.35 1.33 1.01 0.53 0.11 0.00 0.00 0.09 0.20 0.15 0.00 0.00 0.00 0.00 55.0 + 57.5 0.00 0.00 0.27 0.43 0.38 0.15 0.00 0.00 0.01 0.42 0.89 1.21 1.26 1.03 0.64 0.28 0.10 0.12 0.26 0.35 0.30 0.10 0.00 0.00 0.00 0.00 0.08 0.26 0.30 0.19 0.07 0.07 0.26 0.61 0.97 1.18 1.11 0.80 0.37 0.01 0.00 0.00 0.17 0.34 0.33 0.14 0.00 0.00 0.00 0.00 0.02 0.21 0.23 0.11 0.00 0.00 0.18 0.60 1.05 1.33 1.29 0.95 0.47 0.05 0.00 0.00 0.11 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.27 0.43 0.38 0.15 0.00 0.00 0.01 0.42 0.89 1.21 1.26 1.03 0.64 0.28 0.10 0.12 0.26 0.35 0.30 0.10 0.00 0.00 0.00 0.00 0.08 0.26 0.30 0.19 0.07 0.07 0.26 0.61 0.97 1.18 1.11 0.80 0.37 0.01 0.00 0.00 0.17 0.34 0.33 0.14 0.00 0.00 0.00 0.00 0.02 0.21 0.23 0.11 0.00 0.00 0.18 0.60 1.05 1.33 1.29 0.95 0.47 0.05 0.00 0.00 0.11 0.27 0.26 0.08 0.00 0.00 0.00 57.5 + 60.0 0.16 0.37 0.60 0.71 0.61 0.34 0.05 0.00 0.06 0.42 0.85 1.16 1.22 1.03 0.69 0.38 0.24 0.28 0.42 0.53 0.51 0.34 0.11 0.00 0.00 0.03 0.22 0.37 0.40 0.33 0.22 0.21 0.34 0.60 0.88 1.03 0.98 0.73 0.39 0.11 0.02 0.12 0.31 0.46 0.45 0.27 0.01 0.00 0.00 0.00 0.12 0.29 0.31 0.20 0.06 0.04 0.23 0.59 0.99 1.22 1.18 0.87 0.43 0.07 0.00 0.01 0.24 0.43 0.48 0.37 0.19 0.09 0.16 0.37 0.60 0.71 0.61 0.34 0.05 0.00 0.06 0.42 0.85 1.16 1.22 1.03 0.69 0.38 0.24 0.28 0.42 0.53 0.51 0.34 0.11 0.00 0.00 0.03 0.22 0.37 0.40 0.33 0.22 0.21 0.34 0.60 0.88 1.03 0.98 0.73 0.39 0.11 0.02 0.12 0.31 0.46 0.45 0.27 0.01 0.00 0.00 0.00 0.12 0.29 0.31 0.20 0.06 0.04 0.23 0.59 0.99 1.22 1.18 0.87 0.43 0.07 0.00 0.01 0.24 0.43 0.48 0.37 0.19 0.09 0.16 60.0 + 62.5 0.50 0.68 0.86 0.92 0.79 0.51 0.22 0.08 0.16 0.45 0.80 1.06 1.09 0.91 0.62 0.36 0.24 0.30 0.46 0.59 0.61 0.49 0.29 0.12 0.06 0.14 0.28 0.41 0.47 0.43 0.36 0.34 0.42 0.59 0.78 0.88 0.84 0.66 0.42 0.23 0.19 0.28 0.43 0.54 0.52 0.36 0.12 0.00 0.00 0.00 0.17 0.30 0.31 0.20 0.06 0.03 0.17 0.47 0.81 1.03 1.01 0.77 0.42 0.13 0.03 0.15 0.38 0.59 0.67 0.61 0.49 0.43 0.50 0.68 0.86 0.92 0.79 0.51 0.22 0.08 0.16 0.45 0.80 1.06 1.09 0.91 0.62 0.36 0.24 0.30 0.46 0.59 0.61 0.49 0.29 0.12 0.06 0.14 0.28 0.41 0.47 0.43 0.36 0.34 0.42 0.59 0.78 0.88 0.84 0.66 0.42 0.23 0.19 0.28 0.43 0.54 0.52 0.36 0.12 0.00 0.00 0.00 0.17 0.30 0.31 0.20 0.06 0.03 0.17 0.47 0.81 1.03 1.01 0.77 0.42 0.13 0.03 0.15 0.38 0.59 0.67 0.61 0.49 0.43 0.50 62.5 + 65.0 0.63 0.77 0.91 0.94 0.81 0.57 0.33 0.20 0.25 0.47 0.73 0.90 0.89 0.70 0.43 0.19 0.09 0.16 0.31 0.46 0.51 0.42 0.26 0.10 0.03 0.07 0.19 0.33 0.41 0.42 0.38 0.36 0.40 0.50 0.62 0.69 0.67 0.56 0.41 0.30 0.28 0.35 0.47 0.54 0.50 0.34 0.14 0.00 0.00 0.00 0.14 0.23 0.22 0.11 0.00 0.00 0.03 0.28 0.58 0.78 0.81 0.65 0.40 0.20 0.15 0.27 0.48 0.67 0.74 0.70 0.62 0.57 0.63 0.77 0.91 0.94 0.81 0.57 0.33 0.20 0.25 0.47 0.73 0.90 0.89 0.70 0.43 0.19 0.09 0.16 0.31 0.46 0.51 0.42 0.26 0.10 0.03 0.07 0.19 0.33 0.41 0.42 0.38 0.36 0.40 0.50 0.62 0.69 0.67 0.56 0.41 0.30 0.28 0.35 0.47 0.54 0.50 0.34 0.14 0.00 0.00 0.00 0.14 0.23 0.22 0.11 0.00 0.00 0.03 0.28 0.58 0.78 0.81 0.65 0.40 0.20 0.15 0.27 0.48 0.67 0.74 0.70 0.62 0.57 0.63 65.0 + 67.5 0.58 0.68 0.78 0.80 0.70 0.52 0.34 0.25 0.30 0.45 0.63 0.73 0.68 0.48 0.21 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.01 0.16 0.26 0.30 0.29 0.27 0.29 0.35 0.45 0.52 0.54 0.48 0.39 0.32 0.32 0.38 0.47 0.51 0.47 0.34 0.17 0.03 0.00 0.06 0.17 0.24 0.21 0.09 0.00 0.00 0.00 0.13 0.39 0.58 0.64 0.55 0.39 0.27 0.26 0.36 0.53 0.66 0.70 0.66 0.58 0.54 0.58 0.68 0.78 0.80 0.70 0.52 0.34 0.25 0.30 0.45 0.63 0.73 0.68 0.48 0.21 0.00 0.00 0.00 0.09 0.24 0.30 0.24 0.09 0.00 0.00 0.00 0.01 0.16 0.26 0.30 0.29 0.27 0.29 0.35 0.45 0.52 0.54 0.48 0.39 0.32 0.32 0.38 0.47 0.51 0.47 0.34 0.17 0.03 0.00 0.06 0.17 0.24 0.21 0.09 0.00 0.00 0.00 0.13 0.39 0.58 0.64 0.55 0.39 0.27 0.26 0.36 0.53 0.66 0.70 0.66 0.58 0.54 0.58 67.5 + 70.0 0.48 0.55 0.62 0.63 0.56 0.44 0.32 0.26 0.30 0.42 0.55 0.61 0.55 0.35 0.10 0.00 0.00 0.00 0.00 0.15 0.23 0.19 0.05 0.00 0.00 0.00 0.00 0.08 0.20 0.24 0.23 0.20 0.22 0.30 0.42 0.53 0.58 0.57 0.50 0.44 0.44 0.49 0.58 0.64 0.63 0.53 0.41 0.33 0.33 0.42 0.54 0.60 0.54 0.37 0.17 0.04 0.04 0.18 0.38 0.54 0.60 0.55 0.45 0.37 0.38 0.47 0.59 0.67 0.67 0.61 0.52 0.47 0.48 0.55 0.62 0.63 0.56 0.44 0.32 0.26 0.30 0.42 0.55 0.61 0.55 0.35 0.10 0.00 0.00 0.00 0.00 0.15 0.23 0.19 0.05 0.00 0.00 0.00 0.00 0.08 0.20 0.24 0.23 0.20 0.22 0.30 0.42 0.53 0.58 0.57 0.50 0.44 0.44 0.49 0.58 0.64 0.63 0.53 0.41 0.33 0.33 0.42 0.54 0.60 0.54 0.37 0.17 0.04 0.04 0.18 0.38 0.54 0.60 0.55 0.45 0.37 0.38 0.47 0.59 0.67 0.67 0.61 0.52 0.47 0.48 70.0 + 72.5 0.52 0.55 0.59 0.59 0.53 0.44 0.34 0.29 0.32 0.41 0.53 0.60 0.57 0.42 0.21 0.02 0.00 0.03 0.21 0.42 0.54 0.52 0.37 0.19 0.07 0.07 0.17 0.31 0.41 0.43 0.38 0.34 0.37 0.49 0.68 0.85 0.95 0.95 0.87 0.78 0.76 0.82 0.94 1.05 1.10 1.07 1.02 1.01 1.10 1.25 1.41 1.46 1.35 1.10 0.80 0.56 0.46 0.52 0.64 0.75 0.77 0.70 0.60 0.54 0.56 0.64 0.74 0.80 0.78 0.70 0.60 0.53 0.52 0.55 0.59 0.59 0.53 0.44 0.34 0.29 0.32 0.41 0.53 0.60 0.57 0.42 0.21 0.02 0.00 0.03 0.21 0.42 0.54 0.52 0.37 0.19 0.07 0.07 0.17 0.31 0.41 0.43 0.38 0.34 0.37 0.49 0.68 0.85 0.95 0.95 0.87 0.78 0.76 0.82 0.94 1.05 1.10 1.07 1.02 1.01 1.10 1.25 1.41 1.46 1.35 1.10 0.80 0.56 0.46 0.52 0.64 0.75 0.77 0.70 0.60 0.54 0.56 0.64 0.74 0.80 0.78 0.70 0.60 0.53 0.52 72.5 + 75.0 0.73 0.73 0.74 0.73 0.66 0.56 0.45 0.36 0.36 0.44 0.57 0.69 0.73 0.65 0.49 0.35 0.32 0.46 0.74 1.04 1.25 1.28 1.14 0.92 0.75 0.70 0.77 0.87 0.94 0.90 0.81 0.74 0.79 0.97 1.24 1.49 1.62 1.60 1.47 1.33 1.28 1.35 1.52 1.70 1.82 1.88 1.92 2.01 2.21 2.47 2.68 2.73 2.55 2.17 1.71 1.33 1.12 1.08 1.13 1.16 1.11 0.98 0.84 0.76 0.79 0.89 1.01 1.07 1.05 0.96 0.85 0.77 0.73 0.73 0.74 0.73 0.66 0.56 0.45 0.36 0.36 0.44 0.57 0.69 0.73 0.65 0.49 0.35 0.32 0.46 0.74 1.04 1.25 1.28 1.14 0.92 0.75 0.70 0.77 0.87 0.94 0.90 0.81 0.74 0.79 0.97 1.24 1.49 1.62 1.60 1.47 1.33 1.28 1.35 1.52 1.70 1.82 1.88 1.92 2.01 2.21 2.47 2.68 2.73 2.55 2.17 1.71 1.33 1.12 1.08 1.13 1.16 1.11 0.98 0.84 0.76 0.79 0.89 1.01 1.07 1.05 0.96 0.85 0.77 0.73 75.0 + 77.5 1.01 0.99 0.99 0.97 0.90 0.77 0.61 0.47 0.41 0.47 0.63 0.81 0.93 0.92 0.81 0.69 0.71 0.93 1.34 1.80 2.14 2.26 2.13 1.87 1.63 1.51 1.53 1.59 1.60 1.51 1.36 1.25 1.30 1.53 1.87 2.19 2.34 2.29 2.08 1.87 1.77 1.85 2.07 2.32 2.53 2.67 2.80 3.01 3.33 3.71 4.01 4.06 3.78 3.25 2.61 2.07 1.74 1.63 1.64 1.62 1.51 1.30 1.10 0.99 1.02 1.15 1.30 1.39 1.39 1.30 1.17 1.07 1.01 0.99 0.99 0.97 0.90 0.77 0.61 0.47 0.41 0.47 0.63 0.81 0.93 0.92 0.81 0.69 0.71 0.93 1.34 1.80 2.14 2.26 2.13 1.87 1.63 1.51 1.53 1.59 1.60 1.51 1.36 1.25 1.30 1.53 1.87 2.19 2.34 2.29 2.08 1.87 1.77 1.85 2.07 2.32 2.53 2.67 2.80 3.01 3.33 3.71 4.01 4.06 3.78 3.25 2.61 2.07 1.74 1.63 1.64 1.62 1.51 1.30 1.10 0.99 1.02 1.15 1.30 1.39 1.39 1.30 1.17 1.07 1.01 77.5 + 80.0 1.15 1.14 1.16 1.17 1.11 0.96 0.76 0.55 0.43 0.46 0.64 0.88 1.05 1.08 0.98 0.85 0.88 1.18 1.72 2.36 2.88 3.10 3.00 2.69 2.37 2.17 2.11 2.13 2.09 1.93 1.71 1.56 1.59 1.85 2.25 2.61 2.76 2.66 2.38 2.08 1.94 2.03 2.29 2.61 2.88 3.08 3.28 3.60 4.05 4.55 4.93 4.98 4.61 3.92 3.11 2.43 2.04 1.92 1.94 1.92 1.78 1.51 1.25 1.10 1.13 1.30 1.50 1.63 1.63 1.52 1.37 1.23 1.15 1.14 1.16 1.17 1.11 0.96 0.76 0.55 0.43 0.46 0.64 0.88 1.05 1.08 0.98 0.85 0.88 1.18 1.72 2.36 2.88 3.10 3.00 2.69 2.37 2.17 2.11 2.13 2.09 1.93 1.71 1.56 1.59 1.85 2.25 2.61 2.76 2.66 2.38 2.08 1.94 2.03 2.29 2.61 2.88 3.08 3.28 3.60 4.05 4.55 4.93 4.98 4.61 3.92 3.11 2.43 2.04 1.92 1.94 1.92 1.78 1.51 1.25 1.10 1.13 1.30 1.50 1.63 1.63 1.52 1.37 1.23 1.15 80.0 + 82.5 1.03 1.04 1.11 1.18 1.17 1.05 0.81 0.55 0.38 0.38 0.57 0.84 1.04 1.07 0.91 0.73 0.72 1.05 1.72 2.52 3.21 3.54 3.47 3.12 2.70 2.40 2.27 2.23 2.14 1.93 1.65 1.44 1.44 1.71 2.13 2.51 2.65 2.51 2.16 1.80 1.63 1.71 2.01 2.37 2.68 2.92 3.18 3.56 4.11 4.72 5.17 5.22 4.78 3.95 3.01 2.24 1.84 1.77 1.87 1.93 1.80 1.52 1.22 1.04 1.08 1.27 1.50 1.65 1.65 1.51 1.30 1.12 1.03 1.04 1.11 1.18 1.17 1.05 0.81 0.55 0.38 0.38 0.57 0.84 1.04 1.07 0.91 0.73 0.72 1.05 1.72 2.52 3.21 3.54 3.47 3.12 2.70 2.40 2.27 2.23 2.14 1.93 1.65 1.44 1.44 1.71 2.13 2.51 2.65 2.51 2.16 1.80 1.63 1.71 2.01 2.37 2.68 2.92 3.18 3.56 4.11 4.72 5.17 5.22 4.78 3.95 3.01 2.24 1.84 1.77 1.87 1.93 1.80 1.52 1.22 1.04 1.08 1.27 1.50 1.65 1.65 1.51 1.30 1.12 1.03 82.5 + 85.0 0.69 0.73 0.87 1.03 1.10 1.02 0.79 0.51 0.30 0.28 0.46 0.74 0.94 0.93 0.70 0.42 0.35 0.68 1.41 2.35 3.17 3.60 3.55 3.15 2.64 2.23 2.02 1.92 1.79 1.53 1.20 0.94 0.90 1.15 1.58 1.96 2.11 1.94 1.55 1.15 0.95 1.04 1.36 1.75 2.08 2.33 2.60 3.02 3.62 4.30 4.79 4.84 4.35 3.43 2.41 1.61 1.23 1.26 1.48 1.64 1.58 1.32 1.01 0.82 0.86 1.07 1.32 1.48 1.46 1.27 1.02 0.79 0.69 0.73 0.87 1.03 1.10 1.02 0.79 0.51 0.30 0.28 0.46 0.74 0.94 0.93 0.70 0.42 0.35 0.68 1.41 2.35 3.17 3.60 3.55 3.15 2.64 2.23 2.02 1.92 1.79 1.53 1.20 0.94 0.90 1.15 1.58 1.96 2.11 1.94 1.55 1.15 0.95 1.04 1.36 1.75 2.08 2.33 2.60 3.02 3.62 4.30 4.79 4.84 4.35 3.43 2.41 1.61 1.23 1.26 1.48 1.64 1.58 1.32 1.01 0.82 0.86 1.07 1.32 1.48 1.46 1.27 1.02 0.79 0.69 85.0 + 87.5 0.33 0.40 0.61 0.85 1.00 0.98 0.78 0.49 0.26 0.22 0.41 0.69 0.88 0.83 0.53 0.17 0.04 0.35 1.12 2.14 3.05 3.55 3.51 3.05 2.45 1.96 1.66 1.50 1.33 1.04 0.67 0.36 0.30 0.53 0.95 1.34 1.49 1.32 0.91 0.50 0.29 0.38 0.71 1.11 1.44 1.68 1.93 2.34 2.95 3.65 4.16 4.20 3.68 2.72 1.66 0.86 0.53 0.65 0.98 1.24 1.25 1.02 0.72 0.53 0.57 0.79 1.06 1.23 1.19 0.98 0.68 0.44 0.33 0.40 0.61 0.85 1.00 0.98 0.78 0.49 0.26 0.22 0.41 0.69 0.88 0.83 0.53 0.17 0.04 0.35 1.12 2.14 3.05 3.55 3.51 3.05 2.45 1.96 1.66 1.50 1.33 1.04 0.67 0.36 0.30 0.53 0.95 1.34 1.49 1.32 0.91 0.50 0.29 0.38 0.71 1.11 1.44 1.68 1.93 2.34 2.95 3.65 4.16 4.20 3.68 2.72 1.66 0.86 0.53 0.65 0.98 1.24 1.25 1.02 0.72 0.53 0.57 0.79 1.06 1.23 1.19 0.98 0.68 0.44 0.33 87.5 + 90.0 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 90.0 + + 50.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.66 ) PHI2 = 50. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.0 + 2.5 0.00 0.09 0.28 0.37 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.19 2.28 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.44 0.40 0.38 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.39 0.41 0.45 0.56 0.73 0.93 1.15 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.37 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.19 2.28 2.23 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.56 0.44 0.40 0.38 0.35 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.39 0.41 0.45 0.56 0.73 0.93 1.15 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 2.5 + 5.0 0.12 0.30 0.43 0.46 0.42 0.35 0.33 0.38 0.50 0.68 0.89 1.13 1.40 1.70 2.00 2.24 2.38 2.39 2.26 2.05 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.48 0.47 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.46 0.50 0.51 0.55 0.65 0.81 1.01 1.24 1.50 1.76 2.01 2.22 2.33 2.33 2.19 1.96 1.67 1.39 1.12 0.88 0.67 0.50 0.39 0.36 0.39 0.46 0.49 0.44 0.30 0.12 0.00 0.00 0.00 0.12 0.30 0.43 0.46 0.42 0.35 0.33 0.38 0.50 0.68 0.89 1.13 1.40 1.70 2.00 2.24 2.38 2.39 2.26 2.05 1.78 1.52 1.27 1.03 0.82 0.65 0.54 0.48 0.47 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.46 0.50 0.51 0.55 0.65 0.81 1.01 1.24 1.50 1.76 2.01 2.22 2.33 2.33 2.19 1.96 1.67 1.39 1.12 0.88 0.67 0.50 0.39 0.36 0.39 0.46 0.49 0.44 0.30 0.12 0.00 0.00 0.00 0.12 5.0 + 7.5 0.49 0.60 0.66 0.63 0.53 0.41 0.33 0.33 0.40 0.55 0.74 0.99 1.28 1.62 1.97 2.29 2.51 2.58 2.51 2.31 2.05 1.77 1.50 1.27 1.07 0.91 0.81 0.76 0.75 0.73 0.66 0.53 0.36 0.21 0.14 0.18 0.32 0.50 0.65 0.75 0.78 0.78 0.80 0.87 1.00 1.19 1.43 1.69 1.97 2.22 2.40 2.47 2.40 2.19 1.91 1.58 1.27 0.98 0.74 0.55 0.42 0.36 0.39 0.49 0.61 0.70 0.70 0.61 0.47 0.35 0.31 0.37 0.49 0.60 0.66 0.63 0.53 0.41 0.33 0.33 0.40 0.55 0.74 0.99 1.28 1.62 1.97 2.29 2.51 2.58 2.51 2.31 2.05 1.77 1.50 1.27 1.07 0.91 0.81 0.76 0.75 0.73 0.66 0.53 0.36 0.21 0.14 0.18 0.32 0.50 0.65 0.75 0.78 0.78 0.80 0.87 1.00 1.19 1.43 1.69 1.97 2.22 2.40 2.47 2.40 2.19 1.91 1.58 1.27 0.98 0.74 0.55 0.42 0.36 0.39 0.49 0.61 0.70 0.70 0.61 0.47 0.35 0.31 0.37 0.49 7.5 + 10.0 0.87 0.93 0.94 0.87 0.74 0.59 0.47 0.42 0.45 0.55 0.71 0.92 1.20 1.55 1.93 2.30 2.59 2.74 2.73 2.59 2.35 2.09 1.84 1.64 1.47 1.35 1.28 1.26 1.26 1.27 1.23 1.14 1.01 0.89 0.81 0.83 0.92 1.06 1.18 1.24 1.25 1.22 1.20 1.22 1.30 1.46 1.68 1.94 2.21 2.44 2.57 2.57 2.42 2.17 1.85 1.51 1.21 0.94 0.73 0.57 0.48 0.48 0.56 0.71 0.86 0.96 0.98 0.93 0.83 0.76 0.74 0.78 0.87 0.93 0.94 0.87 0.74 0.59 0.47 0.42 0.45 0.55 0.71 0.92 1.20 1.55 1.93 2.30 2.59 2.74 2.73 2.59 2.35 2.09 1.84 1.64 1.47 1.35 1.28 1.26 1.26 1.27 1.23 1.14 1.01 0.89 0.81 0.83 0.92 1.06 1.18 1.24 1.25 1.22 1.20 1.22 1.30 1.46 1.68 1.94 2.21 2.44 2.57 2.57 2.42 2.17 1.85 1.51 1.21 0.94 0.73 0.57 0.48 0.48 0.56 0.71 0.86 0.96 0.98 0.93 0.83 0.76 0.74 0.78 0.87 10.0 + 12.5 1.18 1.21 1.19 1.11 0.98 0.84 0.72 0.65 0.63 0.68 0.78 0.94 1.16 1.47 1.83 2.21 2.55 2.78 2.86 2.79 2.62 2.41 2.21 2.05 1.93 1.86 1.83 1.84 1.87 1.91 1.91 1.86 1.77 1.66 1.58 1.57 1.62 1.71 1.79 1.82 1.79 1.72 1.65 1.61 1.63 1.74 1.93 2.16 2.40 2.58 2.65 2.57 2.37 2.08 1.76 1.46 1.21 1.00 0.83 0.72 0.69 0.73 0.84 0.99 1.13 1.21 1.22 1.18 1.12 1.08 1.08 1.13 1.18 1.21 1.19 1.11 0.98 0.84 0.72 0.65 0.63 0.68 0.78 0.94 1.16 1.47 1.83 2.21 2.55 2.78 2.86 2.79 2.62 2.41 2.21 2.05 1.93 1.86 1.83 1.84 1.87 1.91 1.91 1.86 1.77 1.66 1.58 1.57 1.62 1.71 1.79 1.82 1.79 1.72 1.65 1.61 1.63 1.74 1.93 2.16 2.40 2.58 2.65 2.57 2.37 2.08 1.76 1.46 1.21 1.00 0.83 0.72 0.69 0.73 0.84 0.99 1.13 1.21 1.22 1.18 1.12 1.08 1.08 1.13 1.18 12.5 + 15.0 1.35 1.36 1.32 1.25 1.16 1.06 0.96 0.89 0.84 0.84 0.87 0.96 1.10 1.33 1.64 2.01 2.36 2.65 2.81 2.84 2.75 2.61 2.47 2.35 2.27 2.23 2.23 2.27 2.34 2.40 2.45 2.44 2.38 2.28 2.20 2.17 2.18 2.23 2.26 2.25 2.18 2.07 1.95 1.86 1.85 1.93 2.09 2.29 2.49 2.61 2.61 2.47 2.22 1.92 1.63 1.39 1.20 1.07 0.97 0.92 0.92 0.98 1.09 1.21 1.30 1.34 1.32 1.29 1.25 1.25 1.28 1.32 1.35 1.36 1.32 1.25 1.16 1.06 0.96 0.89 0.84 0.84 0.87 0.96 1.10 1.33 1.64 2.01 2.36 2.65 2.81 2.84 2.75 2.61 2.47 2.35 2.27 2.23 2.23 2.27 2.34 2.40 2.45 2.44 2.38 2.28 2.20 2.17 2.18 2.23 2.26 2.25 2.18 2.07 1.95 1.86 1.85 1.93 2.09 2.29 2.49 2.61 2.61 2.47 2.22 1.92 1.63 1.39 1.20 1.07 0.97 0.92 0.92 0.98 1.09 1.21 1.30 1.34 1.32 1.29 1.25 1.25 1.28 1.32 1.35 15.0 + 17.5 1.35 1.32 1.27 1.21 1.16 1.10 1.04 0.98 0.93 0.89 0.88 0.90 0.97 1.12 1.36 1.67 2.03 2.35 2.59 2.71 2.71 2.63 2.53 2.43 2.36 2.33 2.33 2.39 2.48 2.58 2.66 2.70 2.67 2.60 2.52 2.47 2.45 2.45 2.44 2.38 2.27 2.12 1.98 1.88 1.87 1.94 2.10 2.29 2.46 2.53 2.46 2.26 1.98 1.68 1.43 1.25 1.13 1.06 1.02 1.01 1.03 1.10 1.18 1.26 1.29 1.27 1.23 1.20 1.21 1.26 1.32 1.35 1.35 1.32 1.27 1.21 1.16 1.10 1.04 0.98 0.93 0.89 0.88 0.90 0.97 1.12 1.36 1.67 2.03 2.35 2.59 2.71 2.71 2.63 2.53 2.43 2.36 2.33 2.33 2.39 2.48 2.58 2.66 2.70 2.67 2.60 2.52 2.47 2.45 2.45 2.44 2.38 2.27 2.12 1.98 1.88 1.87 1.94 2.10 2.29 2.46 2.53 2.46 2.26 1.98 1.68 1.43 1.25 1.13 1.06 1.02 1.01 1.03 1.10 1.18 1.26 1.29 1.27 1.23 1.20 1.21 1.26 1.32 1.35 1.35 17.5 + 20.0 1.18 1.11 1.03 0.97 0.94 0.92 0.90 0.86 0.81 0.76 0.73 0.71 0.73 0.82 0.99 1.26 1.59 1.93 2.22 2.41 2.49 2.47 2.40 2.30 2.22 2.17 2.17 2.23 2.35 2.49 2.62 2.69 2.71 2.66 2.60 2.53 2.48 2.43 2.35 2.24 2.09 1.92 1.78 1.70 1.71 1.81 1.98 2.17 2.31 2.34 2.23 2.00 1.70 1.42 1.19 1.04 0.96 0.92 0.90 0.91 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.95 1.01 1.11 1.19 1.22 1.18 1.11 1.03 0.97 0.94 0.92 0.90 0.86 0.81 0.76 0.73 0.71 0.73 0.82 0.99 1.26 1.59 1.93 2.22 2.41 2.49 2.47 2.40 2.30 2.22 2.17 2.17 2.23 2.35 2.49 2.62 2.69 2.71 2.66 2.60 2.53 2.48 2.43 2.35 2.24 2.09 1.92 1.78 1.70 1.71 1.81 1.98 2.17 2.31 2.34 2.23 2.00 1.70 1.42 1.19 1.04 0.96 0.92 0.90 0.91 0.94 0.99 1.04 1.06 1.04 0.99 0.94 0.95 1.01 1.11 1.19 1.22 1.18 20.0 + 22.5 0.89 0.76 0.64 0.57 0.56 0.57 0.58 0.56 0.52 0.47 0.44 0.42 0.43 0.48 0.61 0.82 1.12 1.46 1.77 2.02 2.16 2.20 2.16 2.09 2.01 1.96 1.97 2.05 2.19 2.37 2.55 2.67 2.73 2.71 2.65 2.57 2.47 2.36 2.22 2.04 1.85 1.67 1.53 1.47 1.51 1.63 1.80 1.97 2.08 2.08 1.95 1.71 1.42 1.14 0.93 0.80 0.72 0.68 0.65 0.64 0.66 0.70 0.72 0.70 0.64 0.56 0.53 0.57 0.70 0.85 0.95 0.97 0.89 0.76 0.64 0.57 0.56 0.57 0.58 0.56 0.52 0.47 0.44 0.42 0.43 0.48 0.61 0.82 1.12 1.46 1.77 2.02 2.16 2.20 2.16 2.09 2.01 1.96 1.97 2.05 2.19 2.37 2.55 2.67 2.73 2.71 2.65 2.57 2.47 2.36 2.22 2.04 1.85 1.67 1.53 1.47 1.51 1.63 1.80 1.97 2.08 2.08 1.95 1.71 1.42 1.14 0.93 0.80 0.72 0.68 0.65 0.64 0.66 0.70 0.72 0.70 0.64 0.56 0.53 0.57 0.70 0.85 0.95 0.97 0.89 22.5 + 25.0 0.52 0.36 0.21 0.14 0.14 0.18 0.20 0.19 0.16 0.12 0.10 0.10 0.12 0.17 0.26 0.43 0.68 0.99 1.31 1.59 1.80 1.91 1.94 1.93 1.90 1.90 1.96 2.08 2.28 2.50 2.72 2.88 2.96 2.97 2.91 2.80 2.65 2.46 2.24 2.00 1.76 1.56 1.42 1.37 1.39 1.49 1.62 1.74 1.81 1.77 1.63 1.40 1.13 0.89 0.70 0.57 0.48 0.40 0.35 0.32 0.32 0.34 0.34 0.29 0.20 0.12 0.09 0.17 0.34 0.53 0.64 0.64 0.52 0.36 0.21 0.14 0.14 0.18 0.20 0.19 0.16 0.12 0.10 0.10 0.12 0.17 0.26 0.43 0.68 0.99 1.31 1.59 1.80 1.91 1.94 1.93 1.90 1.90 1.96 2.08 2.28 2.50 2.72 2.88 2.96 2.97 2.91 2.80 2.65 2.46 2.24 2.00 1.76 1.56 1.42 1.37 1.39 1.49 1.62 1.74 1.81 1.77 1.63 1.40 1.13 0.89 0.70 0.57 0.48 0.40 0.35 0.32 0.32 0.34 0.34 0.29 0.20 0.12 0.09 0.17 0.34 0.53 0.64 0.64 0.52 25.0 + 27.5 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.31 0.57 0.88 1.19 1.46 1.66 1.80 1.89 1.97 2.08 2.22 2.42 2.67 2.93 3.16 3.34 3.44 3.45 3.37 3.22 3.01 2.76 2.47 2.18 1.91 1.69 1.54 1.45 1.41 1.43 1.47 1.51 1.50 1.42 1.27 1.07 0.85 0.66 0.50 0.38 0.27 0.18 0.10 0.05 0.05 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.33 0.32 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.31 0.57 0.88 1.19 1.46 1.66 1.80 1.89 1.97 2.08 2.22 2.42 2.67 2.93 3.16 3.34 3.44 3.45 3.37 3.22 3.01 2.76 2.47 2.18 1.91 1.69 1.54 1.45 1.41 1.43 1.47 1.51 1.50 1.42 1.27 1.07 0.85 0.66 0.50 0.38 0.27 0.18 0.10 0.05 0.05 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.33 0.32 0.18 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.53 0.85 1.17 1.46 1.71 1.93 2.14 2.37 2.62 2.89 3.17 3.44 3.66 3.82 3.90 3.90 3.80 3.62 3.36 3.06 2.74 2.43 2.16 1.94 1.77 1.62 1.51 1.41 1.33 1.26 1.17 1.06 0.92 0.75 0.59 0.44 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.53 0.85 1.17 1.46 1.71 1.93 2.14 2.37 2.62 2.89 3.17 3.44 3.66 3.82 3.90 3.90 3.80 3.62 3.36 3.06 2.74 2.43 2.16 1.94 1.77 1.62 1.51 1.41 1.33 1.26 1.17 1.06 0.92 0.75 0.59 0.44 0.33 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.06 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.30 0.62 0.96 1.29 1.61 1.91 2.22 2.54 2.86 3.17 3.45 3.68 3.85 3.96 4.01 3.98 3.86 3.66 3.39 3.09 2.78 2.51 2.28 2.09 1.92 1.74 1.55 1.36 1.18 1.02 0.89 0.76 0.63 0.49 0.37 0.27 0.19 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.30 0.62 0.96 1.29 1.61 1.91 2.22 2.54 2.86 3.17 3.45 3.68 3.85 3.96 4.01 3.98 3.86 3.66 3.39 3.09 2.78 2.51 2.28 2.09 1.92 1.74 1.55 1.36 1.18 1.02 0.89 0.76 0.63 0.49 0.37 0.27 0.19 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.51 0.82 1.14 1.44 1.75 2.07 2.41 2.73 3.02 3.24 3.40 3.49 3.54 3.55 3.50 3.39 3.20 2.95 2.68 2.43 2.23 2.09 1.98 1.86 1.68 1.46 1.22 1.01 0.84 0.70 0.60 0.49 0.37 0.26 0.17 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.51 0.82 1.14 1.44 1.75 2.07 2.41 2.73 3.02 3.24 3.40 3.49 3.54 3.55 3.50 3.39 3.20 2.95 2.68 2.43 2.23 2.09 1.98 1.86 1.68 1.46 1.22 1.01 0.84 0.70 0.60 0.49 0.37 0.26 0.17 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.05 0.00 35.0 + 37.5 0.17 0.08 0.05 0.11 0.21 0.29 0.32 0.26 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.29 0.55 0.79 1.01 1.21 1.44 1.69 1.96 2.23 2.43 2.56 2.62 2.62 2.62 2.61 2.59 2.51 2.36 2.15 1.93 1.75 1.65 1.62 1.61 1.57 1.45 1.26 1.04 0.86 0.74 0.67 0.62 0.55 0.44 0.30 0.17 0.07 0.02 0.00 0.00 0.01 0.04 0.07 0.10 0.11 0.09 0.06 0.04 0.06 0.13 0.23 0.31 0.33 0.28 0.17 0.08 0.05 0.11 0.21 0.29 0.32 0.26 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.29 0.55 0.79 1.01 1.21 1.44 1.69 1.96 2.23 2.43 2.56 2.62 2.62 2.62 2.61 2.59 2.51 2.36 2.15 1.93 1.75 1.65 1.62 1.61 1.57 1.45 1.26 1.04 0.86 0.74 0.67 0.62 0.55 0.44 0.30 0.17 0.07 0.02 0.00 0.00 0.01 0.04 0.07 0.10 0.11 0.09 0.06 0.04 0.06 0.13 0.23 0.31 0.33 0.28 0.17 37.5 + 40.0 0.45 0.37 0.36 0.39 0.45 0.50 0.49 0.43 0.34 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.04 0.24 0.47 0.68 0.82 0.90 0.96 1.04 1.18 1.36 1.53 1.64 1.66 1.62 1.56 1.53 1.55 1.58 1.57 1.48 1.32 1.13 1.00 0.97 1.03 1.13 1.18 1.14 1.01 0.86 0.76 0.73 0.76 0.80 0.77 0.65 0.45 0.25 0.10 0.02 0.03 0.09 0.16 0.21 0.23 0.24 0.23 0.23 0.26 0.31 0.39 0.49 0.58 0.63 0.61 0.54 0.45 0.37 0.36 0.39 0.45 0.50 0.49 0.43 0.34 0.23 0.13 0.04 0.00 0.00 0.00 0.00 0.04 0.24 0.47 0.68 0.82 0.90 0.96 1.04 1.18 1.36 1.53 1.64 1.66 1.62 1.56 1.53 1.55 1.58 1.57 1.48 1.32 1.13 1.00 0.97 1.03 1.13 1.18 1.14 1.01 0.86 0.76 0.73 0.76 0.80 0.77 0.65 0.45 0.25 0.10 0.02 0.03 0.09 0.16 0.21 0.23 0.24 0.23 0.23 0.26 0.31 0.39 0.49 0.58 0.63 0.61 0.54 0.45 40.0 + 42.5 0.62 0.57 0.57 0.59 0.61 0.61 0.59 0.54 0.50 0.45 0.38 0.29 0.17 0.05 0.00 0.03 0.18 0.41 0.65 0.81 0.86 0.80 0.71 0.66 0.69 0.79 0.89 0.93 0.87 0.76 0.67 0.65 0.73 0.86 0.94 0.91 0.77 0.58 0.44 0.43 0.54 0.70 0.84 0.87 0.81 0.72 0.68 0.74 0.87 0.99 1.01 0.88 0.63 0.35 0.14 0.06 0.11 0.24 0.37 0.44 0.44 0.40 0.35 0.34 0.40 0.52 0.65 0.77 0.84 0.84 0.78 0.69 0.62 0.57 0.57 0.59 0.61 0.61 0.59 0.54 0.50 0.45 0.38 0.29 0.17 0.05 0.00 0.03 0.18 0.41 0.65 0.81 0.86 0.80 0.71 0.66 0.69 0.79 0.89 0.93 0.87 0.76 0.67 0.65 0.73 0.86 0.94 0.91 0.77 0.58 0.44 0.43 0.54 0.70 0.84 0.87 0.81 0.72 0.68 0.74 0.87 0.99 1.01 0.88 0.63 0.35 0.14 0.06 0.11 0.24 0.37 0.44 0.44 0.40 0.35 0.34 0.40 0.52 0.65 0.77 0.84 0.84 0.78 0.69 0.62 42.5 + 45.0 0.58 0.59 0.62 0.65 0.64 0.60 0.56 0.56 0.59 0.63 0.63 0.55 0.40 0.21 0.09 0.09 0.24 0.49 0.72 0.84 0.80 0.64 0.44 0.32 0.31 0.39 0.48 0.49 0.40 0.26 0.16 0.19 0.35 0.58 0.75 0.77 0.62 0.38 0.18 0.12 0.23 0.43 0.61 0.69 0.67 0.60 0.58 0.68 0.87 1.06 1.12 1.00 0.72 0.39 0.14 0.08 0.19 0.42 0.62 0.72 0.69 0.57 0.44 0.39 0.46 0.61 0.77 0.88 0.90 0.83 0.72 0.62 0.58 0.59 0.62 0.65 0.64 0.60 0.56 0.56 0.59 0.63 0.63 0.55 0.40 0.21 0.09 0.09 0.24 0.49 0.72 0.84 0.80 0.64 0.44 0.32 0.31 0.39 0.48 0.49 0.40 0.26 0.16 0.19 0.35 0.58 0.75 0.77 0.62 0.38 0.18 0.12 0.23 0.43 0.61 0.69 0.67 0.60 0.58 0.68 0.87 1.06 1.12 1.00 0.72 0.39 0.14 0.08 0.19 0.42 0.62 0.72 0.69 0.57 0.44 0.39 0.46 0.61 0.77 0.88 0.90 0.83 0.72 0.62 0.58 45.0 + 47.5 0.34 0.42 0.52 0.57 0.54 0.47 0.44 0.48 0.60 0.76 0.85 0.80 0.62 0.36 0.15 0.09 0.20 0.43 0.64 0.72 0.62 0.40 0.16 0.03 0.04 0.17 0.30 0.33 0.24 0.09 0.00 0.08 0.33 0.65 0.90 0.95 0.76 0.44 0.14 0.01 0.07 0.28 0.49 0.59 0.56 0.46 0.41 0.49 0.69 0.92 1.02 0.93 0.66 0.32 0.08 0.06 0.26 0.58 0.87 1.00 0.92 0.71 0.49 0.37 0.41 0.56 0.72 0.79 0.74 0.59 0.43 0.33 0.34 0.42 0.52 0.57 0.54 0.47 0.44 0.48 0.60 0.76 0.85 0.80 0.62 0.36 0.15 0.09 0.20 0.43 0.64 0.72 0.62 0.40 0.16 0.03 0.04 0.17 0.30 0.33 0.24 0.09 0.00 0.08 0.33 0.65 0.90 0.95 0.76 0.44 0.14 0.01 0.07 0.28 0.49 0.59 0.56 0.46 0.41 0.49 0.69 0.92 1.02 0.93 0.66 0.32 0.08 0.06 0.26 0.58 0.87 1.00 0.92 0.71 0.49 0.37 0.41 0.56 0.72 0.79 0.74 0.59 0.43 0.33 0.34 47.5 + 50.0 0.02 0.19 0.35 0.43 0.39 0.29 0.24 0.31 0.52 0.79 0.98 0.99 0.80 0.49 0.20 0.06 0.11 0.29 0.46 0.50 0.37 0.13 0.00 0.00 0.00 0.07 0.26 0.33 0.25 0.10 0.03 0.14 0.45 0.84 1.14 1.19 0.96 0.56 0.17 0.00 0.00 0.19 0.42 0.53 0.47 0.31 0.19 0.20 0.38 0.61 0.76 0.71 0.48 0.17 0.00 0.01 0.30 0.71 1.07 1.21 1.09 0.79 0.47 0.28 0.27 0.40 0.54 0.57 0.46 0.24 0.04 0.00 0.02 0.19 0.35 0.43 0.39 0.29 0.24 0.31 0.52 0.79 0.98 0.99 0.80 0.49 0.20 0.06 0.11 0.29 0.46 0.50 0.37 0.13 0.00 0.00 0.00 0.07 0.26 0.33 0.25 0.10 0.03 0.14 0.45 0.84 1.14 1.19 0.96 0.56 0.17 0.00 0.00 0.19 0.42 0.53 0.47 0.31 0.19 0.20 0.38 0.61 0.76 0.71 0.48 0.17 0.00 0.01 0.30 0.71 1.07 1.21 1.09 0.79 0.47 0.28 0.27 0.40 0.54 0.57 0.46 0.24 0.04 0.00 0.02 50.0 + 52.5 0.00 0.04 0.26 0.34 0.27 0.12 0.04 0.12 0.39 0.74 1.02 1.10 0.93 0.60 0.27 0.06 0.05 0.18 0.31 0.33 0.19 0.00 0.00 0.00 0.00 0.05 0.27 0.37 0.30 0.16 0.09 0.21 0.54 0.95 1.26 1.30 1.05 0.60 0.16 0.00 0.00 0.13 0.38 0.49 0.41 0.20 0.00 0.00 0.07 0.29 0.47 0.48 0.30 0.04 0.00 0.00 0.31 0.78 1.17 1.32 1.17 0.80 0.40 0.14 0.10 0.21 0.34 0.36 0.20 0.00 0.00 0.00 0.00 0.04 0.26 0.34 0.27 0.12 0.04 0.12 0.39 0.74 1.02 1.10 0.93 0.60 0.27 0.06 0.05 0.18 0.31 0.33 0.19 0.00 0.00 0.00 0.00 0.05 0.27 0.37 0.30 0.16 0.09 0.21 0.54 0.95 1.26 1.30 1.05 0.60 0.16 0.00 0.00 0.13 0.38 0.49 0.41 0.20 0.00 0.00 0.07 0.29 0.47 0.48 0.30 0.04 0.00 0.00 0.31 0.78 1.17 1.32 1.17 0.80 0.40 0.14 0.10 0.21 0.34 0.36 0.20 0.00 0.00 0.00 0.00 52.5 + 55.0 0.00 0.10 0.33 0.40 0.27 0.06 0.00 0.00 0.25 0.65 1.00 1.15 1.02 0.71 0.37 0.14 0.10 0.19 0.31 0.32 0.19 0.00 0.00 0.00 0.00 0.10 0.32 0.41 0.35 0.21 0.14 0.25 0.55 0.93 1.22 1.25 0.99 0.55 0.11 0.00 0.00 0.12 0.39 0.52 0.43 0.19 0.00 0.00 0.00 0.09 0.28 0.33 0.20 0.00 0.00 0.00 0.32 0.80 1.19 1.33 1.15 0.74 0.31 0.02 0.00 0.09 0.23 0.26 0.11 0.00 0.00 0.00 0.00 0.10 0.33 0.40 0.27 0.06 0.00 0.00 0.25 0.65 1.00 1.15 1.02 0.71 0.37 0.14 0.10 0.19 0.31 0.32 0.19 0.00 0.00 0.00 0.00 0.10 0.32 0.41 0.35 0.21 0.14 0.25 0.55 0.93 1.22 1.25 0.99 0.55 0.11 0.00 0.00 0.12 0.39 0.52 0.43 0.19 0.00 0.00 0.00 0.09 0.28 0.33 0.20 0.00 0.00 0.00 0.32 0.80 1.19 1.33 1.15 0.74 0.31 0.02 0.00 0.09 0.23 0.26 0.11 0.00 0.00 0.00 0.00 55.0 + 57.5 0.08 0.36 0.57 0.60 0.41 0.12 0.00 0.00 0.17 0.58 0.95 1.13 1.06 0.80 0.48 0.27 0.23 0.33 0.45 0.49 0.38 0.18 0.00 0.00 0.03 0.22 0.40 0.48 0.42 0.30 0.22 0.30 0.55 0.86 1.09 1.10 0.87 0.48 0.10 0.00 0.00 0.19 0.46 0.60 0.52 0.28 0.00 0.00 0.00 0.06 0.24 0.30 0.21 0.03 0.00 0.01 0.33 0.77 1.13 1.24 1.06 0.66 0.23 0.00 0.00 0.07 0.25 0.31 0.22 0.03 0.00 0.00 0.08 0.36 0.57 0.60 0.41 0.12 0.00 0.00 0.17 0.58 0.95 1.13 1.06 0.80 0.48 0.27 0.23 0.33 0.45 0.49 0.38 0.18 0.00 0.00 0.03 0.22 0.40 0.48 0.42 0.30 0.22 0.30 0.55 0.86 1.09 1.10 0.87 0.48 0.10 0.00 0.00 0.19 0.46 0.60 0.52 0.28 0.00 0.00 0.00 0.06 0.24 0.30 0.21 0.03 0.00 0.01 0.33 0.77 1.13 1.24 1.06 0.66 0.23 0.00 0.00 0.07 0.25 0.31 0.22 0.03 0.00 0.00 0.08 57.5 + 60.0 0.44 0.69 0.87 0.84 0.61 0.28 0.02 0.00 0.17 0.53 0.88 1.07 1.03 0.81 0.55 0.38 0.36 0.48 0.63 0.70 0.64 0.48 0.30 0.21 0.23 0.35 0.48 0.55 0.51 0.41 0.35 0.40 0.56 0.78 0.94 0.94 0.75 0.43 0.14 0.01 0.08 0.31 0.55 0.68 0.62 0.39 0.13 0.00 0.00 0.10 0.26 0.33 0.25 0.09 0.00 0.05 0.31 0.68 1.00 1.09 0.93 0.57 0.20 0.00 0.00 0.15 0.36 0.47 0.43 0.30 0.21 0.25 0.44 0.69 0.87 0.84 0.61 0.28 0.02 0.00 0.17 0.53 0.88 1.07 1.03 0.81 0.55 0.38 0.36 0.48 0.63 0.70 0.64 0.48 0.30 0.21 0.23 0.35 0.48 0.55 0.51 0.41 0.35 0.40 0.56 0.78 0.94 0.94 0.75 0.43 0.14 0.01 0.08 0.31 0.55 0.68 0.62 0.39 0.13 0.00 0.00 0.10 0.26 0.33 0.25 0.09 0.00 0.05 0.31 0.68 1.00 1.09 0.93 0.57 0.20 0.00 0.00 0.15 0.36 0.47 0.43 0.30 0.21 0.25 0.44 60.0 + 62.5 0.71 0.92 1.05 0.99 0.75 0.42 0.16 0.08 0.23 0.52 0.81 0.96 0.91 0.72 0.50 0.36 0.37 0.51 0.68 0.79 0.77 0.65 0.48 0.36 0.33 0.39 0.48 0.55 0.55 0.50 0.46 0.47 0.56 0.69 0.79 0.77 0.63 0.41 0.21 0.13 0.20 0.40 0.60 0.71 0.65 0.45 0.21 0.06 0.04 0.14 0.27 0.33 0.26 0.12 0.01 0.04 0.24 0.55 0.81 0.90 0.77 0.49 0.20 0.04 0.08 0.27 0.49 0.62 0.62 0.54 0.48 0.53 0.71 0.92 1.05 0.99 0.75 0.42 0.16 0.08 0.23 0.52 0.81 0.96 0.91 0.72 0.50 0.36 0.37 0.51 0.68 0.79 0.77 0.65 0.48 0.36 0.33 0.39 0.48 0.55 0.55 0.50 0.46 0.47 0.56 0.69 0.79 0.77 0.63 0.41 0.21 0.13 0.20 0.40 0.60 0.71 0.65 0.45 0.21 0.06 0.04 0.14 0.27 0.33 0.26 0.12 0.01 0.04 0.24 0.55 0.81 0.90 0.77 0.49 0.20 0.04 0.08 0.27 0.49 0.62 0.62 0.54 0.48 0.53 0.71 62.5 + 65.0 0.76 0.93 1.02 0.96 0.75 0.47 0.25 0.18 0.29 0.51 0.72 0.81 0.74 0.55 0.34 0.21 0.22 0.36 0.53 0.66 0.68 0.58 0.42 0.28 0.22 0.24 0.33 0.41 0.46 0.46 0.44 0.44 0.47 0.54 0.59 0.58 0.50 0.37 0.25 0.21 0.28 0.43 0.59 0.67 0.62 0.46 0.26 0.13 0.11 0.18 0.29 0.33 0.27 0.14 0.03 0.03 0.17 0.41 0.63 0.72 0.64 0.44 0.23 0.14 0.20 0.38 0.58 0.69 0.69 0.62 0.57 0.62 0.76 0.93 1.02 0.96 0.75 0.47 0.25 0.18 0.29 0.51 0.72 0.81 0.74 0.55 0.34 0.21 0.22 0.36 0.53 0.66 0.68 0.58 0.42 0.28 0.22 0.24 0.33 0.41 0.46 0.46 0.44 0.44 0.47 0.54 0.59 0.58 0.50 0.37 0.25 0.21 0.28 0.43 0.59 0.67 0.62 0.46 0.26 0.13 0.11 0.18 0.29 0.33 0.27 0.14 0.03 0.03 0.17 0.41 0.63 0.72 0.64 0.44 0.23 0.14 0.20 0.38 0.58 0.69 0.69 0.62 0.57 0.62 0.76 65.0 + 67.5 0.62 0.75 0.82 0.77 0.62 0.42 0.26 0.23 0.32 0.48 0.63 0.67 0.57 0.37 0.16 0.02 0.01 0.12 0.28 0.41 0.44 0.35 0.19 0.04 0.00 0.00 0.07 0.19 0.28 0.31 0.30 0.28 0.28 0.32 0.38 0.42 0.41 0.35 0.29 0.28 0.34 0.46 0.59 0.67 0.65 0.54 0.40 0.31 0.31 0.39 0.49 0.52 0.46 0.32 0.18 0.13 0.20 0.37 0.54 0.62 0.57 0.44 0.31 0.26 0.33 0.49 0.63 0.70 0.67 0.58 0.51 0.52 0.62 0.75 0.82 0.77 0.62 0.42 0.26 0.23 0.32 0.48 0.63 0.67 0.57 0.37 0.16 0.02 0.01 0.12 0.28 0.41 0.44 0.35 0.19 0.04 0.00 0.00 0.07 0.19 0.28 0.31 0.30 0.28 0.28 0.32 0.38 0.42 0.41 0.35 0.29 0.28 0.34 0.46 0.59 0.67 0.65 0.54 0.40 0.31 0.31 0.39 0.49 0.52 0.46 0.32 0.18 0.13 0.20 0.37 0.54 0.62 0.57 0.44 0.31 0.26 0.33 0.49 0.63 0.70 0.67 0.58 0.51 0.52 0.62 67.5 + 70.0 0.45 0.53 0.57 0.54 0.44 0.31 0.23 0.22 0.31 0.45 0.56 0.58 0.48 0.29 0.07 0.00 0.00 0.00 0.11 0.23 0.27 0.18 0.02 0.00 0.00 0.00 0.00 0.03 0.14 0.17 0.15 0.12 0.12 0.19 0.30 0.40 0.47 0.47 0.44 0.44 0.50 0.62 0.77 0.89 0.92 0.89 0.83 0.81 0.86 0.98 1.09 1.12 1.02 0.83 0.62 0.48 0.47 0.55 0.65 0.70 0.65 0.55 0.45 0.43 0.50 0.62 0.71 0.73 0.65 0.53 0.43 0.40 0.45 0.53 0.57 0.54 0.44 0.31 0.23 0.22 0.31 0.45 0.56 0.58 0.48 0.29 0.07 0.00 0.00 0.00 0.11 0.23 0.27 0.18 0.02 0.00 0.00 0.00 0.00 0.03 0.14 0.17 0.15 0.12 0.12 0.19 0.30 0.40 0.47 0.47 0.44 0.44 0.50 0.62 0.77 0.89 0.92 0.89 0.83 0.81 0.86 0.98 1.09 1.12 1.02 0.83 0.62 0.48 0.47 0.55 0.65 0.70 0.65 0.55 0.45 0.43 0.50 0.62 0.71 0.73 0.65 0.53 0.43 0.40 0.45 70.0 + 72.5 0.39 0.43 0.44 0.41 0.34 0.25 0.19 0.21 0.29 0.42 0.54 0.58 0.51 0.35 0.15 0.00 0.00 0.03 0.19 0.34 0.40 0.32 0.15 0.00 0.00 0.00 0.00 0.15 0.24 0.25 0.20 0.15 0.17 0.30 0.49 0.68 0.81 0.84 0.82 0.81 0.87 1.02 1.22 1.40 1.53 1.59 1.62 1.70 1.85 2.04 2.19 2.21 2.05 1.76 1.42 1.14 1.00 0.98 1.00 0.99 0.91 0.79 0.68 0.66 0.72 0.82 0.89 0.87 0.75 0.60 0.46 0.39 0.39 0.43 0.44 0.41 0.34 0.25 0.19 0.21 0.29 0.42 0.54 0.58 0.51 0.35 0.15 0.00 0.00 0.03 0.19 0.34 0.40 0.32 0.15 0.00 0.00 0.00 0.00 0.15 0.24 0.25 0.20 0.15 0.17 0.30 0.49 0.68 0.81 0.84 0.82 0.81 0.87 1.02 1.22 1.40 1.53 1.59 1.62 1.70 1.85 2.04 2.19 2.21 2.05 1.76 1.42 1.14 1.00 0.98 1.00 0.99 0.91 0.79 0.68 0.66 0.72 0.82 0.89 0.87 0.75 0.60 0.46 0.39 0.39 72.5 + 75.0 0.51 0.50 0.49 0.45 0.37 0.28 0.21 0.19 0.26 0.38 0.53 0.63 0.63 0.53 0.36 0.22 0.19 0.31 0.53 0.76 0.89 0.85 0.68 0.47 0.34 0.35 0.46 0.60 0.67 0.64 0.53 0.46 0.50 0.69 0.98 1.25 1.42 1.45 1.40 1.35 1.40 1.58 1.85 2.12 2.34 2.50 2.64 2.83 3.10 3.39 3.60 3.61 3.37 2.92 2.41 1.97 1.69 1.57 1.52 1.45 1.31 1.12 0.97 0.92 0.97 1.07 1.14 1.12 1.00 0.83 0.66 0.55 0.51 0.50 0.49 0.45 0.37 0.28 0.21 0.19 0.26 0.38 0.53 0.63 0.63 0.53 0.36 0.22 0.19 0.31 0.53 0.76 0.89 0.85 0.68 0.47 0.34 0.35 0.46 0.60 0.67 0.64 0.53 0.46 0.50 0.69 0.98 1.25 1.42 1.45 1.40 1.35 1.40 1.58 1.85 2.12 2.34 2.50 2.64 2.83 3.10 3.39 3.60 3.61 3.37 2.92 2.41 1.97 1.69 1.57 1.52 1.45 1.31 1.12 0.97 0.92 0.97 1.07 1.14 1.12 1.00 0.83 0.66 0.55 0.51 75.0 + 77.5 0.69 0.66 0.63 0.58 0.49 0.37 0.25 0.18 0.19 0.30 0.48 0.65 0.74 0.69 0.56 0.43 0.42 0.61 0.95 1.32 1.57 1.61 1.46 1.23 1.07 1.04 1.14 1.26 1.29 1.20 1.04 0.93 0.98 1.22 1.57 1.90 2.09 2.08 1.96 1.85 1.87 2.07 2.39 2.74 3.04 3.28 3.51 3.81 4.21 4.62 4.91 4.91 4.57 3.96 3.26 2.66 2.27 2.08 2.00 1.89 1.69 1.44 1.23 1.13 1.16 1.28 1.38 1.39 1.28 1.10 0.92 0.77 0.69 0.66 0.63 0.58 0.49 0.37 0.25 0.18 0.19 0.30 0.48 0.65 0.74 0.69 0.56 0.43 0.42 0.61 0.95 1.32 1.57 1.61 1.46 1.23 1.07 1.04 1.14 1.26 1.29 1.20 1.04 0.93 0.98 1.22 1.57 1.90 2.09 2.08 1.96 1.85 1.87 2.07 2.39 2.74 3.04 3.28 3.51 3.81 4.21 4.62 4.91 4.91 4.57 3.96 3.26 2.66 2.27 2.08 2.00 1.89 1.69 1.44 1.23 1.13 1.16 1.28 1.38 1.39 1.28 1.10 0.92 0.77 0.69 77.5 + 80.0 0.77 0.73 0.72 0.69 0.60 0.45 0.27 0.12 0.07 0.15 0.35 0.58 0.73 0.72 0.58 0.44 0.45 0.71 1.18 1.73 2.15 2.30 2.19 1.94 1.73 1.65 1.72 1.81 1.80 1.66 1.44 1.28 1.32 1.58 1.97 2.33 2.49 2.43 2.22 2.03 2.00 2.20 2.55 2.95 3.30 3.58 3.87 4.26 4.77 5.29 5.65 5.66 5.23 4.48 3.62 2.89 2.44 2.25 2.20 2.10 1.89 1.59 1.31 1.17 1.20 1.34 1.48 1.53 1.44 1.26 1.05 0.87 0.77 0.73 0.72 0.69 0.60 0.45 0.27 0.12 0.07 0.15 0.35 0.58 0.73 0.72 0.58 0.44 0.45 0.71 1.18 1.73 2.15 2.30 2.19 1.94 1.73 1.65 1.72 1.81 1.80 1.66 1.44 1.28 1.32 1.58 1.97 2.33 2.49 2.43 2.22 2.03 2.00 2.20 2.55 2.95 3.30 3.58 3.87 4.26 4.77 5.29 5.65 5.66 5.23 4.48 3.62 2.89 2.44 2.25 2.20 2.10 1.89 1.59 1.31 1.17 1.20 1.34 1.48 1.53 1.44 1.26 1.05 0.87 0.77 80.0 + 82.5 0.63 0.61 0.64 0.66 0.61 0.46 0.24 0.01 0.00 0.00 0.15 0.41 0.58 0.57 0.40 0.21 0.20 0.50 1.11 1.83 2.42 2.70 2.63 2.35 2.07 1.92 1.93 1.99 1.95 1.77 1.49 1.28 1.29 1.54 1.94 2.30 2.44 2.32 2.02 1.75 1.67 1.85 2.21 2.62 2.98 3.26 3.57 4.00 4.58 5.19 5.61 5.63 5.14 4.28 3.31 2.51 2.06 1.94 1.98 1.97 1.79 1.47 1.16 0.98 1.00 1.16 1.35 1.44 1.37 1.18 0.94 0.74 0.63 0.61 0.64 0.66 0.61 0.46 0.24 0.01 0.00 0.00 0.15 0.41 0.58 0.57 0.40 0.21 0.20 0.50 1.11 1.83 2.42 2.70 2.63 2.35 2.07 1.92 1.93 1.99 1.95 1.77 1.49 1.28 1.29 1.54 1.94 2.30 2.44 2.32 2.02 1.75 1.67 1.85 2.21 2.62 2.98 3.26 3.57 4.00 4.58 5.19 5.61 5.63 5.14 4.28 3.31 2.51 2.06 1.94 1.98 1.97 1.79 1.47 1.16 0.98 1.00 1.16 1.35 1.44 1.37 1.18 0.94 0.74 0.63 82.5 + 85.0 0.30 0.31 0.40 0.50 0.52 0.40 0.17 0.00 0.00 0.00 0.00 0.21 0.39 0.36 0.12 0.00 0.00 0.12 0.82 1.69 2.43 2.82 2.78 2.46 2.08 1.84 1.78 1.79 1.72 1.50 1.18 0.92 0.89 1.12 1.51 1.86 1.99 1.83 1.48 1.14 1.02 1.17 1.52 1.93 2.27 2.53 2.80 3.21 3.81 4.46 4.92 4.94 4.43 3.51 2.48 1.66 1.26 1.24 1.41 1.51 1.41 1.12 0.79 0.59 0.61 0.80 1.02 1.15 1.10 0.90 0.63 0.41 0.30 0.31 0.40 0.50 0.52 0.40 0.17 0.00 0.00 0.00 0.00 0.21 0.39 0.36 0.12 0.00 0.00 0.12 0.82 1.69 2.43 2.82 2.78 2.46 2.08 1.84 1.78 1.79 1.72 1.50 1.18 0.92 0.89 1.12 1.51 1.86 1.99 1.83 1.48 1.14 1.02 1.17 1.52 1.93 2.27 2.53 2.80 3.21 3.81 4.46 4.92 4.94 4.43 3.51 2.48 1.66 1.26 1.24 1.41 1.51 1.41 1.12 0.79 0.59 0.61 0.80 1.02 1.15 1.10 0.90 0.63 0.41 0.30 85.0 + 87.5 0.00 0.01 0.17 0.35 0.44 0.38 0.16 0.00 0.00 0.00 0.00 0.14 0.32 0.27 0.00 0.00 0.00 0.00 0.62 1.59 2.44 2.91 2.88 2.51 2.03 1.68 1.52 1.46 1.36 1.11 0.76 0.46 0.39 0.59 0.98 1.34 1.47 1.30 0.93 0.56 0.40 0.52 0.86 1.26 1.57 1.77 1.98 2.34 2.89 3.53 3.99 4.01 3.50 2.55 1.51 0.71 0.35 0.43 0.71 0.92 0.90 0.66 0.34 0.15 0.17 0.37 0.63 0.78 0.75 0.56 0.29 0.06 0.00 0.01 0.17 0.35 0.44 0.38 0.16 0.00 0.00 0.00 0.00 0.14 0.32 0.27 0.00 0.00 0.00 0.00 0.62 1.59 2.44 2.91 2.88 2.51 2.03 1.68 1.52 1.46 1.36 1.11 0.76 0.46 0.39 0.59 0.98 1.34 1.47 1.30 0.93 0.56 0.40 0.52 0.86 1.26 1.57 1.77 1.98 2.34 2.89 3.53 3.99 4.01 3.50 2.55 1.51 0.71 0.35 0.43 0.71 0.92 0.90 0.66 0.34 0.15 0.17 0.37 0.63 0.78 0.75 0.56 0.29 0.06 0.00 87.5 + 90.0 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 90.0 + + 52.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.98 ) PHI2 = 53. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.0 + 2.5 0.09 0.27 0.36 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.40 0.41 0.45 0.56 0.72 0.93 1.14 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.38 0.37 0.39 0.49 0.64 0.84 1.05 1.27 1.51 1.77 2.01 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.73 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.24 0.36 0.40 0.41 0.45 0.56 0.72 0.93 1.14 1.37 1.61 1.85 2.07 2.22 2.26 2.18 2.00 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.40 0.38 0.39 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 2.5 + 5.0 0.30 0.42 0.45 0.40 0.34 0.32 0.37 0.50 0.68 0.89 1.13 1.40 1.71 2.01 2.25 2.40 2.40 2.27 2.05 1.79 1.52 1.27 1.03 0.82 0.65 0.53 0.47 0.45 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.55 0.64 0.80 1.00 1.23 1.48 1.74 1.99 2.20 2.32 2.31 2.18 1.95 1.67 1.38 1.12 0.88 0.67 0.50 0.39 0.36 0.40 0.47 0.50 0.45 0.30 0.11 0.00 0.00 0.00 0.12 0.30 0.42 0.45 0.40 0.34 0.32 0.37 0.50 0.68 0.89 1.13 1.40 1.71 2.01 2.25 2.40 2.40 2.27 2.05 1.79 1.52 1.27 1.03 0.82 0.65 0.53 0.47 0.45 0.43 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.55 0.64 0.80 1.00 1.23 1.48 1.74 1.99 2.20 2.32 2.31 2.18 1.95 1.67 1.38 1.12 0.88 0.67 0.50 0.39 0.36 0.40 0.47 0.50 0.45 0.30 0.11 0.00 0.00 0.00 0.12 0.30 5.0 + 7.5 0.59 0.64 0.60 0.50 0.38 0.31 0.31 0.40 0.54 0.74 0.99 1.28 1.63 1.99 2.31 2.53 2.60 2.52 2.32 2.05 1.77 1.50 1.27 1.07 0.90 0.79 0.74 0.73 0.71 0.65 0.52 0.36 0.20 0.12 0.16 0.30 0.48 0.64 0.74 0.77 0.77 0.78 0.84 0.97 1.15 1.39 1.66 1.94 2.19 2.37 2.43 2.36 2.17 1.88 1.57 1.26 0.98 0.74 0.54 0.41 0.36 0.40 0.50 0.62 0.70 0.69 0.59 0.45 0.33 0.29 0.35 0.47 0.59 0.64 0.60 0.50 0.38 0.31 0.31 0.40 0.54 0.74 0.99 1.28 1.63 1.99 2.31 2.53 2.60 2.52 2.32 2.05 1.77 1.50 1.27 1.07 0.90 0.79 0.74 0.73 0.71 0.65 0.52 0.36 0.20 0.12 0.16 0.30 0.48 0.64 0.74 0.77 0.77 0.78 0.84 0.97 1.15 1.39 1.66 1.94 2.19 2.37 2.43 2.36 2.17 1.88 1.57 1.26 0.98 0.74 0.54 0.41 0.36 0.40 0.50 0.62 0.70 0.69 0.59 0.45 0.33 0.29 0.35 0.47 0.59 7.5 + 10.0 0.90 0.90 0.81 0.68 0.53 0.43 0.39 0.42 0.52 0.68 0.90 1.19 1.55 1.94 2.32 2.61 2.76 2.75 2.59 2.36 2.09 1.85 1.64 1.48 1.35 1.27 1.23 1.23 1.24 1.21 1.13 1.00 0.86 0.78 0.78 0.87 1.00 1.13 1.20 1.21 1.18 1.15 1.15 1.23 1.38 1.60 1.87 2.14 2.37 2.50 2.50 2.37 2.12 1.81 1.49 1.19 0.93 0.71 0.55 0.46 0.47 0.56 0.71 0.86 0.95 0.96 0.89 0.78 0.71 0.70 0.75 0.84 0.90 0.90 0.81 0.68 0.53 0.43 0.39 0.42 0.52 0.68 0.90 1.19 1.55 1.94 2.32 2.61 2.76 2.75 2.59 2.36 2.09 1.85 1.64 1.48 1.35 1.27 1.23 1.23 1.24 1.21 1.13 1.00 0.86 0.78 0.78 0.87 1.00 1.13 1.20 1.21 1.18 1.15 1.15 1.23 1.38 1.60 1.87 2.14 2.37 2.50 2.50 2.37 2.12 1.81 1.49 1.19 0.93 0.71 0.55 0.46 0.47 0.56 0.71 0.86 0.95 0.96 0.89 0.78 0.71 0.70 0.75 0.84 0.90 10.0 + 12.5 1.16 1.12 1.03 0.90 0.76 0.65 0.58 0.58 0.63 0.73 0.89 1.13 1.45 1.83 2.23 2.57 2.80 2.87 2.79 2.62 2.42 2.22 2.07 1.95 1.87 1.82 1.81 1.83 1.87 1.88 1.83 1.73 1.61 1.51 1.48 1.52 1.61 1.69 1.74 1.71 1.64 1.55 1.49 1.51 1.62 1.81 2.05 2.30 2.48 2.55 2.49 2.29 2.02 1.72 1.44 1.19 0.98 0.81 0.69 0.65 0.70 0.82 0.97 1.11 1.18 1.17 1.11 1.04 1.00 1.02 1.07 1.13 1.16 1.12 1.03 0.90 0.76 0.65 0.58 0.58 0.63 0.73 0.89 1.13 1.45 1.83 2.23 2.57 2.80 2.87 2.79 2.62 2.42 2.22 2.07 1.95 1.87 1.82 1.81 1.83 1.87 1.88 1.83 1.73 1.61 1.51 1.48 1.52 1.61 1.69 1.74 1.71 1.64 1.55 1.49 1.51 1.62 1.81 2.05 2.30 2.48 2.55 2.49 2.29 2.02 1.72 1.44 1.19 0.98 0.81 0.69 0.65 0.70 0.82 0.97 1.11 1.18 1.17 1.11 1.04 1.00 1.02 1.07 1.13 1.16 12.5 + 15.0 1.29 1.24 1.16 1.05 0.95 0.86 0.79 0.76 0.76 0.79 0.88 1.04 1.29 1.62 2.00 2.37 2.66 2.82 2.84 2.76 2.63 2.49 2.38 2.30 2.25 2.23 2.25 2.29 2.36 2.40 2.40 2.33 2.21 2.11 2.04 2.04 2.09 2.13 2.13 2.07 1.95 1.81 1.71 1.69 1.77 1.94 2.16 2.37 2.50 2.51 2.38 2.14 1.86 1.59 1.36 1.18 1.04 0.94 0.87 0.87 0.94 1.06 1.18 1.27 1.28 1.25 1.19 1.15 1.15 1.20 1.25 1.29 1.29 1.24 1.16 1.05 0.95 0.86 0.79 0.76 0.76 0.79 0.88 1.04 1.29 1.62 2.00 2.37 2.66 2.82 2.84 2.76 2.63 2.49 2.38 2.30 2.25 2.23 2.25 2.29 2.36 2.40 2.40 2.33 2.21 2.11 2.04 2.04 2.09 2.13 2.13 2.07 1.95 1.81 1.71 1.69 1.77 1.94 2.16 2.37 2.50 2.51 2.38 2.14 1.86 1.59 1.36 1.18 1.04 0.94 0.87 0.87 0.94 1.06 1.18 1.27 1.28 1.25 1.19 1.15 1.15 1.20 1.25 1.29 1.29 15.0 + 17.5 1.26 1.19 1.12 1.05 0.99 0.93 0.88 0.83 0.79 0.78 0.80 0.88 1.05 1.31 1.65 2.01 2.34 2.58 2.69 2.71 2.65 2.57 2.48 2.42 2.37 2.35 2.37 2.44 2.54 2.62 2.65 2.61 2.51 2.40 2.32 2.29 2.29 2.29 2.24 2.14 1.99 1.83 1.72 1.69 1.77 1.94 2.15 2.34 2.43 2.38 2.20 1.93 1.65 1.42 1.24 1.12 1.04 0.98 0.96 0.98 1.05 1.14 1.22 1.24 1.20 1.14 1.09 1.09 1.15 1.22 1.28 1.30 1.26 1.19 1.12 1.05 0.99 0.93 0.88 0.83 0.79 0.78 0.80 0.88 1.05 1.31 1.65 2.01 2.34 2.58 2.69 2.71 2.65 2.57 2.48 2.42 2.37 2.35 2.37 2.44 2.54 2.62 2.65 2.61 2.51 2.40 2.32 2.29 2.29 2.29 2.24 2.14 1.99 1.83 1.72 1.69 1.77 1.94 2.15 2.34 2.43 2.38 2.20 1.93 1.65 1.42 1.24 1.12 1.04 0.98 0.96 0.98 1.05 1.14 1.22 1.24 1.20 1.14 1.09 1.09 1.15 1.22 1.28 1.30 1.26 17.5 + 20.0 1.07 0.97 0.90 0.85 0.82 0.80 0.76 0.71 0.65 0.61 0.60 0.64 0.74 0.93 1.21 1.55 1.89 2.19 2.38 2.48 2.49 2.45 2.37 2.29 2.23 2.21 2.24 2.33 2.45 2.57 2.64 2.64 2.57 2.46 2.37 2.30 2.25 2.20 2.10 1.96 1.79 1.64 1.54 1.55 1.65 1.84 2.05 2.22 2.27 2.18 1.97 1.70 1.43 1.21 1.07 0.98 0.92 0.88 0.87 0.89 0.95 1.01 1.04 1.00 0.93 0.86 0.84 0.90 1.01 1.12 1.17 1.15 1.07 0.97 0.90 0.85 0.82 0.80 0.76 0.71 0.65 0.61 0.60 0.64 0.74 0.93 1.21 1.55 1.89 2.19 2.38 2.48 2.49 2.45 2.37 2.29 2.23 2.21 2.24 2.33 2.45 2.57 2.64 2.64 2.57 2.46 2.37 2.30 2.25 2.20 2.10 1.96 1.79 1.64 1.54 1.55 1.65 1.84 2.05 2.22 2.27 2.18 1.97 1.70 1.43 1.21 1.07 0.98 0.92 0.88 0.87 0.89 0.95 1.01 1.04 1.00 0.93 0.86 0.84 0.90 1.01 1.12 1.17 1.15 1.07 20.0 + 22.5 0.76 0.63 0.54 0.50 0.50 0.49 0.47 0.42 0.37 0.33 0.31 0.33 0.40 0.54 0.76 1.05 1.39 1.71 1.98 2.15 2.23 2.22 2.17 2.10 2.04 2.02 2.08 2.20 2.36 2.52 2.63 2.66 2.61 2.51 2.40 2.29 2.17 2.05 1.89 1.71 1.53 1.39 1.33 1.36 1.50 1.69 1.89 2.03 2.06 1.95 1.74 1.46 1.20 1.00 0.86 0.77 0.70 0.65 0.63 0.64 0.68 0.71 0.70 0.63 0.53 0.47 0.50 0.61 0.78 0.91 0.95 0.89 0.76 0.63 0.54 0.50 0.50 0.49 0.47 0.42 0.37 0.33 0.31 0.33 0.40 0.54 0.76 1.05 1.39 1.71 1.98 2.15 2.23 2.22 2.17 2.10 2.04 2.02 2.08 2.20 2.36 2.52 2.63 2.66 2.61 2.51 2.40 2.29 2.17 2.05 1.89 1.71 1.53 1.39 1.33 1.36 1.50 1.69 1.89 2.03 2.06 1.95 1.74 1.46 1.20 1.00 0.86 0.77 0.70 0.65 0.63 0.64 0.68 0.71 0.70 0.63 0.53 0.47 0.50 0.61 0.78 0.91 0.95 0.89 0.76 22.5 + 25.0 0.40 0.24 0.14 0.12 0.14 0.15 0.12 0.08 0.03 0.01 0.01 0.03 0.09 0.19 0.35 0.60 0.90 1.24 1.55 1.79 1.95 2.02 2.03 2.01 2.01 2.05 2.16 2.33 2.53 2.72 2.86 2.90 2.86 2.76 2.61 2.44 2.25 2.04 1.82 1.59 1.40 1.27 1.22 1.26 1.38 1.54 1.69 1.79 1.79 1.68 1.47 1.23 0.99 0.81 0.66 0.55 0.46 0.39 0.34 0.34 0.36 0.37 0.33 0.23 0.13 0.08 0.14 0.30 0.50 0.64 0.67 0.57 0.40 0.24 0.14 0.12 0.14 0.15 0.12 0.08 0.03 0.01 0.01 0.03 0.09 0.19 0.35 0.60 0.90 1.24 1.55 1.79 1.95 2.02 2.03 2.01 2.01 2.05 2.16 2.33 2.53 2.72 2.86 2.90 2.86 2.76 2.61 2.44 2.25 2.04 1.82 1.59 1.40 1.27 1.22 1.26 1.38 1.54 1.69 1.79 1.79 1.68 1.47 1.23 0.99 0.81 0.66 0.55 0.46 0.39 0.34 0.34 0.36 0.37 0.33 0.23 0.13 0.08 0.14 0.30 0.50 0.64 0.67 0.57 0.40 25.0 + 27.5 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.49 0.81 1.16 1.47 1.73 1.91 2.03 2.12 2.22 2.36 2.56 2.79 3.03 3.23 3.36 3.40 3.35 3.22 3.03 2.79 2.52 2.23 1.95 1.69 1.49 1.36 1.29 1.29 1.33 1.40 1.47 1.50 1.46 1.35 1.18 0.98 0.79 0.63 0.50 0.38 0.26 0.17 0.11 0.10 0.11 0.10 0.04 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.37 0.25 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.49 0.81 1.16 1.47 1.73 1.91 2.03 2.12 2.22 2.36 2.56 2.79 3.03 3.23 3.36 3.40 3.35 3.22 3.03 2.79 2.52 2.23 1.95 1.69 1.49 1.36 1.29 1.29 1.33 1.40 1.47 1.50 1.46 1.35 1.18 0.98 0.79 0.63 0.50 0.38 0.26 0.17 0.11 0.10 0.11 0.10 0.04 0.00 0.00 0.00 0.00 0.03 0.23 0.37 0.37 0.25 0.06 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.49 0.85 1.22 1.56 1.85 2.10 2.33 2.56 2.82 3.10 3.37 3.62 3.80 3.91 3.91 3.83 3.66 3.43 3.13 2.80 2.47 2.16 1.90 1.70 1.56 1.45 1.37 1.31 1.26 1.22 1.17 1.10 0.99 0.86 0.72 0.58 0.47 0.36 0.25 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.49 0.85 1.22 1.56 1.85 2.10 2.33 2.56 2.82 3.10 3.37 3.62 3.80 3.91 3.91 3.83 3.66 3.43 3.13 2.80 2.47 2.16 1.90 1.70 1.56 1.45 1.37 1.31 1.26 1.22 1.17 1.10 0.99 0.86 0.72 0.58 0.47 0.36 0.25 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.15 0.13 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.64 1.04 1.42 1.79 2.12 2.45 2.78 3.11 3.44 3.72 3.94 4.07 4.11 4.08 3.96 3.77 3.51 3.19 2.84 2.50 2.22 2.00 1.84 1.70 1.57 1.42 1.25 1.10 0.97 0.87 0.78 0.68 0.58 0.48 0.39 0.32 0.25 0.17 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.64 1.04 1.42 1.79 2.12 2.45 2.78 3.11 3.44 3.72 3.94 4.07 4.11 4.08 3.96 3.77 3.51 3.19 2.84 2.50 2.22 2.00 1.84 1.70 1.57 1.42 1.25 1.10 0.97 0.87 0.78 0.68 0.58 0.48 0.39 0.32 0.25 0.17 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.55 0.92 1.28 1.63 1.96 2.31 2.66 3.00 3.31 3.55 3.69 3.75 3.73 3.66 3.53 3.35 3.10 2.80 2.48 2.19 1.97 1.84 1.75 1.66 1.53 1.34 1.13 0.92 0.76 0.65 0.58 0.51 0.43 0.35 0.27 0.21 0.16 0.11 0.07 0.03 0.02 0.02 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.55 0.92 1.28 1.63 1.96 2.31 2.66 3.00 3.31 3.55 3.69 3.75 3.73 3.66 3.53 3.35 3.10 2.80 2.48 2.19 1.97 1.84 1.75 1.66 1.53 1.34 1.13 0.92 0.76 0.65 0.58 0.51 0.43 0.35 0.27 0.21 0.16 0.11 0.07 0.03 0.02 0.02 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.03 0.00 0.00 35.0 + 37.5 0.00 0.00 0.03 0.14 0.25 0.28 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.28 0.56 0.86 1.12 1.37 1.61 1.88 2.17 2.45 2.68 2.83 2.89 2.87 2.81 2.73 2.63 2.50 2.31 2.06 1.80 1.59 1.46 1.42 1.43 1.42 1.33 1.17 0.96 0.77 0.64 0.58 0.56 0.53 0.46 0.36 0.25 0.16 0.10 0.09 0.09 0.10 0.11 0.11 0.11 0.09 0.05 0.01 0.00 0.01 0.09 0.19 0.26 0.27 0.20 0.08 0.00 0.00 0.03 0.14 0.25 0.28 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.28 0.56 0.86 1.12 1.37 1.61 1.88 2.17 2.45 2.68 2.83 2.89 2.87 2.81 2.73 2.63 2.50 2.31 2.06 1.80 1.59 1.46 1.42 1.43 1.42 1.33 1.17 0.96 0.77 0.64 0.58 0.56 0.53 0.46 0.36 0.25 0.16 0.10 0.09 0.09 0.10 0.11 0.11 0.11 0.09 0.05 0.01 0.00 0.01 0.09 0.19 0.26 0.27 0.20 0.08 0.00 37.5 + 40.0 0.21 0.20 0.26 0.35 0.43 0.44 0.38 0.28 0.18 0.09 0.03 0.00 0.00 0.00 0.00 0.02 0.19 0.42 0.65 0.84 0.96 1.05 1.14 1.28 1.46 1.65 1.80 1.85 1.82 1.74 1.66 1.62 1.60 1.56 1.46 1.28 1.08 0.92 0.86 0.91 1.01 1.08 1.07 0.96 0.80 0.67 0.62 0.64 0.70 0.71 0.64 0.50 0.32 0.17 0.10 0.10 0.15 0.21 0.25 0.25 0.22 0.18 0.15 0.15 0.19 0.28 0.39 0.49 0.53 0.49 0.40 0.29 0.21 0.20 0.26 0.35 0.43 0.44 0.38 0.28 0.18 0.09 0.03 0.00 0.00 0.00 0.00 0.02 0.19 0.42 0.65 0.84 0.96 1.05 1.14 1.28 1.46 1.65 1.80 1.85 1.82 1.74 1.66 1.62 1.60 1.56 1.46 1.28 1.08 0.92 0.86 0.91 1.01 1.08 1.07 0.96 0.80 0.67 0.62 0.64 0.70 0.71 0.64 0.50 0.32 0.17 0.10 0.10 0.15 0.21 0.25 0.25 0.22 0.18 0.15 0.15 0.19 0.28 0.39 0.49 0.53 0.49 0.40 0.29 0.21 40.0 + 42.5 0.37 0.37 0.43 0.49 0.53 0.52 0.48 0.43 0.38 0.33 0.27 0.20 0.11 0.04 0.05 0.15 0.34 0.55 0.73 0.81 0.80 0.73 0.67 0.69 0.79 0.90 0.97 0.96 0.86 0.75 0.69 0.72 0.81 0.89 0.88 0.77 0.59 0.44 0.39 0.47 0.63 0.78 0.84 0.79 0.69 0.62 0.64 0.75 0.88 0.94 0.87 0.68 0.43 0.22 0.12 0.15 0.27 0.39 0.46 0.45 0.37 0.28 0.23 0.25 0.35 0.50 0.64 0.72 0.72 0.64 0.53 0.42 0.37 0.37 0.43 0.49 0.53 0.52 0.48 0.43 0.38 0.33 0.27 0.20 0.11 0.04 0.05 0.15 0.34 0.55 0.73 0.81 0.80 0.73 0.67 0.69 0.79 0.90 0.97 0.96 0.86 0.75 0.69 0.72 0.81 0.89 0.88 0.77 0.59 0.44 0.39 0.47 0.63 0.78 0.84 0.79 0.69 0.62 0.64 0.75 0.88 0.94 0.87 0.68 0.43 0.22 0.12 0.15 0.27 0.39 0.46 0.45 0.37 0.28 0.23 0.25 0.35 0.50 0.64 0.72 0.72 0.64 0.53 0.42 0.37 42.5 + 45.0 0.39 0.43 0.50 0.54 0.54 0.52 0.50 0.51 0.54 0.56 0.53 0.44 0.30 0.18 0.14 0.22 0.41 0.61 0.74 0.74 0.61 0.43 0.29 0.25 0.31 0.41 0.46 0.41 0.29 0.17 0.15 0.26 0.46 0.65 0.73 0.64 0.44 0.24 0.15 0.21 0.39 0.59 0.70 0.70 0.64 0.59 0.64 0.79 0.97 1.07 1.02 0.80 0.50 0.25 0.14 0.21 0.40 0.60 0.72 0.69 0.55 0.39 0.29 0.31 0.43 0.61 0.75 0.80 0.75 0.62 0.48 0.40 0.39 0.43 0.50 0.54 0.54 0.52 0.50 0.51 0.54 0.56 0.53 0.44 0.30 0.18 0.14 0.22 0.41 0.61 0.74 0.74 0.61 0.43 0.29 0.25 0.31 0.41 0.46 0.41 0.29 0.17 0.15 0.26 0.46 0.65 0.73 0.64 0.44 0.24 0.15 0.21 0.39 0.59 0.70 0.70 0.64 0.59 0.64 0.79 0.97 1.07 1.02 0.80 0.50 0.25 0.14 0.21 0.40 0.60 0.72 0.69 0.55 0.39 0.29 0.31 0.43 0.61 0.75 0.80 0.75 0.62 0.48 0.40 0.39 45.0 + 47.5 0.28 0.39 0.48 0.50 0.47 0.43 0.44 0.51 0.64 0.75 0.76 0.66 0.48 0.29 0.19 0.23 0.38 0.55 0.65 0.59 0.40 0.18 0.02 0.00 0.09 0.22 0.29 0.25 0.12 0.00 0.01 0.18 0.48 0.76 0.88 0.80 0.54 0.26 0.08 0.10 0.27 0.49 0.65 0.67 0.60 0.52 0.54 0.69 0.88 1.02 0.99 0.78 0.48 0.21 0.12 0.25 0.52 0.81 0.96 0.93 0.73 0.48 0.31 0.29 0.41 0.58 0.71 0.71 0.59 0.41 0.27 0.23 0.28 0.39 0.48 0.50 0.47 0.43 0.44 0.51 0.64 0.75 0.76 0.66 0.48 0.29 0.19 0.23 0.38 0.55 0.65 0.59 0.40 0.18 0.02 0.00 0.09 0.22 0.29 0.25 0.12 0.00 0.01 0.18 0.48 0.76 0.88 0.80 0.54 0.26 0.08 0.10 0.27 0.49 0.65 0.67 0.60 0.52 0.54 0.69 0.88 1.02 0.99 0.78 0.48 0.21 0.12 0.25 0.52 0.81 0.96 0.93 0.73 0.48 0.31 0.29 0.41 0.58 0.71 0.71 0.59 0.41 0.27 0.23 0.28 47.5 + 50.0 0.13 0.31 0.43 0.44 0.37 0.30 0.30 0.43 0.64 0.84 0.92 0.84 0.63 0.38 0.22 0.20 0.30 0.44 0.51 0.43 0.23 0.00 0.00 0.00 0.06 0.25 0.35 0.32 0.19 0.07 0.09 0.30 0.65 0.97 1.12 1.01 0.70 0.33 0.07 0.04 0.21 0.46 0.65 0.68 0.57 0.44 0.39 0.48 0.66 0.82 0.83 0.65 0.37 0.12 0.06 0.23 0.58 0.94 1.14 1.10 0.85 0.52 0.28 0.21 0.30 0.46 0.55 0.51 0.33 0.13 0.00 0.00 0.13 0.31 0.43 0.44 0.37 0.30 0.30 0.43 0.64 0.84 0.92 0.84 0.63 0.38 0.22 0.20 0.30 0.44 0.51 0.43 0.23 0.00 0.00 0.00 0.06 0.25 0.35 0.32 0.19 0.07 0.09 0.30 0.65 0.97 1.12 1.01 0.70 0.33 0.07 0.04 0.21 0.46 0.65 0.68 0.57 0.44 0.39 0.48 0.66 0.82 0.83 0.65 0.37 0.12 0.06 0.23 0.58 0.94 1.14 1.10 0.85 0.52 0.28 0.21 0.30 0.46 0.55 0.51 0.33 0.13 0.00 0.00 0.13 50.0 + 52.5 0.07 0.30 0.44 0.42 0.30 0.17 0.14 0.29 0.56 0.83 0.99 0.95 0.74 0.47 0.26 0.20 0.26 0.37 0.42 0.34 0.15 0.00 0.00 0.00 0.14 0.36 0.49 0.46 0.32 0.20 0.21 0.42 0.77 1.09 1.23 1.10 0.75 0.34 0.05 0.00 0.17 0.46 0.67 0.72 0.58 0.38 0.25 0.27 0.42 0.58 0.62 0.50 0.25 0.03 0.00 0.19 0.58 0.98 1.21 1.16 0.88 0.50 0.20 0.09 0.17 0.31 0.39 0.32 0.13 0.00 0.00 0.00 0.07 0.30 0.44 0.42 0.30 0.17 0.14 0.29 0.56 0.83 0.99 0.95 0.74 0.47 0.26 0.20 0.26 0.37 0.42 0.34 0.15 0.00 0.00 0.00 0.14 0.36 0.49 0.46 0.32 0.20 0.21 0.42 0.77 1.09 1.23 1.10 0.75 0.34 0.05 0.00 0.17 0.46 0.67 0.72 0.58 0.38 0.25 0.27 0.42 0.58 0.62 0.50 0.25 0.03 0.00 0.19 0.58 0.98 1.21 1.16 0.88 0.50 0.20 0.09 0.17 0.31 0.39 0.32 0.13 0.00 0.00 0.00 0.07 52.5 + 55.0 0.18 0.43 0.56 0.50 0.30 0.09 0.02 0.14 0.43 0.76 0.97 0.99 0.82 0.57 0.35 0.27 0.31 0.41 0.46 0.40 0.25 0.09 0.02 0.10 0.29 0.50 0.61 0.58 0.44 0.31 0.30 0.48 0.78 1.06 1.17 1.04 0.69 0.28 0.00 0.00 0.17 0.48 0.73 0.79 0.64 0.39 0.20 0.15 0.26 0.41 0.48 0.39 0.18 0.00 0.00 0.15 0.53 0.93 1.16 1.12 0.83 0.44 0.12 0.00 0.07 0.22 0.31 0.26 0.08 0.00 0.00 0.00 0.18 0.43 0.56 0.50 0.30 0.09 0.02 0.14 0.43 0.76 0.97 0.99 0.82 0.57 0.35 0.27 0.31 0.41 0.46 0.40 0.25 0.09 0.02 0.10 0.29 0.50 0.61 0.58 0.44 0.31 0.30 0.48 0.78 1.06 1.17 1.04 0.69 0.28 0.00 0.00 0.17 0.48 0.73 0.79 0.64 0.39 0.20 0.15 0.26 0.41 0.48 0.39 0.18 0.00 0.00 0.15 0.53 0.93 1.16 1.12 0.83 0.44 0.12 0.00 0.07 0.22 0.31 0.26 0.08 0.00 0.00 0.00 0.18 55.0 + 57.5 0.45 0.69 0.78 0.66 0.39 0.11 0.00 0.05 0.32 0.65 0.90 0.97 0.85 0.64 0.45 0.38 0.43 0.54 0.62 0.60 0.49 0.36 0.29 0.33 0.47 0.62 0.69 0.66 0.53 0.41 0.39 0.51 0.73 0.94 1.02 0.88 0.56 0.21 0.00 0.00 0.20 0.53 0.79 0.87 0.73 0.47 0.24 0.15 0.22 0.35 0.43 0.37 0.19 0.00 0.00 0.13 0.47 0.84 1.05 1.01 0.74 0.36 0.07 0.00 0.06 0.23 0.35 0.34 0.21 0.07 0.05 0.19 0.45 0.69 0.78 0.66 0.39 0.11 0.00 0.05 0.32 0.65 0.90 0.97 0.85 0.64 0.45 0.38 0.43 0.54 0.62 0.60 0.49 0.36 0.29 0.33 0.47 0.62 0.69 0.66 0.53 0.41 0.39 0.51 0.73 0.94 1.02 0.88 0.56 0.21 0.00 0.00 0.20 0.53 0.79 0.87 0.73 0.47 0.24 0.15 0.22 0.35 0.43 0.37 0.19 0.00 0.00 0.13 0.47 0.84 1.05 1.01 0.74 0.36 0.07 0.00 0.06 0.23 0.35 0.34 0.21 0.07 0.05 0.19 0.45 57.5 + 60.0 0.74 0.95 1.01 0.84 0.53 0.20 0.01 0.03 0.26 0.56 0.80 0.89 0.81 0.64 0.50 0.46 0.53 0.67 0.78 0.82 0.76 0.65 0.56 0.55 0.60 0.68 0.73 0.70 0.61 0.52 0.49 0.55 0.69 0.81 0.84 0.71 0.46 0.18 0.02 0.05 0.26 0.57 0.82 0.90 0.79 0.55 0.32 0.21 0.25 0.36 0.44 0.40 0.25 0.08 0.02 0.14 0.42 0.73 0.91 0.88 0.64 0.32 0.07 0.01 0.13 0.33 0.48 0.51 0.44 0.35 0.35 0.50 0.74 0.95 1.01 0.84 0.53 0.20 0.01 0.03 0.26 0.56 0.80 0.89 0.81 0.64 0.50 0.46 0.53 0.67 0.78 0.82 0.76 0.65 0.56 0.55 0.60 0.68 0.73 0.70 0.61 0.52 0.49 0.55 0.69 0.81 0.84 0.71 0.46 0.18 0.02 0.05 0.26 0.57 0.82 0.90 0.79 0.55 0.32 0.21 0.25 0.36 0.44 0.40 0.25 0.08 0.02 0.14 0.42 0.73 0.91 0.88 0.64 0.32 0.07 0.01 0.13 0.33 0.48 0.51 0.44 0.35 0.35 0.50 0.74 60.0 + 62.5 0.92 1.09 1.11 0.94 0.62 0.30 0.09 0.08 0.25 0.49 0.69 0.76 0.69 0.56 0.44 0.42 0.51 0.67 0.82 0.90 0.88 0.80 0.69 0.61 0.60 0.62 0.66 0.66 0.63 0.59 0.56 0.57 0.63 0.67 0.66 0.55 0.37 0.18 0.07 0.11 0.30 0.56 0.78 0.86 0.77 0.58 0.38 0.28 0.30 0.40 0.47 0.45 0.34 0.19 0.12 0.20 0.40 0.64 0.79 0.76 0.57 0.31 0.13 0.11 0.25 0.46 0.62 0.67 0.62 0.56 0.57 0.71 0.92 1.09 1.11 0.94 0.62 0.30 0.09 0.08 0.25 0.49 0.69 0.76 0.69 0.56 0.44 0.42 0.51 0.67 0.82 0.90 0.88 0.80 0.69 0.61 0.60 0.62 0.66 0.66 0.63 0.59 0.56 0.57 0.63 0.67 0.66 0.55 0.37 0.18 0.07 0.11 0.30 0.56 0.78 0.86 0.77 0.58 0.38 0.28 0.30 0.40 0.47 0.45 0.34 0.19 0.12 0.20 0.40 0.64 0.79 0.76 0.57 0.31 0.13 0.11 0.25 0.46 0.62 0.67 0.62 0.56 0.57 0.71 0.92 62.5 + 65.0 0.88 1.01 1.02 0.87 0.61 0.34 0.17 0.15 0.27 0.45 0.59 0.62 0.54 0.40 0.29 0.27 0.35 0.50 0.67 0.77 0.78 0.70 0.58 0.46 0.40 0.40 0.45 0.51 0.54 0.54 0.51 0.49 0.48 0.48 0.46 0.39 0.28 0.17 0.11 0.15 0.30 0.51 0.69 0.78 0.74 0.61 0.47 0.40 0.43 0.52 0.60 0.61 0.52 0.39 0.31 0.33 0.47 0.63 0.73 0.70 0.55 0.36 0.23 0.24 0.38 0.57 0.72 0.75 0.69 0.62 0.61 0.71 0.88 1.01 1.02 0.87 0.61 0.34 0.17 0.15 0.27 0.45 0.59 0.62 0.54 0.40 0.29 0.27 0.35 0.50 0.67 0.77 0.78 0.70 0.58 0.46 0.40 0.40 0.45 0.51 0.54 0.54 0.51 0.49 0.48 0.48 0.46 0.39 0.28 0.17 0.11 0.15 0.30 0.51 0.69 0.78 0.74 0.61 0.47 0.40 0.43 0.52 0.60 0.61 0.52 0.39 0.31 0.33 0.47 0.63 0.73 0.70 0.55 0.36 0.23 0.24 0.38 0.57 0.72 0.75 0.69 0.62 0.61 0.71 0.88 65.0 + 67.5 0.66 0.76 0.78 0.68 0.49 0.31 0.20 0.20 0.30 0.43 0.52 0.52 0.42 0.27 0.13 0.08 0.13 0.25 0.40 0.51 0.52 0.44 0.29 0.15 0.07 0.08 0.16 0.26 0.34 0.36 0.33 0.29 0.25 0.24 0.25 0.25 0.22 0.18 0.16 0.20 0.32 0.50 0.68 0.80 0.82 0.78 0.72 0.71 0.78 0.90 1.00 1.02 0.94 0.80 0.68 0.63 0.67 0.75 0.80 0.75 0.61 0.46 0.37 0.40 0.52 0.68 0.77 0.76 0.66 0.55 0.50 0.55 0.66 0.76 0.78 0.68 0.49 0.31 0.20 0.20 0.30 0.43 0.52 0.52 0.42 0.27 0.13 0.08 0.13 0.25 0.40 0.51 0.52 0.44 0.29 0.15 0.07 0.08 0.16 0.26 0.34 0.36 0.33 0.29 0.25 0.24 0.25 0.25 0.22 0.18 0.16 0.20 0.32 0.50 0.68 0.80 0.82 0.78 0.72 0.71 0.78 0.90 1.00 1.02 0.94 0.80 0.68 0.63 0.67 0.75 0.80 0.75 0.61 0.46 0.37 0.40 0.52 0.68 0.77 0.76 0.66 0.55 0.50 0.55 0.66 67.5 + 70.0 0.41 0.48 0.50 0.44 0.33 0.23 0.18 0.22 0.32 0.44 0.51 0.50 0.39 0.24 0.08 0.00 0.00 0.08 0.21 0.30 0.30 0.21 0.04 0.00 0.00 0.00 0.00 0.06 0.16 0.17 0.13 0.06 0.04 0.07 0.15 0.23 0.29 0.30 0.31 0.36 0.49 0.68 0.90 1.09 1.21 1.26 1.30 1.38 1.51 1.68 1.80 1.83 1.72 1.52 1.31 1.15 1.08 1.06 1.03 0.94 0.80 0.65 0.57 0.59 0.69 0.80 0.84 0.77 0.62 0.46 0.36 0.35 0.41 0.48 0.50 0.44 0.33 0.23 0.18 0.22 0.32 0.44 0.51 0.50 0.39 0.24 0.08 0.00 0.00 0.08 0.21 0.30 0.30 0.21 0.04 0.00 0.00 0.00 0.00 0.06 0.16 0.17 0.13 0.06 0.04 0.07 0.15 0.23 0.29 0.30 0.31 0.36 0.49 0.68 0.90 1.09 1.21 1.26 1.30 1.38 1.51 1.68 1.80 1.83 1.72 1.52 1.31 1.15 1.08 1.06 1.03 0.94 0.80 0.65 0.57 0.59 0.69 0.80 0.84 0.77 0.62 0.46 0.36 0.35 0.41 70.0 + 72.5 0.27 0.30 0.31 0.27 0.21 0.16 0.15 0.21 0.32 0.45 0.54 0.56 0.49 0.34 0.18 0.06 0.03 0.10 0.23 0.33 0.34 0.24 0.05 0.00 0.00 0.00 0.00 0.10 0.18 0.16 0.08 0.00 0.00 0.10 0.27 0.46 0.59 0.65 0.67 0.73 0.87 1.11 1.40 1.69 1.92 2.08 2.23 2.41 2.63 2.87 3.03 3.03 2.86 2.54 2.18 1.87 1.66 1.53 1.42 1.28 1.10 0.92 0.82 0.81 0.88 0.96 0.97 0.87 0.68 0.48 0.33 0.26 0.27 0.30 0.31 0.27 0.21 0.16 0.15 0.21 0.32 0.45 0.54 0.56 0.49 0.34 0.18 0.06 0.03 0.10 0.23 0.33 0.34 0.24 0.05 0.00 0.00 0.00 0.00 0.10 0.18 0.16 0.08 0.00 0.00 0.10 0.27 0.46 0.59 0.65 0.67 0.73 0.87 1.11 1.40 1.69 1.92 2.08 2.23 2.41 2.63 2.87 3.03 3.03 2.86 2.54 2.18 1.87 1.66 1.53 1.42 1.28 1.10 0.92 0.82 0.81 0.88 0.96 0.97 0.87 0.68 0.48 0.33 0.26 0.27 72.5 + 75.0 0.28 0.28 0.27 0.24 0.18 0.14 0.13 0.17 0.28 0.42 0.56 0.64 0.63 0.53 0.37 0.24 0.20 0.30 0.47 0.64 0.70 0.61 0.43 0.23 0.14 0.18 0.32 0.46 0.51 0.44 0.30 0.20 0.23 0.40 0.67 0.94 1.12 1.19 1.20 1.25 1.40 1.70 2.07 2.45 2.77 3.03 3.28 3.56 3.89 4.21 4.41 4.39 4.12 3.64 3.10 2.62 2.27 2.05 1.88 1.69 1.46 1.23 1.07 1.02 1.07 1.14 1.15 1.04 0.85 0.62 0.43 0.32 0.28 0.28 0.27 0.24 0.18 0.14 0.13 0.17 0.28 0.42 0.56 0.64 0.63 0.53 0.37 0.24 0.20 0.30 0.47 0.64 0.70 0.61 0.43 0.23 0.14 0.18 0.32 0.46 0.51 0.44 0.30 0.20 0.23 0.40 0.67 0.94 1.12 1.19 1.20 1.25 1.40 1.70 2.07 2.45 2.77 3.03 3.28 3.56 3.89 4.21 4.41 4.39 4.12 3.64 3.10 2.62 2.27 2.05 1.88 1.69 1.46 1.23 1.07 1.02 1.07 1.14 1.15 1.04 0.85 0.62 0.43 0.32 0.28 75.0 + 77.5 0.37 0.34 0.32 0.28 0.21 0.14 0.08 0.08 0.15 0.30 0.49 0.65 0.71 0.64 0.50 0.37 0.35 0.50 0.78 1.06 1.23 1.21 1.05 0.85 0.73 0.77 0.91 1.04 1.06 0.93 0.74 0.61 0.64 0.87 1.21 1.53 1.72 1.76 1.72 1.72 1.86 2.18 2.61 3.06 3.44 3.76 4.07 4.43 4.86 5.27 5.53 5.49 5.11 4.47 3.75 3.11 2.66 2.40 2.21 2.01 1.74 1.46 1.23 1.13 1.16 1.24 1.28 1.21 1.03 0.80 0.59 0.45 0.37 0.34 0.32 0.28 0.21 0.14 0.08 0.08 0.15 0.30 0.49 0.65 0.71 0.64 0.50 0.37 0.35 0.50 0.78 1.06 1.23 1.21 1.05 0.85 0.73 0.77 0.91 1.04 1.06 0.93 0.74 0.61 0.64 0.87 1.21 1.53 1.72 1.76 1.72 1.72 1.86 2.18 2.61 3.06 3.44 3.76 4.07 4.43 4.86 5.27 5.53 5.49 5.11 4.47 3.75 3.11 2.66 2.40 2.21 2.01 1.74 1.46 1.23 1.13 1.16 1.24 1.28 1.21 1.03 0.80 0.59 0.45 0.37 77.5 + 80.0 0.39 0.35 0.34 0.30 0.23 0.11 0.00 0.00 0.00 0.06 0.27 0.49 0.61 0.58 0.43 0.29 0.29 0.51 0.92 1.37 1.69 1.78 1.65 1.44 1.31 1.32 1.45 1.57 1.57 1.40 1.16 0.98 1.01 1.25 1.62 1.96 2.13 2.11 1.98 1.90 2.00 2.30 2.75 3.21 3.61 3.94 4.26 4.66 5.17 5.66 5.98 5.93 5.48 4.71 3.84 3.09 2.60 2.36 2.23 2.06 1.80 1.48 1.19 1.04 1.05 1.16 1.25 1.23 1.10 0.88 0.66 0.49 0.39 0.35 0.34 0.30 0.23 0.11 0.00 0.00 0.00 0.06 0.27 0.49 0.61 0.58 0.43 0.29 0.29 0.51 0.92 1.37 1.69 1.78 1.65 1.44 1.31 1.32 1.45 1.57 1.57 1.40 1.16 0.98 1.01 1.25 1.62 1.96 2.13 2.11 1.98 1.90 2.00 2.30 2.75 3.21 3.61 3.94 4.26 4.66 5.17 5.66 5.98 5.93 5.48 4.71 3.84 3.09 2.60 2.36 2.23 2.06 1.80 1.48 1.19 1.04 1.05 1.16 1.25 1.23 1.10 0.88 0.66 0.49 0.39 80.0 + 82.5 0.24 0.21 0.23 0.23 0.16 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.35 0.32 0.15 0.00 0.00 0.25 0.79 1.41 1.90 2.10 2.02 1.80 1.62 1.59 1.69 1.80 1.79 1.60 1.32 1.10 1.10 1.33 1.71 2.04 2.18 2.09 1.87 1.69 1.71 1.97 2.39 2.84 3.20 3.48 3.77 4.17 4.70 5.25 5.62 5.59 5.09 4.24 3.28 2.49 2.02 1.86 1.84 1.77 1.55 1.22 0.90 0.71 0.71 0.84 0.99 1.04 0.95 0.75 0.53 0.34 0.24 0.21 0.23 0.23 0.16 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.35 0.32 0.15 0.00 0.00 0.25 0.79 1.41 1.90 2.10 2.02 1.80 1.62 1.59 1.69 1.80 1.79 1.60 1.32 1.10 1.10 1.33 1.71 2.04 2.18 2.09 1.87 1.69 1.71 1.97 2.39 2.84 3.20 3.48 3.77 4.17 4.70 5.25 5.62 5.59 5.09 4.24 3.28 2.49 2.02 1.86 1.84 1.77 1.55 1.22 0.90 0.71 0.71 0.84 0.99 1.04 0.95 0.75 0.53 0.34 0.24 82.5 + 85.0 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.47 1.25 1.89 2.20 2.16 1.90 1.65 1.54 1.60 1.69 1.67 1.48 1.17 0.92 0.88 1.09 1.46 1.78 1.90 1.76 1.47 1.21 1.15 1.35 1.72 2.12 2.43 2.64 2.85 3.19 3.70 4.27 4.66 4.65 4.15 3.26 2.27 1.48 1.07 1.01 1.13 1.18 1.05 0.75 0.41 0.20 0.20 0.36 0.56 0.67 0.63 0.46 0.23 0.04 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.47 1.25 1.89 2.20 2.16 1.90 1.65 1.54 1.60 1.69 1.67 1.48 1.17 0.92 0.88 1.09 1.46 1.78 1.90 1.76 1.47 1.21 1.15 1.35 1.72 2.12 2.43 2.64 2.85 3.19 3.70 4.27 4.66 4.65 4.15 3.26 2.27 1.48 1.07 1.01 1.13 1.18 1.05 0.75 0.41 0.20 0.20 0.36 0.56 0.67 0.63 0.46 0.23 0.04 0.00 85.0 + 87.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.27 1.16 1.91 2.31 2.28 1.98 1.63 1.42 1.39 1.44 1.41 1.21 0.89 0.62 0.54 0.73 1.09 1.42 1.54 1.38 1.05 0.73 0.61 0.76 1.09 1.45 1.71 1.84 1.95 2.20 2.63 3.16 3.55 3.55 3.07 2.19 1.21 0.44 0.08 0.12 0.34 0.52 0.47 0.21 0.00 0.00 0.00 0.00 0.09 0.26 0.27 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.27 1.16 1.91 2.31 2.28 1.98 1.63 1.42 1.39 1.44 1.41 1.21 0.89 0.62 0.54 0.73 1.09 1.42 1.54 1.38 1.05 0.73 0.61 0.76 1.09 1.45 1.71 1.84 1.95 2.20 2.63 3.16 3.55 3.55 3.07 2.19 1.21 0.44 0.08 0.12 0.34 0.52 0.47 0.21 0.00 0.00 0.00 0.00 0.09 0.26 0.27 0.13 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 90.0 + + 55.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.81 ) PHI2 = 55. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.0 + 2.5 0.27 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.77 2.02 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.77 2.02 2.20 2.28 2.24 2.08 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.38 0.34 0.24 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 2.5 + 5.0 0.41 0.43 0.39 0.33 0.31 0.37 0.50 0.68 0.89 1.14 1.41 1.71 2.02 2.27 2.41 2.41 2.28 2.05 1.78 1.52 1.27 1.03 0.82 0.64 0.52 0.46 0.44 0.42 0.33 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.54 0.63 0.79 0.99 1.22 1.47 1.73 1.98 2.18 2.30 2.29 2.17 1.94 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.47 0.50 0.44 0.29 0.10 0.00 0.00 0.00 0.11 0.29 0.41 0.43 0.39 0.33 0.31 0.37 0.50 0.68 0.89 1.14 1.41 1.71 2.02 2.27 2.41 2.41 2.28 2.05 1.78 1.52 1.27 1.03 0.82 0.64 0.52 0.46 0.44 0.42 0.33 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.35 0.46 0.50 0.51 0.54 0.63 0.79 0.99 1.22 1.47 1.73 1.98 2.18 2.30 2.29 2.17 1.94 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.47 0.50 0.44 0.29 0.10 0.00 0.00 0.00 0.11 0.29 0.41 5.0 + 7.5 0.61 0.57 0.46 0.35 0.28 0.30 0.39 0.54 0.74 0.98 1.29 1.64 2.00 2.33 2.55 2.61 2.53 2.32 2.04 1.76 1.50 1.26 1.06 0.89 0.77 0.71 0.70 0.68 0.63 0.51 0.35 0.19 0.11 0.13 0.27 0.45 0.62 0.72 0.75 0.75 0.75 0.81 0.93 1.11 1.35 1.62 1.90 2.15 2.33 2.39 2.32 2.14 1.86 1.56 1.25 0.97 0.73 0.54 0.40 0.36 0.40 0.50 0.62 0.69 0.67 0.57 0.42 0.30 0.27 0.33 0.45 0.56 0.61 0.57 0.46 0.35 0.28 0.30 0.39 0.54 0.74 0.98 1.29 1.64 2.00 2.33 2.55 2.61 2.53 2.32 2.04 1.76 1.50 1.26 1.06 0.89 0.77 0.71 0.70 0.68 0.63 0.51 0.35 0.19 0.11 0.13 0.27 0.45 0.62 0.72 0.75 0.75 0.75 0.81 0.93 1.11 1.35 1.62 1.90 2.15 2.33 2.39 2.32 2.14 1.86 1.56 1.25 0.97 0.73 0.54 0.40 0.36 0.40 0.50 0.62 0.69 0.67 0.57 0.42 0.30 0.27 0.33 0.45 0.56 0.61 7.5 + 10.0 0.84 0.75 0.61 0.47 0.37 0.34 0.39 0.50 0.66 0.88 1.18 1.54 1.95 2.33 2.63 2.77 2.75 2.59 2.35 2.08 1.84 1.64 1.47 1.33 1.23 1.19 1.18 1.19 1.17 1.09 0.96 0.82 0.72 0.71 0.79 0.93 1.07 1.15 1.16 1.13 1.08 1.08 1.14 1.29 1.52 1.79 2.07 2.30 2.43 2.43 2.30 2.07 1.78 1.47 1.18 0.91 0.69 0.53 0.44 0.45 0.54 0.70 0.84 0.92 0.92 0.83 0.72 0.65 0.64 0.71 0.80 0.85 0.84 0.75 0.61 0.47 0.37 0.34 0.39 0.50 0.66 0.88 1.18 1.54 1.95 2.33 2.63 2.77 2.75 2.59 2.35 2.08 1.84 1.64 1.47 1.33 1.23 1.19 1.18 1.19 1.17 1.09 0.96 0.82 0.72 0.71 0.79 0.93 1.07 1.15 1.16 1.13 1.08 1.08 1.14 1.29 1.52 1.79 2.07 2.30 2.43 2.43 2.30 2.07 1.78 1.47 1.18 0.91 0.69 0.53 0.44 0.45 0.54 0.70 0.84 0.92 0.92 0.83 0.72 0.65 0.64 0.71 0.80 0.85 0.84 10.0 + 12.5 1.04 0.93 0.79 0.66 0.56 0.51 0.51 0.56 0.67 0.83 1.08 1.42 1.82 2.23 2.58 2.80 2.86 2.78 2.60 2.40 2.21 2.06 1.94 1.85 1.78 1.76 1.77 1.80 1.81 1.78 1.67 1.54 1.42 1.36 1.39 1.48 1.58 1.63 1.61 1.53 1.43 1.36 1.37 1.48 1.68 1.93 2.19 2.38 2.45 2.39 2.21 1.95 1.67 1.40 1.16 0.94 0.77 0.64 0.60 0.65 0.78 0.94 1.07 1.12 1.09 1.01 0.94 0.90 0.93 1.00 1.06 1.08 1.04 0.93 0.79 0.66 0.56 0.51 0.51 0.56 0.67 0.83 1.08 1.42 1.82 2.23 2.58 2.80 2.86 2.78 2.60 2.40 2.21 2.06 1.94 1.85 1.78 1.76 1.77 1.80 1.81 1.78 1.67 1.54 1.42 1.36 1.39 1.48 1.58 1.63 1.61 1.53 1.43 1.36 1.37 1.48 1.68 1.93 2.19 2.38 2.45 2.39 2.21 1.95 1.67 1.40 1.16 0.94 0.77 0.64 0.60 0.65 0.78 0.94 1.07 1.12 1.09 1.01 0.94 0.90 0.93 1.00 1.06 1.08 1.04 12.5 + 15.0 1.14 1.03 0.92 0.82 0.74 0.68 0.66 0.66 0.70 0.79 0.97 1.24 1.59 1.99 2.36 2.65 2.80 2.81 2.73 2.61 2.49 2.39 2.31 2.24 2.20 2.19 2.22 2.28 2.32 2.32 2.24 2.11 1.97 1.88 1.87 1.91 1.97 1.99 1.93 1.81 1.66 1.54 1.51 1.59 1.77 2.01 2.23 2.38 2.39 2.27 2.05 1.79 1.54 1.33 1.15 1.00 0.88 0.80 0.80 0.87 0.99 1.12 1.20 1.20 1.14 1.06 1.01 1.02 1.08 1.16 1.20 1.20 1.14 1.03 0.92 0.82 0.74 0.68 0.66 0.66 0.70 0.79 0.97 1.24 1.59 1.99 2.36 2.65 2.80 2.81 2.73 2.61 2.49 2.39 2.31 2.24 2.20 2.19 2.22 2.28 2.32 2.32 2.24 2.11 1.97 1.88 1.87 1.91 1.97 1.99 1.93 1.81 1.66 1.54 1.51 1.59 1.77 2.01 2.23 2.38 2.39 2.27 2.05 1.79 1.54 1.33 1.15 1.00 0.88 0.80 0.80 0.87 0.99 1.12 1.20 1.20 1.14 1.06 1.01 1.02 1.08 1.16 1.20 1.20 1.14 15.0 + 17.5 1.09 1.00 0.91 0.85 0.80 0.75 0.70 0.67 0.65 0.68 0.79 0.98 1.27 1.62 1.99 2.32 2.54 2.66 2.68 2.64 2.58 2.51 2.44 2.38 2.33 2.33 2.37 2.46 2.53 2.56 2.50 2.38 2.24 2.13 2.09 2.09 2.11 2.08 1.99 1.84 1.67 1.54 1.51 1.59 1.77 2.00 2.20 2.31 2.27 2.11 1.87 1.61 1.39 1.22 1.10 1.00 0.92 0.88 0.89 0.97 1.07 1.15 1.17 1.11 1.02 0.95 0.94 1.00 1.10 1.18 1.21 1.17 1.09 1.00 0.91 0.85 0.80 0.75 0.70 0.67 0.65 0.68 0.79 0.98 1.27 1.62 1.99 2.32 2.54 2.66 2.68 2.64 2.58 2.51 2.44 2.38 2.33 2.33 2.37 2.46 2.53 2.56 2.50 2.38 2.24 2.13 2.09 2.09 2.11 2.08 1.99 1.84 1.67 1.54 1.51 1.59 1.77 2.00 2.20 2.31 2.27 2.11 1.87 1.61 1.39 1.22 1.10 1.00 0.92 0.88 0.89 0.97 1.07 1.15 1.17 1.11 1.02 0.95 0.94 1.00 1.10 1.18 1.21 1.17 1.09 17.5 + 20.0 0.90 0.80 0.73 0.70 0.67 0.63 0.58 0.52 0.48 0.48 0.53 0.66 0.88 1.17 1.51 1.85 2.14 2.34 2.45 2.49 2.47 2.42 2.34 2.26 2.21 2.21 2.27 2.38 2.49 2.55 2.52 2.42 2.29 2.16 2.09 2.05 2.01 1.94 1.81 1.64 1.48 1.38 1.38 1.49 1.69 1.92 2.11 2.19 2.12 1.93 1.68 1.42 1.22 1.07 0.98 0.90 0.84 0.81 0.83 0.89 0.96 0.99 0.95 0.86 0.76 0.72 0.76 0.88 1.01 1.09 1.09 1.01 0.90 0.80 0.73 0.70 0.67 0.63 0.58 0.52 0.48 0.48 0.53 0.66 0.88 1.17 1.51 1.85 2.14 2.34 2.45 2.49 2.47 2.42 2.34 2.26 2.21 2.21 2.27 2.38 2.49 2.55 2.52 2.42 2.29 2.16 2.09 2.05 2.01 1.94 1.81 1.64 1.48 1.38 1.38 1.49 1.69 1.92 2.11 2.19 2.12 1.93 1.68 1.42 1.22 1.07 0.98 0.90 0.84 0.81 0.83 0.89 0.96 0.99 0.95 0.86 0.76 0.72 0.76 0.88 1.01 1.09 1.09 1.01 0.90 20.0 + 22.5 0.60 0.49 0.43 0.41 0.40 0.36 0.31 0.25 0.21 0.20 0.23 0.32 0.48 0.71 1.01 1.34 1.66 1.93 2.13 2.24 2.27 2.24 2.17 2.09 2.05 2.08 2.17 2.31 2.46 2.54 2.54 2.45 2.32 2.18 2.06 1.97 1.86 1.73 1.56 1.39 1.25 1.18 1.22 1.36 1.57 1.80 1.96 2.02 1.94 1.75 1.50 1.25 1.05 0.91 0.80 0.71 0.64 0.61 0.62 0.66 0.70 0.70 0.62 0.51 0.42 0.42 0.53 0.70 0.85 0.92 0.87 0.75 0.60 0.49 0.43 0.41 0.40 0.36 0.31 0.25 0.21 0.20 0.23 0.32 0.48 0.71 1.01 1.34 1.66 1.93 2.13 2.24 2.27 2.24 2.17 2.09 2.05 2.08 2.17 2.31 2.46 2.54 2.54 2.45 2.32 2.18 2.06 1.97 1.86 1.73 1.56 1.39 1.25 1.18 1.22 1.36 1.57 1.80 1.96 2.02 1.94 1.75 1.50 1.25 1.05 0.91 0.80 0.71 0.64 0.61 0.62 0.66 0.70 0.70 0.62 0.51 0.42 0.42 0.53 0.70 0.85 0.92 0.87 0.75 0.60 22.5 + 25.0 0.26 0.15 0.10 0.10 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.54 0.85 1.18 1.51 1.79 1.98 2.09 2.13 2.11 2.09 2.11 2.19 2.34 2.52 2.69 2.78 2.79 2.70 2.55 2.38 2.21 2.03 1.84 1.63 1.42 1.24 1.12 1.08 1.14 1.27 1.45 1.63 1.76 1.79 1.71 1.53 1.31 1.09 0.90 0.75 0.63 0.51 0.42 0.37 0.37 0.40 0.42 0.38 0.28 0.16 0.09 0.13 0.28 0.49 0.65 0.70 0.61 0.44 0.26 0.15 0.10 0.10 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.54 0.85 1.18 1.51 1.79 1.98 2.09 2.13 2.11 2.09 2.11 2.19 2.34 2.52 2.69 2.78 2.79 2.70 2.55 2.38 2.21 2.03 1.84 1.63 1.42 1.24 1.12 1.08 1.14 1.27 1.45 1.63 1.76 1.79 1.71 1.53 1.31 1.09 0.90 0.75 0.63 0.51 0.42 0.37 0.37 0.40 0.42 0.38 0.28 0.16 0.09 0.13 0.28 0.49 0.65 0.70 0.61 0.44 0.26 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.78 1.15 1.50 1.80 2.02 2.16 2.26 2.35 2.48 2.66 2.87 3.08 3.25 3.33 3.31 3.20 3.02 2.79 2.54 2.27 1.99 1.72 1.48 1.30 1.18 1.14 1.16 1.23 1.33 1.43 1.49 1.48 1.40 1.26 1.08 0.91 0.75 0.61 0.48 0.35 0.25 0.19 0.17 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.07 0.28 0.43 0.45 0.33 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.78 1.15 1.50 1.80 2.02 2.16 2.26 2.35 2.48 2.66 2.87 3.08 3.25 3.33 3.31 3.20 3.02 2.79 2.54 2.27 1.99 1.72 1.48 1.30 1.18 1.14 1.16 1.23 1.33 1.43 1.49 1.48 1.40 1.26 1.08 0.91 0.75 0.61 0.48 0.35 0.25 0.19 0.17 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.07 0.28 0.43 0.45 0.33 0.14 0.00 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.49 0.88 1.30 1.69 2.02 2.29 2.53 2.76 3.01 3.28 3.54 3.76 3.90 3.94 3.87 3.72 3.49 3.21 2.89 2.55 2.21 1.90 1.65 1.47 1.36 1.29 1.25 1.22 1.20 1.18 1.16 1.12 1.05 0.94 0.82 0.70 0.59 0.48 0.37 0.26 0.16 0.10 0.09 0.10 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.23 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.49 0.88 1.30 1.69 2.02 2.29 2.53 2.76 3.01 3.28 3.54 3.76 3.90 3.94 3.87 3.72 3.49 3.21 2.89 2.55 2.21 1.90 1.65 1.47 1.36 1.29 1.25 1.22 1.20 1.18 1.16 1.12 1.05 0.94 0.82 0.70 0.59 0.48 0.37 0.26 0.16 0.10 0.09 0.10 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.23 0.22 0.09 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.32 0.72 1.16 1.60 2.00 2.36 2.70 3.03 3.38 3.70 3.98 4.17 4.26 4.23 4.11 3.91 3.65 3.34 2.98 2.61 2.25 1.96 1.74 1.60 1.50 1.41 1.30 1.16 1.03 0.92 0.84 0.77 0.71 0.64 0.57 0.49 0.42 0.36 0.29 0.21 0.14 0.10 0.09 0.10 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.32 0.72 1.16 1.60 2.00 2.36 2.70 3.03 3.38 3.70 3.98 4.17 4.26 4.23 4.11 3.91 3.65 3.34 2.98 2.61 2.25 1.96 1.74 1.60 1.50 1.41 1.30 1.16 1.03 0.92 0.84 0.77 0.71 0.64 0.57 0.49 0.42 0.36 0.29 0.21 0.14 0.10 0.09 0.10 0.08 0.01 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.08 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.01 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.28 0.65 1.07 1.48 1.87 2.23 2.59 2.95 3.30 3.63 3.87 4.00 4.01 3.92 3.76 3.55 3.30 3.00 2.66 2.31 2.00 1.76 1.62 1.54 1.49 1.40 1.24 1.04 0.84 0.68 0.58 0.53 0.50 0.45 0.40 0.34 0.29 0.25 0.22 0.18 0.16 0.14 0.14 0.13 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.11 0.05 0.00 0.00 0.00 0.00 0.00 0.01 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.28 0.65 1.07 1.48 1.87 2.23 2.59 2.95 3.30 3.63 3.87 4.00 4.01 3.92 3.76 3.55 3.30 3.00 2.66 2.31 2.00 1.76 1.62 1.54 1.49 1.40 1.24 1.04 0.84 0.68 0.58 0.53 0.50 0.45 0.40 0.34 0.29 0.25 0.22 0.18 0.16 0.14 0.14 0.13 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.07 0.11 0.05 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.06 0.17 0.21 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.65 0.99 1.31 1.59 1.86 2.14 2.43 2.73 2.99 3.15 3.20 3.14 3.01 2.86 2.69 2.51 2.28 2.01 1.72 1.47 1.32 1.27 1.28 1.29 1.24 1.09 0.88 0.68 0.54 0.47 0.46 0.46 0.43 0.37 0.28 0.21 0.18 0.17 0.18 0.20 0.21 0.21 0.19 0.14 0.07 0.01 0.00 0.00 0.06 0.15 0.22 0.21 0.12 0.00 0.00 0.00 0.00 0.06 0.17 0.21 0.15 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.65 0.99 1.31 1.59 1.86 2.14 2.43 2.73 2.99 3.15 3.20 3.14 3.01 2.86 2.69 2.51 2.28 2.01 1.72 1.47 1.32 1.27 1.28 1.29 1.24 1.09 0.88 0.68 0.54 0.47 0.46 0.46 0.43 0.37 0.28 0.21 0.18 0.17 0.18 0.20 0.21 0.21 0.19 0.14 0.07 0.01 0.00 0.00 0.06 0.15 0.22 0.21 0.12 0.00 0.00 0.00 37.5 + 40.0 0.01 0.09 0.21 0.30 0.33 0.28 0.19 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.43 0.68 0.91 1.08 1.21 1.32 1.46 1.65 1.85 2.02 2.09 2.06 1.95 1.82 1.72 1.64 1.57 1.45 1.28 1.07 0.89 0.80 0.82 0.92 1.00 1.01 0.91 0.74 0.58 0.50 0.50 0.55 0.60 0.57 0.48 0.34 0.22 0.15 0.16 0.22 0.29 0.33 0.32 0.26 0.18 0.10 0.07 0.09 0.17 0.28 0.38 0.41 0.37 0.25 0.12 0.02 0.01 0.09 0.21 0.30 0.33 0.28 0.19 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.06 0.21 0.43 0.68 0.91 1.08 1.21 1.32 1.46 1.65 1.85 2.02 2.09 2.06 1.95 1.82 1.72 1.64 1.57 1.45 1.28 1.07 0.89 0.80 0.82 0.92 1.00 1.01 0.91 0.74 0.58 0.50 0.50 0.55 0.60 0.57 0.48 0.34 0.22 0.15 0.16 0.22 0.29 0.33 0.32 0.26 0.18 0.10 0.07 0.09 0.17 0.28 0.38 0.41 0.37 0.25 0.12 0.02 0.01 40.0 + 42.5 0.14 0.22 0.32 0.39 0.40 0.36 0.31 0.27 0.24 0.23 0.21 0.17 0.12 0.11 0.17 0.32 0.51 0.70 0.81 0.84 0.80 0.76 0.77 0.86 0.98 1.07 1.09 1.00 0.87 0.76 0.73 0.78 0.85 0.86 0.78 0.62 0.47 0.40 0.45 0.58 0.73 0.80 0.77 0.66 0.56 0.53 0.59 0.71 0.80 0.79 0.66 0.46 0.27 0.18 0.19 0.30 0.42 0.49 0.48 0.38 0.24 0.14 0.11 0.18 0.31 0.46 0.55 0.56 0.47 0.33 0.20 0.13 0.14 0.22 0.32 0.39 0.40 0.36 0.31 0.27 0.24 0.23 0.21 0.17 0.12 0.11 0.17 0.32 0.51 0.70 0.81 0.84 0.80 0.76 0.77 0.86 0.98 1.07 1.09 1.00 0.87 0.76 0.73 0.78 0.85 0.86 0.78 0.62 0.47 0.40 0.45 0.58 0.73 0.80 0.77 0.66 0.56 0.53 0.59 0.71 0.80 0.79 0.66 0.46 0.27 0.18 0.19 0.30 0.42 0.49 0.48 0.38 0.24 0.14 0.11 0.18 0.31 0.46 0.55 0.56 0.47 0.33 0.20 0.13 0.14 42.5 + 45.0 0.20 0.30 0.38 0.42 0.42 0.40 0.39 0.42 0.45 0.47 0.44 0.36 0.26 0.21 0.24 0.37 0.53 0.66 0.68 0.60 0.44 0.30 0.24 0.28 0.38 0.45 0.44 0.33 0.20 0.12 0.17 0.33 0.53 0.65 0.64 0.50 0.32 0.21 0.23 0.37 0.55 0.69 0.71 0.65 0.57 0.57 0.66 0.82 0.94 0.94 0.80 0.56 0.33 0.20 0.23 0.39 0.58 0.69 0.68 0.54 0.34 0.18 0.14 0.22 0.38 0.54 0.62 0.59 0.46 0.30 0.19 0.16 0.20 0.30 0.38 0.42 0.42 0.40 0.39 0.42 0.45 0.47 0.44 0.36 0.26 0.21 0.24 0.37 0.53 0.66 0.68 0.60 0.44 0.30 0.24 0.28 0.38 0.45 0.44 0.33 0.20 0.12 0.17 0.33 0.53 0.65 0.64 0.50 0.32 0.21 0.23 0.37 0.55 0.69 0.71 0.65 0.57 0.57 0.66 0.82 0.94 0.94 0.80 0.56 0.33 0.20 0.23 0.39 0.58 0.69 0.68 0.54 0.34 0.18 0.14 0.22 0.38 0.54 0.62 0.59 0.46 0.30 0.19 0.16 0.20 45.0 + 47.5 0.21 0.34 0.41 0.43 0.40 0.38 0.41 0.50 0.61 0.67 0.64 0.53 0.38 0.28 0.27 0.36 0.49 0.57 0.54 0.39 0.19 0.02 0.00 0.02 0.15 0.24 0.23 0.12 0.00 0.00 0.03 0.28 0.56 0.76 0.77 0.61 0.37 0.18 0.15 0.27 0.48 0.66 0.73 0.68 0.60 0.57 0.65 0.80 0.94 0.96 0.83 0.58 0.33 0.20 0.25 0.46 0.71 0.88 0.87 0.70 0.43 0.21 0.13 0.20 0.36 0.51 0.56 0.49 0.32 0.16 0.08 0.11 0.21 0.34 0.41 0.43 0.40 0.38 0.41 0.50 0.61 0.67 0.64 0.53 0.38 0.28 0.27 0.36 0.49 0.57 0.54 0.39 0.19 0.02 0.00 0.02 0.15 0.24 0.23 0.12 0.00 0.00 0.03 0.28 0.56 0.76 0.77 0.61 0.37 0.18 0.15 0.27 0.48 0.66 0.73 0.68 0.60 0.57 0.65 0.80 0.94 0.96 0.83 0.58 0.33 0.20 0.25 0.46 0.71 0.88 0.87 0.70 0.43 0.21 0.13 0.20 0.36 0.51 0.56 0.49 0.32 0.16 0.08 0.11 0.21 47.5 + 50.0 0.22 0.38 0.45 0.42 0.35 0.31 0.37 0.51 0.68 0.79 0.79 0.67 0.49 0.34 0.28 0.33 0.43 0.48 0.43 0.27 0.07 0.00 0.00 0.04 0.21 0.33 0.33 0.22 0.07 0.02 0.14 0.42 0.74 0.96 0.98 0.78 0.47 0.21 0.12 0.23 0.47 0.69 0.80 0.76 0.64 0.54 0.56 0.67 0.81 0.86 0.76 0.53 0.28 0.14 0.21 0.46 0.77 0.99 1.00 0.81 0.50 0.22 0.09 0.13 0.28 0.41 0.43 0.32 0.14 0.00 0.00 0.05 0.22 0.38 0.45 0.42 0.35 0.31 0.37 0.51 0.68 0.79 0.79 0.67 0.49 0.34 0.28 0.33 0.43 0.48 0.43 0.27 0.07 0.00 0.00 0.04 0.21 0.33 0.33 0.22 0.07 0.02 0.14 0.42 0.74 0.96 0.98 0.78 0.47 0.21 0.12 0.23 0.47 0.69 0.80 0.76 0.64 0.54 0.56 0.67 0.81 0.86 0.76 0.53 0.28 0.14 0.21 0.46 0.77 0.99 1.00 0.81 0.50 0.22 0.09 0.13 0.28 0.41 0.43 0.32 0.14 0.00 0.00 0.05 0.22 50.0 + 52.5 0.30 0.47 0.52 0.45 0.31 0.22 0.26 0.42 0.65 0.82 0.86 0.77 0.59 0.42 0.33 0.35 0.42 0.46 0.41 0.28 0.12 0.02 0.06 0.21 0.41 0.55 0.55 0.43 0.27 0.20 0.29 0.55 0.86 1.07 1.07 0.84 0.50 0.21 0.10 0.21 0.48 0.75 0.89 0.86 0.70 0.53 0.46 0.52 0.65 0.72 0.65 0.44 0.20 0.06 0.13 0.40 0.74 0.99 1.03 0.84 0.51 0.20 0.04 0.06 0.19 0.31 0.32 0.20 0.02 0.00 0.00 0.08 0.30 0.47 0.52 0.45 0.31 0.22 0.26 0.42 0.65 0.82 0.86 0.77 0.59 0.42 0.33 0.35 0.42 0.46 0.41 0.28 0.12 0.02 0.06 0.21 0.41 0.55 0.55 0.43 0.27 0.20 0.29 0.55 0.86 1.07 1.07 0.84 0.50 0.21 0.10 0.21 0.48 0.75 0.89 0.86 0.70 0.53 0.46 0.52 0.65 0.72 0.65 0.44 0.20 0.06 0.13 0.40 0.74 0.99 1.03 0.84 0.51 0.20 0.04 0.06 0.19 0.31 0.32 0.20 0.02 0.00 0.00 0.08 0.30 52.5 + 55.0 0.48 0.65 0.66 0.51 0.30 0.14 0.13 0.29 0.53 0.75 0.85 0.81 0.66 0.51 0.42 0.43 0.49 0.53 0.51 0.42 0.31 0.26 0.31 0.46 0.64 0.75 0.73 0.60 0.43 0.34 0.40 0.60 0.85 1.02 0.99 0.76 0.43 0.15 0.05 0.20 0.50 0.81 0.99 0.97 0.78 0.56 0.43 0.44 0.53 0.61 0.56 0.39 0.16 0.02 0.06 0.31 0.65 0.91 0.97 0.80 0.48 0.17 0.01 0.03 0.16 0.29 0.31 0.21 0.06 0.00 0.03 0.23 0.48 0.65 0.66 0.51 0.30 0.14 0.13 0.29 0.53 0.75 0.85 0.81 0.66 0.51 0.42 0.43 0.49 0.53 0.51 0.42 0.31 0.26 0.31 0.46 0.64 0.75 0.73 0.60 0.43 0.34 0.40 0.60 0.85 1.02 0.99 0.76 0.43 0.15 0.05 0.20 0.50 0.81 0.99 0.97 0.78 0.56 0.43 0.44 0.53 0.61 0.56 0.39 0.16 0.02 0.06 0.31 0.65 0.91 0.97 0.80 0.48 0.17 0.01 0.03 0.16 0.29 0.31 0.21 0.06 0.00 0.03 0.23 0.48 55.0 + 57.5 0.72 0.86 0.82 0.61 0.33 0.10 0.04 0.16 0.40 0.63 0.78 0.78 0.69 0.58 0.51 0.53 0.60 0.67 0.69 0.65 0.59 0.55 0.59 0.69 0.80 0.86 0.83 0.70 0.55 0.45 0.47 0.60 0.76 0.86 0.81 0.60 0.31 0.08 0.02 0.19 0.51 0.85 1.05 1.04 0.86 0.63 0.46 0.43 0.50 0.57 0.55 0.40 0.19 0.04 0.06 0.26 0.56 0.81 0.88 0.74 0.46 0.19 0.05 0.08 0.23 0.38 0.43 0.36 0.25 0.20 0.28 0.49 0.72 0.86 0.82 0.61 0.33 0.10 0.04 0.16 0.40 0.63 0.78 0.78 0.69 0.58 0.51 0.53 0.60 0.67 0.69 0.65 0.59 0.55 0.59 0.69 0.80 0.86 0.83 0.70 0.55 0.45 0.47 0.60 0.76 0.86 0.81 0.60 0.31 0.08 0.02 0.19 0.51 0.85 1.05 1.04 0.86 0.63 0.46 0.43 0.50 0.57 0.55 0.40 0.19 0.04 0.06 0.26 0.56 0.81 0.88 0.74 0.46 0.19 0.05 0.08 0.23 0.38 0.43 0.36 0.25 0.20 0.28 0.49 0.72 57.5 + 60.0 0.94 1.04 0.96 0.71 0.38 0.11 0.00 0.08 0.28 0.50 0.65 0.69 0.64 0.57 0.54 0.58 0.67 0.77 0.84 0.86 0.83 0.80 0.79 0.82 0.85 0.87 0.83 0.74 0.63 0.55 0.54 0.59 0.66 0.69 0.62 0.43 0.21 0.03 0.02 0.19 0.49 0.81 1.02 1.04 0.89 0.68 0.52 0.48 0.53 0.61 0.61 0.50 0.31 0.17 0.16 0.31 0.56 0.77 0.83 0.71 0.48 0.25 0.15 0.21 0.37 0.54 0.61 0.58 0.50 0.46 0.55 0.74 0.94 1.04 0.96 0.71 0.38 0.11 0.00 0.08 0.28 0.50 0.65 0.69 0.64 0.57 0.54 0.58 0.67 0.77 0.84 0.86 0.83 0.80 0.79 0.82 0.85 0.87 0.83 0.74 0.63 0.55 0.54 0.59 0.66 0.69 0.62 0.43 0.21 0.03 0.02 0.19 0.49 0.81 1.02 1.04 0.89 0.68 0.52 0.48 0.53 0.61 0.61 0.50 0.31 0.17 0.16 0.31 0.56 0.77 0.83 0.71 0.48 0.25 0.15 0.21 0.37 0.54 0.61 0.58 0.50 0.46 0.55 0.74 0.94 60.0 + 62.5 1.02 1.09 0.99 0.74 0.43 0.16 0.03 0.06 0.21 0.38 0.51 0.55 0.52 0.47 0.45 0.50 0.61 0.73 0.84 0.91 0.91 0.88 0.83 0.78 0.75 0.74 0.73 0.70 0.66 0.61 0.58 0.57 0.56 0.53 0.44 0.29 0.13 0.01 0.01 0.16 0.42 0.69 0.89 0.94 0.85 0.70 0.59 0.56 0.63 0.72 0.75 0.68 0.55 0.43 0.40 0.50 0.67 0.82 0.86 0.75 0.56 0.37 0.30 0.38 0.55 0.71 0.79 0.77 0.69 0.65 0.71 0.86 1.02 1.09 0.99 0.74 0.43 0.16 0.03 0.06 0.21 0.38 0.51 0.55 0.52 0.47 0.45 0.50 0.61 0.73 0.84 0.91 0.91 0.88 0.83 0.78 0.75 0.74 0.73 0.70 0.66 0.61 0.58 0.57 0.56 0.53 0.44 0.29 0.13 0.01 0.01 0.16 0.42 0.69 0.89 0.94 0.85 0.70 0.59 0.56 0.63 0.72 0.75 0.68 0.55 0.43 0.40 0.50 0.67 0.82 0.86 0.75 0.56 0.37 0.30 0.38 0.55 0.71 0.79 0.77 0.69 0.65 0.71 0.86 1.02 62.5 + 65.0 0.91 0.96 0.88 0.68 0.42 0.20 0.08 0.09 0.19 0.32 0.40 0.41 0.37 0.31 0.28 0.32 0.41 0.54 0.67 0.76 0.78 0.74 0.65 0.55 0.49 0.48 0.51 0.55 0.58 0.57 0.53 0.47 0.40 0.34 0.26 0.16 0.06 0.00 0.00 0.11 0.31 0.54 0.74 0.83 0.83 0.77 0.73 0.75 0.85 0.97 1.05 1.04 0.95 0.85 0.80 0.83 0.92 1.00 0.98 0.87 0.68 0.53 0.48 0.55 0.71 0.85 0.90 0.85 0.75 0.68 0.70 0.79 0.91 0.96 0.88 0.68 0.42 0.20 0.08 0.09 0.19 0.32 0.40 0.41 0.37 0.31 0.28 0.32 0.41 0.54 0.67 0.76 0.78 0.74 0.65 0.55 0.49 0.48 0.51 0.55 0.58 0.57 0.53 0.47 0.40 0.34 0.26 0.16 0.06 0.00 0.00 0.11 0.31 0.54 0.74 0.83 0.83 0.77 0.73 0.75 0.85 0.97 1.05 1.04 0.95 0.85 0.80 0.83 0.92 1.00 0.98 0.87 0.68 0.53 0.48 0.55 0.71 0.85 0.90 0.85 0.75 0.68 0.70 0.79 0.91 65.0 + 67.5 0.67 0.71 0.66 0.53 0.35 0.21 0.14 0.16 0.23 0.31 0.35 0.34 0.27 0.19 0.12 0.12 0.17 0.28 0.41 0.50 0.51 0.45 0.33 0.20 0.13 0.14 0.21 0.32 0.39 0.40 0.35 0.26 0.17 0.12 0.08 0.05 0.02 0.00 0.01 0.10 0.27 0.49 0.71 0.87 0.97 1.03 1.08 1.18 1.34 1.51 1.63 1.66 1.60 1.48 1.38 1.33 1.31 1.29 1.21 1.05 0.86 0.71 0.66 0.71 0.84 0.93 0.94 0.85 0.70 0.58 0.54 0.59 0.67 0.71 0.66 0.53 0.35 0.21 0.14 0.16 0.23 0.31 0.35 0.34 0.27 0.19 0.12 0.12 0.17 0.28 0.41 0.50 0.51 0.45 0.33 0.20 0.13 0.14 0.21 0.32 0.39 0.40 0.35 0.26 0.17 0.12 0.08 0.05 0.02 0.00 0.01 0.10 0.27 0.49 0.71 0.87 0.97 1.03 1.08 1.18 1.34 1.51 1.63 1.66 1.60 1.48 1.38 1.33 1.31 1.29 1.21 1.05 0.86 0.71 0.66 0.71 0.84 0.93 0.94 0.85 0.70 0.58 0.54 0.59 0.67 67.5 + 70.0 0.40 0.44 0.42 0.35 0.26 0.19 0.18 0.23 0.30 0.37 0.40 0.38 0.30 0.19 0.09 0.03 0.04 0.11 0.22 0.29 0.29 0.20 0.05 0.00 0.00 0.00 0.00 0.11 0.19 0.19 0.11 0.01 0.00 0.00 0.00 0.04 0.08 0.10 0.13 0.22 0.40 0.65 0.94 1.21 1.43 1.60 1.76 1.95 2.18 2.40 2.56 2.61 2.52 2.34 2.13 1.95 1.81 1.68 1.51 1.30 1.08 0.91 0.83 0.86 0.95 1.00 0.97 0.83 0.64 0.46 0.36 0.36 0.40 0.44 0.42 0.35 0.26 0.19 0.18 0.23 0.30 0.37 0.40 0.38 0.30 0.19 0.09 0.03 0.04 0.11 0.22 0.29 0.29 0.20 0.05 0.00 0.00 0.00 0.00 0.11 0.19 0.19 0.11 0.01 0.00 0.00 0.00 0.04 0.08 0.10 0.13 0.22 0.40 0.65 0.94 1.21 1.43 1.60 1.76 1.95 2.18 2.40 2.56 2.61 2.52 2.34 2.13 1.95 1.81 1.68 1.51 1.30 1.08 0.91 0.83 0.86 0.95 1.00 0.97 0.83 0.64 0.46 0.36 0.36 0.40 70.0 + 72.5 0.23 0.26 0.26 0.23 0.19 0.18 0.20 0.27 0.37 0.46 0.52 0.52 0.46 0.35 0.21 0.11 0.08 0.14 0.24 0.32 0.31 0.20 0.02 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.05 0.21 0.32 0.39 0.44 0.55 0.77 1.09 1.48 1.86 2.19 2.46 2.72 3.00 3.30 3.58 3.76 3.78 3.62 3.32 2.96 2.62 2.34 2.10 1.86 1.60 1.33 1.12 1.00 0.99 1.04 1.08 1.02 0.86 0.64 0.42 0.28 0.22 0.23 0.26 0.26 0.23 0.19 0.18 0.20 0.27 0.37 0.46 0.52 0.52 0.46 0.35 0.21 0.11 0.08 0.14 0.24 0.32 0.31 0.20 0.02 0.00 0.00 0.00 0.00 0.09 0.15 0.10 0.00 0.00 0.00 0.00 0.05 0.21 0.32 0.39 0.44 0.55 0.77 1.09 1.48 1.86 2.19 2.46 2.72 3.00 3.30 3.58 3.76 3.78 3.62 3.32 2.96 2.62 2.34 2.10 1.86 1.60 1.33 1.12 1.00 0.99 1.04 1.08 1.02 0.86 0.64 0.42 0.28 0.22 0.23 72.5 + 75.0 0.19 0.20 0.20 0.19 0.17 0.17 0.20 0.27 0.38 0.51 0.62 0.69 0.68 0.58 0.43 0.31 0.27 0.34 0.47 0.59 0.62 0.51 0.32 0.14 0.06 0.11 0.25 0.36 0.38 0.27 0.10 0.00 0.00 0.12 0.36 0.60 0.77 0.85 0.91 1.03 1.29 1.68 2.15 2.62 3.03 3.38 3.70 4.04 4.41 4.74 4.95 4.92 4.65 4.19 3.65 3.15 2.75 2.43 2.15 1.86 1.56 1.30 1.13 1.08 1.10 1.13 1.09 0.94 0.72 0.48 0.31 0.22 0.19 0.20 0.20 0.19 0.17 0.17 0.20 0.27 0.38 0.51 0.62 0.69 0.68 0.58 0.43 0.31 0.27 0.34 0.47 0.59 0.62 0.51 0.32 0.14 0.06 0.11 0.25 0.36 0.38 0.27 0.10 0.00 0.00 0.12 0.36 0.60 0.77 0.85 0.91 1.03 1.29 1.68 2.15 2.62 3.03 3.38 3.70 4.04 4.41 4.74 4.95 4.92 4.65 4.19 3.65 3.15 2.75 2.43 2.15 1.86 1.56 1.30 1.13 1.08 1.10 1.13 1.09 0.94 0.72 0.48 0.31 0.22 0.19 75.0 + 77.5 0.23 0.22 0.22 0.20 0.17 0.14 0.14 0.18 0.28 0.43 0.61 0.75 0.80 0.73 0.59 0.46 0.43 0.55 0.77 0.99 1.09 1.03 0.85 0.66 0.57 0.62 0.75 0.85 0.83 0.67 0.44 0.29 0.31 0.52 0.83 1.12 1.31 1.37 1.40 1.49 1.75 2.16 2.68 3.19 3.63 4.00 4.33 4.71 5.12 5.51 5.73 5.67 5.29 4.67 3.97 3.33 2.86 2.53 2.26 1.99 1.68 1.37 1.15 1.05 1.06 1.10 1.10 1.00 0.81 0.59 0.40 0.28 0.23 0.22 0.22 0.20 0.17 0.14 0.14 0.18 0.28 0.43 0.61 0.75 0.80 0.73 0.59 0.46 0.43 0.55 0.77 0.99 1.09 1.03 0.85 0.66 0.57 0.62 0.75 0.85 0.83 0.67 0.44 0.29 0.31 0.52 0.83 1.12 1.31 1.37 1.40 1.49 1.75 2.16 2.68 3.19 3.63 4.00 4.33 4.71 5.12 5.51 5.73 5.67 5.29 4.67 3.97 3.33 2.86 2.53 2.26 1.99 1.68 1.37 1.15 1.05 1.06 1.10 1.10 1.00 0.81 0.59 0.40 0.28 0.23 77.5 + 80.0 0.22 0.20 0.20 0.19 0.14 0.07 0.00 0.00 0.03 0.19 0.41 0.62 0.73 0.69 0.54 0.40 0.39 0.58 0.92 1.28 1.51 1.53 1.37 1.17 1.07 1.11 1.25 1.35 1.31 1.11 0.85 0.66 0.68 0.91 1.26 1.58 1.75 1.76 1.71 1.73 1.93 2.32 2.82 3.32 3.73 4.04 4.34 4.70 5.14 5.56 5.81 5.74 5.29 4.56 3.74 3.03 2.54 2.26 2.08 1.87 1.59 1.26 0.98 0.83 0.83 0.90 0.96 0.93 0.80 0.61 0.42 0.29 0.22 0.20 0.20 0.19 0.14 0.07 0.00 0.00 0.03 0.19 0.41 0.62 0.73 0.69 0.54 0.40 0.39 0.58 0.92 1.28 1.51 1.53 1.37 1.17 1.07 1.11 1.25 1.35 1.31 1.11 0.85 0.66 0.68 0.91 1.26 1.58 1.75 1.76 1.71 1.73 1.93 2.32 2.82 3.32 3.73 4.04 4.34 4.70 5.14 5.56 5.81 5.74 5.29 4.56 3.74 3.03 2.54 2.26 2.08 1.87 1.59 1.26 0.98 0.83 0.83 0.90 0.96 0.93 0.80 0.61 0.42 0.29 0.22 80.0 + 82.5 0.09 0.08 0.10 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.31 0.45 0.42 0.25 0.09 0.08 0.34 0.80 1.32 1.69 1.81 1.69 1.48 1.34 1.36 1.50 1.62 1.59 1.39 1.10 0.89 0.90 1.13 1.49 1.80 1.95 1.90 1.75 1.66 1.76 2.07 2.51 2.94 3.27 3.50 3.72 4.02 4.44 4.88 5.17 5.11 4.65 3.86 2.98 2.24 1.80 1.62 1.56 1.47 1.25 0.92 0.61 0.42 0.41 0.51 0.64 0.70 0.63 0.48 0.31 0.17 0.09 0.08 0.10 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.31 0.45 0.42 0.25 0.09 0.08 0.34 0.80 1.32 1.69 1.81 1.69 1.48 1.34 1.36 1.50 1.62 1.59 1.39 1.10 0.89 0.90 1.13 1.49 1.80 1.95 1.90 1.75 1.66 1.76 2.07 2.51 2.94 3.27 3.50 3.72 4.02 4.44 4.88 5.17 5.11 4.65 3.86 2.98 2.24 1.80 1.62 1.56 1.47 1.25 0.92 0.61 0.42 0.41 0.51 0.64 0.70 0.63 0.48 0.31 0.17 0.09 82.5 + 85.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.07 0.00 0.00 0.00 0.00 0.49 1.15 1.66 1.86 1.78 1.54 1.35 1.33 1.45 1.59 1.59 1.41 1.12 0.90 0.88 1.10 1.46 1.78 1.90 1.79 1.55 1.35 1.34 1.56 1.91 2.27 2.51 2.64 2.74 2.95 3.32 3.76 4.07 4.05 3.60 2.81 1.92 1.21 0.82 0.75 0.84 0.88 0.74 0.44 0.11 0.00 0.00 0.01 0.20 0.33 0.34 0.23 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.07 0.00 0.00 0.00 0.00 0.49 1.15 1.66 1.86 1.78 1.54 1.35 1.33 1.45 1.59 1.59 1.41 1.12 0.90 0.88 1.10 1.46 1.78 1.90 1.79 1.55 1.35 1.34 1.56 1.91 2.27 2.51 2.64 2.74 2.95 3.32 3.76 4.07 4.05 3.60 2.81 1.92 1.21 0.82 0.75 0.84 0.88 0.74 0.44 0.11 0.00 0.00 0.01 0.20 0.33 0.34 0.23 0.07 0.00 0.00 85.0 + 87.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 1.00 1.62 1.90 1.84 1.57 1.32 1.22 1.30 1.43 1.45 1.30 1.03 0.79 0.75 0.96 1.31 1.63 1.75 1.61 1.32 1.03 0.93 1.06 1.35 1.64 1.82 1.85 1.85 1.95 2.23 2.63 2.95 2.97 2.56 1.81 0.94 0.25 0.00 0.00 0.13 0.28 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 1.00 1.62 1.90 1.84 1.57 1.32 1.22 1.30 1.43 1.45 1.30 1.03 0.79 0.75 0.96 1.31 1.63 1.75 1.61 1.32 1.03 0.93 1.06 1.35 1.64 1.82 1.85 1.85 1.95 2.23 2.63 2.95 2.97 2.56 1.81 0.94 0.25 0.00 0.00 0.13 0.28 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 87.5 + 90.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 90.0 + + 57.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.45 ) PHI2 = 58. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.0 + 2.5 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 0.36 0.39 0.49 0.64 0.84 1.05 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.62 1.38 1.15 0.93 0.72 0.55 0.44 0.39 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.56 0.72 0.92 1.14 1.37 1.60 1.84 2.06 2.21 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.64 0.49 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 2.5 + 5.0 0.42 0.37 0.32 0.30 0.37 0.50 0.68 0.90 1.14 1.42 1.72 2.03 2.28 2.42 2.41 2.28 2.05 1.78 1.51 1.26 1.02 0.81 0.63 0.51 0.45 0.43 0.40 0.32 0.17 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.50 0.51 0.54 0.62 0.77 0.97 1.20 1.45 1.71 1.96 2.17 2.28 2.28 2.15 1.93 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.48 0.50 0.44 0.29 0.09 0.00 0.00 0.00 0.11 0.28 0.39 0.42 0.37 0.32 0.30 0.37 0.50 0.68 0.90 1.14 1.42 1.72 2.03 2.28 2.42 2.41 2.28 2.05 1.78 1.51 1.26 1.02 0.81 0.63 0.51 0.45 0.43 0.40 0.32 0.17 0.00 0.00 0.00 0.00 0.00 0.15 0.35 0.46 0.50 0.51 0.54 0.62 0.77 0.97 1.20 1.45 1.71 1.96 2.17 2.28 2.28 2.15 1.93 1.66 1.38 1.12 0.88 0.67 0.50 0.40 0.37 0.41 0.48 0.50 0.44 0.29 0.09 0.00 0.00 0.00 0.11 0.28 0.39 0.42 5.0 + 7.5 0.53 0.42 0.31 0.26 0.28 0.37 0.53 0.73 0.98 1.29 1.64 2.02 2.34 2.56 2.62 2.53 2.31 2.03 1.75 1.48 1.25 1.04 0.87 0.75 0.68 0.66 0.65 0.61 0.49 0.33 0.17 0.08 0.11 0.23 0.42 0.59 0.70 0.74 0.73 0.73 0.77 0.88 1.07 1.30 1.58 1.86 2.10 2.28 2.35 2.29 2.11 1.84 1.54 1.24 0.97 0.72 0.53 0.40 0.35 0.39 0.50 0.62 0.68 0.65 0.54 0.38 0.27 0.24 0.31 0.43 0.54 0.58 0.53 0.42 0.31 0.26 0.28 0.37 0.53 0.73 0.98 1.29 1.64 2.02 2.34 2.56 2.62 2.53 2.31 2.03 1.75 1.48 1.25 1.04 0.87 0.75 0.68 0.66 0.65 0.61 0.49 0.33 0.17 0.08 0.11 0.23 0.42 0.59 0.70 0.74 0.73 0.73 0.77 0.88 1.07 1.30 1.58 1.86 2.10 2.28 2.35 2.29 2.11 1.84 1.54 1.24 0.97 0.72 0.53 0.40 0.35 0.39 0.50 0.62 0.68 0.65 0.54 0.38 0.27 0.24 0.31 0.43 0.54 0.58 0.53 7.5 + 10.0 0.67 0.53 0.40 0.31 0.30 0.35 0.46 0.63 0.86 1.16 1.53 1.95 2.34 2.64 2.78 2.74 2.57 2.32 2.06 1.82 1.61 1.44 1.29 1.19 1.13 1.12 1.13 1.12 1.05 0.92 0.77 0.66 0.64 0.71 0.85 0.99 1.08 1.10 1.06 1.01 0.99 1.05 1.20 1.43 1.70 1.98 2.21 2.35 2.36 2.24 2.01 1.74 1.44 1.15 0.89 0.66 0.49 0.40 0.42 0.52 0.67 0.82 0.89 0.86 0.77 0.65 0.58 0.58 0.65 0.74 0.79 0.77 0.67 0.53 0.40 0.31 0.30 0.35 0.46 0.63 0.86 1.16 1.53 1.95 2.34 2.64 2.78 2.74 2.57 2.32 2.06 1.82 1.61 1.44 1.29 1.19 1.13 1.12 1.13 1.12 1.05 0.92 0.77 0.66 0.64 0.71 0.85 0.99 1.08 1.10 1.06 1.01 0.99 1.05 1.20 1.43 1.70 1.98 2.21 2.35 2.36 2.24 2.01 1.74 1.44 1.15 0.89 0.66 0.49 0.40 0.42 0.52 0.67 0.82 0.89 0.86 0.77 0.65 0.58 0.58 0.65 0.74 0.79 0.77 0.67 10.0 + 12.5 0.82 0.67 0.54 0.46 0.42 0.43 0.49 0.60 0.77 1.03 1.39 1.80 2.23 2.58 2.79 2.84 2.75 2.57 2.36 2.18 2.03 1.91 1.80 1.72 1.68 1.68 1.71 1.73 1.69 1.59 1.44 1.30 1.23 1.25 1.34 1.45 1.51 1.50 1.42 1.31 1.22 1.22 1.33 1.53 1.80 2.06 2.26 2.34 2.29 2.12 1.88 1.61 1.36 1.12 0.90 0.71 0.58 0.54 0.59 0.72 0.88 1.01 1.05 1.00 0.90 0.81 0.78 0.82 0.90 0.97 0.99 0.93 0.82 0.67 0.54 0.46 0.42 0.43 0.49 0.60 0.77 1.03 1.39 1.80 2.23 2.58 2.79 2.84 2.75 2.57 2.36 2.18 2.03 1.91 1.80 1.72 1.68 1.68 1.71 1.73 1.69 1.59 1.44 1.30 1.23 1.25 1.34 1.45 1.51 1.50 1.42 1.31 1.22 1.22 1.33 1.53 1.80 2.06 2.26 2.34 2.29 2.12 1.88 1.61 1.36 1.12 0.90 0.71 0.58 0.54 0.59 0.72 0.88 1.01 1.05 1.00 0.90 0.81 0.78 0.82 0.90 0.97 0.99 0.93 0.82 12.5 + 15.0 0.89 0.77 0.67 0.60 0.56 0.54 0.55 0.59 0.69 0.89 1.18 1.56 1.97 2.35 2.63 2.76 2.77 2.69 2.57 2.46 2.37 2.28 2.21 2.14 2.10 2.12 2.17 2.21 2.21 2.12 1.97 1.81 1.69 1.67 1.72 1.79 1.83 1.78 1.66 1.49 1.36 1.32 1.40 1.59 1.84 2.08 2.24 2.26 2.16 1.96 1.71 1.48 1.28 1.10 0.94 0.80 0.71 0.70 0.77 0.91 1.04 1.11 1.10 1.01 0.91 0.85 0.86 0.94 1.03 1.09 1.08 1.01 0.89 0.77 0.67 0.60 0.56 0.54 0.55 0.59 0.69 0.89 1.18 1.56 1.97 2.35 2.63 2.76 2.77 2.69 2.57 2.46 2.37 2.28 2.21 2.14 2.10 2.12 2.17 2.21 2.21 2.12 1.97 1.81 1.69 1.67 1.72 1.79 1.83 1.78 1.66 1.49 1.36 1.32 1.40 1.59 1.84 2.08 2.24 2.26 2.16 1.96 1.71 1.48 1.28 1.10 0.94 0.80 0.71 0.70 0.77 0.91 1.04 1.11 1.10 1.01 0.91 0.85 0.86 0.94 1.03 1.09 1.08 1.01 0.89 15.0 + 17.5 0.85 0.76 0.69 0.65 0.60 0.56 0.53 0.52 0.56 0.69 0.91 1.22 1.59 1.97 2.28 2.50 2.61 2.63 2.60 2.56 2.50 2.43 2.35 2.28 2.25 2.27 2.34 2.41 2.43 2.36 2.22 2.04 1.91 1.86 1.87 1.91 1.90 1.83 1.67 1.49 1.35 1.31 1.39 1.59 1.84 2.05 2.17 2.15 2.01 1.79 1.55 1.34 1.18 1.06 0.94 0.84 0.78 0.79 0.87 0.98 1.06 1.08 1.00 0.88 0.79 0.77 0.83 0.95 1.05 1.09 1.05 0.96 0.85 0.76 0.69 0.65 0.60 0.56 0.53 0.52 0.56 0.69 0.91 1.22 1.59 1.97 2.28 2.50 2.61 2.63 2.60 2.56 2.50 2.43 2.35 2.28 2.25 2.27 2.34 2.41 2.43 2.36 2.22 2.04 1.91 1.86 1.87 1.91 1.90 1.83 1.67 1.49 1.35 1.31 1.39 1.59 1.84 2.05 2.17 2.15 2.01 1.79 1.55 1.34 1.18 1.06 0.94 0.84 0.78 0.79 0.87 0.98 1.06 1.08 1.00 0.88 0.79 0.77 0.83 0.95 1.05 1.09 1.05 0.96 0.85 17.5 + 20.0 0.68 0.61 0.56 0.53 0.49 0.44 0.38 0.34 0.35 0.43 0.59 0.83 1.14 1.49 1.82 2.09 2.29 2.41 2.47 2.47 2.43 2.36 2.27 2.18 2.15 2.18 2.27 2.37 2.41 2.37 2.24 2.07 1.93 1.85 1.82 1.81 1.77 1.66 1.49 1.32 1.21 1.20 1.32 1.53 1.78 1.99 2.08 2.04 1.87 1.64 1.41 1.21 1.07 0.96 0.86 0.78 0.73 0.74 0.81 0.89 0.93 0.89 0.78 0.65 0.58 0.62 0.74 0.89 1.00 1.01 0.93 0.80 0.68 0.61 0.56 0.53 0.49 0.44 0.38 0.34 0.35 0.43 0.59 0.83 1.14 1.49 1.82 2.09 2.29 2.41 2.47 2.47 2.43 2.36 2.27 2.18 2.15 2.18 2.27 2.37 2.41 2.37 2.24 2.07 1.93 1.85 1.82 1.81 1.77 1.66 1.49 1.32 1.21 1.20 1.32 1.53 1.78 1.99 2.08 2.04 1.87 1.64 1.41 1.21 1.07 0.96 0.86 0.78 0.73 0.74 0.81 0.89 0.93 0.89 0.78 0.65 0.58 0.62 0.74 0.89 1.00 1.01 0.93 0.80 0.68 20.0 + 22.5 0.43 0.35 0.32 0.29 0.25 0.18 0.12 0.08 0.08 0.14 0.26 0.45 0.69 0.98 1.30 1.61 1.89 2.10 2.24 2.30 2.28 2.22 2.13 2.05 2.04 2.11 2.23 2.35 2.41 2.38 2.26 2.09 1.94 1.82 1.74 1.66 1.56 1.41 1.25 1.10 1.04 1.08 1.23 1.46 1.70 1.89 1.96 1.91 1.74 1.51 1.29 1.10 0.95 0.83 0.72 0.63 0.57 0.58 0.64 0.69 0.70 0.62 0.49 0.37 0.35 0.44 0.62 0.80 0.89 0.85 0.72 0.56 0.43 0.35 0.32 0.29 0.25 0.18 0.12 0.08 0.08 0.14 0.26 0.45 0.69 0.98 1.30 1.61 1.89 2.10 2.24 2.30 2.28 2.22 2.13 2.05 2.04 2.11 2.23 2.35 2.41 2.38 2.26 2.09 1.94 1.82 1.74 1.66 1.56 1.41 1.25 1.10 1.04 1.08 1.23 1.46 1.70 1.89 1.96 1.91 1.74 1.51 1.29 1.10 0.95 0.83 0.72 0.63 0.57 0.58 0.64 0.69 0.70 0.62 0.49 0.37 0.35 0.44 0.62 0.80 0.89 0.85 0.72 0.56 0.43 22.5 + 25.0 0.15 0.09 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.53 0.82 1.16 1.49 1.79 2.02 2.16 2.21 2.20 2.16 2.15 2.20 2.32 2.47 2.61 2.67 2.63 2.50 2.32 2.13 1.95 1.79 1.63 1.45 1.27 1.10 0.98 0.95 1.02 1.17 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.16 0.98 0.83 0.69 0.56 0.45 0.39 0.40 0.44 0.48 0.45 0.35 0.22 0.12 0.14 0.28 0.49 0.67 0.73 0.66 0.48 0.29 0.15 0.09 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.30 0.53 0.82 1.16 1.49 1.79 2.02 2.16 2.21 2.20 2.16 2.15 2.20 2.32 2.47 2.61 2.67 2.63 2.50 2.32 2.13 1.95 1.79 1.63 1.45 1.27 1.10 0.98 0.95 1.02 1.17 1.37 1.57 1.72 1.77 1.72 1.57 1.37 1.16 0.98 0.83 0.69 0.56 0.45 0.39 0.40 0.44 0.48 0.45 0.35 0.22 0.12 0.14 0.28 0.49 0.67 0.73 0.66 0.48 0.29 0.15 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.45 0.78 1.17 1.55 1.89 2.14 2.29 2.39 2.47 2.57 2.72 2.91 3.09 3.22 3.25 3.17 3.00 2.78 2.53 2.28 2.02 1.77 1.51 1.29 1.12 1.02 1.00 1.05 1.15 1.27 1.39 1.47 1.49 1.44 1.32 1.16 1.00 0.85 0.72 0.58 0.44 0.33 0.27 0.27 0.30 0.32 0.28 0.17 0.03 0.00 0.00 0.14 0.35 0.52 0.55 0.44 0.24 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.45 0.78 1.17 1.55 1.89 2.14 2.29 2.39 2.47 2.57 2.72 2.91 3.09 3.22 3.25 3.17 3.00 2.78 2.53 2.28 2.02 1.77 1.51 1.29 1.12 1.02 1.00 1.05 1.15 1.27 1.39 1.47 1.49 1.44 1.32 1.16 1.00 0.85 0.72 0.58 0.44 0.33 0.27 0.27 0.30 0.32 0.28 0.17 0.03 0.00 0.00 0.14 0.35 0.52 0.55 0.44 0.24 0.05 0.00 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.54 0.96 1.41 1.84 2.20 2.49 2.72 2.94 3.18 3.43 3.68 3.87 3.96 3.93 3.79 3.56 3.28 2.97 2.64 2.30 1.97 1.67 1.43 1.27 1.18 1.14 1.13 1.13 1.14 1.14 1.14 1.13 1.08 1.00 0.90 0.79 0.69 0.59 0.48 0.37 0.28 0.23 0.22 0.25 0.26 0.20 0.08 0.00 0.00 0.00 0.05 0.23 0.36 0.36 0.22 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.54 0.96 1.41 1.84 2.20 2.49 2.72 2.94 3.18 3.43 3.68 3.87 3.96 3.93 3.79 3.56 3.28 2.97 2.64 2.30 1.97 1.67 1.43 1.27 1.18 1.14 1.13 1.13 1.14 1.14 1.14 1.13 1.08 1.00 0.90 0.79 0.69 0.59 0.48 0.37 0.28 0.23 0.22 0.25 0.26 0.20 0.08 0.00 0.00 0.00 0.05 0.23 0.36 0.36 0.22 0.03 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.43 0.86 1.34 1.82 2.25 2.63 2.97 3.30 3.64 3.96 4.23 4.40 4.43 4.33 4.12 3.84 3.52 3.17 2.79 2.41 2.04 1.74 1.52 1.39 1.32 1.27 1.19 1.08 0.97 0.87 0.80 0.75 0.72 0.67 0.62 0.56 0.51 0.45 0.39 0.33 0.27 0.24 0.25 0.26 0.25 0.18 0.06 0.00 0.00 0.00 0.02 0.16 0.24 0.20 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.43 0.86 1.34 1.82 2.25 2.63 2.97 3.30 3.64 3.96 4.23 4.40 4.43 4.33 4.12 3.84 3.52 3.17 2.79 2.41 2.04 1.74 1.52 1.39 1.32 1.27 1.19 1.08 0.97 0.87 0.80 0.75 0.72 0.67 0.62 0.56 0.51 0.45 0.39 0.33 0.27 0.24 0.25 0.26 0.25 0.18 0.06 0.00 0.00 0.00 0.02 0.16 0.24 0.20 0.05 0.00 0.00 0.00 32.5 + 35.0 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.42 0.82 1.28 1.75 2.17 2.55 2.91 3.28 3.64 3.97 4.21 4.32 4.28 4.11 3.86 3.57 3.26 2.92 2.56 2.19 1.85 1.59 1.44 1.37 1.34 1.28 1.16 0.98 0.78 0.62 0.52 0.47 0.45 0.44 0.41 0.37 0.34 0.32 0.30 0.29 0.28 0.28 0.29 0.29 0.26 0.18 0.07 0.00 0.00 0.00 0.06 0.15 0.18 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.42 0.82 1.28 1.75 2.17 2.55 2.91 3.28 3.64 3.97 4.21 4.32 4.28 4.11 3.86 3.57 3.26 2.92 2.56 2.19 1.85 1.59 1.44 1.37 1.34 1.28 1.16 0.98 0.78 0.62 0.52 0.47 0.45 0.44 0.41 0.37 0.34 0.32 0.30 0.29 0.28 0.28 0.29 0.29 0.26 0.18 0.07 0.00 0.00 0.00 0.06 0.15 0.18 0.11 0.00 0.00 0.00 0.00 35.0 + 37.5 0.00 0.00 0.10 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.48 0.82 1.20 1.57 1.89 2.18 2.47 2.78 3.09 3.36 3.53 3.57 3.46 3.26 3.02 2.78 2.54 2.28 1.99 1.69 1.42 1.23 1.16 1.17 1.20 1.17 1.04 0.84 0.62 0.45 0.37 0.35 0.37 0.37 0.34 0.28 0.24 0.22 0.23 0.26 0.30 0.33 0.34 0.31 0.25 0.16 0.06 0.00 0.00 0.07 0.16 0.22 0.20 0.10 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.22 0.48 0.82 1.20 1.57 1.89 2.18 2.47 2.78 3.09 3.36 3.53 3.57 3.46 3.26 3.02 2.78 2.54 2.28 1.99 1.69 1.42 1.23 1.16 1.17 1.20 1.17 1.04 0.84 0.62 0.45 0.37 0.35 0.37 0.37 0.34 0.28 0.24 0.22 0.23 0.26 0.30 0.33 0.34 0.31 0.25 0.16 0.06 0.00 0.00 0.07 0.16 0.22 0.20 0.10 0.00 0.00 0.00 0.00 37.5 + 40.0 0.00 0.07 0.18 0.21 0.17 0.07 0.00 0.00 0.00 0.03 0.08 0.10 0.12 0.18 0.31 0.53 0.80 1.07 1.29 1.45 1.59 1.74 1.94 2.15 2.34 2.43 2.39 2.25 2.05 1.87 1.73 1.61 1.49 1.32 1.11 0.91 0.79 0.79 0.86 0.95 0.97 0.89 0.71 0.53 0.40 0.36 0.40 0.45 0.46 0.41 0.32 0.22 0.18 0.20 0.27 0.35 0.41 0.40 0.34 0.24 0.12 0.04 0.03 0.08 0.19 0.28 0.32 0.26 0.13 0.00 0.00 0.00 0.00 0.07 0.18 0.21 0.17 0.07 0.00 0.00 0.00 0.03 0.08 0.10 0.12 0.18 0.31 0.53 0.80 1.07 1.29 1.45 1.59 1.74 1.94 2.15 2.34 2.43 2.39 2.25 2.05 1.87 1.73 1.61 1.49 1.32 1.11 0.91 0.79 0.79 0.86 0.95 0.97 0.89 0.71 0.53 0.40 0.36 0.40 0.45 0.46 0.41 0.32 0.22 0.18 0.20 0.27 0.35 0.41 0.40 0.34 0.24 0.12 0.04 0.03 0.08 0.19 0.28 0.32 0.26 0.13 0.00 0.00 0.00 0.00 40.0 + 42.5 0.01 0.13 0.23 0.26 0.23 0.18 0.14 0.15 0.19 0.23 0.24 0.23 0.22 0.26 0.37 0.54 0.73 0.88 0.95 0.95 0.93 0.94 1.03 1.16 1.27 1.30 1.22 1.07 0.90 0.80 0.79 0.83 0.86 0.81 0.68 0.54 0.45 0.46 0.57 0.71 0.78 0.76 0.64 0.51 0.43 0.44 0.53 0.62 0.65 0.57 0.43 0.28 0.20 0.21 0.31 0.43 0.52 0.51 0.41 0.25 0.10 0.01 0.03 0.13 0.27 0.38 0.40 0.31 0.15 0.00 0.00 0.00 0.01 0.13 0.23 0.26 0.23 0.18 0.14 0.15 0.19 0.23 0.24 0.23 0.22 0.26 0.37 0.54 0.73 0.88 0.95 0.95 0.93 0.94 1.03 1.16 1.27 1.30 1.22 1.07 0.90 0.80 0.79 0.83 0.86 0.81 0.68 0.54 0.45 0.46 0.57 0.71 0.78 0.76 0.64 0.51 0.43 0.44 0.53 0.62 0.65 0.57 0.43 0.28 0.20 0.21 0.31 0.43 0.52 0.51 0.41 0.25 0.10 0.01 0.03 0.13 0.27 0.38 0.40 0.31 0.15 0.00 0.00 0.00 0.01 42.5 + 45.0 0.08 0.20 0.28 0.30 0.28 0.26 0.28 0.33 0.39 0.42 0.40 0.34 0.29 0.29 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.30 0.33 0.42 0.51 0.52 0.42 0.27 0.15 0.13 0.23 0.41 0.57 0.62 0.54 0.40 0.29 0.28 0.38 0.53 0.66 0.70 0.64 0.55 0.50 0.54 0.65 0.76 0.80 0.73 0.56 0.36 0.24 0.24 0.36 0.53 0.65 0.65 0.52 0.30 0.09 0.00 0.01 0.14 0.30 0.40 0.40 0.28 0.12 0.00 0.00 0.00 0.08 0.20 0.28 0.30 0.28 0.26 0.28 0.33 0.39 0.42 0.40 0.34 0.29 0.29 0.37 0.50 0.62 0.67 0.62 0.50 0.37 0.30 0.33 0.42 0.51 0.52 0.42 0.27 0.15 0.13 0.23 0.41 0.57 0.62 0.54 0.40 0.29 0.28 0.38 0.53 0.66 0.70 0.64 0.55 0.50 0.54 0.65 0.76 0.80 0.73 0.56 0.36 0.24 0.24 0.36 0.53 0.65 0.65 0.52 0.30 0.09 0.00 0.01 0.14 0.30 0.40 0.40 0.28 0.12 0.00 0.00 0.00 0.08 45.0 + 47.5 0.17 0.29 0.34 0.34 0.31 0.31 0.37 0.47 0.56 0.58 0.53 0.43 0.34 0.30 0.34 0.43 0.50 0.49 0.37 0.19 0.03 0.00 0.00 0.09 0.19 0.21 0.12 0.00 0.00 0.00 0.08 0.35 0.59 0.69 0.63 0.46 0.29 0.21 0.28 0.45 0.62 0.72 0.71 0.63 0.57 0.58 0.68 0.80 0.86 0.80 0.62 0.41 0.26 0.25 0.39 0.60 0.76 0.78 0.63 0.37 0.11 0.00 0.00 0.10 0.26 0.35 0.32 0.19 0.03 0.00 0.00 0.03 0.17 0.29 0.34 0.34 0.31 0.31 0.37 0.47 0.56 0.58 0.53 0.43 0.34 0.30 0.34 0.43 0.50 0.49 0.37 0.19 0.03 0.00 0.00 0.09 0.19 0.21 0.12 0.00 0.00 0.00 0.08 0.35 0.59 0.69 0.63 0.46 0.29 0.21 0.28 0.45 0.62 0.72 0.71 0.63 0.57 0.58 0.68 0.80 0.86 0.80 0.62 0.41 0.26 0.25 0.39 0.60 0.76 0.78 0.63 0.37 0.11 0.00 0.00 0.10 0.26 0.35 0.32 0.19 0.03 0.00 0.00 0.03 0.17 47.5 + 50.0 0.29 0.40 0.43 0.38 0.32 0.32 0.40 0.52 0.64 0.68 0.63 0.51 0.39 0.32 0.33 0.38 0.42 0.38 0.25 0.08 0.00 0.00 0.00 0.13 0.26 0.29 0.19 0.04 0.00 0.00 0.17 0.47 0.74 0.86 0.78 0.57 0.34 0.21 0.25 0.43 0.65 0.80 0.82 0.74 0.63 0.58 0.63 0.74 0.81 0.78 0.62 0.40 0.24 0.22 0.36 0.60 0.80 0.84 0.70 0.42 0.13 0.00 0.00 0.05 0.20 0.27 0.23 0.09 0.00 0.00 0.00 0.11 0.29 0.40 0.43 0.38 0.32 0.32 0.40 0.52 0.64 0.68 0.63 0.51 0.39 0.32 0.33 0.38 0.42 0.38 0.25 0.08 0.00 0.00 0.00 0.13 0.26 0.29 0.19 0.04 0.00 0.00 0.17 0.47 0.74 0.86 0.78 0.57 0.34 0.21 0.25 0.43 0.65 0.80 0.82 0.74 0.63 0.58 0.63 0.74 0.81 0.78 0.62 0.40 0.24 0.22 0.36 0.60 0.80 0.84 0.70 0.42 0.13 0.00 0.00 0.05 0.20 0.27 0.23 0.09 0.00 0.00 0.00 0.11 0.29 50.0 + 52.5 0.45 0.55 0.52 0.41 0.30 0.27 0.34 0.48 0.63 0.70 0.68 0.58 0.46 0.38 0.37 0.41 0.43 0.39 0.28 0.15 0.06 0.08 0.20 0.37 0.51 0.53 0.43 0.26 0.14 0.15 0.32 0.59 0.83 0.93 0.84 0.60 0.34 0.19 0.23 0.44 0.71 0.91 0.96 0.86 0.70 0.59 0.58 0.65 0.73 0.72 0.58 0.37 0.18 0.14 0.27 0.52 0.75 0.83 0.72 0.45 0.16 0.00 0.00 0.04 0.18 0.25 0.20 0.07 0.00 0.00 0.06 0.25 0.45 0.55 0.52 0.41 0.30 0.27 0.34 0.48 0.63 0.70 0.68 0.58 0.46 0.38 0.37 0.41 0.43 0.39 0.28 0.15 0.06 0.08 0.20 0.37 0.51 0.53 0.43 0.26 0.14 0.15 0.32 0.59 0.83 0.93 0.84 0.60 0.34 0.19 0.23 0.44 0.71 0.91 0.96 0.86 0.70 0.59 0.58 0.65 0.73 0.72 0.58 0.37 0.18 0.14 0.27 0.52 0.75 0.83 0.72 0.45 0.16 0.00 0.00 0.04 0.18 0.25 0.20 0.07 0.00 0.00 0.06 0.25 0.45 52.5 + 55.0 0.64 0.71 0.62 0.44 0.26 0.17 0.21 0.36 0.53 0.65 0.67 0.62 0.54 0.48 0.48 0.51 0.53 0.50 0.44 0.36 0.32 0.37 0.50 0.65 0.76 0.76 0.65 0.47 0.32 0.29 0.41 0.61 0.79 0.86 0.75 0.52 0.27 0.14 0.20 0.44 0.75 0.99 1.07 0.98 0.79 0.62 0.56 0.60 0.67 0.68 0.57 0.36 0.17 0.09 0.19 0.42 0.66 0.78 0.71 0.49 0.23 0.05 0.03 0.13 0.26 0.33 0.30 0.19 0.10 0.11 0.25 0.46 0.64 0.71 0.62 0.44 0.26 0.17 0.21 0.36 0.53 0.65 0.67 0.62 0.54 0.48 0.48 0.51 0.53 0.50 0.44 0.36 0.32 0.37 0.50 0.65 0.76 0.76 0.65 0.47 0.32 0.29 0.41 0.61 0.79 0.86 0.75 0.52 0.27 0.14 0.20 0.44 0.75 0.99 1.07 0.98 0.79 0.62 0.56 0.60 0.67 0.68 0.57 0.36 0.17 0.09 0.19 0.42 0.66 0.78 0.71 0.49 0.23 0.05 0.03 0.13 0.26 0.33 0.30 0.19 0.10 0.11 0.25 0.46 0.64 55.0 + 57.5 0.83 0.85 0.70 0.46 0.22 0.08 0.08 0.21 0.38 0.53 0.61 0.61 0.59 0.57 0.58 0.61 0.65 0.65 0.63 0.61 0.61 0.66 0.76 0.86 0.91 0.87 0.75 0.59 0.45 0.40 0.44 0.56 0.66 0.68 0.57 0.37 0.16 0.07 0.16 0.42 0.75 1.01 1.12 1.05 0.87 0.68 0.60 0.62 0.69 0.71 0.62 0.44 0.24 0.15 0.21 0.41 0.64 0.77 0.75 0.57 0.36 0.22 0.21 0.32 0.46 0.54 0.51 0.42 0.35 0.37 0.50 0.69 0.83 0.85 0.70 0.46 0.22 0.08 0.08 0.21 0.38 0.53 0.61 0.61 0.59 0.57 0.58 0.61 0.65 0.65 0.63 0.61 0.61 0.66 0.76 0.86 0.91 0.87 0.75 0.59 0.45 0.40 0.44 0.56 0.66 0.68 0.57 0.37 0.16 0.07 0.16 0.42 0.75 1.01 1.12 1.05 0.87 0.68 0.60 0.62 0.69 0.71 0.62 0.44 0.24 0.15 0.21 0.41 0.64 0.77 0.75 0.57 0.36 0.22 0.21 0.32 0.46 0.54 0.51 0.42 0.35 0.37 0.50 0.69 0.83 57.5 + 60.0 0.95 0.92 0.75 0.47 0.20 0.02 0.00 0.08 0.23 0.38 0.49 0.54 0.55 0.57 0.60 0.64 0.69 0.73 0.76 0.78 0.81 0.85 0.88 0.91 0.90 0.84 0.75 0.64 0.54 0.48 0.47 0.50 0.52 0.48 0.37 0.21 0.06 0.01 0.11 0.35 0.66 0.93 1.06 1.03 0.89 0.74 0.67 0.70 0.78 0.82 0.78 0.63 0.47 0.37 0.41 0.57 0.76 0.89 0.88 0.74 0.57 0.46 0.47 0.58 0.72 0.80 0.78 0.70 0.62 0.62 0.72 0.86 0.95 0.92 0.75 0.47 0.20 0.02 0.00 0.08 0.23 0.38 0.49 0.54 0.55 0.57 0.60 0.64 0.69 0.73 0.76 0.78 0.81 0.85 0.88 0.91 0.90 0.84 0.75 0.64 0.54 0.48 0.47 0.50 0.52 0.48 0.37 0.21 0.06 0.01 0.11 0.35 0.66 0.93 1.06 1.03 0.89 0.74 0.67 0.70 0.78 0.82 0.78 0.63 0.47 0.37 0.41 0.57 0.76 0.89 0.88 0.74 0.57 0.46 0.47 0.58 0.72 0.80 0.78 0.70 0.62 0.62 0.72 0.86 0.95 60.0 + 62.5 0.96 0.90 0.72 0.46 0.20 0.02 0.00 0.01 0.12 0.25 0.34 0.40 0.43 0.45 0.49 0.54 0.60 0.66 0.73 0.80 0.84 0.85 0.83 0.79 0.73 0.68 0.64 0.61 0.57 0.53 0.49 0.45 0.39 0.31 0.20 0.07 0.00 0.00 0.03 0.23 0.49 0.74 0.89 0.92 0.87 0.80 0.78 0.85 0.96 1.05 1.07 0.99 0.88 0.80 0.82 0.93 1.07 1.15 1.12 0.99 0.84 0.74 0.75 0.85 0.97 1.04 1.01 0.92 0.81 0.77 0.82 0.90 0.96 0.90 0.72 0.46 0.20 0.02 0.00 0.01 0.12 0.25 0.34 0.40 0.43 0.45 0.49 0.54 0.60 0.66 0.73 0.80 0.84 0.85 0.83 0.79 0.73 0.68 0.64 0.61 0.57 0.53 0.49 0.45 0.39 0.31 0.20 0.07 0.00 0.00 0.03 0.23 0.49 0.74 0.89 0.92 0.87 0.80 0.78 0.85 0.96 1.05 1.07 0.99 0.88 0.80 0.82 0.93 1.07 1.15 1.12 0.99 0.84 0.74 0.75 0.85 0.97 1.04 1.01 0.92 0.81 0.77 0.82 0.90 0.96 62.5 + 65.0 0.83 0.78 0.64 0.43 0.21 0.06 0.00 0.02 0.08 0.16 0.22 0.25 0.26 0.27 0.28 0.31 0.37 0.45 0.54 0.63 0.67 0.66 0.60 0.51 0.44 0.42 0.45 0.49 0.52 0.51 0.44 0.35 0.24 0.14 0.05 0.00 0.00 0.00 0.00 0.09 0.30 0.53 0.72 0.83 0.89 0.93 1.00 1.13 1.30 1.46 1.54 1.55 1.49 1.44 1.43 1.47 1.52 1.53 1.44 1.28 1.11 1.00 0.98 1.06 1.15 1.19 1.14 1.01 0.87 0.78 0.77 0.80 0.83 0.78 0.64 0.43 0.21 0.06 0.00 0.02 0.08 0.16 0.22 0.25 0.26 0.27 0.28 0.31 0.37 0.45 0.54 0.63 0.67 0.66 0.60 0.51 0.44 0.42 0.45 0.49 0.52 0.51 0.44 0.35 0.24 0.14 0.05 0.00 0.00 0.00 0.00 0.09 0.30 0.53 0.72 0.83 0.89 0.93 1.00 1.13 1.30 1.46 1.54 1.55 1.49 1.44 1.43 1.47 1.52 1.53 1.44 1.28 1.11 1.00 0.98 1.06 1.15 1.19 1.14 1.01 0.87 0.78 0.77 0.80 0.83 65.0 + 67.5 0.63 0.60 0.51 0.37 0.23 0.13 0.08 0.09 0.12 0.16 0.18 0.17 0.16 0.13 0.10 0.09 0.11 0.19 0.29 0.37 0.41 0.37 0.27 0.16 0.10 0.11 0.19 0.30 0.37 0.36 0.28 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.44 0.69 0.91 1.09 1.25 1.43 1.64 1.88 2.10 2.26 2.33 2.31 2.24 2.17 2.12 2.06 1.95 1.78 1.56 1.34 1.19 1.14 1.18 1.24 1.25 1.16 1.00 0.81 0.67 0.61 0.61 0.63 0.60 0.51 0.37 0.23 0.13 0.08 0.09 0.12 0.16 0.18 0.17 0.16 0.13 0.10 0.09 0.11 0.19 0.29 0.37 0.41 0.37 0.27 0.16 0.10 0.11 0.19 0.30 0.37 0.36 0.28 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.19 0.44 0.69 0.91 1.09 1.25 1.43 1.64 1.88 2.10 2.26 2.33 2.31 2.24 2.17 2.12 2.06 1.95 1.78 1.56 1.34 1.19 1.14 1.18 1.24 1.25 1.16 1.00 0.81 0.67 0.61 0.61 0.63 67.5 + 70.0 0.43 0.42 0.38 0.31 0.24 0.20 0.19 0.21 0.23 0.25 0.26 0.24 0.19 0.12 0.05 0.00 0.00 0.03 0.12 0.20 0.22 0.15 0.02 0.00 0.00 0.00 0.00 0.11 0.18 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.28 0.58 0.93 1.27 1.58 1.85 2.13 2.42 2.72 3.00 3.21 3.29 3.25 3.12 2.94 2.76 2.56 2.34 2.07 1.78 1.51 1.31 1.22 1.22 1.24 1.23 1.12 0.94 0.72 0.55 0.45 0.42 0.43 0.42 0.38 0.31 0.24 0.20 0.19 0.21 0.23 0.25 0.26 0.24 0.19 0.12 0.05 0.00 0.00 0.03 0.12 0.20 0.22 0.15 0.02 0.00 0.00 0.00 0.00 0.11 0.18 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.28 0.58 0.93 1.27 1.58 1.85 2.13 2.42 2.72 3.00 3.21 3.29 3.25 3.12 2.94 2.76 2.56 2.34 2.07 1.78 1.51 1.31 1.22 1.22 1.24 1.23 1.12 0.94 0.72 0.55 0.45 0.42 0.43 70.0 + 72.5 0.32 0.32 0.32 0.29 0.27 0.27 0.29 0.32 0.37 0.41 0.44 0.44 0.40 0.30 0.19 0.09 0.05 0.09 0.18 0.26 0.26 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.18 0.33 0.61 1.00 1.45 1.90 2.31 2.67 3.01 3.35 3.70 4.02 4.23 4.29 4.17 3.92 3.59 3.25 2.93 2.60 2.27 1.93 1.61 1.36 1.23 1.19 1.20 1.18 1.08 0.90 0.68 0.48 0.36 0.32 0.32 0.32 0.32 0.29 0.27 0.27 0.29 0.32 0.37 0.41 0.44 0.44 0.40 0.30 0.19 0.09 0.05 0.09 0.18 0.26 0.26 0.16 0.00 0.00 0.00 0.00 0.00 0.06 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.18 0.33 0.61 1.00 1.45 1.90 2.31 2.67 3.01 3.35 3.70 4.02 4.23 4.29 4.17 3.92 3.59 3.25 2.93 2.60 2.27 1.93 1.61 1.36 1.23 1.19 1.20 1.18 1.08 0.90 0.68 0.48 0.36 0.32 0.32 72.5 + 75.0 0.30 0.31 0.32 0.32 0.31 0.32 0.35 0.40 0.47 0.56 0.64 0.70 0.68 0.59 0.46 0.33 0.29 0.34 0.46 0.56 0.58 0.47 0.28 0.10 0.02 0.06 0.17 0.24 0.22 0.08 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.50 0.59 0.77 1.09 1.55 2.09 2.61 3.07 3.46 3.81 4.18 4.55 4.88 5.08 5.08 4.85 4.45 3.96 3.47 3.04 2.67 2.32 1.97 1.63 1.35 1.17 1.10 1.10 1.10 1.04 0.89 0.69 0.51 0.38 0.31 0.30 0.31 0.32 0.32 0.31 0.32 0.35 0.40 0.47 0.56 0.64 0.70 0.68 0.59 0.46 0.33 0.29 0.34 0.46 0.56 0.58 0.47 0.28 0.10 0.02 0.06 0.17 0.24 0.22 0.08 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.50 0.59 0.77 1.09 1.55 2.09 2.61 3.07 3.46 3.81 4.18 4.55 4.88 5.08 5.08 4.85 4.45 3.96 3.47 3.04 2.67 2.32 1.97 1.63 1.35 1.17 1.10 1.10 1.10 1.04 0.89 0.69 0.51 0.38 0.31 0.30 75.0 + 77.5 0.34 0.35 0.35 0.35 0.34 0.33 0.34 0.37 0.45 0.59 0.75 0.87 0.91 0.85 0.70 0.57 0.53 0.63 0.82 1.00 1.06 0.96 0.76 0.56 0.46 0.49 0.58 0.64 0.56 0.37 0.14 0.00 0.01 0.19 0.47 0.73 0.90 0.98 1.06 1.23 1.55 2.03 2.59 3.13 3.57 3.93 4.24 4.57 4.93 5.26 5.45 5.40 5.07 4.53 3.89 3.31 2.84 2.48 2.18 1.88 1.55 1.25 1.03 0.93 0.93 0.96 0.95 0.87 0.73 0.57 0.44 0.37 0.34 0.35 0.35 0.35 0.34 0.33 0.34 0.37 0.45 0.59 0.75 0.87 0.91 0.85 0.70 0.57 0.53 0.63 0.82 1.00 1.06 0.96 0.76 0.56 0.46 0.49 0.58 0.64 0.56 0.37 0.14 0.00 0.01 0.19 0.47 0.73 0.90 0.98 1.06 1.23 1.55 2.03 2.59 3.13 3.57 3.93 4.24 4.57 4.93 5.26 5.45 5.40 5.07 4.53 3.89 3.31 2.84 2.48 2.18 1.88 1.55 1.25 1.03 0.93 0.93 0.96 0.95 0.87 0.73 0.57 0.44 0.37 0.34 77.5 + 80.0 0.36 0.36 0.37 0.36 0.33 0.28 0.23 0.22 0.28 0.44 0.66 0.86 0.96 0.92 0.77 0.63 0.61 0.77 1.06 1.35 1.49 1.45 1.25 1.03 0.91 0.93 1.02 1.07 0.99 0.76 0.50 0.33 0.37 0.59 0.93 1.22 1.40 1.44 1.45 1.55 1.81 2.24 2.75 3.23 3.60 3.87 4.09 4.35 4.68 5.00 5.19 5.12 4.73 4.09 3.37 2.74 2.29 2.02 1.83 1.62 1.35 1.04 0.79 0.65 0.64 0.70 0.77 0.78 0.71 0.59 0.47 0.39 0.36 0.36 0.37 0.36 0.33 0.28 0.23 0.22 0.28 0.44 0.66 0.86 0.96 0.92 0.77 0.63 0.61 0.77 1.06 1.35 1.49 1.45 1.25 1.03 0.91 0.93 1.02 1.07 0.99 0.76 0.50 0.33 0.37 0.59 0.93 1.22 1.40 1.44 1.45 1.55 1.81 2.24 2.75 3.23 3.60 3.87 4.09 4.35 4.68 5.00 5.19 5.12 4.73 4.09 3.37 2.74 2.29 2.02 1.83 1.62 1.35 1.04 0.79 0.65 0.64 0.70 0.77 0.78 0.71 0.59 0.47 0.39 0.36 80.0 + 82.5 0.29 0.29 0.31 0.31 0.26 0.16 0.03 0.00 0.00 0.13 0.39 0.65 0.79 0.76 0.60 0.44 0.43 0.65 1.04 1.45 1.70 1.72 1.54 1.30 1.16 1.17 1.29 1.37 1.31 1.09 0.82 0.65 0.68 0.94 1.30 1.62 1.78 1.76 1.67 1.65 1.79 2.11 2.52 2.91 3.17 3.31 3.41 3.57 3.84 4.16 4.37 4.32 3.92 3.26 2.51 1.88 1.49 1.34 1.29 1.21 1.02 0.73 0.44 0.26 0.23 0.34 0.48 0.57 0.58 0.51 0.41 0.33 0.29 0.29 0.31 0.31 0.26 0.16 0.03 0.00 0.00 0.13 0.39 0.65 0.79 0.76 0.60 0.44 0.43 0.65 1.04 1.45 1.70 1.72 1.54 1.30 1.16 1.17 1.29 1.37 1.31 1.09 0.82 0.65 0.68 0.94 1.30 1.62 1.78 1.76 1.67 1.65 1.79 2.11 2.52 2.91 3.17 3.31 3.41 3.57 3.84 4.16 4.37 4.32 3.92 3.26 2.51 1.88 1.49 1.34 1.29 1.21 1.02 0.73 0.44 0.26 0.23 0.34 0.48 0.57 0.58 0.51 0.41 0.33 0.29 82.5 + 85.0 0.14 0.16 0.19 0.21 0.15 0.00 0.00 0.00 0.00 0.00 0.03 0.32 0.49 0.47 0.28 0.09 0.07 0.31 0.78 1.30 1.66 1.75 1.59 1.34 1.17 1.17 1.30 1.43 1.43 1.26 1.01 0.84 0.87 1.13 1.51 1.84 1.99 1.92 1.72 1.56 1.55 1.74 2.05 2.33 2.48 2.50 2.48 2.54 2.74 3.05 3.29 3.29 2.93 2.29 1.55 0.95 0.63 0.59 0.69 0.74 0.63 0.36 0.04 0.00 0.00 0.00 0.12 0.30 0.38 0.35 0.27 0.18 0.14 0.16 0.19 0.21 0.15 0.00 0.00 0.00 0.00 0.00 0.03 0.32 0.49 0.47 0.28 0.09 0.07 0.31 0.78 1.30 1.66 1.75 1.59 1.34 1.17 1.17 1.30 1.43 1.43 1.26 1.01 0.84 0.87 1.13 1.51 1.84 1.99 1.92 1.72 1.56 1.55 1.74 2.05 2.33 2.48 2.50 2.48 2.54 2.74 3.05 3.29 3.29 2.93 2.29 1.55 0.95 0.63 0.59 0.69 0.74 0.63 0.36 0.04 0.00 0.00 0.00 0.12 0.30 0.38 0.35 0.27 0.18 0.14 85.0 + 87.5 0.00 0.03 0.08 0.11 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.21 0.00 0.00 0.00 0.00 0.49 1.10 1.55 1.71 1.57 1.30 1.10 1.07 1.20 1.37 1.43 1.31 1.10 0.94 0.96 1.22 1.59 1.93 2.06 1.95 1.68 1.40 1.27 1.34 1.56 1.77 1.86 1.80 1.68 1.64 1.78 2.06 2.33 2.38 2.09 1.50 0.79 0.22 0.00 0.00 0.19 0.34 0.29 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.19 0.12 0.04 0.00 0.03 0.08 0.11 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.23 0.21 0.00 0.00 0.00 0.00 0.49 1.10 1.55 1.71 1.57 1.30 1.10 1.07 1.20 1.37 1.43 1.31 1.10 0.94 0.96 1.22 1.59 1.93 2.06 1.95 1.68 1.40 1.27 1.34 1.56 1.77 1.86 1.80 1.68 1.64 1.78 2.06 2.33 2.38 2.09 1.50 0.79 0.22 0.00 0.00 0.19 0.34 0.29 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.17 0.19 0.12 0.04 0.00 87.5 + 90.0 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 90.0 + + 60.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.83 ) PHI2 = 60. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.0 + 2.5 0.37 0.36 0.39 0.49 0.65 0.84 1.06 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.55 0.72 0.92 1.14 1.36 1.60 1.84 2.05 2.20 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 0.36 0.39 0.49 0.65 0.84 1.06 1.28 1.52 1.78 2.02 2.21 2.29 2.24 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.04 0.25 0.36 0.40 0.41 0.45 0.55 0.72 0.92 1.14 1.36 1.60 1.84 2.05 2.20 2.25 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.36 0.37 2.5 + 5.0 0.36 0.30 0.30 0.36 0.50 0.69 0.90 1.15 1.42 1.73 2.04 2.29 2.43 2.42 2.28 2.05 1.77 1.50 1.25 1.02 0.80 0.62 0.49 0.43 0.41 0.39 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.46 0.50 0.51 0.53 0.61 0.76 0.95 1.19 1.44 1.70 1.94 2.15 2.26 2.26 2.14 1.92 1.66 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.28 0.08 0.00 0.00 0.00 0.10 0.27 0.38 0.40 0.36 0.30 0.30 0.36 0.50 0.69 0.90 1.15 1.42 1.73 2.04 2.29 2.43 2.42 2.28 2.05 1.77 1.50 1.25 1.02 0.80 0.62 0.49 0.43 0.41 0.39 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.46 0.50 0.51 0.53 0.61 0.76 0.95 1.19 1.44 1.70 1.94 2.15 2.26 2.26 2.14 1.92 1.66 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.28 0.08 0.00 0.00 0.00 0.10 0.27 0.38 0.40 0.36 5.0 + 7.5 0.38 0.28 0.23 0.26 0.36 0.52 0.73 0.98 1.29 1.65 2.03 2.36 2.57 2.63 2.52 2.30 2.01 1.73 1.46 1.23 1.02 0.84 0.71 0.64 0.63 0.62 0.58 0.47 0.31 0.15 0.06 0.07 0.20 0.39 0.56 0.68 0.71 0.70 0.69 0.73 0.84 1.02 1.26 1.53 1.81 2.06 2.23 2.30 2.25 2.07 1.82 1.53 1.23 0.96 0.71 0.51 0.38 0.34 0.39 0.50 0.61 0.67 0.63 0.50 0.35 0.23 0.20 0.28 0.40 0.51 0.54 0.49 0.38 0.28 0.23 0.26 0.36 0.52 0.73 0.98 1.29 1.65 2.03 2.36 2.57 2.63 2.52 2.30 2.01 1.73 1.46 1.23 1.02 0.84 0.71 0.64 0.63 0.62 0.58 0.47 0.31 0.15 0.06 0.07 0.20 0.39 0.56 0.68 0.71 0.70 0.69 0.73 0.84 1.02 1.26 1.53 1.81 2.06 2.23 2.30 2.25 2.07 1.82 1.53 1.23 0.96 0.71 0.51 0.38 0.34 0.39 0.50 0.61 0.67 0.63 0.50 0.35 0.23 0.20 0.28 0.40 0.51 0.54 0.49 0.38 7.5 + 10.0 0.45 0.32 0.25 0.25 0.31 0.43 0.60 0.83 1.14 1.53 1.95 2.35 2.65 2.77 2.73 2.54 2.28 2.02 1.78 1.57 1.40 1.25 1.13 1.06 1.05 1.06 1.05 0.99 0.86 0.71 0.58 0.55 0.62 0.76 0.91 1.01 1.03 0.99 0.93 0.90 0.95 1.10 1.33 1.61 1.89 2.13 2.26 2.28 2.17 1.96 1.69 1.41 1.12 0.86 0.63 0.45 0.36 0.38 0.49 0.64 0.78 0.84 0.80 0.69 0.57 0.49 0.50 0.58 0.68 0.73 0.70 0.59 0.45 0.32 0.25 0.25 0.31 0.43 0.60 0.83 1.14 1.53 1.95 2.35 2.65 2.77 2.73 2.54 2.28 2.02 1.78 1.57 1.40 1.25 1.13 1.06 1.05 1.06 1.05 0.99 0.86 0.71 0.58 0.55 0.62 0.76 0.91 1.01 1.03 0.99 0.93 0.90 0.95 1.10 1.33 1.61 1.89 2.13 2.26 2.28 2.17 1.96 1.69 1.41 1.12 0.86 0.63 0.45 0.36 0.38 0.49 0.64 0.78 0.84 0.80 0.69 0.57 0.49 0.50 0.58 0.68 0.73 0.70 0.59 0.45 10.0 + 12.5 0.55 0.42 0.35 0.33 0.35 0.42 0.53 0.71 0.98 1.35 1.79 2.22 2.57 2.78 2.81 2.70 2.51 2.30 2.13 1.98 1.85 1.74 1.64 1.58 1.57 1.60 1.62 1.59 1.48 1.32 1.16 1.07 1.09 1.18 1.30 1.38 1.38 1.29 1.17 1.07 1.07 1.17 1.38 1.66 1.93 2.13 2.22 2.17 2.02 1.80 1.55 1.30 1.07 0.84 0.65 0.51 0.46 0.51 0.65 0.81 0.93 0.96 0.89 0.77 0.68 0.65 0.70 0.79 0.87 0.88 0.82 0.69 0.55 0.42 0.35 0.33 0.35 0.42 0.53 0.71 0.98 1.35 1.79 2.22 2.57 2.78 2.81 2.70 2.51 2.30 2.13 1.98 1.85 1.74 1.64 1.58 1.57 1.60 1.62 1.59 1.48 1.32 1.16 1.07 1.09 1.18 1.30 1.38 1.38 1.29 1.17 1.07 1.07 1.17 1.38 1.66 1.93 2.13 2.22 2.17 2.02 1.80 1.55 1.30 1.07 0.84 0.65 0.51 0.46 0.51 0.65 0.81 0.93 0.96 0.89 0.77 0.68 0.65 0.70 0.79 0.87 0.88 0.82 0.69 0.55 12.5 + 15.0 0.61 0.52 0.46 0.43 0.42 0.43 0.47 0.59 0.80 1.12 1.52 1.95 2.33 2.60 2.72 2.70 2.61 2.50 2.40 2.31 2.23 2.14 2.05 1.99 1.98 2.03 2.07 2.06 1.97 1.80 1.61 1.48 1.45 1.50 1.59 1.65 1.61 1.49 1.32 1.18 1.13 1.21 1.41 1.67 1.92 2.09 2.12 2.03 1.85 1.63 1.41 1.22 1.04 0.87 0.71 0.61 0.59 0.66 0.80 0.94 1.01 0.97 0.86 0.74 0.67 0.69 0.78 0.89 0.95 0.94 0.86 0.74 0.61 0.52 0.46 0.43 0.42 0.43 0.47 0.59 0.80 1.12 1.52 1.95 2.33 2.60 2.72 2.70 2.61 2.50 2.40 2.31 2.23 2.14 2.05 1.99 1.98 2.03 2.07 2.06 1.97 1.80 1.61 1.48 1.45 1.50 1.59 1.65 1.61 1.49 1.32 1.18 1.13 1.21 1.41 1.67 1.92 2.09 2.12 2.03 1.85 1.63 1.41 1.22 1.04 0.87 0.71 0.61 0.59 0.66 0.80 0.94 1.01 0.97 0.86 0.74 0.67 0.69 0.78 0.89 0.95 0.94 0.86 0.74 0.61 15.0 + 17.5 0.59 0.53 0.49 0.45 0.41 0.38 0.37 0.43 0.58 0.84 1.18 1.57 1.95 2.25 2.45 2.54 2.55 2.54 2.50 2.46 2.39 2.30 2.20 2.14 2.13 2.19 2.25 2.27 2.18 2.02 1.82 1.67 1.60 1.63 1.69 1.71 1.65 1.50 1.31 1.16 1.11 1.20 1.40 1.66 1.90 2.03 2.02 1.90 1.69 1.48 1.29 1.14 1.00 0.87 0.75 0.67 0.67 0.75 0.87 0.96 0.97 0.88 0.73 0.61 0.58 0.65 0.78 0.91 0.96 0.92 0.82 0.69 0.59 0.53 0.49 0.45 0.41 0.38 0.37 0.43 0.58 0.84 1.18 1.57 1.95 2.25 2.45 2.54 2.55 2.54 2.50 2.46 2.39 2.30 2.20 2.14 2.13 2.19 2.25 2.27 2.18 2.02 1.82 1.67 1.60 1.63 1.69 1.71 1.65 1.50 1.31 1.16 1.11 1.20 1.40 1.66 1.90 2.03 2.02 1.90 1.69 1.48 1.29 1.14 1.00 0.87 0.75 0.67 0.67 0.75 0.87 0.96 0.97 0.88 0.73 0.61 0.58 0.65 0.78 0.91 0.96 0.92 0.82 0.69 0.59 17.5 + 20.0 0.47 0.42 0.39 0.35 0.29 0.23 0.20 0.22 0.33 0.53 0.80 1.13 1.48 1.79 2.04 2.23 2.35 2.42 2.44 2.42 2.35 2.24 2.13 2.06 2.06 2.13 2.22 2.25 2.18 2.02 1.83 1.67 1.59 1.58 1.60 1.59 1.50 1.34 1.16 1.04 1.03 1.15 1.38 1.64 1.86 1.97 1.94 1.80 1.59 1.38 1.20 1.06 0.94 0.82 0.71 0.64 0.65 0.72 0.82 0.87 0.82 0.69 0.53 0.44 0.46 0.59 0.76 0.89 0.91 0.83 0.69 0.56 0.47 0.42 0.39 0.35 0.29 0.23 0.20 0.22 0.33 0.53 0.80 1.13 1.48 1.79 2.04 2.23 2.35 2.42 2.44 2.42 2.35 2.24 2.13 2.06 2.06 2.13 2.22 2.25 2.18 2.02 1.83 1.67 1.59 1.58 1.60 1.59 1.50 1.34 1.16 1.04 1.03 1.15 1.38 1.64 1.86 1.97 1.94 1.80 1.59 1.38 1.20 1.06 0.94 0.82 0.71 0.64 0.65 0.72 0.82 0.87 0.82 0.69 0.53 0.44 0.46 0.59 0.76 0.89 0.91 0.83 0.69 0.56 0.47 20.0 + 22.5 0.28 0.23 0.20 0.14 0.07 0.00 0.00 0.00 0.07 0.23 0.44 0.70 0.99 1.29 1.59 1.85 2.06 2.22 2.31 2.31 2.24 2.13 2.03 1.98 2.01 2.11 2.21 2.25 2.19 2.03 1.84 1.67 1.56 1.51 1.47 1.40 1.27 1.12 0.97 0.90 0.94 1.10 1.34 1.60 1.80 1.90 1.86 1.71 1.51 1.31 1.13 0.99 0.85 0.72 0.60 0.54 0.55 0.61 0.69 0.71 0.63 0.48 0.33 0.28 0.37 0.55 0.74 0.85 0.83 0.70 0.52 0.37 0.28 0.23 0.20 0.14 0.07 0.00 0.00 0.00 0.07 0.23 0.44 0.70 0.99 1.29 1.59 1.85 2.06 2.22 2.31 2.31 2.24 2.13 2.03 1.98 2.01 2.11 2.21 2.25 2.19 2.03 1.84 1.67 1.56 1.51 1.47 1.40 1.27 1.12 0.97 0.90 0.94 1.10 1.34 1.60 1.80 1.90 1.86 1.71 1.51 1.31 1.13 0.99 0.85 0.72 0.60 0.54 0.55 0.61 0.69 0.71 0.63 0.48 0.33 0.28 0.37 0.55 0.74 0.85 0.83 0.70 0.52 0.37 0.28 22.5 + 25.0 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.57 0.84 1.16 1.49 1.80 2.05 2.21 2.28 2.26 2.20 2.16 2.17 2.26 2.39 2.49 2.52 2.44 2.26 2.05 1.85 1.69 1.56 1.43 1.29 1.12 0.96 0.85 0.83 0.90 1.07 1.29 1.51 1.68 1.75 1.71 1.58 1.41 1.22 1.06 0.91 0.76 0.61 0.49 0.43 0.43 0.49 0.55 0.55 0.45 0.30 0.18 0.17 0.30 0.51 0.71 0.79 0.72 0.54 0.33 0.17 0.08 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.34 0.57 0.84 1.16 1.49 1.80 2.05 2.21 2.28 2.26 2.20 2.16 2.17 2.26 2.39 2.49 2.52 2.44 2.26 2.05 1.85 1.69 1.56 1.43 1.29 1.12 0.96 0.85 0.83 0.90 1.07 1.29 1.51 1.68 1.75 1.71 1.58 1.41 1.22 1.06 0.91 0.76 0.61 0.49 0.43 0.43 0.49 0.55 0.55 0.45 0.30 0.18 0.17 0.30 0.51 0.71 0.79 0.72 0.54 0.33 0.17 0.08 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.51 0.83 1.22 1.62 1.98 2.25 2.42 2.50 2.56 2.63 2.75 2.91 3.06 3.15 3.13 3.00 2.78 2.51 2.25 2.01 1.78 1.56 1.33 1.13 0.97 0.88 0.87 0.94 1.06 1.21 1.35 1.44 1.48 1.45 1.35 1.22 1.08 0.95 0.81 0.67 0.53 0.42 0.36 0.37 0.43 0.47 0.44 0.34 0.19 0.09 0.10 0.25 0.46 0.64 0.68 0.57 0.37 0.15 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.51 0.83 1.22 1.62 1.98 2.25 2.42 2.50 2.56 2.63 2.75 2.91 3.06 3.15 3.13 3.00 2.78 2.51 2.25 2.01 1.78 1.56 1.33 1.13 0.97 0.88 0.87 0.94 1.06 1.21 1.35 1.44 1.48 1.45 1.35 1.22 1.08 0.95 0.81 0.67 0.53 0.42 0.36 0.37 0.43 0.47 0.44 0.34 0.19 0.09 0.10 0.25 0.46 0.64 0.68 0.57 0.37 0.15 0.01 0.00 27.5 + 30.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.31 0.64 1.07 1.55 2.01 2.39 2.68 2.90 3.10 3.31 3.55 3.77 3.93 3.98 3.89 3.67 3.38 3.05 2.72 2.40 2.08 1.76 1.47 1.24 1.09 1.01 1.00 1.02 1.06 1.08 1.11 1.12 1.12 1.09 1.03 0.95 0.86 0.77 0.68 0.58 0.48 0.39 0.36 0.37 0.42 0.45 0.41 0.29 0.15 0.05 0.08 0.21 0.40 0.53 0.53 0.40 0.19 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.31 0.64 1.07 1.55 2.01 2.39 2.68 2.90 3.10 3.31 3.55 3.77 3.93 3.98 3.89 3.67 3.38 3.05 2.72 2.40 2.08 1.76 1.47 1.24 1.09 1.01 1.00 1.02 1.06 1.08 1.11 1.12 1.12 1.09 1.03 0.95 0.86 0.77 0.68 0.58 0.48 0.39 0.36 0.37 0.42 0.45 0.41 0.29 0.15 0.05 0.08 0.21 0.40 0.53 0.53 0.40 0.19 0.01 0.00 0.00 30.0 + 32.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.59 1.03 1.55 2.06 2.52 2.91 3.24 3.56 3.88 4.20 4.45 4.59 4.57 4.39 4.10 3.74 3.37 2.99 2.62 2.24 1.88 1.57 1.34 1.22 1.16 1.14 1.10 1.02 0.92 0.83 0.76 0.72 0.70 0.68 0.64 0.60 0.56 0.52 0.47 0.43 0.39 0.39 0.42 0.45 0.46 0.40 0.27 0.14 0.05 0.08 0.19 0.33 0.41 0.37 0.22 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.27 0.59 1.03 1.55 2.06 2.52 2.91 3.24 3.56 3.88 4.20 4.45 4.59 4.57 4.39 4.10 3.74 3.37 2.99 2.62 2.24 1.88 1.57 1.34 1.22 1.16 1.14 1.10 1.02 0.92 0.83 0.76 0.72 0.70 0.68 0.64 0.60 0.56 0.52 0.47 0.43 0.39 0.39 0.42 0.45 0.46 0.40 0.27 0.14 0.05 0.08 0.19 0.33 0.41 0.37 0.22 0.03 0.00 0.00 0.00 32.5 + 35.0 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.16 0.33 0.63 1.05 1.55 2.05 2.50 2.90 3.27 3.63 4.00 4.33 4.57 4.66 4.56 4.31 3.97 3.60 3.23 2.86 2.49 2.12 1.77 1.49 1.31 1.24 1.22 1.19 1.10 0.94 0.75 0.58 0.46 0.41 0.40 0.40 0.39 0.38 0.36 0.35 0.36 0.37 0.39 0.42 0.45 0.47 0.44 0.36 0.24 0.12 0.07 0.10 0.19 0.29 0.32 0.23 0.07 0.00 0.00 0.00 0.00 0.04 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.16 0.33 0.63 1.05 1.55 2.05 2.50 2.90 3.27 3.63 4.00 4.33 4.57 4.66 4.56 4.31 3.97 3.60 3.23 2.86 2.49 2.12 1.77 1.49 1.31 1.24 1.22 1.19 1.10 0.94 0.75 0.58 0.46 0.41 0.40 0.40 0.39 0.38 0.36 0.35 0.36 0.37 0.39 0.42 0.45 0.47 0.44 0.36 0.24 0.12 0.07 0.10 0.19 0.29 0.32 0.23 0.07 0.00 0.00 0.00 0.00 35.0 + 37.5 0.00 0.09 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.07 0.15 0.21 0.28 0.43 0.69 1.06 1.48 1.89 2.25 2.57 2.87 3.19 3.52 3.81 3.98 4.00 3.84 3.56 3.23 2.90 2.60 2.32 2.03 1.72 1.43 1.21 1.11 1.10 1.14 1.13 1.03 0.84 0.61 0.41 0.30 0.26 0.27 0.29 0.28 0.25 0.23 0.22 0.25 0.31 0.38 0.44 0.47 0.46 0.40 0.29 0.17 0.09 0.07 0.12 0.22 0.28 0.26 0.14 0.00 0.00 0.00 0.00 0.00 0.09 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.07 0.15 0.21 0.28 0.43 0.69 1.06 1.48 1.89 2.25 2.57 2.87 3.19 3.52 3.81 3.98 4.00 3.84 3.56 3.23 2.90 2.60 2.32 2.03 1.72 1.43 1.21 1.11 1.10 1.14 1.13 1.03 0.84 0.61 0.41 0.30 0.26 0.27 0.29 0.28 0.25 0.23 0.22 0.25 0.31 0.38 0.44 0.47 0.46 0.40 0.29 0.17 0.09 0.07 0.12 0.22 0.28 0.26 0.14 0.00 0.00 0.00 0.00 0.00 37.5 + 40.0 0.00 0.10 0.14 0.09 0.00 0.00 0.00 0.00 0.12 0.23 0.29 0.33 0.38 0.50 0.71 1.00 1.30 1.57 1.78 1.95 2.12 2.33 2.57 2.77 2.88 2.83 2.64 2.37 2.10 1.88 1.72 1.57 1.41 1.20 0.99 0.85 0.81 0.86 0.94 0.98 0.90 0.73 0.53 0.36 0.27 0.28 0.32 0.35 0.33 0.27 0.20 0.17 0.20 0.28 0.39 0.47 0.49 0.45 0.34 0.20 0.08 0.02 0.05 0.14 0.25 0.29 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.10 0.14 0.09 0.00 0.00 0.00 0.00 0.12 0.23 0.29 0.33 0.38 0.50 0.71 1.00 1.30 1.57 1.78 1.95 2.12 2.33 2.57 2.77 2.88 2.83 2.64 2.37 2.10 1.88 1.72 1.57 1.41 1.20 0.99 0.85 0.81 0.86 0.94 0.98 0.90 0.73 0.53 0.36 0.27 0.28 0.32 0.35 0.33 0.27 0.20 0.17 0.20 0.28 0.39 0.47 0.49 0.45 0.34 0.20 0.08 0.02 0.05 0.14 0.25 0.29 0.24 0.09 0.00 0.00 0.00 0.00 0.00 40.0 + 42.5 0.01 0.12 0.16 0.13 0.08 0.05 0.09 0.18 0.29 0.37 0.40 0.40 0.42 0.50 0.66 0.85 1.03 1.15 1.19 1.20 1.23 1.33 1.47 1.61 1.66 1.57 1.38 1.15 0.97 0.89 0.89 0.91 0.88 0.78 0.65 0.54 0.53 0.60 0.72 0.80 0.78 0.67 0.51 0.39 0.35 0.39 0.46 0.50 0.47 0.38 0.26 0.19 0.20 0.29 0.42 0.52 0.54 0.46 0.30 0.11 0.00 0.00 0.01 0.14 0.26 0.29 0.22 0.06 0.00 0.00 0.00 0.00 0.01 0.12 0.16 0.13 0.08 0.05 0.09 0.18 0.29 0.37 0.40 0.40 0.42 0.50 0.66 0.85 1.03 1.15 1.19 1.20 1.23 1.33 1.47 1.61 1.66 1.57 1.38 1.15 0.97 0.89 0.89 0.91 0.88 0.78 0.65 0.54 0.53 0.60 0.72 0.80 0.78 0.67 0.51 0.39 0.35 0.39 0.46 0.50 0.47 0.38 0.26 0.19 0.20 0.29 0.42 0.52 0.54 0.46 0.30 0.11 0.00 0.00 0.01 0.14 0.26 0.29 0.22 0.06 0.00 0.00 0.00 0.00 0.01 42.5 + 45.0 0.07 0.17 0.21 0.19 0.17 0.18 0.25 0.35 0.44 0.48 0.45 0.41 0.39 0.43 0.53 0.65 0.72 0.71 0.63 0.52 0.46 0.49 0.58 0.68 0.71 0.62 0.45 0.27 0.18 0.21 0.35 0.51 0.61 0.59 0.49 0.39 0.35 0.41 0.54 0.65 0.70 0.65 0.55 0.46 0.45 0.51 0.60 0.65 0.63 0.51 0.37 0.26 0.24 0.33 0.47 0.59 0.62 0.51 0.30 0.06 0.00 0.00 0.00 0.10 0.23 0.26 0.17 0.01 0.00 0.00 0.00 0.00 0.07 0.17 0.21 0.19 0.17 0.18 0.25 0.35 0.44 0.48 0.45 0.41 0.39 0.43 0.53 0.65 0.72 0.71 0.63 0.52 0.46 0.49 0.58 0.68 0.71 0.62 0.45 0.27 0.18 0.21 0.35 0.51 0.61 0.59 0.49 0.39 0.35 0.41 0.54 0.65 0.70 0.65 0.55 0.46 0.45 0.51 0.60 0.65 0.63 0.51 0.37 0.26 0.24 0.33 0.47 0.59 0.62 0.51 0.30 0.06 0.00 0.00 0.00 0.10 0.23 0.26 0.17 0.01 0.00 0.00 0.00 0.00 0.07 45.0 + 47.5 0.19 0.28 0.29 0.27 0.25 0.29 0.37 0.48 0.54 0.54 0.47 0.38 0.33 0.34 0.40 0.46 0.46 0.37 0.22 0.07 0.00 0.00 0.10 0.21 0.25 0.17 0.01 0.00 0.00 0.00 0.17 0.42 0.59 0.62 0.52 0.38 0.29 0.31 0.42 0.57 0.67 0.69 0.63 0.55 0.52 0.56 0.65 0.72 0.72 0.61 0.45 0.31 0.27 0.34 0.50 0.64 0.68 0.56 0.32 0.05 0.00 0.00 0.00 0.05 0.18 0.21 0.12 0.00 0.00 0.00 0.00 0.05 0.19 0.28 0.29 0.27 0.25 0.29 0.37 0.48 0.54 0.54 0.47 0.38 0.33 0.34 0.40 0.46 0.46 0.37 0.22 0.07 0.00 0.00 0.10 0.21 0.25 0.17 0.01 0.00 0.00 0.00 0.17 0.42 0.59 0.62 0.52 0.38 0.29 0.31 0.42 0.57 0.67 0.69 0.63 0.55 0.52 0.56 0.65 0.72 0.72 0.61 0.45 0.31 0.27 0.34 0.50 0.64 0.68 0.56 0.32 0.05 0.00 0.00 0.00 0.05 0.18 0.21 0.12 0.00 0.00 0.00 0.00 0.05 0.19 47.5 + 50.0 0.36 0.42 0.40 0.34 0.30 0.33 0.42 0.52 0.58 0.56 0.47 0.37 0.30 0.29 0.32 0.34 0.31 0.20 0.04 0.00 0.00 0.00 0.04 0.17 0.22 0.15 0.00 0.00 0.00 0.00 0.21 0.49 0.69 0.72 0.61 0.42 0.28 0.26 0.38 0.56 0.71 0.77 0.73 0.64 0.56 0.56 0.63 0.71 0.73 0.65 0.49 0.33 0.25 0.31 0.46 0.62 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.05 0.17 0.18 0.10 0.00 0.00 0.00 0.05 0.22 0.36 0.42 0.40 0.34 0.30 0.33 0.42 0.52 0.58 0.56 0.47 0.37 0.30 0.29 0.32 0.34 0.31 0.20 0.04 0.00 0.00 0.00 0.04 0.17 0.22 0.15 0.00 0.00 0.00 0.00 0.21 0.49 0.69 0.72 0.61 0.42 0.28 0.26 0.38 0.56 0.71 0.77 0.73 0.64 0.56 0.56 0.63 0.71 0.73 0.65 0.49 0.33 0.25 0.31 0.46 0.62 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.05 0.17 0.18 0.10 0.00 0.00 0.00 0.05 0.22 0.36 50.0 + 52.5 0.55 0.56 0.48 0.37 0.29 0.30 0.37 0.47 0.54 0.53 0.47 0.39 0.33 0.32 0.34 0.35 0.30 0.20 0.07 0.00 0.00 0.08 0.24 0.38 0.43 0.36 0.20 0.05 0.00 0.10 0.32 0.57 0.74 0.76 0.63 0.43 0.27 0.24 0.36 0.57 0.78 0.88 0.85 0.73 0.61 0.55 0.59 0.67 0.71 0.66 0.50 0.33 0.22 0.24 0.38 0.56 0.66 0.61 0.42 0.17 0.00 0.00 0.00 0.14 0.25 0.26 0.18 0.08 0.03 0.09 0.25 0.43 0.55 0.56 0.48 0.37 0.29 0.30 0.37 0.47 0.54 0.53 0.47 0.39 0.33 0.32 0.34 0.35 0.30 0.20 0.07 0.00 0.00 0.08 0.24 0.38 0.43 0.36 0.20 0.05 0.00 0.10 0.32 0.57 0.74 0.76 0.63 0.43 0.27 0.24 0.36 0.57 0.78 0.88 0.85 0.73 0.61 0.55 0.59 0.67 0.71 0.66 0.50 0.33 0.22 0.24 0.38 0.56 0.66 0.61 0.42 0.17 0.00 0.00 0.00 0.14 0.25 0.26 0.18 0.08 0.03 0.09 0.25 0.43 0.55 52.5 + 55.0 0.71 0.66 0.52 0.35 0.22 0.19 0.25 0.35 0.43 0.47 0.46 0.43 0.42 0.43 0.45 0.45 0.41 0.33 0.24 0.21 0.25 0.37 0.52 0.64 0.66 0.57 0.41 0.25 0.17 0.21 0.37 0.55 0.68 0.68 0.55 0.36 0.21 0.20 0.34 0.59 0.83 0.97 0.96 0.83 0.67 0.58 0.58 0.66 0.72 0.69 0.55 0.36 0.22 0.21 0.33 0.51 0.65 0.66 0.54 0.35 0.20 0.16 0.24 0.37 0.47 0.48 0.40 0.30 0.27 0.33 0.48 0.63 0.71 0.66 0.52 0.35 0.22 0.19 0.25 0.35 0.43 0.47 0.46 0.43 0.42 0.43 0.45 0.45 0.41 0.33 0.24 0.21 0.25 0.37 0.52 0.64 0.66 0.57 0.41 0.25 0.17 0.21 0.37 0.55 0.68 0.68 0.55 0.36 0.21 0.20 0.34 0.59 0.83 0.97 0.96 0.83 0.67 0.58 0.58 0.66 0.72 0.69 0.55 0.36 0.22 0.21 0.33 0.51 0.65 0.66 0.54 0.35 0.20 0.16 0.24 0.37 0.47 0.48 0.40 0.30 0.27 0.33 0.48 0.63 0.71 55.0 + 57.5 0.80 0.70 0.51 0.28 0.12 0.05 0.09 0.18 0.29 0.37 0.42 0.46 0.49 0.53 0.56 0.56 0.53 0.48 0.44 0.45 0.52 0.63 0.74 0.79 0.77 0.67 0.51 0.37 0.28 0.28 0.36 0.46 0.52 0.49 0.38 0.23 0.12 0.14 0.30 0.56 0.82 0.98 1.00 0.89 0.74 0.64 0.64 0.72 0.80 0.79 0.68 0.50 0.35 0.32 0.42 0.60 0.77 0.83 0.77 0.65 0.54 0.52 0.60 0.72 0.81 0.80 0.72 0.61 0.56 0.60 0.70 0.79 0.80 0.70 0.51 0.28 0.12 0.05 0.09 0.18 0.29 0.37 0.42 0.46 0.49 0.53 0.56 0.56 0.53 0.48 0.44 0.45 0.52 0.63 0.74 0.79 0.77 0.67 0.51 0.37 0.28 0.28 0.36 0.46 0.52 0.49 0.38 0.23 0.12 0.14 0.30 0.56 0.82 0.98 1.00 0.89 0.74 0.64 0.64 0.72 0.80 0.79 0.68 0.50 0.35 0.32 0.42 0.60 0.77 0.83 0.77 0.65 0.54 0.52 0.60 0.72 0.81 0.80 0.72 0.61 0.56 0.60 0.70 0.79 0.80 57.5 + 60.0 0.82 0.68 0.45 0.21 0.03 0.00 0.00 0.03 0.14 0.24 0.34 0.42 0.49 0.55 0.58 0.59 0.57 0.55 0.55 0.60 0.67 0.75 0.79 0.78 0.72 0.62 0.51 0.42 0.35 0.33 0.34 0.35 0.34 0.29 0.19 0.08 0.02 0.06 0.21 0.45 0.71 0.89 0.94 0.89 0.79 0.74 0.77 0.87 0.97 1.01 0.94 0.81 0.69 0.66 0.75 0.91 1.08 1.16 1.15 1.06 0.98 0.97 1.03 1.12 1.18 1.16 1.05 0.92 0.83 0.80 0.84 0.86 0.82 0.68 0.45 0.21 0.03 0.00 0.00 0.03 0.14 0.24 0.34 0.42 0.49 0.55 0.58 0.59 0.57 0.55 0.55 0.60 0.67 0.75 0.79 0.78 0.72 0.62 0.51 0.42 0.35 0.33 0.34 0.35 0.34 0.29 0.19 0.08 0.02 0.06 0.21 0.45 0.71 0.89 0.94 0.89 0.79 0.74 0.77 0.87 0.97 1.01 0.94 0.81 0.69 0.66 0.75 0.91 1.08 1.16 1.15 1.06 0.98 0.97 1.03 1.12 1.18 1.16 1.05 0.92 0.83 0.80 0.84 0.86 0.82 60.0 + 62.5 0.76 0.61 0.40 0.17 0.00 0.00 0.00 0.00 0.02 0.11 0.21 0.30 0.38 0.44 0.47 0.46 0.45 0.46 0.51 0.58 0.66 0.69 0.67 0.61 0.53 0.46 0.42 0.40 0.39 0.36 0.32 0.26 0.19 0.11 0.03 0.00 0.00 0.00 0.08 0.28 0.51 0.70 0.81 0.84 0.84 0.86 0.95 1.10 1.26 1.36 1.37 1.32 1.26 1.25 1.33 1.46 1.59 1.65 1.62 1.52 1.43 1.39 1.42 1.47 1.49 1.44 1.31 1.14 0.99 0.90 0.87 0.84 0.76 0.61 0.40 0.17 0.00 0.00 0.00 0.00 0.02 0.11 0.21 0.30 0.38 0.44 0.47 0.46 0.45 0.46 0.51 0.58 0.66 0.69 0.67 0.61 0.53 0.46 0.42 0.40 0.39 0.36 0.32 0.26 0.19 0.11 0.03 0.00 0.00 0.00 0.08 0.28 0.51 0.70 0.81 0.84 0.84 0.86 0.95 1.10 1.26 1.36 1.37 1.32 1.26 1.25 1.33 1.46 1.59 1.65 1.62 1.52 1.43 1.39 1.42 1.47 1.49 1.44 1.31 1.14 0.99 0.90 0.87 0.84 0.76 62.5 + 65.0 0.66 0.53 0.35 0.17 0.03 0.00 0.00 0.00 0.00 0.02 0.08 0.15 0.21 0.24 0.24 0.22 0.21 0.24 0.32 0.42 0.48 0.49 0.43 0.33 0.26 0.23 0.27 0.33 0.36 0.34 0.27 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.67 0.82 0.94 1.07 1.25 1.47 1.69 1.87 1.98 2.02 2.03 2.05 2.10 2.17 2.22 2.20 2.09 1.94 1.79 1.70 1.67 1.68 1.66 1.58 1.42 1.22 1.03 0.89 0.80 0.74 0.66 0.53 0.35 0.17 0.03 0.00 0.00 0.00 0.00 0.02 0.08 0.15 0.21 0.24 0.24 0.22 0.21 0.24 0.32 0.42 0.48 0.49 0.43 0.33 0.26 0.23 0.27 0.33 0.36 0.34 0.27 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.67 0.82 0.94 1.07 1.25 1.47 1.69 1.87 1.98 2.02 2.03 2.05 2.10 2.17 2.22 2.20 2.09 1.94 1.79 1.70 1.67 1.68 1.66 1.58 1.42 1.22 1.03 0.89 0.80 0.74 0.66 65.0 + 67.5 0.55 0.46 0.34 0.22 0.12 0.05 0.02 0.00 0.00 0.00 0.03 0.05 0.07 0.06 0.02 0.00 0.00 0.00 0.09 0.20 0.25 0.23 0.14 0.03 0.00 0.00 0.08 0.19 0.26 0.24 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.40 0.68 0.94 1.19 1.44 1.70 2.00 2.29 2.56 2.75 2.86 2.91 2.92 2.91 2.88 2.81 2.67 2.46 2.22 2.00 1.83 1.75 1.71 1.67 1.57 1.40 1.18 0.96 0.79 0.69 0.62 0.55 0.46 0.34 0.22 0.12 0.05 0.02 0.00 0.00 0.00 0.03 0.05 0.07 0.06 0.02 0.00 0.00 0.00 0.09 0.20 0.25 0.23 0.14 0.03 0.00 0.00 0.08 0.19 0.26 0.24 0.14 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.40 0.68 0.94 1.19 1.44 1.70 2.00 2.29 2.56 2.75 2.86 2.91 2.92 2.91 2.88 2.81 2.67 2.46 2.22 2.00 1.83 1.75 1.71 1.67 1.57 1.40 1.18 0.96 0.79 0.69 0.62 0.55 67.5 + 70.0 0.49 0.44 0.38 0.31 0.25 0.20 0.17 0.14 0.11 0.10 0.10 0.10 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.54 0.92 1.30 1.66 2.00 2.34 2.68 3.03 3.35 3.59 3.73 3.76 3.70 3.58 3.42 3.22 2.95 2.65 2.32 2.01 1.79 1.65 1.59 1.54 1.45 1.29 1.08 0.87 0.70 0.59 0.54 0.49 0.44 0.38 0.31 0.25 0.20 0.17 0.14 0.11 0.10 0.10 0.10 0.08 0.02 0.00 0.00 0.00 0.00 0.00 0.07 0.12 0.07 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.54 0.92 1.30 1.66 2.00 2.34 2.68 3.03 3.35 3.59 3.73 3.76 3.70 3.58 3.42 3.22 2.95 2.65 2.32 2.01 1.79 1.65 1.59 1.54 1.45 1.29 1.08 0.87 0.70 0.59 0.54 0.49 70.0 + 72.5 0.50 0.48 0.45 0.41 0.38 0.35 0.33 0.31 0.29 0.29 0.30 0.30 0.27 0.19 0.07 0.00 0.00 0.00 0.07 0.17 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.48 0.90 1.38 1.86 2.29 2.68 3.04 3.41 3.77 4.10 4.34 4.45 4.40 4.23 3.97 3.67 3.34 2.99 2.61 2.23 1.88 1.62 1.45 1.37 1.33 1.27 1.15 0.99 0.81 0.66 0.57 0.53 0.50 0.48 0.45 0.41 0.38 0.35 0.33 0.31 0.29 0.29 0.30 0.30 0.27 0.19 0.07 0.00 0.00 0.00 0.07 0.17 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.48 0.90 1.38 1.86 2.29 2.68 3.04 3.41 3.77 4.10 4.34 4.45 4.40 4.23 3.97 3.67 3.34 2.99 2.61 2.23 1.88 1.62 1.45 1.37 1.33 1.27 1.15 0.99 0.81 0.66 0.57 0.53 0.50 72.5 + 75.0 0.57 0.57 0.55 0.53 0.51 0.48 0.46 0.45 0.46 0.50 0.56 0.61 0.60 0.51 0.37 0.25 0.20 0.26 0.39 0.51 0.53 0.43 0.25 0.06 0.00 0.00 0.04 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.31 0.54 0.91 1.40 1.94 2.46 2.91 3.28 3.62 3.95 4.28 4.59 4.79 4.83 4.68 4.38 3.97 3.54 3.14 2.75 2.38 2.01 1.66 1.38 1.20 1.11 1.09 1.08 1.03 0.93 0.81 0.69 0.62 0.59 0.57 0.57 0.55 0.53 0.51 0.48 0.46 0.45 0.46 0.50 0.56 0.61 0.60 0.51 0.37 0.25 0.20 0.26 0.39 0.51 0.53 0.43 0.25 0.06 0.00 0.00 0.04 0.08 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.31 0.54 0.91 1.40 1.94 2.46 2.91 3.28 3.62 3.95 4.28 4.59 4.79 4.83 4.68 4.38 3.97 3.54 3.14 2.75 2.38 2.01 1.66 1.38 1.20 1.11 1.09 1.08 1.03 0.93 0.81 0.69 0.62 0.59 0.57 75.0 + 77.5 0.66 0.66 0.65 0.63 0.60 0.57 0.53 0.52 0.56 0.65 0.78 0.90 0.93 0.86 0.71 0.58 0.54 0.63 0.81 0.98 1.02 0.92 0.70 0.48 0.35 0.33 0.37 0.37 0.26 0.06 0.00 0.00 0.00 0.00 0.18 0.40 0.55 0.64 0.76 0.98 1.35 1.85 2.39 2.89 3.29 3.59 3.83 4.08 4.36 4.62 4.78 4.76 4.51 4.08 3.57 3.06 2.64 2.30 2.00 1.71 1.41 1.13 0.93 0.84 0.83 0.87 0.89 0.88 0.83 0.76 0.71 0.67 0.66 0.66 0.65 0.63 0.60 0.57 0.53 0.52 0.56 0.65 0.78 0.90 0.93 0.86 0.71 0.58 0.54 0.63 0.81 0.98 1.02 0.92 0.70 0.48 0.35 0.33 0.37 0.37 0.26 0.06 0.00 0.00 0.00 0.00 0.18 0.40 0.55 0.64 0.76 0.98 1.35 1.85 2.39 2.89 3.29 3.59 3.83 4.08 4.36 4.62 4.78 4.76 4.51 4.08 3.57 3.06 2.64 2.30 2.00 1.71 1.41 1.13 0.93 0.84 0.83 0.87 0.89 0.88 0.83 0.76 0.71 0.67 0.66 77.5 + 80.0 0.72 0.71 0.71 0.70 0.65 0.59 0.51 0.48 0.52 0.66 0.86 1.05 1.14 1.09 0.94 0.79 0.76 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.74 0.71 0.74 0.73 0.61 0.38 0.14 0.01 0.08 0.31 0.63 0.92 1.09 1.17 1.23 1.38 1.67 2.09 2.57 2.99 3.28 3.46 3.57 3.71 3.91 4.13 4.27 4.22 3.92 3.42 2.84 2.32 1.94 1.70 1.54 1.37 1.15 0.89 0.67 0.55 0.54 0.62 0.73 0.81 0.83 0.81 0.77 0.73 0.72 0.71 0.71 0.70 0.65 0.59 0.51 0.48 0.52 0.66 0.86 1.05 1.14 1.09 0.94 0.79 0.76 0.90 1.15 1.39 1.48 1.39 1.15 0.90 0.74 0.71 0.74 0.73 0.61 0.38 0.14 0.01 0.08 0.31 0.63 0.92 1.09 1.17 1.23 1.38 1.67 2.09 2.57 2.99 3.28 3.46 3.57 3.71 3.91 4.13 4.27 4.22 3.92 3.42 2.84 2.32 1.94 1.70 1.54 1.37 1.15 0.89 0.67 0.55 0.54 0.62 0.73 0.81 0.83 0.81 0.77 0.73 0.72 80.0 + 82.5 0.71 0.71 0.72 0.71 0.65 0.54 0.41 0.32 0.34 0.50 0.76 1.01 1.15 1.11 0.95 0.79 0.76 0.93 1.26 1.58 1.74 1.67 1.43 1.15 0.98 0.95 1.00 1.03 0.94 0.72 0.49 0.37 0.46 0.74 1.12 1.45 1.63 1.66 1.62 1.63 1.78 2.07 2.43 2.74 2.91 2.95 2.92 2.94 3.07 3.26 3.41 3.38 3.08 2.57 1.98 1.48 1.18 1.08 1.07 1.04 0.90 0.67 0.42 0.25 0.23 0.35 0.52 0.68 0.78 0.80 0.77 0.73 0.71 0.71 0.72 0.71 0.65 0.54 0.41 0.32 0.34 0.50 0.76 1.01 1.15 1.11 0.95 0.79 0.76 0.93 1.26 1.58 1.74 1.67 1.43 1.15 0.98 0.95 1.00 1.03 0.94 0.72 0.49 0.37 0.46 0.74 1.12 1.45 1.63 1.66 1.62 1.63 1.78 2.07 2.43 2.74 2.91 2.95 2.92 2.94 3.07 3.26 3.41 3.38 3.08 2.57 1.98 1.48 1.18 1.08 1.07 1.04 0.90 0.67 0.42 0.25 0.23 0.35 0.52 0.68 0.78 0.80 0.77 0.73 0.71 82.5 + 85.0 0.65 0.66 0.69 0.68 0.61 0.45 0.25 0.10 0.09 0.24 0.53 0.83 1.00 0.97 0.78 0.58 0.54 0.73 1.10 1.50 1.73 1.71 1.47 1.19 1.00 0.98 1.09 1.18 1.16 1.00 0.80 0.70 0.81 1.13 1.54 1.90 2.08 2.05 1.88 1.73 1.71 1.85 2.08 2.28 2.35 2.27 2.13 2.05 2.11 2.29 2.48 2.50 2.26 1.78 1.22 0.75 0.52 0.54 0.67 0.77 0.70 0.48 0.20 0.00 0.00 0.07 0.30 0.53 0.69 0.74 0.72 0.68 0.65 0.66 0.69 0.68 0.61 0.45 0.25 0.10 0.09 0.24 0.53 0.83 1.00 0.97 0.78 0.58 0.54 0.73 1.10 1.50 1.73 1.71 1.47 1.19 1.00 0.98 1.09 1.18 1.16 1.00 0.80 0.70 0.81 1.13 1.54 1.90 2.08 2.05 1.88 1.73 1.71 1.85 2.08 2.28 2.35 2.27 2.13 2.05 2.11 2.29 2.48 2.50 2.26 1.78 1.22 0.75 0.52 0.54 0.67 0.77 0.70 0.48 0.20 0.00 0.00 0.07 0.30 0.53 0.69 0.74 0.72 0.68 0.65 85.0 + 87.5 0.58 0.60 0.64 0.64 0.56 0.37 0.12 0.00 0.00 0.00 0.28 0.60 0.79 0.76 0.55 0.31 0.23 0.42 0.82 1.27 1.57 1.60 1.40 1.11 0.92 0.92 1.06 1.23 1.30 1.21 1.06 0.98 1.09 1.41 1.84 2.21 2.37 2.28 2.01 1.71 1.53 1.54 1.67 1.80 1.82 1.69 1.48 1.33 1.35 1.53 1.76 1.86 1.70 1.27 0.74 0.31 0.12 0.21 0.43 0.61 0.60 0.39 0.08 0.00 0.00 0.00 0.13 0.40 0.59 0.67 0.66 0.61 0.58 0.60 0.64 0.64 0.56 0.37 0.12 0.00 0.00 0.00 0.28 0.60 0.79 0.76 0.55 0.31 0.23 0.42 0.82 1.27 1.57 1.60 1.40 1.11 0.92 0.92 1.06 1.23 1.30 1.21 1.06 0.98 1.09 1.41 1.84 2.21 2.37 2.28 2.01 1.71 1.53 1.54 1.67 1.80 1.82 1.69 1.48 1.33 1.35 1.53 1.76 1.86 1.70 1.27 0.74 0.31 0.12 0.21 0.43 0.61 0.60 0.39 0.08 0.00 0.00 0.00 0.13 0.40 0.59 0.67 0.66 0.61 0.58 87.5 + 90.0 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 90.0 + + 62.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.99 ) PHI2 = 63. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.0 + 2.5 0.36 0.39 0.49 0.65 0.85 1.06 1.28 1.53 1.78 2.03 2.21 2.29 2.25 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.72 0.92 1.13 1.36 1.59 1.83 2.05 2.20 2.24 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.36 0.36 0.39 0.49 0.65 0.85 1.06 1.28 1.53 1.78 2.03 2.21 2.29 2.25 2.09 1.86 1.61 1.37 1.15 0.93 0.72 0.55 0.43 0.38 0.37 0.34 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.72 0.92 1.13 1.36 1.59 1.83 2.05 2.20 2.24 2.17 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.36 0.36 2.5 + 5.0 0.29 0.29 0.36 0.50 0.69 0.91 1.15 1.43 1.74 2.05 2.30 2.44 2.42 2.28 2.04 1.77 1.49 1.24 1.01 0.79 0.61 0.48 0.42 0.40 0.38 0.31 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.52 0.60 0.74 0.94 1.17 1.42 1.68 1.92 2.13 2.24 2.25 2.13 1.92 1.65 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.27 0.06 0.00 0.00 0.00 0.09 0.26 0.37 0.39 0.34 0.29 0.29 0.36 0.50 0.69 0.91 1.15 1.43 1.74 2.05 2.30 2.44 2.42 2.28 2.04 1.77 1.49 1.24 1.01 0.79 0.61 0.48 0.42 0.40 0.38 0.31 0.16 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.52 0.60 0.74 0.94 1.17 1.42 1.68 1.92 2.13 2.24 2.25 2.13 1.92 1.65 1.38 1.12 0.88 0.67 0.51 0.40 0.38 0.42 0.48 0.50 0.43 0.27 0.06 0.00 0.00 0.00 0.09 0.26 0.37 0.39 0.34 0.29 5.0 + 7.5 0.24 0.20 0.24 0.35 0.52 0.73 0.98 1.29 1.66 2.04 2.37 2.58 2.63 2.51 2.28 1.99 1.70 1.44 1.20 0.99 0.81 0.67 0.60 0.58 0.58 0.55 0.45 0.29 0.13 0.03 0.04 0.16 0.35 0.53 0.65 0.69 0.67 0.66 0.69 0.79 0.97 1.20 1.48 1.76 2.01 2.19 2.26 2.21 2.04 1.80 1.52 1.23 0.95 0.70 0.50 0.37 0.33 0.38 0.49 0.60 0.65 0.60 0.47 0.30 0.19 0.16 0.24 0.37 0.47 0.50 0.45 0.34 0.24 0.20 0.24 0.35 0.52 0.73 0.98 1.29 1.66 2.04 2.37 2.58 2.63 2.51 2.28 1.99 1.70 1.44 1.20 0.99 0.81 0.67 0.60 0.58 0.58 0.55 0.45 0.29 0.13 0.03 0.04 0.16 0.35 0.53 0.65 0.69 0.67 0.66 0.69 0.79 0.97 1.20 1.48 1.76 2.01 2.19 2.26 2.21 2.04 1.80 1.52 1.23 0.95 0.70 0.50 0.37 0.33 0.38 0.49 0.60 0.65 0.60 0.47 0.30 0.19 0.16 0.24 0.37 0.47 0.50 0.45 0.34 0.24 7.5 + 10.0 0.25 0.19 0.20 0.27 0.40 0.57 0.81 1.12 1.52 1.96 2.36 2.65 2.76 2.70 2.50 2.24 1.96 1.73 1.52 1.34 1.18 1.06 0.98 0.96 0.98 0.98 0.92 0.80 0.63 0.50 0.46 0.52 0.67 0.83 0.93 0.96 0.91 0.84 0.80 0.85 0.99 1.23 1.51 1.80 2.04 2.17 2.19 2.09 1.90 1.65 1.37 1.10 0.83 0.59 0.41 0.32 0.34 0.45 0.60 0.74 0.79 0.73 0.61 0.48 0.40 0.42 0.51 0.61 0.66 0.62 0.51 0.37 0.25 0.19 0.20 0.27 0.40 0.57 0.81 1.12 1.52 1.96 2.36 2.65 2.76 2.70 2.50 2.24 1.96 1.73 1.52 1.34 1.18 1.06 0.98 0.96 0.98 0.98 0.92 0.80 0.63 0.50 0.46 0.52 0.67 0.83 0.93 0.96 0.91 0.84 0.80 0.85 0.99 1.23 1.51 1.80 2.04 2.17 2.19 2.09 1.90 1.65 1.37 1.10 0.83 0.59 0.41 0.32 0.34 0.45 0.60 0.74 0.79 0.73 0.61 0.48 0.40 0.42 0.51 0.61 0.66 0.62 0.51 0.37 0.25 10.0 + 12.5 0.30 0.24 0.23 0.27 0.34 0.46 0.65 0.93 1.32 1.77 2.21 2.56 2.75 2.76 2.63 2.43 2.23 2.05 1.91 1.78 1.65 1.54 1.46 1.44 1.47 1.50 1.47 1.36 1.19 1.01 0.91 0.91 1.01 1.15 1.24 1.24 1.15 1.02 0.92 0.90 1.01 1.23 1.51 1.79 2.00 2.09 2.06 1.92 1.71 1.48 1.25 1.01 0.78 0.57 0.42 0.37 0.42 0.57 0.73 0.85 0.86 0.77 0.64 0.53 0.50 0.56 0.67 0.75 0.77 0.69 0.56 0.42 0.30 0.24 0.23 0.27 0.34 0.46 0.65 0.93 1.32 1.77 2.21 2.56 2.75 2.76 2.63 2.43 2.23 2.05 1.91 1.78 1.65 1.54 1.46 1.44 1.47 1.50 1.47 1.36 1.19 1.01 0.91 0.91 1.01 1.15 1.24 1.24 1.15 1.02 0.92 0.90 1.01 1.23 1.51 1.79 2.00 2.09 2.06 1.92 1.71 1.48 1.25 1.01 0.78 0.57 0.42 0.37 0.42 0.57 0.73 0.85 0.86 0.77 0.64 0.53 0.50 0.56 0.67 0.75 0.77 0.69 0.56 0.42 0.30 12.5 + 15.0 0.36 0.31 0.29 0.29 0.31 0.36 0.49 0.72 1.07 1.49 1.93 2.31 2.56 2.66 2.62 2.52 2.40 2.31 2.23 2.14 2.04 1.93 1.85 1.83 1.86 1.90 1.90 1.80 1.61 1.40 1.25 1.21 1.27 1.38 1.46 1.44 1.31 1.14 0.98 0.93 1.01 1.22 1.49 1.75 1.93 1.97 1.90 1.73 1.53 1.33 1.15 0.97 0.78 0.61 0.49 0.46 0.54 0.69 0.83 0.89 0.84 0.71 0.56 0.48 0.50 0.60 0.73 0.81 0.80 0.71 0.57 0.45 0.36 0.31 0.29 0.29 0.31 0.36 0.49 0.72 1.07 1.49 1.93 2.31 2.56 2.66 2.62 2.52 2.40 2.31 2.23 2.14 2.04 1.93 1.85 1.83 1.86 1.90 1.90 1.80 1.61 1.40 1.25 1.21 1.27 1.38 1.46 1.44 1.31 1.14 0.98 0.93 1.01 1.22 1.49 1.75 1.93 1.97 1.90 1.73 1.53 1.33 1.15 0.97 0.78 0.61 0.49 0.46 0.54 0.69 0.83 0.89 0.84 0.71 0.56 0.48 0.50 0.60 0.73 0.81 0.80 0.71 0.57 0.45 0.36 15.0 + 17.5 0.36 0.32 0.30 0.27 0.23 0.24 0.31 0.49 0.77 1.15 1.56 1.93 2.22 2.39 2.45 2.46 2.44 2.42 2.39 2.32 2.22 2.09 2.00 1.97 2.01 2.07 2.08 1.98 1.80 1.57 1.40 1.33 1.37 1.46 1.51 1.47 1.32 1.13 0.96 0.91 1.00 1.21 1.49 1.73 1.88 1.88 1.77 1.59 1.40 1.23 1.08 0.94 0.79 0.64 0.55 0.54 0.62 0.75 0.85 0.85 0.74 0.57 0.43 0.38 0.46 0.61 0.75 0.81 0.77 0.66 0.53 0.42 0.36 0.32 0.30 0.27 0.23 0.24 0.31 0.49 0.77 1.15 1.56 1.93 2.22 2.39 2.45 2.46 2.44 2.42 2.39 2.32 2.22 2.09 2.00 1.97 2.01 2.07 2.08 1.98 1.80 1.57 1.40 1.33 1.37 1.46 1.51 1.47 1.32 1.13 0.96 0.91 1.00 1.21 1.49 1.73 1.88 1.88 1.77 1.59 1.40 1.23 1.08 0.94 0.79 0.64 0.55 0.54 0.62 0.75 0.85 0.85 0.74 0.57 0.43 0.38 0.46 0.61 0.75 0.81 0.77 0.66 0.53 0.42 0.36 17.5 + 20.0 0.28 0.25 0.21 0.15 0.09 0.06 0.10 0.24 0.48 0.79 1.14 1.48 1.78 2.00 2.16 2.27 2.35 2.39 2.38 2.31 2.19 2.04 1.94 1.91 1.97 2.04 2.06 1.97 1.79 1.57 1.40 1.32 1.34 1.39 1.41 1.34 1.19 1.01 0.88 0.86 0.98 1.22 1.50 1.73 1.85 1.84 1.71 1.52 1.34 1.18 1.04 0.91 0.77 0.63 0.55 0.55 0.63 0.74 0.80 0.76 0.61 0.43 0.30 0.31 0.44 0.63 0.78 0.81 0.73 0.58 0.43 0.33 0.28 0.25 0.21 0.15 0.09 0.06 0.10 0.24 0.48 0.79 1.14 1.48 1.78 2.00 2.16 2.27 2.35 2.39 2.38 2.31 2.19 2.04 1.94 1.91 1.97 2.04 2.06 1.97 1.79 1.57 1.40 1.32 1.34 1.39 1.41 1.34 1.19 1.01 0.88 0.86 0.98 1.22 1.50 1.73 1.85 1.84 1.71 1.52 1.34 1.18 1.04 0.91 0.77 0.63 0.55 0.55 0.63 0.74 0.80 0.76 0.61 0.43 0.30 0.31 0.44 0.63 0.78 0.81 0.73 0.58 0.43 0.33 0.28 20.0 + 22.5 0.15 0.11 0.05 0.00 0.00 0.00 0.00 0.01 0.22 0.47 0.75 1.04 1.31 1.58 1.81 2.02 2.19 2.29 2.31 2.24 2.11 1.97 1.89 1.89 1.96 2.04 2.06 1.98 1.79 1.58 1.40 1.30 1.28 1.28 1.25 1.15 1.00 0.85 0.77 0.81 0.98 1.23 1.50 1.72 1.82 1.80 1.67 1.50 1.31 1.16 1.01 0.87 0.72 0.58 0.50 0.51 0.59 0.69 0.72 0.65 0.48 0.31 0.24 0.30 0.48 0.69 0.82 0.81 0.67 0.48 0.31 0.20 0.15 0.11 0.05 0.00 0.00 0.00 0.00 0.01 0.22 0.47 0.75 1.04 1.31 1.58 1.81 2.02 2.19 2.29 2.31 2.24 2.11 1.97 1.89 1.89 1.96 2.04 2.06 1.98 1.79 1.58 1.40 1.30 1.28 1.28 1.25 1.15 1.00 0.85 0.77 0.81 0.98 1.23 1.50 1.72 1.82 1.80 1.67 1.50 1.31 1.16 1.01 0.87 0.72 0.58 0.50 0.51 0.59 0.69 0.72 0.65 0.48 0.31 0.24 0.30 0.48 0.69 0.82 0.81 0.67 0.48 0.31 0.20 0.15 22.5 + 25.0 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.43 0.66 0.91 1.19 1.50 1.81 2.07 2.25 2.32 2.30 2.21 2.13 2.11 2.16 2.26 2.34 2.34 2.22 2.02 1.78 1.57 1.43 1.34 1.26 1.15 1.01 0.85 0.74 0.72 0.80 0.98 1.21 1.45 1.63 1.71 1.69 1.58 1.43 1.27 1.12 0.97 0.82 0.66 0.53 0.46 0.47 0.56 0.64 0.66 0.57 0.40 0.26 0.22 0.34 0.55 0.76 0.86 0.79 0.61 0.38 0.20 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.22 0.43 0.66 0.91 1.19 1.50 1.81 2.07 2.25 2.32 2.30 2.21 2.13 2.11 2.16 2.26 2.34 2.34 2.22 2.02 1.78 1.57 1.43 1.34 1.26 1.15 1.01 0.85 0.74 0.72 0.80 0.98 1.21 1.45 1.63 1.71 1.69 1.58 1.43 1.27 1.12 0.97 0.82 0.66 0.53 0.46 0.47 0.56 0.64 0.66 0.57 0.40 0.26 0.22 0.34 0.55 0.76 0.86 0.79 0.61 0.38 0.20 0.09 0.04 25.0 + 27.5 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.40 0.62 0.92 1.29 1.69 2.06 2.35 2.52 2.59 2.61 2.65 2.73 2.86 2.99 3.04 2.98 2.80 2.53 2.23 1.97 1.75 1.56 1.38 1.18 0.99 0.84 0.75 0.75 0.84 0.98 1.15 1.30 1.41 1.46 1.44 1.37 1.26 1.14 1.02 0.89 0.76 0.61 0.50 0.45 0.48 0.56 0.63 0.63 0.53 0.38 0.25 0.25 0.38 0.60 0.78 0.84 0.73 0.51 0.28 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.40 0.62 0.92 1.29 1.69 2.06 2.35 2.52 2.59 2.61 2.65 2.73 2.86 2.99 3.04 2.98 2.80 2.53 2.23 1.97 1.75 1.56 1.38 1.18 0.99 0.84 0.75 0.75 0.84 0.98 1.15 1.30 1.41 1.46 1.44 1.37 1.26 1.14 1.02 0.89 0.76 0.61 0.50 0.45 0.48 0.56 0.63 0.63 0.53 0.38 0.25 0.25 0.38 0.60 0.78 0.84 0.73 0.51 0.28 0.11 0.03 0.00 27.5 + 30.0 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.28 0.47 0.78 1.21 1.69 2.17 2.56 2.85 3.05 3.22 3.40 3.61 3.81 3.95 3.96 3.81 3.53 3.17 2.80 2.47 2.16 1.87 1.59 1.32 1.09 0.94 0.87 0.87 0.92 0.98 1.04 1.07 1.09 1.10 1.08 1.04 0.98 0.91 0.84 0.75 0.66 0.56 0.49 0.47 0.52 0.60 0.65 0.63 0.52 0.37 0.27 0.27 0.41 0.60 0.74 0.75 0.61 0.39 0.18 0.06 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.28 0.47 0.78 1.21 1.69 2.17 2.56 2.85 3.05 3.22 3.40 3.61 3.81 3.95 3.96 3.81 3.53 3.17 2.80 2.47 2.16 1.87 1.59 1.32 1.09 0.94 0.87 0.87 0.92 0.98 1.04 1.07 1.09 1.10 1.08 1.04 0.98 0.91 0.84 0.75 0.66 0.56 0.49 0.47 0.52 0.60 0.65 0.63 0.52 0.37 0.27 0.27 0.41 0.60 0.74 0.75 0.61 0.39 0.18 0.06 0.03 0.02 30.0 + 32.5 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.20 0.30 0.47 0.79 1.24 1.77 2.31 2.78 3.16 3.48 3.78 4.09 4.39 4.64 4.75 4.69 4.44 4.06 3.63 3.21 2.82 2.45 2.10 1.75 1.44 1.21 1.07 1.02 1.02 1.01 0.97 0.89 0.80 0.74 0.69 0.68 0.66 0.64 0.62 0.59 0.56 0.52 0.49 0.48 0.51 0.57 0.64 0.67 0.62 0.50 0.36 0.27 0.28 0.40 0.55 0.64 0.60 0.44 0.23 0.08 0.02 0.05 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.20 0.30 0.47 0.79 1.24 1.77 2.31 2.78 3.16 3.48 3.78 4.09 4.39 4.64 4.75 4.69 4.44 4.06 3.63 3.21 2.82 2.45 2.10 1.75 1.44 1.21 1.07 1.02 1.02 1.01 0.97 0.89 0.80 0.74 0.69 0.68 0.66 0.64 0.62 0.59 0.56 0.52 0.49 0.48 0.51 0.57 0.64 0.67 0.62 0.50 0.36 0.27 0.28 0.40 0.55 0.64 0.60 0.44 0.23 0.08 0.02 0.05 0.10 32.5 + 35.0 0.16 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.33 0.41 0.58 0.88 1.31 1.84 2.37 2.85 3.25 3.62 3.97 4.34 4.68 4.93 4.99 4.85 4.52 4.08 3.62 3.20 2.81 2.45 2.08 1.73 1.43 1.23 1.14 1.12 1.12 1.06 0.93 0.75 0.57 0.44 0.37 0.36 0.36 0.37 0.36 0.36 0.36 0.37 0.40 0.45 0.52 0.59 0.64 0.64 0.56 0.44 0.31 0.23 0.26 0.36 0.48 0.51 0.43 0.26 0.08 0.00 0.00 0.07 0.16 0.16 0.05 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.33 0.41 0.58 0.88 1.31 1.84 2.37 2.85 3.25 3.62 3.97 4.34 4.68 4.93 4.99 4.85 4.52 4.08 3.62 3.20 2.81 2.45 2.08 1.73 1.43 1.23 1.14 1.12 1.12 1.06 0.93 0.75 0.57 0.44 0.37 0.36 0.36 0.37 0.36 0.36 0.36 0.37 0.40 0.45 0.52 0.59 0.64 0.64 0.56 0.44 0.31 0.23 0.26 0.36 0.48 0.51 0.43 0.26 0.08 0.00 0.00 0.07 0.16 35.0 + 37.5 0.17 0.19 0.11 0.00 0.00 0.00 0.00 0.10 0.29 0.42 0.49 0.56 0.70 0.96 1.34 1.80 2.25 2.65 2.99 3.30 3.63 3.98 4.29 4.49 4.49 4.28 3.92 3.48 3.06 2.71 2.40 2.10 1.80 1.50 1.25 1.11 1.08 1.11 1.12 1.05 0.88 0.65 0.43 0.28 0.22 0.21 0.23 0.23 0.22 0.20 0.21 0.24 0.31 0.41 0.50 0.58 0.60 0.56 0.45 0.32 0.21 0.17 0.22 0.33 0.41 0.41 0.29 0.11 0.00 0.00 0.00 0.05 0.17 0.19 0.11 0.00 0.00 0.00 0.00 0.10 0.29 0.42 0.49 0.56 0.70 0.96 1.34 1.80 2.25 2.65 2.99 3.30 3.63 3.98 4.29 4.49 4.49 4.28 3.92 3.48 3.06 2.71 2.40 2.10 1.80 1.50 1.25 1.11 1.08 1.11 1.12 1.05 0.88 0.65 0.43 0.28 0.22 0.21 0.23 0.23 0.22 0.20 0.21 0.24 0.31 0.41 0.50 0.58 0.60 0.56 0.45 0.32 0.21 0.17 0.22 0.33 0.41 0.41 0.29 0.11 0.00 0.00 0.00 0.05 0.17 37.5 + 40.0 0.14 0.18 0.12 0.02 0.00 0.00 0.10 0.28 0.46 0.57 0.62 0.66 0.76 0.97 1.27 1.60 1.92 2.17 2.38 2.57 2.81 3.08 3.32 3.44 3.39 3.16 2.80 2.42 2.11 1.89 1.72 1.55 1.35 1.14 0.96 0.88 0.90 0.98 1.02 0.97 0.82 0.60 0.40 0.27 0.23 0.25 0.27 0.26 0.22 0.17 0.15 0.18 0.26 0.38 0.49 0.56 0.55 0.46 0.32 0.17 0.08 0.08 0.17 0.29 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.02 0.14 0.18 0.12 0.02 0.00 0.00 0.10 0.28 0.46 0.57 0.62 0.66 0.76 0.97 1.27 1.60 1.92 2.17 2.38 2.57 2.81 3.08 3.32 3.44 3.39 3.16 2.80 2.42 2.11 1.89 1.72 1.55 1.35 1.14 0.96 0.88 0.90 0.98 1.02 0.97 0.82 0.60 0.40 0.27 0.23 0.25 0.27 0.26 0.22 0.17 0.15 0.18 0.26 0.38 0.49 0.56 0.55 0.46 0.32 0.17 0.08 0.08 0.17 0.29 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.02 0.14 40.0 + 42.5 0.13 0.18 0.14 0.08 0.06 0.12 0.27 0.44 0.58 0.65 0.66 0.66 0.72 0.85 1.06 1.27 1.43 1.52 1.57 1.63 1.75 1.93 2.09 2.17 2.08 1.85 1.55 1.27 1.09 1.03 1.03 1.01 0.93 0.80 0.68 0.63 0.68 0.78 0.86 0.85 0.75 0.59 0.43 0.35 0.34 0.38 0.41 0.40 0.34 0.25 0.18 0.18 0.26 0.38 0.51 0.56 0.52 0.38 0.19 0.02 0.00 0.00 0.10 0.24 0.31 0.27 0.12 0.00 0.00 0.00 0.00 0.01 0.13 0.18 0.14 0.08 0.06 0.12 0.27 0.44 0.58 0.65 0.66 0.66 0.72 0.85 1.06 1.27 1.43 1.52 1.57 1.63 1.75 1.93 2.09 2.17 2.08 1.85 1.55 1.27 1.09 1.03 1.03 1.01 0.93 0.80 0.68 0.63 0.68 0.78 0.86 0.85 0.75 0.59 0.43 0.35 0.34 0.38 0.41 0.40 0.34 0.25 0.18 0.18 0.26 0.38 0.51 0.56 0.52 0.38 0.19 0.02 0.00 0.00 0.10 0.24 0.31 0.27 0.12 0.00 0.00 0.00 0.00 0.01 0.13 42.5 + 45.0 0.18 0.23 0.21 0.17 0.19 0.27 0.41 0.56 0.64 0.65 0.60 0.56 0.57 0.64 0.76 0.86 0.89 0.85 0.77 0.73 0.77 0.89 1.02 1.07 0.99 0.79 0.54 0.36 0.31 0.40 0.54 0.65 0.67 0.60 0.50 0.45 0.48 0.57 0.68 0.73 0.70 0.60 0.50 0.44 0.45 0.51 0.56 0.56 0.49 0.38 0.28 0.24 0.29 0.41 0.54 0.59 0.53 0.35 0.11 0.00 0.00 0.00 0.04 0.20 0.28 0.23 0.08 0.00 0.00 0.00 0.00 0.07 0.18 0.23 0.21 0.17 0.19 0.27 0.41 0.56 0.64 0.65 0.60 0.56 0.57 0.64 0.76 0.86 0.89 0.85 0.77 0.73 0.77 0.89 1.02 1.07 0.99 0.79 0.54 0.36 0.31 0.40 0.54 0.65 0.67 0.60 0.50 0.45 0.48 0.57 0.68 0.73 0.70 0.60 0.50 0.44 0.45 0.51 0.56 0.56 0.49 0.38 0.28 0.24 0.29 0.41 0.54 0.59 0.53 0.35 0.11 0.00 0.00 0.00 0.04 0.20 0.28 0.23 0.08 0.00 0.00 0.00 0.00 0.07 0.18 45.0 + 47.5 0.32 0.34 0.31 0.28 0.30 0.39 0.50 0.60 0.63 0.58 0.48 0.40 0.38 0.41 0.47 0.50 0.44 0.32 0.18 0.10 0.12 0.22 0.35 0.41 0.35 0.18 0.00 0.00 0.00 0.08 0.32 0.52 0.60 0.56 0.45 0.36 0.34 0.42 0.54 0.63 0.67 0.63 0.55 0.50 0.50 0.56 0.62 0.65 0.60 0.49 0.37 0.30 0.33 0.43 0.55 0.61 0.54 0.35 0.09 0.00 0.00 0.00 0.02 0.19 0.27 0.23 0.10 0.00 0.00 0.00 0.07 0.22 0.32 0.34 0.31 0.28 0.30 0.39 0.50 0.60 0.63 0.58 0.48 0.40 0.38 0.41 0.47 0.50 0.44 0.32 0.18 0.10 0.12 0.22 0.35 0.41 0.35 0.18 0.00 0.00 0.00 0.08 0.32 0.52 0.60 0.56 0.45 0.36 0.34 0.42 0.54 0.63 0.67 0.63 0.55 0.50 0.50 0.56 0.62 0.65 0.60 0.49 0.37 0.30 0.33 0.43 0.55 0.61 0.54 0.35 0.09 0.00 0.00 0.00 0.02 0.19 0.27 0.23 0.10 0.00 0.00 0.00 0.07 0.22 0.32 47.5 + 50.0 0.50 0.48 0.42 0.37 0.36 0.42 0.51 0.56 0.55 0.47 0.36 0.27 0.24 0.26 0.28 0.26 0.17 0.02 0.00 0.00 0.00 0.00 0.13 0.21 0.17 0.03 0.00 0.00 0.00 0.04 0.30 0.53 0.63 0.60 0.47 0.34 0.28 0.32 0.45 0.59 0.67 0.67 0.60 0.53 0.50 0.53 0.61 0.67 0.66 0.57 0.44 0.34 0.32 0.40 0.52 0.60 0.56 0.38 0.14 0.00 0.00 0.00 0.10 0.26 0.34 0.31 0.20 0.09 0.07 0.15 0.29 0.43 0.50 0.48 0.42 0.37 0.36 0.42 0.51 0.56 0.55 0.47 0.36 0.27 0.24 0.26 0.28 0.26 0.17 0.02 0.00 0.00 0.00 0.00 0.13 0.21 0.17 0.03 0.00 0.00 0.00 0.04 0.30 0.53 0.63 0.60 0.47 0.34 0.28 0.32 0.45 0.59 0.67 0.67 0.60 0.53 0.50 0.53 0.61 0.67 0.66 0.57 0.44 0.34 0.32 0.40 0.52 0.60 0.56 0.38 0.14 0.00 0.00 0.00 0.10 0.26 0.34 0.31 0.20 0.09 0.07 0.15 0.29 0.43 0.50 50.0 + 52.5 0.66 0.59 0.48 0.38 0.34 0.36 0.42 0.45 0.43 0.36 0.28 0.22 0.21 0.23 0.24 0.20 0.10 0.00 0.00 0.00 0.00 0.07 0.23 0.31 0.27 0.14 0.00 0.00 0.00 0.11 0.34 0.55 0.65 0.61 0.47 0.32 0.24 0.27 0.41 0.58 0.70 0.72 0.65 0.55 0.48 0.49 0.57 0.66 0.69 0.62 0.49 0.35 0.30 0.36 0.48 0.58 0.59 0.48 0.30 0.14 0.09 0.17 0.33 0.48 0.55 0.51 0.41 0.33 0.32 0.41 0.54 0.64 0.66 0.59 0.48 0.38 0.34 0.36 0.42 0.45 0.43 0.36 0.28 0.22 0.21 0.23 0.24 0.20 0.10 0.00 0.00 0.00 0.00 0.07 0.23 0.31 0.27 0.14 0.00 0.00 0.00 0.11 0.34 0.55 0.65 0.61 0.47 0.32 0.24 0.27 0.41 0.58 0.70 0.72 0.65 0.55 0.48 0.49 0.57 0.66 0.69 0.62 0.49 0.35 0.30 0.36 0.48 0.58 0.59 0.48 0.30 0.14 0.09 0.17 0.33 0.48 0.55 0.51 0.41 0.33 0.32 0.41 0.54 0.64 0.66 52.5 + 55.0 0.75 0.62 0.44 0.30 0.22 0.22 0.25 0.29 0.29 0.27 0.24 0.24 0.27 0.31 0.32 0.27 0.17 0.06 0.00 0.02 0.13 0.29 0.43 0.48 0.43 0.29 0.14 0.05 0.06 0.18 0.35 0.50 0.57 0.53 0.41 0.27 0.20 0.24 0.39 0.58 0.73 0.77 0.70 0.58 0.49 0.49 0.58 0.69 0.74 0.70 0.57 0.42 0.34 0.37 0.50 0.64 0.72 0.69 0.60 0.51 0.49 0.58 0.73 0.86 0.90 0.85 0.74 0.65 0.63 0.68 0.76 0.80 0.75 0.62 0.44 0.30 0.22 0.22 0.25 0.29 0.29 0.27 0.24 0.24 0.27 0.31 0.32 0.27 0.17 0.06 0.00 0.02 0.13 0.29 0.43 0.48 0.43 0.29 0.14 0.05 0.06 0.18 0.35 0.50 0.57 0.53 0.41 0.27 0.20 0.24 0.39 0.58 0.73 0.77 0.70 0.58 0.49 0.49 0.58 0.69 0.74 0.70 0.57 0.42 0.34 0.37 0.50 0.64 0.72 0.69 0.60 0.51 0.49 0.58 0.73 0.86 0.90 0.85 0.74 0.65 0.63 0.68 0.76 0.80 0.75 55.0 + 57.5 0.74 0.55 0.33 0.15 0.05 0.03 0.06 0.11 0.15 0.18 0.23 0.30 0.37 0.42 0.43 0.37 0.28 0.20 0.17 0.23 0.35 0.48 0.56 0.57 0.49 0.36 0.23 0.15 0.14 0.20 0.29 0.38 0.41 0.37 0.28 0.18 0.14 0.20 0.36 0.56 0.72 0.78 0.74 0.64 0.56 0.57 0.66 0.79 0.88 0.86 0.75 0.61 0.53 0.56 0.70 0.87 1.02 1.07 1.06 1.04 1.05 1.14 1.26 1.35 1.35 1.26 1.12 0.99 0.91 0.90 0.90 0.86 0.74 0.55 0.33 0.15 0.05 0.03 0.06 0.11 0.15 0.18 0.23 0.30 0.37 0.42 0.43 0.37 0.28 0.20 0.17 0.23 0.35 0.48 0.56 0.57 0.49 0.36 0.23 0.15 0.14 0.20 0.29 0.38 0.41 0.37 0.28 0.18 0.14 0.20 0.36 0.56 0.72 0.78 0.74 0.64 0.56 0.57 0.66 0.79 0.88 0.86 0.75 0.61 0.53 0.56 0.70 0.87 1.02 1.07 1.06 1.04 1.05 1.14 1.26 1.35 1.35 1.26 1.12 0.99 0.91 0.90 0.90 0.86 0.74 57.5 + 60.0 0.65 0.42 0.19 0.01 0.00 0.00 0.00 0.00 0.02 0.09 0.19 0.30 0.40 0.46 0.46 0.39 0.31 0.26 0.27 0.35 0.45 0.53 0.56 0.51 0.41 0.31 0.23 0.18 0.17 0.19 0.21 0.22 0.21 0.17 0.12 0.07 0.06 0.14 0.29 0.47 0.63 0.73 0.73 0.69 0.67 0.72 0.84 1.00 1.12 1.15 1.10 1.00 0.95 1.00 1.15 1.35 1.53 1.63 1.66 1.66 1.68 1.73 1.80 1.83 1.78 1.65 1.46 1.27 1.12 1.02 0.94 0.82 0.65 0.42 0.19 0.01 0.00 0.00 0.00 0.00 0.02 0.09 0.19 0.30 0.40 0.46 0.46 0.39 0.31 0.26 0.27 0.35 0.45 0.53 0.56 0.51 0.41 0.31 0.23 0.18 0.17 0.19 0.21 0.22 0.21 0.17 0.12 0.07 0.06 0.14 0.29 0.47 0.63 0.73 0.73 0.69 0.67 0.72 0.84 1.00 1.12 1.15 1.10 1.00 0.95 1.00 1.15 1.35 1.53 1.63 1.66 1.66 1.68 1.73 1.80 1.83 1.78 1.65 1.46 1.27 1.12 1.02 0.94 0.82 0.65 60.0 + 62.5 0.54 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.32 0.37 0.34 0.27 0.20 0.18 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.17 0.15 0.17 0.18 0.17 0.14 0.09 0.04 0.00 0.00 0.00 0.00 0.04 0.16 0.32 0.48 0.61 0.69 0.74 0.80 0.92 1.10 1.30 1.48 1.58 1.61 1.60 1.62 1.70 1.86 2.04 2.20 2.29 2.30 2.27 2.24 2.23 2.22 2.19 2.08 1.90 1.67 1.43 1.22 1.05 0.90 0.73 0.54 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.22 0.32 0.37 0.34 0.27 0.20 0.18 0.23 0.32 0.41 0.45 0.41 0.32 0.23 0.17 0.15 0.17 0.18 0.17 0.14 0.09 0.04 0.00 0.00 0.00 0.00 0.04 0.16 0.32 0.48 0.61 0.69 0.74 0.80 0.92 1.10 1.30 1.48 1.58 1.61 1.60 1.62 1.70 1.86 2.04 2.20 2.29 2.30 2.27 2.24 2.23 2.22 2.19 2.08 1.90 1.67 1.43 1.22 1.05 0.90 0.73 0.54 62.5 + 65.0 0.47 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.17 0.12 0.04 0.00 0.00 0.08 0.19 0.26 0.26 0.18 0.07 0.00 0.00 0.04 0.11 0.16 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.31 0.49 0.66 0.82 0.99 1.19 1.43 1.70 1.94 2.14 2.27 2.36 2.44 2.55 2.69 2.82 2.90 2.91 2.84 2.72 2.60 2.50 2.42 2.32 2.18 1.97 1.72 1.45 1.21 1.00 0.82 0.65 0.47 0.28 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.17 0.12 0.04 0.00 0.00 0.08 0.19 0.26 0.26 0.18 0.07 0.00 0.00 0.04 0.11 0.16 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.31 0.49 0.66 0.82 0.99 1.19 1.43 1.70 1.94 2.14 2.27 2.36 2.44 2.55 2.69 2.82 2.90 2.91 2.84 2.72 2.60 2.50 2.42 2.32 2.18 1.97 1.72 1.45 1.21 1.00 0.82 0.65 0.47 65.0 + 67.5 0.48 0.34 0.21 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.45 0.72 1.00 1.27 1.56 1.86 2.18 2.49 2.76 2.98 3.15 3.28 3.38 3.45 3.48 3.44 3.33 3.14 2.91 2.68 2.49 2.34 2.21 2.05 1.86 1.62 1.36 1.13 0.93 0.77 0.62 0.48 0.34 0.21 0.10 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.10 0.07 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.45 0.72 1.00 1.27 1.56 1.86 2.18 2.49 2.76 2.98 3.15 3.28 3.38 3.45 3.48 3.44 3.33 3.14 2.91 2.68 2.49 2.34 2.21 2.05 1.86 1.62 1.36 1.13 0.93 0.77 0.62 0.48 67.5 + 70.0 0.58 0.48 0.38 0.30 0.23 0.17 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.58 0.96 1.33 1.68 2.02 2.36 2.71 3.05 3.37 3.64 3.83 3.94 3.98 3.95 3.85 3.68 3.43 3.13 2.80 2.49 2.23 2.04 1.90 1.77 1.62 1.43 1.23 1.04 0.89 0.77 0.67 0.58 0.48 0.38 0.30 0.23 0.17 0.11 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.58 0.96 1.33 1.68 2.02 2.36 2.71 3.05 3.37 3.64 3.83 3.94 3.98 3.95 3.85 3.68 3.43 3.13 2.80 2.49 2.23 2.04 1.90 1.77 1.62 1.43 1.23 1.04 0.89 0.77 0.67 0.58 70.0 + 72.5 0.73 0.67 0.59 0.52 0.45 0.38 0.30 0.22 0.16 0.13 0.13 0.13 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.46 0.89 1.34 1.78 2.17 2.52 2.85 3.18 3.51 3.83 4.09 4.25 4.29 4.22 4.06 3.83 3.54 3.20 2.83 2.46 2.11 1.83 1.63 1.51 1.42 1.34 1.23 1.12 1.00 0.91 0.85 0.79 0.73 0.67 0.59 0.52 0.45 0.38 0.30 0.22 0.16 0.13 0.13 0.13 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.46 0.89 1.34 1.78 2.17 2.52 2.85 3.18 3.51 3.83 4.09 4.25 4.29 4.22 4.06 3.83 3.54 3.20 2.83 2.46 2.11 1.83 1.63 1.51 1.42 1.34 1.23 1.12 1.00 0.91 0.85 0.79 0.73 72.5 + 75.0 0.90 0.85 0.79 0.72 0.65 0.57 0.49 0.41 0.37 0.37 0.40 0.44 0.42 0.33 0.19 0.07 0.04 0.12 0.28 0.43 0.48 0.39 0.21 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.16 0.43 0.82 1.30 1.80 2.25 2.63 2.93 3.19 3.45 3.72 3.99 4.19 4.29 4.23 4.04 3.75 3.41 3.05 2.70 2.35 2.00 1.67 1.40 1.21 1.11 1.08 1.07 1.06 1.04 1.01 0.98 0.96 0.94 0.90 0.85 0.79 0.72 0.65 0.57 0.49 0.41 0.37 0.37 0.40 0.44 0.42 0.33 0.19 0.07 0.04 0.12 0.28 0.43 0.48 0.39 0.21 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.16 0.43 0.82 1.30 1.80 2.25 2.63 2.93 3.19 3.45 3.72 3.99 4.19 4.29 4.23 4.04 3.75 3.41 3.05 2.70 2.35 2.00 1.67 1.40 1.21 1.11 1.08 1.07 1.06 1.04 1.01 0.98 0.96 0.94 0.90 75.0 + 77.5 1.04 1.00 0.94 0.88 0.81 0.72 0.63 0.56 0.54 0.59 0.69 0.79 0.81 0.73 0.58 0.44 0.41 0.52 0.71 0.88 0.94 0.83 0.61 0.38 0.21 0.15 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.41 0.57 0.83 1.21 1.69 2.17 2.59 2.90 3.10 3.24 3.39 3.57 3.76 3.91 3.93 3.78 3.48 3.10 2.70 2.34 2.05 1.79 1.54 1.29 1.05 0.87 0.78 0.77 0.83 0.91 0.99 1.04 1.07 1.08 1.07 1.04 1.00 0.94 0.88 0.81 0.72 0.63 0.56 0.54 0.59 0.69 0.79 0.81 0.73 0.58 0.44 0.41 0.52 0.71 0.88 0.94 0.83 0.61 0.38 0.21 0.15 0.14 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.29 0.41 0.57 0.83 1.21 1.69 2.17 2.59 2.90 3.10 3.24 3.39 3.57 3.76 3.91 3.93 3.78 3.48 3.10 2.70 2.34 2.05 1.79 1.54 1.29 1.05 0.87 0.78 0.77 0.83 0.91 0.99 1.04 1.07 1.08 1.07 1.04 77.5 + 80.0 1.12 1.09 1.05 1.00 0.92 0.82 0.70 0.62 0.62 0.72 0.90 1.06 1.13 1.07 0.91 0.76 0.72 0.85 1.08 1.30 1.37 1.25 1.00 0.73 0.53 0.45 0.43 0.37 0.23 0.02 0.00 0.00 0.00 0.08 0.39 0.66 0.84 0.96 1.07 1.25 1.55 1.93 2.34 2.67 2.88 2.95 2.96 2.97 3.05 3.18 3.28 3.26 3.07 2.71 2.27 1.87 1.57 1.40 1.29 1.17 1.01 0.81 0.63 0.52 0.53 0.63 0.78 0.94 1.07 1.14 1.16 1.15 1.12 1.09 1.05 1.00 0.92 0.82 0.70 0.62 0.62 0.72 0.90 1.06 1.13 1.07 0.91 0.76 0.72 0.85 1.08 1.30 1.37 1.25 1.00 0.73 0.53 0.45 0.43 0.37 0.23 0.02 0.00 0.00 0.00 0.08 0.39 0.66 0.84 0.96 1.07 1.25 1.55 1.93 2.34 2.67 2.88 2.95 2.96 2.97 3.05 3.18 3.28 3.26 3.07 2.71 2.27 1.87 1.57 1.40 1.29 1.17 1.01 0.81 0.63 0.52 0.53 0.63 0.78 0.94 1.07 1.14 1.16 1.15 1.12 80.0 + 82.5 1.15 1.13 1.11 1.07 0.99 0.85 0.69 0.58 0.58 0.72 0.96 1.19 1.31 1.26 1.08 0.90 0.85 0.99 1.26 1.53 1.63 1.52 1.25 0.94 0.73 0.66 0.66 0.64 0.53 0.33 0.14 0.08 0.22 0.53 0.93 1.27 1.48 1.56 1.56 1.60 1.74 1.98 2.27 2.50 2.59 2.54 2.41 2.30 2.30 2.38 2.49 2.48 2.30 1.93 1.49 1.11 0.89 0.85 0.90 0.94 0.87 0.70 0.49 0.34 0.33 0.45 0.66 0.89 1.07 1.17 1.19 1.17 1.15 1.13 1.11 1.07 0.99 0.85 0.69 0.58 0.58 0.72 0.96 1.19 1.31 1.26 1.08 0.90 0.85 0.99 1.26 1.53 1.63 1.52 1.25 0.94 0.73 0.66 0.66 0.64 0.53 0.33 0.14 0.08 0.22 0.53 0.93 1.27 1.48 1.56 1.56 1.60 1.74 1.98 2.27 2.50 2.59 2.54 2.41 2.30 2.30 2.38 2.49 2.48 2.30 1.93 1.49 1.11 0.89 0.85 0.90 0.94 0.87 0.70 0.49 0.34 0.33 0.45 0.66 0.89 1.07 1.17 1.19 1.17 1.15 82.5 + 85.0 1.13 1.12 1.13 1.11 1.02 0.85 0.63 0.47 0.45 0.60 0.89 1.17 1.32 1.27 1.06 0.84 0.76 0.90 1.20 1.51 1.65 1.56 1.28 0.97 0.77 0.73 0.79 0.85 0.80 0.66 0.51 0.47 0.65 1.02 1.48 1.87 2.09 2.09 1.96 1.82 1.77 1.85 2.01 2.14 2.14 2.00 1.78 1.59 1.53 1.62 1.76 1.81 1.67 1.34 0.92 0.57 0.43 0.50 0.69 0.84 0.84 0.68 0.44 0.24 0.19 0.31 0.56 0.84 1.05 1.17 1.19 1.16 1.13 1.12 1.13 1.11 1.02 0.85 0.63 0.47 0.45 0.60 0.89 1.17 1.32 1.27 1.06 0.84 0.76 0.90 1.20 1.51 1.65 1.56 1.28 0.97 0.77 0.73 0.79 0.85 0.80 0.66 0.51 0.47 0.65 1.02 1.48 1.87 2.09 2.09 1.96 1.82 1.77 1.85 2.01 2.14 2.14 2.00 1.78 1.59 1.53 1.62 1.76 1.81 1.67 1.34 0.92 0.57 0.43 0.50 0.69 0.84 0.84 0.68 0.44 0.24 0.19 0.31 0.56 0.84 1.05 1.17 1.19 1.16 1.13 85.0 + 87.5 1.10 1.11 1.14 1.13 1.02 0.81 0.55 0.34 0.29 0.44 0.74 1.05 1.21 1.15 0.91 0.65 0.53 0.66 0.97 1.31 1.49 1.43 1.18 0.89 0.71 0.71 0.85 1.00 1.05 0.99 0.88 0.87 1.06 1.45 1.92 2.33 2.52 2.45 2.18 1.87 1.65 1.58 1.64 1.72 1.69 1.52 1.27 1.05 0.98 1.08 1.28 1.41 1.35 1.06 0.67 0.35 0.24 0.37 0.64 0.87 0.92 0.75 0.47 0.22 0.13 0.24 0.50 0.80 1.03 1.15 1.16 1.13 1.10 1.11 1.14 1.13 1.02 0.81 0.55 0.34 0.29 0.44 0.74 1.05 1.21 1.15 0.91 0.65 0.53 0.66 0.97 1.31 1.49 1.43 1.18 0.89 0.71 0.71 0.85 1.00 1.05 0.99 0.88 0.87 1.06 1.45 1.92 2.33 2.52 2.45 2.18 1.87 1.65 1.58 1.64 1.72 1.69 1.52 1.27 1.05 0.98 1.08 1.28 1.41 1.35 1.06 0.67 0.35 0.24 0.37 0.64 0.87 0.92 0.75 0.47 0.22 0.13 0.24 0.50 0.80 1.03 1.15 1.16 1.13 1.10 87.5 + 90.0 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 90.0 + + 65.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.30 ) PHI2 = 65. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.0 + 2.5 0.39 0.49 0.65 0.85 1.06 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.72 0.54 0.43 0.38 0.36 0.33 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.71 0.91 1.13 1.35 1.59 1.83 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.36 0.39 0.49 0.65 0.85 1.06 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.72 0.54 0.43 0.38 0.36 0.33 0.23 0.04 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.40 0.41 0.45 0.55 0.71 0.91 1.13 1.35 1.59 1.83 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.27 1.05 0.84 0.65 0.50 0.41 0.39 0.40 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.36 0.39 2.5 + 5.0 0.28 0.36 0.51 0.70 0.91 1.16 1.44 1.75 2.06 2.31 2.44 2.43 2.28 2.03 1.76 1.48 1.23 0.99 0.78 0.59 0.46 0.40 0.38 0.37 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.51 0.59 0.72 0.92 1.15 1.40 1.66 1.90 2.11 2.23 2.23 2.12 1.91 1.65 1.38 1.12 0.88 0.67 0.51 0.41 0.38 0.42 0.48 0.50 0.42 0.25 0.05 0.00 0.00 0.00 0.07 0.25 0.35 0.37 0.33 0.28 0.28 0.36 0.51 0.70 0.91 1.16 1.44 1.75 2.06 2.31 2.44 2.43 2.28 2.03 1.76 1.48 1.23 0.99 0.78 0.59 0.46 0.40 0.38 0.37 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.46 0.50 0.50 0.51 0.59 0.72 0.92 1.15 1.40 1.66 1.90 2.11 2.23 2.23 2.12 1.91 1.65 1.38 1.12 0.88 0.67 0.51 0.41 0.38 0.42 0.48 0.50 0.42 0.25 0.05 0.00 0.00 0.00 0.07 0.25 0.35 0.37 0.33 0.28 0.28 5.0 + 7.5 0.18 0.23 0.35 0.52 0.73 0.98 1.30 1.67 2.05 2.38 2.59 2.63 2.50 2.26 1.96 1.67 1.40 1.17 0.95 0.77 0.63 0.56 0.54 0.54 0.51 0.42 0.26 0.10 0.00 0.00 0.12 0.32 0.50 0.62 0.66 0.64 0.62 0.64 0.74 0.91 1.15 1.43 1.71 1.96 2.14 2.21 2.17 2.01 1.78 1.50 1.22 0.94 0.69 0.49 0.36 0.32 0.37 0.48 0.59 0.63 0.57 0.43 0.26 0.14 0.12 0.20 0.33 0.43 0.46 0.40 0.30 0.21 0.18 0.23 0.35 0.52 0.73 0.98 1.30 1.67 2.05 2.38 2.59 2.63 2.50 2.26 1.96 1.67 1.40 1.17 0.95 0.77 0.63 0.56 0.54 0.54 0.51 0.42 0.26 0.10 0.00 0.00 0.12 0.32 0.50 0.62 0.66 0.64 0.62 0.64 0.74 0.91 1.15 1.43 1.71 1.96 2.14 2.21 2.17 2.01 1.78 1.50 1.22 0.94 0.69 0.49 0.36 0.32 0.37 0.48 0.59 0.63 0.57 0.43 0.26 0.14 0.12 0.20 0.33 0.43 0.46 0.40 0.30 0.21 0.18 7.5 + 10.0 0.13 0.15 0.24 0.37 0.54 0.79 1.11 1.52 1.96 2.36 2.64 2.75 2.67 2.45 2.18 1.90 1.66 1.46 1.28 1.11 0.97 0.89 0.87 0.89 0.90 0.85 0.72 0.55 0.41 0.36 0.42 0.57 0.73 0.85 0.88 0.83 0.75 0.71 0.74 0.89 1.12 1.41 1.70 1.94 2.08 2.11 2.02 1.84 1.60 1.34 1.06 0.80 0.55 0.37 0.27 0.29 0.40 0.56 0.69 0.73 0.66 0.52 0.38 0.31 0.33 0.43 0.53 0.58 0.54 0.43 0.29 0.17 0.13 0.15 0.24 0.37 0.54 0.79 1.11 1.52 1.96 2.36 2.64 2.75 2.67 2.45 2.18 1.90 1.66 1.46 1.28 1.11 0.97 0.89 0.87 0.89 0.90 0.85 0.72 0.55 0.41 0.36 0.42 0.57 0.73 0.85 0.88 0.83 0.75 0.71 0.74 0.89 1.12 1.41 1.70 1.94 2.08 2.11 2.02 1.84 1.60 1.34 1.06 0.80 0.55 0.37 0.27 0.29 0.40 0.56 0.69 0.73 0.66 0.52 0.38 0.31 0.33 0.43 0.53 0.58 0.54 0.43 0.29 0.17 0.13 10.0 + 12.5 0.13 0.14 0.19 0.27 0.39 0.59 0.89 1.29 1.76 2.20 2.55 2.72 2.71 2.56 2.34 2.13 1.95 1.81 1.68 1.54 1.41 1.32 1.30 1.32 1.36 1.33 1.22 1.04 0.85 0.73 0.73 0.84 0.98 1.09 1.10 1.01 0.88 0.76 0.74 0.85 1.07 1.36 1.65 1.86 1.96 1.94 1.81 1.63 1.41 1.19 0.95 0.71 0.49 0.33 0.27 0.33 0.47 0.64 0.75 0.75 0.64 0.49 0.38 0.35 0.42 0.54 0.63 0.64 0.57 0.43 0.29 0.18 0.13 0.14 0.19 0.27 0.39 0.59 0.89 1.29 1.76 2.20 2.55 2.72 2.71 2.56 2.34 2.13 1.95 1.81 1.68 1.54 1.41 1.32 1.30 1.32 1.36 1.33 1.22 1.04 0.85 0.73 0.73 0.84 0.98 1.09 1.10 1.01 0.88 0.76 0.74 0.85 1.07 1.36 1.65 1.86 1.96 1.94 1.81 1.63 1.41 1.19 0.95 0.71 0.49 0.33 0.27 0.33 0.47 0.64 0.75 0.75 0.64 0.49 0.38 0.35 0.42 0.54 0.63 0.64 0.57 0.43 0.29 0.18 0.13 12.5 + 15.0 0.17 0.16 0.17 0.19 0.25 0.39 0.65 1.02 1.46 1.92 2.29 2.52 2.59 2.53 2.40 2.28 2.19 2.12 2.03 1.92 1.79 1.68 1.65 1.67 1.72 1.71 1.61 1.41 1.18 1.01 0.96 1.04 1.17 1.26 1.26 1.14 0.95 0.79 0.73 0.82 1.03 1.32 1.59 1.77 1.82 1.76 1.61 1.43 1.25 1.08 0.89 0.69 0.50 0.36 0.33 0.41 0.56 0.71 0.76 0.70 0.54 0.37 0.28 0.31 0.42 0.57 0.65 0.64 0.55 0.41 0.28 0.20 0.17 0.16 0.17 0.19 0.25 0.39 0.65 1.02 1.46 1.92 2.29 2.52 2.59 2.53 2.40 2.28 2.19 2.12 2.03 1.92 1.79 1.68 1.65 1.67 1.72 1.71 1.61 1.41 1.18 1.01 0.96 1.04 1.17 1.26 1.26 1.14 0.95 0.79 0.73 0.82 1.03 1.32 1.59 1.77 1.82 1.76 1.61 1.43 1.25 1.08 0.89 0.69 0.50 0.36 0.33 0.41 0.56 0.71 0.76 0.70 0.54 0.37 0.28 0.31 0.42 0.57 0.65 0.64 0.55 0.41 0.28 0.20 0.17 15.0 + 17.5 0.17 0.16 0.13 0.10 0.11 0.19 0.40 0.72 1.13 1.56 1.92 2.19 2.32 2.36 2.34 2.32 2.31 2.29 2.22 2.10 1.96 1.83 1.78 1.81 1.86 1.87 1.77 1.56 1.32 1.13 1.06 1.12 1.23 1.31 1.29 1.15 0.95 0.77 0.71 0.81 1.03 1.32 1.57 1.72 1.74 1.64 1.49 1.32 1.16 1.02 0.87 0.70 0.53 0.42 0.40 0.49 0.63 0.74 0.74 0.61 0.41 0.24 0.19 0.26 0.43 0.59 0.66 0.63 0.50 0.36 0.25 0.19 0.17 0.16 0.13 0.10 0.11 0.19 0.40 0.72 1.13 1.56 1.92 2.19 2.32 2.36 2.34 2.32 2.31 2.29 2.22 2.10 1.96 1.83 1.78 1.81 1.86 1.87 1.77 1.56 1.32 1.13 1.06 1.12 1.23 1.31 1.29 1.15 0.95 0.77 0.71 0.81 1.03 1.32 1.57 1.72 1.74 1.64 1.49 1.32 1.16 1.02 0.87 0.70 0.53 0.42 0.40 0.49 0.63 0.74 0.74 0.61 0.41 0.24 0.19 0.26 0.43 0.59 0.66 0.63 0.50 0.36 0.25 0.19 0.17 17.5 + 20.0 0.12 0.09 0.02 0.00 0.00 0.00 0.17 0.45 0.81 1.18 1.51 1.78 1.96 2.09 2.18 2.26 2.31 2.32 2.24 2.10 1.93 1.80 1.74 1.78 1.84 1.85 1.75 1.55 1.31 1.12 1.05 1.09 1.18 1.24 1.20 1.05 0.86 0.72 0.70 0.83 1.07 1.36 1.60 1.73 1.73 1.62 1.45 1.29 1.15 1.02 0.88 0.71 0.56 0.45 0.45 0.54 0.67 0.74 0.70 0.53 0.32 0.18 0.17 0.30 0.50 0.66 0.71 0.62 0.47 0.31 0.20 0.15 0.12 0.09 0.02 0.00 0.00 0.00 0.17 0.45 0.81 1.18 1.51 1.78 1.96 2.09 2.18 2.26 2.31 2.32 2.24 2.10 1.93 1.80 1.74 1.78 1.84 1.85 1.75 1.55 1.31 1.12 1.05 1.09 1.18 1.24 1.20 1.05 0.86 0.72 0.70 0.83 1.07 1.36 1.60 1.73 1.73 1.62 1.45 1.29 1.15 1.02 0.88 0.71 0.56 0.45 0.45 0.54 0.67 0.74 0.70 0.53 0.32 0.18 0.17 0.30 0.50 0.66 0.71 0.62 0.47 0.31 0.20 0.15 0.12 20.0 + 22.5 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.54 0.84 1.12 1.37 1.59 1.79 1.98 2.15 2.26 2.29 2.21 2.06 1.89 1.77 1.74 1.79 1.86 1.86 1.76 1.55 1.31 1.13 1.05 1.06 1.11 1.12 1.04 0.90 0.74 0.66 0.69 0.86 1.12 1.41 1.63 1.74 1.73 1.62 1.47 1.31 1.17 1.04 0.89 0.72 0.56 0.47 0.48 0.58 0.70 0.75 0.68 0.50 0.31 0.20 0.25 0.43 0.65 0.80 0.79 0.65 0.45 0.26 0.14 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.24 0.54 0.84 1.12 1.37 1.59 1.79 1.98 2.15 2.26 2.29 2.21 2.06 1.89 1.77 1.74 1.79 1.86 1.86 1.76 1.55 1.31 1.13 1.05 1.06 1.11 1.12 1.04 0.90 0.74 0.66 0.69 0.86 1.12 1.41 1.63 1.74 1.73 1.62 1.47 1.31 1.17 1.04 0.89 0.72 0.56 0.47 0.48 0.58 0.70 0.75 0.68 0.50 0.31 0.20 0.25 0.43 0.65 0.80 0.79 0.65 0.45 0.26 0.14 0.09 0.05 22.5 + 25.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.58 0.80 1.01 1.26 1.53 1.82 2.08 2.27 2.34 2.31 2.19 2.07 2.01 2.03 2.11 2.17 2.15 2.00 1.76 1.50 1.30 1.18 1.13 1.10 1.04 0.92 0.77 0.65 0.62 0.70 0.89 1.14 1.39 1.58 1.67 1.66 1.57 1.44 1.30 1.17 1.04 0.88 0.71 0.57 0.49 0.52 0.62 0.74 0.78 0.70 0.53 0.36 0.30 0.39 0.61 0.83 0.94 0.88 0.68 0.44 0.24 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.34 0.58 0.80 1.01 1.26 1.53 1.82 2.08 2.27 2.34 2.31 2.19 2.07 2.01 2.03 2.11 2.17 2.15 2.00 1.76 1.50 1.30 1.18 1.13 1.10 1.04 0.92 0.77 0.65 0.62 0.70 0.89 1.14 1.39 1.58 1.67 1.66 1.57 1.44 1.30 1.17 1.04 0.88 0.71 0.57 0.49 0.52 0.62 0.74 0.78 0.70 0.53 0.36 0.30 0.39 0.61 0.83 0.94 0.88 0.68 0.44 0.24 0.12 0.05 0.00 25.0 + 27.5 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.42 0.58 0.77 1.03 1.37 1.76 2.13 2.42 2.58 2.63 2.62 2.61 2.66 2.76 2.87 2.90 2.81 2.58 2.27 1.95 1.69 1.50 1.36 1.23 1.07 0.89 0.74 0.64 0.65 0.75 0.91 1.09 1.26 1.38 1.44 1.43 1.37 1.28 1.18 1.08 0.96 0.83 0.68 0.57 0.53 0.58 0.69 0.80 0.82 0.74 0.57 0.43 0.41 0.53 0.75 0.95 1.02 0.91 0.68 0.43 0.24 0.14 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.25 0.42 0.58 0.77 1.03 1.37 1.76 2.13 2.42 2.58 2.63 2.62 2.61 2.66 2.76 2.87 2.90 2.81 2.58 2.27 1.95 1.69 1.50 1.36 1.23 1.07 0.89 0.74 0.64 0.65 0.75 0.91 1.09 1.26 1.38 1.44 1.43 1.37 1.28 1.18 1.08 0.96 0.83 0.68 0.57 0.53 0.58 0.69 0.80 0.82 0.74 0.57 0.43 0.41 0.53 0.75 0.95 1.02 0.91 0.68 0.43 0.24 0.14 0.09 0.02 27.5 + 30.0 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.25 0.39 0.51 0.68 0.95 1.35 1.83 2.30 2.70 2.98 3.15 3.28 3.43 3.60 3.79 3.91 3.88 3.69 3.35 2.94 2.54 2.20 1.93 1.69 1.45 1.20 0.97 0.81 0.74 0.75 0.82 0.91 0.99 1.04 1.07 1.07 1.06 1.03 0.99 0.94 0.88 0.80 0.71 0.62 0.56 0.56 0.64 0.75 0.85 0.85 0.76 0.60 0.48 0.48 0.61 0.81 0.97 0.99 0.85 0.61 0.39 0.24 0.19 0.18 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.25 0.39 0.51 0.68 0.95 1.35 1.83 2.30 2.70 2.98 3.15 3.28 3.43 3.60 3.79 3.91 3.88 3.69 3.35 2.94 2.54 2.20 1.93 1.69 1.45 1.20 0.97 0.81 0.74 0.75 0.82 0.91 0.99 1.04 1.07 1.07 1.06 1.03 0.99 0.94 0.88 0.80 0.71 0.62 0.56 0.56 0.64 0.75 0.85 0.85 0.76 0.60 0.48 0.48 0.61 0.81 0.97 0.99 0.85 0.61 0.39 0.24 0.19 0.18 0.13 30.0 + 32.5 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.47 0.56 0.72 1.01 1.44 1.98 2.52 3.00 3.37 3.66 3.93 4.22 4.51 4.75 4.86 4.76 4.45 4.00 3.49 3.03 2.63 2.30 1.98 1.66 1.35 1.10 0.95 0.89 0.91 0.93 0.92 0.87 0.79 0.72 0.67 0.65 0.64 0.63 0.62 0.60 0.57 0.54 0.52 0.52 0.57 0.67 0.78 0.85 0.83 0.72 0.57 0.47 0.48 0.60 0.78 0.89 0.87 0.71 0.49 0.31 0.23 0.25 0.29 0.26 0.12 0.00 0.00 0.00 0.00 0.00 0.17 0.35 0.47 0.56 0.72 1.01 1.44 1.98 2.52 3.00 3.37 3.66 3.93 4.22 4.51 4.75 4.86 4.76 4.45 4.00 3.49 3.03 2.63 2.30 1.98 1.66 1.35 1.10 0.95 0.89 0.91 0.93 0.92 0.87 0.79 0.72 0.67 0.65 0.64 0.63 0.62 0.60 0.57 0.54 0.52 0.52 0.57 0.67 0.78 0.85 0.83 0.72 0.57 0.47 0.48 0.60 0.78 0.89 0.87 0.71 0.49 0.31 0.23 0.25 0.29 0.26 32.5 + 35.0 0.36 0.23 0.03 0.00 0.00 0.00 0.12 0.35 0.53 0.64 0.72 0.86 1.14 1.57 2.10 2.65 3.15 3.56 3.91 4.26 4.63 4.98 5.23 5.30 5.12 4.72 4.19 3.64 3.16 2.76 2.41 2.07 1.73 1.42 1.18 1.06 1.04 1.05 1.03 0.94 0.78 0.60 0.45 0.36 0.33 0.33 0.34 0.34 0.34 0.34 0.35 0.39 0.45 0.55 0.66 0.76 0.80 0.75 0.62 0.48 0.39 0.42 0.54 0.69 0.76 0.70 0.53 0.32 0.19 0.19 0.27 0.36 0.36 0.23 0.03 0.00 0.00 0.00 0.12 0.35 0.53 0.64 0.72 0.86 1.14 1.57 2.10 2.65 3.15 3.56 3.91 4.26 4.63 4.98 5.23 5.30 5.12 4.72 4.19 3.64 3.16 2.76 2.41 2.07 1.73 1.42 1.18 1.06 1.04 1.05 1.03 0.94 0.78 0.60 0.45 0.36 0.33 0.33 0.34 0.34 0.34 0.34 0.35 0.39 0.45 0.55 0.66 0.76 0.80 0.75 0.62 0.48 0.39 0.42 0.54 0.69 0.76 0.70 0.53 0.32 0.19 0.19 0.27 0.36 0.36 35.0 + 37.5 0.38 0.28 0.11 0.00 0.00 0.09 0.32 0.57 0.75 0.84 0.90 1.01 1.25 1.64 2.11 2.60 3.02 3.38 3.71 4.05 4.42 4.77 4.99 5.00 4.76 4.31 3.77 3.25 2.83 2.50 2.21 1.92 1.61 1.34 1.15 1.08 1.10 1.13 1.10 0.96 0.74 0.51 0.33 0.23 0.20 0.20 0.21 0.20 0.18 0.18 0.20 0.27 0.37 0.50 0.62 0.69 0.69 0.61 0.46 0.33 0.28 0.34 0.47 0.60 0.63 0.54 0.36 0.17 0.08 0.11 0.24 0.36 0.38 0.28 0.11 0.00 0.00 0.09 0.32 0.57 0.75 0.84 0.90 1.01 1.25 1.64 2.11 2.60 3.02 3.38 3.71 4.05 4.42 4.77 4.99 5.00 4.76 4.31 3.77 3.25 2.83 2.50 2.21 1.92 1.61 1.34 1.15 1.08 1.10 1.13 1.10 0.96 0.74 0.51 0.33 0.23 0.20 0.20 0.21 0.20 0.18 0.18 0.20 0.27 0.37 0.50 0.62 0.69 0.69 0.61 0.46 0.33 0.28 0.34 0.47 0.60 0.63 0.54 0.36 0.17 0.08 0.11 0.24 0.36 0.38 37.5 + 40.0 0.36 0.30 0.17 0.09 0.12 0.29 0.53 0.77 0.93 0.99 1.01 1.08 1.26 1.56 1.93 2.29 2.59 2.83 3.05 3.32 3.63 3.92 4.08 4.04 3.76 3.32 2.84 2.42 2.12 1.92 1.75 1.56 1.33 1.12 1.00 0.98 1.04 1.10 1.08 0.95 0.75 0.52 0.35 0.27 0.25 0.26 0.25 0.22 0.17 0.13 0.14 0.21 0.32 0.46 0.58 0.63 0.58 0.45 0.29 0.17 0.16 0.25 0.40 0.53 0.54 0.43 0.24 0.06 0.00 0.04 0.19 0.32 0.36 0.30 0.17 0.09 0.12 0.29 0.53 0.77 0.93 0.99 1.01 1.08 1.26 1.56 1.93 2.29 2.59 2.83 3.05 3.32 3.63 3.92 4.08 4.04 3.76 3.32 2.84 2.42 2.12 1.92 1.75 1.56 1.33 1.12 1.00 0.98 1.04 1.10 1.08 0.95 0.75 0.52 0.35 0.27 0.25 0.26 0.25 0.22 0.17 0.13 0.14 0.21 0.32 0.46 0.58 0.63 0.58 0.45 0.29 0.17 0.16 0.25 0.40 0.53 0.54 0.43 0.24 0.06 0.00 0.04 0.19 0.32 0.36 40.0 + 42.5 0.36 0.31 0.23 0.20 0.28 0.47 0.71 0.91 1.01 1.02 0.99 1.01 1.12 1.32 1.56 1.77 1.92 2.01 2.11 2.26 2.48 2.70 2.82 2.74 2.48 2.09 1.70 1.42 1.28 1.24 1.22 1.14 1.01 0.86 0.78 0.78 0.87 0.96 0.98 0.91 0.75 0.58 0.45 0.40 0.40 0.42 0.41 0.36 0.28 0.20 0.18 0.22 0.33 0.47 0.57 0.59 0.50 0.33 0.15 0.04 0.05 0.18 0.36 0.50 0.51 0.38 0.19 0.02 0.00 0.03 0.18 0.31 0.36 0.31 0.23 0.20 0.28 0.47 0.71 0.91 1.01 1.02 0.99 1.01 1.12 1.32 1.56 1.77 1.92 2.01 2.11 2.26 2.48 2.70 2.82 2.74 2.48 2.09 1.70 1.42 1.28 1.24 1.22 1.14 1.01 0.86 0.78 0.78 0.87 0.96 0.98 0.91 0.75 0.58 0.45 0.40 0.40 0.42 0.41 0.36 0.28 0.20 0.18 0.22 0.33 0.47 0.57 0.59 0.50 0.33 0.15 0.04 0.05 0.18 0.36 0.50 0.51 0.38 0.19 0.02 0.00 0.03 0.18 0.31 0.36 42.5 + 45.0 0.42 0.39 0.34 0.34 0.44 0.61 0.81 0.94 0.97 0.92 0.83 0.79 0.84 0.96 1.09 1.17 1.17 1.14 1.12 1.19 1.34 1.51 1.60 1.53 1.30 0.99 0.71 0.56 0.57 0.67 0.77 0.81 0.75 0.65 0.57 0.57 0.64 0.75 0.82 0.81 0.73 0.62 0.54 0.51 0.53 0.57 0.57 0.53 0.44 0.34 0.28 0.29 0.38 0.50 0.59 0.59 0.47 0.27 0.07 0.00 0.00 0.16 0.37 0.52 0.53 0.41 0.23 0.08 0.04 0.12 0.26 0.38 0.42 0.39 0.34 0.34 0.44 0.61 0.81 0.94 0.97 0.92 0.83 0.79 0.84 0.96 1.09 1.17 1.17 1.14 1.12 1.19 1.34 1.51 1.60 1.53 1.30 0.99 0.71 0.56 0.57 0.67 0.77 0.81 0.75 0.65 0.57 0.57 0.64 0.75 0.82 0.81 0.73 0.62 0.54 0.51 0.53 0.57 0.57 0.53 0.44 0.34 0.28 0.29 0.38 0.50 0.59 0.59 0.47 0.27 0.07 0.00 0.00 0.16 0.37 0.52 0.53 0.41 0.23 0.08 0.04 0.12 0.26 0.38 0.42 45.0 + 47.5 0.56 0.51 0.46 0.46 0.55 0.69 0.81 0.87 0.82 0.71 0.58 0.51 0.52 0.58 0.63 0.62 0.53 0.42 0.34 0.37 0.49 0.64 0.73 0.69 0.52 0.28 0.09 0.03 0.13 0.33 0.52 0.63 0.62 0.53 0.43 0.40 0.44 0.53 0.63 0.68 0.67 0.61 0.56 0.54 0.56 0.62 0.66 0.65 0.59 0.48 0.40 0.37 0.43 0.53 0.61 0.61 0.48 0.27 0.07 0.00 0.04 0.22 0.45 0.61 0.63 0.53 0.37 0.25 0.24 0.32 0.45 0.54 0.56 0.51 0.46 0.46 0.55 0.69 0.81 0.87 0.82 0.71 0.58 0.51 0.52 0.58 0.63 0.62 0.53 0.42 0.34 0.37 0.49 0.64 0.73 0.69 0.52 0.28 0.09 0.03 0.13 0.33 0.52 0.63 0.62 0.53 0.43 0.40 0.44 0.53 0.63 0.68 0.67 0.61 0.56 0.54 0.56 0.62 0.66 0.65 0.59 0.48 0.40 0.37 0.43 0.53 0.61 0.61 0.48 0.27 0.07 0.00 0.04 0.22 0.45 0.61 0.63 0.53 0.37 0.25 0.24 0.32 0.45 0.54 0.56 47.5 + 50.0 0.73 0.65 0.56 0.53 0.58 0.66 0.71 0.70 0.60 0.46 0.32 0.26 0.26 0.30 0.30 0.24 0.11 0.00 0.00 0.00 0.04 0.21 0.32 0.31 0.17 0.00 0.00 0.00 0.00 0.21 0.44 0.57 0.59 0.50 0.37 0.29 0.29 0.37 0.48 0.57 0.60 0.57 0.51 0.48 0.50 0.57 0.66 0.71 0.68 0.59 0.48 0.42 0.45 0.53 0.62 0.64 0.54 0.37 0.21 0.14 0.22 0.43 0.66 0.82 0.85 0.76 0.62 0.53 0.53 0.61 0.71 0.76 0.73 0.65 0.56 0.53 0.58 0.66 0.71 0.70 0.60 0.46 0.32 0.26 0.26 0.30 0.30 0.24 0.11 0.00 0.00 0.00 0.04 0.21 0.32 0.31 0.17 0.00 0.00 0.00 0.00 0.21 0.44 0.57 0.59 0.50 0.37 0.29 0.29 0.37 0.48 0.57 0.60 0.57 0.51 0.48 0.50 0.57 0.66 0.71 0.68 0.59 0.48 0.42 0.45 0.53 0.62 0.64 0.54 0.37 0.21 0.14 0.22 0.43 0.66 0.82 0.85 0.76 0.62 0.53 0.53 0.61 0.71 0.76 0.73 50.0 + 52.5 0.85 0.71 0.57 0.50 0.49 0.52 0.53 0.48 0.37 0.24 0.14 0.11 0.13 0.17 0.16 0.07 0.00 0.00 0.00 0.00 0.00 0.13 0.24 0.25 0.14 0.00 0.00 0.00 0.01 0.22 0.43 0.56 0.58 0.49 0.35 0.24 0.21 0.27 0.39 0.50 0.55 0.53 0.46 0.40 0.41 0.49 0.62 0.72 0.74 0.67 0.55 0.46 0.46 0.54 0.64 0.71 0.68 0.59 0.50 0.49 0.60 0.82 1.04 1.18 1.19 1.10 0.97 0.88 0.87 0.92 0.97 0.95 0.85 0.71 0.57 0.50 0.49 0.52 0.53 0.48 0.37 0.24 0.14 0.11 0.13 0.17 0.16 0.07 0.00 0.00 0.00 0.00 0.00 0.13 0.24 0.25 0.14 0.00 0.00 0.00 0.01 0.22 0.43 0.56 0.58 0.49 0.35 0.24 0.21 0.27 0.39 0.50 0.55 0.53 0.46 0.40 0.41 0.49 0.62 0.72 0.74 0.67 0.55 0.46 0.46 0.54 0.64 0.71 0.68 0.59 0.50 0.49 0.60 0.82 1.04 1.18 1.19 1.10 0.97 0.88 0.87 0.92 0.97 0.95 0.85 52.5 + 55.0 0.85 0.65 0.46 0.35 0.30 0.30 0.28 0.24 0.16 0.09 0.06 0.09 0.15 0.19 0.16 0.07 0.00 0.00 0.00 0.00 0.06 0.22 0.32 0.31 0.21 0.08 0.00 0.00 0.08 0.24 0.40 0.50 0.52 0.44 0.32 0.22 0.19 0.24 0.35 0.47 0.53 0.51 0.44 0.37 0.37 0.47 0.62 0.76 0.82 0.77 0.65 0.55 0.53 0.61 0.76 0.89 0.96 0.98 0.98 1.03 1.18 1.38 1.57 1.67 1.64 1.52 1.37 1.25 1.19 1.17 1.13 1.03 0.85 0.65 0.46 0.35 0.30 0.30 0.28 0.24 0.16 0.09 0.06 0.09 0.15 0.19 0.16 0.07 0.00 0.00 0.00 0.00 0.06 0.22 0.32 0.31 0.21 0.08 0.00 0.00 0.08 0.24 0.40 0.50 0.52 0.44 0.32 0.22 0.19 0.24 0.35 0.47 0.53 0.51 0.44 0.37 0.37 0.47 0.62 0.76 0.82 0.77 0.65 0.55 0.53 0.61 0.76 0.89 0.96 0.98 0.98 1.03 1.18 1.38 1.57 1.67 1.64 1.52 1.37 1.25 1.19 1.17 1.13 1.03 0.85 55.0 + 57.5 0.73 0.47 0.26 0.12 0.06 0.05 0.04 0.02 0.00 0.00 0.04 0.13 0.22 0.26 0.23 0.12 0.00 0.00 0.00 0.04 0.19 0.31 0.36 0.32 0.22 0.12 0.05 0.05 0.11 0.21 0.31 0.37 0.38 0.33 0.25 0.18 0.17 0.23 0.34 0.46 0.53 0.52 0.47 0.42 0.44 0.55 0.72 0.89 0.97 0.95 0.86 0.77 0.77 0.87 1.06 1.26 1.43 1.54 1.63 1.73 1.88 2.04 2.17 2.20 2.12 1.95 1.74 1.56 1.42 1.30 1.17 0.97 0.73 0.47 0.26 0.12 0.06 0.05 0.04 0.02 0.00 0.00 0.04 0.13 0.22 0.26 0.23 0.12 0.00 0.00 0.00 0.04 0.19 0.31 0.36 0.32 0.22 0.12 0.05 0.05 0.11 0.21 0.31 0.37 0.38 0.33 0.25 0.18 0.17 0.23 0.34 0.46 0.53 0.52 0.47 0.42 0.44 0.55 0.72 0.89 0.97 0.95 0.86 0.77 0.77 0.87 1.06 1.26 1.43 1.54 1.63 1.73 1.88 2.04 2.17 2.20 2.12 1.95 1.74 1.56 1.42 1.30 1.17 0.97 0.73 57.5 + 60.0 0.53 0.26 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.26 0.30 0.24 0.13 0.01 0.00 0.01 0.12 0.24 0.31 0.30 0.22 0.12 0.05 0.02 0.04 0.09 0.14 0.18 0.19 0.19 0.17 0.14 0.13 0.14 0.21 0.31 0.43 0.51 0.54 0.53 0.53 0.59 0.73 0.92 1.11 1.23 1.25 1.22 1.18 1.22 1.37 1.60 1.85 2.07 2.24 2.36 2.47 2.58 2.67 2.71 2.66 2.50 2.27 2.00 1.74 1.52 1.31 1.08 0.82 0.53 0.26 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.26 0.30 0.24 0.13 0.01 0.00 0.01 0.12 0.24 0.31 0.30 0.22 0.12 0.05 0.02 0.04 0.09 0.14 0.18 0.19 0.19 0.17 0.14 0.13 0.14 0.21 0.31 0.43 0.51 0.54 0.53 0.53 0.59 0.73 0.92 1.11 1.23 1.25 1.22 1.18 1.22 1.37 1.60 1.85 2.07 2.24 2.36 2.47 2.58 2.67 2.71 2.66 2.50 2.27 2.00 1.74 1.52 1.31 1.08 0.82 0.53 60.0 + 62.5 0.37 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.21 0.22 0.14 0.02 0.00 0.00 0.00 0.10 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.00 0.04 0.05 0.04 0.02 0.01 0.01 0.02 0.04 0.08 0.15 0.24 0.36 0.46 0.54 0.61 0.68 0.80 0.98 1.20 1.42 1.59 1.68 1.73 1.78 1.89 2.08 2.33 2.59 2.80 2.96 3.04 3.09 3.11 3.10 3.04 2.91 2.69 2.40 2.09 1.78 1.50 1.23 0.95 0.66 0.37 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.21 0.22 0.14 0.02 0.00 0.00 0.00 0.10 0.19 0.20 0.14 0.03 0.00 0.00 0.00 0.00 0.04 0.05 0.04 0.02 0.01 0.01 0.02 0.04 0.08 0.15 0.24 0.36 0.46 0.54 0.61 0.68 0.80 0.98 1.20 1.42 1.59 1.68 1.73 1.78 1.89 2.08 2.33 2.59 2.80 2.96 3.04 3.09 3.11 3.10 3.04 2.91 2.69 2.40 2.09 1.78 1.50 1.23 0.95 0.66 0.37 62.5 + 65.0 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.26 0.40 0.55 0.70 0.86 1.05 1.27 1.52 1.78 2.00 2.19 2.33 2.48 2.66 2.87 3.10 3.31 3.46 3.53 3.51 3.45 3.35 3.22 3.07 2.87 2.62 2.33 2.01 1.70 1.40 1.13 0.86 0.59 0.32 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.04 0.00 0.00 0.00 0.00 0.00 0.02 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.14 0.26 0.40 0.55 0.70 0.86 1.05 1.27 1.52 1.78 2.00 2.19 2.33 2.48 2.66 2.87 3.10 3.31 3.46 3.53 3.51 3.45 3.35 3.22 3.07 2.87 2.62 2.33 2.01 1.70 1.40 1.13 0.86 0.59 0.32 65.0 + 67.5 0.43 0.24 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.18 0.38 0.61 0.85 1.09 1.33 1.59 1.87 2.15 2.43 2.69 2.92 3.14 3.35 3.55 3.72 3.83 3.86 3.80 3.65 3.46 3.23 3.01 2.80 2.57 2.33 2.08 1.81 1.54 1.30 1.07 0.85 0.64 0.43 0.24 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.18 0.38 0.61 0.85 1.09 1.33 1.59 1.87 2.15 2.43 2.69 2.92 3.14 3.35 3.55 3.72 3.83 3.86 3.80 3.65 3.46 3.23 3.01 2.80 2.57 2.33 2.08 1.81 1.54 1.30 1.07 0.85 0.64 0.43 67.5 + 70.0 0.66 0.51 0.37 0.27 0.18 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.44 0.76 1.08 1.38 1.67 1.94 2.21 2.50 2.80 3.10 3.38 3.62 3.82 3.95 4.02 4.00 3.89 3.70 3.44 3.13 2.83 2.55 2.31 2.10 1.91 1.73 1.55 1.38 1.23 1.09 0.95 0.81 0.66 0.51 0.37 0.27 0.18 0.10 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.44 0.76 1.08 1.38 1.67 1.94 2.21 2.50 2.80 3.10 3.38 3.62 3.82 3.95 4.02 4.00 3.89 3.70 3.44 3.13 2.83 2.55 2.31 2.10 1.91 1.73 1.55 1.38 1.23 1.09 0.95 0.81 0.66 70.0 + 72.5 0.94 0.81 0.67 0.56 0.45 0.34 0.23 0.13 0.05 0.01 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.28 0.62 1.01 1.39 1.73 2.02 2.27 2.51 2.76 3.03 3.32 3.58 3.79 3.92 3.96 3.90 3.75 3.54 3.26 2.93 2.59 2.26 1.97 1.74 1.58 1.46 1.38 1.31 1.26 1.21 1.17 1.12 1.05 0.94 0.81 0.67 0.56 0.45 0.34 0.23 0.13 0.05 0.01 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.28 0.62 1.01 1.39 1.73 2.02 2.27 2.51 2.76 3.03 3.32 3.58 3.79 3.92 3.96 3.90 3.75 3.54 3.26 2.93 2.59 2.26 1.97 1.74 1.58 1.46 1.38 1.31 1.26 1.21 1.17 1.12 1.05 0.94 72.5 + 75.0 1.18 1.07 0.94 0.81 0.69 0.57 0.44 0.33 0.25 0.23 0.26 0.28 0.26 0.16 0.02 0.00 0.00 0.03 0.22 0.40 0.46 0.38 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.21 0.51 0.90 1.33 1.74 2.08 2.34 2.53 2.68 2.85 3.05 3.27 3.48 3.62 3.66 3.58 3.40 3.15 2.88 2.58 2.28 1.97 1.68 1.43 1.23 1.12 1.07 1.08 1.12 1.18 1.24 1.28 1.30 1.27 1.18 1.07 0.94 0.81 0.69 0.57 0.44 0.33 0.25 0.23 0.26 0.28 0.26 0.16 0.02 0.00 0.00 0.03 0.22 0.40 0.46 0.38 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.21 0.51 0.90 1.33 1.74 2.08 2.34 2.53 2.68 2.85 3.05 3.27 3.48 3.62 3.66 3.58 3.40 3.15 2.88 2.58 2.28 1.97 1.68 1.43 1.23 1.12 1.07 1.08 1.12 1.18 1.24 1.28 1.30 1.27 1.18 75.0 + 77.5 1.35 1.25 1.13 1.01 0.89 0.76 0.62 0.50 0.45 0.47 0.54 0.62 0.62 0.53 0.38 0.25 0.23 0.36 0.57 0.76 0.82 0.73 0.52 0.28 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.34 0.55 0.85 1.22 1.63 2.02 2.33 2.53 2.62 2.66 2.71 2.81 2.94 3.08 3.15 3.09 2.92 2.65 2.35 2.07 1.84 1.63 1.43 1.23 1.03 0.87 0.77 0.77 0.84 0.97 1.13 1.27 1.38 1.43 1.42 1.35 1.25 1.13 1.01 0.89 0.76 0.62 0.50 0.45 0.47 0.54 0.62 0.62 0.53 0.38 0.25 0.23 0.36 0.57 0.76 0.82 0.73 0.52 0.28 0.11 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.34 0.55 0.85 1.22 1.63 2.02 2.33 2.53 2.62 2.66 2.71 2.81 2.94 3.08 3.15 3.09 2.92 2.65 2.35 2.07 1.84 1.63 1.43 1.23 1.03 0.87 0.77 0.77 0.84 0.97 1.13 1.27 1.38 1.43 1.42 1.35 77.5 + 80.0 1.42 1.34 1.25 1.15 1.04 0.89 0.73 0.61 0.57 0.64 0.78 0.92 0.97 0.88 0.71 0.55 0.51 0.64 0.86 1.07 1.15 1.04 0.80 0.53 0.33 0.22 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.48 0.69 0.85 1.02 1.23 1.51 1.85 2.17 2.41 2.52 2.51 2.42 2.34 2.33 2.39 2.47 2.49 2.39 2.15 1.83 1.52 1.29 1.17 1.11 1.06 0.96 0.81 0.66 0.55 0.55 0.67 0.86 1.09 1.29 1.43 1.49 1.48 1.42 1.34 1.25 1.15 1.04 0.89 0.73 0.61 0.57 0.64 0.78 0.92 0.97 0.88 0.71 0.55 0.51 0.64 0.86 1.07 1.15 1.04 0.80 0.53 0.33 0.22 0.16 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.48 0.69 0.85 1.02 1.23 1.51 1.85 2.17 2.41 2.52 2.51 2.42 2.34 2.33 2.39 2.47 2.49 2.39 2.15 1.83 1.52 1.29 1.17 1.11 1.06 0.96 0.81 0.66 0.55 0.55 0.67 0.86 1.09 1.29 1.43 1.49 1.48 1.42 80.0 + 82.5 1.42 1.36 1.31 1.24 1.13 0.97 0.78 0.63 0.60 0.71 0.92 1.12 1.21 1.13 0.92 0.72 0.65 0.77 1.01 1.25 1.34 1.22 0.96 0.66 0.45 0.35 0.32 0.27 0.16 0.00 0.00 0.00 0.01 0.33 0.72 1.08 1.33 1.46 1.52 1.58 1.70 1.90 2.12 2.27 2.31 2.20 2.00 1.81 1.71 1.73 1.80 1.82 1.71 1.46 1.12 0.83 0.67 0.67 0.78 0.87 0.87 0.75 0.58 0.44 0.41 0.54 0.77 1.04 1.28 1.44 1.49 1.47 1.42 1.36 1.31 1.24 1.13 0.97 0.78 0.63 0.60 0.71 0.92 1.12 1.21 1.13 0.92 0.72 0.65 0.77 1.01 1.25 1.34 1.22 0.96 0.66 0.45 0.35 0.32 0.27 0.16 0.00 0.00 0.00 0.01 0.33 0.72 1.08 1.33 1.46 1.52 1.58 1.70 1.90 2.12 2.27 2.31 2.20 2.00 1.81 1.71 1.73 1.80 1.82 1.71 1.46 1.12 0.83 0.67 0.67 0.78 0.87 0.87 0.75 0.58 0.44 0.41 0.54 0.77 1.04 1.28 1.44 1.49 1.47 1.42 82.5 + 85.0 1.38 1.35 1.34 1.30 1.19 1.00 0.77 0.58 0.54 0.68 0.94 1.19 1.31 1.22 0.98 0.73 0.62 0.72 0.97 1.23 1.34 1.23 0.96 0.66 0.46 0.40 0.44 0.47 0.42 0.29 0.18 0.20 0.41 0.81 1.30 1.72 1.98 2.03 1.94 1.81 1.73 1.77 1.87 1.96 1.94 1.77 1.51 1.26 1.12 1.13 1.23 1.30 1.23 0.99 0.67 0.39 0.30 0.40 0.63 0.84 0.91 0.80 0.59 0.40 0.33 0.45 0.70 1.01 1.27 1.42 1.45 1.42 1.38 1.35 1.34 1.30 1.19 1.00 0.77 0.58 0.54 0.68 0.94 1.19 1.31 1.22 0.98 0.73 0.62 0.72 0.97 1.23 1.34 1.23 0.96 0.66 0.46 0.40 0.44 0.47 0.42 0.29 0.18 0.20 0.41 0.81 1.30 1.72 1.98 2.03 1.94 1.81 1.73 1.77 1.87 1.96 1.94 1.77 1.51 1.26 1.12 1.13 1.23 1.30 1.23 0.99 0.67 0.39 0.30 0.40 0.63 0.84 0.91 0.80 0.59 0.40 0.33 0.45 0.70 1.01 1.27 1.42 1.45 1.42 1.38 85.0 + 87.5 1.34 1.34 1.36 1.33 1.22 1.00 0.72 0.50 0.44 0.59 0.87 1.15 1.28 1.18 0.90 0.60 0.45 0.53 0.79 1.06 1.20 1.11 0.87 0.59 0.43 0.44 0.57 0.69 0.73 0.67 0.59 0.63 0.87 1.30 1.81 2.24 2.46 2.42 2.17 1.84 1.59 1.48 1.50 1.54 1.51 1.34 1.07 0.82 0.69 0.73 0.89 1.03 1.01 0.81 0.50 0.24 0.18 0.35 0.65 0.92 1.03 0.92 0.66 0.42 0.32 0.41 0.67 0.99 1.25 1.39 1.41 1.37 1.34 1.34 1.36 1.33 1.22 1.00 0.72 0.50 0.44 0.59 0.87 1.15 1.28 1.18 0.90 0.60 0.45 0.53 0.79 1.06 1.20 1.11 0.87 0.59 0.43 0.44 0.57 0.69 0.73 0.67 0.59 0.63 0.87 1.30 1.81 2.24 2.46 2.42 2.17 1.84 1.59 1.48 1.50 1.54 1.51 1.34 1.07 0.82 0.69 0.73 0.89 1.03 1.01 0.81 0.50 0.24 0.18 0.35 0.65 0.92 1.03 0.92 0.66 0.42 0.32 0.41 0.67 0.99 1.25 1.39 1.41 1.37 1.34 87.5 + 90.0 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 90.0 + + 67.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.52 ) PHI2 = 68. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.0 + 2.5 0.49 0.65 0.85 1.07 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.91 1.12 1.35 1.58 1.82 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.28 1.05 0.84 0.65 0.50 0.42 0.40 0.41 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.35 0.39 0.49 0.65 0.85 1.07 1.29 1.53 1.79 2.03 2.22 2.30 2.25 2.09 1.86 1.61 1.37 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.91 1.12 1.35 1.58 1.82 2.04 2.19 2.24 2.16 1.99 1.76 1.51 1.28 1.05 0.84 0.65 0.50 0.42 0.40 0.41 0.38 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.35 0.36 0.35 0.39 0.49 2.5 + 5.0 0.36 0.51 0.70 0.92 1.17 1.45 1.76 2.07 2.32 2.45 2.43 2.27 2.02 1.74 1.47 1.22 0.98 0.76 0.58 0.45 0.38 0.37 0.36 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.46 0.50 0.49 0.51 0.57 0.71 0.90 1.13 1.38 1.64 1.88 2.09 2.21 2.22 2.11 1.91 1.65 1.38 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.41 0.24 0.03 0.00 0.00 0.00 0.06 0.23 0.34 0.36 0.32 0.27 0.28 0.36 0.51 0.70 0.92 1.17 1.45 1.76 2.07 2.32 2.45 2.43 2.27 2.02 1.74 1.47 1.22 0.98 0.76 0.58 0.45 0.38 0.37 0.36 0.29 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.46 0.50 0.49 0.51 0.57 0.71 0.90 1.13 1.38 1.64 1.88 2.09 2.21 2.22 2.11 1.91 1.65 1.38 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.41 0.24 0.03 0.00 0.00 0.00 0.06 0.23 0.34 0.36 0.32 0.27 0.28 0.36 5.0 + 7.5 0.21 0.34 0.51 0.73 0.99 1.31 1.68 2.06 2.39 2.59 2.62 2.48 2.23 1.93 1.63 1.36 1.13 0.91 0.73 0.58 0.51 0.49 0.50 0.48 0.39 0.24 0.07 0.00 0.00 0.09 0.28 0.47 0.60 0.63 0.61 0.58 0.59 0.69 0.86 1.10 1.37 1.66 1.91 2.09 2.16 2.13 1.99 1.76 1.49 1.21 0.93 0.68 0.48 0.34 0.30 0.36 0.47 0.57 0.61 0.54 0.39 0.21 0.09 0.08 0.16 0.29 0.40 0.42 0.36 0.26 0.18 0.15 0.21 0.34 0.51 0.73 0.99 1.31 1.68 2.06 2.39 2.59 2.62 2.48 2.23 1.93 1.63 1.36 1.13 0.91 0.73 0.58 0.51 0.49 0.50 0.48 0.39 0.24 0.07 0.00 0.00 0.09 0.28 0.47 0.60 0.63 0.61 0.58 0.59 0.69 0.86 1.10 1.37 1.66 1.91 2.09 2.16 2.13 1.99 1.76 1.49 1.21 0.93 0.68 0.48 0.34 0.30 0.36 0.47 0.57 0.61 0.54 0.39 0.21 0.09 0.08 0.16 0.29 0.40 0.42 0.36 0.26 0.18 0.15 0.21 7.5 + 10.0 0.11 0.20 0.34 0.52 0.77 1.10 1.51 1.96 2.36 2.64 2.73 2.63 2.40 2.11 1.83 1.59 1.38 1.20 1.03 0.88 0.79 0.77 0.79 0.81 0.76 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.77 0.80 0.75 0.66 0.61 0.64 0.78 1.02 1.31 1.61 1.85 1.99 2.03 1.95 1.78 1.56 1.30 1.03 0.76 0.51 0.32 0.22 0.24 0.35 0.51 0.63 0.66 0.58 0.43 0.28 0.21 0.24 0.35 0.45 0.50 0.46 0.34 0.21 0.10 0.07 0.11 0.20 0.34 0.52 0.77 1.10 1.51 1.96 2.36 2.64 2.73 2.63 2.40 2.11 1.83 1.59 1.38 1.20 1.03 0.88 0.79 0.77 0.79 0.81 0.76 0.64 0.47 0.32 0.26 0.32 0.47 0.64 0.77 0.80 0.75 0.66 0.61 0.64 0.78 1.02 1.31 1.61 1.85 1.99 2.03 1.95 1.78 1.56 1.30 1.03 0.76 0.51 0.32 0.22 0.24 0.35 0.51 0.63 0.66 0.58 0.43 0.28 0.21 0.24 0.35 0.45 0.50 0.46 0.34 0.21 0.10 0.07 0.11 10.0 + 12.5 0.06 0.12 0.20 0.33 0.54 0.85 1.27 1.74 2.19 2.53 2.68 2.64 2.47 2.23 2.01 1.84 1.70 1.56 1.42 1.28 1.18 1.14 1.17 1.20 1.19 1.07 0.88 0.68 0.55 0.55 0.66 0.82 0.94 0.96 0.87 0.73 0.61 0.58 0.69 0.92 1.21 1.51 1.72 1.83 1.82 1.71 1.54 1.34 1.13 0.89 0.64 0.41 0.24 0.17 0.23 0.38 0.55 0.65 0.64 0.51 0.34 0.22 0.20 0.28 0.41 0.51 0.52 0.44 0.30 0.16 0.07 0.04 0.06 0.12 0.20 0.33 0.54 0.85 1.27 1.74 2.19 2.53 2.68 2.64 2.47 2.23 2.01 1.84 1.70 1.56 1.42 1.28 1.18 1.14 1.17 1.20 1.19 1.07 0.88 0.68 0.55 0.55 0.66 0.82 0.94 0.96 0.87 0.73 0.61 0.58 0.69 0.92 1.21 1.51 1.72 1.83 1.82 1.71 1.54 1.34 1.13 0.89 0.64 0.41 0.24 0.17 0.23 0.38 0.55 0.65 0.64 0.51 0.34 0.22 0.20 0.28 0.41 0.51 0.52 0.44 0.30 0.16 0.07 0.04 0.06 12.5 + 15.0 0.05 0.07 0.09 0.16 0.31 0.58 0.98 1.44 1.91 2.27 2.47 2.51 2.42 2.27 2.14 2.05 1.98 1.90 1.77 1.62 1.50 1.45 1.47 1.52 1.51 1.40 1.19 0.95 0.77 0.72 0.80 0.95 1.07 1.08 0.96 0.77 0.60 0.54 0.62 0.85 1.14 1.42 1.61 1.67 1.62 1.49 1.33 1.17 1.00 0.81 0.60 0.39 0.24 0.19 0.27 0.43 0.58 0.63 0.56 0.38 0.19 0.09 0.11 0.24 0.40 0.50 0.49 0.39 0.25 0.12 0.05 0.04 0.05 0.07 0.09 0.16 0.31 0.58 0.98 1.44 1.91 2.27 2.47 2.51 2.42 2.27 2.14 2.05 1.98 1.90 1.77 1.62 1.50 1.45 1.47 1.52 1.51 1.40 1.19 0.95 0.77 0.72 0.80 0.95 1.07 1.08 0.96 0.77 0.60 0.54 0.62 0.85 1.14 1.42 1.61 1.67 1.62 1.49 1.33 1.17 1.00 0.81 0.60 0.39 0.24 0.19 0.27 0.43 0.58 0.63 0.56 0.38 0.19 0.09 0.11 0.24 0.40 0.50 0.49 0.39 0.25 0.12 0.05 0.04 0.05 15.0 + 17.5 0.03 0.01 0.00 0.00 0.10 0.33 0.69 1.13 1.56 1.93 2.16 2.25 2.25 2.21 2.19 2.18 2.16 2.10 1.97 1.80 1.65 1.58 1.60 1.64 1.65 1.54 1.32 1.06 0.85 0.79 0.86 1.00 1.11 1.11 0.98 0.77 0.59 0.53 0.62 0.85 1.15 1.41 1.57 1.60 1.52 1.38 1.23 1.09 0.96 0.80 0.61 0.42 0.29 0.26 0.35 0.50 0.62 0.62 0.48 0.26 0.07 0.00 0.07 0.25 0.43 0.51 0.48 0.35 0.20 0.09 0.04 0.03 0.03 0.01 0.00 0.00 0.10 0.33 0.69 1.13 1.56 1.93 2.16 2.25 2.25 2.21 2.19 2.18 2.16 2.10 1.97 1.80 1.65 1.58 1.60 1.64 1.65 1.54 1.32 1.06 0.85 0.79 0.86 1.00 1.11 1.11 0.98 0.77 0.59 0.53 0.62 0.85 1.15 1.41 1.57 1.60 1.52 1.38 1.23 1.09 0.96 0.80 0.61 0.42 0.29 0.26 0.35 0.50 0.62 0.62 0.48 0.26 0.07 0.00 0.07 0.25 0.43 0.51 0.48 0.35 0.20 0.09 0.04 0.03 0.03 17.5 + 20.0 0.00 0.00 0.00 0.00 0.00 0.13 0.45 0.84 1.23 1.56 1.80 1.94 2.02 2.08 2.15 2.21 2.22 2.15 2.00 1.80 1.63 1.56 1.57 1.63 1.63 1.52 1.31 1.05 0.85 0.79 0.86 0.99 1.08 1.06 0.92 0.73 0.58 0.55 0.68 0.93 1.23 1.48 1.61 1.62 1.52 1.38 1.24 1.12 0.99 0.85 0.66 0.48 0.36 0.35 0.45 0.60 0.69 0.64 0.47 0.23 0.06 0.03 0.16 0.37 0.55 0.61 0.53 0.36 0.19 0.08 0.03 0.02 0.00 0.00 0.00 0.00 0.00 0.13 0.45 0.84 1.23 1.56 1.80 1.94 2.02 2.08 2.15 2.21 2.22 2.15 2.00 1.80 1.63 1.56 1.57 1.63 1.63 1.52 1.31 1.05 0.85 0.79 0.86 0.99 1.08 1.06 0.92 0.73 0.58 0.55 0.68 0.93 1.23 1.48 1.61 1.62 1.52 1.38 1.24 1.12 0.99 0.85 0.66 0.48 0.36 0.35 0.45 0.60 0.69 0.64 0.47 0.23 0.06 0.03 0.16 0.37 0.55 0.61 0.53 0.36 0.19 0.08 0.03 0.02 0.00 20.0 + 22.5 0.00 0.00 0.00 0.00 0.00 0.00 0.29 0.64 0.96 1.23 1.45 1.62 1.77 1.93 2.08 2.20 2.23 2.16 1.99 1.79 1.63 1.57 1.60 1.66 1.66 1.54 1.31 1.06 0.87 0.81 0.86 0.96 1.01 0.96 0.82 0.66 0.56 0.58 0.76 1.03 1.32 1.55 1.67 1.66 1.57 1.44 1.31 1.19 1.06 0.91 0.72 0.55 0.44 0.45 0.57 0.71 0.79 0.72 0.54 0.32 0.18 0.21 0.39 0.62 0.78 0.78 0.64 0.42 0.22 0.10 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.29 0.64 0.96 1.23 1.45 1.62 1.77 1.93 2.08 2.20 2.23 2.16 1.99 1.79 1.63 1.57 1.60 1.66 1.66 1.54 1.31 1.06 0.87 0.81 0.86 0.96 1.01 0.96 0.82 0.66 0.56 0.58 0.76 1.03 1.32 1.55 1.67 1.66 1.57 1.44 1.31 1.19 1.06 0.91 0.72 0.55 0.44 0.45 0.57 0.71 0.79 0.72 0.54 0.32 0.18 0.21 0.39 0.62 0.78 0.78 0.64 0.42 0.22 0.10 0.04 0.00 0.00 22.5 + 25.0 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.51 0.77 0.98 1.16 1.35 1.57 1.82 2.07 2.26 2.33 2.28 2.14 1.98 1.88 1.88 1.94 1.99 1.95 1.78 1.52 1.25 1.04 0.95 0.95 0.98 0.96 0.86 0.71 0.58 0.54 0.62 0.81 1.08 1.33 1.53 1.62 1.62 1.54 1.44 1.33 1.22 1.09 0.94 0.76 0.60 0.52 0.56 0.69 0.83 0.90 0.84 0.66 0.47 0.38 0.46 0.67 0.90 1.02 0.97 0.77 0.51 0.29 0.16 0.09 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.51 0.77 0.98 1.16 1.35 1.57 1.82 2.07 2.26 2.33 2.28 2.14 1.98 1.88 1.88 1.94 1.99 1.95 1.78 1.52 1.25 1.04 0.95 0.95 0.98 0.96 0.86 0.71 0.58 0.54 0.62 0.81 1.08 1.33 1.53 1.62 1.62 1.54 1.44 1.33 1.22 1.09 0.94 0.76 0.60 0.52 0.56 0.69 0.83 0.90 0.84 0.66 0.47 0.38 0.46 0.67 0.90 1.02 0.97 0.77 0.51 0.29 0.16 0.09 0.04 0.00 25.0 + 27.5 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.46 0.67 0.82 0.97 1.18 1.47 1.82 2.18 2.46 2.61 2.63 2.58 2.53 2.54 2.61 2.70 2.73 2.61 2.35 2.01 1.67 1.42 1.27 1.18 1.11 0.99 0.83 0.66 0.56 0.55 0.66 0.83 1.04 1.22 1.35 1.41 1.40 1.35 1.29 1.21 1.13 1.02 0.89 0.74 0.62 0.58 0.65 0.80 0.94 1.00 0.93 0.77 0.61 0.56 0.67 0.90 1.11 1.19 1.10 0.86 0.58 0.37 0.26 0.21 0.15 0.02 0.00 0.00 0.00 0.00 0.00 0.20 0.46 0.67 0.82 0.97 1.18 1.47 1.82 2.18 2.46 2.61 2.63 2.58 2.53 2.54 2.61 2.70 2.73 2.61 2.35 2.01 1.67 1.42 1.27 1.18 1.11 0.99 0.83 0.66 0.56 0.55 0.66 0.83 1.04 1.22 1.35 1.41 1.40 1.35 1.29 1.21 1.13 1.02 0.89 0.74 0.62 0.58 0.65 0.80 0.94 1.00 0.93 0.77 0.61 0.56 0.67 0.90 1.11 1.19 1.10 0.86 0.58 0.37 0.26 0.21 0.15 0.02 27.5 + 30.0 0.17 0.00 0.00 0.00 0.00 0.00 0.27 0.51 0.67 0.77 0.91 1.14 1.49 1.94 2.40 2.78 3.04 3.18 3.27 3.37 3.52 3.69 3.80 3.76 3.54 3.15 2.70 2.27 1.94 1.70 1.52 1.33 1.11 0.89 0.71 0.62 0.63 0.72 0.84 0.94 1.01 1.04 1.04 1.03 1.01 0.98 0.94 0.90 0.83 0.74 0.65 0.59 0.61 0.71 0.86 1.00 1.04 0.96 0.80 0.67 0.65 0.78 1.00 1.19 1.23 1.10 0.86 0.61 0.44 0.38 0.37 0.32 0.17 0.00 0.00 0.00 0.00 0.00 0.27 0.51 0.67 0.77 0.91 1.14 1.49 1.94 2.40 2.78 3.04 3.18 3.27 3.37 3.52 3.69 3.80 3.76 3.54 3.15 2.70 2.27 1.94 1.70 1.52 1.33 1.11 0.89 0.71 0.62 0.63 0.72 0.84 0.94 1.01 1.04 1.04 1.03 1.01 0.98 0.94 0.90 0.83 0.74 0.65 0.59 0.61 0.71 0.86 1.00 1.04 0.96 0.80 0.67 0.65 0.78 1.00 1.19 1.23 1.10 0.86 0.61 0.44 0.38 0.37 0.32 0.17 30.0 + 32.5 0.35 0.12 0.00 0.00 0.00 0.14 0.42 0.64 0.77 0.86 0.98 1.22 1.62 2.13 2.67 3.14 3.49 3.75 3.98 4.24 4.52 4.77 4.87 4.76 4.41 3.90 3.33 2.82 2.43 2.13 1.86 1.58 1.29 1.02 0.84 0.77 0.79 0.84 0.86 0.84 0.78 0.71 0.65 0.62 0.61 0.61 0.60 0.59 0.56 0.52 0.50 0.50 0.57 0.71 0.86 0.98 0.99 0.90 0.74 0.63 0.63 0.77 0.98 1.14 1.15 1.00 0.77 0.56 0.47 0.48 0.52 0.50 0.35 0.12 0.00 0.00 0.00 0.14 0.42 0.64 0.77 0.86 0.98 1.22 1.62 2.13 2.67 3.14 3.49 3.75 3.98 4.24 4.52 4.77 4.87 4.76 4.41 3.90 3.33 2.82 2.43 2.13 1.86 1.58 1.29 1.02 0.84 0.77 0.79 0.84 0.86 0.84 0.78 0.71 0.65 0.62 0.61 0.61 0.60 0.59 0.56 0.52 0.50 0.50 0.57 0.71 0.86 0.98 0.99 0.90 0.74 0.63 0.63 0.77 0.98 1.14 1.15 1.00 0.77 0.56 0.47 0.48 0.52 0.50 0.35 32.5 + 35.0 0.50 0.27 0.07 0.00 0.10 0.35 0.63 0.86 0.98 1.04 1.14 1.38 1.78 2.31 2.87 3.36 3.77 4.10 4.43 4.80 5.16 5.45 5.52 5.33 4.87 4.26 3.63 3.09 2.69 2.36 2.06 1.75 1.42 1.16 1.00 0.95 0.98 0.99 0.94 0.81 0.64 0.48 0.37 0.31 0.31 0.31 0.32 0.31 0.30 0.30 0.32 0.38 0.50 0.65 0.80 0.88 0.87 0.75 0.60 0.51 0.54 0.69 0.89 1.02 1.00 0.84 0.63 0.48 0.45 0.53 0.62 0.63 0.50 0.27 0.07 0.00 0.10 0.35 0.63 0.86 0.98 1.04 1.14 1.38 1.78 2.31 2.87 3.36 3.77 4.10 4.43 4.80 5.16 5.45 5.52 5.33 4.87 4.26 3.63 3.09 2.69 2.36 2.06 1.75 1.42 1.16 1.00 0.95 0.98 0.99 0.94 0.81 0.64 0.48 0.37 0.31 0.31 0.31 0.32 0.31 0.30 0.30 0.32 0.38 0.50 0.65 0.80 0.88 0.87 0.75 0.60 0.51 0.54 0.69 0.89 1.02 1.00 0.84 0.63 0.48 0.45 0.53 0.62 0.63 0.50 35.0 + 37.5 0.57 0.38 0.21 0.18 0.33 0.60 0.90 1.11 1.22 1.25 1.32 1.53 1.89 2.37 2.87 3.32 3.70 4.03 4.38 4.78 5.17 5.44 5.47 5.21 4.69 4.05 3.43 2.94 2.59 2.31 2.04 1.74 1.44 1.21 1.09 1.09 1.13 1.14 1.05 0.86 0.63 0.42 0.29 0.22 0.21 0.21 0.20 0.17 0.15 0.15 0.19 0.28 0.42 0.58 0.71 0.76 0.71 0.58 0.43 0.37 0.43 0.60 0.80 0.91 0.87 0.70 0.50 0.38 0.39 0.52 0.65 0.68 0.57 0.38 0.21 0.18 0.33 0.60 0.90 1.11 1.22 1.25 1.32 1.53 1.89 2.37 2.87 3.32 3.70 4.03 4.38 4.78 5.17 5.44 5.47 5.21 4.69 4.05 3.43 2.94 2.59 2.31 2.04 1.74 1.44 1.21 1.09 1.09 1.13 1.14 1.05 0.86 0.63 0.42 0.29 0.22 0.21 0.21 0.20 0.17 0.15 0.15 0.19 0.28 0.42 0.58 0.71 0.76 0.71 0.58 0.43 0.37 0.43 0.60 0.80 0.91 0.87 0.70 0.50 0.38 0.39 0.52 0.65 0.68 0.57 37.5 + 40.0 0.60 0.46 0.35 0.37 0.56 0.86 1.15 1.34 1.41 1.40 1.42 1.56 1.85 2.23 2.62 2.96 3.24 3.49 3.79 4.14 4.50 4.72 4.71 4.42 3.90 3.30 2.76 2.38 2.15 1.98 1.79 1.56 1.32 1.13 1.07 1.11 1.18 1.21 1.12 0.94 0.71 0.52 0.39 0.33 0.32 0.30 0.27 0.21 0.15 0.12 0.15 0.24 0.38 0.54 0.65 0.67 0.58 0.42 0.29 0.26 0.36 0.56 0.77 0.87 0.81 0.63 0.43 0.33 0.36 0.49 0.63 0.68 0.60 0.46 0.35 0.37 0.56 0.86 1.15 1.34 1.41 1.40 1.42 1.56 1.85 2.23 2.62 2.96 3.24 3.49 3.79 4.14 4.50 4.72 4.71 4.42 3.90 3.30 2.76 2.38 2.15 1.98 1.79 1.56 1.32 1.13 1.07 1.11 1.18 1.21 1.12 0.94 0.71 0.52 0.39 0.33 0.32 0.30 0.27 0.21 0.15 0.12 0.15 0.24 0.38 0.54 0.65 0.67 0.58 0.42 0.29 0.26 0.36 0.56 0.77 0.87 0.81 0.63 0.43 0.33 0.36 0.49 0.63 0.68 0.60 40.0 + 42.5 0.64 0.54 0.49 0.56 0.78 1.07 1.33 1.47 1.47 1.40 1.36 1.42 1.61 1.88 2.14 2.33 2.47 2.60 2.80 3.08 3.36 3.54 3.50 3.22 2.75 2.24 1.84 1.61 1.51 1.48 1.40 1.26 1.08 0.94 0.91 0.98 1.08 1.14 1.11 0.98 0.81 0.66 0.57 0.53 0.53 0.51 0.46 0.38 0.28 0.22 0.21 0.28 0.41 0.55 0.64 0.63 0.51 0.34 0.21 0.21 0.36 0.60 0.83 0.93 0.86 0.67 0.47 0.37 0.39 0.52 0.65 0.70 0.64 0.54 0.49 0.56 0.78 1.07 1.33 1.47 1.47 1.40 1.36 1.42 1.61 1.88 2.14 2.33 2.47 2.60 2.80 3.08 3.36 3.54 3.50 3.22 2.75 2.24 1.84 1.61 1.51 1.48 1.40 1.26 1.08 0.94 0.91 0.98 1.08 1.14 1.11 0.98 0.81 0.66 0.57 0.53 0.53 0.51 0.46 0.38 0.28 0.22 0.21 0.28 0.41 0.55 0.64 0.63 0.51 0.34 0.21 0.21 0.36 0.60 0.83 0.93 0.86 0.67 0.47 0.37 0.39 0.52 0.65 0.70 0.64 42.5 + 45.0 0.74 0.66 0.64 0.74 0.95 1.19 1.38 1.43 1.36 1.22 1.12 1.12 1.23 1.39 1.52 1.58 1.58 1.60 1.70 1.90 2.13 2.27 2.23 1.98 1.60 1.21 0.94 0.85 0.90 0.98 1.01 0.94 0.82 0.71 0.68 0.74 0.85 0.94 0.97 0.93 0.83 0.74 0.68 0.68 0.69 0.70 0.67 0.59 0.49 0.39 0.35 0.39 0.49 0.62 0.69 0.65 0.51 0.33 0.22 0.26 0.45 0.73 0.98 1.09 1.02 0.84 0.64 0.53 0.55 0.66 0.76 0.79 0.74 0.66 0.64 0.74 0.95 1.19 1.38 1.43 1.36 1.22 1.12 1.12 1.23 1.39 1.52 1.58 1.58 1.60 1.70 1.90 2.13 2.27 2.23 1.98 1.60 1.21 0.94 0.85 0.90 0.98 1.01 0.94 0.82 0.71 0.68 0.74 0.85 0.94 0.97 0.93 0.83 0.74 0.68 0.68 0.69 0.70 0.67 0.59 0.49 0.39 0.35 0.39 0.49 0.62 0.69 0.65 0.51 0.33 0.22 0.26 0.45 0.73 0.98 1.09 1.02 0.84 0.64 0.53 0.55 0.66 0.76 0.79 0.74 45.0 + 47.5 0.90 0.81 0.78 0.86 1.02 1.19 1.28 1.24 1.09 0.90 0.77 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.76 0.91 1.10 1.23 1.22 1.03 0.74 0.46 0.30 0.32 0.45 0.62 0.72 0.72 0.63 0.52 0.46 0.48 0.57 0.68 0.76 0.77 0.75 0.70 0.67 0.68 0.73 0.78 0.80 0.76 0.67 0.57 0.50 0.50 0.58 0.69 0.76 0.72 0.59 0.43 0.35 0.42 0.66 0.97 1.24 1.36 1.30 1.13 0.94 0.84 0.85 0.92 0.98 0.98 0.90 0.81 0.78 0.86 1.02 1.19 1.28 1.24 1.09 0.90 0.77 0.73 0.79 0.88 0.92 0.88 0.79 0.73 0.76 0.91 1.10 1.23 1.22 1.03 0.74 0.46 0.30 0.32 0.45 0.62 0.72 0.72 0.63 0.52 0.46 0.48 0.57 0.68 0.76 0.77 0.75 0.70 0.67 0.68 0.73 0.78 0.80 0.76 0.67 0.57 0.50 0.50 0.58 0.69 0.76 0.72 0.59 0.43 0.35 0.42 0.66 0.97 1.24 1.36 1.30 1.13 0.94 0.84 0.85 0.92 0.98 0.98 0.90 47.5 + 50.0 1.06 0.93 0.86 0.88 0.97 1.05 1.04 0.93 0.73 0.53 0.40 0.37 0.42 0.47 0.46 0.36 0.22 0.12 0.14 0.27 0.45 0.60 0.61 0.49 0.27 0.08 0.00 0.06 0.24 0.45 0.58 0.61 0.53 0.41 0.31 0.29 0.33 0.43 0.52 0.58 0.59 0.56 0.54 0.55 0.63 0.73 0.82 0.85 0.80 0.70 0.61 0.59 0.65 0.76 0.84 0.83 0.75 0.65 0.62 0.75 1.02 1.35 1.62 1.74 1.69 1.52 1.35 1.24 1.23 1.26 1.26 1.19 1.06 0.93 0.86 0.88 0.97 1.05 1.04 0.93 0.73 0.53 0.40 0.37 0.42 0.47 0.46 0.36 0.22 0.12 0.14 0.27 0.45 0.60 0.61 0.49 0.27 0.08 0.00 0.06 0.24 0.45 0.58 0.61 0.53 0.41 0.31 0.29 0.33 0.43 0.52 0.58 0.59 0.56 0.54 0.55 0.63 0.73 0.82 0.85 0.80 0.70 0.61 0.59 0.65 0.76 0.84 0.83 0.75 0.65 0.62 0.75 1.02 1.35 1.62 1.74 1.69 1.52 1.35 1.24 1.23 1.26 1.26 1.19 1.06 50.0 + 52.5 1.13 0.94 0.81 0.77 0.78 0.79 0.72 0.57 0.38 0.21 0.12 0.13 0.19 0.23 0.19 0.07 0.00 0.00 0.00 0.00 0.17 0.33 0.37 0.28 0.12 0.00 0.00 0.03 0.21 0.40 0.54 0.57 0.50 0.38 0.26 0.19 0.20 0.26 0.35 0.42 0.43 0.40 0.37 0.39 0.48 0.63 0.78 0.88 0.87 0.79 0.69 0.65 0.70 0.82 0.95 1.01 1.01 1.00 1.06 1.25 1.54 1.87 2.13 2.22 2.16 1.98 1.80 1.68 1.61 1.57 1.49 1.34 1.13 0.94 0.81 0.77 0.78 0.79 0.72 0.57 0.38 0.21 0.12 0.13 0.19 0.23 0.19 0.07 0.00 0.00 0.00 0.00 0.17 0.33 0.37 0.28 0.12 0.00 0.00 0.03 0.21 0.40 0.54 0.57 0.50 0.38 0.26 0.19 0.20 0.26 0.35 0.42 0.43 0.40 0.37 0.39 0.48 0.63 0.78 0.88 0.87 0.79 0.69 0.65 0.70 0.82 0.95 1.01 1.01 1.00 1.06 1.25 1.54 1.87 2.13 2.22 2.16 1.98 1.80 1.68 1.61 1.57 1.49 1.34 1.13 52.5 + 55.0 1.05 0.80 0.62 0.53 0.50 0.46 0.37 0.23 0.08 0.00 0.00 0.03 0.11 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.13 0.27 0.30 0.24 0.12 0.02 0.01 0.09 0.24 0.40 0.51 0.54 0.48 0.37 0.26 0.18 0.16 0.20 0.28 0.33 0.34 0.30 0.27 0.28 0.39 0.57 0.77 0.91 0.94 0.88 0.79 0.75 0.81 0.96 1.15 1.30 1.42 1.52 1.67 1.91 2.21 2.51 2.71 2.75 2.64 2.44 2.22 2.04 1.90 1.77 1.58 1.33 1.05 0.80 0.62 0.53 0.50 0.46 0.37 0.23 0.08 0.00 0.00 0.03 0.11 0.15 0.09 0.00 0.00 0.00 0.00 0.00 0.13 0.27 0.30 0.24 0.12 0.02 0.01 0.09 0.24 0.40 0.51 0.54 0.48 0.37 0.26 0.18 0.16 0.20 0.28 0.33 0.34 0.30 0.27 0.28 0.39 0.57 0.77 0.91 0.94 0.88 0.79 0.75 0.81 0.96 1.15 1.30 1.42 1.52 1.67 1.91 2.21 2.51 2.71 2.75 2.64 2.44 2.22 2.04 1.90 1.77 1.58 1.33 1.05 55.0 + 57.5 0.82 0.53 0.32 0.22 0.17 0.13 0.06 0.00 0.00 0.00 0.00 0.01 0.12 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.26 0.19 0.10 0.04 0.05 0.12 0.24 0.35 0.42 0.44 0.41 0.34 0.26 0.20 0.19 0.22 0.28 0.33 0.34 0.31 0.28 0.31 0.43 0.63 0.84 1.01 1.07 1.03 0.97 0.96 1.05 1.25 1.50 1.75 1.97 2.18 2.40 2.65 2.92 3.15 3.26 3.22 3.04 2.78 2.51 2.26 2.03 1.79 1.50 1.17 0.82 0.53 0.32 0.22 0.17 0.13 0.06 0.00 0.00 0.00 0.00 0.01 0.12 0.14 0.07 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.26 0.19 0.10 0.04 0.05 0.12 0.24 0.35 0.42 0.44 0.41 0.34 0.26 0.20 0.19 0.22 0.28 0.33 0.34 0.31 0.28 0.31 0.43 0.63 0.84 1.01 1.07 1.03 0.97 0.96 1.05 1.25 1.50 1.75 1.97 2.18 2.40 2.65 2.92 3.15 3.26 3.22 3.04 2.78 2.51 2.26 2.03 1.79 1.50 1.17 0.82 57.5 + 60.0 0.54 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.12 0.04 0.00 0.00 0.00 0.00 0.03 0.15 0.19 0.15 0.06 0.00 0.00 0.00 0.08 0.16 0.23 0.26 0.27 0.26 0.24 0.23 0.22 0.23 0.27 0.33 0.38 0.40 0.41 0.41 0.47 0.60 0.80 1.01 1.19 1.28 1.29 1.28 1.33 1.47 1.72 2.03 2.34 2.63 2.88 3.12 3.33 3.52 3.64 3.64 3.51 3.26 2.94 2.61 2.30 1.99 1.66 1.30 0.91 0.54 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.12 0.04 0.00 0.00 0.00 0.00 0.03 0.15 0.19 0.15 0.06 0.00 0.00 0.00 0.08 0.16 0.23 0.26 0.27 0.26 0.24 0.23 0.22 0.23 0.27 0.33 0.38 0.40 0.41 0.41 0.47 0.60 0.80 1.01 1.19 1.28 1.29 1.28 1.33 1.47 1.72 2.03 2.34 2.63 2.88 3.12 3.33 3.52 3.64 3.64 3.51 3.26 2.94 2.61 2.30 1.99 1.66 1.30 0.91 0.54 60.0 + 62.5 0.31 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.07 0.07 0.07 0.08 0.12 0.15 0.19 0.24 0.29 0.36 0.43 0.50 0.55 0.61 0.70 0.84 1.04 1.25 1.43 1.56 1.64 1.71 1.83 2.04 2.33 2.66 2.99 3.28 3.51 3.68 3.81 3.87 3.86 3.74 3.52 3.22 2.87 2.52 2.17 1.82 1.46 1.07 0.68 0.31 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.01 0.09 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.07 0.07 0.07 0.08 0.12 0.15 0.19 0.24 0.29 0.36 0.43 0.50 0.55 0.61 0.70 0.84 1.04 1.25 1.43 1.56 1.64 1.71 1.83 2.04 2.33 2.66 2.99 3.28 3.51 3.68 3.81 3.87 3.86 3.74 3.52 3.22 2.87 2.52 2.17 1.82 1.46 1.07 0.68 0.31 62.5 + 65.0 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.19 0.27 0.36 0.47 0.59 0.70 0.82 0.95 1.11 1.30 1.50 1.70 1.87 2.03 2.19 2.39 2.65 2.96 3.27 3.55 3.77 3.91 3.97 3.96 3.88 3.73 3.52 3.25 2.94 2.60 2.27 1.94 1.62 1.29 0.94 0.58 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.13 0.19 0.27 0.36 0.47 0.59 0.70 0.82 0.95 1.11 1.30 1.50 1.70 1.87 2.03 2.19 2.39 2.65 2.96 3.27 3.55 3.77 3.91 3.97 3.96 3.88 3.73 3.52 3.25 2.94 2.60 2.27 1.94 1.62 1.29 0.94 0.58 0.26 65.0 + 67.5 0.41 0.18 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.20 0.33 0.49 0.67 0.86 1.04 1.20 1.37 1.55 1.74 1.95 2.16 2.38 2.62 2.89 3.17 3.45 3.70 3.88 3.98 3.99 3.91 3.75 3.55 3.30 3.04 2.76 2.48 2.21 1.95 1.71 1.47 1.22 0.96 0.68 0.41 0.18 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.11 0.20 0.33 0.49 0.67 0.86 1.04 1.20 1.37 1.55 1.74 1.95 2.16 2.38 2.62 2.89 3.17 3.45 3.70 3.88 3.98 3.99 3.91 3.75 3.55 3.30 3.04 2.76 2.48 2.21 1.95 1.71 1.47 1.22 0.96 0.68 0.41 67.5 + 70.0 0.72 0.51 0.33 0.20 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.53 0.79 1.04 1.27 1.46 1.62 1.78 1.95 2.15 2.38 2.64 2.92 3.20 3.46 3.67 3.82 3.88 3.85 3.73 3.52 3.26 2.98 2.69 2.42 2.18 1.97 1.80 1.65 1.53 1.41 1.28 1.13 0.93 0.72 0.51 0.33 0.20 0.11 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.30 0.53 0.79 1.04 1.27 1.46 1.62 1.78 1.95 2.15 2.38 2.64 2.92 3.20 3.46 3.67 3.82 3.88 3.85 3.73 3.52 3.26 2.98 2.69 2.42 2.18 1.97 1.80 1.65 1.53 1.41 1.28 1.13 0.93 0.72 70.0 + 72.5 1.08 0.88 0.69 0.53 0.40 0.29 0.19 0.09 0.03 0.00 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.63 0.95 1.26 1.53 1.73 1.88 2.00 2.13 2.29 2.50 2.74 3.01 3.25 3.45 3.57 3.59 3.53 3.39 3.19 2.92 2.63 2.32 2.04 1.80 1.62 1.49 1.43 1.40 1.41 1.43 1.42 1.37 1.25 1.08 0.88 0.69 0.53 0.40 0.29 0.19 0.09 0.03 0.00 0.01 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.23 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.63 0.95 1.26 1.53 1.73 1.88 2.00 2.13 2.29 2.50 2.74 3.01 3.25 3.45 3.57 3.59 3.53 3.39 3.19 2.92 2.63 2.32 2.04 1.80 1.62 1.49 1.43 1.40 1.41 1.43 1.42 1.37 1.25 1.08 72.5 + 75.0 1.37 1.19 0.99 0.82 0.67 0.54 0.41 0.30 0.23 0.21 0.23 0.25 0.21 0.11 0.00 0.00 0.00 0.08 0.29 0.46 0.52 0.43 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.48 0.81 1.17 1.51 1.80 2.00 2.12 2.19 2.25 2.33 2.47 2.66 2.87 3.04 3.15 3.16 3.07 2.92 2.71 2.49 2.24 1.99 1.73 1.49 1.30 1.17 1.11 1.13 1.22 1.34 1.47 1.56 1.58 1.52 1.37 1.19 0.99 0.82 0.67 0.54 0.41 0.30 0.23 0.21 0.23 0.25 0.21 0.11 0.00 0.00 0.00 0.08 0.29 0.46 0.52 0.43 0.26 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.22 0.48 0.81 1.17 1.51 1.80 2.00 2.12 2.19 2.25 2.33 2.47 2.66 2.87 3.04 3.15 3.16 3.07 2.92 2.71 2.49 2.24 1.99 1.73 1.49 1.30 1.17 1.11 1.13 1.22 1.34 1.47 1.56 1.58 1.52 1.37 75.0 + 77.5 1.54 1.37 1.20 1.03 0.88 0.74 0.59 0.47 0.40 0.41 0.47 0.52 0.51 0.41 0.26 0.15 0.15 0.28 0.50 0.69 0.76 0.68 0.50 0.29 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.49 0.75 1.07 1.41 1.75 2.02 2.21 2.29 2.29 2.26 2.24 2.27 2.38 2.51 2.62 2.64 2.55 2.37 2.15 1.94 1.76 1.60 1.46 1.29 1.11 0.95 0.85 0.83 0.91 1.07 1.28 1.48 1.63 1.70 1.66 1.54 1.37 1.20 1.03 0.88 0.74 0.59 0.47 0.40 0.41 0.47 0.52 0.51 0.41 0.26 0.15 0.15 0.28 0.50 0.69 0.76 0.68 0.50 0.29 0.13 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.27 0.49 0.75 1.07 1.41 1.75 2.02 2.21 2.29 2.29 2.26 2.24 2.27 2.38 2.51 2.62 2.64 2.55 2.37 2.15 1.94 1.76 1.60 1.46 1.29 1.11 0.95 0.85 0.83 0.91 1.07 1.28 1.48 1.63 1.70 1.66 1.54 77.5 + 80.0 1.56 1.42 1.29 1.16 1.02 0.86 0.69 0.55 0.49 0.53 0.65 0.76 0.78 0.68 0.49 0.33 0.29 0.40 0.62 0.84 0.92 0.84 0.64 0.40 0.21 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.69 0.91 1.13 1.37 1.63 1.89 2.13 2.28 2.32 2.25 2.11 1.98 1.92 1.94 2.01 2.07 2.02 1.86 1.62 1.37 1.19 1.10 1.09 1.08 1.02 0.90 0.75 0.64 0.62 0.72 0.93 1.19 1.44 1.62 1.69 1.66 1.56 1.42 1.29 1.16 1.02 0.86 0.69 0.55 0.49 0.53 0.65 0.76 0.78 0.68 0.49 0.33 0.29 0.40 0.62 0.84 0.92 0.84 0.64 0.40 0.21 0.10 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.44 0.69 0.91 1.13 1.37 1.63 1.89 2.13 2.28 2.32 2.25 2.11 1.98 1.92 1.94 2.01 2.07 2.02 1.86 1.62 1.37 1.19 1.10 1.09 1.08 1.02 0.90 0.75 0.64 0.62 0.72 0.93 1.19 1.44 1.62 1.69 1.66 1.56 80.0 + 82.5 1.48 1.39 1.30 1.21 1.08 0.90 0.70 0.53 0.47 0.55 0.72 0.89 0.95 0.84 0.61 0.39 0.30 0.40 0.62 0.85 0.95 0.87 0.65 0.40 0.20 0.10 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.19 0.57 0.95 1.24 1.43 1.54 1.63 1.74 1.89 2.05 2.15 2.15 2.02 1.80 1.58 1.44 1.41 1.46 1.50 1.43 1.24 0.96 0.71 0.58 0.60 0.72 0.85 0.89 0.81 0.65 0.49 0.45 0.55 0.78 1.08 1.35 1.53 1.60 1.57 1.48 1.39 1.30 1.21 1.08 0.90 0.70 0.53 0.47 0.55 0.72 0.89 0.95 0.84 0.61 0.39 0.30 0.40 0.62 0.85 0.95 0.87 0.65 0.40 0.20 0.10 0.07 0.03 0.00 0.00 0.00 0.00 0.00 0.19 0.57 0.95 1.24 1.43 1.54 1.63 1.74 1.89 2.05 2.15 2.15 2.02 1.80 1.58 1.44 1.41 1.46 1.50 1.43 1.24 0.96 0.71 0.58 0.60 0.72 0.85 0.89 0.81 0.65 0.49 0.45 0.55 0.78 1.08 1.35 1.53 1.60 1.57 1.48 82.5 + 85.0 1.36 1.31 1.28 1.22 1.10 0.89 0.65 0.45 0.38 0.49 0.72 0.93 1.01 0.88 0.61 0.34 0.20 0.27 0.50 0.75 0.87 0.79 0.57 0.31 0.14 0.08 0.11 0.13 0.09 0.00 0.00 0.00 0.18 0.58 1.07 1.52 1.82 1.93 1.88 1.76 1.68 1.68 1.76 1.82 1.80 1.64 1.38 1.11 0.93 0.89 0.96 1.02 0.97 0.77 0.49 0.24 0.15 0.27 0.51 0.75 0.86 0.79 0.59 0.40 0.31 0.41 0.66 0.97 1.25 1.42 1.47 1.43 1.36 1.31 1.28 1.22 1.10 0.89 0.65 0.45 0.38 0.49 0.72 0.93 1.01 0.88 0.61 0.34 0.20 0.27 0.50 0.75 0.87 0.79 0.57 0.31 0.14 0.08 0.11 0.13 0.09 0.00 0.00 0.00 0.18 0.58 1.07 1.52 1.82 1.93 1.88 1.76 1.68 1.68 1.76 1.82 1.80 1.64 1.38 1.11 0.93 0.89 0.96 1.02 0.97 0.77 0.49 0.24 0.15 0.27 0.51 0.75 0.86 0.79 0.59 0.40 0.31 0.41 0.66 0.97 1.25 1.42 1.47 1.43 1.36 85.0 + 87.5 1.26 1.25 1.26 1.23 1.10 0.87 0.58 0.35 0.28 0.40 0.66 0.90 0.99 0.85 0.54 0.22 0.04 0.10 0.33 0.59 0.73 0.67 0.47 0.24 0.11 0.13 0.25 0.36 0.38 0.32 0.27 0.33 0.59 1.04 1.56 2.01 2.26 2.25 2.02 1.71 1.44 1.31 1.30 1.34 1.32 1.17 0.92 0.65 0.49 0.50 0.61 0.72 0.71 0.53 0.24 0.00 0.00 0.11 0.43 0.73 0.88 0.81 0.58 0.34 0.23 0.32 0.57 0.89 1.16 1.32 1.35 1.31 1.26 1.25 1.26 1.23 1.10 0.87 0.58 0.35 0.28 0.40 0.66 0.90 0.99 0.85 0.54 0.22 0.04 0.10 0.33 0.59 0.73 0.67 0.47 0.24 0.11 0.13 0.25 0.36 0.38 0.32 0.27 0.33 0.59 1.04 1.56 2.01 2.26 2.25 2.02 1.71 1.44 1.31 1.30 1.34 1.32 1.17 0.92 0.65 0.49 0.50 0.61 0.72 0.71 0.53 0.24 0.00 0.00 0.11 0.43 0.73 0.88 0.81 0.58 0.34 0.23 0.32 0.57 0.89 1.16 1.32 1.35 1.31 1.26 87.5 + 90.0 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 90.0 + + 70.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.82 ) PHI2 = 70. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.0 + 2.5 0.65 0.85 1.07 1.29 1.54 1.79 2.04 2.22 2.30 2.25 2.09 1.86 1.61 1.36 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.90 1.12 1.35 1.58 1.82 2.04 2.19 2.23 2.16 1.99 1.76 1.51 1.28 1.06 0.85 0.65 0.50 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.36 0.35 0.39 0.49 0.65 0.85 1.07 1.29 1.54 1.79 2.04 2.22 2.30 2.25 2.09 1.86 1.61 1.36 1.14 0.92 0.71 0.54 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.25 0.37 0.41 0.41 0.45 0.55 0.71 0.90 1.12 1.35 1.58 1.82 2.04 2.19 2.23 2.16 1.99 1.76 1.51 1.28 1.06 0.85 0.65 0.50 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.36 0.35 0.39 0.49 0.65 2.5 + 5.0 0.51 0.71 0.93 1.18 1.46 1.77 2.08 2.33 2.45 2.43 2.27 2.01 1.73 1.45 1.20 0.96 0.75 0.56 0.43 0.36 0.35 0.34 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.49 0.50 0.56 0.69 0.88 1.11 1.36 1.62 1.86 2.07 2.19 2.20 2.10 1.90 1.65 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.40 0.23 0.02 0.00 0.00 0.00 0.05 0.22 0.33 0.34 0.30 0.26 0.27 0.36 0.51 0.71 0.93 1.18 1.46 1.77 2.08 2.33 2.45 2.43 2.27 2.01 1.73 1.45 1.20 0.96 0.75 0.56 0.43 0.36 0.35 0.34 0.28 0.15 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.49 0.50 0.56 0.69 0.88 1.11 1.36 1.62 1.86 2.07 2.19 2.20 2.10 1.90 1.65 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.49 0.40 0.23 0.02 0.00 0.00 0.00 0.05 0.22 0.33 0.34 0.30 0.26 0.27 0.36 0.51 5.0 + 7.5 0.34 0.52 0.73 0.99 1.32 1.69 2.08 2.40 2.60 2.61 2.46 2.20 1.89 1.59 1.32 1.08 0.87 0.68 0.53 0.46 0.44 0.45 0.44 0.36 0.21 0.04 0.00 0.00 0.05 0.24 0.44 0.57 0.61 0.58 0.54 0.55 0.63 0.81 1.04 1.32 1.60 1.85 2.04 2.12 2.09 1.96 1.75 1.48 1.20 0.93 0.67 0.47 0.33 0.29 0.35 0.45 0.55 0.58 0.50 0.34 0.17 0.05 0.04 0.13 0.26 0.36 0.38 0.32 0.22 0.15 0.13 0.20 0.34 0.52 0.73 0.99 1.32 1.69 2.08 2.40 2.60 2.61 2.46 2.20 1.89 1.59 1.32 1.08 0.87 0.68 0.53 0.46 0.44 0.45 0.44 0.36 0.21 0.04 0.00 0.00 0.05 0.24 0.44 0.57 0.61 0.58 0.54 0.55 0.63 0.81 1.04 1.32 1.60 1.85 2.04 2.12 2.09 1.96 1.75 1.48 1.20 0.93 0.67 0.47 0.33 0.29 0.35 0.45 0.55 0.58 0.50 0.34 0.17 0.05 0.04 0.13 0.26 0.36 0.38 0.32 0.22 0.15 0.13 0.20 0.34 7.5 + 10.0 0.18 0.32 0.51 0.76 1.10 1.52 1.97 2.37 2.63 2.70 2.58 2.33 2.03 1.74 1.50 1.30 1.11 0.93 0.78 0.69 0.67 0.69 0.71 0.68 0.56 0.39 0.23 0.16 0.22 0.37 0.55 0.69 0.72 0.67 0.57 0.51 0.54 0.68 0.92 1.21 1.51 1.75 1.90 1.94 1.88 1.73 1.52 1.27 1.00 0.73 0.47 0.27 0.17 0.19 0.30 0.46 0.58 0.60 0.50 0.34 0.19 0.12 0.16 0.26 0.38 0.43 0.38 0.27 0.13 0.04 0.02 0.07 0.18 0.32 0.51 0.76 1.10 1.52 1.97 2.37 2.63 2.70 2.58 2.33 2.03 1.74 1.50 1.30 1.11 0.93 0.78 0.69 0.67 0.69 0.71 0.68 0.56 0.39 0.23 0.16 0.22 0.37 0.55 0.69 0.72 0.67 0.57 0.51 0.54 0.68 0.92 1.21 1.51 1.75 1.90 1.94 1.88 1.73 1.52 1.27 1.00 0.73 0.47 0.27 0.17 0.19 0.30 0.46 0.58 0.60 0.50 0.34 0.19 0.12 0.16 0.26 0.38 0.43 0.38 0.27 0.13 0.04 0.02 0.07 0.18 10.0 + 12.5 0.06 0.15 0.28 0.50 0.82 1.25 1.74 2.19 2.51 2.63 2.57 2.37 2.12 1.89 1.71 1.57 1.43 1.28 1.13 1.02 0.98 1.00 1.04 1.03 0.92 0.73 0.51 0.37 0.37 0.48 0.66 0.79 0.82 0.74 0.58 0.45 0.42 0.53 0.77 1.07 1.37 1.59 1.70 1.70 1.61 1.46 1.27 1.07 0.83 0.58 0.33 0.15 0.07 0.13 0.28 0.45 0.55 0.52 0.38 0.20 0.07 0.05 0.14 0.28 0.39 0.41 0.32 0.18 0.05 0.00 0.00 0.00 0.06 0.15 0.28 0.50 0.82 1.25 1.74 2.19 2.51 2.63 2.57 2.37 2.12 1.89 1.71 1.57 1.43 1.28 1.13 1.02 0.98 1.00 1.04 1.03 0.92 0.73 0.51 0.37 0.37 0.48 0.66 0.79 0.82 0.74 0.58 0.45 0.42 0.53 0.77 1.07 1.37 1.59 1.70 1.70 1.61 1.46 1.27 1.07 0.83 0.58 0.33 0.15 0.07 0.13 0.28 0.45 0.55 0.52 0.38 0.20 0.07 0.05 0.14 0.28 0.39 0.41 0.32 0.18 0.05 0.00 0.00 0.00 0.06 12.5 + 15.0 0.00 0.01 0.08 0.24 0.53 0.95 1.43 1.90 2.25 2.43 2.42 2.30 2.13 1.99 1.89 1.83 1.74 1.61 1.45 1.31 1.24 1.26 1.31 1.30 1.19 0.97 0.72 0.52 0.47 0.56 0.73 0.87 0.90 0.79 0.59 0.42 0.35 0.44 0.67 0.97 1.26 1.45 1.52 1.48 1.37 1.24 1.09 0.93 0.73 0.51 0.28 0.11 0.06 0.14 0.30 0.46 0.51 0.42 0.22 0.01 0.00 0.00 0.07 0.24 0.35 0.35 0.25 0.10 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.24 0.53 0.95 1.43 1.90 2.25 2.43 2.42 2.30 2.13 1.99 1.89 1.83 1.74 1.61 1.45 1.31 1.24 1.26 1.31 1.30 1.19 0.97 0.72 0.52 0.47 0.56 0.73 0.87 0.90 0.79 0.59 0.42 0.35 0.44 0.67 0.97 1.26 1.45 1.52 1.48 1.37 1.24 1.09 0.93 0.73 0.51 0.28 0.11 0.06 0.14 0.30 0.46 0.51 0.42 0.22 0.01 0.00 0.00 0.07 0.24 0.35 0.35 0.25 0.10 0.00 0.00 0.00 0.00 0.00 15.0 + 17.5 0.00 0.00 0.00 0.02 0.28 0.67 1.14 1.59 1.94 2.13 2.19 2.14 2.07 2.03 2.02 2.01 1.94 1.80 1.62 1.45 1.36 1.37 1.42 1.42 1.31 1.07 0.80 0.58 0.52 0.61 0.78 0.92 0.94 0.82 0.61 0.42 0.35 0.45 0.68 0.99 1.26 1.42 1.46 1.39 1.27 1.14 1.02 0.90 0.73 0.53 0.31 0.16 0.13 0.22 0.38 0.51 0.51 0.36 0.12 0.00 0.00 0.00 0.08 0.27 0.37 0.34 0.21 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.28 0.67 1.14 1.59 1.94 2.13 2.19 2.14 2.07 2.03 2.02 2.01 1.94 1.80 1.62 1.45 1.36 1.37 1.42 1.42 1.31 1.07 0.80 0.58 0.52 0.61 0.78 0.92 0.94 0.82 0.61 0.42 0.35 0.45 0.68 0.99 1.26 1.42 1.46 1.39 1.27 1.14 1.02 0.90 0.73 0.53 0.31 0.16 0.13 0.22 0.38 0.51 0.51 0.36 0.12 0.00 0.00 0.00 0.08 0.27 0.37 0.34 0.21 0.06 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.00 0.11 0.48 0.90 1.31 1.63 1.83 1.92 1.94 1.97 2.02 2.08 2.10 2.03 1.86 1.65 1.45 1.36 1.36 1.41 1.41 1.30 1.07 0.80 0.60 0.54 0.64 0.80 0.94 0.94 0.81 0.61 0.45 0.41 0.54 0.80 1.10 1.36 1.50 1.51 1.43 1.30 1.19 1.08 0.97 0.82 0.62 0.41 0.27 0.26 0.37 0.53 0.64 0.60 0.41 0.16 0.00 0.00 0.04 0.26 0.45 0.52 0.44 0.27 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.48 0.90 1.31 1.63 1.83 1.92 1.94 1.97 2.02 2.08 2.10 2.03 1.86 1.65 1.45 1.36 1.36 1.41 1.41 1.30 1.07 0.80 0.60 0.54 0.64 0.80 0.94 0.94 0.81 0.61 0.45 0.41 0.54 0.80 1.10 1.36 1.50 1.51 1.43 1.30 1.19 1.08 0.97 0.82 0.62 0.41 0.27 0.26 0.37 0.53 0.64 0.60 0.41 0.16 0.00 0.00 0.04 0.26 0.45 0.52 0.44 0.27 0.09 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.00 0.03 0.38 0.77 1.12 1.38 1.55 1.66 1.76 1.87 2.00 2.12 2.15 2.08 1.89 1.66 1.47 1.39 1.41 1.46 1.46 1.33 1.09 0.83 0.64 0.59 0.68 0.83 0.92 0.90 0.76 0.59 0.47 0.49 0.66 0.94 1.24 1.47 1.59 1.60 1.52 1.40 1.30 1.20 1.08 0.93 0.73 0.53 0.42 0.42 0.55 0.72 0.82 0.77 0.58 0.34 0.17 0.18 0.35 0.59 0.76 0.78 0.63 0.40 0.19 0.06 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.38 0.77 1.12 1.38 1.55 1.66 1.76 1.87 2.00 2.12 2.15 2.08 1.89 1.66 1.47 1.39 1.41 1.46 1.46 1.33 1.09 0.83 0.64 0.59 0.68 0.83 0.92 0.90 0.76 0.59 0.47 0.49 0.66 0.94 1.24 1.47 1.59 1.60 1.52 1.40 1.30 1.20 1.08 0.93 0.73 0.53 0.42 0.42 0.55 0.72 0.82 0.77 0.58 0.34 0.17 0.18 0.35 0.59 0.76 0.78 0.63 0.40 0.19 0.06 0.01 0.00 0.00 0.00 22.5 + 25.0 0.00 0.00 0.00 0.00 0.02 0.36 0.71 1.00 1.20 1.33 1.46 1.62 1.82 2.04 2.22 2.29 2.23 2.06 1.86 1.73 1.69 1.74 1.79 1.75 1.57 1.30 1.01 0.81 0.75 0.80 0.88 0.90 0.83 0.68 0.53 0.47 0.54 0.74 1.01 1.28 1.48 1.58 1.58 1.52 1.43 1.34 1.25 1.14 0.99 0.80 0.63 0.54 0.59 0.74 0.92 1.02 0.97 0.79 0.57 0.46 0.52 0.72 0.96 1.10 1.06 0.86 0.58 0.35 0.21 0.15 0.10 0.01 0.00 0.00 0.00 0.00 0.02 0.36 0.71 1.00 1.20 1.33 1.46 1.62 1.82 2.04 2.22 2.29 2.23 2.06 1.86 1.73 1.69 1.74 1.79 1.75 1.57 1.30 1.01 0.81 0.75 0.80 0.88 0.90 0.83 0.68 0.53 0.47 0.54 0.74 1.01 1.28 1.48 1.58 1.58 1.52 1.43 1.34 1.25 1.14 0.99 0.80 0.63 0.54 0.59 0.74 0.92 1.02 0.97 0.79 0.57 0.46 0.52 0.72 0.96 1.10 1.06 0.86 0.58 0.35 0.21 0.15 0.10 0.01 0.00 25.0 + 27.5 0.00 0.00 0.00 0.00 0.08 0.41 0.72 0.94 1.09 1.19 1.33 1.56 1.86 2.19 2.45 2.58 2.58 2.49 2.39 2.36 2.42 2.50 2.53 2.41 2.13 1.76 1.41 1.16 1.05 1.02 1.01 0.93 0.79 0.61 0.49 0.47 0.57 0.76 0.98 1.18 1.32 1.37 1.37 1.33 1.28 1.22 1.16 1.06 0.93 0.78 0.65 0.61 0.69 0.87 1.06 1.15 1.10 0.94 0.76 0.69 0.79 1.02 1.25 1.36 1.27 1.03 0.74 0.51 0.39 0.34 0.29 0.17 0.00 0.00 0.00 0.00 0.08 0.41 0.72 0.94 1.09 1.19 1.33 1.56 1.86 2.19 2.45 2.58 2.58 2.49 2.39 2.36 2.42 2.50 2.53 2.41 2.13 1.76 1.41 1.16 1.05 1.02 1.01 0.93 0.79 0.61 0.49 0.47 0.57 0.76 0.98 1.18 1.32 1.37 1.37 1.33 1.28 1.22 1.16 1.06 0.93 0.78 0.65 0.61 0.69 0.87 1.06 1.15 1.10 0.94 0.76 0.69 0.79 1.02 1.25 1.36 1.27 1.03 0.74 0.51 0.39 0.34 0.29 0.17 0.00 27.5 + 30.0 0.17 0.00 0.00 0.00 0.19 0.51 0.79 0.97 1.07 1.15 1.31 1.60 2.00 2.43 2.79 3.03 3.13 3.17 3.22 3.34 3.50 3.61 3.58 3.35 2.93 2.44 1.99 1.66 1.47 1.35 1.22 1.04 0.82 0.62 0.51 0.51 0.61 0.75 0.88 0.97 1.01 1.01 0.99 0.97 0.95 0.93 0.90 0.84 0.75 0.64 0.58 0.60 0.72 0.91 1.09 1.17 1.11 0.96 0.81 0.78 0.91 1.15 1.37 1.45 1.34 1.09 0.82 0.64 0.57 0.57 0.53 0.39 0.17 0.00 0.00 0.00 0.19 0.51 0.79 0.97 1.07 1.15 1.31 1.60 2.00 2.43 2.79 3.03 3.13 3.17 3.22 3.34 3.50 3.61 3.58 3.35 2.93 2.44 1.99 1.66 1.47 1.35 1.22 1.04 0.82 0.62 0.51 0.51 0.61 0.75 0.88 0.97 1.01 1.01 0.99 0.97 0.95 0.93 0.90 0.84 0.75 0.64 0.58 0.60 0.72 0.91 1.09 1.17 1.11 0.96 0.81 0.78 0.91 1.15 1.37 1.45 1.34 1.09 0.82 0.64 0.57 0.57 0.53 0.39 0.17 30.0 + 32.5 0.39 0.15 0.04 0.12 0.36 0.68 0.94 1.09 1.15 1.22 1.40 1.74 2.21 2.72 3.17 3.50 3.73 3.92 4.14 4.40 4.66 4.78 4.68 4.31 3.74 3.12 2.58 2.19 1.93 1.72 1.50 1.23 0.95 0.74 0.64 0.65 0.72 0.79 0.80 0.76 0.69 0.62 0.58 0.57 0.57 0.57 0.56 0.53 0.48 0.43 0.43 0.50 0.65 0.85 1.02 1.07 1.00 0.84 0.72 0.72 0.87 1.12 1.34 1.40 1.28 1.05 0.83 0.71 0.72 0.77 0.76 0.63 0.39 0.15 0.04 0.12 0.36 0.68 0.94 1.09 1.15 1.22 1.40 1.74 2.21 2.72 3.17 3.50 3.73 3.92 4.14 4.40 4.66 4.78 4.68 4.31 3.74 3.12 2.58 2.19 1.93 1.72 1.50 1.23 0.95 0.74 0.64 0.65 0.72 0.79 0.80 0.76 0.69 0.62 0.58 0.57 0.57 0.57 0.56 0.53 0.48 0.43 0.43 0.50 0.65 0.85 1.02 1.07 1.00 0.84 0.72 0.72 0.87 1.12 1.34 1.40 1.28 1.05 0.83 0.71 0.72 0.77 0.76 0.63 0.39 32.5 + 35.0 0.58 0.34 0.24 0.34 0.60 0.92 1.18 1.31 1.34 1.39 1.57 1.92 2.41 2.96 3.45 3.84 4.15 4.46 4.81 5.19 5.51 5.62 5.44 4.95 4.27 3.56 2.97 2.55 2.27 2.02 1.74 1.42 1.13 0.92 0.85 0.87 0.92 0.92 0.83 0.68 0.51 0.38 0.31 0.28 0.29 0.29 0.28 0.25 0.22 0.21 0.25 0.37 0.54 0.74 0.88 0.90 0.81 0.65 0.55 0.58 0.76 1.03 1.23 1.29 1.17 0.96 0.78 0.73 0.80 0.91 0.94 0.81 0.58 0.34 0.24 0.34 0.60 0.92 1.18 1.31 1.34 1.39 1.57 1.92 2.41 2.96 3.45 3.84 4.15 4.46 4.81 5.19 5.51 5.62 5.44 4.95 4.27 3.56 2.97 2.55 2.27 2.02 1.74 1.42 1.13 0.92 0.85 0.87 0.92 0.92 0.83 0.68 0.51 0.38 0.31 0.28 0.29 0.29 0.28 0.25 0.22 0.21 0.25 0.37 0.54 0.74 0.88 0.90 0.81 0.65 0.55 0.58 0.76 1.03 1.23 1.29 1.17 0.96 0.78 0.73 0.80 0.91 0.94 0.81 0.58 35.0 + 37.5 0.72 0.52 0.46 0.59 0.89 1.22 1.47 1.58 1.58 1.60 1.73 2.05 2.51 3.02 3.49 3.87 4.20 4.56 4.97 5.41 5.74 5.82 5.57 5.01 4.28 3.56 3.00 2.62 2.37 2.14 1.86 1.54 1.26 1.09 1.06 1.11 1.15 1.11 0.97 0.76 0.54 0.37 0.28 0.24 0.23 0.21 0.18 0.13 0.09 0.08 0.14 0.27 0.45 0.64 0.75 0.74 0.63 0.48 0.40 0.47 0.68 0.96 1.17 1.22 1.09 0.89 0.74 0.73 0.84 0.98 1.03 0.93 0.72 0.52 0.46 0.59 0.89 1.22 1.47 1.58 1.58 1.60 1.73 2.05 2.51 3.02 3.49 3.87 4.20 4.56 4.97 5.41 5.74 5.82 5.57 5.01 4.28 3.56 3.00 2.62 2.37 2.14 1.86 1.54 1.26 1.09 1.06 1.11 1.15 1.11 0.97 0.76 0.54 0.37 0.28 0.24 0.23 0.21 0.18 0.13 0.09 0.08 0.14 0.27 0.45 0.64 0.75 0.74 0.63 0.48 0.40 0.47 0.68 0.96 1.17 1.22 1.09 0.89 0.74 0.73 0.84 0.98 1.03 0.93 0.72 37.5 + 40.0 0.83 0.68 0.68 0.87 1.20 1.54 1.76 1.83 1.78 1.74 1.81 2.05 2.43 2.85 3.22 3.53 3.81 4.13 4.53 4.96 5.26 5.31 5.03 4.45 3.74 3.09 2.62 2.34 2.18 2.01 1.78 1.51 1.27 1.15 1.16 1.24 1.31 1.28 1.14 0.93 0.72 0.55 0.46 0.42 0.40 0.36 0.29 0.20 0.13 0.09 0.13 0.26 0.44 0.61 0.69 0.66 0.53 0.38 0.34 0.45 0.71 1.02 1.24 1.27 1.14 0.93 0.78 0.77 0.88 1.02 1.08 1.00 0.83 0.68 0.68 0.87 1.20 1.54 1.76 1.83 1.78 1.74 1.81 2.05 2.43 2.85 3.22 3.53 3.81 4.13 4.53 4.96 5.26 5.31 5.03 4.45 3.74 3.09 2.62 2.34 2.18 2.01 1.78 1.51 1.27 1.15 1.16 1.24 1.31 1.28 1.14 0.93 0.72 0.55 0.46 0.42 0.40 0.36 0.29 0.20 0.13 0.09 0.13 0.26 0.44 0.61 0.69 0.66 0.53 0.38 0.34 0.45 0.71 1.02 1.24 1.27 1.14 0.93 0.78 0.77 0.88 1.02 1.08 1.00 0.83 40.0 + 42.5 0.95 0.85 0.91 1.13 1.47 1.78 1.95 1.95 1.83 1.72 1.72 1.87 2.14 2.44 2.69 2.87 3.04 3.28 3.62 3.98 4.24 4.26 3.97 3.44 2.82 2.29 1.95 1.80 1.75 1.68 1.53 1.31 1.12 1.04 1.08 1.19 1.30 1.32 1.24 1.08 0.92 0.79 0.72 0.70 0.68 0.64 0.55 0.43 0.32 0.24 0.25 0.36 0.52 0.67 0.74 0.69 0.54 0.41 0.40 0.57 0.88 1.22 1.45 1.48 1.33 1.10 0.93 0.90 0.99 1.11 1.15 1.08 0.95 0.85 0.91 1.13 1.47 1.78 1.95 1.95 1.83 1.72 1.72 1.87 2.14 2.44 2.69 2.87 3.04 3.28 3.62 3.98 4.24 4.26 3.97 3.44 2.82 2.29 1.95 1.80 1.75 1.68 1.53 1.31 1.12 1.04 1.08 1.19 1.30 1.32 1.24 1.08 0.92 0.79 0.72 0.70 0.68 0.64 0.55 0.43 0.32 0.24 0.25 0.36 0.52 0.67 0.74 0.69 0.54 0.41 0.40 0.57 0.88 1.22 1.45 1.48 1.33 1.10 0.93 0.90 0.99 1.11 1.15 1.08 0.95 42.5 + 45.0 1.10 1.04 1.11 1.34 1.63 1.88 1.97 1.88 1.69 1.51 1.44 1.52 1.70 1.88 2.00 2.05 2.10 2.24 2.48 2.78 2.99 3.00 2.75 2.30 1.80 1.40 1.20 1.18 1.24 1.26 1.18 1.02 0.87 0.80 0.84 0.96 1.09 1.17 1.16 1.09 1.00 0.93 0.90 0.90 0.91 0.90 0.83 0.71 0.58 0.47 0.45 0.53 0.67 0.81 0.87 0.81 0.67 0.57 0.60 0.83 1.19 1.57 1.82 1.84 1.68 1.44 1.24 1.18 1.22 1.29 1.30 1.23 1.10 1.04 1.11 1.34 1.63 1.88 1.97 1.88 1.69 1.51 1.44 1.52 1.70 1.88 2.00 2.05 2.10 2.24 2.48 2.78 2.99 3.00 2.75 2.30 1.80 1.40 1.20 1.18 1.24 1.26 1.18 1.02 0.87 0.80 0.84 0.96 1.09 1.17 1.16 1.09 1.00 0.93 0.90 0.90 0.91 0.90 0.83 0.71 0.58 0.47 0.45 0.53 0.67 0.81 0.87 0.81 0.67 0.57 0.60 0.83 1.19 1.57 1.82 1.84 1.68 1.44 1.24 1.18 1.22 1.29 1.30 1.23 1.10 45.0 + 47.5 1.29 1.21 1.26 1.43 1.65 1.79 1.78 1.61 1.36 1.14 1.04 1.08 1.20 1.29 1.31 1.26 1.21 1.26 1.43 1.67 1.85 1.87 1.68 1.33 0.94 0.68 0.59 0.67 0.80 0.89 0.86 0.75 0.61 0.53 0.54 0.63 0.76 0.87 0.93 0.93 0.90 0.87 0.88 0.92 0.98 1.03 1.02 0.94 0.81 0.70 0.65 0.70 0.83 0.97 1.03 0.99 0.89 0.83 0.92 1.21 1.63 2.04 2.29 2.32 2.16 1.90 1.69 1.59 1.58 1.59 1.55 1.43 1.29 1.21 1.26 1.43 1.65 1.79 1.78 1.61 1.36 1.14 1.04 1.08 1.20 1.29 1.31 1.26 1.21 1.26 1.43 1.67 1.85 1.87 1.68 1.33 0.94 0.68 0.59 0.67 0.80 0.89 0.86 0.75 0.61 0.53 0.54 0.63 0.76 0.87 0.93 0.93 0.90 0.87 0.88 0.92 0.98 1.03 1.02 0.94 0.81 0.70 0.65 0.70 0.83 0.97 1.03 0.99 0.89 0.83 0.92 1.21 1.63 2.04 2.29 2.32 2.16 1.90 1.69 1.59 1.58 1.59 1.55 1.43 1.29 47.5 + 50.0 1.43 1.30 1.29 1.38 1.50 1.53 1.43 1.19 0.92 0.70 0.62 0.66 0.75 0.80 0.76 0.64 0.53 0.53 0.65 0.86 1.04 1.08 0.95 0.69 0.42 0.25 0.24 0.37 0.54 0.66 0.67 0.58 0.45 0.33 0.29 0.33 0.43 0.54 0.62 0.66 0.66 0.65 0.68 0.76 0.88 1.00 1.07 1.06 0.97 0.85 0.80 0.84 0.96 1.11 1.20 1.21 1.18 1.20 1.37 1.72 2.18 2.60 2.85 2.88 2.70 2.45 2.22 2.08 2.01 1.94 1.82 1.63 1.43 1.30 1.29 1.38 1.50 1.53 1.43 1.19 0.92 0.70 0.62 0.66 0.75 0.80 0.76 0.64 0.53 0.53 0.65 0.86 1.04 1.08 0.95 0.69 0.42 0.25 0.24 0.37 0.54 0.66 0.67 0.58 0.45 0.33 0.29 0.33 0.43 0.54 0.62 0.66 0.66 0.65 0.68 0.76 0.88 1.00 1.07 1.06 0.97 0.85 0.80 0.84 0.96 1.11 1.20 1.21 1.18 1.20 1.37 1.72 2.18 2.60 2.85 2.88 2.70 2.45 2.22 2.08 2.01 1.94 1.82 1.63 1.43 50.0 + 52.5 1.45 1.25 1.17 1.17 1.19 1.14 0.98 0.72 0.47 0.30 0.27 0.34 0.44 0.47 0.39 0.24 0.12 0.09 0.21 0.40 0.58 0.65 0.57 0.39 0.21 0.11 0.15 0.29 0.46 0.59 0.61 0.53 0.40 0.27 0.18 0.16 0.21 0.28 0.35 0.39 0.40 0.39 0.43 0.53 0.69 0.88 1.03 1.08 1.03 0.94 0.88 0.92 1.06 1.24 1.39 1.48 1.55 1.68 1.93 2.34 2.81 3.22 3.44 3.44 3.25 2.98 2.73 2.54 2.40 2.24 2.01 1.73 1.45 1.25 1.17 1.17 1.19 1.14 0.98 0.72 0.47 0.30 0.27 0.34 0.44 0.47 0.39 0.24 0.12 0.09 0.21 0.40 0.58 0.65 0.57 0.39 0.21 0.11 0.15 0.29 0.46 0.59 0.61 0.53 0.40 0.27 0.18 0.16 0.21 0.28 0.35 0.39 0.40 0.39 0.43 0.53 0.69 0.88 1.03 1.08 1.03 0.94 0.88 0.92 1.06 1.24 1.39 1.48 1.55 1.68 1.93 2.34 2.81 3.22 3.44 3.44 3.25 2.98 2.73 2.54 2.40 2.24 2.01 1.73 1.45 52.5 + 55.0 1.31 1.04 0.89 0.83 0.79 0.70 0.52 0.29 0.09 0.00 0.03 0.14 0.25 0.27 0.18 0.04 0.00 0.00 0.03 0.22 0.39 0.47 0.42 0.29 0.17 0.13 0.19 0.33 0.48 0.59 0.61 0.54 0.43 0.30 0.19 0.14 0.14 0.18 0.22 0.24 0.23 0.22 0.25 0.36 0.55 0.78 0.98 1.07 1.06 1.00 0.96 1.01 1.17 1.40 1.63 1.83 2.01 2.25 2.58 3.01 3.46 3.81 3.97 3.92 3.70 3.40 3.11 2.86 2.63 2.36 2.03 1.66 1.31 1.04 0.89 0.83 0.79 0.70 0.52 0.29 0.09 0.00 0.03 0.14 0.25 0.27 0.18 0.04 0.00 0.00 0.03 0.22 0.39 0.47 0.42 0.29 0.17 0.13 0.19 0.33 0.48 0.59 0.61 0.54 0.43 0.30 0.19 0.14 0.14 0.18 0.22 0.24 0.23 0.22 0.25 0.36 0.55 0.78 0.98 1.07 1.06 1.00 0.96 1.01 1.17 1.40 1.63 1.83 2.01 2.25 2.58 3.01 3.46 3.81 3.97 3.92 3.70 3.40 3.11 2.86 2.63 2.36 2.03 1.66 1.31 55.0 + 57.5 1.00 0.70 0.51 0.43 0.37 0.27 0.12 0.00 0.00 0.00 0.00 0.03 0.14 0.16 0.06 0.00 0.00 0.00 0.00 0.17 0.32 0.37 0.32 0.22 0.14 0.14 0.23 0.36 0.48 0.55 0.56 0.52 0.44 0.35 0.27 0.22 0.20 0.22 0.24 0.25 0.23 0.22 0.25 0.36 0.55 0.78 0.99 1.10 1.12 1.09 1.08 1.17 1.37 1.65 1.95 2.25 2.54 2.86 3.23 3.64 4.01 4.27 4.34 4.21 3.94 3.60 3.27 2.96 2.64 2.28 1.86 1.41 1.00 0.70 0.51 0.43 0.37 0.27 0.12 0.00 0.00 0.00 0.00 0.03 0.14 0.16 0.06 0.00 0.00 0.00 0.00 0.17 0.32 0.37 0.32 0.22 0.14 0.14 0.23 0.36 0.48 0.55 0.56 0.52 0.44 0.35 0.27 0.22 0.20 0.22 0.24 0.25 0.23 0.22 0.25 0.36 0.55 0.78 0.99 1.10 1.12 1.09 1.08 1.17 1.37 1.65 1.95 2.25 2.54 2.86 3.23 3.64 4.01 4.27 4.34 4.21 3.94 3.60 3.27 2.96 2.64 2.28 1.86 1.41 1.00 57.5 + 60.0 0.64 0.33 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.26 0.18 0.08 0.03 0.07 0.17 0.29 0.38 0.42 0.42 0.40 0.37 0.34 0.32 0.32 0.32 0.34 0.36 0.37 0.38 0.38 0.42 0.52 0.69 0.89 1.08 1.19 1.24 1.25 1.29 1.43 1.67 2.00 2.36 2.73 3.07 3.42 3.77 4.10 4.35 4.47 4.43 4.22 3.91 3.54 3.18 2.82 2.45 2.02 1.55 1.07 0.64 0.33 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.26 0.18 0.08 0.03 0.07 0.17 0.29 0.38 0.42 0.42 0.40 0.37 0.34 0.32 0.32 0.32 0.34 0.36 0.37 0.38 0.38 0.42 0.52 0.69 0.89 1.08 1.19 1.24 1.25 1.29 1.43 1.67 2.00 2.36 2.73 3.07 3.42 3.77 4.10 4.35 4.47 4.43 4.22 3.91 3.54 3.18 2.82 2.45 2.02 1.55 1.07 0.64 60.0 + 62.5 0.36 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.10 0.00 0.00 0.00 0.00 0.01 0.13 0.20 0.22 0.21 0.21 0.23 0.28 0.32 0.37 0.41 0.46 0.51 0.56 0.60 0.63 0.69 0.78 0.91 1.07 1.22 1.33 1.40 1.47 1.58 1.77 2.06 2.42 2.80 3.17 3.52 3.82 4.08 4.28 4.38 4.36 4.21 3.94 3.60 3.24 2.88 2.52 2.14 1.71 1.24 0.77 0.36 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.16 0.10 0.00 0.00 0.00 0.00 0.01 0.13 0.20 0.22 0.21 0.21 0.23 0.28 0.32 0.37 0.41 0.46 0.51 0.56 0.60 0.63 0.69 0.78 0.91 1.07 1.22 1.33 1.40 1.47 1.58 1.77 2.06 2.42 2.80 3.17 3.52 3.82 4.08 4.28 4.38 4.36 4.21 3.94 3.60 3.24 2.88 2.52 2.14 1.71 1.24 0.77 0.36 62.5 + 65.0 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.02 0.02 0.03 0.09 0.18 0.27 0.36 0.44 0.53 0.63 0.73 0.83 0.91 0.98 1.05 1.15 1.26 1.37 1.48 1.59 1.72 1.90 2.15 2.47 2.82 3.18 3.50 3.77 3.98 4.11 4.15 4.10 3.94 3.71 3.42 3.10 2.78 2.48 2.17 1.84 1.47 1.06 0.64 0.28 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.02 0.02 0.03 0.09 0.18 0.27 0.36 0.44 0.53 0.63 0.73 0.83 0.91 0.98 1.05 1.15 1.26 1.37 1.48 1.59 1.72 1.90 2.15 2.47 2.82 3.18 3.50 3.77 3.98 4.11 4.15 4.10 3.94 3.71 3.42 3.10 2.78 2.48 2.17 1.84 1.47 1.06 0.64 0.28 65.0 + 67.5 0.43 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.21 0.31 0.42 0.54 0.70 0.87 1.02 1.15 1.24 1.30 1.36 1.42 1.51 1.62 1.77 1.95 2.19 2.48 2.80 3.12 3.41 3.64 3.80 3.87 3.86 3.75 3.57 3.33 3.06 2.78 2.52 2.29 2.08 1.88 1.65 1.39 1.08 0.75 0.43 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.12 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.10 0.21 0.31 0.42 0.54 0.70 0.87 1.02 1.15 1.24 1.30 1.36 1.42 1.51 1.62 1.77 1.95 2.19 2.48 2.80 3.12 3.41 3.64 3.80 3.87 3.86 3.75 3.57 3.33 3.06 2.78 2.52 2.29 2.08 1.88 1.65 1.39 1.08 0.75 0.43 67.5 + 70.0 0.76 0.50 0.29 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.15 0.24 0.36 0.53 0.74 0.98 1.20 1.37 1.47 1.53 1.55 1.59 1.65 1.76 1.92 2.14 2.41 2.70 2.99 3.24 3.43 3.55 3.59 3.54 3.41 3.20 2.94 2.66 2.40 2.16 1.98 1.85 1.76 1.69 1.60 1.47 1.28 1.04 0.76 0.50 0.29 0.14 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.25 0.22 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.15 0.24 0.36 0.53 0.74 0.98 1.20 1.37 1.47 1.53 1.55 1.59 1.65 1.76 1.92 2.14 2.41 2.70 2.99 3.24 3.43 3.55 3.59 3.54 3.41 3.20 2.94 2.66 2.40 2.16 1.98 1.85 1.76 1.69 1.60 1.47 1.28 1.04 0.76 70.0 + 72.5 1.16 0.90 0.67 0.49 0.36 0.28 0.21 0.16 0.13 0.12 0.13 0.13 0.09 0.00 0.00 0.00 0.00 0.15 0.34 0.45 0.45 0.32 0.14 0.00 0.00 0.00 0.01 0.06 0.08 0.06 0.03 0.03 0.04 0.07 0.12 0.20 0.33 0.53 0.80 1.10 1.37 1.58 1.71 1.76 1.77 1.77 1.81 1.89 2.05 2.26 2.52 2.78 3.00 3.16 3.25 3.25 3.19 3.05 2.86 2.62 2.35 2.08 1.85 1.67 1.56 1.53 1.55 1.61 1.65 1.65 1.57 1.40 1.16 0.90 0.67 0.49 0.36 0.28 0.21 0.16 0.13 0.12 0.13 0.13 0.09 0.00 0.00 0.00 0.00 0.15 0.34 0.45 0.45 0.32 0.14 0.00 0.00 0.00 0.01 0.06 0.08 0.06 0.03 0.03 0.04 0.07 0.12 0.20 0.33 0.53 0.80 1.10 1.37 1.58 1.71 1.76 1.77 1.77 1.81 1.89 2.05 2.26 2.52 2.78 3.00 3.16 3.25 3.25 3.19 3.05 2.86 2.62 2.35 2.08 1.85 1.67 1.56 1.53 1.55 1.61 1.65 1.65 1.57 1.40 1.16 72.5 + 75.0 1.49 1.24 1.00 0.81 0.66 0.56 0.47 0.40 0.36 0.36 0.38 0.39 0.35 0.26 0.16 0.11 0.17 0.32 0.52 0.66 0.69 0.59 0.43 0.27 0.18 0.15 0.17 0.18 0.17 0.13 0.08 0.05 0.05 0.07 0.12 0.22 0.38 0.63 0.93 1.27 1.57 1.81 1.95 2.02 2.02 1.99 1.98 2.01 2.12 2.29 2.49 2.69 2.83 2.89 2.87 2.78 2.64 2.48 2.30 2.10 1.87 1.65 1.45 1.31 1.26 1.29 1.40 1.56 1.71 1.81 1.81 1.70 1.49 1.24 1.00 0.81 0.66 0.56 0.47 0.40 0.36 0.36 0.38 0.39 0.35 0.26 0.16 0.11 0.17 0.32 0.52 0.66 0.69 0.59 0.43 0.27 0.18 0.15 0.17 0.18 0.17 0.13 0.08 0.05 0.05 0.07 0.12 0.22 0.38 0.63 0.93 1.27 1.57 1.81 1.95 2.02 2.02 1.99 1.98 2.01 2.12 2.29 2.49 2.69 2.83 2.89 2.87 2.78 2.64 2.48 2.30 2.10 1.87 1.65 1.45 1.31 1.26 1.29 1.40 1.56 1.71 1.81 1.81 1.70 1.49 75.0 + 77.5 1.65 1.43 1.21 1.03 0.88 0.76 0.64 0.55 0.50 0.51 0.57 0.61 0.59 0.49 0.36 0.26 0.28 0.41 0.60 0.77 0.84 0.77 0.61 0.44 0.32 0.25 0.23 0.20 0.16 0.09 0.02 0.00 0.00 0.06 0.17 0.34 0.56 0.84 1.15 1.48 1.77 2.00 2.16 2.23 2.23 2.17 2.09 2.05 2.07 2.17 2.31 2.44 2.50 2.46 2.33 2.17 2.01 1.88 1.77 1.65 1.51 1.34 1.18 1.05 1.01 1.08 1.24 1.47 1.70 1.86 1.91 1.83 1.65 1.43 1.21 1.03 0.88 0.76 0.64 0.55 0.50 0.51 0.57 0.61 0.59 0.49 0.36 0.26 0.28 0.41 0.60 0.77 0.84 0.77 0.61 0.44 0.32 0.25 0.23 0.20 0.16 0.09 0.02 0.00 0.00 0.06 0.17 0.34 0.56 0.84 1.15 1.48 1.77 2.00 2.16 2.23 2.23 2.17 2.09 2.05 2.07 2.17 2.31 2.44 2.50 2.46 2.33 2.17 2.01 1.88 1.77 1.65 1.51 1.34 1.18 1.05 1.01 1.08 1.24 1.47 1.70 1.86 1.91 1.83 1.65 77.5 + 80.0 1.62 1.44 1.27 1.12 0.98 0.83 0.68 0.55 0.50 0.53 0.63 0.72 0.72 0.62 0.44 0.28 0.24 0.34 0.54 0.73 0.83 0.78 0.62 0.43 0.28 0.19 0.15 0.10 0.04 0.00 0.00 0.00 0.00 0.08 0.31 0.59 0.88 1.17 1.44 1.68 1.91 2.09 2.24 2.31 2.30 2.21 2.07 1.93 1.86 1.88 1.96 2.03 2.02 1.90 1.70 1.49 1.33 1.26 1.26 1.27 1.23 1.12 0.96 0.82 0.76 0.84 1.03 1.30 1.57 1.76 1.83 1.77 1.62 1.44 1.27 1.12 0.98 0.83 0.68 0.55 0.50 0.53 0.63 0.72 0.72 0.62 0.44 0.28 0.24 0.34 0.54 0.73 0.83 0.78 0.62 0.43 0.28 0.19 0.15 0.10 0.04 0.00 0.00 0.00 0.00 0.08 0.31 0.59 0.88 1.17 1.44 1.68 1.91 2.09 2.24 2.31 2.30 2.21 2.07 1.93 1.86 1.88 1.96 2.03 2.02 1.90 1.70 1.49 1.33 1.26 1.26 1.27 1.23 1.12 0.96 0.82 0.76 0.84 1.03 1.30 1.57 1.76 1.83 1.77 1.62 80.0 + 82.5 1.45 1.32 1.21 1.10 0.96 0.79 0.59 0.42 0.35 0.41 0.56 0.70 0.73 0.61 0.37 0.15 0.05 0.12 0.32 0.54 0.66 0.63 0.46 0.26 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.57 0.96 1.30 1.55 1.71 1.82 1.90 2.00 2.10 2.17 2.15 2.02 1.82 1.61 1.46 1.43 1.47 1.51 1.47 1.29 1.04 0.80 0.66 0.68 0.80 0.93 0.98 0.91 0.74 0.56 0.48 0.55 0.77 1.06 1.35 1.54 1.61 1.56 1.45 1.32 1.21 1.10 0.96 0.79 0.59 0.42 0.35 0.41 0.56 0.70 0.73 0.61 0.37 0.15 0.05 0.12 0.32 0.54 0.66 0.63 0.46 0.26 0.09 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.57 0.96 1.30 1.55 1.71 1.82 1.90 2.00 2.10 2.17 2.15 2.02 1.82 1.61 1.46 1.43 1.47 1.51 1.47 1.29 1.04 0.80 0.66 0.68 0.80 0.93 0.98 0.91 0.74 0.56 0.48 0.55 0.77 1.06 1.35 1.54 1.61 1.56 1.45 82.5 + 85.0 1.22 1.14 1.09 1.02 0.88 0.68 0.43 0.22 0.14 0.22 0.41 0.59 0.64 0.50 0.22 0.00 0.00 0.00 0.05 0.29 0.43 0.40 0.24 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.45 0.93 1.40 1.73 1.89 1.89 1.80 1.70 1.67 1.71 1.76 1.74 1.60 1.36 1.11 0.93 0.88 0.93 0.98 0.92 0.72 0.44 0.18 0.08 0.17 0.40 0.64 0.76 0.70 0.51 0.30 0.20 0.27 0.50 0.81 1.10 1.28 1.34 1.30 1.22 1.14 1.09 1.02 0.88 0.68 0.43 0.22 0.14 0.22 0.41 0.59 0.64 0.50 0.22 0.00 0.00 0.00 0.05 0.29 0.43 0.40 0.24 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.45 0.93 1.40 1.73 1.89 1.89 1.80 1.70 1.67 1.71 1.76 1.74 1.60 1.36 1.11 0.93 0.88 0.93 0.98 0.92 0.72 0.44 0.18 0.08 0.17 0.40 0.64 0.76 0.70 0.51 0.30 0.20 0.27 0.50 0.81 1.10 1.28 1.34 1.30 1.22 85.0 + 87.5 1.03 1.01 1.00 0.95 0.81 0.57 0.27 0.03 0.00 0.05 0.28 0.49 0.54 0.38 0.06 0.00 0.00 0.00 0.00 0.10 0.26 0.25 0.10 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.11 0.37 0.82 1.34 1.80 2.07 2.08 1.89 1.59 1.32 1.17 1.14 1.17 1.15 1.02 0.80 0.55 0.39 0.37 0.45 0.53 0.49 0.29 0.00 0.00 0.00 0.00 0.13 0.43 0.59 0.54 0.33 0.09 0.00 0.05 0.29 0.62 0.90 1.07 1.11 1.08 1.03 1.01 1.00 0.95 0.81 0.57 0.27 0.03 0.00 0.05 0.28 0.49 0.54 0.38 0.06 0.00 0.00 0.00 0.00 0.10 0.26 0.25 0.10 0.00 0.00 0.00 0.00 0.06 0.09 0.05 0.02 0.11 0.37 0.82 1.34 1.80 2.07 2.08 1.89 1.59 1.32 1.17 1.14 1.17 1.15 1.02 0.80 0.55 0.39 0.37 0.45 0.53 0.49 0.29 0.00 0.00 0.00 0.00 0.13 0.43 0.59 0.54 0.33 0.09 0.00 0.05 0.29 0.62 0.90 1.07 1.11 1.08 1.03 87.5 + 90.0 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 90.0 + + 72.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.99 ) PHI2 = 73. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 0.0 + 2.5 0.86 1.07 1.30 1.54 1.80 2.04 2.23 2.30 2.25 2.09 1.85 1.60 1.36 1.13 0.91 0.71 0.53 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.12 1.34 1.58 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.07 1.30 1.54 1.80 2.04 2.23 2.30 2.25 2.09 1.85 1.60 1.36 1.13 0.91 0.71 0.53 0.42 0.37 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.12 1.34 1.58 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 2.5 + 5.0 0.72 0.94 1.19 1.47 1.79 2.09 2.34 2.46 2.43 2.26 2.00 1.71 1.44 1.18 0.95 0.73 0.54 0.41 0.35 0.34 0.33 0.28 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.48 0.49 0.54 0.67 0.86 1.09 1.34 1.59 1.84 2.05 2.17 2.19 2.09 1.90 1.66 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.48 0.39 0.21 0.00 0.00 0.00 0.00 0.04 0.21 0.31 0.33 0.29 0.25 0.27 0.36 0.52 0.72 0.94 1.19 1.47 1.79 2.09 2.34 2.46 2.43 2.26 2.00 1.71 1.44 1.18 0.95 0.73 0.54 0.41 0.35 0.34 0.33 0.28 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.49 0.48 0.49 0.54 0.67 0.86 1.09 1.34 1.59 1.84 2.05 2.17 2.19 2.09 1.90 1.66 1.39 1.13 0.89 0.68 0.51 0.41 0.39 0.43 0.48 0.48 0.39 0.21 0.00 0.00 0.00 0.00 0.04 0.21 0.31 0.33 0.29 0.25 0.27 0.36 0.52 0.72 5.0 + 7.5 0.52 0.74 1.01 1.33 1.71 2.09 2.42 2.60 2.60 2.44 2.16 1.85 1.54 1.27 1.04 0.82 0.63 0.48 0.40 0.39 0.41 0.40 0.33 0.18 0.01 0.00 0.00 0.01 0.21 0.41 0.54 0.58 0.55 0.50 0.50 0.58 0.75 0.99 1.27 1.55 1.80 1.99 2.08 2.06 1.94 1.73 1.48 1.20 0.92 0.67 0.46 0.32 0.28 0.33 0.44 0.54 0.56 0.47 0.30 0.12 0.00 0.00 0.09 0.22 0.33 0.35 0.29 0.19 0.12 0.12 0.20 0.34 0.52 0.74 1.01 1.33 1.71 2.09 2.42 2.60 2.60 2.44 2.16 1.85 1.54 1.27 1.04 0.82 0.63 0.48 0.40 0.39 0.41 0.40 0.33 0.18 0.01 0.00 0.00 0.01 0.21 0.41 0.54 0.58 0.55 0.50 0.50 0.58 0.75 0.99 1.27 1.55 1.80 1.99 2.08 2.06 1.94 1.73 1.48 1.20 0.92 0.67 0.46 0.32 0.28 0.33 0.44 0.54 0.56 0.47 0.30 0.12 0.00 0.00 0.09 0.22 0.33 0.35 0.29 0.19 0.12 0.12 0.20 0.34 0.52 7.5 + 10.0 0.31 0.50 0.76 1.10 1.52 1.97 2.37 2.62 2.67 2.53 2.26 1.95 1.65 1.41 1.20 1.02 0.84 0.68 0.59 0.56 0.59 0.62 0.59 0.47 0.30 0.14 0.06 0.12 0.28 0.47 0.61 0.64 0.59 0.48 0.41 0.44 0.58 0.82 1.12 1.42 1.66 1.82 1.87 1.81 1.68 1.48 1.24 0.98 0.70 0.43 0.23 0.12 0.14 0.26 0.41 0.52 0.53 0.42 0.25 0.09 0.03 0.07 0.19 0.31 0.36 0.31 0.20 0.07 0.00 0.00 0.04 0.16 0.31 0.50 0.76 1.10 1.52 1.97 2.37 2.62 2.67 2.53 2.26 1.95 1.65 1.41 1.20 1.02 0.84 0.68 0.59 0.56 0.59 0.62 0.59 0.47 0.30 0.14 0.06 0.12 0.28 0.47 0.61 0.64 0.59 0.48 0.41 0.44 0.58 0.82 1.12 1.42 1.66 1.82 1.87 1.81 1.68 1.48 1.24 0.98 0.70 0.43 0.23 0.12 0.14 0.26 0.41 0.52 0.53 0.42 0.25 0.09 0.03 0.07 0.19 0.31 0.36 0.31 0.20 0.07 0.00 0.00 0.04 0.16 0.31 10.0 + 12.5 0.11 0.25 0.47 0.80 1.24 1.73 2.18 2.48 2.59 2.49 2.26 1.99 1.75 1.57 1.43 1.29 1.13 0.97 0.85 0.81 0.84 0.88 0.88 0.77 0.57 0.35 0.20 0.19 0.31 0.50 0.65 0.69 0.60 0.45 0.31 0.28 0.39 0.63 0.94 1.24 1.46 1.58 1.59 1.51 1.38 1.21 1.01 0.77 0.51 0.25 0.06 0.00 0.04 0.19 0.36 0.45 0.42 0.26 0.06 0.00 0.00 0.01 0.16 0.28 0.30 0.22 0.07 0.00 0.00 0.00 0.00 0.01 0.11 0.25 0.47 0.80 1.24 1.73 2.18 2.48 2.59 2.49 2.26 1.99 1.75 1.57 1.43 1.29 1.13 0.97 0.85 0.81 0.84 0.88 0.88 0.77 0.57 0.35 0.20 0.19 0.31 0.50 0.65 0.69 0.60 0.45 0.31 0.28 0.39 0.63 0.94 1.24 1.46 1.58 1.59 1.51 1.38 1.21 1.01 0.77 0.51 0.25 0.06 0.00 0.04 0.19 0.36 0.45 0.42 0.26 0.06 0.00 0.00 0.01 0.16 0.28 0.30 0.22 0.07 0.00 0.00 0.00 0.00 0.01 0.11 12.5 + 15.0 0.00 0.02 0.19 0.50 0.93 1.43 1.90 2.23 2.38 2.33 2.17 1.97 1.81 1.72 1.65 1.57 1.43 1.25 1.10 1.03 1.04 1.09 1.09 0.98 0.76 0.49 0.29 0.23 0.34 0.53 0.69 0.73 0.62 0.43 0.25 0.18 0.27 0.51 0.82 1.11 1.31 1.38 1.35 1.26 1.14 1.01 0.86 0.66 0.42 0.17 0.00 0.00 0.01 0.18 0.34 0.39 0.29 0.07 0.00 0.00 0.00 0.00 0.10 0.22 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.50 0.93 1.43 1.90 2.23 2.38 2.33 2.17 1.97 1.81 1.72 1.65 1.57 1.43 1.25 1.10 1.03 1.04 1.09 1.09 0.98 0.76 0.49 0.29 0.23 0.34 0.53 0.69 0.73 0.62 0.43 0.25 0.18 0.27 0.51 0.82 1.11 1.31 1.38 1.35 1.26 1.14 1.01 0.86 0.66 0.42 0.17 0.00 0.00 0.01 0.18 0.34 0.39 0.29 0.07 0.00 0.00 0.00 0.00 0.10 0.22 0.22 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 15.0 + 17.5 0.00 0.00 0.00 0.26 0.67 1.16 1.62 1.95 2.12 2.12 2.02 1.91 1.85 1.84 1.83 1.77 1.63 1.43 1.24 1.14 1.14 1.19 1.19 1.08 0.84 0.55 0.33 0.27 0.37 0.57 0.74 0.78 0.67 0.46 0.26 0.19 0.28 0.53 0.84 1.11 1.28 1.32 1.27 1.16 1.06 0.96 0.84 0.67 0.45 0.21 0.04 0.00 0.10 0.27 0.41 0.41 0.25 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.67 1.16 1.62 1.95 2.12 2.12 2.02 1.91 1.85 1.84 1.83 1.77 1.63 1.43 1.24 1.14 1.14 1.19 1.19 1.08 0.84 0.55 0.33 0.27 0.37 0.57 0.74 0.78 0.67 0.46 0.26 0.19 0.28 0.53 0.84 1.11 1.28 1.32 1.27 1.16 1.06 0.96 0.84 0.67 0.45 0.21 0.04 0.00 0.10 0.27 0.41 0.41 0.25 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.22 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.00 0.12 0.52 0.98 1.41 1.71 1.87 1.90 1.87 1.85 1.87 1.92 1.95 1.88 1.71 1.48 1.27 1.15 1.15 1.20 1.20 1.09 0.85 0.57 0.36 0.31 0.43 0.64 0.81 0.84 0.72 0.51 0.33 0.29 0.42 0.68 0.99 1.25 1.39 1.41 1.34 1.23 1.14 1.05 0.95 0.79 0.58 0.35 0.20 0.17 0.29 0.47 0.59 0.57 0.37 0.09 0.00 0.00 0.00 0.15 0.36 0.44 0.36 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.52 0.98 1.41 1.71 1.87 1.90 1.87 1.85 1.87 1.92 1.95 1.88 1.71 1.48 1.27 1.15 1.15 1.20 1.20 1.09 0.85 0.57 0.36 0.31 0.43 0.64 0.81 0.84 0.72 0.51 0.33 0.29 0.42 0.68 0.99 1.25 1.39 1.41 1.34 1.23 1.14 1.05 0.95 0.79 0.58 0.35 0.20 0.17 0.29 0.47 0.59 0.57 0.37 0.09 0.00 0.00 0.00 0.15 0.36 0.44 0.36 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.00 0.10 0.49 0.92 1.29 1.55 1.68 1.72 1.74 1.80 1.91 2.01 2.05 1.97 1.77 1.52 1.31 1.20 1.21 1.27 1.27 1.14 0.90 0.62 0.43 0.40 0.53 0.72 0.85 0.86 0.72 0.54 0.40 0.41 0.58 0.86 1.17 1.41 1.53 1.53 1.46 1.37 1.28 1.21 1.11 0.95 0.74 0.52 0.39 0.40 0.54 0.73 0.86 0.82 0.63 0.36 0.17 0.15 0.31 0.56 0.75 0.77 0.63 0.39 0.17 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.49 0.92 1.29 1.55 1.68 1.72 1.74 1.80 1.91 2.01 2.05 1.97 1.77 1.52 1.31 1.20 1.21 1.27 1.27 1.14 0.90 0.62 0.43 0.40 0.53 0.72 0.85 0.86 0.72 0.54 0.40 0.41 0.58 0.86 1.17 1.41 1.53 1.53 1.46 1.37 1.28 1.21 1.11 0.95 0.74 0.52 0.39 0.40 0.54 0.73 0.86 0.82 0.63 0.36 0.17 0.15 0.31 0.56 0.75 0.77 0.63 0.39 0.17 0.04 0.00 0.00 0.00 0.00 0.00 22.5 + 25.0 0.00 0.00 0.00 0.15 0.54 0.93 1.25 1.44 1.53 1.58 1.66 1.81 1.99 2.15 2.21 2.14 1.95 1.72 1.55 1.50 1.54 1.60 1.56 1.39 1.10 0.80 0.61 0.57 0.67 0.81 0.88 0.82 0.67 0.50 0.42 0.48 0.68 0.96 1.24 1.44 1.54 1.54 1.49 1.41 1.35 1.28 1.19 1.03 0.83 0.65 0.55 0.60 0.77 0.98 1.11 1.08 0.90 0.67 0.52 0.56 0.76 1.01 1.17 1.14 0.94 0.65 0.40 0.26 0.21 0.19 0.11 0.00 0.00 0.00 0.00 0.15 0.54 0.93 1.25 1.44 1.53 1.58 1.66 1.81 1.99 2.15 2.21 2.14 1.95 1.72 1.55 1.50 1.54 1.60 1.56 1.39 1.10 0.80 0.61 0.57 0.67 0.81 0.88 0.82 0.67 0.50 0.42 0.48 0.68 0.96 1.24 1.44 1.54 1.54 1.49 1.41 1.35 1.28 1.19 1.03 0.83 0.65 0.55 0.60 0.77 0.98 1.11 1.08 0.90 0.67 0.52 0.56 0.76 1.01 1.17 1.14 0.94 0.65 0.40 0.26 0.21 0.19 0.11 0.00 0.00 25.0 + 27.5 0.00 0.00 0.00 0.26 0.63 0.99 1.24 1.38 1.43 1.50 1.64 1.88 2.16 2.39 2.51 2.48 2.35 2.21 2.15 2.18 2.27 2.30 2.19 1.92 1.53 1.17 0.93 0.85 0.88 0.93 0.90 0.77 0.59 0.43 0.39 0.48 0.68 0.92 1.14 1.28 1.34 1.34 1.30 1.26 1.22 1.18 1.10 0.96 0.80 0.66 0.61 0.70 0.90 1.12 1.26 1.23 1.07 0.87 0.78 0.86 1.10 1.35 1.49 1.42 1.18 0.87 0.63 0.51 0.47 0.44 0.34 0.16 0.00 0.00 0.00 0.26 0.63 0.99 1.24 1.38 1.43 1.50 1.64 1.88 2.16 2.39 2.51 2.48 2.35 2.21 2.15 2.18 2.27 2.30 2.19 1.92 1.53 1.17 0.93 0.85 0.88 0.93 0.90 0.77 0.59 0.43 0.39 0.48 0.68 0.92 1.14 1.28 1.34 1.34 1.30 1.26 1.22 1.18 1.10 0.96 0.80 0.66 0.61 0.70 0.90 1.12 1.26 1.23 1.07 0.87 0.78 0.86 1.10 1.35 1.49 1.42 1.18 0.87 0.63 0.51 0.47 0.44 0.34 0.16 0.00 27.5 + 30.0 0.19 0.07 0.14 0.40 0.75 1.07 1.28 1.36 1.39 1.48 1.68 2.01 2.40 2.73 2.93 3.00 2.99 2.99 3.08 3.23 3.36 3.35 3.12 2.69 2.17 1.70 1.38 1.23 1.18 1.12 0.98 0.77 0.55 0.40 0.38 0.48 0.64 0.80 0.92 0.97 0.97 0.95 0.93 0.91 0.91 0.89 0.83 0.73 0.61 0.53 0.53 0.66 0.88 1.11 1.23 1.20 1.05 0.88 0.83 0.96 1.23 1.49 1.62 1.54 1.30 1.01 0.81 0.74 0.75 0.74 0.62 0.41 0.19 0.07 0.14 0.40 0.75 1.07 1.28 1.36 1.39 1.48 1.68 2.01 2.40 2.73 2.93 3.00 2.99 2.99 3.08 3.23 3.36 3.35 3.12 2.69 2.17 1.70 1.38 1.23 1.18 1.12 0.98 0.77 0.55 0.40 0.38 0.48 0.64 0.80 0.92 0.97 0.97 0.95 0.93 0.91 0.91 0.89 0.83 0.73 0.61 0.53 0.53 0.66 0.88 1.11 1.23 1.20 1.05 0.88 0.83 0.96 1.23 1.49 1.62 1.54 1.30 1.01 0.81 0.74 0.75 0.74 0.62 0.41 0.19 30.0 + 32.5 0.41 0.27 0.33 0.58 0.92 1.22 1.39 1.43 1.44 1.54 1.80 2.20 2.68 3.10 3.40 3.58 3.72 3.89 4.14 4.41 4.57 4.49 4.12 3.53 2.87 2.29 1.90 1.68 1.55 1.39 1.15 0.87 0.63 0.49 0.48 0.57 0.67 0.73 0.72 0.67 0.59 0.53 0.51 0.51 0.52 0.52 0.48 0.41 0.33 0.30 0.36 0.52 0.75 0.96 1.06 1.01 0.86 0.72 0.71 0.88 1.17 1.46 1.59 1.52 1.30 1.06 0.92 0.92 0.99 1.01 0.91 0.67 0.41 0.27 0.33 0.58 0.92 1.22 1.39 1.43 1.44 1.54 1.80 2.20 2.68 3.10 3.40 3.58 3.72 3.89 4.14 4.41 4.57 4.49 4.12 3.53 2.87 2.29 1.90 1.68 1.55 1.39 1.15 0.87 0.63 0.49 0.48 0.57 0.67 0.73 0.72 0.67 0.59 0.53 0.51 0.51 0.52 0.52 0.48 0.41 0.33 0.30 0.36 0.52 0.75 0.96 1.06 1.01 0.86 0.72 0.71 0.88 1.17 1.46 1.59 1.52 1.30 1.06 0.92 0.92 0.99 1.01 0.91 0.67 0.41 32.5 + 35.0 0.64 0.49 0.56 0.82 1.17 1.45 1.59 1.60 1.59 1.68 1.95 2.39 2.91 3.38 3.75 4.03 4.30 4.63 5.02 5.38 5.55 5.40 4.91 4.18 3.41 2.77 2.34 2.09 1.91 1.69 1.39 1.07 0.82 0.71 0.72 0.80 0.84 0.81 0.69 0.53 0.38 0.29 0.25 0.25 0.25 0.24 0.20 0.14 0.08 0.08 0.17 0.35 0.58 0.77 0.84 0.77 0.61 0.49 0.52 0.73 1.06 1.37 1.51 1.46 1.26 1.07 0.99 1.05 1.17 1.23 1.13 0.90 0.64 0.49 0.56 0.82 1.17 1.45 1.59 1.60 1.59 1.68 1.95 2.39 2.91 3.38 3.75 4.03 4.30 4.63 5.02 5.38 5.55 5.40 4.91 4.18 3.41 2.77 2.34 2.09 1.91 1.69 1.39 1.07 0.82 0.71 0.72 0.80 0.84 0.81 0.69 0.53 0.38 0.29 0.25 0.25 0.25 0.24 0.20 0.14 0.08 0.08 0.17 0.35 0.58 0.77 0.84 0.77 0.61 0.49 0.52 0.73 1.06 1.37 1.51 1.46 1.26 1.07 0.99 1.05 1.17 1.23 1.13 0.90 0.64 35.0 + 37.5 0.84 0.73 0.84 1.13 1.49 1.77 1.88 1.85 1.79 1.84 2.09 2.51 3.01 3.48 3.86 4.18 4.52 4.95 5.42 5.83 5.99 5.78 5.20 4.41 3.60 2.96 2.55 2.33 2.15 1.91 1.60 1.29 1.06 0.98 1.02 1.10 1.13 1.04 0.85 0.63 0.44 0.32 0.26 0.25 0.23 0.19 0.12 0.04 0.00 0.00 0.06 0.25 0.47 0.64 0.69 0.60 0.44 0.34 0.40 0.66 1.04 1.37 1.53 1.48 1.29 1.11 1.06 1.15 1.30 1.37 1.29 1.07 0.84 0.73 0.84 1.13 1.49 1.77 1.88 1.85 1.79 1.84 2.09 2.51 3.01 3.48 3.86 4.18 4.52 4.95 5.42 5.83 5.99 5.78 5.20 4.41 3.60 2.96 2.55 2.33 2.15 1.91 1.60 1.29 1.06 0.98 1.02 1.10 1.13 1.04 0.85 0.63 0.44 0.32 0.26 0.25 0.23 0.19 0.12 0.04 0.00 0.00 0.06 0.25 0.47 0.64 0.69 0.60 0.44 0.34 0.40 0.66 1.04 1.37 1.53 1.48 1.29 1.11 1.06 1.15 1.30 1.37 1.29 1.07 0.84 37.5 + 40.0 1.03 0.98 1.14 1.48 1.85 2.11 2.18 2.09 1.97 1.95 2.13 2.48 2.91 3.31 3.64 3.93 4.27 4.71 5.20 5.61 5.74 5.49 4.89 4.10 3.33 2.76 2.44 2.29 2.16 1.96 1.67 1.38 1.20 1.16 1.24 1.36 1.39 1.31 1.13 0.90 0.71 0.59 0.53 0.50 0.47 0.40 0.29 0.17 0.06 0.04 0.11 0.29 0.50 0.66 0.68 0.58 0.43 0.35 0.47 0.78 1.20 1.56 1.73 1.67 1.46 1.27 1.20 1.28 1.41 1.48 1.41 1.22 1.03 0.98 1.14 1.48 1.85 2.11 2.18 2.09 1.97 1.95 2.13 2.48 2.91 3.31 3.64 3.93 4.27 4.71 5.20 5.61 5.74 5.49 4.89 4.10 3.33 2.76 2.44 2.29 2.16 1.96 1.67 1.38 1.20 1.16 1.24 1.36 1.39 1.31 1.13 0.90 0.71 0.59 0.53 0.50 0.47 0.40 0.29 0.17 0.06 0.04 0.11 0.29 0.50 0.66 0.68 0.58 0.43 0.35 0.47 0.78 1.20 1.56 1.73 1.67 1.46 1.27 1.20 1.28 1.41 1.48 1.41 1.22 1.03 40.0 + 42.5 1.23 1.23 1.44 1.80 2.16 2.37 2.38 2.22 2.02 1.93 2.03 2.29 2.61 2.90 3.13 3.33 3.60 3.99 4.43 4.80 4.90 4.64 4.07 3.34 2.68 2.23 2.03 1.97 1.92 1.77 1.53 1.29 1.14 1.14 1.26 1.41 1.49 1.46 1.34 1.17 1.02 0.92 0.88 0.86 0.83 0.76 0.63 0.47 0.33 0.26 0.31 0.47 0.67 0.82 0.84 0.73 0.60 0.57 0.74 1.12 1.59 1.97 2.14 2.05 1.82 1.58 1.46 1.49 1.58 1.62 1.54 1.37 1.23 1.23 1.44 1.80 2.16 2.37 2.38 2.22 2.02 1.93 2.03 2.29 2.61 2.90 3.13 3.33 3.60 3.99 4.43 4.80 4.90 4.64 4.07 3.34 2.68 2.23 2.03 1.97 1.92 1.77 1.53 1.29 1.14 1.14 1.26 1.41 1.49 1.46 1.34 1.17 1.02 0.92 0.88 0.86 0.83 0.76 0.63 0.47 0.33 0.26 0.31 0.47 0.67 0.82 0.84 0.73 0.60 0.57 0.74 1.12 1.59 1.97 2.14 2.05 1.82 1.58 1.46 1.49 1.58 1.62 1.54 1.37 1.23 42.5 + 45.0 1.44 1.46 1.68 2.01 2.32 2.46 2.38 2.14 1.88 1.73 1.76 1.94 2.16 2.34 2.44 2.53 2.69 2.98 3.35 3.65 3.73 3.50 2.99 2.37 1.84 1.53 1.44 1.48 1.50 1.42 1.23 1.02 0.90 0.91 1.04 1.21 1.34 1.39 1.34 1.25 1.17 1.12 1.12 1.14 1.15 1.11 0.99 0.82 0.66 0.56 0.59 0.74 0.93 1.07 1.10 1.01 0.91 0.93 1.18 1.63 2.15 2.56 2.72 2.62 2.34 2.05 1.87 1.83 1.85 1.84 1.73 1.56 1.44 1.46 1.68 2.01 2.32 2.46 2.38 2.14 1.88 1.73 1.76 1.94 2.16 2.34 2.44 2.53 2.69 2.98 3.35 3.65 3.73 3.50 2.99 2.37 1.84 1.53 1.44 1.48 1.50 1.42 1.23 1.02 0.90 0.91 1.04 1.21 1.34 1.39 1.34 1.25 1.17 1.12 1.12 1.14 1.15 1.11 0.99 0.82 0.66 0.56 0.59 0.74 0.93 1.07 1.10 1.01 0.91 0.93 1.18 1.63 2.15 2.56 2.72 2.62 2.34 2.05 1.87 1.83 1.85 1.84 1.73 1.56 1.44 45.0 + 47.5 1.63 1.64 1.81 2.07 2.28 2.33 2.16 1.86 1.55 1.38 1.38 1.51 1.66 1.75 1.74 1.72 1.77 1.96 2.24 2.49 2.56 2.37 1.96 1.46 1.07 0.87 0.88 0.99 1.07 1.03 0.89 0.71 0.58 0.58 0.68 0.84 0.99 1.09 1.12 1.10 1.08 1.08 1.13 1.21 1.28 1.30 1.24 1.10 0.94 0.84 0.85 0.99 1.18 1.34 1.38 1.34 1.30 1.40 1.73 2.25 2.81 3.24 3.40 3.28 2.97 2.64 2.41 2.30 2.24 2.15 1.98 1.78 1.63 1.64 1.81 2.07 2.28 2.33 2.16 1.86 1.55 1.38 1.38 1.51 1.66 1.75 1.74 1.72 1.77 1.96 2.24 2.49 2.56 2.37 1.96 1.46 1.07 0.87 0.88 0.99 1.07 1.03 0.89 0.71 0.58 0.58 0.68 0.84 0.99 1.09 1.12 1.10 1.08 1.08 1.13 1.21 1.28 1.30 1.24 1.10 0.94 0.84 0.85 0.99 1.18 1.34 1.38 1.34 1.30 1.40 1.73 2.25 2.81 3.24 3.40 3.28 2.97 2.64 2.41 2.30 2.24 2.15 1.98 1.78 1.63 47.5 + 50.0 1.75 1.69 1.78 1.94 2.04 1.98 1.74 1.41 1.11 0.95 0.97 1.09 1.21 1.23 1.15 1.05 1.02 1.13 1.35 1.57 1.64 1.50 1.19 0.82 0.54 0.44 0.51 0.66 0.76 0.76 0.64 0.48 0.34 0.29 0.33 0.44 0.58 0.68 0.75 0.77 0.79 0.82 0.91 1.04 1.19 1.30 1.32 1.24 1.11 1.01 1.03 1.16 1.37 1.55 1.65 1.68 1.73 1.93 2.34 2.92 3.51 3.94 4.09 3.95 3.63 3.27 2.99 2.81 2.67 2.49 2.24 1.96 1.75 1.69 1.78 1.94 2.04 1.98 1.74 1.41 1.11 0.95 0.97 1.09 1.21 1.23 1.15 1.05 1.02 1.13 1.35 1.57 1.64 1.50 1.19 0.82 0.54 0.44 0.51 0.66 0.76 0.76 0.64 0.48 0.34 0.29 0.33 0.44 0.58 0.68 0.75 0.77 0.79 0.82 0.91 1.04 1.19 1.30 1.32 1.24 1.11 1.01 1.03 1.16 1.37 1.55 1.65 1.68 1.73 1.93 2.34 2.92 3.51 3.94 4.09 3.95 3.63 3.27 2.99 2.81 2.67 2.49 2.24 1.96 1.75 50.0 + 52.5 1.74 1.59 1.58 1.63 1.63 1.50 1.22 0.90 0.64 0.53 0.59 0.73 0.84 0.84 0.73 0.58 0.52 0.59 0.78 0.98 1.07 0.98 0.76 0.50 0.31 0.28 0.39 0.55 0.66 0.67 0.57 0.41 0.25 0.16 0.14 0.18 0.26 0.34 0.40 0.43 0.45 0.49 0.60 0.77 0.98 1.17 1.26 1.24 1.15 1.08 1.11 1.26 1.48 1.71 1.88 2.00 2.17 2.47 2.96 3.57 4.16 4.57 4.68 4.52 4.19 3.82 3.50 3.26 3.02 2.74 2.39 2.03 1.74 1.59 1.58 1.63 1.63 1.50 1.22 0.90 0.64 0.53 0.59 0.73 0.84 0.84 0.73 0.58 0.52 0.59 0.78 0.98 1.07 0.98 0.76 0.50 0.31 0.28 0.39 0.55 0.66 0.67 0.57 0.41 0.25 0.16 0.14 0.18 0.26 0.34 0.40 0.43 0.45 0.49 0.60 0.77 0.98 1.17 1.26 1.24 1.15 1.08 1.11 1.26 1.48 1.71 1.88 2.00 2.17 2.47 2.96 3.57 4.16 4.57 4.68 4.52 4.19 3.82 3.50 3.26 3.02 2.74 2.39 2.03 1.74 52.5 + 55.0 1.54 1.32 1.23 1.20 1.14 0.96 0.69 0.41 0.21 0.17 0.29 0.46 0.57 0.56 0.44 0.30 0.24 0.31 0.49 0.69 0.78 0.74 0.58 0.40 0.30 0.32 0.44 0.59 0.69 0.69 0.60 0.46 0.31 0.20 0.14 0.13 0.15 0.19 0.22 0.22 0.23 0.27 0.37 0.56 0.80 1.01 1.15 1.17 1.12 1.08 1.13 1.31 1.56 1.84 2.09 2.33 2.60 3.00 3.53 4.13 4.67 5.01 5.07 4.87 4.53 4.15 3.81 3.51 3.19 2.81 2.36 1.91 1.54 1.32 1.23 1.20 1.14 0.96 0.69 0.41 0.21 0.17 0.29 0.46 0.57 0.56 0.44 0.30 0.24 0.31 0.49 0.69 0.78 0.74 0.58 0.40 0.30 0.32 0.44 0.59 0.69 0.69 0.60 0.46 0.31 0.20 0.14 0.13 0.15 0.19 0.22 0.22 0.23 0.27 0.37 0.56 0.80 1.01 1.15 1.17 1.12 1.08 1.13 1.31 1.56 1.84 2.09 2.33 2.60 3.00 3.53 4.13 4.67 5.01 5.07 4.87 4.53 4.15 3.81 3.51 3.19 2.81 2.36 1.91 1.54 55.0 + 57.5 1.20 0.93 0.79 0.72 0.63 0.46 0.22 0.00 0.00 0.00 0.05 0.24 0.35 0.34 0.24 0.12 0.09 0.19 0.38 0.56 0.65 0.62 0.49 0.36 0.32 0.38 0.51 0.65 0.72 0.72 0.64 0.53 0.41 0.32 0.26 0.24 0.23 0.24 0.24 0.23 0.23 0.25 0.35 0.51 0.73 0.94 1.07 1.11 1.09 1.09 1.17 1.37 1.66 1.99 2.31 2.63 2.99 3.44 3.96 4.50 4.94 5.17 5.15 4.92 4.57 4.19 3.84 3.49 3.10 2.64 2.13 1.62 1.20 0.93 0.79 0.72 0.63 0.46 0.22 0.00 0.00 0.00 0.05 0.24 0.35 0.34 0.24 0.12 0.09 0.19 0.38 0.56 0.65 0.62 0.49 0.36 0.32 0.38 0.51 0.65 0.72 0.72 0.64 0.53 0.41 0.32 0.26 0.24 0.23 0.24 0.24 0.23 0.23 0.25 0.35 0.51 0.73 0.94 1.07 1.11 1.09 1.09 1.17 1.37 1.66 1.99 2.31 2.63 2.99 3.44 3.96 4.50 4.94 5.17 5.15 4.92 4.57 4.19 3.84 3.49 3.10 2.64 2.13 1.62 1.20 57.5 + 60.0 0.81 0.52 0.36 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.14 0.06 0.00 0.01 0.14 0.33 0.49 0.55 0.48 0.36 0.26 0.25 0.34 0.48 0.60 0.65 0.64 0.58 0.51 0.46 0.43 0.41 0.41 0.42 0.43 0.43 0.43 0.43 0.45 0.52 0.64 0.81 0.96 1.06 1.10 1.11 1.14 1.25 1.48 1.80 2.16 2.53 2.90 3.30 3.73 4.19 4.61 4.90 5.00 4.89 4.63 4.29 3.93 3.58 3.22 2.80 2.31 1.76 1.24 0.81 0.52 0.36 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.04 0.15 0.14 0.06 0.00 0.01 0.14 0.33 0.49 0.55 0.48 0.36 0.26 0.25 0.34 0.48 0.60 0.65 0.64 0.58 0.51 0.46 0.43 0.41 0.41 0.42 0.43 0.43 0.43 0.43 0.45 0.52 0.64 0.81 0.96 1.06 1.10 1.11 1.14 1.25 1.48 1.80 2.16 2.53 2.90 3.30 3.73 4.19 4.61 4.90 5.00 4.89 4.63 4.29 3.93 3.58 3.22 2.80 2.31 1.76 1.24 0.81 60.0 + 62.5 0.49 0.20 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.29 0.41 0.41 0.30 0.15 0.06 0.07 0.17 0.31 0.42 0.46 0.44 0.40 0.38 0.40 0.44 0.50 0.55 0.60 0.64 0.69 0.72 0.75 0.77 0.81 0.88 0.97 1.05 1.10 1.13 1.16 1.23 1.39 1.64 1.97 2.33 2.71 3.08 3.46 3.83 4.16 4.42 4.55 4.52 4.34 4.06 3.75 3.44 3.13 2.79 2.39 1.92 1.40 0.90 0.49 0.20 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.29 0.41 0.41 0.30 0.15 0.06 0.07 0.17 0.31 0.42 0.46 0.44 0.40 0.38 0.40 0.44 0.50 0.55 0.60 0.64 0.69 0.72 0.75 0.77 0.81 0.88 0.97 1.05 1.10 1.13 1.16 1.23 1.39 1.64 1.97 2.33 2.71 3.08 3.46 3.83 4.16 4.42 4.55 4.52 4.34 4.06 3.75 3.44 3.13 2.79 2.39 1.92 1.40 0.90 0.49 62.5 + 65.0 0.36 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.29 0.13 0.00 0.00 0.00 0.00 0.11 0.21 0.24 0.22 0.20 0.22 0.30 0.40 0.51 0.61 0.71 0.81 0.91 1.01 1.07 1.11 1.13 1.13 1.14 1.15 1.16 1.18 1.24 1.36 1.56 1.83 2.15 2.50 2.84 3.17 3.47 3.73 3.92 4.01 3.98 3.84 3.61 3.35 3.09 2.85 2.62 2.36 2.03 1.64 1.19 0.75 0.36 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.34 0.29 0.13 0.00 0.00 0.00 0.00 0.11 0.21 0.24 0.22 0.20 0.22 0.30 0.40 0.51 0.61 0.71 0.81 0.91 1.01 1.07 1.11 1.13 1.13 1.14 1.15 1.16 1.18 1.24 1.36 1.56 1.83 2.15 2.50 2.84 3.17 3.47 3.73 3.92 4.01 3.98 3.84 3.61 3.35 3.09 2.85 2.62 2.36 2.03 1.64 1.19 0.75 0.36 65.0 + 67.5 0.48 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.09 0.12 0.11 0.11 0.15 0.24 0.35 0.48 0.60 0.74 0.90 1.07 1.23 1.35 1.40 1.39 1.35 1.29 1.24 1.23 1.27 1.36 1.53 1.76 2.03 2.34 2.64 2.92 3.16 3.36 3.49 3.54 3.48 3.34 3.12 2.88 2.66 2.47 2.33 2.19 2.04 1.83 1.55 1.21 0.83 0.48 0.20 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.35 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.09 0.12 0.11 0.11 0.15 0.24 0.35 0.48 0.60 0.74 0.90 1.07 1.23 1.35 1.40 1.39 1.35 1.29 1.24 1.23 1.27 1.36 1.53 1.76 2.03 2.34 2.64 2.92 3.16 3.36 3.49 3.54 3.48 3.34 3.12 2.88 2.66 2.47 2.33 2.19 2.04 1.83 1.55 1.21 0.83 0.48 67.5 + 70.0 0.81 0.52 0.28 0.12 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.12 0.30 0.45 0.49 0.39 0.21 0.02 0.00 0.00 0.00 0.09 0.16 0.18 0.17 0.17 0.20 0.27 0.35 0.45 0.58 0.74 0.95 1.18 1.41 1.57 1.64 1.62 1.55 1.45 1.38 1.36 1.41 1.53 1.73 1.97 2.24 2.50 2.74 2.94 3.09 3.18 3.20 3.14 2.99 2.77 2.53 2.30 2.12 2.01 1.95 1.92 1.89 1.81 1.66 1.43 1.14 0.81 0.52 0.28 0.12 0.03 0.00 0.00 0.00 0.00 0.00 0.01 0.03 0.01 0.00 0.00 0.00 0.12 0.30 0.45 0.49 0.39 0.21 0.02 0.00 0.00 0.00 0.09 0.16 0.18 0.17 0.17 0.20 0.27 0.35 0.45 0.58 0.74 0.95 1.18 1.41 1.57 1.64 1.62 1.55 1.45 1.38 1.36 1.41 1.53 1.73 1.97 2.24 2.50 2.74 2.94 3.09 3.18 3.20 3.14 2.99 2.77 2.53 2.30 2.12 2.01 1.95 1.92 1.89 1.81 1.66 1.43 1.14 0.81 70.0 + 72.5 1.24 0.93 0.67 0.48 0.37 0.31 0.29 0.28 0.29 0.31 0.33 0.33 0.30 0.25 0.21 0.24 0.35 0.52 0.66 0.71 0.65 0.49 0.33 0.22 0.20 0.25 0.32 0.37 0.37 0.35 0.34 0.34 0.36 0.40 0.46 0.57 0.75 1.00 1.30 1.57 1.78 1.87 1.86 1.79 1.68 1.60 1.58 1.63 1.76 1.96 2.19 2.43 2.64 2.80 2.91 2.96 2.96 2.90 2.78 2.59 2.37 2.13 1.93 1.79 1.72 1.73 1.79 1.86 1.91 1.88 1.76 1.53 1.24 0.93 0.67 0.48 0.37 0.31 0.29 0.28 0.29 0.31 0.33 0.33 0.30 0.25 0.21 0.24 0.35 0.52 0.66 0.71 0.65 0.49 0.33 0.22 0.20 0.25 0.32 0.37 0.37 0.35 0.34 0.34 0.36 0.40 0.46 0.57 0.75 1.00 1.30 1.57 1.78 1.87 1.86 1.79 1.68 1.60 1.58 1.63 1.76 1.96 2.19 2.43 2.64 2.80 2.91 2.96 2.96 2.90 2.78 2.59 2.37 2.13 1.93 1.79 1.72 1.73 1.79 1.86 1.91 1.88 1.76 1.53 1.24 72.5 + 75.0 1.60 1.30 1.03 0.83 0.71 0.64 0.61 0.59 0.59 0.61 0.64 0.65 0.62 0.56 0.50 0.49 0.56 0.70 0.85 0.93 0.91 0.81 0.67 0.56 0.52 0.52 0.55 0.56 0.54 0.51 0.47 0.44 0.43 0.44 0.50 0.62 0.83 1.13 1.46 1.76 1.99 2.11 2.13 2.07 1.98 1.90 1.87 1.90 2.00 2.17 2.37 2.55 2.69 2.77 2.78 2.74 2.67 2.58 2.46 2.29 2.10 1.90 1.71 1.59 1.54 1.58 1.70 1.85 2.00 2.07 2.03 1.87 1.60 1.30 1.03 0.83 0.71 0.64 0.61 0.59 0.59 0.61 0.64 0.65 0.62 0.56 0.50 0.49 0.56 0.70 0.85 0.93 0.91 0.81 0.67 0.56 0.52 0.52 0.55 0.56 0.54 0.51 0.47 0.44 0.43 0.44 0.50 0.62 0.83 1.13 1.46 1.76 1.99 2.11 2.13 2.07 1.98 1.90 1.87 1.90 2.00 2.17 2.37 2.55 2.69 2.77 2.78 2.74 2.67 2.58 2.46 2.29 2.10 1.90 1.71 1.59 1.54 1.58 1.70 1.85 2.00 2.07 2.03 1.87 1.60 75.0 + 77.5 1.78 1.51 1.26 1.07 0.94 0.86 0.79 0.75 0.73 0.76 0.81 0.85 0.84 0.77 0.67 0.61 0.62 0.73 0.88 1.00 1.04 0.98 0.86 0.74 0.66 0.62 0.61 0.59 0.55 0.50 0.44 0.40 0.40 0.44 0.54 0.73 1.00 1.33 1.67 1.97 2.19 2.32 2.36 2.33 2.27 2.19 2.13 2.10 2.15 2.25 2.40 2.52 2.59 2.57 2.49 2.37 2.26 2.17 2.09 2.00 1.87 1.71 1.54 1.40 1.35 1.39 1.54 1.75 1.96 2.11 2.13 2.01 1.78 1.51 1.26 1.07 0.94 0.86 0.79 0.75 0.73 0.76 0.81 0.85 0.84 0.77 0.67 0.61 0.62 0.73 0.88 1.00 1.04 0.98 0.86 0.74 0.66 0.62 0.61 0.59 0.55 0.50 0.44 0.40 0.40 0.44 0.54 0.73 1.00 1.33 1.67 1.97 2.19 2.32 2.36 2.33 2.27 2.19 2.13 2.10 2.15 2.25 2.40 2.52 2.59 2.57 2.49 2.37 2.26 2.17 2.09 2.00 1.87 1.71 1.54 1.40 1.35 1.39 1.54 1.75 1.96 2.11 2.13 2.01 1.78 77.5 + 80.0 1.73 1.51 1.31 1.14 1.01 0.89 0.78 0.68 0.65 0.68 0.77 0.86 0.87 0.79 0.64 0.50 0.45 0.52 0.68 0.84 0.93 0.90 0.79 0.65 0.53 0.46 0.42 0.39 0.34 0.28 0.23 0.21 0.26 0.40 0.62 0.91 1.25 1.59 1.88 2.12 2.28 2.38 2.44 2.44 2.40 2.31 2.20 2.10 2.06 2.10 2.19 2.26 2.26 2.16 1.99 1.80 1.67 1.62 1.62 1.63 1.58 1.46 1.29 1.12 1.04 1.08 1.25 1.50 1.76 1.94 1.99 1.91 1.73 1.51 1.31 1.14 1.01 0.89 0.78 0.68 0.65 0.68 0.77 0.86 0.87 0.79 0.64 0.50 0.45 0.52 0.68 0.84 0.93 0.90 0.79 0.65 0.53 0.46 0.42 0.39 0.34 0.28 0.23 0.21 0.26 0.40 0.62 0.91 1.25 1.59 1.88 2.12 2.28 2.38 2.44 2.44 2.40 2.31 2.20 2.10 2.06 2.10 2.19 2.26 2.26 2.16 1.99 1.80 1.67 1.62 1.62 1.63 1.58 1.46 1.29 1.12 1.04 1.08 1.25 1.50 1.76 1.94 1.99 1.91 1.73 80.0 + 82.5 1.48 1.32 1.18 1.05 0.92 0.75 0.57 0.42 0.36 0.41 0.54 0.66 0.70 0.59 0.39 0.18 0.07 0.12 0.28 0.48 0.60 0.60 0.48 0.32 0.19 0.11 0.08 0.07 0.03 0.00 0.00 0.00 0.12 0.39 0.75 1.16 1.54 1.84 2.03 2.13 2.18 2.21 2.25 2.27 2.24 2.13 1.96 1.79 1.69 1.67 1.72 1.76 1.71 1.54 1.29 1.06 0.93 0.93 1.04 1.15 1.19 1.10 0.91 0.72 0.61 0.65 0.84 1.12 1.40 1.60 1.67 1.62 1.48 1.32 1.18 1.05 0.92 0.75 0.57 0.42 0.36 0.41 0.54 0.66 0.70 0.59 0.39 0.18 0.07 0.12 0.28 0.48 0.60 0.60 0.48 0.32 0.19 0.11 0.08 0.07 0.03 0.00 0.00 0.00 0.12 0.39 0.75 1.16 1.54 1.84 2.03 2.13 2.18 2.21 2.25 2.27 2.24 2.13 1.96 1.79 1.69 1.67 1.72 1.76 1.71 1.54 1.29 1.06 0.93 0.93 1.04 1.15 1.19 1.10 0.91 0.72 0.61 0.65 0.84 1.12 1.40 1.60 1.67 1.62 1.48 82.5 + 85.0 1.15 1.06 0.97 0.87 0.73 0.52 0.27 0.07 0.00 0.04 0.21 0.37 0.42 0.29 0.03 0.00 0.00 0.00 0.00 0.06 0.21 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.49 0.97 1.45 1.82 2.02 2.05 1.96 1.84 1.77 1.76 1.77 1.74 1.62 1.42 1.21 1.06 1.02 1.06 1.09 1.02 0.82 0.53 0.27 0.15 0.22 0.42 0.63 0.73 0.67 0.47 0.26 0.14 0.19 0.40 0.71 1.00 1.20 1.28 1.24 1.15 1.06 0.97 0.87 0.73 0.52 0.27 0.07 0.00 0.04 0.21 0.37 0.42 0.29 0.03 0.00 0.00 0.00 0.00 0.06 0.21 0.22 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.49 0.97 1.45 1.82 2.02 2.05 1.96 1.84 1.77 1.76 1.77 1.74 1.62 1.42 1.21 1.06 1.02 1.06 1.09 1.02 0.82 0.53 0.27 0.15 0.22 0.42 0.63 0.73 0.67 0.47 0.26 0.14 0.19 0.40 0.71 1.00 1.20 1.28 1.24 1.15 85.0 + 87.5 0.88 0.84 0.80 0.72 0.56 0.31 0.01 0.00 0.00 0.00 0.00 0.14 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.32 0.76 1.28 1.74 2.02 2.07 1.90 1.61 1.33 1.14 1.08 1.07 1.04 0.92 0.72 0.50 0.36 0.35 0.41 0.46 0.40 0.18 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.09 0.00 0.00 0.00 0.06 0.38 0.68 0.87 0.94 0.93 0.88 0.84 0.80 0.72 0.56 0.31 0.01 0.00 0.00 0.00 0.00 0.14 0.19 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.32 0.76 1.28 1.74 2.02 2.07 1.90 1.61 1.33 1.14 1.08 1.07 1.04 0.92 0.72 0.50 0.36 0.35 0.41 0.46 0.40 0.18 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.29 0.09 0.00 0.00 0.00 0.06 0.38 0.68 0.87 0.94 0.93 0.88 87.5 + 90.0 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 90.0 + + 75.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.91 ) PHI2 = 75. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 0.0 + 2.5 1.08 1.30 1.55 1.80 2.05 2.23 2.30 2.25 2.08 1.85 1.60 1.36 1.13 0.91 0.70 0.53 0.41 0.36 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.11 1.34 1.57 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 1.30 1.55 1.80 2.05 2.23 2.30 2.25 2.08 1.85 1.60 1.36 1.13 0.91 0.70 0.53 0.41 0.36 0.36 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.37 0.41 0.41 0.45 0.54 0.70 0.90 1.11 1.34 1.57 1.81 2.03 2.18 2.23 2.16 1.99 1.76 1.52 1.28 1.06 0.85 0.66 0.51 0.42 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 2.5 + 5.0 0.95 1.20 1.49 1.80 2.11 2.35 2.46 2.43 2.25 1.99 1.70 1.42 1.16 0.93 0.71 0.52 0.39 0.33 0.32 0.32 0.27 0.14 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.49 0.48 0.47 0.53 0.65 0.84 1.07 1.32 1.57 1.82 2.03 2.16 2.18 2.09 1.90 1.66 1.40 1.14 0.90 0.69 0.52 0.42 0.39 0.43 0.48 0.48 0.38 0.20 0.00 0.00 0.00 0.00 0.03 0.20 0.30 0.32 0.28 0.25 0.27 0.37 0.53 0.73 0.95 1.20 1.49 1.80 2.11 2.35 2.46 2.43 2.25 1.99 1.70 1.42 1.16 0.93 0.71 0.52 0.39 0.33 0.32 0.32 0.27 0.14 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.49 0.48 0.47 0.53 0.65 0.84 1.07 1.32 1.57 1.82 2.03 2.16 2.18 2.09 1.90 1.66 1.40 1.14 0.90 0.69 0.52 0.42 0.39 0.43 0.48 0.48 0.38 0.20 0.00 0.00 0.00 0.00 0.03 0.20 0.30 0.32 0.28 0.25 0.27 0.37 0.53 0.73 0.95 5.0 + 7.5 0.75 1.02 1.35 1.73 2.11 2.43 2.60 2.59 2.41 2.13 1.80 1.49 1.23 0.99 0.77 0.58 0.43 0.35 0.34 0.37 0.36 0.30 0.16 0.00 0.00 0.00 0.00 0.18 0.38 0.51 0.55 0.52 0.47 0.46 0.54 0.70 0.94 1.22 1.50 1.75 1.94 2.04 2.03 1.91 1.72 1.47 1.20 0.92 0.66 0.45 0.31 0.27 0.32 0.43 0.52 0.53 0.44 0.26 0.08 0.00 0.00 0.05 0.19 0.29 0.31 0.26 0.17 0.10 0.11 0.20 0.35 0.53 0.75 1.02 1.35 1.73 2.11 2.43 2.60 2.59 2.41 2.13 1.80 1.49 1.23 0.99 0.77 0.58 0.43 0.35 0.34 0.37 0.36 0.30 0.16 0.00 0.00 0.00 0.00 0.18 0.38 0.51 0.55 0.52 0.47 0.46 0.54 0.70 0.94 1.22 1.50 1.75 1.94 2.04 2.03 1.91 1.72 1.47 1.20 0.92 0.66 0.45 0.31 0.27 0.32 0.43 0.52 0.53 0.44 0.26 0.08 0.00 0.00 0.05 0.19 0.29 0.31 0.26 0.17 0.10 0.11 0.20 0.35 0.53 0.75 7.5 + 10.0 0.50 0.76 1.11 1.54 1.99 2.38 2.61 2.64 2.48 2.19 1.86 1.56 1.31 1.11 0.92 0.74 0.58 0.48 0.46 0.49 0.53 0.51 0.39 0.22 0.05 0.00 0.03 0.19 0.39 0.53 0.57 0.51 0.40 0.33 0.35 0.48 0.73 1.03 1.33 1.58 1.74 1.79 1.75 1.63 1.45 1.22 0.95 0.67 0.40 0.19 0.08 0.09 0.21 0.37 0.47 0.47 0.35 0.17 0.01 0.00 0.00 0.12 0.24 0.29 0.25 0.14 0.01 0.00 0.00 0.03 0.15 0.31 0.50 0.76 1.11 1.54 1.99 2.38 2.61 2.64 2.48 2.19 1.86 1.56 1.31 1.11 0.92 0.74 0.58 0.48 0.46 0.49 0.53 0.51 0.39 0.22 0.05 0.00 0.03 0.19 0.39 0.53 0.57 0.51 0.40 0.33 0.35 0.48 0.73 1.03 1.33 1.58 1.74 1.79 1.75 1.63 1.45 1.22 0.95 0.67 0.40 0.19 0.08 0.09 0.21 0.37 0.47 0.47 0.35 0.17 0.01 0.00 0.00 0.12 0.24 0.29 0.25 0.14 0.01 0.00 0.00 0.03 0.15 0.31 0.50 10.0 + 12.5 0.23 0.46 0.80 1.25 1.74 2.18 2.46 2.54 2.41 2.15 1.86 1.60 1.42 1.28 1.14 0.98 0.81 0.69 0.64 0.67 0.72 0.72 0.62 0.42 0.19 0.04 0.03 0.16 0.35 0.51 0.56 0.48 0.32 0.18 0.14 0.25 0.50 0.81 1.11 1.34 1.47 1.48 1.42 1.31 1.15 0.96 0.72 0.45 0.18 0.00 0.00 0.00 0.10 0.28 0.36 0.32 0.15 0.00 0.00 0.00 0.00 0.05 0.18 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.23 0.46 0.80 1.25 1.74 2.18 2.46 2.54 2.41 2.15 1.86 1.60 1.42 1.28 1.14 0.98 0.81 0.69 0.64 0.67 0.72 0.72 0.62 0.42 0.19 0.04 0.03 0.16 0.35 0.51 0.56 0.48 0.32 0.18 0.14 0.25 0.50 0.81 1.11 1.34 1.47 1.48 1.42 1.31 1.15 0.96 0.72 0.45 0.18 0.00 0.00 0.00 0.10 0.28 0.36 0.32 0.15 0.00 0.00 0.00 0.00 0.05 0.18 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.23 12.5 + 15.0 0.00 0.17 0.49 0.93 1.44 1.91 2.22 2.33 2.24 2.04 1.81 1.63 1.53 1.46 1.38 1.24 1.06 0.90 0.82 0.83 0.88 0.89 0.78 0.55 0.27 0.07 0.01 0.13 0.34 0.52 0.57 0.47 0.28 0.09 0.02 0.11 0.36 0.67 0.97 1.17 1.25 1.23 1.16 1.06 0.94 0.79 0.59 0.34 0.08 0.00 0.00 0.00 0.07 0.23 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.49 0.93 1.44 1.91 2.22 2.33 2.24 2.04 1.81 1.63 1.53 1.46 1.38 1.24 1.06 0.90 0.82 0.83 0.88 0.89 0.78 0.55 0.27 0.07 0.01 0.13 0.34 0.52 0.57 0.47 0.28 0.09 0.02 0.11 0.36 0.67 0.97 1.17 1.25 1.23 1.16 1.06 0.94 0.79 0.59 0.34 0.08 0.00 0.00 0.00 0.07 0.23 0.28 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 15.0 + 17.5 0.00 0.00 0.26 0.69 1.20 1.66 1.98 2.10 2.05 1.90 1.75 1.66 1.64 1.64 1.58 1.43 1.23 1.03 0.92 0.91 0.96 0.97 0.86 0.62 0.32 0.09 0.03 0.16 0.38 0.58 0.64 0.53 0.32 0.12 0.04 0.14 0.39 0.70 0.98 1.16 1.20 1.15 1.07 0.98 0.90 0.79 0.62 0.38 0.13 0.00 0.00 0.00 0.17 0.32 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.26 0.69 1.20 1.66 1.98 2.10 2.05 1.90 1.75 1.66 1.64 1.64 1.58 1.43 1.23 1.03 0.92 0.91 0.96 0.97 0.86 0.62 0.32 0.09 0.03 0.16 0.38 0.58 0.64 0.53 0.32 0.12 0.04 0.14 0.39 0.70 0.98 1.16 1.20 1.15 1.07 0.98 0.90 0.79 0.62 0.38 0.13 0.00 0.00 0.00 0.17 0.32 0.32 0.16 0.00 0.00 0.00 0.00 0.00 0.01 0.14 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.00 0.16 0.59 1.08 1.52 1.81 1.92 1.89 1.79 1.72 1.71 1.75 1.78 1.72 1.55 1.30 1.08 0.94 0.94 0.99 1.01 0.90 0.66 0.37 0.15 0.11 0.25 0.49 0.69 0.75 0.64 0.42 0.24 0.18 0.31 0.57 0.89 1.15 1.30 1.31 1.25 1.16 1.09 1.03 0.93 0.77 0.54 0.30 0.13 0.10 0.22 0.42 0.56 0.54 0.34 0.04 0.00 0.00 0.00 0.06 0.28 0.37 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.59 1.08 1.52 1.81 1.92 1.89 1.79 1.72 1.71 1.75 1.78 1.72 1.55 1.30 1.08 0.94 0.94 0.99 1.01 0.90 0.66 0.37 0.15 0.11 0.25 0.49 0.69 0.75 0.64 0.42 0.24 0.18 0.31 0.57 0.89 1.15 1.30 1.31 1.25 1.16 1.09 1.03 0.93 0.77 0.54 0.30 0.13 0.10 0.22 0.42 0.56 0.54 0.34 0.04 0.00 0.00 0.00 0.06 0.28 0.37 0.30 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.00 0.00 0.19 0.62 1.09 1.48 1.73 1.81 1.78 1.73 1.73 1.79 1.88 1.92 1.84 1.64 1.37 1.13 1.01 1.02 1.09 1.10 0.98 0.74 0.46 0.26 0.25 0.40 0.63 0.81 0.83 0.71 0.51 0.35 0.34 0.51 0.79 1.10 1.34 1.47 1.47 1.41 1.33 1.27 1.22 1.13 0.97 0.75 0.52 0.37 0.37 0.52 0.74 0.89 0.87 0.67 0.39 0.16 0.12 0.27 0.53 0.73 0.77 0.63 0.39 0.17 0.04 0.01 0.03 0.01 0.00 0.00 0.00 0.00 0.19 0.62 1.09 1.48 1.73 1.81 1.78 1.73 1.73 1.79 1.88 1.92 1.84 1.64 1.37 1.13 1.01 1.02 1.09 1.10 0.98 0.74 0.46 0.26 0.25 0.40 0.63 0.81 0.83 0.71 0.51 0.35 0.34 0.51 0.79 1.10 1.34 1.47 1.47 1.41 1.33 1.27 1.22 1.13 0.97 0.75 0.52 0.37 0.37 0.52 0.74 0.89 0.87 0.67 0.39 0.16 0.12 0.27 0.53 0.73 0.77 0.63 0.39 0.17 0.04 0.01 0.03 0.01 0.00 0.00 0.00 22.5 + 25.0 0.00 0.02 0.31 0.73 1.17 1.51 1.69 1.74 1.71 1.71 1.78 1.91 2.05 2.11 2.02 1.81 1.56 1.36 1.30 1.34 1.41 1.40 1.23 0.94 0.64 0.44 0.43 0.57 0.75 0.87 0.84 0.68 0.50 0.38 0.42 0.62 0.90 1.19 1.40 1.50 1.51 1.46 1.40 1.35 1.31 1.22 1.07 0.86 0.66 0.55 0.59 0.78 1.02 1.18 1.18 1.00 0.74 0.57 0.58 0.77 1.03 1.21 1.20 1.00 0.71 0.45 0.31 0.28 0.28 0.23 0.11 0.00 0.00 0.02 0.31 0.73 1.17 1.51 1.69 1.74 1.71 1.71 1.78 1.91 2.05 2.11 2.02 1.81 1.56 1.36 1.30 1.34 1.41 1.40 1.23 0.94 0.64 0.44 0.43 0.57 0.75 0.87 0.84 0.68 0.50 0.38 0.42 0.62 0.90 1.19 1.40 1.50 1.51 1.46 1.40 1.35 1.31 1.22 1.07 0.86 0.66 0.55 0.59 0.78 1.02 1.18 1.18 1.00 0.74 0.57 0.58 0.77 1.03 1.21 1.20 1.00 0.71 0.45 0.31 0.28 0.28 0.23 0.11 0.00 0.00 25.0 + 27.5 0.08 0.17 0.46 0.86 1.26 1.54 1.67 1.67 1.66 1.71 1.86 2.09 2.29 2.39 2.34 2.18 2.00 1.90 1.92 2.01 2.07 1.99 1.72 1.33 0.96 0.72 0.67 0.75 0.86 0.88 0.77 0.58 0.39 0.32 0.39 0.60 0.85 1.09 1.24 1.31 1.30 1.27 1.24 1.22 1.19 1.12 0.98 0.80 0.64 0.58 0.66 0.88 1.14 1.31 1.31 1.15 0.94 0.82 0.88 1.12 1.40 1.57 1.53 1.30 0.98 0.73 0.60 0.58 0.59 0.52 0.36 0.18 0.08 0.17 0.46 0.86 1.26 1.54 1.67 1.67 1.66 1.71 1.86 2.09 2.29 2.39 2.34 2.18 2.00 1.90 1.92 2.01 2.07 1.99 1.72 1.33 0.96 0.72 0.67 0.75 0.86 0.88 0.77 0.58 0.39 0.32 0.39 0.60 0.85 1.09 1.24 1.31 1.30 1.27 1.24 1.22 1.19 1.12 0.98 0.80 0.64 0.58 0.66 0.88 1.14 1.31 1.31 1.15 0.94 0.82 0.88 1.12 1.40 1.57 1.53 1.30 0.98 0.73 0.60 0.58 0.59 0.52 0.36 0.18 0.08 27.5 + 30.0 0.29 0.34 0.61 0.98 1.34 1.57 1.64 1.62 1.62 1.73 1.97 2.30 2.60 2.77 2.80 2.74 2.69 2.74 2.89 3.03 3.06 2.86 2.44 1.90 1.42 1.10 0.98 0.99 1.00 0.92 0.72 0.48 0.30 0.25 0.34 0.52 0.71 0.85 0.92 0.92 0.90 0.87 0.86 0.87 0.86 0.80 0.69 0.55 0.44 0.43 0.55 0.79 1.05 1.22 1.22 1.07 0.89 0.81 0.93 1.22 1.53 1.71 1.68 1.45 1.16 0.94 0.86 0.89 0.91 0.84 0.65 0.42 0.29 0.34 0.61 0.98 1.34 1.57 1.64 1.62 1.62 1.73 1.97 2.30 2.60 2.77 2.80 2.74 2.69 2.74 2.89 3.03 3.06 2.86 2.44 1.90 1.42 1.10 0.98 0.99 1.00 0.92 0.72 0.48 0.30 0.25 0.34 0.52 0.71 0.85 0.92 0.92 0.90 0.87 0.86 0.87 0.86 0.80 0.69 0.55 0.44 0.43 0.55 0.79 1.05 1.22 1.22 1.07 0.89 0.81 0.93 1.22 1.53 1.71 1.68 1.45 1.16 0.94 0.86 0.89 0.91 0.84 0.65 0.42 0.29 30.0 + 32.5 0.50 0.53 0.77 1.13 1.45 1.64 1.66 1.62 1.62 1.78 2.11 2.52 2.91 3.18 3.32 3.40 3.53 3.75 4.03 4.22 4.19 3.86 3.26 2.57 1.96 1.57 1.39 1.32 1.24 1.05 0.78 0.50 0.32 0.29 0.38 0.52 0.63 0.66 0.62 0.54 0.47 0.44 0.44 0.45 0.45 0.41 0.32 0.21 0.14 0.16 0.31 0.56 0.81 0.96 0.94 0.79 0.63 0.60 0.77 1.11 1.47 1.69 1.68 1.49 1.24 1.08 1.06 1.15 1.21 1.15 0.93 0.67 0.50 0.53 0.77 1.13 1.45 1.64 1.66 1.62 1.62 1.78 2.11 2.52 2.91 3.18 3.32 3.40 3.53 3.75 4.03 4.22 4.19 3.86 3.26 2.57 1.96 1.57 1.39 1.32 1.24 1.05 0.78 0.50 0.32 0.29 0.38 0.52 0.63 0.66 0.62 0.54 0.47 0.44 0.44 0.45 0.45 0.41 0.32 0.21 0.14 0.16 0.31 0.56 0.81 0.96 0.94 0.79 0.63 0.60 0.77 1.11 1.47 1.69 1.68 1.49 1.24 1.08 1.06 1.15 1.21 1.15 0.93 0.67 0.50 32.5 + 35.0 0.71 0.74 0.98 1.34 1.65 1.80 1.78 1.70 1.69 1.87 2.24 2.71 3.17 3.51 3.75 3.97 4.26 4.65 5.05 5.28 5.19 4.73 3.99 3.16 2.47 2.03 1.81 1.70 1.56 1.30 0.98 0.69 0.53 0.52 0.61 0.71 0.73 0.66 0.51 0.36 0.24 0.19 0.18 0.19 0.18 0.13 0.04 0.00 0.00 0.00 0.08 0.33 0.57 0.69 0.65 0.49 0.34 0.35 0.57 0.97 1.38 1.64 1.67 1.51 1.30 1.19 1.23 1.36 1.45 1.40 1.18 0.90 0.71 0.74 0.98 1.34 1.65 1.80 1.78 1.70 1.69 1.87 2.24 2.71 3.17 3.51 3.75 3.97 4.26 4.65 5.05 5.28 5.19 4.73 3.99 3.16 2.47 2.03 1.81 1.70 1.56 1.30 0.98 0.69 0.53 0.52 0.61 0.71 0.73 0.66 0.51 0.36 0.24 0.19 0.18 0.19 0.18 0.13 0.04 0.00 0.00 0.00 0.08 0.33 0.57 0.69 0.65 0.49 0.34 0.35 0.57 0.97 1.38 1.64 1.67 1.51 1.30 1.19 1.23 1.36 1.45 1.40 1.18 0.90 0.71 35.0 + 37.5 0.94 1.00 1.27 1.65 1.95 2.07 2.01 1.87 1.82 1.98 2.34 2.81 3.27 3.65 3.95 4.26 4.68 5.18 5.65 5.90 5.76 5.21 4.38 3.49 2.78 2.35 2.15 2.04 1.87 1.59 1.25 0.97 0.84 0.87 0.98 1.06 1.04 0.89 0.68 0.47 0.32 0.25 0.23 0.22 0.19 0.12 0.00 0.00 0.00 0.00 0.00 0.23 0.45 0.55 0.49 0.32 0.19 0.23 0.52 0.97 1.44 1.74 1.79 1.64 1.44 1.33 1.39 1.53 1.63 1.58 1.37 1.10 0.94 1.00 1.27 1.65 1.95 2.07 2.01 1.87 1.82 1.98 2.34 2.81 3.27 3.65 3.95 4.26 4.68 5.18 5.65 5.90 5.76 5.21 4.38 3.49 2.78 2.35 2.15 2.04 1.87 1.59 1.25 0.97 0.84 0.87 0.98 1.06 1.04 0.89 0.68 0.47 0.32 0.25 0.23 0.22 0.19 0.12 0.00 0.00 0.00 0.00 0.00 0.23 0.45 0.55 0.49 0.32 0.19 0.23 0.52 0.97 1.44 1.74 1.79 1.64 1.44 1.33 1.39 1.53 1.63 1.58 1.37 1.10 0.94 37.5 + 40.0 1.18 1.30 1.62 2.01 2.31 2.39 2.27 2.07 1.95 2.05 2.35 2.77 3.19 3.53 3.83 4.17 4.62 5.17 5.67 5.91 5.74 5.14 4.29 3.42 2.76 2.40 2.26 2.19 2.04 1.76 1.44 1.19 1.10 1.17 1.32 1.42 1.40 1.25 1.03 0.81 0.66 0.58 0.55 0.54 0.49 0.39 0.23 0.06 0.00 0.00 0.11 0.34 0.55 0.64 0.57 0.40 0.29 0.38 0.73 1.25 1.76 2.08 2.13 1.96 1.72 1.58 1.60 1.71 1.79 1.73 1.53 1.30 1.18 1.30 1.62 2.01 2.31 2.39 2.27 2.07 1.95 2.05 2.35 2.77 3.19 3.53 3.83 4.17 4.62 5.17 5.67 5.91 5.74 5.14 4.29 3.42 2.76 2.40 2.26 2.19 2.04 1.76 1.44 1.19 1.10 1.17 1.32 1.42 1.40 1.25 1.03 0.81 0.66 0.58 0.55 0.54 0.49 0.39 0.23 0.06 0.00 0.00 0.11 0.34 0.55 0.64 0.57 0.40 0.29 0.38 0.73 1.25 1.76 2.08 2.13 1.96 1.72 1.58 1.60 1.71 1.79 1.73 1.53 1.30 1.18 40.0 + 42.5 1.44 1.60 1.95 2.35 2.62 2.65 2.46 2.18 2.00 2.02 2.25 2.59 2.92 3.18 3.40 3.69 4.11 4.63 5.09 5.31 5.12 4.53 3.72 2.94 2.38 2.12 2.06 2.05 1.94 1.70 1.42 1.20 1.15 1.26 1.44 1.59 1.62 1.52 1.35 1.17 1.05 1.00 0.99 0.99 0.95 0.83 0.65 0.45 0.30 0.28 0.41 0.64 0.85 0.93 0.86 0.72 0.65 0.80 1.21 1.80 2.35 2.69 2.71 2.49 2.19 1.97 1.91 1.95 1.98 1.90 1.70 1.50 1.44 1.60 1.95 2.35 2.62 2.65 2.46 2.18 2.00 2.02 2.25 2.59 2.92 3.18 3.40 3.69 4.11 4.63 5.09 5.31 5.12 4.53 3.72 2.94 2.38 2.12 2.06 2.05 1.94 1.70 1.42 1.20 1.15 1.26 1.44 1.59 1.62 1.52 1.35 1.17 1.05 1.00 0.99 0.99 0.95 0.83 0.65 0.45 0.30 0.28 0.41 0.64 0.85 0.93 0.86 0.72 0.65 0.80 1.21 1.80 2.35 2.69 2.71 2.49 2.19 1.97 1.91 1.95 1.98 1.90 1.70 1.50 1.44 42.5 + 45.0 1.68 1.86 2.20 2.57 2.78 2.74 2.48 2.14 1.90 1.86 2.02 2.28 2.51 2.67 2.79 2.97 3.29 3.72 4.12 4.29 4.10 3.56 2.85 2.18 1.75 1.59 1.62 1.67 1.61 1.41 1.16 0.97 0.94 1.07 1.27 1.46 1.55 1.53 1.44 1.34 1.28 1.27 1.31 1.36 1.35 1.26 1.08 0.87 0.70 0.66 0.78 1.01 1.23 1.32 1.28 1.17 1.16 1.39 1.89 2.54 3.13 3.47 3.47 3.19 2.82 2.51 2.36 2.31 2.26 2.12 1.91 1.72 1.68 1.86 2.20 2.57 2.78 2.74 2.48 2.14 1.90 1.86 2.02 2.28 2.51 2.67 2.79 2.97 3.29 3.72 4.12 4.29 4.10 3.56 2.85 2.18 1.75 1.59 1.62 1.67 1.61 1.41 1.16 0.97 0.94 1.07 1.27 1.46 1.55 1.53 1.44 1.34 1.28 1.27 1.31 1.36 1.35 1.26 1.08 0.87 0.70 0.66 0.78 1.01 1.23 1.32 1.28 1.17 1.16 1.39 1.89 2.54 3.13 3.47 3.47 3.19 2.82 2.51 2.36 2.31 2.26 2.12 1.91 1.72 1.68 45.0 + 47.5 1.87 2.01 2.30 2.59 2.71 2.59 2.27 1.90 1.64 1.58 1.71 1.92 2.07 2.12 2.12 2.19 2.39 2.71 3.03 3.16 2.99 2.52 1.92 1.38 1.07 1.01 1.10 1.19 1.17 1.01 0.79 0.62 0.58 0.68 0.87 1.07 1.20 1.26 1.25 1.22 1.21 1.26 1.36 1.47 1.54 1.51 1.37 1.18 1.02 0.98 1.10 1.33 1.57 1.69 1.69 1.65 1.73 2.05 2.63 3.35 3.97 4.30 4.27 3.95 3.52 3.14 2.90 2.76 2.63 2.42 2.16 1.93 1.87 2.01 2.30 2.59 2.71 2.59 2.27 1.90 1.64 1.58 1.71 1.92 2.07 2.12 2.12 2.19 2.39 2.71 3.03 3.16 2.99 2.52 1.92 1.38 1.07 1.01 1.10 1.19 1.17 1.01 0.79 0.62 0.58 0.68 0.87 1.07 1.20 1.26 1.25 1.22 1.21 1.26 1.36 1.47 1.54 1.51 1.37 1.18 1.02 0.98 1.10 1.33 1.57 1.69 1.69 1.65 1.73 2.05 2.63 3.35 3.97 4.30 4.27 3.95 3.52 3.14 2.90 2.76 2.63 2.42 2.16 1.93 1.87 47.5 + 50.0 1.96 2.02 2.21 2.40 2.42 2.23 1.88 1.51 1.27 1.24 1.37 1.55 1.66 1.63 1.54 1.50 1.60 1.83 2.07 2.18 2.05 1.67 1.19 0.78 0.57 0.57 0.70 0.82 0.82 0.69 0.48 0.31 0.24 0.29 0.43 0.59 0.73 0.82 0.85 0.87 0.90 0.99 1.14 1.32 1.47 1.52 1.45 1.30 1.17 1.15 1.28 1.53 1.79 1.96 2.02 2.08 2.26 2.68 3.34 4.10 4.73 5.05 4.99 4.65 4.19 3.77 3.47 3.24 3.01 2.72 2.38 2.09 1.96 2.02 2.21 2.40 2.42 2.23 1.88 1.51 1.27 1.24 1.37 1.55 1.66 1.63 1.54 1.50 1.60 1.83 2.07 2.18 2.05 1.67 1.19 0.78 0.57 0.57 0.70 0.82 0.82 0.69 0.48 0.31 0.24 0.29 0.43 0.59 0.73 0.82 0.85 0.87 0.90 0.99 1.14 1.32 1.47 1.52 1.45 1.30 1.17 1.15 1.28 1.53 1.79 1.96 2.02 2.08 2.26 2.68 3.34 4.10 4.73 5.05 4.99 4.65 4.19 3.77 3.47 3.24 3.01 2.72 2.38 2.09 1.96 50.0 + 52.5 1.91 1.87 1.96 2.03 1.97 1.73 1.38 1.04 0.85 0.87 1.03 1.22 1.30 1.25 1.11 1.00 1.04 1.21 1.42 1.52 1.43 1.15 0.78 0.48 0.36 0.41 0.56 0.68 0.68 0.56 0.37 0.19 0.08 0.07 0.14 0.24 0.34 0.41 0.45 0.48 0.53 0.63 0.81 1.03 1.23 1.35 1.34 1.26 1.17 1.18 1.33 1.59 1.88 2.10 2.25 2.41 2.70 3.21 3.92 4.68 5.29 5.58 5.50 5.15 4.69 4.26 3.92 3.63 3.32 2.93 2.50 2.13 1.91 1.87 1.96 2.03 1.97 1.73 1.38 1.04 0.85 0.87 1.03 1.22 1.30 1.25 1.11 1.00 1.04 1.21 1.42 1.52 1.43 1.15 0.78 0.48 0.36 0.41 0.56 0.68 0.68 0.56 0.37 0.19 0.08 0.07 0.14 0.24 0.34 0.41 0.45 0.48 0.53 0.63 0.81 1.03 1.23 1.35 1.34 1.26 1.17 1.18 1.33 1.59 1.88 2.10 2.25 2.41 2.70 3.21 3.92 4.68 5.29 5.58 5.50 5.15 4.69 4.26 3.92 3.63 3.32 2.93 2.50 2.13 1.91 52.5 + 55.0 1.70 1.58 1.57 1.56 1.44 1.18 0.85 0.56 0.44 0.51 0.71 0.91 1.00 0.94 0.79 0.68 0.71 0.86 1.06 1.18 1.13 0.92 0.65 0.45 0.39 0.48 0.63 0.74 0.74 0.63 0.45 0.27 0.14 0.09 0.09 0.13 0.18 0.22 0.23 0.25 0.28 0.38 0.55 0.78 0.99 1.13 1.17 1.12 1.07 1.11 1.29 1.57 1.88 2.15 2.38 2.64 3.02 3.59 4.31 5.02 5.56 5.78 5.68 5.34 4.90 4.49 4.14 3.81 3.43 2.96 2.46 2.01 1.70 1.58 1.57 1.56 1.44 1.18 0.85 0.56 0.44 0.51 0.71 0.91 1.00 0.94 0.79 0.68 0.71 0.86 1.06 1.18 1.13 0.92 0.65 0.45 0.39 0.48 0.63 0.74 0.74 0.63 0.45 0.27 0.14 0.09 0.09 0.13 0.18 0.22 0.23 0.25 0.28 0.38 0.55 0.78 0.99 1.13 1.17 1.12 1.07 1.11 1.29 1.57 1.88 2.15 2.38 2.64 3.02 3.59 4.31 5.02 5.56 5.78 5.68 5.34 4.90 4.49 4.14 3.81 3.43 2.96 2.46 2.01 1.70 55.0 + 57.5 1.37 1.19 1.11 1.05 0.91 0.66 0.36 0.13 0.07 0.18 0.40 0.61 0.70 0.66 0.55 0.48 0.53 0.70 0.91 1.04 1.01 0.85 0.65 0.51 0.51 0.62 0.77 0.87 0.86 0.75 0.59 0.43 0.32 0.27 0.25 0.26 0.27 0.28 0.27 0.27 0.29 0.36 0.50 0.68 0.86 0.98 1.02 0.99 0.97 1.04 1.23 1.52 1.84 2.15 2.44 2.77 3.21 3.78 4.44 5.05 5.47 5.61 5.47 5.15 4.76 4.40 4.07 3.72 3.29 2.78 2.22 1.73 1.37 1.19 1.11 1.05 0.91 0.66 0.36 0.13 0.07 0.18 0.40 0.61 0.70 0.66 0.55 0.48 0.53 0.70 0.91 1.04 1.01 0.85 0.65 0.51 0.51 0.62 0.77 0.87 0.86 0.75 0.59 0.43 0.32 0.27 0.25 0.26 0.27 0.28 0.27 0.27 0.29 0.36 0.50 0.68 0.86 0.98 1.02 0.99 0.97 1.04 1.23 1.52 1.84 2.15 2.44 2.77 3.21 3.78 4.44 5.05 5.47 5.61 5.47 5.15 4.76 4.40 4.07 3.72 3.29 2.78 2.22 1.73 1.37 57.5 + 60.0 0.99 0.78 0.67 0.58 0.43 0.21 0.00 0.00 0.00 0.00 0.10 0.30 0.39 0.38 0.32 0.31 0.42 0.62 0.83 0.95 0.91 0.76 0.59 0.50 0.54 0.67 0.81 0.89 0.87 0.77 0.64 0.54 0.48 0.47 0.48 0.50 0.52 0.53 0.53 0.52 0.54 0.58 0.66 0.77 0.87 0.93 0.93 0.91 0.91 1.00 1.20 1.48 1.80 2.12 2.44 2.80 3.24 3.76 4.30 4.76 5.04 5.07 4.91 4.62 4.30 4.00 3.71 3.38 2.95 2.43 1.87 1.37 0.99 0.78 0.67 0.58 0.43 0.21 0.00 0.00 0.00 0.00 0.10 0.30 0.39 0.38 0.32 0.31 0.42 0.62 0.83 0.95 0.91 0.76 0.59 0.50 0.54 0.67 0.81 0.89 0.87 0.77 0.64 0.54 0.48 0.47 0.48 0.50 0.52 0.53 0.53 0.52 0.54 0.58 0.66 0.77 0.87 0.93 0.93 0.91 0.91 1.00 1.20 1.48 1.80 2.12 2.44 2.80 3.24 3.76 4.30 4.76 5.04 5.07 4.91 4.62 4.30 4.00 3.71 3.38 2.95 2.43 1.87 1.37 0.99 60.0 + 62.5 0.67 0.44 0.31 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.12 0.11 0.16 0.32 0.54 0.74 0.82 0.75 0.58 0.42 0.35 0.41 0.55 0.69 0.75 0.72 0.64 0.55 0.52 0.54 0.59 0.66 0.73 0.78 0.82 0.86 0.89 0.91 0.92 0.94 0.96 0.96 0.94 0.90 0.87 0.90 1.00 1.21 1.47 1.77 2.08 2.39 2.73 3.12 3.54 3.94 4.22 4.35 4.29 4.11 3.87 3.63 3.42 3.19 2.91 2.52 2.04 1.52 1.04 0.67 0.44 0.31 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.11 0.12 0.11 0.16 0.32 0.54 0.74 0.82 0.75 0.58 0.42 0.35 0.41 0.55 0.69 0.75 0.72 0.64 0.55 0.52 0.54 0.59 0.66 0.73 0.78 0.82 0.86 0.89 0.91 0.92 0.94 0.96 0.96 0.94 0.90 0.87 0.90 1.00 1.21 1.47 1.77 2.08 2.39 2.73 3.12 3.54 3.94 4.22 4.35 4.29 4.11 3.87 3.63 3.42 3.19 2.91 2.52 2.04 1.52 1.04 0.67 62.5 + 65.0 0.52 0.27 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.48 0.65 0.68 0.56 0.36 0.19 0.13 0.20 0.34 0.47 0.53 0.50 0.44 0.40 0.42 0.50 0.61 0.74 0.85 0.96 1.06 1.16 1.24 1.28 1.27 1.23 1.15 1.06 0.97 0.90 0.88 0.93 1.06 1.26 1.51 1.78 2.04 2.32 2.62 2.93 3.23 3.47 3.59 3.58 3.45 3.27 3.09 2.94 2.81 2.67 2.47 2.16 1.76 1.31 0.88 0.52 0.27 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.48 0.65 0.68 0.56 0.36 0.19 0.13 0.20 0.34 0.47 0.53 0.50 0.44 0.40 0.42 0.50 0.61 0.74 0.85 0.96 1.06 1.16 1.24 1.28 1.27 1.23 1.15 1.06 0.97 0.90 0.88 0.93 1.06 1.26 1.51 1.78 2.04 2.32 2.62 2.93 3.23 3.47 3.59 3.58 3.45 3.27 3.09 2.94 2.81 2.67 2.47 2.16 1.76 1.31 0.88 0.52 65.0 + 67.5 0.60 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.61 0.60 0.45 0.23 0.06 0.00 0.07 0.21 0.33 0.38 0.36 0.32 0.30 0.36 0.46 0.60 0.74 0.88 1.04 1.20 1.37 1.50 1.57 1.55 1.46 1.32 1.16 1.03 0.95 0.96 1.04 1.20 1.40 1.63 1.85 2.08 2.31 2.54 2.76 2.94 3.04 3.03 2.92 2.75 2.59 2.46 2.39 2.35 2.30 2.18 1.98 1.69 1.33 0.95 0.60 0.33 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.28 0.49 0.61 0.60 0.45 0.23 0.06 0.00 0.07 0.21 0.33 0.38 0.36 0.32 0.30 0.36 0.46 0.60 0.74 0.88 1.04 1.20 1.37 1.50 1.57 1.55 1.46 1.32 1.16 1.03 0.95 0.96 1.04 1.20 1.40 1.63 1.85 2.08 2.31 2.54 2.76 2.94 3.04 3.03 2.92 2.75 2.59 2.46 2.39 2.35 2.30 2.18 1.98 1.69 1.33 0.95 0.60 67.5 + 70.0 0.91 0.60 0.35 0.17 0.06 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.13 0.13 0.17 0.27 0.44 0.61 0.71 0.67 0.52 0.31 0.16 0.11 0.17 0.29 0.39 0.43 0.41 0.38 0.38 0.43 0.51 0.62 0.74 0.89 1.07 1.30 1.53 1.71 1.81 1.79 1.67 1.49 1.30 1.17 1.11 1.14 1.26 1.44 1.65 1.85 2.04 2.22 2.39 2.55 2.69 2.78 2.77 2.68 2.51 2.33 2.18 2.09 2.07 2.09 2.11 2.10 2.00 1.83 1.57 1.25 0.91 0.60 0.35 0.17 0.06 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.13 0.13 0.17 0.27 0.44 0.61 0.71 0.67 0.52 0.31 0.16 0.11 0.17 0.29 0.39 0.43 0.41 0.38 0.38 0.43 0.51 0.62 0.74 0.89 1.07 1.30 1.53 1.71 1.81 1.79 1.67 1.49 1.30 1.17 1.11 1.14 1.26 1.44 1.65 1.85 2.04 2.22 2.39 2.55 2.69 2.78 2.77 2.68 2.51 2.33 2.18 2.09 2.07 2.09 2.11 2.10 2.00 1.83 1.57 1.25 0.91 70.0 + 72.5 1.34 1.01 0.72 0.52 0.40 0.35 0.34 0.36 0.40 0.44 0.48 0.50 0.49 0.48 0.50 0.58 0.71 0.84 0.92 0.89 0.77 0.61 0.49 0.45 0.49 0.57 0.64 0.66 0.64 0.61 0.59 0.61 0.65 0.70 0.79 0.93 1.14 1.41 1.69 1.92 2.04 2.03 1.91 1.73 1.56 1.44 1.41 1.47 1.61 1.80 2.00 2.18 2.33 2.45 2.56 2.65 2.72 2.73 2.67 2.54 2.36 2.18 2.04 1.96 1.96 2.01 2.08 2.15 2.16 2.09 1.93 1.66 1.34 1.01 0.72 0.52 0.40 0.35 0.34 0.36 0.40 0.44 0.48 0.50 0.49 0.48 0.50 0.58 0.71 0.84 0.92 0.89 0.77 0.61 0.49 0.45 0.49 0.57 0.64 0.66 0.64 0.61 0.59 0.61 0.65 0.70 0.79 0.93 1.14 1.41 1.69 1.92 2.04 2.03 1.91 1.73 1.56 1.44 1.41 1.47 1.61 1.80 2.00 2.18 2.33 2.45 2.56 2.65 2.72 2.73 2.67 2.54 2.36 2.18 2.04 1.96 1.96 2.01 2.08 2.15 2.16 2.09 1.93 1.66 1.34 72.5 + 75.0 1.74 1.41 1.11 0.90 0.78 0.73 0.73 0.75 0.78 0.82 0.86 0.88 0.88 0.86 0.86 0.89 0.97 1.07 1.14 1.15 1.09 0.99 0.90 0.85 0.86 0.89 0.91 0.90 0.87 0.83 0.79 0.78 0.77 0.80 0.87 1.03 1.27 1.58 1.90 2.16 2.29 2.30 2.21 2.06 1.93 1.84 1.82 1.89 2.02 2.18 2.36 2.50 2.61 2.67 2.70 2.72 2.72 2.70 2.63 2.51 2.34 2.17 2.03 1.94 1.92 1.97 2.07 2.20 2.30 2.33 2.25 2.04 1.74 1.41 1.11 0.90 0.78 0.73 0.73 0.75 0.78 0.82 0.86 0.88 0.88 0.86 0.86 0.89 0.97 1.07 1.14 1.15 1.09 0.99 0.90 0.85 0.86 0.89 0.91 0.90 0.87 0.83 0.79 0.78 0.77 0.80 0.87 1.03 1.27 1.58 1.90 2.16 2.29 2.30 2.21 2.06 1.93 1.84 1.82 1.89 2.02 2.18 2.36 2.50 2.61 2.67 2.70 2.72 2.72 2.70 2.63 2.51 2.34 2.17 2.03 1.94 1.92 1.97 2.07 2.20 2.30 2.33 2.25 2.04 1.74 75.0 + 77.5 1.97 1.67 1.39 1.18 1.05 0.99 0.96 0.95 0.96 1.00 1.06 1.11 1.13 1.11 1.06 1.03 1.05 1.12 1.20 1.26 1.27 1.22 1.15 1.09 1.04 1.02 1.00 0.96 0.91 0.86 0.82 0.79 0.79 0.84 0.96 1.18 1.48 1.82 2.15 2.39 2.53 2.54 2.49 2.39 2.29 2.23 2.20 2.23 2.31 2.43 2.57 2.67 2.72 2.71 2.66 2.59 2.54 2.51 2.46 2.39 2.27 2.12 1.96 1.84 1.78 1.82 1.94 2.11 2.29 2.40 2.38 2.23 1.97 1.67 1.39 1.18 1.05 0.99 0.96 0.95 0.96 1.00 1.06 1.11 1.13 1.11 1.06 1.03 1.05 1.12 1.20 1.26 1.27 1.22 1.15 1.09 1.04 1.02 1.00 0.96 0.91 0.86 0.82 0.79 0.79 0.84 0.96 1.18 1.48 1.82 2.15 2.39 2.53 2.54 2.49 2.39 2.29 2.23 2.20 2.23 2.31 2.43 2.57 2.67 2.72 2.71 2.66 2.59 2.54 2.51 2.46 2.39 2.27 2.12 1.96 1.84 1.78 1.82 1.94 2.11 2.29 2.40 2.38 2.23 1.97 77.5 + 80.0 1.94 1.69 1.45 1.27 1.13 1.02 0.93 0.87 0.85 0.90 0.99 1.08 1.12 1.09 1.00 0.90 0.86 0.89 0.99 1.10 1.16 1.15 1.08 0.98 0.89 0.82 0.77 0.72 0.68 0.63 0.60 0.60 0.65 0.79 1.02 1.34 1.71 2.06 2.35 2.54 2.63 2.63 2.60 2.54 2.48 2.40 2.34 2.30 2.31 2.38 2.47 2.53 2.52 2.43 2.28 2.14 2.05 2.03 2.04 2.04 1.98 1.86 1.69 1.52 1.44 1.46 1.60 1.82 2.05 2.21 2.25 2.15 1.94 1.69 1.45 1.27 1.13 1.02 0.93 0.87 0.85 0.90 0.99 1.08 1.12 1.09 1.00 0.90 0.86 0.89 0.99 1.10 1.16 1.15 1.08 0.98 0.89 0.82 0.77 0.72 0.68 0.63 0.60 0.60 0.65 0.79 1.02 1.34 1.71 2.06 2.35 2.54 2.63 2.63 2.60 2.54 2.48 2.40 2.34 2.30 2.31 2.38 2.47 2.53 2.52 2.43 2.28 2.14 2.05 2.03 2.04 2.04 1.98 1.86 1.69 1.52 1.44 1.46 1.60 1.82 2.05 2.21 2.25 2.15 1.94 80.0 + 82.5 1.68 1.49 1.31 1.15 0.99 0.83 0.67 0.54 0.48 0.53 0.65 0.79 0.85 0.80 0.65 0.48 0.38 0.39 0.51 0.66 0.76 0.77 0.69 0.56 0.44 0.35 0.31 0.28 0.26 0.24 0.24 0.29 0.45 0.72 1.09 1.51 1.92 2.24 2.43 2.50 2.49 2.44 2.40 2.36 2.30 2.21 2.09 1.98 1.92 1.93 1.99 2.02 1.96 1.80 1.58 1.38 1.27 1.28 1.37 1.45 1.46 1.36 1.18 0.99 0.88 0.91 1.08 1.34 1.61 1.81 1.88 1.83 1.68 1.49 1.31 1.15 0.99 0.83 0.67 0.54 0.48 0.53 0.65 0.79 0.85 0.80 0.65 0.48 0.38 0.39 0.51 0.66 0.76 0.77 0.69 0.56 0.44 0.35 0.31 0.28 0.26 0.24 0.24 0.29 0.45 0.72 1.09 1.51 1.92 2.24 2.43 2.50 2.49 2.44 2.40 2.36 2.30 2.21 2.09 1.98 1.92 1.93 1.99 2.02 1.96 1.80 1.58 1.38 1.27 1.28 1.37 1.45 1.46 1.36 1.18 0.99 0.88 0.91 1.08 1.34 1.61 1.81 1.88 1.83 1.68 82.5 + 85.0 1.29 1.17 1.05 0.91 0.74 0.52 0.28 0.09 0.00 0.05 0.21 0.37 0.44 0.36 0.16 0.00 0.00 0.00 0.00 0.11 0.26 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.34 0.72 1.20 1.69 2.07 2.29 2.32 2.22 2.07 1.94 1.86 1.82 1.75 1.63 1.46 1.30 1.20 1.18 1.23 1.25 1.17 0.97 0.70 0.46 0.36 0.42 0.59 0.76 0.83 0.75 0.57 0.36 0.25 0.30 0.50 0.80 1.10 1.31 1.41 1.39 1.29 1.17 1.05 0.91 0.74 0.52 0.28 0.09 0.00 0.05 0.21 0.37 0.44 0.36 0.16 0.00 0.00 0.00 0.00 0.11 0.26 0.28 0.19 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.34 0.72 1.20 1.69 2.07 2.29 2.32 2.22 2.07 1.94 1.86 1.82 1.75 1.63 1.46 1.30 1.20 1.18 1.23 1.25 1.17 0.97 0.70 0.46 0.36 0.42 0.59 0.76 0.83 0.75 0.57 0.36 0.25 0.30 0.50 0.80 1.10 1.31 1.41 1.39 1.29 85.0 + 87.5 0.96 0.90 0.83 0.71 0.51 0.25 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.46 0.91 1.42 1.88 2.16 2.22 2.06 1.78 1.47 1.25 1.12 1.05 0.98 0.85 0.66 0.49 0.38 0.39 0.45 0.49 0.41 0.19 0.00 0.00 0.00 0.00 0.00 0.18 0.29 0.22 0.04 0.00 0.00 0.00 0.04 0.36 0.67 0.89 1.00 1.01 0.96 0.90 0.83 0.71 0.51 0.25 0.00 0.00 0.00 0.00 0.00 0.04 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.46 0.91 1.42 1.88 2.16 2.22 2.06 1.78 1.47 1.25 1.12 1.05 0.98 0.85 0.66 0.49 0.38 0.39 0.45 0.49 0.41 0.19 0.00 0.00 0.00 0.00 0.00 0.18 0.29 0.22 0.04 0.00 0.00 0.00 0.04 0.36 0.67 0.89 1.00 1.01 0.96 87.5 + 90.0 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 90.0 + + 77.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.95 ) PHI2 = 78. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 0.0 + 2.5 1.31 1.55 1.81 2.05 2.23 2.31 2.25 2.08 1.85 1.59 1.35 1.13 0.91 0.70 0.53 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.38 0.41 0.41 0.45 0.54 0.70 0.89 1.11 1.33 1.57 1.80 2.02 2.18 2.23 2.16 1.99 1.77 1.52 1.29 1.06 0.85 0.66 0.51 0.43 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 1.31 1.55 1.81 2.05 2.23 2.31 2.25 2.08 1.85 1.59 1.35 1.13 0.91 0.70 0.53 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.05 0.26 0.38 0.41 0.41 0.45 0.54 0.70 0.89 1.11 1.33 1.57 1.80 2.02 2.18 2.23 2.16 1.99 1.77 1.52 1.29 1.06 0.85 0.66 0.51 0.43 0.40 0.41 0.39 0.28 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.34 0.35 0.35 0.39 0.49 0.66 0.86 1.08 1.31 2.5 + 5.0 1.22 1.50 1.81 2.12 2.36 2.47 2.42 2.24 1.97 1.68 1.40 1.14 0.91 0.69 0.51 0.37 0.31 0.31 0.31 0.26 0.14 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.47 0.46 0.51 0.64 0.82 1.05 1.30 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0.52 0.78 10.0 + 12.5 0.46 0.81 1.26 1.75 2.18 2.45 2.49 2.33 2.04 1.72 1.46 1.26 1.12 0.98 0.82 0.65 0.52 0.48 0.51 0.57 0.58 0.48 0.27 0.04 0.00 0.00 0.01 0.22 0.39 0.45 0.37 0.20 0.06 0.02 0.13 0.38 0.69 1.00 1.23 1.36 1.39 1.34 1.24 1.10 0.92 0.68 0.40 0.12 0.00 0.00 0.00 0.03 0.20 0.28 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.10 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.46 0.81 1.26 1.75 2.18 2.45 2.49 2.33 2.04 1.72 1.46 1.26 1.12 0.98 0.82 0.65 0.52 0.48 0.51 0.57 0.58 0.48 0.27 0.04 0.00 0.00 0.01 0.22 0.39 0.45 0.37 0.20 0.06 0.02 0.13 0.38 0.69 1.00 1.23 1.36 1.39 1.34 1.24 1.10 0.92 0.68 0.40 0.12 0.00 0.00 0.00 0.03 0.20 0.28 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.10 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.24 0.46 12.5 + 15.0 0.17 0.50 0.95 1.46 1.92 2.21 2.28 2.15 1.90 1.64 1.45 1.34 1.27 1.18 1.04 0.85 0.69 0.61 0.62 0.68 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.16 0.36 0.43 0.34 0.14 0.00 0.00 0.00 0.22 0.54 0.84 1.05 1.13 1.13 1.06 0.98 0.88 0.74 0.54 0.27 0.00 0.00 0.00 0.00 0.00 0.14 0.19 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.50 0.95 1.46 1.92 2.21 2.28 2.15 1.90 1.64 1.45 1.34 1.27 1.18 1.04 0.85 0.69 0.61 0.62 0.68 0.69 0.59 0.36 0.08 0.00 0.00 0.00 0.16 0.36 0.43 0.34 0.14 0.00 0.00 0.00 0.22 0.54 0.84 1.05 1.13 1.13 1.06 0.98 0.88 0.74 0.54 0.27 0.00 0.00 0.00 0.00 0.00 0.14 0.19 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.17 15.0 + 17.5 0.00 0.28 0.74 1.25 1.71 2.00 2.08 1.98 1.78 1.58 1.47 1.43 1.43 1.37 1.23 1.02 0.81 0.70 0.69 0.75 0.76 0.66 0.42 0.11 0.00 0.00 0.00 0.21 0.43 0.51 0.42 0.20 0.00 0.00 0.01 0.26 0.58 0.87 1.04 1.09 1.05 0.98 0.91 0.85 0.74 0.57 0.32 0.05 0.00 0.00 0.00 0.08 0.24 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.28 0.74 1.25 1.71 2.00 2.08 1.98 1.78 1.58 1.47 1.43 1.43 1.37 1.23 1.02 0.81 0.70 0.69 0.75 0.76 0.66 0.42 0.11 0.00 0.00 0.00 0.21 0.43 0.51 0.42 0.20 0.00 0.00 0.01 0.26 0.58 0.87 1.04 1.09 1.05 0.98 0.91 0.85 0.74 0.57 0.32 0.05 0.00 0.00 0.00 0.08 0.24 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.04 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 17.5 + 20.0 0.00 0.22 0.68 1.19 1.63 1.90 1.97 1.88 1.71 1.58 1.53 1.56 1.59 1.54 1.37 1.12 0.88 0.75 0.74 0.80 0.83 0.73 0.49 0.19 0.00 0.00 0.10 0.37 0.60 0.68 0.57 0.36 0.16 0.09 0.21 0.48 0.80 1.06 1.21 1.23 1.18 1.10 1.05 1.00 0.92 0.76 0.52 0.26 0.07 0.03 0.16 0.37 0.53 0.52 0.32 0.01 0.00 0.00 0.00 0.00 0.21 0.32 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.22 0.68 1.19 1.63 1.90 1.97 1.88 1.71 1.58 1.53 1.56 1.59 1.54 1.37 1.12 0.88 0.75 0.74 0.80 0.83 0.73 0.49 0.19 0.00 0.00 0.10 0.37 0.60 0.68 0.57 0.36 0.16 0.09 0.21 0.48 0.80 1.06 1.21 1.23 1.18 1.10 1.05 1.00 0.92 0.76 0.52 0.26 0.07 0.03 0.16 0.37 0.53 0.52 0.32 0.01 0.00 0.00 0.00 0.00 0.21 0.32 0.25 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 20.0 + 22.5 0.01 0.31 0.77 1.27 1.67 1.91 1.94 1.85 1.72 1.64 1.66 1.73 1.76 1.69 1.49 1.21 0.96 0.84 0.85 0.92 0.96 0.85 0.61 0.32 0.13 0.12 0.30 0.57 0.78 0.83 0.71 0.49 0.32 0.29 0.45 0.73 1.05 1.29 1.42 1.42 1.37 1.30 1.26 1.22 1.15 0.99 0.76 0.51 0.35 0.34 0.50 0.74 0.91 0.91 0.71 0.41 0.16 0.09 0.23 0.49 0.70 0.76 0.63 0.39 0.16 0.04 0.04 0.08 0.09 0.02 0.00 0.00 0.01 0.31 0.77 1.27 1.67 1.91 1.94 1.85 1.72 1.64 1.66 1.73 1.76 1.69 1.49 1.21 0.96 0.84 0.85 0.92 0.96 0.85 0.61 0.32 0.13 0.12 0.30 0.57 0.78 0.83 0.71 0.49 0.32 0.29 0.45 0.73 1.05 1.29 1.42 1.42 1.37 1.30 1.26 1.22 1.15 0.99 0.76 0.51 0.35 0.34 0.50 0.74 0.91 0.91 0.71 0.41 0.16 0.09 0.23 0.49 0.70 0.76 0.63 0.39 0.16 0.04 0.04 0.08 0.09 0.02 0.00 0.00 0.01 22.5 + 25.0 0.17 0.48 0.93 1.40 1.76 1.94 1.94 1.84 1.75 1.73 1.82 1.93 1.97 1.89 1.67 1.40 1.18 1.10 1.15 1.24 1.25 1.11 0.83 0.52 0.32 0.32 0.49 0.72 0.88 0.87 0.72 0.50 0.36 0.38 0.56 0.85 1.15 1.37 1.47 1.47 1.43 1.38 1.35 1.33 1.26 1.11 0.89 0.67 0.54 0.57 0.77 1.03 1.23 1.24 1.06 0.80 0.59 0.57 0.75 1.02 1.22 1.23 1.04 0.75 0.49 0.35 0.34 0.37 0.36 0.26 0.13 0.07 0.17 0.48 0.93 1.40 1.76 1.94 1.94 1.84 1.75 1.73 1.82 1.93 1.97 1.89 1.67 1.40 1.18 1.10 1.15 1.24 1.25 1.11 0.83 0.52 0.32 0.32 0.49 0.72 0.88 0.87 0.72 0.50 0.36 0.38 0.56 0.85 1.15 1.37 1.47 1.47 1.43 1.38 1.35 1.33 1.26 1.11 0.89 0.67 0.54 0.57 0.77 1.03 1.23 1.24 1.06 0.80 0.59 0.57 0.75 1.02 1.22 1.23 1.04 0.75 0.49 0.35 0.34 0.37 0.36 0.26 0.13 0.07 0.17 25.0 + 27.5 0.36 0.65 1.08 1.51 1.82 1.94 1.90 1.80 1.76 1.82 1.99 2.16 2.24 2.17 1.98 1.77 1.64 1.64 1.75 1.84 1.79 1.55 1.17 0.78 0.54 0.51 0.64 0.81 0.88 0.79 0.59 0.37 0.26 0.31 0.51 0.78 1.03 1.20 1.27 1.26 1.23 1.21 1.20 1.19 1.13 0.99 0.79 0.61 0.52 0.59 0.82 1.11 1.32 1.35 1.19 0.96 0.81 0.85 1.08 1.38 1.59 1.59 1.37 1.06 0.79 0.66 0.66 0.70 0.68 0.56 0.39 0.29 0.36 0.65 1.08 1.51 1.82 1.94 1.90 1.80 1.76 1.82 1.99 2.16 2.24 2.17 1.98 1.77 1.64 1.64 1.75 1.84 1.79 1.55 1.17 0.78 0.54 0.51 0.64 0.81 0.88 0.79 0.59 0.37 0.26 0.31 0.51 0.78 1.03 1.20 1.27 1.26 1.23 1.21 1.20 1.19 1.13 0.99 0.79 0.61 0.52 0.59 0.82 1.11 1.32 1.35 1.19 0.96 0.81 0.85 1.08 1.38 1.59 1.59 1.37 1.06 0.79 0.66 0.66 0.70 0.68 0.56 0.39 0.29 0.36 27.5 + 30.0 0.54 0.79 1.18 1.57 1.83 1.89 1.82 1.73 1.73 1.89 2.15 2.41 2.55 2.55 2.45 2.35 2.36 2.49 2.67 2.73 2.58 2.18 1.65 1.15 0.83 0.73 0.80 0.88 0.85 0.67 0.42 0.20 0.11 0.18 0.37 0.60 0.77 0.86 0.87 0.84 0.81 0.80 0.81 0.81 0.77 0.65 0.48 0.34 0.29 0.39 0.64 0.93 1.14 1.17 1.03 0.83 0.72 0.82 1.12 1.48 1.72 1.74 1.55 1.25 1.01 0.92 0.97 1.04 1.02 0.87 0.65 0.50 0.54 0.79 1.18 1.57 1.83 1.89 1.82 1.73 1.73 1.89 2.15 2.41 2.55 2.55 2.45 2.35 2.36 2.49 2.67 2.73 2.58 2.18 1.65 1.15 0.83 0.73 0.80 0.88 0.85 0.67 0.42 0.20 0.11 0.18 0.37 0.60 0.77 0.86 0.87 0.84 0.81 0.80 0.81 0.81 0.77 0.65 0.48 0.34 0.29 0.39 0.64 0.93 1.14 1.17 1.03 0.83 0.72 0.82 1.12 1.48 1.72 1.74 1.55 1.25 1.01 0.92 0.97 1.04 1.02 0.87 0.65 0.50 0.54 30.0 + 32.5 0.69 0.91 1.27 1.62 1.83 1.84 1.74 1.65 1.70 1.94 2.29 2.64 2.88 2.97 3.00 3.07 3.25 3.53 3.77 3.80 3.52 2.94 2.24 1.60 1.19 1.04 1.04 1.04 0.91 0.66 0.36 0.14 0.07 0.16 0.33 0.48 0.55 0.54 0.47 0.39 0.35 0.35 0.37 0.38 0.34 0.23 0.09 0.00 0.00 0.07 0.32 0.60 0.79 0.80 0.66 0.48 0.41 0.57 0.94 1.38 1.69 1.76 1.61 1.36 1.17 1.13 1.23 1.33 1.32 1.15 0.89 0.69 0.69 0.91 1.27 1.62 1.83 1.84 1.74 1.65 1.70 1.94 2.29 2.64 2.88 2.97 3.00 3.07 3.25 3.53 3.77 3.80 3.52 2.94 2.24 1.60 1.19 1.04 1.04 1.04 0.91 0.66 0.36 0.14 0.07 0.16 0.33 0.48 0.55 0.54 0.47 0.39 0.35 0.35 0.37 0.38 0.34 0.23 0.09 0.00 0.00 0.07 0.32 0.60 0.79 0.80 0.66 0.48 0.41 0.57 0.94 1.38 1.69 1.76 1.61 1.36 1.17 1.13 1.23 1.33 1.32 1.15 0.89 0.69 0.69 32.5 + 35.0 0.85 1.06 1.41 1.74 1.91 1.88 1.73 1.63 1.70 1.98 2.40 2.82 3.13 3.34 3.50 3.74 4.11 4.53 4.83 4.82 4.41 3.68 2.82 2.08 1.62 1.44 1.40 1.34 1.14 0.84 0.52 0.31 0.27 0.36 0.51 0.59 0.57 0.45 0.29 0.16 0.09 0.08 0.10 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.30 0.47 0.46 0.30 0.12 0.09 0.31 0.75 1.27 1.66 1.79 1.68 1.47 1.31 1.31 1.44 1.57 1.56 1.37 1.09 0.87 0.85 1.06 1.41 1.74 1.91 1.88 1.73 1.63 1.70 1.98 2.40 2.82 3.13 3.34 3.50 3.74 4.11 4.53 4.83 4.82 4.41 3.68 2.82 2.08 1.62 1.44 1.40 1.34 1.14 0.84 0.52 0.31 0.27 0.36 0.51 0.59 0.57 0.45 0.29 0.16 0.09 0.08 0.10 0.11 0.06 0.00 0.00 0.00 0.00 0.00 0.03 0.30 0.47 0.46 0.30 0.12 0.09 0.31 0.75 1.27 1.66 1.79 1.68 1.47 1.31 1.31 1.44 1.57 1.56 1.37 1.09 0.87 0.85 35.0 + 37.5 1.05 1.28 1.65 1.98 2.11 2.03 1.84 1.69 1.74 2.02 2.45 2.90 3.26 3.53 3.81 4.19 4.70 5.22 5.56 5.52 5.02 4.18 3.24 2.46 2.00 1.82 1.79 1.71 1.48 1.15 0.83 0.64 0.64 0.76 0.90 0.94 0.85 0.66 0.44 0.27 0.17 0.15 0.16 0.16 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.33 0.15 0.00 0.00 0.25 0.77 1.37 1.82 1.99 1.90 1.69 1.52 1.52 1.64 1.76 1.74 1.55 1.26 1.05 1.05 1.28 1.65 1.98 2.11 2.03 1.84 1.69 1.74 2.02 2.45 2.90 3.26 3.53 3.81 4.19 4.70 5.22 5.56 5.52 5.02 4.18 3.24 2.46 2.00 1.82 1.79 1.71 1.48 1.15 0.83 0.64 0.64 0.76 0.90 0.94 0.85 0.66 0.44 0.27 0.17 0.15 0.16 0.16 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.35 0.33 0.15 0.00 0.00 0.25 0.77 1.37 1.82 1.99 1.90 1.69 1.52 1.52 1.64 1.76 1.74 1.55 1.26 1.05 1.05 37.5 + 40.0 1.29 1.57 1.97 2.30 2.41 2.28 2.01 1.80 1.79 2.03 2.43 2.85 3.21 3.50 3.82 4.26 4.84 5.42 5.78 5.70 5.16 4.28 3.33 2.58 2.17 2.05 2.05 1.98 1.75 1.42 1.12 0.98 1.02 1.18 1.33 1.38 1.28 1.07 0.83 0.65 0.55 0.53 0.54 0.54 0.46 0.30 0.09 0.00 0.00 0.00 0.15 0.40 0.54 0.50 0.32 0.16 0.19 0.53 1.12 1.78 2.28 2.47 2.35 2.09 1.86 1.79 1.86 1.94 1.89 1.69 1.42 1.25 1.29 1.57 1.97 2.30 2.41 2.28 2.01 1.80 1.79 2.03 2.43 2.85 3.21 3.50 3.82 4.26 4.84 5.42 5.78 5.70 5.16 4.28 3.33 2.58 2.17 2.05 2.05 1.98 1.75 1.42 1.12 0.98 1.02 1.18 1.33 1.38 1.28 1.07 0.83 0.65 0.55 0.53 0.54 0.54 0.46 0.30 0.09 0.00 0.00 0.00 0.15 0.40 0.54 0.50 0.32 0.16 0.19 0.53 1.12 1.78 2.28 2.47 2.35 2.09 1.86 1.79 1.86 1.94 1.89 1.69 1.42 1.25 1.29 40.0 + 42.5 1.55 1.88 2.30 2.62 2.69 2.50 2.17 1.89 1.82 2.00 2.33 2.69 2.99 3.23 3.52 3.95 4.52 5.08 5.41 5.32 4.76 3.90 3.01 2.34 2.02 1.97 2.03 1.99 1.79 1.48 1.21 1.10 1.18 1.38 1.58 1.66 1.60 1.43 1.23 1.07 1.00 1.01 1.05 1.06 0.99 0.82 0.58 0.36 0.26 0.34 0.56 0.81 0.96 0.92 0.76 0.63 0.71 1.12 1.79 2.50 3.02 3.19 3.03 2.68 2.36 2.19 2.16 2.16 2.07 1.85 1.60 1.46 1.55 1.88 2.30 2.62 2.69 2.50 2.17 1.89 1.82 2.00 2.33 2.69 2.99 3.23 3.52 3.95 4.52 5.08 5.41 5.32 4.76 3.90 3.01 2.34 2.02 1.97 2.03 1.99 1.79 1.48 1.21 1.10 1.18 1.38 1.58 1.66 1.60 1.43 1.23 1.07 1.00 1.01 1.05 1.06 0.99 0.82 0.58 0.36 0.26 0.34 0.56 0.81 0.96 0.92 0.76 0.63 0.71 1.12 1.79 2.50 3.02 3.19 3.03 2.68 2.36 2.19 2.16 2.16 2.07 1.85 1.60 1.46 1.55 42.5 + 45.0 1.79 2.12 2.53 2.82 2.84 2.59 2.20 1.88 1.76 1.89 2.17 2.45 2.66 2.81 3.00 3.34 3.82 4.31 4.58 4.47 3.94 3.15 2.35 1.79 1.57 1.60 1.70 1.70 1.53 1.25 1.01 0.92 1.02 1.25 1.48 1.62 1.62 1.53 1.40 1.30 1.28 1.34 1.43 1.49 1.46 1.30 1.06 0.83 0.72 0.79 1.02 1.29 1.45 1.44 1.31 1.24 1.40 1.89 2.63 3.39 3.93 4.07 3.84 3.40 2.98 2.69 2.56 2.47 2.31 2.06 1.80 1.68 1.79 2.12 2.53 2.82 2.84 2.59 2.20 1.88 1.76 1.89 2.17 2.45 2.66 2.81 3.00 3.34 3.82 4.31 4.58 4.47 3.94 3.15 2.35 1.79 1.57 1.60 1.70 1.70 1.53 1.25 1.01 0.92 1.02 1.25 1.48 1.62 1.62 1.53 1.40 1.30 1.28 1.34 1.43 1.49 1.46 1.30 1.06 0.83 0.72 0.79 1.02 1.29 1.45 1.44 1.31 1.24 1.40 1.89 2.63 3.39 3.93 4.07 3.84 3.40 2.98 2.69 2.56 2.47 2.31 2.06 1.80 1.68 1.79 45.0 + 47.5 1.95 2.24 2.59 2.81 2.78 2.48 2.07 1.73 1.61 1.72 1.96 2.18 2.29 2.33 2.40 2.61 2.96 3.34 3.55 3.43 2.95 2.25 1.57 1.12 0.98 1.07 1.20 1.23 1.08 0.83 0.61 0.53 0.62 0.83 1.07 1.24 1.31 1.29 1.24 1.21 1.25 1.37 1.52 1.64 1.67 1.56 1.35 1.14 1.04 1.13 1.37 1.65 1.85 1.88 1.82 1.82 2.08 2.66 3.47 4.28 4.81 4.93 4.65 4.14 3.64 3.26 3.03 2.85 2.61 2.31 2.01 1.86 1.95 2.24 2.59 2.81 2.78 2.48 2.07 1.73 1.61 1.72 1.96 2.18 2.29 2.33 2.40 2.61 2.96 3.34 3.55 3.43 2.95 2.25 1.57 1.12 0.98 1.07 1.20 1.23 1.08 0.83 0.61 0.53 0.62 0.83 1.07 1.24 1.31 1.29 1.24 1.21 1.25 1.37 1.52 1.64 1.67 1.56 1.35 1.14 1.04 1.13 1.37 1.65 1.85 1.88 1.82 1.82 2.08 2.66 3.47 4.28 4.81 4.93 4.65 4.14 3.64 3.26 3.03 2.85 2.61 2.31 2.01 1.86 1.95 47.5 + 50.0 2.00 2.21 2.47 2.61 2.50 2.18 1.77 1.46 1.37 1.49 1.72 1.91 1.95 1.90 1.85 1.93 2.16 2.44 2.60 2.48 2.06 1.47 0.91 0.56 0.49 0.61 0.76 0.80 0.68 0.45 0.23 0.13 0.18 0.35 0.55 0.72 0.82 0.85 0.85 0.87 0.95 1.11 1.31 1.50 1.59 1.54 1.39 1.22 1.15 1.26 1.52 1.83 2.05 2.14 2.16 2.27 2.64 3.31 4.17 4.99 5.51 5.60 5.29 4.77 4.23 3.81 3.51 3.25 2.94 2.56 2.20 1.99 2.00 2.21 2.47 2.61 2.50 2.18 1.77 1.46 1.37 1.49 1.72 1.91 1.95 1.90 1.85 1.93 2.16 2.44 2.60 2.48 2.06 1.47 0.91 0.56 0.49 0.61 0.76 0.80 0.68 0.45 0.23 0.13 0.18 0.35 0.55 0.72 0.82 0.85 0.85 0.87 0.95 1.11 1.31 1.50 1.59 1.54 1.39 1.22 1.15 1.26 1.52 1.83 2.05 2.14 2.16 2.27 2.64 3.31 4.17 4.99 5.51 5.60 5.29 4.77 4.23 3.81 3.51 3.25 2.94 2.56 2.20 1.99 2.00 50.0 + 52.5 1.94 2.04 2.20 2.25 2.09 1.76 1.38 1.11 1.07 1.23 1.47 1.64 1.65 1.54 1.42 1.41 1.56 1.78 1.91 1.82 1.48 1.00 0.56 0.30 0.29 0.42 0.58 0.61 0.50 0.28 0.06 0.00 0.00 0.02 0.17 0.30 0.38 0.42 0.43 0.47 0.57 0.74 0.96 1.18 1.31 1.32 1.22 1.10 1.08 1.21 1.49 1.82 2.07 2.22 2.33 2.55 3.01 3.74 4.61 5.41 5.89 5.95 5.64 5.14 4.62 4.20 3.88 3.56 3.18 2.74 2.31 2.01 1.94 2.04 2.20 2.25 2.09 1.76 1.38 1.11 1.07 1.23 1.47 1.64 1.65 1.54 1.42 1.41 1.56 1.78 1.91 1.82 1.48 1.00 0.56 0.30 0.29 0.42 0.58 0.61 0.50 0.28 0.06 0.00 0.00 0.02 0.17 0.30 0.38 0.42 0.43 0.47 0.57 0.74 0.96 1.18 1.31 1.32 1.22 1.10 1.08 1.21 1.49 1.82 2.07 2.22 2.33 2.55 3.01 3.74 4.61 5.41 5.89 5.95 5.64 5.14 4.62 4.20 3.88 3.56 3.18 2.74 2.31 2.01 1.94 52.5 + 55.0 1.77 1.77 1.84 1.81 1.62 1.29 0.94 0.73 0.73 0.92 1.18 1.36 1.37 1.25 1.11 1.08 1.20 1.40 1.54 1.49 1.24 0.86 0.53 0.35 0.38 0.53 0.67 0.69 0.57 0.36 0.14 0.00 0.00 0.00 0.07 0.15 0.19 0.21 0.22 0.25 0.33 0.48 0.68 0.89 1.02 1.04 0.98 0.91 0.92 1.08 1.37 1.70 1.97 2.17 2.36 2.65 3.17 3.91 4.75 5.46 5.87 5.90 5.61 5.16 4.71 4.34 4.03 3.70 3.27 2.77 2.28 1.93 1.77 1.77 1.84 1.81 1.62 1.29 0.94 0.73 0.73 0.92 1.18 1.36 1.37 1.25 1.11 1.08 1.20 1.40 1.54 1.49 1.24 0.86 0.53 0.35 0.38 0.53 0.67 0.69 0.57 0.36 0.14 0.00 0.00 0.00 0.07 0.15 0.19 0.21 0.22 0.25 0.33 0.48 0.68 0.89 1.02 1.04 0.98 0.91 0.92 1.08 1.37 1.70 1.97 2.17 2.36 2.65 3.17 3.91 4.75 5.46 5.87 5.90 5.61 5.16 4.71 4.34 4.03 3.70 3.27 2.77 2.28 1.93 1.77 55.0 + 57.5 1.51 1.45 1.43 1.36 1.14 0.82 0.51 0.34 0.37 0.58 0.84 1.03 1.06 0.97 0.87 0.88 1.02 1.24 1.40 1.40 1.20 0.91 0.66 0.56 0.62 0.77 0.90 0.91 0.78 0.58 0.38 0.24 0.19 0.20 0.24 0.28 0.30 0.30 0.30 0.31 0.36 0.47 0.62 0.76 0.84 0.84 0.79 0.74 0.78 0.95 1.23 1.54 1.82 2.04 2.27 2.61 3.14 3.83 4.55 5.15 5.46 5.44 5.19 4.82 4.47 4.18 3.91 3.59 3.15 2.63 2.12 1.73 1.51 1.45 1.43 1.36 1.14 0.82 0.51 0.34 0.37 0.58 0.84 1.03 1.06 0.97 0.87 0.88 1.02 1.24 1.40 1.40 1.20 0.91 0.66 0.56 0.62 0.77 0.90 0.91 0.78 0.58 0.38 0.24 0.19 0.20 0.24 0.28 0.30 0.30 0.30 0.31 0.36 0.47 0.62 0.76 0.84 0.84 0.79 0.74 0.78 0.95 1.23 1.54 1.82 2.04 2.27 2.61 3.14 3.83 4.55 5.15 5.46 5.44 5.19 4.82 4.47 4.18 3.91 3.59 3.15 2.63 2.12 1.73 1.51 57.5 + 60.0 1.21 1.10 1.04 0.92 0.70 0.40 0.12 0.00 0.02 0.22 0.47 0.65 0.71 0.67 0.64 0.72 0.91 1.16 1.33 1.35 1.19 0.95 0.75 0.70 0.79 0.95 1.06 1.06 0.93 0.74 0.58 0.48 0.46 0.50 0.55 0.59 0.61 0.61 0.61 0.62 0.65 0.70 0.76 0.81 0.81 0.76 0.68 0.65 0.70 0.87 1.13 1.40 1.65 1.86 2.10 2.44 2.92 3.51 4.09 4.52 4.71 4.66 4.44 4.18 3.95 3.76 3.56 3.27 2.86 2.36 1.86 1.46 1.21 1.10 1.04 0.92 0.70 0.40 0.12 0.00 0.02 0.22 0.47 0.65 0.71 0.67 0.64 0.72 0.91 1.16 1.33 1.35 1.19 0.95 0.75 0.70 0.79 0.95 1.06 1.06 0.93 0.74 0.58 0.48 0.46 0.50 0.55 0.59 0.61 0.61 0.61 0.62 0.65 0.70 0.76 0.81 0.81 0.76 0.68 0.65 0.70 0.87 1.13 1.40 1.65 1.86 2.10 2.44 2.92 3.51 4.09 4.52 4.71 4.66 4.44 4.18 3.95 3.76 3.56 3.27 2.86 2.36 1.86 1.46 1.21 60.0 + 62.5 0.94 0.79 0.68 0.54 0.32 0.06 0.00 0.00 0.00 0.00 0.12 0.29 0.36 0.37 0.41 0.55 0.79 1.05 1.21 1.21 1.05 0.82 0.67 0.65 0.76 0.92 1.03 1.01 0.90 0.74 0.62 0.59 0.63 0.72 0.81 0.88 0.93 0.97 1.00 1.02 1.04 1.04 1.02 0.96 0.86 0.75 0.65 0.62 0.68 0.84 1.06 1.29 1.48 1.67 1.89 2.19 2.60 3.06 3.47 3.73 3.81 3.73 3.56 3.40 3.29 3.20 3.08 2.85 2.49 2.04 1.58 1.20 0.94 0.79 0.68 0.54 0.32 0.06 0.00 0.00 0.00 0.00 0.12 0.29 0.36 0.37 0.41 0.55 0.79 1.05 1.21 1.21 1.05 0.82 0.67 0.65 0.76 0.92 1.03 1.01 0.90 0.74 0.62 0.59 0.63 0.72 0.81 0.88 0.93 0.97 1.00 1.02 1.04 1.04 1.02 0.96 0.86 0.75 0.65 0.62 0.68 0.84 1.06 1.29 1.48 1.67 1.89 2.19 2.60 3.06 3.47 3.73 3.81 3.73 3.56 3.40 3.29 3.20 3.08 2.85 2.49 2.04 1.58 1.20 0.94 62.5 + 65.0 0.79 0.59 0.44 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.14 0.23 0.41 0.65 0.89 1.02 0.98 0.79 0.57 0.43 0.44 0.57 0.73 0.83 0.82 0.72 0.60 0.54 0.56 0.67 0.81 0.94 1.05 1.15 1.25 1.33 1.39 1.40 1.36 1.26 1.10 0.93 0.76 0.66 0.64 0.72 0.87 1.06 1.23 1.37 1.52 1.71 1.97 2.29 2.62 2.87 2.99 2.97 2.87 2.76 2.69 2.68 2.68 2.63 2.47 2.19 1.81 1.41 1.06 0.79 0.59 0.44 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.10 0.14 0.23 0.41 0.65 0.89 1.02 0.98 0.79 0.57 0.43 0.44 0.57 0.73 0.83 0.82 0.72 0.60 0.54 0.56 0.67 0.81 0.94 1.05 1.15 1.25 1.33 1.39 1.40 1.36 1.26 1.10 0.93 0.76 0.66 0.64 0.72 0.87 1.06 1.23 1.37 1.52 1.71 1.97 2.29 2.62 2.87 2.99 2.97 2.87 2.76 2.69 2.68 2.68 2.63 2.47 2.19 1.81 1.41 1.06 0.79 65.0 + 67.5 0.82 0.58 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.07 0.17 0.35 0.58 0.78 0.85 0.77 0.56 0.35 0.23 0.25 0.39 0.55 0.64 0.63 0.55 0.47 0.45 0.52 0.65 0.81 0.96 1.10 1.25 1.40 1.54 1.64 1.67 1.59 1.42 1.20 0.98 0.81 0.72 0.74 0.84 1.00 1.15 1.28 1.38 1.50 1.66 1.87 2.12 2.34 2.47 2.48 2.40 2.29 2.22 2.22 2.28 2.34 2.35 2.26 2.06 1.77 1.44 1.11 0.82 0.58 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.07 0.17 0.35 0.58 0.78 0.85 0.77 0.56 0.35 0.23 0.25 0.39 0.55 0.64 0.63 0.55 0.47 0.45 0.52 0.65 0.81 0.96 1.10 1.25 1.40 1.54 1.64 1.67 1.59 1.42 1.20 0.98 0.81 0.72 0.74 0.84 1.00 1.15 1.28 1.38 1.50 1.66 1.87 2.12 2.34 2.47 2.48 2.40 2.29 2.22 2.22 2.28 2.34 2.35 2.26 2.06 1.77 1.44 1.11 0.82 67.5 + 70.0 1.07 0.78 0.51 0.29 0.11 0.00 0.00 0.00 0.00 0.01 0.09 0.14 0.18 0.22 0.31 0.47 0.66 0.80 0.83 0.72 0.52 0.33 0.24 0.28 0.41 0.55 0.63 0.62 0.55 0.50 0.50 0.57 0.69 0.82 0.96 1.11 1.29 1.50 1.70 1.83 1.86 1.77 1.57 1.32 1.09 0.94 0.90 0.96 1.10 1.26 1.40 1.50 1.58 1.67 1.81 1.99 2.18 2.31 2.36 2.30 2.19 2.08 2.03 2.05 2.13 2.22 2.27 2.25 2.13 1.94 1.68 1.38 1.07 0.78 0.51 0.29 0.11 0.00 0.00 0.00 0.00 0.01 0.09 0.14 0.18 0.22 0.31 0.47 0.66 0.80 0.83 0.72 0.52 0.33 0.24 0.28 0.41 0.55 0.63 0.62 0.55 0.50 0.50 0.57 0.69 0.82 0.96 1.11 1.29 1.50 1.70 1.83 1.86 1.77 1.57 1.32 1.09 0.94 0.90 0.96 1.10 1.26 1.40 1.50 1.58 1.67 1.81 1.99 2.18 2.31 2.36 2.30 2.19 2.08 2.03 2.05 2.13 2.22 2.27 2.25 2.13 1.94 1.68 1.38 1.07 70.0 + 72.5 1.48 1.15 0.84 0.59 0.42 0.33 0.30 0.32 0.36 0.42 0.48 0.51 0.53 0.56 0.64 0.76 0.89 0.98 0.98 0.88 0.73 0.58 0.53 0.57 0.68 0.79 0.83 0.81 0.75 0.70 0.70 0.74 0.82 0.91 1.02 1.17 1.38 1.63 1.88 2.04 2.08 1.98 1.78 1.55 1.35 1.24 1.24 1.34 1.50 1.67 1.81 1.90 1.96 2.03 2.14 2.28 2.41 2.49 2.49 2.41 2.28 2.16 2.10 2.12 2.18 2.27 2.34 2.37 2.34 2.24 2.06 1.80 1.48 1.15 0.84 0.59 0.42 0.33 0.30 0.32 0.36 0.42 0.48 0.51 0.53 0.56 0.64 0.76 0.89 0.98 0.98 0.88 0.73 0.58 0.53 0.57 0.68 0.79 0.83 0.81 0.75 0.70 0.70 0.74 0.82 0.91 1.02 1.17 1.38 1.63 1.88 2.04 2.08 1.98 1.78 1.55 1.35 1.24 1.24 1.34 1.50 1.67 1.81 1.90 1.96 2.03 2.14 2.28 2.41 2.49 2.49 2.41 2.28 2.16 2.10 2.12 2.18 2.27 2.34 2.37 2.34 2.24 2.06 1.80 1.48 72.5 + 75.0 1.91 1.56 1.23 0.98 0.81 0.74 0.72 0.74 0.78 0.83 0.88 0.92 0.95 0.98 1.03 1.10 1.18 1.23 1.24 1.17 1.08 1.00 0.97 1.00 1.07 1.11 1.11 1.06 1.00 0.95 0.93 0.94 0.98 1.04 1.15 1.32 1.57 1.86 2.13 2.31 2.36 2.27 2.09 1.89 1.74 1.67 1.71 1.82 1.98 2.14 2.27 2.34 2.39 2.43 2.49 2.57 2.65 2.70 2.68 2.59 2.47 2.35 2.26 2.24 2.26 2.32 2.41 2.49 2.55 2.54 2.43 2.22 1.91 1.56 1.23 0.98 0.81 0.74 0.72 0.74 0.78 0.83 0.88 0.92 0.95 0.98 1.03 1.10 1.18 1.23 1.24 1.17 1.08 1.00 0.97 1.00 1.07 1.11 1.11 1.06 1.00 0.95 0.93 0.94 0.98 1.04 1.15 1.32 1.57 1.86 2.13 2.31 2.36 2.27 2.09 1.89 1.74 1.67 1.71 1.82 1.98 2.14 2.27 2.34 2.39 2.43 2.49 2.57 2.65 2.70 2.68 2.59 2.47 2.35 2.26 2.24 2.26 2.32 2.41 2.49 2.55 2.54 2.43 2.22 1.91 75.0 + 77.5 2.20 1.87 1.55 1.30 1.13 1.04 1.00 0.99 1.02 1.06 1.13 1.20 1.25 1.29 1.31 1.32 1.35 1.37 1.39 1.38 1.36 1.33 1.31 1.31 1.30 1.28 1.22 1.15 1.08 1.03 1.01 1.02 1.06 1.14 1.29 1.53 1.83 2.16 2.44 2.61 2.64 2.56 2.41 2.26 2.16 2.11 2.14 2.23 2.35 2.48 2.58 2.64 2.65 2.64 2.63 2.63 2.66 2.68 2.67 2.62 2.52 2.39 2.28 2.20 2.18 2.22 2.32 2.45 2.59 2.67 2.64 2.48 2.20 1.87 1.55 1.30 1.13 1.04 1.00 0.99 1.02 1.06 1.13 1.20 1.25 1.29 1.31 1.32 1.35 1.37 1.39 1.38 1.36 1.33 1.31 1.31 1.30 1.28 1.22 1.15 1.08 1.03 1.01 1.02 1.06 1.14 1.29 1.53 1.83 2.16 2.44 2.61 2.64 2.56 2.41 2.26 2.16 2.11 2.14 2.23 2.35 2.48 2.58 2.64 2.65 2.64 2.63 2.63 2.66 2.68 2.67 2.62 2.52 2.39 2.28 2.20 2.18 2.22 2.32 2.45 2.59 2.67 2.64 2.48 2.20 77.5 + 80.0 2.23 1.95 1.66 1.42 1.25 1.12 1.03 0.97 0.96 1.00 1.09 1.20 1.29 1.33 1.31 1.26 1.23 1.23 1.27 1.32 1.35 1.36 1.33 1.27 1.19 1.10 1.02 0.94 0.89 0.86 0.85 0.89 0.98 1.14 1.40 1.73 2.10 2.43 2.68 2.80 2.79 2.70 2.58 2.47 2.38 2.33 2.31 2.33 2.39 2.47 2.54 2.57 2.54 2.47 2.37 2.30 2.27 2.29 2.32 2.32 2.26 2.14 2.01 1.89 1.83 1.86 1.98 2.17 2.38 2.53 2.56 2.46 2.23 1.95 1.66 1.42 1.25 1.12 1.03 0.97 0.96 1.00 1.09 1.20 1.29 1.33 1.31 1.26 1.23 1.23 1.27 1.32 1.35 1.36 1.33 1.27 1.19 1.10 1.02 0.94 0.89 0.86 0.85 0.89 0.98 1.14 1.40 1.73 2.10 2.43 2.68 2.80 2.79 2.70 2.58 2.47 2.38 2.33 2.31 2.33 2.39 2.47 2.54 2.57 2.54 2.47 2.37 2.30 2.27 2.29 2.32 2.32 2.26 2.14 2.01 1.89 1.83 1.86 1.98 2.17 2.38 2.53 2.56 2.46 2.23 80.0 + 82.5 2.01 1.78 1.55 1.33 1.14 0.96 0.79 0.67 0.62 0.66 0.78 0.93 1.04 1.06 0.99 0.88 0.79 0.77 0.82 0.92 1.00 1.02 0.97 0.86 0.73 0.61 0.53 0.49 0.47 0.48 0.52 0.62 0.80 1.08 1.46 1.88 2.28 2.59 2.75 2.77 2.69 2.56 2.43 2.33 2.24 2.15 2.06 2.00 1.99 2.02 2.07 2.08 2.02 1.87 1.70 1.56 1.51 1.54 1.63 1.70 1.69 1.60 1.45 1.30 1.22 1.26 1.43 1.67 1.93 2.13 2.22 2.17 2.01 1.78 1.55 1.33 1.14 0.96 0.79 0.67 0.62 0.66 0.78 0.93 1.04 1.06 0.99 0.88 0.79 0.77 0.82 0.92 1.00 1.02 0.97 0.86 0.73 0.61 0.53 0.49 0.47 0.48 0.52 0.62 0.80 1.08 1.46 1.88 2.28 2.59 2.75 2.77 2.69 2.56 2.43 2.33 2.24 2.15 2.06 2.00 1.99 2.02 2.07 2.08 2.02 1.87 1.70 1.56 1.51 1.54 1.63 1.70 1.69 1.60 1.45 1.30 1.22 1.26 1.43 1.67 1.93 2.13 2.22 2.17 2.01 82.5 + 85.0 1.63 1.47 1.29 1.10 0.89 0.66 0.42 0.24 0.15 0.19 0.34 0.51 0.62 0.60 0.47 0.29 0.16 0.13 0.21 0.35 0.47 0.50 0.42 0.29 0.15 0.05 0.01 0.03 0.07 0.13 0.22 0.39 0.66 1.06 1.53 2.00 2.38 2.59 2.61 2.48 2.28 2.08 1.93 1.81 1.70 1.57 1.42 1.30 1.24 1.25 1.30 1.30 1.22 1.03 0.81 0.63 0.57 0.65 0.80 0.94 0.99 0.91 0.75 0.60 0.52 0.59 0.79 1.08 1.38 1.61 1.73 1.73 1.63 1.47 1.29 1.10 0.89 0.66 0.42 0.24 0.15 0.19 0.34 0.51 0.62 0.60 0.47 0.29 0.16 0.13 0.21 0.35 0.47 0.50 0.42 0.29 0.15 0.05 0.01 0.03 0.07 0.13 0.22 0.39 0.66 1.06 1.53 2.00 2.38 2.59 2.61 2.48 2.28 2.08 1.93 1.81 1.70 1.57 1.42 1.30 1.24 1.25 1.30 1.30 1.22 1.03 0.81 0.63 0.57 0.65 0.80 0.94 0.99 0.91 0.75 0.60 0.52 0.59 0.79 1.08 1.38 1.61 1.73 1.73 1.63 85.0 + 87.5 1.29 1.20 1.07 0.90 0.67 0.39 0.11 0.00 0.00 0.00 0.00 0.14 0.24 0.19 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.41 0.74 1.19 1.68 2.12 2.40 2.46 2.30 2.01 1.69 1.41 1.22 1.08 0.95 0.79 0.62 0.48 0.42 0.44 0.51 0.53 0.44 0.25 0.01 0.00 0.00 0.00 0.13 0.32 0.40 0.33 0.17 0.01 0.00 0.04 0.27 0.59 0.90 1.14 1.28 1.32 1.29 1.20 1.07 0.90 0.67 0.39 0.11 0.00 0.00 0.00 0.00 0.14 0.24 0.19 0.01 0.00 0.00 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.20 0.41 0.74 1.19 1.68 2.12 2.40 2.46 2.30 2.01 1.69 1.41 1.22 1.08 0.95 0.79 0.62 0.48 0.42 0.44 0.51 0.53 0.44 0.25 0.01 0.00 0.00 0.00 0.13 0.32 0.40 0.33 0.17 0.01 0.00 0.04 0.27 0.59 0.90 1.14 1.28 1.32 1.29 87.5 + 90.0 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 90.0 + + 80.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.80 ) PHI2 = 80. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 0.0 + 2.5 1.55 1.81 2.05 2.24 2.31 2.25 2.08 1.84 1.59 1.35 1.12 0.90 0.70 0.52 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.54 0.69 0.89 1.10 1.33 1.56 1.80 2.02 2.17 2.23 2.16 1.99 1.77 1.53 1.29 1.07 0.86 0.66 0.51 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.08 1.31 1.55 1.81 2.05 2.24 2.31 2.25 2.08 1.84 1.59 1.35 1.12 0.90 0.70 0.52 0.41 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.54 0.69 0.89 1.10 1.33 1.56 1.80 2.02 2.17 2.23 2.16 1.99 1.77 1.53 1.29 1.07 0.86 0.66 0.51 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.25 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.08 1.31 1.55 2.5 + 5.0 1.52 1.83 2.13 2.36 2.47 2.42 2.23 1.96 1.66 1.38 1.13 0.89 0.67 0.49 0.36 0.30 0.30 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.50 0.62 0.80 1.03 1.28 1.53 1.78 1.99 2.13 2.16 2.08 1.91 1.67 1.41 1.16 0.91 0.70 0.53 0.43 0.40 0.43 0.48 0.47 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.30 0.27 0.24 0.27 0.38 0.55 0.75 0.98 1.23 1.52 1.83 2.13 2.36 2.47 2.42 2.23 1.96 1.66 1.38 1.13 0.89 0.67 0.49 0.36 0.30 0.30 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.50 0.62 0.80 1.03 1.28 1.53 1.78 1.99 2.13 2.16 2.08 1.91 1.67 1.41 1.16 0.91 0.70 0.53 0.43 0.40 0.43 0.48 0.47 0.37 0.17 0.00 0.00 0.00 0.00 0.00 0.17 0.28 0.30 0.27 0.24 0.27 0.38 0.55 0.75 0.98 1.23 1.52 5.0 + 7.5 1.39 1.77 2.15 2.45 2.60 2.56 2.36 2.05 1.71 1.39 1.12 0.89 0.67 0.48 0.33 0.26 0.26 0.29 0.30 0.24 0.11 0.00 0.00 0.00 0.00 0.13 0.34 0.47 0.51 0.46 0.40 0.38 0.45 0.61 0.85 1.13 1.41 1.66 1.86 1.97 1.98 1.89 1.71 1.48 1.21 0.93 0.66 0.44 0.30 0.26 0.31 0.41 0.49 0.49 0.38 0.19 0.00 0.00 0.00 0.00 0.13 0.24 0.26 0.21 0.13 0.08 0.10 0.21 0.37 0.57 0.79 1.06 1.39 1.77 2.15 2.45 2.60 2.56 2.36 2.05 1.71 1.39 1.12 0.89 0.67 0.48 0.33 0.26 0.26 0.29 0.30 0.24 0.11 0.00 0.00 0.00 0.00 0.13 0.34 0.47 0.51 0.46 0.40 0.38 0.45 0.61 0.85 1.13 1.41 1.66 1.86 1.97 1.98 1.89 1.71 1.48 1.21 0.93 0.66 0.44 0.30 0.26 0.31 0.41 0.49 0.49 0.38 0.19 0.00 0.00 0.00 0.00 0.13 0.24 0.26 0.21 0.13 0.08 0.10 0.21 0.37 0.57 0.79 1.06 1.39 7.5 + 10.0 1.16 1.58 2.03 2.39 2.59 2.58 2.37 2.04 1.68 1.37 1.11 0.91 0.72 0.54 0.38 0.28 0.26 0.31 0.36 0.35 0.25 0.08 0.00 0.00 0.00 0.04 0.25 0.41 0.45 0.38 0.26 0.18 0.19 0.32 0.57 0.87 1.17 1.43 1.60 1.67 1.66 1.56 1.40 1.19 0.92 0.63 0.35 0.13 0.01 0.03 0.14 0.29 0.39 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.14 0.20 0.16 0.05 0.00 0.00 0.00 0.03 0.17 0.34 0.54 0.80 1.16 1.58 2.03 2.39 2.59 2.58 2.37 2.04 1.68 1.37 1.11 0.91 0.72 0.54 0.38 0.28 0.26 0.31 0.36 0.35 0.25 0.08 0.00 0.00 0.00 0.04 0.25 0.41 0.45 0.38 0.26 0.18 0.19 0.32 0.57 0.87 1.17 1.43 1.60 1.67 1.66 1.56 1.40 1.19 0.92 0.63 0.35 0.13 0.01 0.03 0.14 0.29 0.39 0.37 0.23 0.03 0.00 0.00 0.00 0.00 0.14 0.20 0.16 0.05 0.00 0.00 0.00 0.03 0.17 0.34 0.54 0.80 1.16 10.0 + 12.5 0.84 1.29 1.78 2.19 2.43 2.44 2.25 1.93 1.59 1.31 1.11 0.97 0.83 0.66 0.49 0.37 0.32 0.36 0.43 0.44 0.35 0.15 0.00 0.00 0.00 0.00 0.10 0.29 0.35 0.27 0.10 0.00 0.00 0.02 0.27 0.59 0.90 1.14 1.27 1.31 1.28 1.19 1.07 0.89 0.65 0.36 0.07 0.00 0.00 0.00 0.00 0.14 0.22 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.26 0.49 0.84 1.29 1.78 2.19 2.43 2.44 2.25 1.93 1.59 1.31 1.11 0.97 0.83 0.66 0.49 0.37 0.32 0.36 0.43 0.44 0.35 0.15 0.00 0.00 0.00 0.00 0.10 0.29 0.35 0.27 0.10 0.00 0.00 0.02 0.27 0.59 0.90 1.14 1.27 1.31 1.28 1.19 1.07 0.89 0.65 0.36 0.07 0.00 0.00 0.00 0.00 0.14 0.22 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.26 0.49 0.84 12.5 + 15.0 0.53 0.99 1.50 1.94 2.20 2.24 2.06 1.77 1.47 1.26 1.14 1.07 0.98 0.84 0.66 0.49 0.41 0.42 0.49 0.51 0.41 0.18 0.00 0.00 0.00 0.00 0.01 0.22 0.31 0.22 0.02 0.00 0.00 0.00 0.10 0.43 0.73 0.94 1.03 1.03 0.98 0.92 0.83 0.70 0.49 0.22 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.53 0.99 1.50 1.94 2.20 2.24 2.06 1.77 1.47 1.26 1.14 1.07 0.98 0.84 0.66 0.49 0.41 0.42 0.49 0.51 0.41 0.18 0.00 0.00 0.00 0.00 0.01 0.22 0.31 0.22 0.02 0.00 0.00 0.00 0.10 0.43 0.73 0.94 1.03 1.03 0.98 0.92 0.83 0.70 0.49 0.22 0.00 0.00 0.00 0.00 0.00 0.06 0.11 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.20 0.53 15.0 + 17.5 0.33 0.79 1.31 1.76 2.03 2.07 1.91 1.65 1.41 1.26 1.22 1.21 1.16 1.02 0.81 0.61 0.49 0.48 0.55 0.57 0.48 0.24 0.00 0.00 0.00 0.00 0.06 0.30 0.40 0.32 0.10 0.00 0.00 0.00 0.16 0.48 0.77 0.94 0.99 0.97 0.91 0.86 0.81 0.71 0.53 0.27 0.00 0.00 0.00 0.00 0.01 0.18 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.33 0.79 1.31 1.76 2.03 2.07 1.91 1.65 1.41 1.26 1.22 1.21 1.16 1.02 0.81 0.61 0.49 0.48 0.55 0.57 0.48 0.24 0.00 0.00 0.00 0.00 0.06 0.30 0.40 0.32 0.10 0.00 0.00 0.00 0.16 0.48 0.77 0.94 0.99 0.97 0.91 0.86 0.81 0.71 0.53 0.27 0.00 0.00 0.00 0.00 0.01 0.18 0.20 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.33 17.5 + 20.0 0.31 0.78 1.30 1.74 2.00 2.02 1.86 1.63 1.44 1.35 1.36 1.39 1.34 1.18 0.94 0.70 0.56 0.55 0.63 0.67 0.58 0.35 0.05 0.00 0.00 0.00 0.26 0.52 0.62 0.53 0.30 0.09 0.02 0.13 0.40 0.72 0.99 1.14 1.16 1.11 1.05 1.02 0.99 0.91 0.75 0.50 0.23 0.02 0.00 0.11 0.33 0.50 0.51 0.31 0.00 0.00 0.00 0.00 0.00 0.15 0.27 0.22 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.31 0.78 1.30 1.74 2.00 2.02 1.86 1.63 1.44 1.35 1.36 1.39 1.34 1.18 0.94 0.70 0.56 0.55 0.63 0.67 0.58 0.35 0.05 0.00 0.00 0.00 0.26 0.52 0.62 0.53 0.30 0.09 0.02 0.13 0.40 0.72 0.99 1.14 1.16 1.11 1.05 1.02 0.99 0.91 0.75 0.50 0.23 0.02 0.00 0.11 0.33 0.50 0.51 0.31 0.00 0.00 0.00 0.00 0.00 0.15 0.27 0.22 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.31 20.0 + 22.5 0.45 0.92 1.44 1.86 2.07 2.07 1.90 1.69 1.55 1.51 1.56 1.59 1.53 1.33 1.06 0.80 0.67 0.69 0.78 0.84 0.76 0.52 0.23 0.03 0.03 0.22 0.52 0.77 0.84 0.72 0.49 0.30 0.25 0.40 0.68 1.00 1.25 1.37 1.38 1.33 1.27 1.25 1.23 1.17 1.02 0.77 0.51 0.33 0.31 0.48 0.73 0.92 0.94 0.74 0.43 0.15 0.06 0.18 0.44 0.67 0.74 0.62 0.39 0.17 0.05 0.07 0.14 0.19 0.15 0.06 0.03 0.14 0.45 0.92 1.44 1.86 2.07 2.07 1.90 1.69 1.55 1.51 1.56 1.59 1.53 1.33 1.06 0.80 0.67 0.69 0.78 0.84 0.76 0.52 0.23 0.03 0.03 0.22 0.52 0.77 0.84 0.72 0.49 0.30 0.25 0.40 0.68 1.00 1.25 1.37 1.38 1.33 1.27 1.25 1.23 1.17 1.02 0.77 0.51 0.33 0.31 0.48 0.73 0.92 0.94 0.74 0.43 0.15 0.06 0.18 0.44 0.67 0.74 0.62 0.39 0.17 0.05 0.07 0.14 0.19 0.15 0.06 0.03 0.14 0.45 22.5 + 25.0 0.66 1.12 1.62 2.00 2.17 2.13 1.95 1.77 1.68 1.70 1.78 1.82 1.74 1.52 1.23 1.00 0.92 0.97 1.09 1.14 1.02 0.75 0.44 0.24 0.24 0.44 0.71 0.90 0.92 0.77 0.53 0.36 0.35 0.52 0.81 1.11 1.34 1.44 1.45 1.40 1.36 1.35 1.34 1.28 1.14 0.91 0.67 0.51 0.53 0.73 1.01 1.24 1.27 1.11 0.82 0.59 0.54 0.70 0.97 1.20 1.23 1.06 0.77 0.51 0.38 0.39 0.46 0.49 0.43 0.31 0.25 0.35 0.66 1.12 1.62 2.00 2.17 2.13 1.95 1.77 1.68 1.70 1.78 1.82 1.74 1.52 1.23 1.00 0.92 0.97 1.09 1.14 1.02 0.75 0.44 0.24 0.24 0.44 0.71 0.90 0.92 0.77 0.53 0.36 0.35 0.52 0.81 1.11 1.34 1.44 1.45 1.40 1.36 1.35 1.34 1.28 1.14 0.91 0.67 0.51 0.53 0.73 1.01 1.24 1.27 1.11 0.82 0.59 0.54 0.70 0.97 1.20 1.23 1.06 0.77 0.51 0.38 0.39 0.46 0.49 0.43 0.31 0.25 0.35 0.66 25.0 + 27.5 0.84 1.28 1.74 2.07 2.19 2.11 1.93 1.79 1.76 1.86 1.99 2.06 1.99 1.78 1.54 1.38 1.38 1.50 1.62 1.62 1.41 1.05 0.66 0.41 0.38 0.54 0.76 0.88 0.82 0.61 0.37 0.22 0.24 0.43 0.71 0.98 1.16 1.23 1.23 1.19 1.17 1.18 1.18 1.13 0.99 0.78 0.57 0.45 0.50 0.73 1.03 1.27 1.33 1.19 0.95 0.76 0.77 0.98 1.30 1.55 1.59 1.40 1.09 0.82 0.69 0.71 0.79 0.82 0.74 0.59 0.49 0.56 0.84 1.28 1.74 2.07 2.19 2.11 1.93 1.79 1.76 1.86 1.99 2.06 1.99 1.78 1.54 1.38 1.38 1.50 1.62 1.62 1.41 1.05 0.66 0.41 0.38 0.54 0.76 0.88 0.82 0.61 0.37 0.22 0.24 0.43 0.71 0.98 1.16 1.23 1.23 1.19 1.17 1.18 1.18 1.13 0.99 0.78 0.57 0.45 0.50 0.73 1.03 1.27 1.33 1.19 0.95 0.76 0.77 0.98 1.30 1.55 1.59 1.40 1.09 0.82 0.69 0.71 0.79 0.82 0.74 0.59 0.49 0.56 0.84 27.5 + 30.0 0.94 1.34 1.75 2.03 2.10 1.99 1.82 1.72 1.78 1.96 2.18 2.31 2.28 2.14 2.00 1.97 2.08 2.28 2.40 2.30 1.94 1.42 0.91 0.58 0.49 0.60 0.74 0.77 0.63 0.37 0.11 0.00 0.03 0.22 0.47 0.68 0.79 0.81 0.77 0.74 0.73 0.75 0.77 0.73 0.60 0.42 0.23 0.14 0.21 0.45 0.76 1.01 1.07 0.94 0.72 0.59 0.66 0.95 1.35 1.66 1.74 1.58 1.29 1.04 0.94 0.99 1.10 1.14 1.04 0.85 0.69 0.71 0.94 1.34 1.75 2.03 2.10 1.99 1.82 1.72 1.78 1.96 2.18 2.31 2.28 2.14 2.00 1.97 2.08 2.28 2.40 2.30 1.94 1.42 0.91 0.58 0.49 0.60 0.74 0.77 0.63 0.37 0.11 0.00 0.03 0.22 0.47 0.68 0.79 0.81 0.77 0.74 0.73 0.75 0.77 0.73 0.60 0.42 0.23 0.14 0.21 0.45 0.76 1.01 1.07 0.94 0.72 0.59 0.66 0.95 1.35 1.66 1.74 1.58 1.29 1.04 0.94 0.99 1.10 1.14 1.04 0.85 0.69 0.71 0.94 30.0 + 32.5 0.99 1.35 1.72 1.95 1.96 1.82 1.64 1.59 1.73 2.01 2.31 2.52 2.59 2.56 2.57 2.71 2.97 3.24 3.34 3.13 2.60 1.89 1.23 0.81 0.67 0.72 0.80 0.74 0.53 0.22 0.00 0.00 0.00 0.11 0.30 0.42 0.44 0.38 0.30 0.24 0.24 0.27 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.04 0.34 0.57 0.62 0.49 0.28 0.18 0.31 0.69 1.19 1.60 1.76 1.66 1.42 1.20 1.13 1.22 1.36 1.41 1.29 1.05 0.84 0.80 0.99 1.35 1.72 1.95 1.96 1.82 1.64 1.59 1.73 2.01 2.31 2.52 2.59 2.56 2.57 2.71 2.97 3.24 3.34 3.13 2.60 1.89 1.23 0.81 0.67 0.72 0.80 0.74 0.53 0.22 0.00 0.00 0.00 0.11 0.30 0.42 0.44 0.38 0.30 0.24 0.24 0.27 0.29 0.26 0.15 0.00 0.00 0.00 0.00 0.04 0.34 0.57 0.62 0.49 0.28 0.18 0.31 0.69 1.19 1.60 1.76 1.66 1.42 1.20 1.13 1.22 1.36 1.41 1.29 1.05 0.84 0.80 0.99 32.5 + 35.0 1.04 1.38 1.72 1.92 1.89 1.70 1.51 1.47 1.65 2.00 2.39 2.68 2.85 2.96 3.13 3.45 3.87 4.23 4.31 3.98 3.28 2.41 1.64 1.14 0.97 1.00 1.03 0.92 0.65 0.31 0.06 0.00 0.07 0.25 0.39 0.42 0.34 0.19 0.05 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.24 0.09 0.00 0.00 0.00 0.45 1.05 1.57 1.82 1.78 1.57 1.37 1.31 1.42 1.57 1.61 1.47 1.20 0.95 0.87 1.04 1.38 1.72 1.92 1.89 1.70 1.51 1.47 1.65 2.00 2.39 2.68 2.85 2.96 3.13 3.45 3.87 4.23 4.31 3.98 3.28 2.41 1.64 1.14 0.97 1.00 1.03 0.92 0.65 0.31 0.06 0.00 0.07 0.25 0.39 0.42 0.34 0.19 0.05 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.21 0.24 0.09 0.00 0.00 0.00 0.45 1.05 1.57 1.82 1.78 1.57 1.37 1.31 1.42 1.57 1.61 1.47 1.20 0.95 0.87 1.04 35.0 + 37.5 1.15 1.50 1.85 2.02 1.94 1.70 1.47 1.41 1.60 1.98 2.40 2.75 3.00 3.22 3.55 4.03 4.58 5.00 5.07 4.65 3.84 2.86 2.02 1.52 1.36 1.39 1.41 1.27 0.97 0.63 0.40 0.36 0.48 0.66 0.77 0.73 0.58 0.36 0.16 0.04 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.47 1.16 1.77 2.08 2.07 1.85 1.63 1.54 1.61 1.73 1.75 1.59 1.30 1.04 0.97 1.15 1.50 1.85 2.02 1.94 1.70 1.47 1.41 1.60 1.98 2.40 2.75 3.00 3.22 3.55 4.03 4.58 5.00 5.07 4.65 3.84 2.86 2.02 1.52 1.36 1.39 1.41 1.27 0.97 0.63 0.40 0.36 0.48 0.66 0.77 0.73 0.58 0.36 0.16 0.04 0.02 0.05 0.09 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.47 1.16 1.77 2.08 2.07 1.85 1.63 1.54 1.61 1.73 1.75 1.59 1.30 1.04 0.97 1.15 37.5 + 40.0 1.34 1.73 2.09 2.24 2.12 1.82 1.52 1.41 1.57 1.93 2.35 2.71 2.99 3.28 3.69 4.27 4.90 5.36 5.41 4.95 4.07 3.07 2.23 1.77 1.66 1.73 1.77 1.63 1.32 0.99 0.79 0.79 0.95 1.15 1.26 1.21 1.02 0.77 0.55 0.43 0.41 0.46 0.51 0.49 0.35 0.13 0.00 0.00 0.00 0.00 0.23 0.41 0.41 0.22 0.00 0.00 0.23 0.85 1.63 2.29 2.64 2.61 2.34 2.03 1.86 1.85 1.91 1.88 1.69 1.40 1.15 1.12 1.34 1.73 2.09 2.24 2.12 1.82 1.52 1.41 1.57 1.93 2.35 2.71 2.99 3.28 3.69 4.27 4.90 5.36 5.41 4.95 4.07 3.07 2.23 1.77 1.66 1.73 1.77 1.63 1.32 0.99 0.79 0.79 0.95 1.15 1.26 1.21 1.02 0.77 0.55 0.43 0.41 0.46 0.51 0.49 0.35 0.13 0.00 0.00 0.00 0.00 0.23 0.41 0.41 0.22 0.00 0.00 0.23 0.85 1.63 2.29 2.64 2.61 2.34 2.03 1.86 1.85 1.91 1.88 1.69 1.40 1.15 1.12 1.34 40.0 + 42.5 1.57 1.99 2.36 2.49 2.33 1.97 1.61 1.45 1.56 1.88 2.26 2.58 2.84 3.11 3.53 4.12 4.76 5.21 5.23 4.75 3.87 2.90 2.12 1.73 1.69 1.82 1.88 1.76 1.47 1.16 0.99 1.03 1.23 1.46 1.60 1.57 1.41 1.18 0.98 0.88 0.90 0.98 1.06 1.06 0.94 0.70 0.43 0.26 0.27 0.46 0.73 0.93 0.93 0.74 0.53 0.52 0.86 1.55 2.39 3.10 3.44 3.37 3.01 2.58 2.29 2.17 2.13 2.03 1.81 1.51 1.29 1.30 1.57 1.99 2.36 2.49 2.33 1.97 1.61 1.45 1.56 1.88 2.26 2.58 2.84 3.11 3.53 4.12 4.76 5.21 5.23 4.75 3.87 2.90 2.12 1.73 1.69 1.82 1.88 1.76 1.47 1.16 0.99 1.03 1.23 1.46 1.60 1.57 1.41 1.18 0.98 0.88 0.90 0.98 1.06 1.06 0.94 0.70 0.43 0.26 0.27 0.46 0.73 0.93 0.93 0.74 0.53 0.52 0.86 1.55 2.39 3.10 3.44 3.37 3.01 2.58 2.29 2.17 2.13 2.03 1.81 1.51 1.29 1.30 1.57 42.5 + 45.0 1.76 2.19 2.55 2.65 2.45 2.05 1.66 1.46 1.54 1.82 2.14 2.40 2.58 2.78 3.12 3.63 4.20 4.59 4.58 4.10 3.26 2.35 1.67 1.36 1.39 1.56 1.65 1.55 1.28 1.00 0.85 0.92 1.14 1.40 1.58 1.61 1.50 1.33 1.19 1.15 1.21 1.35 1.48 1.53 1.43 1.20 0.93 0.75 0.76 0.96 1.25 1.46 1.48 1.33 1.16 1.21 1.63 2.39 3.29 4.02 4.34 4.20 3.75 3.21 2.80 2.56 2.42 2.25 1.98 1.66 1.45 1.47 1.76 2.19 2.55 2.65 2.45 2.05 1.66 1.46 1.54 1.82 2.14 2.40 2.58 2.78 3.12 3.63 4.20 4.59 4.58 4.10 3.26 2.35 1.67 1.36 1.39 1.56 1.65 1.55 1.28 1.00 0.85 0.92 1.14 1.40 1.58 1.61 1.50 1.33 1.19 1.15 1.21 1.35 1.48 1.53 1.43 1.20 0.93 0.75 0.76 0.96 1.25 1.46 1.48 1.33 1.16 1.21 1.63 2.39 3.29 4.02 4.34 4.20 3.75 3.21 2.80 2.56 2.42 2.25 1.98 1.66 1.45 1.47 1.76 45.0 + 47.5 1.87 2.26 2.58 2.65 2.42 2.00 1.61 1.42 1.49 1.74 2.02 2.21 2.29 2.37 2.57 2.95 3.40 3.70 3.66 3.19 2.42 1.61 1.02 0.79 0.86 1.06 1.17 1.08 0.84 0.58 0.44 0.50 0.72 0.99 1.19 1.27 1.24 1.14 1.07 1.08 1.20 1.39 1.58 1.67 1.62 1.43 1.18 1.02 1.05 1.27 1.58 1.82 1.88 1.77 1.68 1.82 2.33 3.16 4.10 4.84 5.13 4.95 4.43 3.82 3.32 3.00 2.77 2.53 2.20 1.85 1.61 1.61 1.87 2.26 2.58 2.65 2.42 2.00 1.61 1.42 1.49 1.74 2.02 2.21 2.29 2.37 2.57 2.95 3.40 3.70 3.66 3.19 2.42 1.61 1.02 0.79 0.86 1.06 1.17 1.08 0.84 0.58 0.44 0.50 0.72 0.99 1.19 1.27 1.24 1.14 1.07 1.08 1.20 1.39 1.58 1.67 1.62 1.43 1.18 1.02 1.05 1.27 1.58 1.82 1.88 1.77 1.68 1.82 2.33 3.16 4.10 4.84 5.13 4.95 4.43 3.82 3.32 3.00 2.77 2.53 2.20 1.85 1.61 1.61 1.87 47.5 + 50.0 1.89 2.21 2.46 2.47 2.22 1.82 1.45 1.30 1.39 1.64 1.90 2.02 2.01 1.97 2.04 2.27 2.59 2.81 2.75 2.32 1.64 0.93 0.43 0.26 0.36 0.57 0.68 0.60 0.37 0.12 0.00 0.01 0.19 0.43 0.63 0.74 0.75 0.72 0.70 0.75 0.90 1.13 1.35 1.49 1.48 1.34 1.14 1.02 1.07 1.32 1.65 1.92 2.02 1.98 1.98 2.22 2.81 3.71 4.66 5.38 5.66 5.45 4.91 4.29 3.77 3.41 3.13 2.83 2.45 2.05 1.76 1.70 1.89 2.21 2.46 2.47 2.22 1.82 1.45 1.30 1.39 1.64 1.90 2.02 2.01 1.97 2.04 2.27 2.59 2.81 2.75 2.32 1.64 0.93 0.43 0.26 0.36 0.57 0.68 0.60 0.37 0.12 0.00 0.01 0.19 0.43 0.63 0.74 0.75 0.72 0.70 0.75 0.90 1.13 1.35 1.49 1.48 1.34 1.14 1.02 1.07 1.32 1.65 1.92 2.02 1.98 1.98 2.22 2.81 3.71 4.66 5.38 5.66 5.45 4.91 4.29 3.77 3.41 3.13 2.83 2.45 2.05 1.76 1.70 1.89 50.0 + 52.5 1.85 2.07 2.23 2.20 1.93 1.55 1.23 1.11 1.24 1.51 1.75 1.84 1.77 1.65 1.61 1.74 1.97 2.14 2.08 1.71 1.14 0.54 0.13 0.02 0.13 0.33 0.43 0.35 0.13 0.00 0.00 0.00 0.00 0.01 0.18 0.28 0.31 0.30 0.31 0.38 0.53 0.75 0.98 1.13 1.15 1.04 0.89 0.81 0.91 1.18 1.52 1.80 1.94 1.97 2.06 2.39 3.04 3.95 4.88 5.56 5.80 5.59 5.09 4.51 4.04 3.70 3.41 3.08 2.66 2.21 1.87 1.74 1.85 2.07 2.23 2.20 1.93 1.55 1.23 1.11 1.24 1.51 1.75 1.84 1.77 1.65 1.61 1.74 1.97 2.14 2.08 1.71 1.14 0.54 0.13 0.02 0.13 0.33 0.43 0.35 0.13 0.00 0.00 0.00 0.00 0.01 0.18 0.28 0.31 0.30 0.31 0.38 0.53 0.75 0.98 1.13 1.15 1.04 0.89 0.81 0.91 1.18 1.52 1.80 1.94 1.97 2.06 2.39 3.04 3.95 4.88 5.56 5.80 5.59 5.09 4.51 4.04 3.70 3.41 3.08 2.66 2.21 1.87 1.74 1.85 52.5 + 55.0 1.75 1.89 1.97 1.88 1.60 1.24 0.95 0.87 1.02 1.30 1.54 1.62 1.54 1.39 1.32 1.40 1.60 1.77 1.75 1.47 1.00 0.52 0.20 0.13 0.26 0.43 0.51 0.43 0.20 0.00 0.00 0.00 0.00 0.00 0.04 0.12 0.14 0.13 0.13 0.19 0.32 0.50 0.69 0.81 0.81 0.72 0.60 0.57 0.70 0.98 1.31 1.59 1.75 1.83 1.99 2.36 3.03 3.90 4.74 5.33 5.52 5.33 4.90 4.43 4.05 3.78 3.53 3.20 2.77 2.30 1.92 1.73 1.75 1.89 1.97 1.88 1.60 1.24 0.95 0.87 1.02 1.30 1.54 1.62 1.54 1.39 1.32 1.40 1.60 1.77 1.75 1.47 1.00 0.52 0.20 0.13 0.26 0.43 0.51 0.43 0.20 0.00 0.00 0.00 0.00 0.00 0.04 0.12 0.14 0.13 0.13 0.19 0.32 0.50 0.69 0.81 0.81 0.72 0.60 0.57 0.70 0.98 1.31 1.59 1.75 1.83 1.99 2.36 3.03 3.90 4.74 5.33 5.52 5.33 4.90 4.43 4.05 3.78 3.53 3.20 2.77 2.30 1.92 1.73 1.75 55.0 + 57.5 1.63 1.69 1.70 1.57 1.27 0.92 0.65 0.58 0.73 1.00 1.24 1.33 1.28 1.16 1.12 1.22 1.44 1.64 1.67 1.47 1.11 0.73 0.49 0.47 0.61 0.77 0.83 0.73 0.50 0.24 0.06 0.00 0.05 0.14 0.23 0.28 0.29 0.28 0.27 0.31 0.39 0.51 0.62 0.67 0.63 0.52 0.42 0.42 0.56 0.83 1.14 1.39 1.53 1.63 1.81 2.20 2.82 3.58 4.29 4.75 4.88 4.70 4.37 4.04 3.80 3.63 3.44 3.15 2.74 2.27 1.88 1.67 1.63 1.69 1.70 1.57 1.27 0.92 0.65 0.58 0.73 1.00 1.24 1.33 1.28 1.16 1.12 1.22 1.44 1.64 1.67 1.47 1.11 0.73 0.49 0.47 0.61 0.77 0.83 0.73 0.50 0.24 0.06 0.00 0.05 0.14 0.23 0.28 0.29 0.28 0.27 0.31 0.39 0.51 0.62 0.67 0.63 0.52 0.42 0.42 0.56 0.83 1.14 1.39 1.53 1.63 1.81 2.20 2.82 3.58 4.29 4.75 4.88 4.70 4.37 4.04 3.80 3.63 3.44 3.15 2.74 2.27 1.88 1.67 1.63 57.5 + 60.0 1.48 1.47 1.43 1.25 0.94 0.59 0.32 0.25 0.38 0.63 0.86 0.97 0.95 0.90 0.93 1.09 1.35 1.58 1.66 1.52 1.23 0.93 0.77 0.79 0.94 1.09 1.14 1.02 0.80 0.56 0.40 0.36 0.42 0.51 0.60 0.65 0.66 0.65 0.65 0.67 0.72 0.76 0.77 0.73 0.61 0.47 0.38 0.39 0.53 0.77 1.03 1.22 1.32 1.41 1.58 1.92 2.46 3.07 3.61 3.93 3.99 3.84 3.62 3.44 3.35 3.29 3.17 2.93 2.56 2.14 1.77 1.55 1.48 1.47 1.43 1.25 0.94 0.59 0.32 0.25 0.38 0.63 0.86 0.97 0.95 0.90 0.93 1.09 1.35 1.58 1.66 1.52 1.23 0.93 0.77 0.79 0.94 1.09 1.14 1.02 0.80 0.56 0.40 0.36 0.42 0.51 0.60 0.65 0.66 0.65 0.65 0.67 0.72 0.76 0.77 0.73 0.61 0.47 0.38 0.39 0.53 0.77 1.03 1.22 1.32 1.41 1.58 1.92 2.46 3.07 3.61 3.93 3.99 3.84 3.62 3.44 3.35 3.29 3.17 2.93 2.56 2.14 1.77 1.55 1.48 60.0 + 62.5 1.31 1.25 1.14 0.93 0.61 0.27 0.01 0.00 0.03 0.24 0.45 0.56 0.59 0.61 0.70 0.92 1.21 1.46 1.54 1.43 1.18 0.93 0.82 0.88 1.05 1.20 1.24 1.12 0.91 0.71 0.59 0.60 0.70 0.83 0.94 1.01 1.04 1.06 1.09 1.11 1.13 1.10 1.02 0.87 0.69 0.51 0.42 0.44 0.58 0.78 0.96 1.08 1.13 1.18 1.32 1.61 2.04 2.50 2.87 3.05 3.05 2.94 2.83 2.78 2.82 2.86 2.81 2.63 2.32 1.95 1.63 1.41 1.31 1.25 1.14 0.93 0.61 0.27 0.01 0.00 0.03 0.24 0.45 0.56 0.59 0.61 0.70 0.92 1.21 1.46 1.54 1.43 1.18 0.93 0.82 0.88 1.05 1.20 1.24 1.12 0.91 0.71 0.59 0.60 0.70 0.83 0.94 1.01 1.04 1.06 1.09 1.11 1.13 1.10 1.02 0.87 0.69 0.51 0.42 0.44 0.58 0.78 0.96 1.08 1.13 1.18 1.32 1.61 2.04 2.50 2.87 3.05 3.05 2.94 2.83 2.78 2.82 2.86 2.81 2.63 2.32 1.95 1.63 1.41 1.31 62.5 + 65.0 1.17 1.05 0.88 0.63 0.32 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.33 0.47 0.71 1.00 1.22 1.28 1.15 0.91 0.69 0.62 0.71 0.90 1.06 1.10 0.99 0.81 0.65 0.60 0.66 0.81 0.97 1.11 1.21 1.28 1.35 1.41 1.46 1.45 1.37 1.21 0.98 0.75 0.56 0.48 0.52 0.65 0.81 0.94 0.98 0.97 0.99 1.11 1.35 1.69 2.01 2.24 2.32 2.28 2.20 2.18 2.25 2.37 2.48 2.49 2.36 2.11 1.80 1.52 1.31 1.17 1.05 0.88 0.63 0.32 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.27 0.33 0.47 0.71 1.00 1.22 1.28 1.15 0.91 0.69 0.62 0.71 0.90 1.06 1.10 0.99 0.81 0.65 0.60 0.66 0.81 0.97 1.11 1.21 1.28 1.35 1.41 1.46 1.45 1.37 1.21 0.98 0.75 0.56 0.48 0.52 0.65 0.81 0.94 0.98 0.97 0.99 1.11 1.35 1.69 2.01 2.24 2.32 2.28 2.20 2.18 2.25 2.37 2.48 2.49 2.36 2.11 1.80 1.52 1.31 1.17 65.0 + 67.5 1.16 0.96 0.73 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.16 0.31 0.54 0.79 0.95 0.96 0.80 0.56 0.38 0.34 0.46 0.66 0.83 0.87 0.78 0.63 0.52 0.51 0.62 0.79 0.97 1.12 1.24 1.35 1.47 1.58 1.65 1.64 1.52 1.30 1.02 0.77 0.59 0.55 0.62 0.77 0.90 0.98 0.97 0.94 0.94 1.05 1.27 1.54 1.77 1.90 1.90 1.84 1.80 1.83 1.96 2.13 2.27 2.30 2.22 2.03 1.79 1.55 1.34 1.16 0.96 0.73 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.09 0.16 0.31 0.54 0.79 0.95 0.96 0.80 0.56 0.38 0.34 0.46 0.66 0.83 0.87 0.78 0.63 0.52 0.51 0.62 0.79 0.97 1.12 1.24 1.35 1.47 1.58 1.65 1.64 1.52 1.30 1.02 0.77 0.59 0.55 0.62 0.77 0.90 0.98 0.97 0.94 0.94 1.05 1.27 1.54 1.77 1.90 1.90 1.84 1.80 1.83 1.96 2.13 2.27 2.30 2.22 2.03 1.79 1.55 1.34 1.16 67.5 + 70.0 1.32 1.05 0.76 0.45 0.17 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.19 0.32 0.52 0.70 0.80 0.76 0.58 0.37 0.22 0.22 0.36 0.56 0.71 0.74 0.66 0.55 0.47 0.49 0.61 0.77 0.93 1.07 1.21 1.36 1.52 1.68 1.77 1.74 1.59 1.34 1.06 0.82 0.69 0.70 0.82 0.98 1.11 1.16 1.14 1.09 1.11 1.22 1.43 1.66 1.83 1.90 1.87 1.79 1.76 1.82 1.95 2.12 2.25 2.30 2.25 2.12 1.96 1.76 1.55 1.32 1.05 0.76 0.45 0.17 0.00 0.00 0.00 0.00 0.00 0.03 0.08 0.12 0.19 0.32 0.52 0.70 0.80 0.76 0.58 0.37 0.22 0.22 0.36 0.56 0.71 0.74 0.66 0.55 0.47 0.49 0.61 0.77 0.93 1.07 1.21 1.36 1.52 1.68 1.77 1.74 1.59 1.34 1.06 0.82 0.69 0.70 0.82 0.98 1.11 1.16 1.14 1.09 1.11 1.22 1.43 1.66 1.83 1.90 1.87 1.79 1.76 1.82 1.95 2.12 2.25 2.30 2.25 2.12 1.96 1.76 1.55 1.32 70.0 + 72.5 1.66 1.33 0.99 0.67 0.40 0.22 0.13 0.13 0.18 0.24 0.30 0.33 0.36 0.43 0.55 0.69 0.82 0.87 0.80 0.64 0.46 0.37 0.40 0.54 0.71 0.82 0.83 0.74 0.64 0.59 0.62 0.71 0.84 0.97 1.10 1.25 1.43 1.64 1.82 1.92 1.89 1.73 1.47 1.21 1.01 0.94 1.00 1.15 1.33 1.46 1.51 1.49 1.46 1.48 1.60 1.79 1.99 2.13 2.16 2.11 2.03 1.99 2.03 2.13 2.26 2.37 2.42 2.41 2.36 2.27 2.13 1.92 1.66 1.33 0.99 0.67 0.40 0.22 0.13 0.13 0.18 0.24 0.30 0.33 0.36 0.43 0.55 0.69 0.82 0.87 0.80 0.64 0.46 0.37 0.40 0.54 0.71 0.82 0.83 0.74 0.64 0.59 0.62 0.71 0.84 0.97 1.10 1.25 1.43 1.64 1.82 1.92 1.89 1.73 1.47 1.21 1.01 0.94 1.00 1.15 1.33 1.46 1.51 1.49 1.46 1.48 1.60 1.79 1.99 2.13 2.16 2.11 2.03 1.99 2.03 2.13 2.26 2.37 2.42 2.41 2.36 2.27 2.13 1.92 1.66 72.5 + 75.0 2.07 1.72 1.34 1.01 0.76 0.60 0.53 0.52 0.55 0.60 0.64 0.68 0.73 0.81 0.91 1.01 1.09 1.10 1.03 0.91 0.81 0.77 0.82 0.93 1.03 1.08 1.04 0.94 0.84 0.80 0.82 0.89 0.99 1.10 1.24 1.42 1.64 1.88 2.09 2.18 2.15 1.98 1.74 1.51 1.36 1.33 1.42 1.59 1.76 1.89 1.94 1.93 1.91 1.93 2.02 2.18 2.34 2.44 2.46 2.41 2.32 2.27 2.27 2.32 2.40 2.47 2.53 2.58 2.61 2.60 2.52 2.35 2.07 1.72 1.34 1.01 0.76 0.60 0.53 0.52 0.55 0.60 0.64 0.68 0.73 0.81 0.91 1.01 1.09 1.10 1.03 0.91 0.81 0.77 0.82 0.93 1.03 1.08 1.04 0.94 0.84 0.80 0.82 0.89 0.99 1.10 1.24 1.42 1.64 1.88 2.09 2.18 2.15 1.98 1.74 1.51 1.36 1.33 1.42 1.59 1.76 1.89 1.94 1.93 1.91 1.93 2.02 2.18 2.34 2.44 2.46 2.41 2.32 2.27 2.27 2.32 2.40 2.47 2.53 2.58 2.61 2.60 2.52 2.35 2.07 75.0 + 77.5 2.40 2.05 1.68 1.34 1.09 0.93 0.84 0.81 0.82 0.85 0.91 0.98 1.06 1.15 1.23 1.30 1.33 1.32 1.27 1.22 1.18 1.18 1.22 1.28 1.30 1.27 1.17 1.06 0.97 0.93 0.95 1.02 1.12 1.26 1.44 1.68 1.96 2.23 2.44 2.52 2.46 2.30 2.08 1.89 1.77 1.76 1.83 1.96 2.11 2.21 2.26 2.25 2.22 2.21 2.25 2.34 2.45 2.53 2.55 2.51 2.44 2.37 2.32 2.32 2.35 2.41 2.50 2.61 2.72 2.80 2.79 2.66 2.40 2.05 1.68 1.34 1.09 0.93 0.84 0.81 0.82 0.85 0.91 0.98 1.06 1.15 1.23 1.30 1.33 1.32 1.27 1.22 1.18 1.18 1.22 1.28 1.30 1.27 1.17 1.06 0.97 0.93 0.95 1.02 1.12 1.26 1.44 1.68 1.96 2.23 2.44 2.52 2.46 2.30 2.08 1.89 1.77 1.76 1.83 1.96 2.11 2.21 2.26 2.25 2.22 2.21 2.25 2.34 2.45 2.53 2.55 2.51 2.44 2.37 2.32 2.32 2.35 2.41 2.50 2.61 2.72 2.80 2.79 2.66 2.40 77.5 + 80.0 2.50 2.19 1.84 1.53 1.27 1.08 0.96 0.88 0.85 0.88 0.96 1.07 1.20 1.30 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.28 1.17 1.05 0.94 0.87 0.86 0.90 1.00 1.14 1.34 1.61 1.94 2.27 2.56 2.74 2.78 2.69 2.51 2.31 2.15 2.04 1.99 2.01 2.08 2.16 2.23 2.26 2.24 2.19 2.12 2.09 2.10 2.16 2.22 2.27 2.27 2.22 2.15 2.08 2.03 2.03 2.10 2.22 2.40 2.59 2.75 2.80 2.72 2.50 2.19 1.84 1.53 1.27 1.08 0.96 0.88 0.85 0.88 0.96 1.07 1.20 1.30 1.35 1.36 1.35 1.32 1.30 1.30 1.32 1.35 1.36 1.35 1.28 1.17 1.05 0.94 0.87 0.86 0.90 1.00 1.14 1.34 1.61 1.94 2.27 2.56 2.74 2.78 2.69 2.51 2.31 2.15 2.04 1.99 2.01 2.08 2.16 2.23 2.26 2.24 2.19 2.12 2.09 2.10 2.16 2.22 2.27 2.27 2.22 2.15 2.08 2.03 2.03 2.10 2.22 2.40 2.59 2.75 2.80 2.72 2.50 80.0 + 82.5 2.34 2.09 1.79 1.50 1.24 1.02 0.84 0.71 0.65 0.67 0.77 0.93 1.07 1.16 1.17 1.11 1.04 0.99 0.99 1.04 1.11 1.15 1.13 1.05 0.92 0.78 0.66 0.58 0.56 0.60 0.69 0.83 1.05 1.35 1.72 2.13 2.49 2.75 2.86 2.82 2.67 2.47 2.27 2.10 1.97 1.88 1.82 1.80 1.81 1.85 1.87 1.84 1.75 1.63 1.52 1.46 1.48 1.56 1.66 1.71 1.71 1.64 1.55 1.48 1.48 1.56 1.73 1.97 2.22 2.43 2.54 2.51 2.34 2.09 1.79 1.50 1.24 1.02 0.84 0.71 0.65 0.67 0.77 0.93 1.07 1.16 1.17 1.11 1.04 0.99 0.99 1.04 1.11 1.15 1.13 1.05 0.92 0.78 0.66 0.58 0.56 0.60 0.69 0.83 1.05 1.35 1.72 2.13 2.49 2.75 2.86 2.82 2.67 2.47 2.27 2.10 1.97 1.88 1.82 1.80 1.81 1.85 1.87 1.84 1.75 1.63 1.52 1.46 1.48 1.56 1.66 1.71 1.71 1.64 1.55 1.48 1.48 1.56 1.73 1.97 2.22 2.43 2.54 2.51 2.34 82.5 + 85.0 2.02 1.83 1.60 1.34 1.08 0.83 0.59 0.41 0.32 0.33 0.45 0.62 0.76 0.81 0.75 0.63 0.50 0.43 0.46 0.55 0.64 0.69 0.65 0.53 0.38 0.26 0.19 0.18 0.23 0.33 0.47 0.67 0.97 1.35 1.80 2.24 2.58 2.76 2.76 2.60 2.36 2.11 1.89 1.71 1.55 1.40 1.27 1.18 1.15 1.17 1.19 1.16 1.06 0.90 0.73 0.64 0.65 0.76 0.92 1.03 1.07 1.01 0.91 0.83 0.83 0.93 1.14 1.43 1.72 1.96 2.10 2.11 2.02 1.83 1.60 1.34 1.08 0.83 0.59 0.41 0.32 0.33 0.45 0.62 0.76 0.81 0.75 0.63 0.50 0.43 0.46 0.55 0.64 0.69 0.65 0.53 0.38 0.26 0.19 0.18 0.23 0.33 0.47 0.67 0.97 1.35 1.80 2.24 2.58 2.76 2.76 2.60 2.36 2.11 1.89 1.71 1.55 1.40 1.27 1.18 1.15 1.17 1.19 1.16 1.06 0.90 0.73 0.64 0.65 0.76 0.92 1.03 1.07 1.01 0.91 0.83 0.83 0.93 1.14 1.43 1.72 1.96 2.10 2.11 2.02 85.0 + 87.5 1.70 1.59 1.42 1.20 0.94 0.66 0.38 0.16 0.04 0.05 0.17 0.33 0.44 0.44 0.32 0.13 0.00 0.00 0.00 0.08 0.21 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.12 0.27 0.45 0.70 1.04 1.47 1.93 2.33 2.58 2.63 2.48 2.19 1.86 1.55 1.31 1.11 0.92 0.74 0.58 0.47 0.44 0.47 0.51 0.51 0.41 0.23 0.05 0.00 0.00 0.14 0.34 0.49 0.55 0.49 0.37 0.28 0.28 0.40 0.64 0.94 1.25 1.50 1.67 1.73 1.70 1.59 1.42 1.20 0.94 0.66 0.38 0.16 0.04 0.05 0.17 0.33 0.44 0.44 0.32 0.13 0.00 0.00 0.00 0.08 0.21 0.27 0.22 0.11 0.00 0.00 0.00 0.00 0.12 0.27 0.45 0.70 1.04 1.47 1.93 2.33 2.58 2.63 2.48 2.19 1.86 1.55 1.31 1.11 0.92 0.74 0.58 0.47 0.44 0.47 0.51 0.51 0.41 0.23 0.05 0.00 0.00 0.14 0.34 0.49 0.55 0.49 0.37 0.28 0.28 0.40 0.64 0.94 1.25 1.50 1.67 1.73 1.70 87.5 + 90.0 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 90.0 + + 82.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 5.21 ) PHI2 = 83. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 0.0 + 2.5 1.82 2.06 2.24 2.31 2.25 2.08 1.84 1.59 1.34 1.12 0.90 0.69 0.52 0.40 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.69 0.88 1.10 1.32 1.56 1.80 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.29 1.07 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.09 1.32 1.56 1.82 2.06 2.24 2.31 2.25 2.08 1.84 1.59 1.34 1.12 0.90 0.69 0.52 0.40 0.36 0.35 0.33 0.23 0.05 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.69 0.88 1.10 1.32 1.56 1.80 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.29 1.07 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.87 1.09 1.32 1.56 1.82 2.5 + 5.0 1.84 2.14 2.37 2.47 2.41 2.22 1.94 1.64 1.36 1.11 0.87 0.65 0.47 0.34 0.29 0.29 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.49 0.60 0.79 1.01 1.26 1.51 1.76 1.97 2.12 2.15 2.08 1.91 1.68 1.42 1.17 0.92 0.71 0.54 0.43 0.40 0.44 0.48 0.46 0.36 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.27 0.29 0.26 0.24 0.28 0.39 0.56 0.77 0.99 1.25 1.53 1.84 2.14 2.37 2.47 2.41 2.22 1.94 1.64 1.36 1.11 0.87 0.65 0.47 0.34 0.29 0.29 0.30 0.26 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.33 0.45 0.48 0.46 0.45 0.49 0.60 0.79 1.01 1.26 1.51 1.76 1.97 2.12 2.15 2.08 1.91 1.68 1.42 1.17 0.92 0.71 0.54 0.43 0.40 0.44 0.48 0.46 0.36 0.16 0.00 0.00 0.00 0.00 0.00 0.16 0.27 0.29 0.26 0.24 0.28 0.39 0.56 0.77 0.99 1.25 1.53 1.84 5.0 + 7.5 1.80 2.17 2.46 2.60 2.55 2.33 2.01 1.66 1.34 1.07 0.84 0.62 0.43 0.29 0.22 0.22 0.26 0.28 0.22 0.09 0.00 0.00 0.00 0.00 0.12 0.32 0.46 0.49 0.44 0.37 0.35 0.41 0.57 0.81 1.09 1.37 1.63 1.82 1.94 1.96 1.88 1.71 1.48 1.22 0.94 0.67 0.45 0.30 0.26 0.30 0.40 0.48 0.47 0.35 0.16 0.00 0.00 0.00 0.00 0.11 0.22 0.25 0.20 0.12 0.08 0.11 0.22 0.39 0.59 0.82 1.09 1.42 1.80 2.17 2.46 2.60 2.55 2.33 2.01 1.66 1.34 1.07 0.84 0.62 0.43 0.29 0.22 0.22 0.26 0.28 0.22 0.09 0.00 0.00 0.00 0.00 0.12 0.32 0.46 0.49 0.44 0.37 0.35 0.41 0.57 0.81 1.09 1.37 1.63 1.82 1.94 1.96 1.88 1.71 1.48 1.22 0.94 0.67 0.45 0.30 0.26 0.30 0.40 0.48 0.47 0.35 0.16 0.00 0.00 0.00 0.00 0.11 0.22 0.25 0.20 0.12 0.08 0.11 0.22 0.39 0.59 0.82 1.09 1.42 1.80 7.5 + 10.0 1.62 2.05 2.41 2.58 2.55 2.32 1.97 1.60 1.27 1.02 0.81 0.62 0.44 0.28 0.19 0.17 0.23 0.29 0.29 0.19 0.02 0.00 0.00 0.00 0.00 0.20 0.36 0.40 0.33 0.21 0.12 0.12 0.26 0.50 0.80 1.11 1.36 1.54 1.62 1.62 1.54 1.39 1.18 0.92 0.63 0.34 0.11 0.00 0.00 0.12 0.26 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.03 0.00 0.00 0.00 0.05 0.20 0.38 0.58 0.84 1.19 1.62 2.05 2.41 2.58 2.55 2.32 1.97 1.60 1.27 1.02 0.81 0.62 0.44 0.28 0.19 0.17 0.23 0.29 0.29 0.19 0.02 0.00 0.00 0.00 0.00 0.20 0.36 0.40 0.33 0.21 0.12 0.12 0.26 0.50 0.80 1.11 1.36 1.54 1.62 1.62 1.54 1.39 1.18 0.92 0.63 0.34 0.11 0.00 0.00 0.12 0.26 0.36 0.33 0.19 0.00 0.00 0.00 0.00 0.00 0.10 0.17 0.13 0.03 0.00 0.00 0.00 0.05 0.20 0.38 0.58 0.84 1.19 1.62 10.0 + 12.5 1.33 1.81 2.21 2.42 2.40 2.17 1.82 1.46 1.16 0.96 0.81 0.68 0.51 0.35 0.22 0.18 0.22 0.30 0.32 0.23 0.03 0.00 0.00 0.00 0.00 0.01 0.20 0.26 0.19 0.02 0.00 0.00 0.00 0.19 0.51 0.82 1.05 1.19 1.24 1.22 1.15 1.04 0.87 0.63 0.33 0.04 0.00 0.00 0.00 0.00 0.09 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.30 0.53 0.88 1.33 1.81 2.21 2.42 2.40 2.17 1.82 1.46 1.16 0.96 0.81 0.68 0.51 0.35 0.22 0.18 0.22 0.30 0.32 0.23 0.03 0.00 0.00 0.00 0.00 0.01 0.20 0.26 0.19 0.02 0.00 0.00 0.00 0.19 0.51 0.82 1.05 1.19 1.24 1.22 1.15 1.04 0.87 0.63 0.33 0.04 0.00 0.00 0.00 0.00 0.09 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.16 0.30 0.53 0.88 1.33 12.5 + 15.0 1.04 1.54 1.96 2.20 2.19 1.97 1.64 1.31 1.07 0.94 0.87 0.79 0.65 0.47 0.30 0.22 0.24 0.31 0.35 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.20 0.12 0.00 0.00 0.00 0.00 0.01 0.33 0.64 0.85 0.94 0.95 0.92 0.87 0.80 0.67 0.46 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.58 1.04 1.54 1.96 2.20 2.19 1.97 1.64 1.31 1.07 0.94 0.87 0.79 0.65 0.47 0.30 0.22 0.24 0.31 0.35 0.25 0.03 0.00 0.00 0.00 0.00 0.00 0.11 0.20 0.12 0.00 0.00 0.00 0.00 0.01 0.33 0.64 0.85 0.94 0.95 0.92 0.87 0.80 0.67 0.46 0.18 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.26 0.58 1.04 15.0 + 17.5 0.87 1.38 1.82 2.06 2.05 1.84 1.53 1.24 1.06 1.00 0.99 0.95 0.82 0.61 0.41 0.29 0.29 0.37 0.41 0.32 0.08 0.00 0.00 0.00 0.00 0.00 0.20 0.31 0.23 0.02 0.00 0.00 0.00 0.07 0.40 0.68 0.86 0.91 0.89 0.85 0.82 0.78 0.69 0.51 0.24 0.00 0.00 0.00 0.00 0.00 0.13 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.41 0.87 1.38 1.82 2.06 2.05 1.84 1.53 1.24 1.06 1.00 0.99 0.95 0.82 0.61 0.41 0.29 0.29 0.37 0.41 0.32 0.08 0.00 0.00 0.00 0.00 0.00 0.20 0.31 0.23 0.02 0.00 0.00 0.00 0.07 0.40 0.68 0.86 0.91 0.89 0.85 0.82 0.78 0.69 0.51 0.24 0.00 0.00 0.00 0.00 0.00 0.13 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.10 0.41 0.87 17.5 + 20.0 0.89 1.41 1.85 2.08 2.06 1.84 1.54 1.29 1.16 1.15 1.18 1.14 1.00 0.76 0.52 0.39 0.39 0.47 0.53 0.46 0.24 0.00 0.00 0.00 0.00 0.17 0.46 0.58 0.49 0.27 0.05 0.00 0.07 0.33 0.66 0.93 1.07 1.10 1.06 1.01 0.99 0.98 0.91 0.75 0.50 0.21 0.00 0.00 0.07 0.30 0.48 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.21 0.04 0.00 0.00 0.00 0.00 0.05 0.06 0.02 0.00 0.12 0.42 0.89 1.41 1.85 2.08 2.06 1.84 1.54 1.29 1.16 1.15 1.18 1.14 1.00 0.76 0.52 0.39 0.39 0.47 0.53 0.46 0.24 0.00 0.00 0.00 0.00 0.17 0.46 0.58 0.49 0.27 0.05 0.00 0.07 0.33 0.66 0.93 1.07 1.10 1.06 1.01 0.99 0.98 0.91 0.75 0.50 0.21 0.00 0.00 0.07 0.30 0.48 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.11 0.25 0.21 0.04 0.00 0.00 0.00 0.00 0.05 0.06 0.02 0.00 0.12 0.42 0.89 20.0 + 22.5 1.07 1.59 2.01 2.22 2.17 1.94 1.66 1.44 1.35 1.37 1.41 1.36 1.18 0.91 0.66 0.52 0.55 0.67 0.75 0.69 0.47 0.18 0.00 0.00 0.17 0.49 0.76 0.86 0.75 0.51 0.29 0.23 0.36 0.63 0.95 1.21 1.33 1.34 1.30 1.25 1.24 1.24 1.19 1.04 0.79 0.51 0.31 0.29 0.44 0.71 0.92 0.95 0.77 0.44 0.14 0.02 0.13 0.38 0.63 0.72 0.62 0.39 0.18 0.08 0.11 0.22 0.30 0.30 0.23 0.19 0.29 0.60 1.07 1.59 2.01 2.22 2.17 1.94 1.66 1.44 1.35 1.37 1.41 1.36 1.18 0.91 0.66 0.52 0.55 0.67 0.75 0.69 0.47 0.18 0.00 0.00 0.17 0.49 0.76 0.86 0.75 0.51 0.29 0.23 0.36 0.63 0.95 1.21 1.33 1.34 1.30 1.25 1.24 1.24 1.19 1.04 0.79 0.51 0.31 0.29 0.44 0.71 0.92 0.95 0.77 0.44 0.14 0.02 0.13 0.38 0.63 0.72 0.62 0.39 0.18 0.08 0.11 0.22 0.30 0.30 0.23 0.19 0.29 0.60 1.07 22.5 + 25.0 1.30 1.81 2.20 2.37 2.29 2.05 1.78 1.60 1.56 1.61 1.65 1.58 1.37 1.09 0.85 0.76 0.83 0.97 1.06 0.98 0.73 0.42 0.20 0.20 0.41 0.71 0.94 0.98 0.83 0.57 0.37 0.33 0.48 0.77 1.08 1.31 1.42 1.42 1.38 1.35 1.35 1.35 1.31 1.16 0.93 0.66 0.49 0.49 0.68 0.97 1.22 1.28 1.12 0.83 0.56 0.48 0.62 0.90 1.14 1.21 1.06 0.78 0.52 0.40 0.43 0.54 0.62 0.60 0.51 0.44 0.53 0.83 1.30 1.81 2.20 2.37 2.29 2.05 1.78 1.60 1.56 1.61 1.65 1.58 1.37 1.09 0.85 0.76 0.83 0.97 1.06 0.98 0.73 0.42 0.20 0.20 0.41 0.71 0.94 0.98 0.83 0.57 0.37 0.33 0.48 0.77 1.08 1.31 1.42 1.42 1.38 1.35 1.35 1.35 1.31 1.16 0.93 0.66 0.49 0.49 0.68 0.97 1.22 1.28 1.12 0.83 0.56 0.48 0.62 0.90 1.14 1.21 1.06 0.78 0.52 0.40 0.43 0.54 0.62 0.60 0.51 0.44 0.53 0.83 1.30 25.0 + 27.5 1.44 1.92 2.27 2.40 2.29 2.04 1.80 1.69 1.71 1.81 1.87 1.80 1.59 1.34 1.16 1.14 1.27 1.43 1.48 1.32 0.98 0.59 0.33 0.30 0.47 0.73 0.89 0.86 0.65 0.38 0.19 0.18 0.36 0.64 0.92 1.12 1.20 1.20 1.16 1.14 1.15 1.17 1.13 0.99 0.77 0.53 0.38 0.40 0.61 0.93 1.20 1.29 1.16 0.90 0.68 0.65 0.85 1.18 1.46 1.55 1.40 1.10 0.82 0.69 0.73 0.85 0.94 0.91 0.79 0.69 0.74 1.01 1.44 1.92 2.27 2.40 2.29 2.04 1.80 1.69 1.71 1.81 1.87 1.80 1.59 1.34 1.16 1.14 1.27 1.43 1.48 1.32 0.98 0.59 0.33 0.30 0.47 0.73 0.89 0.86 0.65 0.38 0.19 0.18 0.36 0.64 0.92 1.12 1.20 1.20 1.16 1.14 1.15 1.17 1.13 0.99 0.77 0.53 0.38 0.40 0.61 0.93 1.20 1.29 1.16 0.90 0.68 0.65 0.85 1.18 1.46 1.55 1.40 1.10 0.82 0.69 0.73 0.85 0.94 0.91 0.79 0.69 0.74 1.01 1.44 27.5 + 30.0 1.45 1.88 2.19 2.26 2.12 1.88 1.69 1.65 1.76 1.94 2.05 2.02 1.86 1.68 1.60 1.70 1.90 2.07 2.04 1.74 1.24 0.72 0.37 0.29 0.42 0.61 0.70 0.59 0.33 0.05 0.00 0.00 0.08 0.34 0.58 0.71 0.75 0.72 0.67 0.66 0.69 0.71 0.68 0.56 0.36 0.14 0.00 0.03 0.25 0.57 0.85 0.95 0.84 0.60 0.43 0.46 0.74 1.16 1.53 1.69 1.58 1.31 1.04 0.92 0.97 1.12 1.22 1.18 1.02 0.87 0.86 1.06 1.45 1.88 2.19 2.26 2.12 1.88 1.69 1.65 1.76 1.94 2.05 2.02 1.86 1.68 1.60 1.70 1.90 2.07 2.04 1.74 1.24 0.72 0.37 0.29 0.42 0.61 0.70 0.59 0.33 0.05 0.00 0.00 0.08 0.34 0.58 0.71 0.75 0.72 0.67 0.66 0.69 0.71 0.68 0.56 0.36 0.14 0.00 0.03 0.25 0.57 0.85 0.95 0.84 0.60 0.43 0.46 0.74 1.16 1.53 1.69 1.58 1.31 1.04 0.92 0.97 1.12 1.22 1.18 1.02 0.87 0.86 1.06 1.45 30.0 + 32.5 1.36 1.74 2.00 2.03 1.86 1.62 1.47 1.50 1.71 1.98 2.17 2.21 2.15 2.09 2.17 2.41 2.70 2.86 2.73 2.26 1.57 0.90 0.45 0.30 0.39 0.54 0.56 0.39 0.08 0.00 0.00 0.00 0.00 0.11 0.27 0.33 0.29 0.20 0.14 0.13 0.16 0.20 0.19 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.35 0.44 0.32 0.10 0.00 0.04 0.41 0.95 1.44 1.71 1.68 1.45 1.20 1.09 1.17 1.33 1.43 1.37 1.17 0.95 0.87 1.02 1.36 1.74 2.00 2.03 1.86 1.62 1.47 1.50 1.71 1.98 2.17 2.21 2.15 2.09 2.17 2.41 2.70 2.86 2.73 2.26 1.57 0.90 0.45 0.30 0.39 0.54 0.56 0.39 0.08 0.00 0.00 0.00 0.00 0.11 0.27 0.33 0.29 0.20 0.14 0.13 0.16 0.20 0.19 0.08 0.00 0.00 0.00 0.00 0.00 0.08 0.35 0.44 0.32 0.10 0.00 0.04 0.41 0.95 1.44 1.71 1.68 1.45 1.20 1.09 1.17 1.33 1.43 1.37 1.17 0.95 0.87 1.02 1.36 32.5 + 35.0 1.26 1.62 1.84 1.83 1.63 1.37 1.23 1.31 1.59 1.94 2.22 2.36 2.41 2.51 2.77 3.17 3.56 3.72 3.48 2.85 1.99 1.18 0.65 0.47 0.55 0.67 0.65 0.43 0.10 0.00 0.00 0.00 0.00 0.15 0.24 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.13 0.78 1.41 1.78 1.83 1.63 1.39 1.27 1.33 1.48 1.56 1.47 1.23 0.96 0.83 0.95 1.26 1.62 1.84 1.83 1.63 1.37 1.23 1.31 1.59 1.94 2.22 2.36 2.41 2.51 2.77 3.17 3.56 3.72 3.48 2.85 1.99 1.18 0.65 0.47 0.55 0.67 0.65 0.43 0.10 0.00 0.00 0.00 0.00 0.15 0.24 0.20 0.07 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.00 0.00 0.00 0.00 0.13 0.78 1.41 1.78 1.83 1.63 1.39 1.27 1.33 1.48 1.56 1.47 1.23 0.96 0.83 0.95 1.26 35.0 + 37.5 1.25 1.61 1.82 1.77 1.51 1.21 1.05 1.15 1.46 1.86 2.20 2.43 2.60 2.85 3.27 3.82 4.30 4.47 4.16 3.40 2.42 1.53 0.97 0.80 0.90 1.02 0.98 0.74 0.40 0.13 0.04 0.15 0.36 0.52 0.56 0.44 0.23 0.02 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.89 1.63 2.09 2.18 1.98 1.69 1.51 1.51 1.61 1.65 1.52 1.24 0.95 0.81 0.92 1.25 1.61 1.82 1.77 1.51 1.21 1.05 1.15 1.46 1.86 2.20 2.43 2.60 2.85 3.27 3.82 4.30 4.47 4.16 3.40 2.42 1.53 0.97 0.80 0.90 1.02 0.98 0.74 0.40 0.13 0.04 0.15 0.36 0.52 0.56 0.44 0.23 0.02 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.89 1.63 2.09 2.18 1.98 1.69 1.51 1.51 1.61 1.65 1.52 1.24 0.95 0.81 0.92 1.25 37.5 + 40.0 1.34 1.72 1.93 1.85 1.54 1.18 0.98 1.05 1.36 1.77 2.14 2.41 2.65 3.01 3.55 4.20 4.74 4.91 4.56 3.73 2.70 1.79 1.25 1.14 1.28 1.43 1.39 1.15 0.81 0.56 0.52 0.66 0.89 1.05 1.06 0.90 0.64 0.40 0.25 0.22 0.30 0.41 0.46 0.39 0.19 0.00 0.00 0.00 0.00 0.07 0.30 0.33 0.14 0.00 0.00 0.00 0.51 1.35 2.17 2.68 2.77 2.51 2.13 1.85 1.74 1.75 1.72 1.55 1.25 0.95 0.83 0.98 1.34 1.72 1.93 1.85 1.54 1.18 0.98 1.05 1.36 1.77 2.14 2.41 2.65 3.01 3.55 4.20 4.74 4.91 4.56 3.73 2.70 1.79 1.25 1.14 1.28 1.43 1.39 1.15 0.81 0.56 0.52 0.66 0.89 1.05 1.06 0.90 0.64 0.40 0.25 0.22 0.30 0.41 0.46 0.39 0.19 0.00 0.00 0.00 0.00 0.07 0.30 0.33 0.14 0.00 0.00 0.00 0.51 1.35 2.17 2.68 2.77 2.51 2.13 1.85 1.74 1.75 1.72 1.55 1.25 0.95 0.83 0.98 1.34 40.0 + 42.5 1.49 1.90 2.11 2.00 1.65 1.24 0.99 1.02 1.31 1.70 2.05 2.31 2.57 2.95 3.52 4.21 4.76 4.92 4.54 3.69 2.66 1.79 1.31 1.26 1.45 1.64 1.62 1.39 1.07 0.84 0.83 1.01 1.26 1.45 1.46 1.31 1.05 0.81 0.68 0.68 0.80 0.96 1.05 1.00 0.79 0.51 0.28 0.21 0.36 0.63 0.86 0.90 0.70 0.42 0.28 0.52 1.17 2.08 2.95 3.47 3.52 3.18 2.69 2.27 2.03 1.93 1.83 1.61 1.28 0.99 0.90 1.09 1.49 1.90 2.11 2.00 1.65 1.24 0.99 1.02 1.31 1.70 2.05 2.31 2.57 2.95 3.52 4.21 4.76 4.92 4.54 3.69 2.66 1.79 1.31 1.26 1.45 1.64 1.62 1.39 1.07 0.84 0.83 1.01 1.26 1.45 1.46 1.31 1.05 0.81 0.68 0.68 0.80 0.96 1.05 1.00 0.79 0.51 0.28 0.21 0.36 0.63 0.86 0.90 0.70 0.42 0.28 0.52 1.17 2.08 2.95 3.47 3.52 3.18 2.69 2.27 2.03 1.93 1.83 1.61 1.28 0.99 0.90 1.09 1.49 42.5 + 45.0 1.62 2.04 2.24 2.11 1.73 1.30 1.03 1.04 1.29 1.65 1.96 2.17 2.37 2.70 3.21 3.84 4.34 4.47 4.07 3.24 2.25 1.44 1.03 1.04 1.27 1.48 1.48 1.27 0.97 0.76 0.77 0.97 1.25 1.47 1.52 1.40 1.19 1.00 0.91 0.96 1.12 1.33 1.46 1.45 1.26 0.98 0.75 0.68 0.84 1.13 1.38 1.43 1.25 1.00 0.90 1.19 1.91 2.87 3.77 4.28 4.29 3.86 3.26 2.72 2.37 2.17 1.99 1.71 1.36 1.07 0.99 1.20 1.62 2.04 2.24 2.11 1.73 1.30 1.03 1.04 1.29 1.65 1.96 2.17 2.37 2.70 3.21 3.84 4.34 4.47 4.07 3.24 2.25 1.44 1.03 1.04 1.27 1.48 1.48 1.27 0.97 0.76 0.77 0.97 1.25 1.47 1.52 1.40 1.19 1.00 0.91 0.96 1.12 1.33 1.46 1.45 1.26 0.98 0.75 0.68 0.84 1.13 1.38 1.43 1.25 1.00 0.90 1.19 1.91 2.87 3.77 4.28 4.29 3.86 3.26 2.72 2.37 2.17 1.99 1.71 1.36 1.07 0.99 1.20 1.62 45.0 + 47.5 1.69 2.08 2.25 2.12 1.73 1.30 1.04 1.06 1.31 1.63 1.89 2.02 2.12 2.33 2.72 3.22 3.63 3.70 3.30 2.50 1.58 0.84 0.50 0.54 0.80 1.01 1.02 0.82 0.54 0.35 0.36 0.57 0.85 1.08 1.17 1.12 0.97 0.84 0.80 0.90 1.10 1.35 1.52 1.54 1.39 1.13 0.92 0.88 1.05 1.36 1.63 1.71 1.58 1.37 1.35 1.72 2.50 3.51 4.41 4.91 4.87 4.40 3.74 3.14 2.72 2.45 2.21 1.89 1.51 1.19 1.10 1.29 1.69 2.08 2.25 2.12 1.73 1.30 1.04 1.06 1.31 1.63 1.89 2.02 2.12 2.33 2.72 3.22 3.63 3.70 3.30 2.50 1.58 0.84 0.50 0.54 0.80 1.01 1.02 0.82 0.54 0.35 0.36 0.57 0.85 1.08 1.17 1.12 0.97 0.84 0.80 0.90 1.10 1.35 1.52 1.54 1.39 1.13 0.92 0.88 1.05 1.36 1.63 1.71 1.58 1.37 1.35 1.72 2.50 3.51 4.41 4.91 4.87 4.40 3.74 3.14 2.72 2.45 2.21 1.89 1.51 1.19 1.10 1.29 1.69 47.5 + 50.0 1.69 2.03 2.16 2.02 1.65 1.25 1.03 1.07 1.33 1.63 1.84 1.89 1.87 1.94 2.17 2.54 2.84 2.86 2.47 1.74 0.91 0.25 0.00 0.02 0.26 0.47 0.48 0.29 0.02 0.00 0.00 0.00 0.26 0.49 0.61 0.60 0.52 0.45 0.45 0.57 0.80 1.05 1.24 1.29 1.16 0.94 0.76 0.76 0.96 1.29 1.58 1.69 1.61 1.48 1.54 1.99 2.82 3.84 4.74 5.21 5.15 4.67 4.02 3.43 3.01 2.73 2.46 2.11 1.70 1.35 1.22 1.36 1.69 2.03 2.16 2.02 1.65 1.25 1.03 1.07 1.33 1.63 1.84 1.89 1.87 1.94 2.17 2.54 2.84 2.86 2.47 1.74 0.91 0.25 0.00 0.02 0.26 0.47 0.48 0.29 0.02 0.00 0.00 0.00 0.26 0.49 0.61 0.60 0.52 0.45 0.45 0.57 0.80 1.05 1.24 1.29 1.16 0.94 0.76 0.76 0.96 1.29 1.58 1.69 1.61 1.48 1.54 1.99 2.82 3.84 4.74 5.21 5.15 4.67 4.02 3.43 3.01 2.73 2.46 2.11 1.70 1.35 1.22 1.36 1.69 50.0 + 52.5 1.69 1.95 2.04 1.88 1.53 1.17 0.98 1.05 1.31 1.61 1.77 1.76 1.66 1.61 1.72 1.97 2.20 2.21 1.86 1.23 0.50 0.00 0.00 0.00 0.00 0.16 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.13 0.16 0.11 0.07 0.10 0.22 0.42 0.66 0.83 0.86 0.75 0.56 0.43 0.46 0.69 1.03 1.33 1.47 1.43 1.38 1.52 2.02 2.87 3.86 4.70 5.12 5.06 4.62 4.03 3.52 3.17 2.93 2.68 2.33 1.90 1.53 1.35 1.43 1.69 1.95 2.04 1.88 1.53 1.17 0.98 1.05 1.31 1.61 1.77 1.76 1.66 1.61 1.72 1.97 2.20 2.21 1.86 1.23 0.50 0.00 0.00 0.00 0.00 0.16 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.13 0.16 0.11 0.07 0.10 0.22 0.42 0.66 0.83 0.86 0.75 0.56 0.43 0.46 0.69 1.03 1.33 1.47 1.43 1.38 1.52 2.02 2.87 3.86 4.70 5.12 5.06 4.62 4.03 3.52 3.17 2.93 2.68 2.33 1.90 1.53 1.35 1.43 1.69 52.5 + 55.0 1.72 1.91 1.94 1.75 1.40 1.07 0.90 0.98 1.23 1.51 1.66 1.62 1.48 1.37 1.42 1.62 1.83 1.86 1.60 1.08 0.47 0.00 0.00 0.00 0.08 0.23 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.08 0.24 0.41 0.52 0.52 0.39 0.23 0.13 0.20 0.45 0.79 1.07 1.21 1.20 1.19 1.38 1.89 2.70 3.60 4.33 4.68 4.61 4.23 3.77 3.40 3.17 3.01 2.81 2.48 2.07 1.70 1.50 1.53 1.72 1.91 1.94 1.75 1.40 1.07 0.90 0.98 1.23 1.51 1.66 1.62 1.48 1.37 1.42 1.62 1.83 1.86 1.60 1.08 0.47 0.00 0.00 0.00 0.08 0.23 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.08 0.24 0.41 0.52 0.52 0.39 0.23 0.13 0.20 0.45 0.79 1.07 1.21 1.20 1.19 1.38 1.89 2.70 3.60 4.33 4.68 4.61 4.23 3.77 3.40 3.17 3.01 2.81 2.48 2.07 1.70 1.50 1.53 1.72 55.0 + 57.5 1.77 1.89 1.87 1.64 1.28 0.94 0.76 0.82 1.05 1.31 1.45 1.42 1.29 1.19 1.24 1.45 1.68 1.77 1.61 1.21 0.73 0.35 0.21 0.30 0.49 0.62 0.58 0.36 0.07 0.00 0.00 0.00 0.00 0.11 0.20 0.23 0.22 0.19 0.20 0.26 0.36 0.45 0.48 0.40 0.25 0.09 0.02 0.11 0.36 0.68 0.92 1.03 1.01 1.02 1.21 1.68 2.38 3.13 3.72 3.97 3.89 3.60 3.28 3.07 2.99 2.93 2.80 2.53 2.17 1.83 1.63 1.63 1.77 1.89 1.87 1.64 1.28 0.94 0.76 0.82 1.05 1.31 1.45 1.42 1.29 1.19 1.24 1.45 1.68 1.77 1.61 1.21 0.73 0.35 0.21 0.30 0.49 0.62 0.58 0.36 0.07 0.00 0.00 0.00 0.00 0.11 0.20 0.23 0.22 0.19 0.20 0.26 0.36 0.45 0.48 0.40 0.25 0.09 0.02 0.11 0.36 0.68 0.92 1.03 1.01 1.02 1.21 1.68 2.38 3.13 3.72 3.97 3.89 3.60 3.28 3.07 2.99 2.93 2.80 2.53 2.17 1.83 1.63 1.63 1.77 57.5 + 60.0 1.79 1.85 1.77 1.50 1.12 0.75 0.55 0.57 0.76 0.99 1.13 1.12 1.04 1.00 1.10 1.34 1.62 1.77 1.69 1.40 1.02 0.73 0.65 0.77 0.96 1.08 1.02 0.79 0.50 0.27 0.19 0.25 0.39 0.54 0.64 0.67 0.66 0.65 0.66 0.69 0.74 0.74 0.67 0.52 0.32 0.15 0.09 0.20 0.44 0.71 0.89 0.93 0.88 0.86 1.02 1.41 1.98 2.56 2.98 3.12 3.03 2.83 2.67 2.62 2.67 2.72 2.67 2.46 2.16 1.87 1.71 1.70 1.79 1.85 1.77 1.50 1.12 0.75 0.55 0.57 0.76 0.99 1.13 1.12 1.04 1.00 1.10 1.34 1.62 1.77 1.69 1.40 1.02 0.73 0.65 0.77 0.96 1.08 1.02 0.79 0.50 0.27 0.19 0.25 0.39 0.54 0.64 0.67 0.66 0.65 0.66 0.69 0.74 0.74 0.67 0.52 0.32 0.15 0.09 0.20 0.44 0.71 0.89 0.93 0.88 0.86 1.02 1.41 1.98 2.56 2.98 3.12 3.03 2.83 2.67 2.62 2.67 2.72 2.67 2.46 2.16 1.87 1.71 1.70 1.79 60.0 + 62.5 1.75 1.75 1.60 1.29 0.88 0.50 0.27 0.25 0.40 0.59 0.73 0.76 0.73 0.74 0.90 1.18 1.48 1.67 1.63 1.40 1.09 0.88 0.85 1.01 1.21 1.33 1.27 1.04 0.77 0.57 0.51 0.60 0.77 0.93 1.04 1.09 1.10 1.10 1.13 1.16 1.16 1.09 0.94 0.71 0.47 0.29 0.26 0.38 0.59 0.79 0.89 0.86 0.75 0.70 0.82 1.13 1.57 1.98 2.25 2.31 2.22 2.10 2.07 2.17 2.33 2.45 2.45 2.30 2.06 1.83 1.71 1.70 1.75 1.75 1.60 1.29 0.88 0.50 0.27 0.25 0.40 0.59 0.73 0.76 0.73 0.74 0.90 1.18 1.48 1.67 1.63 1.40 1.09 0.88 0.85 1.01 1.21 1.33 1.27 1.04 0.77 0.57 0.51 0.60 0.77 0.93 1.04 1.09 1.10 1.10 1.13 1.16 1.16 1.09 0.94 0.71 0.47 0.29 0.26 0.38 0.59 0.79 0.89 0.86 0.75 0.70 0.82 1.13 1.57 1.98 2.25 2.31 2.22 2.10 2.07 2.17 2.33 2.45 2.45 2.30 2.06 1.83 1.71 1.70 1.75 62.5 + 65.0 1.65 1.58 1.36 1.01 0.59 0.21 0.00 0.00 0.05 0.22 0.34 0.38 0.38 0.45 0.63 0.92 1.21 1.37 1.33 1.12 0.86 0.69 0.72 0.91 1.14 1.26 1.21 1.01 0.77 0.61 0.60 0.73 0.92 1.11 1.23 1.30 1.34 1.38 1.43 1.47 1.44 1.32 1.10 0.82 0.56 0.40 0.39 0.52 0.71 0.85 0.87 0.77 0.62 0.55 0.64 0.89 1.23 1.53 1.68 1.68 1.60 1.56 1.64 1.82 2.05 2.21 2.23 2.12 1.94 1.76 1.67 1.65 1.65 1.58 1.36 1.01 0.59 0.21 0.00 0.00 0.05 0.22 0.34 0.38 0.38 0.45 0.63 0.92 1.21 1.37 1.33 1.12 0.86 0.69 0.72 0.91 1.14 1.26 1.21 1.01 0.77 0.61 0.60 0.73 0.92 1.11 1.23 1.30 1.34 1.38 1.43 1.47 1.44 1.32 1.10 0.82 0.56 0.40 0.39 0.52 0.71 0.85 0.87 0.77 0.62 0.55 0.64 0.89 1.23 1.53 1.68 1.68 1.60 1.56 1.64 1.82 2.05 2.21 2.23 2.12 1.94 1.76 1.67 1.65 1.65 65.0 + 67.5 1.57 1.42 1.14 0.76 0.34 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.10 0.18 0.36 0.62 0.86 0.97 0.89 0.67 0.43 0.32 0.39 0.61 0.85 0.99 0.95 0.78 0.58 0.47 0.51 0.67 0.88 1.07 1.21 1.29 1.36 1.44 1.53 1.57 1.53 1.37 1.10 0.80 0.55 0.42 0.45 0.60 0.77 0.87 0.83 0.69 0.53 0.46 0.56 0.79 1.08 1.30 1.39 1.36 1.30 1.31 1.45 1.68 1.92 2.08 2.11 2.02 1.88 1.75 1.68 1.64 1.57 1.42 1.14 0.76 0.34 0.00 0.00 0.00 0.00 0.00 0.05 0.08 0.10 0.18 0.36 0.62 0.86 0.97 0.89 0.67 0.43 0.32 0.39 0.61 0.85 0.99 0.95 0.78 0.58 0.47 0.51 0.67 0.88 1.07 1.21 1.29 1.36 1.44 1.53 1.57 1.53 1.37 1.10 0.80 0.55 0.42 0.45 0.60 0.77 0.87 0.83 0.69 0.53 0.46 0.56 0.79 1.08 1.30 1.39 1.36 1.30 1.31 1.45 1.68 1.92 2.08 2.11 2.02 1.88 1.75 1.68 1.64 1.57 67.5 + 70.0 1.61 1.38 1.04 0.64 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.21 0.42 0.60 0.64 0.52 0.30 0.09 0.01 0.12 0.35 0.60 0.73 0.69 0.55 0.39 0.32 0.39 0.56 0.77 0.96 1.09 1.19 1.29 1.41 1.51 1.56 1.50 1.31 1.03 0.73 0.50 0.43 0.51 0.68 0.86 0.93 0.87 0.72 0.57 0.54 0.66 0.90 1.17 1.35 1.41 1.37 1.33 1.36 1.51 1.74 1.95 2.09 2.11 2.04 1.95 1.87 1.81 1.74 1.61 1.38 1.04 0.64 0.24 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.21 0.42 0.60 0.64 0.52 0.30 0.09 0.01 0.12 0.35 0.60 0.73 0.69 0.55 0.39 0.32 0.39 0.56 0.77 0.96 1.09 1.19 1.29 1.41 1.51 1.56 1.50 1.31 1.03 0.73 0.50 0.43 0.51 0.68 0.86 0.93 0.87 0.72 0.57 0.54 0.66 0.90 1.17 1.35 1.41 1.37 1.33 1.36 1.51 1.74 1.95 2.09 2.11 2.04 1.95 1.87 1.81 1.74 1.61 70.0 + 72.5 1.83 1.53 1.14 0.72 0.35 0.07 0.00 0.00 0.00 0.00 0.02 0.03 0.05 0.13 0.27 0.44 0.55 0.54 0.40 0.19 0.03 0.00 0.13 0.36 0.57 0.66 0.61 0.48 0.34 0.31 0.39 0.55 0.74 0.91 1.04 1.16 1.30 1.44 1.57 1.61 1.53 1.32 1.03 0.75 0.57 0.54 0.66 0.86 1.04 1.11 1.06 0.92 0.81 0.81 0.95 1.20 1.45 1.61 1.65 1.61 1.57 1.60 1.73 1.91 2.08 2.19 2.21 2.19 2.15 2.13 2.10 2.01 1.83 1.53 1.14 0.72 0.35 0.07 0.00 0.00 0.00 0.00 0.02 0.03 0.05 0.13 0.27 0.44 0.55 0.54 0.40 0.19 0.03 0.00 0.13 0.36 0.57 0.66 0.61 0.48 0.34 0.31 0.39 0.55 0.74 0.91 1.04 1.16 1.30 1.44 1.57 1.61 1.53 1.32 1.03 0.75 0.57 0.54 0.66 0.86 1.04 1.11 1.06 0.92 0.81 0.81 0.95 1.20 1.45 1.61 1.65 1.61 1.57 1.60 1.73 1.91 2.08 2.19 2.21 2.19 2.15 2.13 2.10 2.01 1.83 72.5 + 75.0 2.17 1.83 1.42 0.99 0.62 0.37 0.23 0.18 0.19 0.21 0.23 0.25 0.30 0.39 0.53 0.65 0.72 0.68 0.56 0.40 0.30 0.31 0.44 0.63 0.77 0.80 0.71 0.57 0.46 0.43 0.51 0.66 0.84 1.00 1.15 1.31 1.49 1.66 1.79 1.82 1.71 1.49 1.21 0.96 0.81 0.82 0.95 1.15 1.32 1.39 1.35 1.25 1.16 1.17 1.31 1.53 1.76 1.90 1.94 1.89 1.85 1.86 1.94 2.07 2.19 2.28 2.33 2.36 2.40 2.45 2.46 2.38 2.17 1.83 1.42 0.99 0.62 0.37 0.23 0.18 0.19 0.21 0.23 0.25 0.30 0.39 0.53 0.65 0.72 0.68 0.56 0.40 0.30 0.31 0.44 0.63 0.77 0.80 0.71 0.57 0.46 0.43 0.51 0.66 0.84 1.00 1.15 1.31 1.49 1.66 1.79 1.82 1.71 1.49 1.21 0.96 0.81 0.82 0.95 1.15 1.32 1.39 1.35 1.25 1.16 1.17 1.31 1.53 1.76 1.90 1.94 1.89 1.85 1.86 1.94 2.07 2.19 2.28 2.33 2.36 2.40 2.45 2.46 2.38 2.17 75.0 + 77.5 2.49 2.15 1.73 1.31 0.95 0.69 0.54 0.46 0.43 0.43 0.46 0.51 0.60 0.72 0.85 0.95 0.98 0.93 0.84 0.74 0.70 0.75 0.87 0.98 1.03 0.98 0.85 0.70 0.60 0.59 0.68 0.82 1.00 1.18 1.38 1.60 1.83 2.03 2.15 2.15 2.02 1.79 1.52 1.30 1.17 1.18 1.29 1.45 1.59 1.65 1.62 1.53 1.45 1.44 1.54 1.70 1.88 2.00 2.04 2.01 1.96 1.95 1.99 2.06 2.16 2.25 2.34 2.45 2.58 2.70 2.76 2.70 2.49 2.15 1.73 1.31 0.95 0.69 0.54 0.46 0.43 0.43 0.46 0.51 0.60 0.72 0.85 0.95 0.98 0.93 0.84 0.74 0.70 0.75 0.87 0.98 1.03 0.98 0.85 0.70 0.60 0.59 0.68 0.82 1.00 1.18 1.38 1.60 1.83 2.03 2.15 2.15 2.02 1.79 1.52 1.30 1.17 1.18 1.29 1.45 1.59 1.65 1.62 1.53 1.45 1.44 1.54 1.70 1.88 2.00 2.04 2.01 1.96 1.95 1.99 2.06 2.16 2.25 2.34 2.45 2.58 2.70 2.76 2.70 2.49 77.5 + 80.0 2.65 2.33 1.93 1.53 1.19 0.92 0.74 0.62 0.56 0.55 0.59 0.68 0.82 0.96 1.07 1.12 1.12 1.06 1.00 0.96 0.98 1.05 1.13 1.16 1.12 1.00 0.84 0.71 0.64 0.65 0.75 0.91 1.12 1.35 1.63 1.92 2.20 2.41 2.51 2.47 2.31 2.07 1.82 1.60 1.47 1.44 1.48 1.57 1.65 1.69 1.66 1.58 1.49 1.43 1.45 1.55 1.67 1.79 1.84 1.85 1.81 1.79 1.79 1.84 1.92 2.03 2.17 2.36 2.56 2.75 2.86 2.83 2.65 2.33 1.93 1.53 1.19 0.92 0.74 0.62 0.56 0.55 0.59 0.68 0.82 0.96 1.07 1.12 1.12 1.06 1.00 0.96 0.98 1.05 1.13 1.16 1.12 1.00 0.84 0.71 0.64 0.65 0.75 0.91 1.12 1.35 1.63 1.92 2.20 2.41 2.51 2.47 2.31 2.07 1.82 1.60 1.47 1.44 1.48 1.57 1.65 1.69 1.66 1.58 1.49 1.43 1.45 1.55 1.67 1.79 1.84 1.85 1.81 1.79 1.79 1.84 1.92 2.03 2.17 2.36 2.56 2.75 2.86 2.83 2.65 80.0 + 82.5 2.57 2.30 1.96 1.60 1.27 1.00 0.78 0.63 0.53 0.51 0.58 0.70 0.86 0.99 1.05 1.05 0.98 0.91 0.87 0.89 0.95 1.02 1.06 1.03 0.92 0.77 0.63 0.53 0.52 0.58 0.71 0.91 1.16 1.46 1.81 2.16 2.47 2.66 2.71 2.62 2.41 2.16 1.91 1.69 1.53 1.44 1.39 1.40 1.42 1.44 1.40 1.32 1.20 1.09 1.03 1.06 1.16 1.28 1.38 1.43 1.43 1.41 1.40 1.42 1.50 1.63 1.83 2.07 2.33 2.56 2.70 2.71 2.57 2.30 1.96 1.60 1.27 1.00 0.78 0.63 0.53 0.51 0.58 0.70 0.86 0.99 1.05 1.05 0.98 0.91 0.87 0.89 0.95 1.02 1.06 1.03 0.92 0.77 0.63 0.53 0.52 0.58 0.71 0.91 1.16 1.46 1.81 2.16 2.47 2.66 2.71 2.62 2.41 2.16 1.91 1.69 1.53 1.44 1.39 1.40 1.42 1.44 1.40 1.32 1.20 1.09 1.03 1.06 1.16 1.28 1.38 1.43 1.43 1.41 1.40 1.42 1.50 1.63 1.83 2.07 2.33 2.56 2.70 2.71 2.57 82.5 + 85.0 2.31 2.11 1.84 1.53 1.23 0.95 0.71 0.52 0.41 0.38 0.45 0.59 0.73 0.82 0.81 0.73 0.60 0.50 0.48 0.53 0.63 0.71 0.73 0.66 0.53 0.40 0.31 0.29 0.35 0.47 0.64 0.87 1.17 1.53 1.93 2.31 2.59 2.72 2.69 2.51 2.25 1.98 1.72 1.49 1.30 1.14 1.03 0.96 0.95 0.95 0.92 0.84 0.70 0.55 0.44 0.43 0.52 0.67 0.83 0.93 0.97 0.95 0.92 0.93 1.00 1.16 1.38 1.65 1.94 2.19 2.35 2.40 2.31 2.11 1.84 1.53 1.23 0.95 0.71 0.52 0.41 0.38 0.45 0.59 0.73 0.82 0.81 0.73 0.60 0.50 0.48 0.53 0.63 0.71 0.73 0.66 0.53 0.40 0.31 0.29 0.35 0.47 0.64 0.87 1.17 1.53 1.93 2.31 2.59 2.72 2.69 2.51 2.25 1.98 1.72 1.49 1.30 1.14 1.03 0.96 0.95 0.95 0.92 0.84 0.70 0.55 0.44 0.43 0.52 0.67 0.83 0.93 0.97 0.95 0.92 0.93 1.00 1.16 1.38 1.65 1.94 2.19 2.35 2.40 2.31 85.0 + 87.5 2.05 1.92 1.72 1.46 1.19 0.91 0.65 0.43 0.30 0.26 0.32 0.44 0.54 0.57 0.50 0.33 0.16 0.04 0.03 0.12 0.25 0.35 0.36 0.30 0.19 0.11 0.10 0.17 0.30 0.47 0.69 0.95 1.27 1.65 2.05 2.40 2.60 2.63 2.49 2.22 1.90 1.60 1.33 1.10 0.88 0.69 0.54 0.45 0.43 0.45 0.45 0.39 0.25 0.08 0.00 0.00 0.04 0.23 0.42 0.56 0.60 0.57 0.52 0.51 0.58 0.74 0.97 1.25 1.54 1.79 1.98 2.07 2.05 1.92 1.72 1.46 1.19 0.91 0.65 0.43 0.30 0.26 0.32 0.44 0.54 0.57 0.50 0.33 0.16 0.04 0.03 0.12 0.25 0.35 0.36 0.30 0.19 0.11 0.10 0.17 0.30 0.47 0.69 0.95 1.27 1.65 2.05 2.40 2.60 2.63 2.49 2.22 1.90 1.60 1.33 1.10 0.88 0.69 0.54 0.45 0.43 0.45 0.45 0.39 0.25 0.08 0.00 0.00 0.04 0.23 0.42 0.56 0.60 0.57 0.52 0.51 0.58 0.74 0.97 1.25 1.54 1.79 1.98 2.07 2.05 87.5 + 90.0 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 90.0 + + 85.0 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.56 ) PHI2 = 85. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 0.0 + 2.5 2.06 2.24 2.31 2.25 2.07 1.84 1.58 1.34 1.11 0.89 0.69 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.32 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.30 1.08 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.88 1.09 1.32 1.56 1.82 2.06 2.24 2.31 2.25 2.07 1.84 1.58 1.34 1.11 0.89 0.69 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.26 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.32 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.77 1.53 1.30 1.08 0.86 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.50 0.67 0.88 1.09 1.32 1.56 1.82 2.06 2.5 + 5.0 2.16 2.38 2.47 2.41 2.21 1.92 1.62 1.34 1.09 0.85 0.64 0.45 0.33 0.27 0.28 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.44 0.48 0.59 0.77 0.99 1.24 1.50 1.75 1.96 2.10 2.15 2.08 1.92 1.69 1.44 1.18 0.93 0.72 0.54 0.44 0.41 0.44 0.48 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.24 0.28 0.40 0.57 0.78 1.01 1.26 1.55 1.86 2.16 2.38 2.47 2.41 2.21 1.92 1.62 1.34 1.09 0.85 0.64 0.45 0.33 0.27 0.28 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.44 0.48 0.59 0.77 0.99 1.24 1.50 1.75 1.96 2.10 2.15 2.08 1.92 1.69 1.44 1.18 0.93 0.72 0.54 0.44 0.41 0.44 0.48 0.46 0.35 0.15 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.24 0.28 0.40 0.57 0.78 1.01 1.26 1.55 1.86 2.16 5.0 + 7.5 2.19 2.47 2.60 2.53 2.30 1.97 1.61 1.29 1.02 0.79 0.57 0.39 0.24 0.18 0.18 0.23 0.26 0.21 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.45 0.48 0.43 0.35 0.32 0.38 0.54 0.77 1.05 1.33 1.59 1.79 1.92 1.94 1.87 1.72 1.49 1.23 0.95 0.68 0.45 0.31 0.26 0.30 0.40 0.47 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.09 0.20 0.23 0.19 0.12 0.08 0.13 0.25 0.42 0.62 0.85 1.12 1.45 1.83 2.19 2.47 2.60 2.53 2.30 1.97 1.61 1.29 1.02 0.79 0.57 0.39 0.24 0.18 0.18 0.23 0.26 0.21 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.45 0.48 0.43 0.35 0.32 0.38 0.54 0.77 1.05 1.33 1.59 1.79 1.92 1.94 1.87 1.72 1.49 1.23 0.95 0.68 0.45 0.31 0.26 0.30 0.40 0.47 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.09 0.20 0.23 0.19 0.12 0.08 0.13 0.25 0.42 0.62 0.85 1.12 1.45 1.83 2.19 7.5 + 10.0 2.09 2.42 2.58 2.52 2.26 1.90 1.51 1.18 0.92 0.72 0.53 0.35 0.19 0.10 0.10 0.16 0.23 0.23 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.36 0.29 0.17 0.07 0.07 0.20 0.45 0.75 1.05 1.31 1.49 1.58 1.59 1.53 1.39 1.19 0.93 0.63 0.34 0.11 0.00 0.00 0.10 0.25 0.33 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.12 0.03 0.00 0.00 0.00 0.09 0.25 0.42 0.63 0.89 1.24 1.66 2.09 2.42 2.58 2.52 2.26 1.90 1.51 1.18 0.92 0.72 0.53 0.35 0.19 0.10 0.10 0.16 0.23 0.23 0.14 0.00 0.00 0.00 0.00 0.00 0.16 0.32 0.36 0.29 0.17 0.07 0.07 0.20 0.45 0.75 1.05 1.31 1.49 1.58 1.59 1.53 1.39 1.19 0.93 0.63 0.34 0.11 0.00 0.00 0.10 0.25 0.33 0.30 0.15 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.12 0.03 0.00 0.00 0.00 0.09 0.25 0.42 0.63 0.89 1.24 1.66 2.09 10.0 + 12.5 1.85 2.23 2.41 2.35 2.09 1.72 1.33 1.03 0.82 0.67 0.53 0.37 0.21 0.08 0.05 0.10 0.18 0.22 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.12 0.00 0.00 0.00 0.00 0.11 0.43 0.74 0.98 1.13 1.19 1.18 1.13 1.03 0.86 0.62 0.32 0.02 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.37 0.60 0.94 1.38 1.85 2.23 2.41 2.35 2.09 1.72 1.33 1.03 0.82 0.67 0.53 0.37 0.21 0.08 0.05 0.10 0.18 0.22 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.12 0.00 0.00 0.00 0.00 0.11 0.43 0.74 0.98 1.13 1.19 1.18 1.13 1.03 0.86 0.62 0.32 0.02 0.00 0.00 0.00 0.00 0.06 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.22 0.37 0.60 0.94 1.38 1.85 12.5 + 15.0 1.59 1.99 2.20 2.15 1.89 1.51 1.15 0.89 0.75 0.68 0.60 0.47 0.29 0.13 0.05 0.08 0.16 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.26 0.56 0.77 0.87 0.89 0.87 0.84 0.78 0.65 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.16 0.34 0.66 1.11 1.59 1.99 2.20 2.15 1.89 1.51 1.15 0.89 0.75 0.68 0.60 0.47 0.29 0.13 0.05 0.08 0.16 0.20 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.26 0.56 0.77 0.87 0.89 0.87 0.84 0.78 0.65 0.44 0.16 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.08 0.16 0.34 0.66 1.11 1.59 15.0 + 17.5 1.46 1.87 2.08 2.03 1.77 1.40 1.07 0.86 0.79 0.77 0.74 0.62 0.42 0.23 0.11 0.12 0.21 0.26 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.24 0.17 0.00 0.00 0.00 0.00 0.00 0.33 0.61 0.79 0.85 0.84 0.81 0.79 0.76 0.68 0.50 0.23 0.00 0.00 0.00 0.00 0.00 0.11 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.08 0.21 0.51 0.96 1.46 1.87 2.08 2.03 1.77 1.40 1.07 0.86 0.79 0.77 0.74 0.62 0.42 0.23 0.11 0.12 0.21 0.26 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.24 0.17 0.00 0.00 0.00 0.00 0.00 0.33 0.61 0.79 0.85 0.84 0.81 0.79 0.76 0.68 0.50 0.23 0.00 0.00 0.00 0.00 0.00 0.11 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.05 0.08 0.21 0.51 0.96 1.46 17.5 + 20.0 1.52 1.94 2.14 2.08 1.80 1.45 1.14 0.97 0.94 0.96 0.94 0.81 0.59 0.36 0.23 0.24 0.34 0.42 0.37 0.16 0.00 0.00 0.00 0.00 0.10 0.41 0.55 0.47 0.25 0.02 0.00 0.02 0.28 0.61 0.88 1.02 1.05 1.02 0.98 0.97 0.97 0.92 0.76 0.50 0.20 0.00 0.00 0.03 0.27 0.47 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.08 0.23 0.21 0.06 0.00 0.00 0.00 0.04 0.16 0.20 0.17 0.15 0.26 0.55 1.01 1.52 1.94 2.14 2.08 1.80 1.45 1.14 0.97 0.94 0.96 0.94 0.81 0.59 0.36 0.23 0.24 0.34 0.42 0.37 0.16 0.00 0.00 0.00 0.00 0.10 0.41 0.55 0.47 0.25 0.02 0.00 0.02 0.28 0.61 0.88 1.02 1.05 1.02 0.98 0.97 0.97 0.92 0.76 0.50 0.20 0.00 0.00 0.03 0.27 0.47 0.50 0.31 0.00 0.00 0.00 0.00 0.00 0.08 0.23 0.21 0.06 0.00 0.00 0.00 0.04 0.16 0.20 0.17 0.15 0.26 0.55 1.01 1.52 20.0 + 22.5 1.73 2.14 2.33 2.25 1.96 1.61 1.32 1.18 1.17 1.21 1.18 1.02 0.77 0.52 0.40 0.43 0.57 0.68 0.65 0.45 0.16 0.00 0.00 0.14 0.47 0.77 0.88 0.78 0.54 0.30 0.21 0.33 0.60 0.92 1.17 1.30 1.32 1.27 1.24 1.24 1.25 1.21 1.06 0.81 0.52 0.30 0.26 0.41 0.68 0.91 0.96 0.78 0.45 0.13 0.00 0.07 0.32 0.58 0.69 0.61 0.40 0.20 0.11 0.17 0.31 0.43 0.46 0.41 0.37 0.46 0.75 1.21 1.73 2.14 2.33 2.25 1.96 1.61 1.32 1.18 1.17 1.21 1.18 1.02 0.77 0.52 0.40 0.43 0.57 0.68 0.65 0.45 0.16 0.00 0.00 0.14 0.47 0.77 0.88 0.78 0.54 0.30 0.21 0.33 0.60 0.92 1.17 1.30 1.32 1.27 1.24 1.24 1.25 1.21 1.06 0.81 0.52 0.30 0.26 0.41 0.68 0.91 0.96 0.78 0.45 0.13 0.00 0.07 0.32 0.58 0.69 0.61 0.40 0.20 0.11 0.17 0.31 0.43 0.46 0.41 0.37 0.46 0.75 1.21 1.73 22.5 + 25.0 1.96 2.35 2.51 2.41 2.11 1.77 1.51 1.41 1.43 1.47 1.42 1.23 0.96 0.72 0.63 0.71 0.89 1.01 0.97 0.74 0.44 0.21 0.19 0.40 0.72 0.98 1.04 0.89 0.63 0.39 0.32 0.45 0.73 1.04 1.28 1.40 1.40 1.36 1.33 1.34 1.36 1.33 1.19 0.94 0.67 0.46 0.44 0.62 0.91 1.18 1.26 1.11 0.81 0.53 0.41 0.52 0.80 1.06 1.16 1.04 0.78 0.53 0.41 0.46 0.61 0.74 0.77 0.70 0.64 0.72 1.00 1.45 1.96 2.35 2.51 2.41 2.11 1.77 1.51 1.41 1.43 1.47 1.42 1.23 0.96 0.72 0.63 0.71 0.89 1.01 0.97 0.74 0.44 0.21 0.19 0.40 0.72 0.98 1.04 0.89 0.63 0.39 0.32 0.45 0.73 1.04 1.28 1.40 1.40 1.36 1.33 1.34 1.36 1.33 1.19 0.94 0.67 0.46 0.44 0.62 0.91 1.18 1.26 1.11 0.81 0.53 0.41 0.52 0.80 1.06 1.16 1.04 0.78 0.53 0.41 0.46 0.61 0.74 0.77 0.70 0.64 0.72 1.00 1.45 1.96 25.0 + 27.5 2.05 2.42 2.55 2.42 2.12 1.80 1.60 1.56 1.63 1.69 1.63 1.43 1.17 0.97 0.94 1.08 1.28 1.39 1.28 0.96 0.58 0.30 0.25 0.43 0.71 0.91 0.91 0.71 0.42 0.20 0.15 0.30 0.58 0.87 1.08 1.17 1.17 1.13 1.11 1.13 1.16 1.13 1.00 0.77 0.50 0.31 0.30 0.49 0.81 1.10 1.22 1.11 0.84 0.59 0.52 0.70 1.03 1.34 1.48 1.37 1.10 0.82 0.68 0.73 0.89 1.03 1.06 0.98 0.89 0.92 1.16 1.58 2.05 2.42 2.55 2.42 2.12 1.80 1.60 1.56 1.63 1.69 1.63 1.43 1.17 0.97 0.94 1.08 1.28 1.39 1.28 0.96 0.58 0.30 0.25 0.43 0.71 0.91 0.91 0.71 0.42 0.20 0.15 0.30 0.58 0.87 1.08 1.17 1.17 1.13 1.11 1.13 1.16 1.13 1.00 0.77 0.50 0.31 0.30 0.49 0.81 1.10 1.22 1.11 0.84 0.59 0.52 0.70 1.03 1.34 1.48 1.37 1.10 0.82 0.68 0.73 0.89 1.03 1.06 0.98 0.89 0.92 1.16 1.58 2.05 27.5 + 30.0 1.96 2.28 2.38 2.23 1.93 1.66 1.53 1.57 1.71 1.82 1.79 1.63 1.42 1.30 1.37 1.58 1.79 1.83 1.59 1.13 0.61 0.23 0.13 0.27 0.50 0.64 0.58 0.33 0.02 0.00 0.00 0.00 0.22 0.48 0.64 0.69 0.67 0.62 0.61 0.63 0.67 0.65 0.54 0.32 0.07 0.00 0.00 0.07 0.39 0.69 0.82 0.73 0.50 0.28 0.27 0.52 0.96 1.38 1.61 1.56 1.31 1.03 0.89 0.94 1.11 1.26 1.28 1.17 1.02 0.99 1.16 1.53 1.96 2.28 2.38 2.23 1.93 1.66 1.53 1.57 1.71 1.82 1.79 1.63 1.42 1.30 1.37 1.58 1.79 1.83 1.59 1.13 0.61 0.23 0.13 0.27 0.50 0.64 0.58 0.33 0.02 0.00 0.00 0.00 0.22 0.48 0.64 0.69 0.67 0.62 0.61 0.63 0.67 0.65 0.54 0.32 0.07 0.00 0.00 0.07 0.39 0.69 0.82 0.73 0.50 0.28 0.27 0.52 0.96 1.38 1.61 1.56 1.31 1.03 0.89 0.94 1.11 1.26 1.28 1.17 1.02 0.99 1.16 1.53 1.96 30.0 + 32.5 1.72 2.01 2.07 1.89 1.60 1.36 1.30 1.44 1.67 1.86 1.89 1.80 1.69 1.71 1.90 2.20 2.41 2.36 1.97 1.32 0.63 0.15 0.00 0.09 0.29 0.38 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.22 0.20 0.12 0.05 0.03 0.07 0.12 0.13 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.19 0.00 0.00 0.00 0.15 0.71 1.28 1.64 1.68 1.48 1.22 1.06 1.10 1.26 1.40 1.40 1.24 1.03 0.92 1.02 1.33 1.72 2.01 2.07 1.89 1.60 1.36 1.30 1.44 1.67 1.86 1.89 1.80 1.69 1.71 1.90 2.20 2.41 2.36 1.97 1.32 0.63 0.15 0.00 0.09 0.29 0.38 0.26 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.22 0.20 0.12 0.05 0.03 0.07 0.12 0.13 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.28 0.19 0.00 0.00 0.00 0.15 0.71 1.28 1.64 1.68 1.48 1.22 1.06 1.10 1.26 1.40 1.40 1.24 1.03 0.92 1.02 1.33 1.72 32.5 + 35.0 1.47 1.73 1.76 1.55 1.25 1.03 1.02 1.23 1.54 1.81 1.93 1.95 1.97 2.15 2.49 2.89 3.12 2.99 2.43 1.61 0.77 0.20 0.00 0.10 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.53 1.25 1.74 1.89 1.72 1.45 1.25 1.24 1.37 1.47 1.43 1.22 0.95 0.77 0.83 1.10 1.47 1.73 1.76 1.55 1.25 1.03 1.02 1.23 1.54 1.81 1.93 1.95 1.97 2.15 2.49 2.89 3.12 2.99 2.43 1.61 0.77 0.20 0.00 0.10 0.29 0.35 0.21 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.53 1.25 1.74 1.89 1.72 1.45 1.25 1.24 1.37 1.47 1.43 1.22 0.95 0.77 0.83 1.10 1.47 35.0 + 37.5 1.32 1.57 1.58 1.34 0.99 0.75 0.75 1.00 1.37 1.71 1.92 2.04 2.21 2.55 3.05 3.56 3.81 3.62 2.94 1.98 1.05 0.43 0.24 0.36 0.57 0.64 0.48 0.17 0.00 0.00 0.00 0.03 0.25 0.34 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.63 1.47 2.08 2.28 2.12 1.79 1.51 1.41 1.45 1.50 1.40 1.14 0.83 0.62 0.67 0.95 1.32 1.57 1.58 1.34 0.99 0.75 0.75 1.00 1.37 1.71 1.92 2.04 2.21 2.55 3.05 3.56 3.81 3.62 2.94 1.98 1.05 0.43 0.24 0.36 0.57 0.64 0.48 0.17 0.00 0.00 0.00 0.03 0.25 0.34 0.28 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.63 1.47 2.08 2.28 2.12 1.79 1.51 1.41 1.45 1.50 1.40 1.14 0.83 0.62 0.67 0.95 1.32 37.5 + 40.0 1.30 1.57 1.56 1.27 0.88 0.60 0.58 0.83 1.22 1.59 1.86 2.06 2.34 2.81 3.44 4.03 4.32 4.09 3.34 2.31 1.34 0.73 0.57 0.75 1.00 1.08 0.93 0.62 0.33 0.23 0.35 0.59 0.80 0.87 0.75 0.51 0.24 0.06 0.02 0.12 0.28 0.41 0.41 0.26 0.00 0.00 0.00 0.00 0.00 0.22 0.30 0.14 0.00 0.00 0.00 0.19 1.06 1.99 2.66 2.88 2.67 2.24 1.84 1.62 1.55 1.52 1.36 1.06 0.72 0.52 0.59 0.90 1.30 1.57 1.56 1.27 0.88 0.60 0.58 0.83 1.22 1.59 1.86 2.06 2.34 2.81 3.44 4.03 4.32 4.09 3.34 2.31 1.34 0.73 0.57 0.75 1.00 1.08 0.93 0.62 0.33 0.23 0.35 0.59 0.80 0.87 0.75 0.51 0.24 0.06 0.02 0.12 0.28 0.41 0.41 0.26 0.00 0.00 0.00 0.00 0.00 0.22 0.30 0.14 0.00 0.00 0.00 0.19 1.06 1.99 2.66 2.88 2.67 2.24 1.84 1.62 1.55 1.52 1.36 1.06 0.72 0.52 0.59 0.90 1.30 40.0 + 42.5 1.37 1.65 1.63 1.31 0.88 0.56 0.51 0.74 1.13 1.50 1.78 2.02 2.34 2.87 3.56 4.19 4.48 4.23 3.46 2.41 1.44 0.87 0.77 1.00 1.29 1.40 1.25 0.95 0.69 0.61 0.76 1.02 1.25 1.31 1.18 0.92 0.64 0.46 0.44 0.57 0.79 0.96 1.01 0.87 0.60 0.33 0.19 0.28 0.54 0.80 0.88 0.70 0.36 0.11 0.20 0.76 1.69 2.67 3.37 3.57 3.29 2.76 2.22 1.87 1.69 1.56 1.35 1.01 0.67 0.48 0.58 0.94 1.37 1.65 1.63 1.31 0.88 0.56 0.51 0.74 1.13 1.50 1.78 2.02 2.34 2.87 3.56 4.19 4.48 4.23 3.46 2.41 1.44 0.87 0.77 1.00 1.29 1.40 1.25 0.95 0.69 0.61 0.76 1.02 1.25 1.31 1.18 0.92 0.64 0.46 0.44 0.57 0.79 0.96 1.01 0.87 0.60 0.33 0.19 0.28 0.54 0.80 0.88 0.70 0.36 0.11 0.20 0.76 1.69 2.67 3.37 3.57 3.29 2.76 2.22 1.87 1.69 1.56 1.35 1.01 0.67 0.48 0.58 0.94 1.37 42.5 + 45.0 1.44 1.73 1.70 1.37 0.91 0.57 0.51 0.73 1.10 1.45 1.70 1.91 2.21 2.71 3.36 3.96 4.23 3.96 3.18 2.15 1.22 0.70 0.64 0.92 1.23 1.36 1.22 0.93 0.69 0.63 0.80 1.08 1.32 1.40 1.29 1.05 0.80 0.65 0.66 0.83 1.09 1.31 1.39 1.27 1.01 0.74 0.61 0.70 0.96 1.24 1.33 1.16 0.83 0.59 0.72 1.32 2.29 3.30 4.00 4.17 3.84 3.21 2.58 2.13 1.86 1.66 1.39 1.03 0.67 0.50 0.62 0.99 1.44 1.73 1.70 1.37 0.91 0.57 0.51 0.73 1.10 1.45 1.70 1.91 2.21 2.71 3.36 3.96 4.23 3.96 3.18 2.15 1.22 0.70 0.64 0.92 1.23 1.36 1.22 0.93 0.69 0.63 0.80 1.08 1.32 1.40 1.29 1.05 0.80 0.65 0.66 0.83 1.09 1.31 1.39 1.27 1.01 0.74 0.61 0.70 0.96 1.24 1.33 1.16 0.83 0.59 0.72 1.32 2.29 3.30 4.00 4.17 3.84 3.21 2.58 2.13 1.86 1.66 1.39 1.03 0.67 0.50 0.62 0.99 1.44 45.0 + 47.5 1.46 1.74 1.70 1.38 0.94 0.62 0.56 0.78 1.14 1.45 1.65 1.77 1.98 2.37 2.92 3.43 3.64 3.35 2.59 1.60 0.72 0.24 0.21 0.49 0.81 0.94 0.81 0.54 0.30 0.25 0.42 0.70 0.96 1.07 1.00 0.81 0.61 0.50 0.55 0.75 1.03 1.27 1.37 1.27 1.03 0.77 0.66 0.77 1.06 1.35 1.46 1.31 1.02 0.84 1.02 1.67 2.67 3.69 4.39 4.53 4.16 3.51 2.84 2.35 2.04 1.81 1.51 1.13 0.76 0.57 0.67 1.03 1.46 1.74 1.70 1.38 0.94 0.62 0.56 0.78 1.14 1.45 1.65 1.77 1.98 2.37 2.92 3.43 3.64 3.35 2.59 1.60 0.72 0.24 0.21 0.49 0.81 0.94 0.81 0.54 0.30 0.25 0.42 0.70 0.96 1.07 1.00 0.81 0.61 0.50 0.55 0.75 1.03 1.27 1.37 1.27 1.03 0.77 0.66 0.77 1.06 1.35 1.46 1.31 1.02 0.84 1.02 1.67 2.67 3.69 4.39 4.53 4.16 3.51 2.84 2.35 2.04 1.81 1.51 1.13 0.76 0.57 0.67 1.03 1.46 47.5 + 50.0 1.47 1.71 1.67 1.36 0.96 0.67 0.65 0.88 1.22 1.49 1.62 1.64 1.72 1.96 2.37 2.77 2.91 2.61 1.90 0.97 0.16 0.00 0.00 0.00 0.25 0.37 0.24 0.00 0.00 0.00 0.00 0.10 0.35 0.49 0.47 0.35 0.20 0.14 0.21 0.41 0.68 0.91 1.00 0.91 0.69 0.46 0.38 0.52 0.82 1.13 1.26 1.15 0.92 0.81 1.05 1.75 2.76 3.76 4.43 4.56 4.19 3.56 2.94 2.48 2.21 1.98 1.69 1.29 0.91 0.70 0.77 1.08 1.47 1.71 1.67 1.36 0.96 0.67 0.65 0.88 1.22 1.49 1.62 1.64 1.72 1.96 2.37 2.77 2.91 2.61 1.90 0.97 0.16 0.00 0.00 0.00 0.25 0.37 0.24 0.00 0.00 0.00 0.00 0.10 0.35 0.49 0.47 0.35 0.20 0.14 0.21 0.41 0.68 0.91 1.00 0.91 0.69 0.46 0.38 0.52 0.82 1.13 1.26 1.15 0.92 0.81 1.05 1.75 2.76 3.76 4.43 4.56 4.19 3.56 2.94 2.48 2.21 1.98 1.69 1.29 0.91 0.70 0.77 1.08 1.47 50.0 + 52.5 1.53 1.73 1.67 1.38 1.01 0.76 0.75 0.98 1.30 1.53 1.59 1.53 1.48 1.59 1.87 2.17 2.27 2.01 1.37 0.54 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.06 0.28 0.47 0.52 0.42 0.21 0.02 0.00 0.14 0.46 0.77 0.91 0.84 0.67 0.62 0.92 1.63 2.60 3.54 4.14 4.25 3.92 3.37 2.86 2.51 2.31 2.15 1.88 1.51 1.14 0.91 0.94 1.20 1.53 1.73 1.67 1.38 1.01 0.76 0.75 0.98 1.30 1.53 1.59 1.53 1.48 1.59 1.87 2.17 2.27 2.01 1.37 0.54 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.06 0.28 0.47 0.52 0.42 0.21 0.02 0.00 0.14 0.46 0.77 0.91 0.84 0.67 0.62 0.92 1.63 2.60 3.54 4.14 4.25 3.92 3.37 2.86 2.51 2.31 2.15 1.88 1.51 1.14 0.91 0.94 1.20 1.53 52.5 + 55.0 1.68 1.84 1.75 1.46 1.10 0.85 0.84 1.05 1.33 1.53 1.55 1.42 1.30 1.32 1.51 1.77 1.88 1.69 1.17 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.21 0.07 0.00 0.00 0.00 0.00 0.21 0.51 0.65 0.60 0.46 0.45 0.76 1.43 2.31 3.13 3.63 3.70 3.41 2.98 2.61 2.41 2.34 2.25 2.06 1.73 1.39 1.18 1.20 1.41 1.68 1.84 1.75 1.46 1.10 0.85 0.84 1.05 1.33 1.53 1.55 1.42 1.30 1.32 1.51 1.77 1.88 1.69 1.17 0.47 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.22 0.21 0.07 0.00 0.00 0.00 0.00 0.21 0.51 0.65 0.60 0.46 0.45 0.76 1.43 2.31 3.13 3.63 3.70 3.41 2.98 2.61 2.41 2.34 2.25 2.06 1.73 1.39 1.18 1.20 1.41 1.68 55.0 + 57.5 1.91 2.02 1.89 1.57 1.19 0.92 0.87 1.03 1.27 1.43 1.43 1.29 1.15 1.14 1.31 1.57 1.73 1.64 1.26 0.71 0.21 0.00 0.00 0.14 0.34 0.38 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.14 0.10 0.08 0.11 0.20 0.28 0.30 0.22 0.03 0.00 0.00 0.00 0.00 0.22 0.49 0.60 0.52 0.39 0.38 0.66 1.24 1.97 2.62 2.99 3.00 2.76 2.45 2.25 2.21 2.26 2.27 2.15 1.90 1.62 1.46 1.49 1.68 1.91 2.02 1.89 1.57 1.19 0.92 0.87 1.03 1.27 1.43 1.43 1.29 1.15 1.14 1.31 1.57 1.73 1.64 1.26 0.71 0.21 0.00 0.00 0.14 0.34 0.38 0.22 0.00 0.00 0.00 0.00 0.00 0.00 0.09 0.15 0.14 0.10 0.08 0.11 0.20 0.28 0.30 0.22 0.03 0.00 0.00 0.00 0.00 0.22 0.49 0.60 0.52 0.39 0.38 0.66 1.24 1.97 2.62 2.99 3.00 2.76 2.45 2.25 2.21 2.26 2.27 2.15 1.90 1.62 1.46 1.49 1.68 1.91 57.5 + 60.0 2.12 2.17 2.00 1.64 1.21 0.89 0.78 0.88 1.07 1.21 1.21 1.09 0.97 0.98 1.17 1.46 1.69 1.69 1.44 1.02 0.63 0.44 0.49 0.70 0.89 0.92 0.75 0.44 0.15 0.00 0.03 0.19 0.41 0.57 0.65 0.65 0.62 0.61 0.64 0.68 0.70 0.64 0.48 0.24 0.00 0.00 0.00 0.15 0.44 0.66 0.70 0.59 0.42 0.39 0.60 1.06 1.63 2.10 2.32 2.28 2.08 1.89 1.84 1.94 2.10 2.20 2.15 1.97 1.77 1.66 1.73 1.92 2.12 2.17 2.00 1.64 1.21 0.89 0.78 0.88 1.07 1.21 1.21 1.09 0.97 0.98 1.17 1.46 1.69 1.69 1.44 1.02 0.63 0.44 0.49 0.70 0.89 0.92 0.75 0.44 0.15 0.00 0.03 0.19 0.41 0.57 0.65 0.65 0.62 0.61 0.64 0.68 0.70 0.64 0.48 0.24 0.00 0.00 0.00 0.15 0.44 0.66 0.70 0.59 0.42 0.39 0.60 1.06 1.63 2.10 2.32 2.28 2.08 1.89 1.84 1.94 2.10 2.20 2.15 1.97 1.77 1.66 1.73 1.92 2.12 60.0 + 62.5 2.20 2.20 1.97 1.56 1.10 0.73 0.57 0.61 0.76 0.88 0.89 0.81 0.73 0.78 0.99 1.30 1.56 1.63 1.46 1.14 0.84 0.71 0.81 1.05 1.26 1.29 1.12 0.82 0.54 0.40 0.44 0.62 0.84 1.02 1.11 1.12 1.11 1.11 1.14 1.17 1.15 1.02 0.80 0.51 0.27 0.16 0.23 0.45 0.70 0.85 0.82 0.64 0.44 0.37 0.52 0.87 1.29 1.60 1.71 1.63 1.48 1.40 1.47 1.68 1.91 2.05 2.04 1.92 1.79 1.75 1.86 2.04 2.20 2.20 1.97 1.56 1.10 0.73 0.57 0.61 0.76 0.88 0.89 0.81 0.73 0.78 0.99 1.30 1.56 1.63 1.46 1.14 0.84 0.71 0.81 1.05 1.26 1.29 1.12 0.82 0.54 0.40 0.44 0.62 0.84 1.02 1.11 1.12 1.11 1.11 1.14 1.17 1.15 1.02 0.80 0.51 0.27 0.16 0.23 0.45 0.70 0.85 0.82 0.64 0.44 0.37 0.52 0.87 1.29 1.60 1.71 1.63 1.48 1.40 1.47 1.68 1.91 2.05 2.04 1.92 1.79 1.75 1.86 2.04 2.20 62.5 + 65.0 2.13 2.07 1.78 1.33 0.84 0.46 0.27 0.27 0.39 0.50 0.52 0.46 0.42 0.49 0.71 1.01 1.26 1.33 1.18 0.91 0.67 0.61 0.75 1.02 1.25 1.31 1.16 0.89 0.63 0.52 0.59 0.79 1.03 1.22 1.31 1.34 1.35 1.37 1.42 1.44 1.39 1.23 0.96 0.65 0.41 0.32 0.42 0.64 0.85 0.93 0.82 0.59 0.35 0.26 0.38 0.67 0.99 1.20 1.24 1.15 1.04 1.05 1.21 1.47 1.73 1.88 1.89 1.80 1.72 1.73 1.85 2.03 2.13 2.07 1.78 1.33 0.84 0.46 0.27 0.27 0.39 0.50 0.52 0.46 0.42 0.49 0.71 1.01 1.26 1.33 1.18 0.91 0.67 0.61 0.75 1.02 1.25 1.31 1.16 0.89 0.63 0.52 0.59 0.79 1.03 1.22 1.31 1.34 1.35 1.37 1.42 1.44 1.39 1.23 0.96 0.65 0.41 0.32 0.42 0.64 0.85 0.93 0.82 0.59 0.35 0.26 0.38 0.67 0.99 1.20 1.24 1.15 1.04 1.05 1.21 1.47 1.73 1.88 1.89 1.80 1.72 1.73 1.85 2.03 2.13 65.0 + 67.5 1.99 1.85 1.52 1.04 0.55 0.17 0.00 0.00 0.06 0.15 0.16 0.12 0.09 0.17 0.36 0.62 0.82 0.85 0.69 0.43 0.23 0.21 0.39 0.69 0.94 1.02 0.90 0.66 0.45 0.37 0.48 0.70 0.95 1.14 1.24 1.28 1.31 1.36 1.42 1.45 1.38 1.18 0.89 0.57 0.35 0.30 0.43 0.64 0.82 0.85 0.69 0.43 0.19 0.11 0.24 0.51 0.78 0.95 0.96 0.88 0.82 0.89 1.09 1.37 1.62 1.75 1.75 1.68 1.63 1.68 1.81 1.94 1.99 1.85 1.52 1.04 0.55 0.17 0.00 0.00 0.06 0.15 0.16 0.12 0.09 0.17 0.36 0.62 0.82 0.85 0.69 0.43 0.23 0.21 0.39 0.69 0.94 1.02 0.90 0.66 0.45 0.37 0.48 0.70 0.95 1.14 1.24 1.28 1.31 1.36 1.42 1.45 1.38 1.18 0.89 0.57 0.35 0.30 0.43 0.64 0.82 0.85 0.69 0.43 0.19 0.11 0.24 0.51 0.78 0.95 0.96 0.88 0.82 0.89 1.09 1.37 1.62 1.75 1.75 1.68 1.63 1.68 1.81 1.94 1.99 67.5 + 70.0 1.90 1.70 1.31 0.82 0.35 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.39 0.20 0.00 0.00 0.00 0.00 0.30 0.56 0.64 0.54 0.33 0.16 0.12 0.25 0.49 0.74 0.93 1.04 1.09 1.15 1.22 1.29 1.31 1.22 0.99 0.69 0.39 0.20 0.18 0.34 0.56 0.72 0.72 0.54 0.28 0.07 0.03 0.19 0.47 0.74 0.89 0.91 0.84 0.82 0.91 1.12 1.38 1.59 1.69 1.69 1.64 1.63 1.69 1.82 1.92 1.90 1.70 1.31 0.82 0.35 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.28 0.41 0.39 0.20 0.00 0.00 0.00 0.00 0.30 0.56 0.64 0.54 0.33 0.16 0.12 0.25 0.49 0.74 0.93 1.04 1.09 1.15 1.22 1.29 1.31 1.22 0.99 0.69 0.39 0.20 0.18 0.34 0.56 0.72 0.72 0.54 0.28 0.07 0.03 0.19 0.47 0.74 0.89 0.91 0.84 0.82 0.91 1.12 1.38 1.59 1.69 1.69 1.64 1.63 1.69 1.82 1.92 1.90 70.0 + 72.5 1.97 1.71 1.29 0.80 0.33 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.40 0.29 0.11 0.00 0.00 0.11 0.35 0.59 0.78 0.90 0.98 1.07 1.16 1.23 1.23 1.10 0.86 0.55 0.26 0.11 0.13 0.30 0.52 0.67 0.67 0.51 0.28 0.11 0.11 0.29 0.58 0.85 1.00 1.02 0.97 0.95 1.04 1.22 1.44 1.62 1.70 1.71 1.70 1.74 1.85 1.98 2.05 1.97 1.71 1.29 0.80 0.33 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.13 0.20 0.13 0.00 0.00 0.00 0.00 0.00 0.12 0.34 0.40 0.29 0.11 0.00 0.00 0.11 0.35 0.59 0.78 0.90 0.98 1.07 1.16 1.23 1.23 1.10 0.86 0.55 0.26 0.11 0.13 0.30 0.52 0.67 0.67 0.51 0.28 0.11 0.11 0.29 0.58 0.85 1.00 1.02 0.97 0.95 1.04 1.22 1.44 1.62 1.70 1.71 1.70 1.74 1.85 1.98 2.05 1.97 72.5 + 75.0 2.21 1.91 1.47 0.97 0.52 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.21 0.25 0.16 0.00 0.00 0.00 0.00 0.00 0.23 0.39 0.40 0.27 0.09 0.00 0.00 0.14 0.37 0.61 0.81 0.96 1.08 1.20 1.31 1.37 1.34 1.19 0.92 0.61 0.34 0.21 0.24 0.41 0.62 0.76 0.77 0.63 0.44 0.31 0.32 0.50 0.77 1.02 1.17 1.19 1.15 1.12 1.18 1.32 1.50 1.65 1.74 1.79 1.84 1.95 2.11 2.26 2.32 2.21 1.91 1.47 0.97 0.52 0.19 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.21 0.25 0.16 0.00 0.00 0.00 0.00 0.00 0.23 0.39 0.40 0.27 0.09 0.00 0.00 0.14 0.37 0.61 0.81 0.96 1.08 1.20 1.31 1.37 1.34 1.19 0.92 0.61 0.34 0.21 0.24 0.41 0.62 0.76 0.77 0.63 0.44 0.31 0.32 0.50 0.77 1.02 1.17 1.19 1.15 1.12 1.18 1.32 1.50 1.65 1.74 1.79 1.84 1.95 2.11 2.26 2.32 2.21 75.0 + 77.5 2.49 2.18 1.74 1.25 0.81 0.48 0.27 0.15 0.08 0.03 0.00 0.00 0.07 0.19 0.34 0.45 0.46 0.38 0.23 0.11 0.09 0.19 0.36 0.53 0.60 0.54 0.39 0.22 0.13 0.16 0.31 0.53 0.77 1.00 1.20 1.38 1.54 1.66 1.71 1.65 1.46 1.18 0.88 0.63 0.50 0.51 0.64 0.81 0.93 0.94 0.83 0.67 0.55 0.54 0.67 0.89 1.11 1.24 1.27 1.23 1.20 1.23 1.33 1.47 1.61 1.73 1.84 1.98 2.16 2.37 2.55 2.61 2.49 2.18 1.74 1.25 0.81 0.48 0.27 0.15 0.08 0.03 0.00 0.00 0.07 0.19 0.34 0.45 0.46 0.38 0.23 0.11 0.09 0.19 0.36 0.53 0.60 0.54 0.39 0.22 0.13 0.16 0.31 0.53 0.77 1.00 1.20 1.38 1.54 1.66 1.71 1.65 1.46 1.18 0.88 0.63 0.50 0.51 0.64 0.81 0.93 0.94 0.83 0.67 0.55 0.54 0.67 0.89 1.11 1.24 1.27 1.23 1.20 1.23 1.33 1.47 1.61 1.73 1.84 1.98 2.16 2.37 2.55 2.61 2.49 77.5 + 80.0 2.66 2.37 1.96 1.50 1.09 0.76 0.52 0.36 0.25 0.18 0.16 0.21 0.32 0.46 0.59 0.67 0.65 0.57 0.46 0.41 0.44 0.56 0.70 0.78 0.77 0.66 0.50 0.35 0.30 0.35 0.51 0.73 0.98 1.24 1.50 1.74 1.94 2.07 2.10 2.00 1.79 1.51 1.22 0.97 0.83 0.79 0.86 0.96 1.04 1.04 0.94 0.79 0.66 0.61 0.67 0.81 0.99 1.12 1.17 1.16 1.13 1.14 1.21 1.33 1.48 1.64 1.81 2.01 2.26 2.51 2.71 2.77 2.66 2.37 1.96 1.50 1.09 0.76 0.52 0.36 0.25 0.18 0.16 0.21 0.32 0.46 0.59 0.67 0.65 0.57 0.46 0.41 0.44 0.56 0.70 0.78 0.77 0.66 0.50 0.35 0.30 0.35 0.51 0.73 0.98 1.24 1.50 1.74 1.94 2.07 2.10 2.00 1.79 1.51 1.22 0.97 0.83 0.79 0.86 0.96 1.04 1.04 0.94 0.79 0.66 0.61 0.67 0.81 0.99 1.12 1.17 1.16 1.13 1.14 1.21 1.33 1.48 1.64 1.81 2.01 2.26 2.51 2.71 2.77 2.66 80.0 + 82.5 2.64 2.39 2.03 1.63 1.26 0.94 0.70 0.51 0.37 0.29 0.29 0.36 0.49 0.62 0.71 0.72 0.65 0.55 0.48 0.48 0.56 0.69 0.79 0.82 0.76 0.62 0.48 0.39 0.39 0.48 0.65 0.88 1.15 1.45 1.75 2.04 2.26 2.38 2.37 2.23 2.00 1.72 1.44 1.20 1.03 0.93 0.91 0.93 0.96 0.94 0.86 0.71 0.55 0.44 0.42 0.51 0.66 0.80 0.90 0.94 0.94 0.95 1.00 1.10 1.25 1.44 1.65 1.90 2.18 2.45 2.65 2.73 2.64 2.39 2.03 1.63 1.26 0.94 0.70 0.51 0.37 0.29 0.29 0.36 0.49 0.62 0.71 0.72 0.65 0.55 0.48 0.48 0.56 0.69 0.79 0.82 0.76 0.62 0.48 0.39 0.39 0.48 0.65 0.88 1.15 1.45 1.75 2.04 2.26 2.38 2.37 2.23 2.00 1.72 1.44 1.20 1.03 0.93 0.91 0.93 0.96 0.94 0.86 0.71 0.55 0.44 0.42 0.51 0.66 0.80 0.90 0.94 0.94 0.95 1.00 1.10 1.25 1.44 1.65 1.90 2.18 2.45 2.65 2.73 2.64 82.5 + 85.0 2.45 2.27 1.98 1.65 1.32 1.03 0.78 0.58 0.43 0.35 0.35 0.43 0.54 0.63 0.64 0.57 0.44 0.31 0.25 0.29 0.41 0.55 0.64 0.64 0.56 0.45 0.36 0.34 0.41 0.55 0.75 0.98 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.45 1.21 1.01 0.86 0.76 0.72 0.71 0.68 0.61 0.46 0.28 0.12 0.05 0.10 0.25 0.43 0.58 0.67 0.71 0.72 0.75 0.84 0.98 1.18 1.41 1.68 1.95 2.21 2.41 2.50 2.45 2.27 1.98 1.65 1.32 1.03 0.78 0.58 0.43 0.35 0.35 0.43 0.54 0.63 0.64 0.57 0.44 0.31 0.25 0.29 0.41 0.55 0.64 0.64 0.56 0.45 0.36 0.34 0.41 0.55 0.75 0.98 1.27 1.59 1.92 2.22 2.43 2.50 2.44 2.25 2.00 1.72 1.45 1.21 1.01 0.86 0.76 0.72 0.71 0.68 0.61 0.46 0.28 0.12 0.05 0.10 0.25 0.43 0.58 0.67 0.71 0.72 0.75 0.84 0.98 1.18 1.41 1.68 1.95 2.21 2.41 2.50 2.45 85.0 + 87.5 2.24 2.12 1.90 1.64 1.36 1.09 0.85 0.64 0.48 0.38 0.37 0.43 0.51 0.53 0.47 0.32 0.12 0.00 0.00 0.00 0.14 0.30 0.39 0.39 0.34 0.27 0.26 0.32 0.46 0.64 0.86 1.10 1.39 1.72 2.04 2.31 2.47 2.48 2.34 2.10 1.82 1.54 1.28 1.04 0.83 0.64 0.50 0.44 0.42 0.41 0.35 0.21 0.03 0.00 0.00 0.00 0.00 0.17 0.37 0.49 0.53 0.53 0.54 0.61 0.74 0.93 1.16 1.41 1.68 1.93 2.13 2.24 2.24 2.12 1.90 1.64 1.36 1.09 0.85 0.64 0.48 0.38 0.37 0.43 0.51 0.53 0.47 0.32 0.12 0.00 0.00 0.00 0.14 0.30 0.39 0.39 0.34 0.27 0.26 0.32 0.46 0.64 0.86 1.10 1.39 1.72 2.04 2.31 2.47 2.48 2.34 2.10 1.82 1.54 1.28 1.04 0.83 0.64 0.50 0.44 0.42 0.41 0.35 0.21 0.03 0.00 0.00 0.00 0.00 0.17 0.37 0.49 0.53 0.53 0.54 0.61 0.74 0.93 1.16 1.41 1.68 1.93 2.13 2.24 2.24 87.5 + 90.0 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 90.0 + + 87.5 DEGREE - PHI2-SECTION ( FMAX ABS = 5.99 FMAX-I = 4.09 ) PHI2 = 88. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 0.0 + 2.5 2.24 2.31 2.25 2.07 1.83 1.58 1.33 1.11 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.31 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.78 1.54 1.30 1.08 0.87 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.51 0.68 0.88 1.10 1.33 1.57 1.82 2.07 2.24 2.31 2.25 2.07 1.83 1.58 1.33 1.11 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.88 1.09 1.31 1.55 1.79 2.01 2.17 2.22 2.16 2.00 1.78 1.54 1.30 1.08 0.87 0.67 0.52 0.43 0.41 0.41 0.38 0.27 0.07 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.39 0.51 0.68 0.88 1.10 1.33 1.57 1.82 2.07 2.24 2.5 + 5.0 2.39 2.47 2.40 2.19 1.91 1.60 1.32 1.07 0.83 0.62 0.44 0.31 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.43 0.47 0.58 0.75 0.98 1.22 1.48 1.73 1.95 2.10 2.15 2.08 1.93 1.70 1.45 1.19 0.95 0.73 0.55 0.45 0.41 0.44 0.48 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.25 0.29 0.41 0.59 0.80 1.03 1.28 1.57 1.88 2.17 2.39 2.47 2.40 2.19 1.91 1.60 1.32 1.07 0.83 0.62 0.44 0.31 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.13 0.33 0.45 0.48 0.45 0.43 0.47 0.58 0.75 0.98 1.22 1.48 1.73 1.95 2.10 2.15 2.08 1.93 1.70 1.45 1.19 0.95 0.73 0.55 0.45 0.41 0.44 0.48 0.46 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.29 0.26 0.25 0.29 0.41 0.59 0.80 1.03 1.28 1.57 1.88 2.17 2.39 5.0 + 7.5 2.49 2.60 2.52 2.27 1.93 1.57 1.25 0.97 0.74 0.53 0.34 0.21 0.14 0.16 0.21 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.47 0.41 0.33 0.30 0.36 0.51 0.74 1.02 1.30 1.56 1.77 1.90 1.94 1.88 1.73 1.51 1.25 0.97 0.70 0.47 0.32 0.27 0.31 0.40 0.46 0.45 0.32 0.12 0.00 0.00 0.00 0.00 0.08 0.20 0.23 0.19 0.12 0.10 0.15 0.27 0.45 0.66 0.89 1.16 1.49 1.86 2.22 2.49 2.60 2.52 2.27 1.93 1.57 1.25 0.97 0.74 0.53 0.34 0.21 0.14 0.16 0.21 0.24 0.20 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.47 0.41 0.33 0.30 0.36 0.51 0.74 1.02 1.30 1.56 1.77 1.90 1.94 1.88 1.73 1.51 1.25 0.97 0.70 0.47 0.32 0.27 0.31 0.40 0.46 0.45 0.32 0.12 0.00 0.00 0.00 0.00 0.08 0.20 0.23 0.19 0.12 0.10 0.15 0.27 0.45 0.66 0.89 1.16 1.49 1.86 2.22 2.49 7.5 + 10.0 2.44 2.58 2.49 2.21 1.83 1.43 1.10 0.84 0.63 0.44 0.27 0.12 0.03 0.04 0.10 0.18 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.34 0.26 0.13 0.03 0.03 0.16 0.40 0.70 1.01 1.26 1.45 1.55 1.58 1.53 1.40 1.20 0.94 0.64 0.35 0.11 0.00 0.00 0.10 0.24 0.32 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.13 0.04 0.00 0.00 0.00 0.13 0.30 0.48 0.69 0.95 1.30 1.71 2.12 2.44 2.58 2.49 2.21 1.83 1.43 1.10 0.84 0.63 0.44 0.27 0.12 0.03 0.04 0.10 0.18 0.19 0.11 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.34 0.26 0.13 0.03 0.03 0.16 0.40 0.70 1.01 1.26 1.45 1.55 1.58 1.53 1.40 1.20 0.94 0.64 0.35 0.11 0.00 0.00 0.10 0.24 0.32 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.13 0.04 0.00 0.00 0.00 0.13 0.30 0.48 0.69 0.95 1.30 1.71 2.12 2.44 10.0 + 12.5 2.25 2.40 2.32 2.02 1.62 1.22 0.90 0.68 0.53 0.40 0.24 0.08 0.00 0.00 0.00 0.09 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.08 0.00 0.00 0.00 0.00 0.06 0.38 0.69 0.93 1.08 1.15 1.16 1.12 1.03 0.87 0.63 0.32 0.01 0.00 0.00 0.00 0.00 0.04 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.04 0.18 0.31 0.46 0.68 1.02 1.45 1.90 2.25 2.40 2.32 2.02 1.62 1.22 0.90 0.68 0.53 0.40 0.24 0.08 0.00 0.00 0.00 0.09 0.13 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.15 0.08 0.00 0.00 0.00 0.00 0.06 0.38 0.69 0.93 1.08 1.15 1.16 1.12 1.03 0.87 0.63 0.32 0.01 0.00 0.00 0.00 0.00 0.04 0.12 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.00 0.00 0.00 0.00 0.00 0.04 0.18 0.31 0.46 0.68 1.02 1.45 1.90 2.25 12.5 + 15.0 2.03 2.19 2.11 1.80 1.40 1.01 0.73 0.58 0.50 0.42 0.30 0.13 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.50 0.71 0.82 0.85 0.85 0.82 0.77 0.66 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.19 0.28 0.45 0.76 1.19 1.66 2.03 2.19 2.11 1.80 1.40 1.01 0.73 0.58 0.50 0.42 0.30 0.13 0.00 0.00 0.00 0.04 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.20 0.50 0.71 0.82 0.85 0.85 0.82 0.77 0.66 0.45 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.13 0.19 0.28 0.45 0.76 1.19 1.66 2.03 15.0 + 17.5 1.92 2.09 2.00 1.69 1.28 0.91 0.68 0.58 0.57 0.54 0.43 0.25 0.06 0.00 0.00 0.08 0.14 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.13 0.00 0.00 0.00 0.00 0.00 0.28 0.56 0.74 0.80 0.80 0.78 0.77 0.76 0.68 0.51 0.23 0.00 0.00 0.00 0.00 0.00 0.09 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.20 0.22 0.34 0.63 1.06 1.54 1.92 2.09 2.00 1.69 1.28 0.91 0.68 0.58 0.57 0.54 0.43 0.25 0.06 0.00 0.00 0.08 0.14 0.08 0.00 0.00 0.00 0.00 0.00 0.00 0.04 0.19 0.13 0.00 0.00 0.00 0.00 0.00 0.28 0.56 0.74 0.80 0.80 0.78 0.77 0.76 0.68 0.51 0.23 0.00 0.00 0.00 0.00 0.00 0.09 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.11 0.19 0.20 0.22 0.34 0.63 1.06 1.54 1.92 17.5 + 20.0 2.01 2.18 2.08 1.76 1.34 0.99 0.78 0.72 0.75 0.74 0.63 0.43 0.22 0.10 0.12 0.24 0.34 0.30 0.10 0.00 0.00 0.00 0.00 0.05 0.37 0.53 0.46 0.24 0.00 0.00 0.00 0.24 0.56 0.83 0.98 1.02 0.99 0.96 0.97 0.98 0.93 0.78 0.51 0.20 0.00 0.00 0.01 0.25 0.46 0.50 0.32 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.23 0.10 0.00 0.00 0.00 0.15 0.30 0.36 0.35 0.33 0.42 0.69 1.12 1.61 2.01 2.18 2.08 1.76 1.34 0.99 0.78 0.72 0.75 0.74 0.63 0.43 0.22 0.10 0.12 0.24 0.34 0.30 0.10 0.00 0.00 0.00 0.00 0.05 0.37 0.53 0.46 0.24 0.00 0.00 0.00 0.24 0.56 0.83 0.98 1.02 0.99 0.96 0.97 0.98 0.93 0.78 0.51 0.20 0.00 0.00 0.01 0.25 0.46 0.50 0.32 0.00 0.00 0.00 0.00 0.00 0.07 0.24 0.23 0.10 0.00 0.00 0.00 0.15 0.30 0.36 0.35 0.33 0.42 0.69 1.12 1.61 2.01 20.0 + 22.5 2.23 2.40 2.28 1.95 1.54 1.19 1.00 0.97 1.01 0.99 0.86 0.64 0.41 0.30 0.34 0.50 0.64 0.64 0.46 0.18 0.00 0.00 0.12 0.46 0.78 0.91 0.82 0.57 0.32 0.21 0.31 0.57 0.89 1.14 1.28 1.29 1.26 1.23 1.24 1.26 1.23 1.09 0.83 0.53 0.30 0.24 0.38 0.64 0.88 0.95 0.78 0.45 0.12 0.00 0.02 0.26 0.53 0.67 0.61 0.42 0.23 0.15 0.23 0.41 0.57 0.63 0.60 0.56 0.64 0.90 1.34 1.84 2.23 2.40 2.28 1.95 1.54 1.19 1.00 0.97 1.01 0.99 0.86 0.64 0.41 0.30 0.34 0.50 0.64 0.64 0.46 0.18 0.00 0.00 0.12 0.46 0.78 0.91 0.82 0.57 0.32 0.21 0.31 0.57 0.89 1.14 1.28 1.29 1.26 1.23 1.24 1.26 1.23 1.09 0.83 0.53 0.30 0.24 0.38 0.64 0.88 0.95 0.78 0.45 0.12 0.00 0.02 0.26 0.53 0.67 0.61 0.42 0.23 0.15 0.23 0.41 0.57 0.63 0.60 0.56 0.64 0.90 1.34 1.84 2.23 22.5 + 25.0 2.45 2.61 2.48 2.14 1.73 1.40 1.25 1.24 1.28 1.25 1.10 0.85 0.62 0.53 0.63 0.83 0.99 0.99 0.79 0.49 0.25 0.22 0.41 0.74 1.02 1.11 0.97 0.69 0.43 0.33 0.44 0.70 1.01 1.26 1.38 1.39 1.35 1.33 1.34 1.37 1.34 1.21 0.96 0.67 0.45 0.39 0.55 0.84 1.12 1.22 1.09 0.79 0.48 0.33 0.42 0.69 0.97 1.10 1.02 0.79 0.54 0.43 0.50 0.68 0.86 0.93 0.90 0.85 0.90 1.15 1.57 2.06 2.45 2.61 2.48 2.14 1.73 1.40 1.25 1.24 1.28 1.25 1.10 0.85 0.62 0.53 0.63 0.83 0.99 0.99 0.79 0.49 0.25 0.22 0.41 0.74 1.02 1.11 0.97 0.69 0.43 0.33 0.44 0.70 1.01 1.26 1.38 1.39 1.35 1.33 1.34 1.37 1.34 1.21 0.96 0.67 0.45 0.39 0.55 0.84 1.12 1.22 1.09 0.79 0.48 0.33 0.42 0.69 0.97 1.10 1.02 0.79 0.54 0.43 0.50 0.68 0.86 0.93 0.90 0.85 0.90 1.15 1.57 2.06 2.45 25.0 + 27.5 2.51 2.64 2.50 2.17 1.78 1.50 1.40 1.44 1.50 1.47 1.30 1.05 0.85 0.81 0.95 1.18 1.33 1.28 1.01 0.63 0.33 0.26 0.42 0.71 0.94 0.98 0.79 0.49 0.23 0.14 0.26 0.53 0.82 1.05 1.15 1.15 1.12 1.10 1.12 1.15 1.13 1.01 0.77 0.49 0.27 0.22 0.38 0.69 0.99 1.13 1.05 0.78 0.51 0.40 0.54 0.87 1.21 1.40 1.34 1.10 0.83 0.69 0.74 0.92 1.11 1.19 1.15 1.07 1.08 1.29 1.67 2.14 2.51 2.64 2.50 2.17 1.78 1.50 1.40 1.44 1.50 1.47 1.30 1.05 0.85 0.81 0.95 1.18 1.33 1.28 1.01 0.63 0.33 0.26 0.42 0.71 0.94 0.98 0.79 0.49 0.23 0.14 0.26 0.53 0.82 1.05 1.15 1.15 1.12 1.10 1.12 1.15 1.13 1.01 0.77 0.49 0.27 0.22 0.38 0.69 0.99 1.13 1.05 0.78 0.51 0.40 0.54 0.87 1.21 1.40 1.34 1.10 0.83 0.69 0.74 0.92 1.11 1.19 1.15 1.07 1.08 1.29 1.67 2.14 2.51 27.5 + 30.0 2.33 2.44 2.30 1.97 1.63 1.42 1.39 1.51 1.62 1.61 1.46 1.23 1.09 1.12 1.32 1.57 1.67 1.51 1.09 0.58 0.18 0.04 0.17 0.42 0.60 0.58 0.36 0.04 0.00 0.00 0.00 0.13 0.40 0.59 0.65 0.63 0.59 0.57 0.59 0.64 0.63 0.53 0.32 0.05 0.00 0.00 0.00 0.23 0.54 0.71 0.65 0.42 0.18 0.12 0.34 0.77 1.23 1.53 1.55 1.34 1.06 0.90 0.92 1.10 1.29 1.37 1.30 1.17 1.11 1.24 1.57 1.99 2.33 2.44 2.30 1.97 1.63 1.42 1.39 1.51 1.62 1.61 1.46 1.23 1.09 1.12 1.32 1.57 1.67 1.51 1.09 0.58 0.18 0.04 0.17 0.42 0.60 0.58 0.36 0.04 0.00 0.00 0.00 0.13 0.40 0.59 0.65 0.63 0.59 0.57 0.59 0.64 0.63 0.53 0.32 0.05 0.00 0.00 0.00 0.23 0.54 0.71 0.65 0.42 0.18 0.12 0.34 0.77 1.23 1.53 1.55 1.34 1.06 0.90 0.92 1.10 1.29 1.37 1.30 1.17 1.11 1.24 1.57 1.99 2.33 30.0 + 32.5 1.98 2.08 1.92 1.60 1.30 1.15 1.22 1.42 1.61 1.66 1.56 1.41 1.36 1.50 1.78 2.03 2.06 1.75 1.15 0.47 0.00 0.00 0.00 0.08 0.23 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.13 0.07 0.00 0.00 0.00 0.07 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.13 0.00 0.00 0.00 0.00 0.52 1.15 1.60 1.73 1.58 1.30 1.09 1.08 1.22 1.39 1.44 1.32 1.12 0.98 1.03 1.30 1.67 1.98 2.08 1.92 1.60 1.30 1.15 1.22 1.42 1.61 1.66 1.56 1.41 1.36 1.50 1.78 2.03 2.06 1.75 1.15 0.47 0.00 0.00 0.00 0.08 0.23 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.12 0.13 0.07 0.00 0.00 0.00 0.07 0.09 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.18 0.13 0.00 0.00 0.00 0.00 0.52 1.15 1.60 1.73 1.58 1.30 1.09 1.08 1.22 1.39 1.44 1.32 1.12 0.98 1.03 1.30 1.67 1.98 32.5 + 35.0 1.61 1.69 1.52 1.19 0.90 0.81 0.95 1.23 1.50 1.63 1.61 1.58 1.66 1.93 2.31 2.59 2.55 2.09 1.32 0.48 0.00 0.00 0.00 0.00 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.37 1.15 1.76 2.00 1.89 1.59 1.32 1.23 1.30 1.41 1.41 1.23 0.96 0.74 0.74 0.96 1.32 1.61 1.69 1.52 1.19 0.90 0.81 0.95 1.23 1.50 1.63 1.61 1.58 1.66 1.93 2.31 2.59 2.55 2.09 1.32 0.48 0.00 0.00 0.00 0.00 0.09 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.37 1.15 1.76 2.00 1.89 1.59 1.32 1.23 1.30 1.41 1.41 1.23 0.96 0.74 0.74 0.96 1.32 1.61 35.0 + 37.5 1.36 1.43 1.23 0.88 0.57 0.49 0.67 1.00 1.34 1.54 1.63 1.72 1.96 2.38 2.88 3.20 3.12 2.55 1.64 0.68 0.00 0.00 0.00 0.14 0.30 0.23 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.39 2.12 2.44 2.34 1.98 1.61 1.40 1.37 1.39 1.32 1.08 0.75 0.50 0.47 0.69 1.06 1.36 1.43 1.23 0.88 0.57 0.49 0.67 1.00 1.34 1.54 1.63 1.72 1.96 2.38 2.88 3.20 3.12 2.55 1.64 0.68 0.00 0.00 0.00 0.14 0.30 0.23 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.47 1.39 2.12 2.44 2.34 1.98 1.61 1.40 1.37 1.39 1.32 1.08 0.75 0.50 0.47 0.69 1.06 1.36 37.5 + 40.0 1.26 1.33 1.10 0.71 0.36 0.26 0.44 0.80 1.18 1.45 1.62 1.82 2.19 2.76 3.36 3.73 3.63 3.00 2.00 0.99 0.29 0.07 0.24 0.55 0.75 0.69 0.43 0.13 0.00 0.06 0.29 0.54 0.67 0.61 0.40 0.13 0.00 0.00 0.00 0.16 0.36 0.45 0.36 0.12 0.00 0.00 0.00 0.00 0.22 0.36 0.24 0.00 0.00 0.00 0.01 0.85 1.85 2.66 3.02 2.90 2.45 1.95 1.60 1.44 1.37 1.22 0.93 0.57 0.30 0.28 0.53 0.93 1.26 1.33 1.10 0.71 0.36 0.26 0.44 0.80 1.18 1.45 1.62 1.82 2.19 2.76 3.36 3.73 3.63 3.00 2.00 0.99 0.29 0.07 0.24 0.55 0.75 0.69 0.43 0.13 0.00 0.06 0.29 0.54 0.67 0.61 0.40 0.13 0.00 0.00 0.00 0.16 0.36 0.45 0.36 0.12 0.00 0.00 0.00 0.00 0.22 0.36 0.24 0.00 0.00 0.00 0.01 0.85 1.85 2.66 3.02 2.90 2.45 1.95 1.60 1.44 1.37 1.22 0.93 0.57 0.30 0.28 0.53 0.93 1.26 40.0 + 42.5 1.27 1.34 1.09 0.66 0.27 0.14 0.31 0.67 1.06 1.36 1.58 1.85 2.30 2.95 3.62 4.03 3.93 3.26 2.24 1.21 0.52 0.34 0.56 0.92 1.15 1.10 0.85 0.56 0.43 0.53 0.78 1.04 1.16 1.07 0.82 0.53 0.31 0.25 0.37 0.62 0.87 1.00 0.94 0.71 0.42 0.23 0.26 0.48 0.76 0.90 0.77 0.42 0.07 0.03 0.47 1.34 2.39 3.24 3.60 3.43 2.89 2.27 1.80 1.53 1.37 1.16 0.83 0.45 0.18 0.19 0.48 0.92 1.27 1.34 1.09 0.66 0.27 0.14 0.31 0.67 1.06 1.36 1.58 1.85 2.30 2.95 3.62 4.03 3.93 3.26 2.24 1.21 0.52 0.34 0.56 0.92 1.15 1.10 0.85 0.56 0.43 0.53 0.78 1.04 1.16 1.07 0.82 0.53 0.31 0.25 0.37 0.62 0.87 1.00 0.94 0.71 0.42 0.23 0.26 0.48 0.76 0.90 0.77 0.42 0.07 0.03 0.47 1.34 2.39 3.24 3.60 3.43 2.89 2.27 1.80 1.53 1.37 1.16 0.83 0.45 0.18 0.19 0.48 0.92 1.27 42.5 + 45.0 1.29 1.36 1.10 0.66 0.26 0.12 0.28 0.63 1.02 1.31 1.53 1.80 2.26 2.91 3.58 3.98 3.87 3.20 2.17 1.15 0.49 0.34 0.59 0.98 1.22 1.18 0.93 0.66 0.54 0.65 0.91 1.18 1.30 1.22 0.97 0.68 0.47 0.43 0.57 0.85 1.13 1.29 1.25 1.03 0.75 0.55 0.58 0.81 1.09 1.23 1.10 0.75 0.40 0.36 0.81 1.72 2.79 3.65 4.00 3.79 3.20 2.51 1.96 1.62 1.40 1.15 0.80 0.41 0.15 0.17 0.48 0.93 1.29 1.36 1.10 0.66 0.26 0.12 0.28 0.63 1.02 1.31 1.53 1.80 2.26 2.91 3.58 3.98 3.87 3.20 2.17 1.15 0.49 0.34 0.59 0.98 1.22 1.18 0.93 0.66 0.54 0.65 0.91 1.18 1.30 1.22 0.97 0.68 0.47 0.43 0.57 0.85 1.13 1.29 1.25 1.03 0.75 0.55 0.58 0.81 1.09 1.23 1.10 0.75 0.40 0.36 0.81 1.72 2.79 3.65 4.00 3.79 3.20 2.51 1.96 1.62 1.40 1.15 0.80 0.41 0.15 0.17 0.48 0.93 1.29 45.0 + 47.5 1.29 1.36 1.11 0.68 0.30 0.17 0.33 0.69 1.05 1.31 1.47 1.68 2.06 2.64 3.24 3.59 3.46 2.79 1.79 0.80 0.16 0.02 0.27 0.65 0.89 0.85 0.61 0.34 0.22 0.33 0.60 0.87 1.01 0.95 0.74 0.48 0.30 0.28 0.44 0.72 1.00 1.17 1.13 0.92 0.64 0.47 0.50 0.74 1.04 1.19 1.07 0.74 0.43 0.42 0.91 1.83 2.90 3.75 4.09 3.88 3.28 2.59 2.04 1.70 1.48 1.22 0.86 0.47 0.20 0.20 0.50 0.94 1.29 1.36 1.11 0.68 0.30 0.17 0.33 0.69 1.05 1.31 1.47 1.68 2.06 2.64 3.24 3.59 3.46 2.79 1.79 0.80 0.16 0.02 0.27 0.65 0.89 0.85 0.61 0.34 0.22 0.33 0.60 0.87 1.01 0.95 0.74 0.48 0.30 0.28 0.44 0.72 1.00 1.17 1.13 0.92 0.64 0.47 0.50 0.74 1.04 1.19 1.07 0.74 0.43 0.42 0.91 1.83 2.90 3.75 4.09 3.88 3.28 2.59 2.04 1.70 1.48 1.22 0.86 0.47 0.20 0.20 0.50 0.94 1.29 47.5 + 50.0 1.30 1.36 1.13 0.73 0.39 0.29 0.47 0.81 1.15 1.35 1.43 1.53 1.78 2.23 2.72 3.00 2.85 2.21 1.26 0.32 0.00 0.00 0.00 0.12 0.34 0.30 0.06 0.00 0.00 0.00 0.00 0.28 0.44 0.43 0.27 0.07 0.00 0.00 0.07 0.33 0.58 0.72 0.67 0.46 0.20 0.05 0.10 0.36 0.66 0.83 0.74 0.45 0.19 0.24 0.75 1.67 2.72 3.54 3.87 3.66 3.11 2.50 2.03 1.75 1.58 1.35 1.01 0.62 0.34 0.32 0.58 0.98 1.30 1.36 1.13 0.73 0.39 0.29 0.47 0.81 1.15 1.35 1.43 1.53 1.78 2.23 2.72 3.00 2.85 2.21 1.26 0.32 0.00 0.00 0.00 0.12 0.34 0.30 0.06 0.00 0.00 0.00 0.00 0.28 0.44 0.43 0.27 0.07 0.00 0.00 0.07 0.33 0.58 0.72 0.67 0.46 0.20 0.05 0.10 0.36 0.66 0.83 0.74 0.45 0.19 0.24 0.75 1.67 2.72 3.54 3.87 3.66 3.11 2.50 2.03 1.75 1.58 1.35 1.01 0.62 0.34 0.32 0.58 0.98 1.30 50.0 + 52.5 1.41 1.46 1.24 0.87 0.57 0.49 0.66 0.98 1.27 1.40 1.40 1.37 1.49 1.79 2.17 2.40 2.26 1.69 0.82 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.23 0.41 0.34 0.10 0.00 0.00 0.52 1.40 2.38 3.12 3.41 3.23 2.76 2.26 1.92 1.76 1.68 1.52 1.22 0.85 0.59 0.55 0.78 1.13 1.41 1.46 1.24 0.87 0.57 0.49 0.66 0.98 1.27 1.40 1.40 1.37 1.49 1.79 2.17 2.40 2.26 1.69 0.82 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.22 0.14 0.00 0.00 0.00 0.00 0.00 0.23 0.41 0.34 0.10 0.00 0.00 0.52 1.40 2.38 3.12 3.41 3.23 2.76 2.26 1.92 1.76 1.68 1.52 1.22 0.85 0.59 0.55 0.78 1.13 1.41 52.5 + 55.0 1.67 1.70 1.48 1.12 0.82 0.72 0.86 1.13 1.37 1.44 1.36 1.24 1.24 1.43 1.73 1.94 1.85 1.39 0.67 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.14 0.00 0.00 0.00 0.37 1.16 2.01 2.63 2.85 2.67 2.30 1.94 1.75 1.73 1.75 1.67 1.44 1.13 0.91 0.89 1.10 1.42 1.67 1.70 1.48 1.12 0.82 0.72 0.86 1.13 1.37 1.44 1.36 1.24 1.24 1.43 1.73 1.94 1.85 1.39 0.67 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.19 0.14 0.00 0.00 0.00 0.37 1.16 2.01 2.63 2.85 2.67 2.30 1.94 1.75 1.73 1.75 1.67 1.44 1.13 0.91 0.89 1.10 1.42 1.67 55.0 + 57.5 2.03 2.03 1.79 1.42 1.08 0.94 1.01 1.21 1.39 1.42 1.29 1.12 1.05 1.18 1.44 1.67 1.67 1.36 0.79 0.19 0.00 0.00 0.00 0.08 0.21 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.04 0.00 0.00 0.05 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.23 0.03 0.00 0.00 0.37 1.03 1.71 2.17 2.29 2.11 1.81 1.58 1.54 1.65 1.77 1.77 1.62 1.39 1.23 1.27 1.49 1.81 2.03 2.03 1.79 1.42 1.08 0.94 1.01 1.21 1.39 1.42 1.29 1.12 1.05 1.18 1.44 1.67 1.67 1.36 0.79 0.19 0.00 0.00 0.00 0.08 0.21 0.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.09 0.04 0.00 0.00 0.05 0.13 0.17 0.10 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.30 0.23 0.03 0.00 0.00 0.37 1.03 1.71 2.17 2.29 2.11 1.81 1.58 1.54 1.65 1.77 1.77 1.62 1.39 1.23 1.27 1.49 1.81 2.03 57.5 + 60.0 2.37 2.34 2.07 1.65 1.26 1.04 1.03 1.17 1.29 1.30 1.16 0.98 0.89 0.99 1.24 1.51 1.61 1.43 1.02 0.56 0.25 0.20 0.38 0.63 0.77 0.68 0.41 0.08 0.00 0.00 0.00 0.23 0.46 0.60 0.64 0.61 0.58 0.58 0.62 0.66 0.63 0.50 0.25 0.00 0.00 0.00 0.00 0.23 0.51 0.62 0.52 0.29 0.11 0.15 0.46 0.97 1.47 1.76 1.78 1.59 1.35 1.24 1.32 1.52 1.71 1.77 1.69 1.55 1.48 1.58 1.85 2.16 2.37 2.34 2.07 1.65 1.26 1.04 1.03 1.17 1.29 1.30 1.16 0.98 0.89 0.99 1.24 1.51 1.61 1.43 1.02 0.56 0.25 0.20 0.38 0.63 0.77 0.68 0.41 0.08 0.00 0.00 0.00 0.23 0.46 0.60 0.64 0.61 0.58 0.58 0.62 0.66 0.63 0.50 0.25 0.00 0.00 0.00 0.00 0.23 0.51 0.62 0.52 0.29 0.11 0.15 0.46 0.97 1.47 1.76 1.78 1.59 1.35 1.24 1.32 1.52 1.71 1.77 1.69 1.55 1.48 1.58 1.85 2.16 2.37 60.0 + 62.5 2.55 2.48 2.17 1.70 1.26 0.97 0.90 0.98 1.07 1.07 0.94 0.77 0.69 0.78 1.03 1.32 1.48 1.40 1.10 0.75 0.53 0.54 0.76 1.04 1.19 1.13 0.87 0.54 0.31 0.27 0.43 0.69 0.93 1.09 1.14 1.12 1.10 1.11 1.14 1.16 1.10 0.91 0.63 0.34 0.15 0.15 0.35 0.64 0.87 0.93 0.77 0.49 0.27 0.26 0.50 0.88 1.23 1.39 1.33 1.14 0.97 0.95 1.11 1.37 1.59 1.68 1.64 1.56 1.57 1.73 2.04 2.36 2.55 2.48 2.17 1.70 1.26 0.97 0.90 0.98 1.07 1.07 0.94 0.77 0.69 0.78 1.03 1.32 1.48 1.40 1.10 0.75 0.53 0.54 0.76 1.04 1.19 1.13 0.87 0.54 0.31 0.27 0.43 0.69 0.93 1.09 1.14 1.12 1.10 1.11 1.14 1.16 1.10 0.91 0.63 0.34 0.15 0.15 0.35 0.64 0.87 0.93 0.77 0.49 0.27 0.26 0.50 0.88 1.23 1.39 1.33 1.14 0.97 0.95 1.11 1.37 1.59 1.68 1.64 1.56 1.57 1.73 2.04 2.36 2.55 62.5 + 65.0 2.50 2.40 2.05 1.55 1.07 0.75 0.63 0.67 0.75 0.75 0.65 0.50 0.42 0.50 0.74 1.01 1.18 1.13 0.89 0.61 0.44 0.50 0.76 1.07 1.26 1.22 0.99 0.69 0.47 0.45 0.61 0.88 1.14 1.30 1.36 1.35 1.33 1.35 1.40 1.41 1.32 1.11 0.81 0.51 0.33 0.35 0.56 0.83 1.02 1.01 0.79 0.47 0.23 0.19 0.38 0.68 0.94 1.04 0.95 0.77 0.66 0.71 0.92 1.20 1.42 1.50 1.48 1.44 1.50 1.71 2.03 2.35 2.50 2.40 2.05 1.55 1.07 0.75 0.63 0.67 0.75 0.75 0.65 0.50 0.42 0.50 0.74 1.01 1.18 1.13 0.89 0.61 0.44 0.50 0.76 1.07 1.26 1.22 0.99 0.69 0.47 0.45 0.61 0.88 1.14 1.30 1.36 1.35 1.33 1.35 1.40 1.41 1.32 1.11 0.81 0.51 0.33 0.35 0.56 0.83 1.02 1.01 0.79 0.47 0.23 0.19 0.38 0.68 0.94 1.04 0.95 0.77 0.66 0.71 0.92 1.20 1.42 1.50 1.48 1.44 1.50 1.71 2.03 2.35 2.50 65.0 + 67.5 2.31 2.17 1.79 1.27 0.78 0.45 0.31 0.33 0.40 0.41 0.32 0.18 0.11 0.18 0.37 0.60 0.73 0.66 0.43 0.17 0.03 0.12 0.40 0.74 0.96 0.96 0.76 0.49 0.30 0.30 0.48 0.76 1.02 1.19 1.25 1.25 1.25 1.28 1.33 1.34 1.23 1.00 0.69 0.39 0.24 0.28 0.48 0.74 0.88 0.82 0.56 0.22 0.00 0.00 0.13 0.41 0.65 0.73 0.65 0.51 0.45 0.55 0.78 1.05 1.24 1.30 1.28 1.26 1.34 1.58 1.90 2.19 2.31 2.17 1.79 1.27 0.78 0.45 0.31 0.33 0.40 0.41 0.32 0.18 0.11 0.18 0.37 0.60 0.73 0.66 0.43 0.17 0.03 0.12 0.40 0.74 0.96 0.96 0.76 0.49 0.30 0.30 0.48 0.76 1.02 1.19 1.25 1.25 1.25 1.28 1.33 1.34 1.23 1.00 0.69 0.39 0.24 0.28 0.48 0.74 0.88 0.82 0.56 0.22 0.00 0.00 0.13 0.41 0.65 0.73 0.65 0.51 0.45 0.55 0.78 1.05 1.24 1.30 1.28 1.26 1.34 1.58 1.90 2.19 2.31 67.5 + 70.0 2.11 1.94 1.54 1.02 0.54 0.20 0.06 0.06 0.10 0.10 0.01 0.00 0.00 0.00 0.03 0.20 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.28 0.51 0.53 0.35 0.12 0.00 0.00 0.17 0.46 0.73 0.91 0.99 1.00 1.01 1.05 1.10 1.09 0.97 0.72 0.40 0.11 0.00 0.02 0.23 0.47 0.59 0.50 0.23 0.00 0.00 0.00 0.00 0.18 0.42 0.51 0.46 0.37 0.34 0.45 0.68 0.92 1.09 1.13 1.11 1.11 1.22 1.47 1.78 2.04 2.11 1.94 1.54 1.02 0.54 0.20 0.06 0.06 0.10 0.10 0.01 0.00 0.00 0.00 0.03 0.20 0.27 0.17 0.00 0.00 0.00 0.00 0.00 0.28 0.51 0.53 0.35 0.12 0.00 0.00 0.17 0.46 0.73 0.91 0.99 1.00 1.01 1.05 1.10 1.09 0.97 0.72 0.40 0.11 0.00 0.02 0.23 0.47 0.59 0.50 0.23 0.00 0.00 0.00 0.00 0.18 0.42 0.51 0.46 0.37 0.34 0.45 0.68 0.92 1.09 1.13 1.11 1.11 1.22 1.47 1.78 2.04 2.11 70.0 + 72.5 2.07 1.86 1.44 0.93 0.45 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.17 0.01 0.00 0.00 0.00 0.00 0.21 0.49 0.68 0.78 0.82 0.86 0.90 0.93 0.89 0.74 0.47 0.14 0.00 0.00 0.00 0.01 0.23 0.34 0.25 0.00 0.00 0.00 0.00 0.00 0.07 0.32 0.43 0.41 0.33 0.32 0.42 0.62 0.83 0.98 1.03 1.04 1.08 1.23 1.50 1.80 2.03 2.07 1.86 1.44 0.93 0.45 0.12 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.16 0.17 0.01 0.00 0.00 0.00 0.00 0.21 0.49 0.68 0.78 0.82 0.86 0.90 0.93 0.89 0.74 0.47 0.14 0.00 0.00 0.00 0.01 0.23 0.34 0.25 0.00 0.00 0.00 0.00 0.00 0.07 0.32 0.43 0.41 0.33 0.32 0.42 0.62 0.83 0.98 1.03 1.04 1.08 1.23 1.50 1.80 2.03 2.07 72.5 + 75.0 2.20 1.97 1.55 1.05 0.58 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.66 0.79 0.88 0.94 0.99 1.00 0.92 0.73 0.44 0.11 0.00 0.00 0.00 0.00 0.17 0.27 0.21 0.00 0.00 0.00 0.00 0.00 0.10 0.34 0.46 0.45 0.38 0.35 0.42 0.59 0.77 0.92 1.01 1.07 1.18 1.38 1.68 1.98 2.19 2.20 1.97 1.55 1.05 0.58 0.23 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.08 0.06 0.00 0.00 0.00 0.00 0.00 0.16 0.44 0.66 0.79 0.88 0.94 0.99 1.00 0.92 0.73 0.44 0.11 0.00 0.00 0.00 0.00 0.17 0.27 0.21 0.00 0.00 0.00 0.00 0.00 0.10 0.34 0.46 0.45 0.38 0.35 0.42 0.59 0.77 0.92 1.01 1.07 1.18 1.38 1.68 1.98 2.19 2.20 75.0 + 77.5 2.43 2.20 1.79 1.30 0.84 0.48 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.23 0.17 0.00 0.00 0.00 0.00 0.04 0.33 0.61 0.85 1.04 1.17 1.26 1.31 1.29 1.17 0.95 0.65 0.33 0.07 0.00 0.00 0.12 0.29 0.38 0.34 0.17 0.00 0.00 0.00 0.00 0.18 0.39 0.51 0.50 0.44 0.40 0.44 0.56 0.73 0.90 1.03 1.17 1.35 1.61 1.93 2.24 2.44 2.43 2.20 1.79 1.30 0.84 0.48 0.24 0.09 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.07 0.06 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.23 0.17 0.00 0.00 0.00 0.00 0.04 0.33 0.61 0.85 1.04 1.17 1.26 1.31 1.29 1.17 0.95 0.65 0.33 0.07 0.00 0.00 0.12 0.29 0.38 0.34 0.17 0.00 0.00 0.00 0.00 0.18 0.39 0.51 0.50 0.44 0.40 0.44 0.56 0.73 0.90 1.03 1.17 1.35 1.61 1.93 2.24 2.44 2.43 77.5 + 80.0 2.61 2.39 2.01 1.55 1.11 0.76 0.49 0.30 0.14 0.01 0.00 0.00 0.00 0.08 0.20 0.26 0.22 0.10 0.00 0.00 0.00 0.09 0.28 0.42 0.44 0.35 0.19 0.06 0.03 0.13 0.33 0.60 0.89 1.15 1.38 1.56 1.68 1.73 1.68 1.53 1.29 0.99 0.68 0.43 0.29 0.27 0.35 0.46 0.54 0.50 0.36 0.16 0.00 0.00 0.02 0.19 0.37 0.49 0.51 0.47 0.43 0.45 0.54 0.70 0.88 1.06 1.26 1.50 1.79 2.13 2.43 2.61 2.61 2.39 2.01 1.55 1.11 0.76 0.49 0.30 0.14 0.01 0.00 0.00 0.00 0.08 0.20 0.26 0.22 0.10 0.00 0.00 0.00 0.09 0.28 0.42 0.44 0.35 0.19 0.06 0.03 0.13 0.33 0.60 0.89 1.15 1.38 1.56 1.68 1.73 1.68 1.53 1.29 0.99 0.68 0.43 0.29 0.27 0.35 0.46 0.54 0.50 0.36 0.16 0.00 0.00 0.02 0.19 0.37 0.49 0.51 0.47 0.43 0.45 0.54 0.70 0.88 1.06 1.26 1.50 1.79 2.13 2.43 2.61 2.61 80.0 + 82.5 2.62 2.43 2.10 1.71 1.32 0.98 0.72 0.50 0.32 0.18 0.10 0.10 0.18 0.28 0.36 0.35 0.27 0.14 0.04 0.03 0.13 0.31 0.48 0.57 0.55 0.45 0.33 0.26 0.29 0.41 0.62 0.87 1.15 1.43 1.69 1.90 2.03 2.07 1.99 1.82 1.57 1.29 1.00 0.76 0.59 0.51 0.52 0.57 0.60 0.57 0.44 0.25 0.06 0.00 0.00 0.06 0.23 0.37 0.44 0.45 0.43 0.44 0.52 0.66 0.85 1.06 1.30 1.56 1.86 2.18 2.46 2.62 2.62 2.43 2.10 1.71 1.32 0.98 0.72 0.50 0.32 0.18 0.10 0.10 0.18 0.28 0.36 0.35 0.27 0.14 0.04 0.03 0.13 0.31 0.48 0.57 0.55 0.45 0.33 0.26 0.29 0.41 0.62 0.87 1.15 1.43 1.69 1.90 2.03 2.07 1.99 1.82 1.57 1.29 1.00 0.76 0.59 0.51 0.52 0.57 0.60 0.57 0.44 0.25 0.06 0.00 0.00 0.06 0.23 0.37 0.44 0.45 0.43 0.44 0.52 0.66 0.85 1.06 1.30 1.56 1.86 2.18 2.46 2.62 2.62 82.5 + 85.0 2.48 2.33 2.07 1.74 1.42 1.13 0.88 0.66 0.47 0.33 0.26 0.27 0.33 0.39 0.39 0.31 0.15 0.00 0.00 0.00 0.10 0.30 0.46 0.53 0.51 0.44 0.38 0.38 0.46 0.62 0.83 1.07 1.33 1.61 1.88 2.10 2.23 2.24 2.14 1.95 1.70 1.44 1.18 0.94 0.75 0.61 0.55 0.53 0.53 0.50 0.38 0.19 0.00 0.00 0.00 0.00 0.01 0.20 0.34 0.40 0.42 0.43 0.50 0.62 0.81 1.02 1.26 1.52 1.80 2.08 2.32 2.47 2.48 2.33 2.07 1.74 1.42 1.13 0.88 0.66 0.47 0.33 0.26 0.27 0.33 0.39 0.39 0.31 0.15 0.00 0.00 0.00 0.10 0.30 0.46 0.53 0.51 0.44 0.38 0.38 0.46 0.62 0.83 1.07 1.33 1.61 1.88 2.10 2.23 2.24 2.14 1.95 1.70 1.44 1.18 0.94 0.75 0.61 0.55 0.53 0.53 0.50 0.38 0.19 0.00 0.00 0.00 0.00 0.01 0.20 0.34 0.40 0.42 0.43 0.50 0.62 0.81 1.02 1.26 1.52 1.80 2.08 2.32 2.47 2.48 85.0 + 87.5 2.30 2.20 2.00 1.74 1.47 1.22 0.99 0.78 0.59 0.45 0.37 0.37 0.40 0.41 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.33 0.41 0.40 0.37 0.37 0.44 0.58 0.77 0.98 1.21 1.46 1.73 1.99 2.19 2.30 2.28 2.14 1.92 1.67 1.43 1.19 0.96 0.76 0.59 0.47 0.43 0.41 0.38 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.37 0.41 0.42 0.47 0.58 0.75 0.95 1.18 1.42 1.66 1.91 2.13 2.27 2.30 2.20 2.00 1.74 1.47 1.22 0.99 0.78 0.59 0.45 0.37 0.37 0.40 0.41 0.34 0.17 0.00 0.00 0.00 0.00 0.00 0.16 0.33 0.41 0.40 0.37 0.37 0.44 0.58 0.77 0.98 1.21 1.46 1.73 1.99 2.19 2.30 2.28 2.14 1.92 1.67 1.43 1.19 0.96 0.76 0.59 0.47 0.43 0.41 0.38 0.27 0.08 0.00 0.00 0.00 0.00 0.00 0.07 0.26 0.37 0.41 0.42 0.47 0.58 0.75 0.95 1.18 1.42 1.66 1.91 2.13 2.27 2.30 87.5 + 90.0 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 90.0 + + 90.0 DEGREE - PHI2-SECTION ( FMAX ABS = 3.88 FMAX-I = 3.88 ) PHI2 = 0. +------- 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5 25.0 27.5 30.0 32.5 35.0 37.5 40.0 42.5 45.0 47.5 50.0 52.5 55.0 57.5 60.0 62.5 65.0 67.5 70.0 72.5 75.0 77.5 80.0 82.5 85.0 87.5 90.0 92.5 95.0 97.5 100.0 102.5 105.0 107.5 110.0 112.5 115.0 117.5 120.0 122.5 125.0 127.5 130.0 132.5 135.0 137.5 140.0 142.5 145.0 147.5 150.0 152.5 155.0 157.5 160.0 162.5 165.0 167.5 170.0 172.5 175.0 177.5 180.0 182.5 185.0 187.5 190.0 192.5 195.0 197.5 200.0 202.5 205.0 207.5 210.0 212.5 215.0 217.5 220.0 222.5 225.0 227.5 230.0 232.5 235.0 237.5 240.0 242.5 245.0 247.5 250.0 252.5 255.0 257.5 260.0 262.5 265.0 267.5 270.0 272.5 275.0 277.5 280.0 282.5 285.0 287.5 290.0 292.5 295.0 297.5 300.0 302.5 305.0 307.5 310.0 312.5 315.0 317.5 320.0 322.5 325.0 327.5 330.0 332.5 335.0 337.5 340.0 342.5 345.0 347.5 350.0 352.5 355.0 357.5 360.0 ------- + + 0.0 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 2.18 2.01 1.79 1.56 1.33 1.12 0.91 0.71 0.54 0.43 0.39 0.38 0.34 0.23 0.02 0.00 0.00 0.00 0.00 0.00 0.02 0.23 0.34 0.38 0.39 0.43 0.54 0.71 0.91 1.12 1.33 1.56 1.79 2.01 2.18 2.24 0.0 + 2.5 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.24 2.07 1.83 1.57 1.33 1.10 0.89 0.68 0.51 0.40 0.35 0.35 0.33 0.24 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.27 0.38 0.41 0.41 0.44 0.53 0.68 0.87 1.08 1.31 1.54 1.78 2.00 2.16 2.22 2.16 2.00 1.78 1.54 1.31 1.08 0.87 0.68 0.53 0.44 0.41 0.41 0.38 0.27 0.06 0.00 0.00 0.00 0.00 0.00 0.06 0.24 0.33 0.35 0.35 0.40 0.51 0.68 0.89 1.10 1.33 1.57 1.83 2.07 2.24 2.31 2.5 + 5.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 5.0 + 7.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 7.5 + 10.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 10.0 + 12.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 12.5 + 15.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 15.0 + 17.5 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 17.5 + 20.0 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 20.0 + 22.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 22.5 + 25.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 25.0 + 27.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 27.5 + 30.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 30.0 + 32.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 32.5 + 35.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 35.0 + 37.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 37.5 + 40.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 40.0 + 42.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 42.5 + 45.0 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 1.06 0.65 0.21 0.00 0.06 0.39 0.79 1.11 1.35 1.59 1.99 2.61 3.31 3.82 3.88 3.35 2.38 1.31 0.52 0.22 0.40 0.80 1.12 1.18 0.98 0.70 0.52 0.56 0.80 1.08 1.26 1.22 1.00 0.69 0.44 0.34 0.44 0.69 1.00 1.22 1.26 1.08 0.80 0.56 0.52 0.70 0.98 1.18 1.12 0.80 0.40 0.22 0.52 1.31 2.38 3.35 3.88 3.82 3.31 2.61 1.99 1.59 1.35 1.11 0.79 0.39 0.06 0.00 0.21 0.65 1.06 1.23 45.0 + 47.5 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 1.06 0.66 0.24 0.02 0.11 0.44 0.83 1.15 1.36 1.57 1.93 2.51 3.17 3.67 3.71 3.18 2.23 1.17 0.37 0.07 0.23 0.61 0.92 0.98 0.78 0.49 0.31 0.35 0.58 0.86 1.03 1.01 0.81 0.52 0.27 0.18 0.27 0.52 0.81 1.01 1.03 0.86 0.58 0.35 0.31 0.49 0.78 0.98 0.92 0.61 0.23 0.07 0.37 1.17 2.23 3.18 3.71 3.67 3.17 2.51 1.93 1.57 1.36 1.15 0.83 0.44 0.11 0.02 0.24 0.66 1.06 1.23 47.5 + 50.0 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 1.09 0.72 0.34 0.15 0.26 0.58 0.95 1.23 1.38 1.51 1.78 2.25 2.82 3.24 3.27 2.76 1.84 0.82 0.04 0.00 0.00 0.18 0.46 0.49 0.29 0.00 0.00 0.00 0.03 0.31 0.50 0.51 0.35 0.11 0.00 0.00 0.00 0.11 0.35 0.51 0.50 0.31 0.03 0.00 0.00 0.00 0.29 0.49 0.46 0.18 0.00 0.00 0.04 0.82 1.84 2.76 3.27 3.24 2.82 2.25 1.78 1.51 1.38 1.23 0.95 0.58 0.26 0.15 0.34 0.72 1.09 1.24 50.0 + 52.5 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 1.23 0.90 0.55 0.39 0.50 0.80 1.13 1.35 1.42 1.44 1.57 1.89 2.34 2.70 2.72 2.27 1.43 0.48 0.00 0.00 0.00 0.00 0.02 0.03 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.03 0.02 0.00 0.00 0.00 0.00 0.48 1.43 2.27 2.72 2.70 2.34 1.89 1.57 1.44 1.42 1.35 1.13 0.80 0.50 0.39 0.55 0.90 1.23 1.37 52.5 + 55.0 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 1.54 1.22 0.89 0.72 0.79 1.04 1.31 1.46 1.44 1.35 1.35 1.54 1.87 2.18 2.22 1.86 1.17 0.34 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.34 1.17 1.86 2.22 2.18 1.87 1.54 1.35 1.35 1.44 1.46 1.31 1.04 0.79 0.72 0.89 1.22 1.54 1.67 55.0 + 57.5 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 1.95 1.63 1.28 1.07 1.07 1.24 1.43 1.51 1.43 1.26 1.15 1.23 1.48 1.75 1.85 1.63 1.10 0.44 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.05 0.09 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.14 0.14 0.00 0.00 0.00 0.00 0.44 1.10 1.63 1.85 1.75 1.48 1.23 1.15 1.26 1.43 1.51 1.43 1.24 1.07 1.07 1.28 1.63 1.95 2.08 57.5 + 60.0 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 2.33 1.99 1.60 1.32 1.24 1.33 1.45 1.47 1.35 1.13 0.96 0.97 1.15 1.42 1.58 1.49 1.13 0.64 0.22 0.04 0.14 0.39 0.61 0.63 0.43 0.11 0.00 0.00 0.00 0.07 0.34 0.55 0.63 0.62 0.58 0.55 0.58 0.62 0.63 0.55 0.34 0.07 0.00 0.00 0.00 0.11 0.43 0.63 0.61 0.39 0.14 0.04 0.22 0.64 1.13 1.49 1.58 1.42 1.15 0.97 0.96 1.13 1.35 1.47 1.45 1.33 1.24 1.32 1.60 1.99 2.33 2.47 60.0 + 62.5 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 2.53 2.17 1.74 1.40 1.24 1.26 1.33 1.33 1.20 0.97 0.77 0.72 0.87 1.12 1.32 1.33 1.09 0.73 0.42 0.31 0.45 0.74 0.99 1.05 0.89 0.58 0.29 0.17 0.25 0.50 0.79 1.02 1.14 1.15 1.11 1.09 1.11 1.15 1.14 1.02 0.79 0.50 0.25 0.17 0.29 0.58 0.89 1.05 0.99 0.74 0.45 0.31 0.42 0.73 1.09 1.33 1.32 1.12 0.87 0.72 0.77 0.97 1.20 1.33 1.33 1.26 1.24 1.40 1.74 2.17 2.53 2.67 62.5 + 65.0 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 2.50 2.12 1.67 1.28 1.08 1.05 1.09 1.09 0.97 0.76 0.55 0.47 0.57 0.80 1.00 1.04 0.87 0.58 0.33 0.27 0.44 0.76 1.06 1.17 1.04 0.77 0.49 0.36 0.44 0.68 0.99 1.23 1.36 1.38 1.34 1.32 1.34 1.38 1.36 1.23 0.99 0.68 0.44 0.36 0.49 0.77 1.04 1.17 1.06 0.76 0.44 0.27 0.33 0.58 0.87 1.04 1.00 0.80 0.57 0.47 0.55 0.76 0.97 1.09 1.09 1.05 1.08 1.28 1.67 2.12 2.50 2.64 65.0 + 67.5 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 2.28 1.91 1.45 1.05 0.82 0.77 0.80 0.81 0.71 0.52 0.31 0.22 0.28 0.45 0.62 0.65 0.49 0.21 0.00 0.00 0.12 0.46 0.78 0.93 0.85 0.61 0.34 0.22 0.30 0.55 0.86 1.12 1.25 1.28 1.24 1.22 1.24 1.28 1.25 1.12 0.86 0.55 0.30 0.22 0.34 0.61 0.85 0.93 0.78 0.46 0.12 0.00 0.00 0.21 0.49 0.65 0.62 0.45 0.28 0.22 0.31 0.52 0.71 0.81 0.80 0.77 0.82 1.05 1.45 1.91 2.28 2.42 67.5 + 70.0 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 2.05 1.69 1.24 0.84 0.59 0.52 0.54 0.55 0.46 0.28 0.09 0.00 0.02 0.15 0.27 0.26 0.08 0.00 0.00 0.00 0.00 0.01 0.34 0.51 0.46 0.24 0.00 0.00 0.00 0.22 0.53 0.80 0.95 0.99 0.97 0.96 0.97 0.99 0.95 0.80 0.53 0.22 0.00 0.00 0.00 0.24 0.46 0.51 0.34 0.01 0.00 0.00 0.00 0.00 0.08 0.26 0.27 0.15 0.02 0.00 0.09 0.28 0.46 0.55 0.54 0.52 0.59 0.84 1.24 1.69 2.05 2.19 70.0 + 72.5 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 1.96 1.61 1.17 0.76 0.50 0.39 0.37 0.35 0.26 0.09 0.00 0.00 0.00 0.00 0.05 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.10 0.00 0.00 0.00 0.00 0.00 0.24 0.53 0.70 0.77 0.78 0.77 0.78 0.77 0.70 0.53 0.24 0.00 0.00 0.00 0.00 0.00 0.10 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.05 0.00 0.00 0.00 0.00 0.09 0.26 0.35 0.37 0.39 0.50 0.76 1.17 1.61 1.96 2.10 72.5 + 75.0 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 2.07 1.73 1.29 0.87 0.58 0.42 0.34 0.26 0.15 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.17 0.47 0.68 0.79 0.83 0.84 0.83 0.79 0.68 0.47 0.17 0.00 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.15 0.26 0.34 0.42 0.58 0.87 1.29 1.73 2.07 2.19 75.0 + 77.5 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 2.28 1.96 1.53 1.11 0.78 0.56 0.41 0.28 0.13 0.00 0.00 0.00 0.00 0.02 0.07 0.01 0.00 0.00 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.03 0.34 0.65 0.89 1.05 1.13 1.15 1.13 1.05 0.89 0.65 0.34 0.03 0.00 0.00 0.00 0.00 0.05 0.13 0.05 0.00 0.00 0.00 0.00 0.00 0.00 0.01 0.07 0.02 0.00 0.00 0.00 0.00 0.13 0.28 0.41 0.56 0.78 1.11 1.53 1.96 2.28 2.40 77.5 + 80.0 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 2.46 2.17 1.77 1.36 1.02 0.76 0.55 0.37 0.19 0.05 0.00 0.00 0.06 0.15 0.17 0.08 0.00 0.00 0.00 0.00 0.00 0.13 0.29 0.33 0.25 0.11 0.01 0.00 0.13 0.37 0.67 0.97 1.23 1.42 1.53 1.57 1.53 1.42 1.23 0.97 0.67 0.37 0.13 0.00 0.01 0.11 0.25 0.33 0.29 0.13 0.00 0.00 0.00 0.00 0.00 0.08 0.17 0.15 0.06 0.00 0.00 0.05 0.19 0.37 0.55 0.76 1.02 1.36 1.77 2.17 2.46 2.57 80.0 + 82.5 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 2.50 2.24 1.89 1.53 1.20 0.93 0.70 0.49 0.31 0.17 0.12 0.14 0.20 0.23 0.19 0.08 0.00 0.00 0.00 0.00 0.11 0.31 0.44 0.46 0.40 0.32 0.28 0.33 0.49 0.72 0.99 1.27 1.53 1.75 1.88 1.93 1.88 1.75 1.53 1.27 0.99 0.72 0.49 0.33 0.28 0.32 0.40 0.46 0.44 0.31 0.11 0.00 0.00 0.00 0.00 0.08 0.19 0.23 0.20 0.14 0.12 0.17 0.31 0.49 0.70 0.93 1.20 1.53 1.89 2.24 2.50 2.60 82.5 + 85.0 2.47 2.40 2.18 1.89 1.58 1.30 1.05 0.82 0.60 0.42 0.30 0.26 0.27 0.29 0.25 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.34 0.45 0.48 0.44 0.42 0.46 0.56 0.74 0.96 1.21 1.46 1.71 1.94 2.09 2.14 2.09 1.94 1.71 1.46 1.21 0.96 0.74 0.56 0.46 0.42 0.44 0.48 0.45 0.34 0.14 0.00 0.00 0.00 0.00 0.00 0.14 0.25 0.29 0.27 0.26 0.30 0.42 0.60 0.82 1.05 1.30 1.58 1.89 2.18 2.40 2.47 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100644 index 000000000..865c06c48 --- /dev/null +++ b/python/tests/reference/Rotation/ODF_experimental.txt @@ -0,0 +1,198510 @@ +# phi_1 fast, phi_2 slow +# range(0,...,360.0;0,...,90.0;0,...,90.0)/deg +# resolution 2.5 deg +# vertex centered, start/end points duplicated +intensity +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 +0.23 +0.02 +0.0 +0.0 +0.0 +0.0 +0.0 +0.02 +0.23 +0.34 +0.38 +0.39 +0.43 +0.54 +0.71 +0.91 +1.12 +1.33 +1.56 +1.79 +2.01 +2.18 +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 +0.23 +0.02 +0.0 +0.0 +0.0 +0.0 +0.0 +0.02 +0.23 +0.34 +0.38 +0.39 +0.43 +0.54 +0.71 +0.91 +1.12 +1.33 +1.56 +1.79 +2.01 +2.18 +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 +0.23 +0.02 +0.0 +0.0 +0.0 +0.0 +0.0 +0.02 +0.23 +0.34 +0.38 +0.39 +0.43 +0.54 +0.71 +0.91 +1.12 +1.33 +1.56 +1.79 +2.01 +2.18 +2.24 +2.18 +2.01 +1.79 +1.56 +1.33 +1.12 +0.91 +0.71 +0.54 +0.43 +0.39 +0.38 +0.34 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b/python/tests/reference/Rotation/Visualize_hybridIA_sampling.ipynb @@ -0,0 +1,276 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import damask\n", + "\n", + "from pathlib import Path" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "orientations,rODF = damask.Rotation.from_ODF('hybridIA_ODF.txt',\n", + " 2**14,\n", + " degrees=True,\n", + " reconstruct=True,\n", + " fractions=True,\n", + " seed=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "VTK = damask.VTK.from_rectilinearGrid([36,36,36],[90,90,90])\n", + "VTK.add(damask.Table.from_ASCII('hybridIA_ODF.txt').get('intensity'),'intensity')\n", + "VTK.add(rODF.flatten(order='F'),'rODF')\n", + "VTK.to_file('hybridIA_ODF.vtr')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on class VTK in module damask._vtk:\n", + "\n", + "class VTK(builtins.object)\n", + " | VTK(geom)\n", + " | \n", + " | Spatial visualization (and potentially manipulation).\n", + " | \n", + " | High-level interface to VTK.\n", + " | \n", + " | Methods defined here:\n", + " | \n", + " | __init__(self, geom)\n", + " | Set geometry and topology.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | geom : subclass of vtk.vtkDataSet\n", + " | Description of geometry and topology. Valid types are vtk.vtkRectilinearGrid,\n", + " | vtk.vtkUnstructuredGrid, or vtk.vtkPolyData.\n", + " | \n", + " | __repr__(self)\n", + " | ASCII representation of the VTK data.\n", + " | \n", + " | add(self, data, label=None)\n", + " | Add data to either cells or points.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | data : numpy.ndarray\n", + " | Data to add. First dimension need to match either\n", + " | number of cells or number of points\n", + " | label : str\n", + " | Data label.\n", + " | \n", + " | add_comments(self, comments)\n", + " | Add Comments.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | comments : str or list of str\n", + " | Comments to add.\n", + " | \n", + " | get(self, label)\n", + " | Get either cell or point data.\n", + " | \n", + " | Cell data takes precedence over point data, i.e. this\n", + " | function assumes that labels are unique among cell and\n", + " | point data.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | label : str\n", + " | Data label.\n", + " | \n", + " | get_comments(self)\n", + " | Return the comments.\n", + " | \n", + " | set_comments(self, comments)\n", + " | Set Comments.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | comments : str or list of str\n", + " | Comments.\n", + " | \n", + " | show(self)\n", + " | Render.\n", + " | \n", + " | See http://compilatrix.com/article/vtk-1 for further ideas.\n", + " | \n", + " | write(self, fname, parallel=True)\n", + " | Write to file.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | fname : str or pathlib.Path\n", + " | Filename for writing.\n", + " | parallel : boolean, optional\n", + " | Write data in parallel background process. Defaults to True.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Static methods defined here:\n", + " | \n", + " | from_file(fname, dataset_type=None)\n", + " | Create VTK from file.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | fname : str or pathlib.Path\n", + " | Filename for reading. Valid extensions are .vtr, .vtu, .vtp, and .vtk.\n", + " | dataset_type : str, optional\n", + " | Name of the vtk.vtkDataSet subclass when opening an .vtk file. Valid types are vtkRectilinearGrid,\n", + " | vtkUnstructuredGrid, and vtkPolyData.\n", + " | \n", + " | from_polyData(points)\n", + " | Create VTK of type vtk.polyData.\n", + " | \n", + " | This is the common type for point-wise data.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | points : numpy.ndarray of shape (:,3)\n", + " | Spatial position of the points.\n", + " | \n", + " | from_rectilinearGrid(grid, size, origin=array([0., 0., 0.]))\n", + " | Create VTK of type vtk.vtkRectilinearGrid.\n", + " | \n", + " | This is the common type for results from the grid solver.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | grid : numpy.ndarray of shape (3) of np.dtype = int\n", + " | Number of cells.\n", + " | size : numpy.ndarray of shape (3)\n", + " | Physical length.\n", + " | origin : numpy.ndarray of shape (3), optional\n", + " | Spatial origin.\n", + " | \n", + " | from_unstructuredGrid(nodes, connectivity, cell_type)\n", + " | Create VTK of type vtk.vtkUnstructuredGrid.\n", + " | \n", + " | This is the common type for results from FEM solvers.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | nodes : numpy.ndarray of shape (:,3)\n", + " | Spatial position of the nodes.\n", + " | connectivity : numpy.ndarray of np.dtype = int\n", + " | Cell connectivity (0-based), first dimension determines #Cells, second dimension determines #Nodes/Cell.\n", + " | cell_type : str\n", + " | Name of the vtk.vtkCell subclass. Tested for TRIANGLE, QUAD, TETRA, and HEXAHEDRON.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Data descriptors defined here:\n", + " | \n", + " | __dict__\n", + " | dictionary for instance variables (if defined)\n", + " | \n", + " | __weakref__\n", + " | list of weak references to the object (if defined)\n", + "\n" + ] + } + ], + "source": [ + "help(damask.VTK)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "a,b=np.radians(([90,90],[45,45]))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.57079633, 1.57079633])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.78539816, 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AQAAAACAAABAAAAALAAAAA==eF5jYICASSqeQLTJHkIfsr+9LReITkP5l+zB3NvXoOK37SG6HtgDANusGUo= + + + + + diff --git a/python/tests/test_Colormap.py b/python/tests/test_Colormap.py new file mode 100644 index 000000000..71d896016 --- /dev/null +++ b/python/tests/test_Colormap.py @@ -0,0 +1,159 @@ +import os +import filecmp +import time + +import numpy as np +import pytest +from PIL import Image +from PIL import ImageChops + +from damask import Colormap + +@pytest.fixture +def reference_dir(reference_dir_base): + """Directory containing reference results.""" + return reference_dir_base/'Colormap' + +class TestColormap: + + @pytest.fixture(autouse=True) + def _execution_stamp(self, execution_stamp): + print('patched damask.util.execution_stamp') + + def test_conversion(self): + specials = np.array([[0.,0.,0.], + [1.,0.,0.], + [0.,1.,0.], + [0.,0.,1.], + [1.,1.,0.], + [0.,1.,1.], + [1.,0.,1.], + [1.,1.,1.] + ]) + rgbs = np.vstack((specials,np.random.rand(100,3))) + for rgb in rgbs: + print('rgb',rgb) + + # rgb2hsv2rgb + hsv = Colormap._rgb2hsv(rgb) + print('hsv',hsv) + assert np.allclose(Colormap._hsv2rgb(hsv),rgb) + + # rgb2hsl2rgb + hsl = Colormap._rgb2hsl(rgb) + print('hsl',hsl) + assert np.allclose(Colormap._hsl2rgb(hsl),rgb) + + # rgb2xyz2rgb + xyz = Colormap._rgb2xyz(rgb) + print('xyz',xyz) + assert np.allclose(Colormap._xyz2rgb(xyz),rgb,atol=1.e-6,rtol=0) + + # xyz2lab2xyz + lab = Colormap._xyz2lab(xyz) + print('lab',lab) + assert np.allclose(Colormap._lab2xyz(lab),xyz) + + # lab2msh2lab + msh = Colormap._lab2msh(lab) + print('msh',msh) + assert np.allclose(Colormap._msh2lab(msh),lab) + + # lab2rgb2lab + assert np.allclose(Colormap._rgb2lab(Colormap._lab2rgb(lab)),lab,atol=1.e-6,rtol=0) + + # rgb2msh2rgb + assert np.allclose(Colormap._msh2rgb(Colormap._rgb2msh(rgb)),rgb,atol=1.e-6,rtol=0) + + # hsv2msh + assert np.allclose(Colormap._hsv2msh(hsv),msh,atol=1.e-6,rtol=0) + + # hsl2msh + assert np.allclose(Colormap._hsv2msh(hsv),msh,atol=1.e-6,rtol=0) + + # xyz2msh + assert np.allclose(Colormap._xyz2msh(xyz),msh,atol=1.e-6,rtol=0) + + + @pytest.mark.parametrize('format',['ASCII','paraview','GOM','gmsh']) + @pytest.mark.parametrize('model',['rgb','hsv','hsl','xyz','lab','msh']) + def test_from_range(self,model,format,tmp_path): + N = np.random.randint(2,256) + c = Colormap.from_range(np.random.rand(3),np.random.rand(3),model=model,N=N) # noqa + eval(f'c.save_{format}(tmp_path/"color_out")') + + @pytest.mark.parametrize('format',['ASCII','paraview','GOM','gmsh']) + @pytest.mark.parametrize('name',['strain','gnuplot','Greys','PRGn','viridis']) + def test_from_predefined(self,name,format,tmp_path): + N = np.random.randint(2,256) + c = Colormap.from_predefined(name,N) # noqa + os.chdir(tmp_path) + eval(f'c.save_{format}()') + + @pytest.mark.parametrize('format,name',[('ASCII','test.txt'), + ('paraview','test.json'), + ('GOM','test.legend'), + ('gmsh','test.msh') + ]) + def test_write_filehandle(self,format,name,tmp_path): + c = Colormap.from_predefined('Dark2') # noqa + fname = tmp_path/name + with open(fname,'w') as f: # noqa + eval(f'c.save_{format}(f)') + for i in range(10): + if fname.exists(): return + time.sleep(.5) + assert False + + @pytest.mark.parametrize('model',['rgb','hsv','hsl','lab','invalid']) + def test_invalid_color(self,model): + with pytest.raises(ValueError): + c = Colormap.from_range(-2.+np.random.rand(3),np.random.rand(3),N=10,model=model) # noqa + + def test_reversed(self): + c_1 = Colormap.from_predefined('stress') + c_2 = c_1.reversed() + assert (not np.allclose(c_1.colors,c_2.colors)) and \ + np.allclose(c_1.colors,c_2.reversed().colors) + + def test_invert(self): + c_1 = Colormap.from_predefined('strain') + c_2 = ~c_1 + assert (not np.allclose(c_1.colors, c_2.colors)) and \ + np.allclose(c_1.colors,(~c_2).colors) + + def test_add(self): + c = Colormap.from_predefined('jet') + c += c + assert (np.allclose(c.colors[:len(c.colors)//2],c.colors[len(c.colors)//2:])) + + @pytest.mark.parametrize('bounds',[None,[2,10]]) + def test_shade(self,reference_dir,update,bounds): + data = np.add(*np.indices((10, 11))) + img_current = Colormap.from_predefined('orientation').shade(data,bounds=bounds) + if update: + img_current.save(reference_dir/f'shade_{bounds}.png') + else: + img_reference = Image.open(reference_dir/f'shade_{bounds}.png') + diff = ImageChops.difference(img_reference.convert('RGB'),img_current.convert('RGB')) + assert not diff.getbbox() + + def test_list(self): + Colormap.list_predefined() + + @pytest.mark.parametrize('format,ext',[('ASCII','.txt'), + ('paraview','.json'), + ('GOM','.legend'), + ('gmsh','.msh') + ]) + def test_compare_reference(self,format,ext,tmp_path,reference_dir,update): + name = 'binary' + c = Colormap.from_predefined(name) # noqa + if update: + os.chdir(reference_dir) + eval(f'c.save_{format}()') + else: + os.chdir(tmp_path) + eval(f'c.save_{format}()') + time.sleep(.5) + assert filecmp.cmp(tmp_path/(name+ext),reference_dir/(name+ext)) diff --git a/python/tests/test_Config.py b/python/tests/test_Config.py new file mode 100644 index 000000000..67c419b3e --- /dev/null +++ b/python/tests/test_Config.py @@ -0,0 +1,40 @@ +import pytest +import numpy as np + +from damask import Config + +class TestConfig: + + @pytest.mark.parametrize('flow_style',[None,True,False]) + def test_load_save_str(self,tmp_path,flow_style): + config = Config() + config['A'] = 1 + config['B'] = [2,3] + config.save(tmp_path/'config.yaml',default_flow_style=flow_style) + assert Config.load(tmp_path/'config.yaml') == config + + def test_load_save_file(self,tmp_path): + config = Config() + config['A'] = 1 + config['B'] = [2,3] + with open(tmp_path/'config.yaml','w') as f: + config.save(f) + with open(tmp_path/'config.yaml') as f: + assert Config.load(f) == config + + def test_repr(self,tmp_path): + config = Config() + config['A'] = 1 + config['B'] = [2,3] + with open(tmp_path/'config.yaml','w') as f: + f.write(config.__repr__()) + assert Config.load(tmp_path/'config.yaml') == config + + def test_numpy(self,tmp_path): + assert Config({'A':np.ones(3,'i')}).__repr__() == Config({'A':[1,1,1]}).__repr__() + + def test_abstract_is_valid(self): + assert Config().is_valid is None + + def test_abstract_is_complete(self): + assert Config().is_complete is None diff --git a/python/tests/test_ConfigMaterial.py b/python/tests/test_ConfigMaterial.py new file mode 100644 index 000000000..0f2b6a90c --- /dev/null +++ b/python/tests/test_ConfigMaterial.py @@ -0,0 +1,93 @@ +import os + +import pytest +import numpy as np + +from damask import ConfigMaterial +from damask import Table + +@pytest.fixture +def reference_dir(reference_dir_base): + """Directory containing reference results.""" + return reference_dir_base/'ConfigMaterial' + + +class TestConfigMaterial: + + @pytest.mark.parametrize('fname',[None,'test.yaml']) + def test_load_save(self,reference_dir,tmp_path,fname): + reference = ConfigMaterial.load(reference_dir/'material.yaml') + os.chdir(tmp_path) + if fname is None: + reference.save() + new = ConfigMaterial.load('material.yaml') + else: + reference.save(fname) + new = ConfigMaterial.load(fname) + assert reference == new + + def test_valid_complete(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + assert material_config.is_valid and material_config.is_complete + + def test_invalid_lattice(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + material_config['phase']['Aluminum']['lattice']='fxc' + assert not material_config.is_valid + + def test_invalid_orientation(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + material_config['material'][0]['constituents'][0]['O']=[0,0,0,0] + assert not material_config.is_valid + + def test_invalid_fraction(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + material_config['material'][0]['constituents'][0]['fraction']=.9 + assert not material_config.is_valid + + @pytest.mark.parametrize('item',['homogenization','phase','material']) + def test_incomplete_missing(self,reference_dir,item): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + del material_config[item] + assert not material_config.is_complete + + @pytest.mark.parametrize('item',['O','phase']) + def test_incomplete_material_constituent(self,reference_dir,item): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + del material_config['material'][0]['constituents'][0][item] + assert not material_config.is_complete + + def test_incomplete_material_homogenization(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + del material_config['material'][0]['homogenization'] + assert not material_config.is_complete + + def test_incomplete_phase_lattice(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + del material_config['phase']['Aluminum']['lattice'] + assert not material_config.is_complete + + def test_incomplete_wrong_phase(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + new = material_config.material_rename_phase({'Steel':'FeNbC'}) + assert not new.is_complete + + def test_incomplete_wrong_homogenization(self,reference_dir): + material_config = ConfigMaterial.load(reference_dir/'material.yaml') + new = material_config.material_rename_homogenization({'Taylor':'isostrain'}) + assert not new.is_complete + + def test_from_table(self): + N = np.random.randint(3,10) + a = np.vstack((np.hstack((np.arange(N),np.arange(N)[::-1])),np.ones(N*2),np.zeros(N*2),np.ones(N*2))).T + t = Table(a,{'varying':2,'constant':2}) + c = ConfigMaterial.from_table(t,constituents={'a':'varying','b':'1_constant'},c='2_constant') + assert len(c['material']) == N + for i,m in enumerate(c['material']): + c = m['constituents'][0] + assert m['c'] == 1 and c['b'] == 0 and c['a'] == [i,1] + + def test__constituents(self): + c = ConfigMaterial._constituents(c=1,v=[2,3]) + assert c[0][0]['c'] == c[1][0]['c'] == 1 + assert c[0][0]['v'] == c[1][0]['v'] -1 ==2 diff --git a/python/tests/test_Geom.py b/python/tests/test_Geom.py index 0f8c10066..0d393a4c4 100644 --- a/python/tests/test_Geom.py +++ b/python/tests/test_Geom.py @@ -1,16 +1,19 @@ -import copy -import os - import pytest import numpy as np +from damask import VTK from damask import Geom +from damask import Table +from damask import Rotation +from damask import util +from damask import grid_filters def geom_equal(a,b): - return np.all(a.get_microstructure() == b.get_microstructure()) and \ - np.all(a.get_size() == b.get_size()) and \ - np.all(a.get_grid() == b.get_grid()) + return np.all(a.material == b.material) and \ + np.all(a.grid == b.grid) and \ + np.allclose(a.size, b.size) and \ + str(a.diff(b)) == str(b.diff(a)) @pytest.fixture def default(): @@ -18,44 +21,74 @@ def default(): x=np.concatenate((np.ones(40,dtype=int), np.arange(2,42), np.ones(40,dtype=int)*2, - np.arange(1,41))).reshape(8,5,4) + np.arange(1,41))).reshape(8,5,4,order='F') return Geom(x,[8e-6,5e-6,4e-6]) @pytest.fixture def reference_dir(reference_dir_base): """Directory containing reference results.""" - return os.path.join(reference_dir_base,'Geom') + return reference_dir_base/'Geom' class TestGeom: - def test_update(self,default): - modified = copy.deepcopy(default) - modified.update( - default.get_microstructure(), - default.get_size(), - default.get_origin() - ) - assert geom_equal(modified,default) + @pytest.fixture(autouse=True) + def _execution_stamp(self, execution_stamp): + print('patched damask.util.execution_stamp') + + def test_diff_equal(self,default): + assert str(default.diff(default)) == '' - def test_write_read_str(self,default,tmpdir): - default.to_file(str(tmpdir.join('default.geom'))) - new = Geom.from_file(str(tmpdir.join('default.geom'))) + def test_diff_not_equal(self,default): + new = Geom(default.material[1:,1:,1:]+1,default.size*.9,np.ones(3)-default.origin,comments=['modified']) + assert str(default.diff(new)) != '' + + + def test_read_write_vtr(self,default,tmp_path): + default.save(tmp_path/'default') + new = Geom.load(tmp_path/'default.vtr') assert geom_equal(new,default) - def test_write_read_file(self,default,tmpdir): - with open(tmpdir.join('default.geom'),'w') as f: - default.to_file(f) - with open(tmpdir.join('default.geom')) as f: - new = Geom.from_file(f) - assert geom_equal(new,default) + def test_invalid_vtr(self,tmp_path): + v = VTK.from_rectilinear_grid(np.random.randint(5,10,3)*2,np.random.random(3) + 1.0) + v.save(tmp_path/'no_materialpoint.vtr') + with pytest.raises(ValueError): + Geom.load(tmp_path/'no_materialpoint.vtr') + + def test_invalid_material(self): + with pytest.raises(TypeError): + Geom(np.zeros((3,3,3),dtype='complex'),np.ones(3)) + + def test_cast_to_int(self): + g = Geom(np.zeros((3,3,3)),np.ones(3)) + assert g.material.dtype in np.sctypes['int'] + + def test_invalid_size(self,default): + with pytest.raises(ValueError): + Geom(default.material[1:,1:,1:], + size=np.ones(2)) + + + def test_invalid_origin(self,default): + with pytest.raises(ValueError): + Geom(default.material[1:,1:,1:], + size=np.ones(3), + origin=np.ones(4)) + + + def test_invalid_materials_shape(self,default): + material = np.ones((3,3)) + with pytest.raises(ValueError): + Geom(material, + size=np.ones(3)) + + + def test_invalid_materials_type(self,default): + material = np.random.randint(1,300,(3,4,5))==1 + with pytest.raises(TypeError): + Geom(material) - @pytest.mark.parametrize('pack',[True,False]) - def test_pack(self,default,tmpdir,pack): - default.to_file(tmpdir.join('default.geom'),pack=pack) - new = Geom.from_file(tmpdir.join('default.geom')) - assert geom_equal(new,default) @pytest.mark.parametrize('directions,reflect',[ (['x'], False), @@ -65,21 +98,63 @@ class TestGeom: ] ) def test_mirror(self,default,update,reference_dir,directions,reflect): - modified = copy.deepcopy(default) - modified.mirror(directions,reflect) - tag = 'directions={}_reflect={}'.format('-'.join(directions),reflect) - reference = os.path.join(reference_dir,'mirror_{}.geom'.format(tag)) - if update: modified.to_file(reference) - assert geom_equal(modified,Geom.from_file(reference)) + modified = default.mirror(directions,reflect) + tag = f'directions_{"-".join(directions)}+reflect_{reflect}' + reference = reference_dir/f'mirror_{tag}.vtr' + if update: modified.save(reference) + assert geom_equal(Geom.load(reference), + modified) + + + @pytest.mark.parametrize('directions',[(1,2,'y'),('a','b','x'),[1]]) + def test_mirror_invalid(self,default,directions): + with pytest.raises(ValueError): + default.mirror(directions) + + + @pytest.mark.parametrize('directions',[ + ['x'], + ['x','y','z'], + ['z','x','y'], + ['y','z'], + ] + ) + def test_flip(self,default,update,reference_dir,directions): + modified = default.flip(directions) + tag = f'directions_{"-".join(directions)}' + reference = reference_dir/f'flip_{tag}.vtr' + if update: modified.save(reference) + assert geom_equal(Geom.load(reference), + modified) + + + def test_flip_invariant(self,default): + assert geom_equal(default,default.flip([])) + + + @pytest.mark.parametrize('direction',[['x'],['x','y']]) + def test_flip_double(self,default,direction): + assert geom_equal(default,default.flip(direction).flip(direction)) + + + @pytest.mark.parametrize('directions',[(1,2,'y'),('a','b','x'),[1]]) + def test_flip_invalid(self,default,directions): + with pytest.raises(ValueError): + default.flip(directions) + @pytest.mark.parametrize('stencil',[1,2,3,4]) - def test_clean(self,default,update,reference_dir,stencil): - modified = copy.deepcopy(default) - modified.clean(stencil) - tag = 'stencil={}'.format(stencil) - reference = os.path.join(reference_dir,'clean_{}.geom'.format(tag)) - if update: modified.to_file(reference) - assert geom_equal(modified,Geom.from_file(reference)) + @pytest.mark.parametrize('selection',[None,[1],[1,2,3]]) + @pytest.mark.parametrize('periodic',[True,False]) + def test_clean(self,default,update,reference_dir,stencil,selection,periodic): + current = default.clean(stencil,selection,periodic) + reference = reference_dir/f'clean_{stencil}_{"+".join(map(str,[None] if selection is None else selection))}_{periodic}' + if update and stencil > 1: + current.save(reference) + assert geom_equal(Geom.load(reference) if stencil > 1 else default, + current + ) + @pytest.mark.parametrize('grid',[ (10,11,10), @@ -91,12 +166,135 @@ class TestGeom: ] ) def test_scale(self,default,update,reference_dir,grid): - modified = copy.deepcopy(default) - modified.scale(grid) - tag = 'grid={}'.format('-'.join([str(x) for x in grid])) - reference = os.path.join(reference_dir,'scale_{}.geom'.format(tag)) - if update: modified.to_file(reference) - assert geom_equal(modified,Geom.from_file(reference)) + modified = default.scale(grid) + tag = f'grid_{util.srepr(grid,"-")}' + reference = reference_dir/f'scale_{tag}.vtr' + if update: modified.save(reference) + assert geom_equal(Geom.load(reference), + modified) + + + def test_renumber(self,default): + material = default.material.copy() + for m in np.unique(material): + material[material==m] = material.max() + np.random.randint(1,30) + default.material -= 1 + modified = Geom(material, + default.size, + default.origin) + assert not geom_equal(modified,default) + assert geom_equal(default, + modified.renumber()) + + + def test_substitute(self,default): + offset = np.random.randint(1,500) + modified = Geom(default.material + offset, + default.size, + default.origin) + assert not geom_equal(modified,default) + assert geom_equal(default, + modified.substitute(np.arange(default.material.max())+1+offset, + np.arange(default.material.max())+1)) + + def test_substitute_invariant(self,default): + f = np.unique(default.material.flatten())[:np.random.randint(1,default.material.max())] + t = np.random.permutation(f) + modified = default.substitute(f,t) + assert np.array_equiv(t,f) or (not geom_equal(modified,default)) + assert geom_equal(default, modified.substitute(t,f)) + + + @pytest.mark.parametrize('axis_angle',[np.array([1,0,0,86.7]), np.array([0,1,0,90.4]), np.array([0,0,1,90]), + np.array([1,0,0,175]),np.array([0,-1,0,178]),np.array([0,0,1,180])]) + def test_rotate360(self,default,axis_angle): + modified = default.copy() + for i in range(np.rint(360/axis_angle[3]).astype(int)): + modified.rotate(Rotation.from_axis_angle(axis_angle,degrees=True)) + assert geom_equal(default,modified) + + + @pytest.mark.parametrize('Eulers',[[32.0,68.0,21.0], + [0.0,32.0,240.0]]) + def test_rotate(self,default,update,reference_dir,Eulers): + modified = default.rotate(Rotation.from_Eulers(Eulers,degrees=True)) + tag = f'Eulers_{util.srepr(Eulers,"-")}' + reference = reference_dir/f'rotate_{tag}.vtr' + if update: modified.save(reference) + assert geom_equal(Geom.load(reference), + modified) + + + def test_canvas(self,default): + grid = default.grid + grid_add = np.random.randint(0,30,(3)) + modified = default.canvas(grid + grid_add) + assert np.all(modified.material[:grid[0],:grid[1],:grid[2]] == default.material) + + + @pytest.mark.parametrize('center1,center2',[(np.random.random(3)*.5,np.random.random()*8), + (np.random.randint(4,8,(3)),np.random.randint(9,12,(3)))]) + @pytest.mark.parametrize('diameter',[np.random.random(3)*.5, + np.random.randint(4,10,(3)), + np.random.rand(), + np.random.randint(30)]) + @pytest.mark.parametrize('exponent',[np.random.random(3)*.5, + np.random.randint(4,10,(3)), + np.random.rand()*4, + np.random.randint(20)]) + def test_add_primitive_shift(self,center1,center2,diameter,exponent): + """Same volume fraction for periodic geometries and different center.""" + o = np.random.random(3)-.5 + g = np.random.randint(8,32,(3)) + s = np.random.random(3)+.5 + G_1 = Geom(np.ones(g,'i'),s,o).add_primitive(diameter,center1,exponent) + G_2 = Geom(np.ones(g,'i'),s,o).add_primitive(diameter,center2,exponent) + assert np.count_nonzero(G_1.material!=2) == np.count_nonzero(G_2.material!=2) + + + @pytest.mark.parametrize('center',[np.random.randint(4,10,(3)), + np.random.randint(2,10), + np.random.rand()*4, + np.random.rand(3)*10]) + @pytest.mark.parametrize('inverse',[True,False]) + @pytest.mark.parametrize('periodic',[True,False]) + def test_add_primitive_rotation(self,center,inverse,periodic): + """Rotation should not change result for sphere (except for discretization errors).""" + g = np.array([32,32,32]) + fill = np.random.randint(10)+2 + eu=np.array([np.random.randint(4),np.random.randint(2),np.random.randint(4)])*.5*np.pi + G_1 = Geom(np.ones(g,'i'),[1.,1.,1.]).add_primitive(.3,center,1,fill,inverse=inverse,periodic=periodic) + G_2 = Geom(np.ones(g,'i'),[1.,1.,1.]).add_primitive(.3,center,1,fill,Rotation.from_Eulers(eu),inverse,periodic=periodic) + assert geom_equal(G_1,G_2) + + + @pytest.mark.parametrize('trigger',[[1],[]]) + def test_vicinity_offset(self,trigger): + offset = np.random.randint(2,4) + vicinity = np.random.randint(2,4) + + g = np.random.randint(28,40,(3)) + m = np.ones(g,'i') + x = (g*np.random.permutation(np.array([.5,1,1]))).astype('i') + m[slice(0,x[0]),slice(0,x[1]),slice(0,x[2])] = 2 + m2 = m.copy() + for i in [0,1,2]: + m2[(np.roll(m,+vicinity,i)-m)!=0] += offset + m2[(np.roll(m,-vicinity,i)-m)!=0] += offset + if len(trigger) > 0: + m2[m==1] = 1 + + geom = Geom(m,np.random.rand(3)).vicinity_offset(vicinity,offset,trigger=trigger) + + assert np.all(m2==geom.material) + + + @pytest.mark.parametrize('periodic',[True,False]) + def test_vicinity_offset_invariant(self,default,periodic): + offset = default.vicinity_offset(trigger=[default.material.max()+1, + default.material.min()-1]) + assert np.all(offset.material==default.material) + @pytest.mark.parametrize('periodic',[True,False]) def test_tessellation_approaches(self,periodic): @@ -104,30 +302,85 @@ class TestGeom: size = np.random.random(3) + 1.0 N_seeds= np.random.randint(10,30) seeds = np.random.rand(N_seeds,3) * np.broadcast_to(size,(N_seeds,3)) - Voronoi = Geom.from_Voronoi_tessellation( grid,size,seeds, periodic) - Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(N_seeds),periodic) + Voronoi = Geom.from_Voronoi_tessellation( grid,size,seeds, np.arange(N_seeds)+5,periodic) + Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(N_seeds),np.arange(N_seeds)+5,periodic) assert geom_equal(Laguerre,Voronoi) + def test_Laguerre_weights(self): grid = np.random.randint(10,20,3) size = np.random.random(3) + 1.0 N_seeds= np.random.randint(10,30) seeds = np.random.rand(N_seeds,3) * np.broadcast_to(size,(N_seeds,3)) weights= np.full((N_seeds),-np.inf) - ms = np.random.randint(1, N_seeds+1) - weights[ms-1] = np.random.random() - Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,weights,np.random.random()>0.5) - assert np.all(Laguerre.microstructure == ms) + ms = np.random.randint(N_seeds) + weights[ms] = np.random.random() + Laguerre = Geom.from_Laguerre_tessellation(grid,size,seeds,weights,periodic=np.random.random()>0.5) + assert np.all(Laguerre.material == ms) + @pytest.mark.parametrize('approach',['Laguerre','Voronoi']) def test_tessellate_bicrystal(self,approach): grid = np.random.randint(5,10,3)*2 size = grid.astype(np.float) seeds = np.vstack((size*np.array([0.5,0.25,0.5]),size*np.array([0.5,0.75,0.5]))) - microstructure = np.ones(grid) - microstructure[:,grid[1]//2:,:] = 2 + material = np.zeros(grid) + material[:,grid[1]//2:,:] = 1 if approach == 'Laguerre': - geom = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(2),np.random.random()>0.5) + geom = Geom.from_Laguerre_tessellation(grid,size,seeds,np.ones(2),periodic=np.random.random()>0.5) elif approach == 'Voronoi': - geom = Geom.from_Voronoi_tessellation(grid,size,seeds, np.random.random()>0.5) - assert np.all(geom.microstructure == microstructure) + geom = Geom.from_Voronoi_tessellation(grid,size,seeds, periodic=np.random.random()>0.5) + assert np.all(geom.material == material) + + + @pytest.mark.parametrize('surface',['Schwarz P', + 'Double Primitive', + 'Schwarz D', + 'Complementary D', + 'Double Diamond', + 'Dprime', + 'Gyroid', + 'Gprime', + 'Karcher K', + 'Lidinoid', + 'Neovius', + 'Fisher-Koch S', + ]) + def test_minimal_surface_basic_properties(self,surface): + grid = np.random.randint(60,100,3) + size = np.ones(3)+np.random.rand(3) + threshold = 2*np.random.rand()-1. + periods = np.random.randint(2)+1 + materials = np.random.randint(0,40,2) + geom = Geom.from_minimal_surface(grid,size,surface,threshold,periods,materials) + assert set(geom.material.flatten()) | set(materials) == set(materials) \ + and (geom.size == size).all() and (geom.grid == grid).all() + + @pytest.mark.parametrize('surface,threshold',[('Schwarz P',0), + ('Double Primitive',-1./6.), + ('Schwarz D',0), + ('Complementary D',0), + ('Double Diamond',-0.133), + ('Dprime',-0.0395), + ('Gyroid',0), + ('Gprime',0.22913), + ('Karcher K',0.17045), + ('Lidinoid',0.14455), + ('Neovius',0), + ('Fisher-Koch S',0), + ]) + def test_minimal_surface_volume(self,surface,threshold): + grid = np.ones(3,dtype=int)*64 + geom = Geom.from_minimal_surface(grid,np.ones(3),surface,threshold) + assert np.isclose(np.count_nonzero(geom.material==1)/np.prod(geom.grid),.5,rtol=1e-3) + + + def test_from_table(self): + grid = np.random.randint(60,100,3) + size = np.ones(3)+np.random.rand(3) + coords = grid_filters.cell_coord0(grid,size).reshape(-1,3,order='F') + z=np.ones(grid.prod()) + z[grid[:2].prod()*int(grid[2]/2):]=0 + t = Table(np.column_stack((coords,z)),{'coords':3,'z':1}) + g = Geom.from_table(t,'coords',['1_coords','z']) + assert g.N_materials == g.grid[0]*2 and (g.material[:,:,-1]-g.material[:,:,0] == grid[0]).all() diff --git a/python/tests/test_Lattice.py b/python/tests/test_Lattice.py new file mode 100644 index 000000000..93fc56445 --- /dev/null +++ b/python/tests/test_Lattice.py @@ -0,0 +1,157 @@ +import random + +import pytest +import numpy as np + +from damask import Rotation +from damask import Symmetry + +def in_FZ(system,rho): + """Non-vectorized version of 'in_FZ'.""" + rho_abs = abs(rho) + + if system == 'cubic': + return np.sqrt(2.0)-1.0 >= rho_abs[0] \ + and np.sqrt(2.0)-1.0 >= rho_abs[1] \ + and np.sqrt(2.0)-1.0 >= rho_abs[2] \ + and 1.0 >= rho_abs[0] + rho_abs[1] + rho_abs[2] + elif system == 'hexagonal': + return 1.0 >= rho_abs[0] and 1.0 >= rho_abs[1] and 1.0 >= rho_abs[2] \ + and 2.0 >= np.sqrt(3)*rho_abs[0] + rho_abs[1] \ + and 2.0 >= np.sqrt(3)*rho_abs[1] + rho_abs[0] \ + and 2.0 >= np.sqrt(3) + rho_abs[2] + elif system == 'tetragonal': + return 1.0 >= rho_abs[0] and 1.0 >= rho_abs[1] \ + and np.sqrt(2.0) >= rho_abs[0] + rho_abs[1] \ + and np.sqrt(2.0) >= rho_abs[2] + 1.0 + elif system == 'orthorhombic': + return 1.0 >= rho_abs[0] and 1.0 >= rho_abs[1] and 1.0 >= rho_abs[2] + else: + return np.all(np.isfinite(rho_abs)) + + +def in_disorientation_SST(system,rho): + """Non-vectorized version of 'in_Disorientation_SST'.""" + epsilon = 0.0 + if system == 'cubic': + return rho[0] >= rho[1]+epsilon and rho[1] >= rho[2]+epsilon and rho[2] >= epsilon + elif system == 'hexagonal': + return rho[0] >= np.sqrt(3)*(rho[1]-epsilon) and rho[1] >= epsilon and rho[2] >= epsilon + elif system == 'tetragonal': + return rho[0] >= rho[1]-epsilon and rho[1] >= epsilon and rho[2] >= epsilon + elif system == 'orthorhombic': + return rho[0] >= epsilon and rho[1] >= epsilon and rho[2] >= epsilon + else: + return True + + +def in_SST(system,vector,proper = False): + """Non-vectorized version of 'in_SST'.""" + if system == 'cubic': + basis = {'improper':np.array([ [-1. , 0. , 1. ], + [ np.sqrt(2.) , -np.sqrt(2.) , 0. ], + [ 0. , np.sqrt(3.) , 0. ] ]), + 'proper':np.array([ [ 0. , -1. , 1. ], + [-np.sqrt(2.) , np.sqrt(2.) , 0. ], + [ np.sqrt(3.) , 0. , 0. ] ]), + } + elif system == 'hexagonal': + basis = {'improper':np.array([ [ 0. , 0. , 1. ], + [ 1. , -np.sqrt(3.) , 0. ], + [ 0. , 2. , 0. ] ]), + 'proper':np.array([ [ 0. , 0. , 1. ], + [-1. , np.sqrt(3.) , 0. ], + [ np.sqrt(3.) , -1. , 0. ] ]), + } + elif system == 'tetragonal': + basis = {'improper':np.array([ [ 0. , 0. , 1. ], + [ 1. , -1. , 0. ], + [ 0. , np.sqrt(2.) , 0. ] ]), + 'proper':np.array([ [ 0. , 0. , 1. ], + [-1. , 1. , 0. ], + [ np.sqrt(2.) , 0. , 0. ] ]), + } + elif system == 'orthorhombic': + basis = {'improper':np.array([ [ 0., 0., 1.], + [ 1., 0., 0.], + [ 0., 1., 0.] ]), + 'proper':np.array([ [ 0., 0., 1.], + [-1., 0., 0.], + [ 0., 1., 0.] ]), + } + else: + return True + + v = np.array(vector,dtype=float) + if proper: + theComponents = np.around(np.dot(basis['improper'],v),12) + inSST = np.all(theComponents >= 0.0) + if not inSST: + theComponents = np.around(np.dot(basis['proper'],v),12) + inSST = np.all(theComponents >= 0.0) + else: + v[2] = abs(v[2]) + theComponents = np.around(np.dot(basis['improper'],v),12) + inSST = np.all(theComponents >= 0.0) + + return inSST + + +@pytest.fixture +def set_of_rodrigues(set_of_quaternions): + return Rotation(set_of_quaternions).as_Rodrigues(vector=True)[:200] + +class TestSymmetry: + + @pytest.mark.parametrize('system',Symmetry.crystal_systems) + def test_in_FZ_vectorize(self,set_of_rodrigues,system): + result = Symmetry(system).in_FZ(set_of_rodrigues.reshape(50,4,3)).reshape(200) + for i,r in enumerate(result): + assert r == in_FZ(system,set_of_rodrigues[i]) + + @pytest.mark.parametrize('system',Symmetry.crystal_systems) + def test_in_disorientation_SST_vectorize(self,set_of_rodrigues,system): + result = Symmetry(system).in_disorientation_SST(set_of_rodrigues.reshape(50,4,3)).reshape(200) + for i,r in enumerate(result): + assert r == in_disorientation_SST(system,set_of_rodrigues[i]) + + @pytest.mark.parametrize('proper',[True,False]) + @pytest.mark.parametrize('system',Symmetry.crystal_systems) + def test_in_SST_vectorize(self,system,proper): + vecs = np.random.rand(20,4,3) + result = Symmetry(system).in_SST(vecs,proper).reshape(20*4) + for i,r in enumerate(result): + assert r == in_SST(system,vecs.reshape(20*4,3)[i],proper) + + @pytest.mark.parametrize('invalid_symmetry',['fcc','bcc','hello']) + def test_invalid_symmetry(self,invalid_symmetry): + with pytest.raises(KeyError): + s = Symmetry(invalid_symmetry) # noqa + + def test_equal(self): + symmetry = random.choice(Symmetry.crystal_systems) + print(symmetry) + assert Symmetry(symmetry) == Symmetry(symmetry) + + def test_not_equal(self): + symmetries = random.sample(Symmetry.crystal_systems,k=2) + assert Symmetry(symmetries[0]) != Symmetry(symmetries[1]) + + @pytest.mark.parametrize('system',Symmetry.crystal_systems) + def test_in_FZ(self,system): + assert Symmetry(system).in_FZ(np.zeros(3)) + + @pytest.mark.parametrize('system',Symmetry.crystal_systems) + def test_in_disorientation_SST(self,system): + assert Symmetry(system).in_disorientation_SST(np.zeros(3)) + + @pytest.mark.parametrize('system',Symmetry.crystal_systems) + @pytest.mark.parametrize('proper',[True,False]) + def test_in_SST(self,system,proper): + assert Symmetry(system).in_SST(np.zeros(3),proper) + + @pytest.mark.parametrize('function',['in_FZ','in_disorientation_SST','in_SST']) + def test_invalid_argument(self,function): + s = Symmetry() # noqa + with pytest.raises(ValueError): + eval(f's.{function}(np.ones(4))') diff --git a/python/tests/test_Orientation.py b/python/tests/test_Orientation.py index 08f060887..669f73e91 100644 --- a/python/tests/test_Orientation.py +++ b/python/tests/test_Orientation.py @@ -4,62 +4,128 @@ from itertools import permutations import pytest import numpy as np -import damask +from damask import Table from damask import Rotation from damask import Orientation from damask import Lattice - + n = 1000 -@pytest.fixture -def default(): - """A set of n random rotations.""" - return [Rotation.fromRandom() for r in range(n)] +def IPF_color(orientation,direction): + """TSL color of inverse pole figure for given axis (non-vectorized).""" + for o in orientation.equivalent: + pole = o.rotation@direction + inSST,color = orientation.lattice.in_SST(pole,color=True) + if inSST: break + + return color + +def inverse_pole(orientation,axis,proper=False,SST=True): + if SST: + for eq in orientation.equivalent: + pole = eq.rotation @ axis/np.linalg.norm(axis) + if orientation.lattice.in_SST(pole,proper=proper): + return pole + else: + return orientation.rotation @ axis/np.linalg.norm(axis) + @pytest.fixture def reference_dir(reference_dir_base): """Directory containing reference results.""" - return os.path.join(reference_dir_base,'Rotation') + return reference_dir_base/'Rotation' class TestOrientation: + @pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch']) + @pytest.mark.parametrize('lattice',['fcc','bcc']) + def test_relationship_vectorize(self,set_of_quaternions,lattice,model): + result = Orientation(set_of_quaternions[:200].reshape(50,4,4),lattice).related(model) + ref_qu = result.rotation.quaternion.reshape(-1,200,4) + for i in range(200): + single = Orientation(set_of_quaternions[i],lattice).related(model).rotation.quaternion + assert np.allclose(ref_qu[:,i,:],single) + + @pytest.mark.parametrize('lattice',Lattice.lattices) + def test_IPF_vectorize(self,set_of_quaternions,lattice): + direction = np.random.random(3)*2.0-1 + oris = Orientation(Rotation(set_of_quaternions),lattice)[:200] + for i,color in enumerate(oris.IPF_color(direction)): + assert np.allclose(color,IPF_color(oris[i],direction)) + + @pytest.mark.parametrize('SST',[False,True]) + @pytest.mark.parametrize('proper',[True,False]) + @pytest.mark.parametrize('lattice',Lattice.lattices) + def test_inverse_pole_vectorize(self,set_of_quaternions,lattice,SST,proper): + axis = np.random.random(3)*2.0-1 + oris = Orientation(Rotation(set_of_quaternions),lattice)[:200] + for i,pole in enumerate(oris.inverse_pole(axis,SST=SST)): + assert np.allclose(pole,inverse_pole(oris[i],axis,SST=SST)) + @pytest.mark.parametrize('color',[{'label':'red', 'RGB':[1,0,0],'direction':[0,0,1]}, {'label':'green','RGB':[0,1,0],'direction':[0,1,1]}, {'label':'blue', 'RGB':[0,0,1],'direction':[1,1,1]}]) @pytest.mark.parametrize('lattice',['fcc','bcc']) - def test_IPF_cubic(self,default,color,lattice): - cube = damask.Orientation(damask.Rotation(),lattice) + def test_IPF_cubic(self,color,lattice): + cube = Orientation(Rotation(),lattice) for direction in set(permutations(np.array(color['direction']))): - assert np.allclose(cube.IPFcolor(direction),np.array(color['RGB'])) + assert np.allclose(cube.IPF_color(np.array(direction)),np.array(color['RGB'])) @pytest.mark.parametrize('lattice',Lattice.lattices) - def test_IPF(self,lattice): + def test_IPF_equivalent(self,set_of_quaternions,lattice): direction = np.random.random(3)*2.0-1 - for rot in [Rotation.fromRandom() for r in range(n//100)]: - R = damask.Orientation(rot,lattice) - color = R.IPFcolor(direction) - for equivalent in R.equivalentOrientations(): - assert np.allclose(color,R.IPFcolor(direction)) + for ori in Orientation(Rotation(set_of_quaternions),lattice)[:200]: + color = ori.IPF_color(direction) + for equivalent in ori.equivalent: + assert np.allclose(color,equivalent.IPF_color(direction)) + + @pytest.mark.parametrize('lattice',Lattice.lattices) + def test_reduced(self,set_of_quaternions,lattice): + oris = Orientation(Rotation(set_of_quaternions),lattice) + reduced = oris.reduced + assert np.all(reduced.in_FZ) and oris.rotation.shape == reduced.rotation.shape + @pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch']) @pytest.mark.parametrize('lattice',['fcc','bcc']) def test_relationship_forward_backward(self,model,lattice): - ori = Orientation(Rotation.fromRandom(),lattice) - for i,r in enumerate(ori.relatedOrientations(model)): - ori2 = r.relatedOrientations(model)[i] + ori = Orientation(Rotation.from_random(),lattice) + for i,r in enumerate(ori.related(model)): + ori2 = r.related(model)[i] misorientation = ori.rotation.misorientation(ori2.rotation) - assert misorientation.asAxisAngle(degrees=True)[3]<1.0e-5 + assert misorientation.as_axis_angle(degrees=True)[3]<1.0e-5 @pytest.mark.parametrize('model',['Bain','KS','GT','GT_prime','NW','Pitsch']) @pytest.mark.parametrize('lattice',['fcc','bcc']) def test_relationship_reference(self,update,reference_dir,model,lattice): - reference = os.path.join(reference_dir,'{}_{}.txt'.format(lattice,model)) + reference = os.path.join(reference_dir,f'{lattice}_{model}.txt') ori = Orientation(Rotation(),lattice) - eu = np.array([o.rotation.asEulers(degrees=True) for o in ori.relatedOrientations(model)]) - if update: + eu = np.array([o.rotation.as_Eulers(degrees=True) for o in ori.related(model)]) + if update: coords = np.array([(1,i+1) for i,x in enumerate(eu)]) - table = damask.Table(eu,{'Eulers':(3,)}) - table.add('pos',coords) - table.to_ASCII(reference) - assert np.allclose(eu,damask.Table.from_ASCII(reference).get('Eulers')) + table = Table(eu,{'Eulers':(3,)}) + table = table.add('pos',coords) + table.save(reference) + assert np.allclose(eu,Table.load(reference).get('Eulers')) + + @pytest.mark.parametrize('lattice',Lattice.lattices) + def test_disorientation360(self,lattice): + R_1 = Orientation(Rotation(),lattice) + R_2 = Orientation(Rotation.from_Eulers([360,0,0],degrees=True),lattice) + assert np.allclose(R_1.disorientation(R_2).as_matrix(),np.eye(3)) + + @pytest.mark.parametrize('lattice',Lattice.lattices) + @pytest.mark.parametrize('angle',[10,20,30,40]) + def test_average(self,angle,lattice): + R_1 = Orientation(Rotation.from_axis_angle([0,0,1,10],degrees=True),lattice) + R_2 = Orientation(Rotation.from_axis_angle([0,0,1,angle],degrees=True),lattice) + avg_angle = R_1.average(R_2).rotation.as_axis_angle(degrees=True,pair=True)[1] + assert np.isclose(avg_angle,10+(angle-10)/2.) + + @pytest.mark.parametrize('lattice',Lattice.lattices) + def test_from_average(self,lattice): + R_1 = Orientation(Rotation.from_random(),lattice) + eqs = [r for r in R_1.equivalent] + R_2 = Orientation.from_average(eqs) + assert np.allclose(R_1.rotation.quaternion,R_2.rotation.quaternion) diff --git a/python/tests/test_Result.py b/python/tests/test_Result.py index c117f33f7..5ef17cd26 100644 --- a/python/tests/test_Result.py +++ b/python/tests/test_Result.py @@ -1,25 +1,39 @@ +import time import shutil import os +import sys +from datetime import datetime import pytest import numpy as np +import h5py from damask import Result +from damask import Rotation +from damask import Orientation from damask import mechanics +from damask import grid_filters @pytest.fixture def default(tmp_path,reference_dir): """Small Result file in temp location for modification.""" fname = '12grains6x7x8_tensionY.hdf5' - shutil.copy(os.path.join(reference_dir,fname),tmp_path) - f = Result(os.path.join(tmp_path,fname)) - f.set_by_time(20.0,20.0) + shutil.copy(reference_dir/fname,tmp_path) + f = Result(tmp_path/fname) + f.pick('times',20.0) return f +@pytest.fixture +def single_phase(tmp_path,reference_dir): + """Single phase Result file in temp location for modification.""" + fname = '6grains6x7x8_single_phase_tensionY.hdf5' + shutil.copy(reference_dir/fname,tmp_path) + return Result(tmp_path/fname) + @pytest.fixture def reference_dir(reference_dir_base): """Directory containing reference results.""" - return os.path.join(reference_dir_base,'Result') + return reference_dir_base/'Result' class TestResult: @@ -28,12 +42,56 @@ class TestResult: print(default) - def test_time_increments(self,default): - shape = default.read_dataset(default.get_dataset_location('F'),0).shape - default.set_by_time(0.0,20.0) - for i in default.iterate('increments'): - assert shape == default.read_dataset(default.get_dataset_location('F'),0).shape + def test_pick_all(self,default): + default.pick('increments',True) + a = default.get_dataset_location('F') + default.pick('increments','*') + b = default.get_dataset_location('F') + default.pick('increments',default.incs_in_range(0,np.iinfo(int).max)) + c = default.get_dataset_location('F') + default.pick('times',True) + d = default.get_dataset_location('F') + default.pick('times','*') + e = default.get_dataset_location('F') + default.pick('times',default.times_in_range(0.0,np.inf)) + f = default.get_dataset_location('F') + assert a == b == c == d == e ==f + + @pytest.mark.parametrize('what',['increments','times','constituents']) # ToDo: discuss materialpoints + def test_pick_none(self,default,what): + default.pick(what,False) + a = default.get_dataset_location('F') + default.pick(what,[]) + b = default.get_dataset_location('F') + + assert a == b == [] + + @pytest.mark.parametrize('what',['increments','times','constituents']) # ToDo: discuss materialpoints + def test_pick_more(self,default,what): + default.pick(what,False) + default.pick_more(what,'*') + a = default.get_dataset_location('F') + + default.pick(what,True) + b = default.get_dataset_location('F') + + assert a == b + + @pytest.mark.parametrize('what',['increments','times','constituents']) # ToDo: discuss materialpoints + def test_pick_less(self,default,what): + default.pick(what,True) + default.pick_less(what,'*') + a = default.get_dataset_location('F') + + default.pick(what,False) + b = default.get_dataset_location('F') + + assert a == b == [] + + def test_pick_invalid(self,default): + with pytest.raises(AttributeError): + default.pick('invalid',True) def test_add_absolute(self,default): default.add_absolute('Fe') @@ -43,8 +101,19 @@ class TestResult: in_file = default.read_dataset(loc['|Fe|'],0) assert np.allclose(in_memory,in_file) - def test_add_calculation(self,default): - default.add_calculation('x','2.0*np.abs(#F#)-1.0','-','my notes') + @pytest.mark.parametrize('mode',['direct','function']) + def test_add_calculation(self,default,tmp_path,mode): + + if mode == 'direct': + default.add_calculation('x','2.0*np.abs(#F#)-1.0','-','my notes') + else: + with open(tmp_path/'f.py','w') as f: + f.write("import numpy as np\ndef my_func(field):\n return 2.0*np.abs(field)-1.0\n") + sys.path.insert(0,str(tmp_path)) + import f + default.enable_user_function(f.my_func) + default.add_calculation('x','my_func(#F#)','-','my notes') + loc = {'F': default.get_dataset_location('F'), 'x': default.get_dataset_location('x')} in_memory = 2.0*np.abs(default.read_dataset(loc['F'],0))-1.0 @@ -77,24 +146,40 @@ class TestResult: in_file = default.read_dataset(loc['s_P'],0) assert np.allclose(in_memory,in_file) - def test_add_eigenvalues(self,default): + @pytest.mark.parametrize('eigenvalue,function',[('max',np.amax),('min',np.amin)]) + def test_add_eigenvalue(self,default,eigenvalue,function): default.add_Cauchy('P','F') - default.add_eigenvalues('sigma') - loc = {'sigma' :default.get_dataset_location('sigma'), - 'lambda(sigma)':default.get_dataset_location('lambda(sigma)')} - in_memory = mechanics.eigenvalues(default.read_dataset(loc['sigma'],0)) - in_file = default.read_dataset(loc['lambda(sigma)'],0) + default.add_eigenvalue('sigma',eigenvalue) + loc = {'sigma' :default.get_dataset_location('sigma'), + 'lambda':default.get_dataset_location(f'lambda_{eigenvalue}(sigma)')} + in_memory = function(mechanics.eigenvalues(default.read_dataset(loc['sigma'],0)),axis=1,keepdims=True) + in_file = default.read_dataset(loc['lambda'],0) assert np.allclose(in_memory,in_file) - def test_add_eigenvectors(self,default): + @pytest.mark.parametrize('eigenvalue,idx',[('max',2),('mid',1),('min',0)]) + def test_add_eigenvector(self,default,eigenvalue,idx): default.add_Cauchy('P','F') - default.add_eigenvectors('sigma') + default.add_eigenvector('sigma',eigenvalue) loc = {'sigma' :default.get_dataset_location('sigma'), - 'v(sigma)':default.get_dataset_location('v(sigma)')} - in_memory = mechanics.eigenvectors(default.read_dataset(loc['sigma'],0)) + 'v(sigma)':default.get_dataset_location(f'v_{eigenvalue}(sigma)')} + in_memory = mechanics.eigenvectors(default.read_dataset(loc['sigma'],0))[:,idx] in_file = default.read_dataset(loc['v(sigma)'],0) assert np.allclose(in_memory,in_file) + @pytest.mark.parametrize('d',[[1,0,0],[0,1,0],[0,0,1]]) + def test_add_IPF_color(self,default,d): + default.add_IPF_color('orientation',d) + loc = {'orientation': default.get_dataset_location('orientation'), + 'color': default.get_dataset_location('IPFcolor_[{} {} {}]'.format(*d))} + qu = default.read_dataset(loc['orientation']).view(np.double).reshape(-1,4) + crystal_structure = default.get_crystal_structure() + in_memory = np.empty((qu.shape[0],3),np.uint8) + for i,q in enumerate(qu): + o = Orientation(q,crystal_structure).reduced + in_memory[i] = np.uint8(o.IPF_color(np.array(d))*255) + in_file = default.read_dataset(loc['color']) + assert np.allclose(in_memory,in_file) + def test_add_maximum_shear(self,default): default.add_Cauchy('P','F') default.add_maximum_shear('sigma') @@ -108,7 +193,7 @@ class TestResult: t = ['V','U'][np.random.randint(0,2)] m = np.random.random()*2.0 - 1.0 default.add_strain_tensor('F',t,m) - label = 'epsilon_{}^{}(F)'.format(t,m) + label = f'epsilon_{t}^{m}(F)' default.add_Mises(label) loc = {label :default.get_dataset_location(label), label+'_vM':default.get_dataset_location(label+'_vM')} @@ -143,6 +228,20 @@ class TestResult: in_file = default.read_dataset(loc['S'],0) assert np.allclose(in_memory,in_file) + @pytest.mark.parametrize('polar',[True,False]) + def test_add_pole(self,default,polar): + pole = np.array([1.,0.,0.]) + default.add_pole('orientation',pole,polar) + loc = {'orientation': default.get_dataset_location('orientation'), + 'pole': default.get_dataset_location('p^{}_[1 0 0)'.format(u'rφ' if polar else 'xy'))} + rot = Rotation(default.read_dataset(loc['orientation']).view(np.double)) + rotated_pole = rot * np.broadcast_to(pole,rot.shape+(3,)) + xy = rotated_pole[:,0:2]/(1.+abs(pole[2])) + in_memory = xy if not polar else \ + np.block([np.sqrt(xy[:,0:1]*xy[:,0:1]+xy[:,1:2]*xy[:,1:2]),np.arctan2(xy[:,1:2],xy[:,0:1])]) + in_file = default.read_dataset(loc['pole']) + assert np.allclose(in_memory,in_file) + def test_add_rotational_part(self,default): default.add_rotational_part('F') loc = {'F': default.get_dataset_location('F'), @@ -163,7 +262,7 @@ class TestResult: t = ['V','U'][np.random.randint(0,2)] m = np.random.random()*2.0 - 1.0 default.add_strain_tensor('F',t,m) - label = 'epsilon_{}^{}(F)'.format(t,m) + label = f'epsilon_{t}^{m}(F)' loc = {'F': default.get_dataset_location('F'), label: default.get_dataset_location(label)} in_memory = mechanics.strain_tensor(default.read_dataset(loc['F'],0),t,m) @@ -185,3 +284,68 @@ class TestResult: in_memory = mechanics.left_stretch(default.read_dataset(loc['F'],0)) in_file = default.read_dataset(loc['V(F)'],0) assert np.allclose(in_memory,in_file) + + def test_add_invalid(self,default): + with pytest.raises(TypeError): + default.add_calculation('#invalid#*2') + + @pytest.mark.parametrize('overwrite',['off','on']) + def test_add_overwrite(self,default,overwrite): + default.pick('times',default.times_in_range(0,np.inf)[-1]) + + default.add_Cauchy() + loc = default.get_dataset_location('sigma') + with h5py.File(default.fname,'r') as f: + created_first = f[loc[0]].attrs['Created'].decode() + created_first = datetime.strptime(created_first,'%Y-%m-%d %H:%M:%S%z') + + if overwrite == 'on': + default.allow_modification() + else: + default.disallow_modification() + + time.sleep(2.) + default.add_calculation('sigma','#sigma#*0.0+311.','not the Cauchy stress') + with h5py.File(default.fname,'r') as f: + created_second = f[loc[0]].attrs['Created'].decode() + created_second = datetime.strptime(created_second,'%Y-%m-%d %H:%M:%S%z') + if overwrite == 'on': + assert created_first < created_second and np.allclose(default.read_dataset(loc),311.) + else: + assert created_first == created_second and not np.allclose(default.read_dataset(loc),311.) + + @pytest.mark.parametrize('allowed',['off','on']) + def test_rename(self,default,allowed): + if allowed == 'on': + F = default.read_dataset(default.get_dataset_location('F')) + default.allow_modification() + default.rename('F','new_name') + assert np.all(F == default.read_dataset(default.get_dataset_location('new_name'))) + default.disallow_modification() + + with pytest.raises(PermissionError): + default.rename('P','another_new_name') + + @pytest.mark.parametrize('mode',['cell','node']) + def test_coordinates(self,default,mode): + if mode == 'cell': + a = grid_filters.cell_coord0(default.grid,default.size,default.origin) + b = default.cell_coordinates.reshape(tuple(default.grid)+(3,),order='F') + elif mode == 'node': + a = grid_filters.node_coord0(default.grid,default.size,default.origin) + b = default.node_coordinates.reshape(tuple(default.grid+1)+(3,),order='F') + assert np.allclose(a,b) + + @pytest.mark.parametrize('output',['F',[],['F','P']]) + def test_vtk(self,tmp_path,default,output): + os.chdir(tmp_path) + default.save_vtk(output) + + @pytest.mark.parametrize('mode',['point','cell']) + def test_vtk_mode(self,tmp_path,single_phase,mode): + os.chdir(tmp_path) + single_phase.save_vtk(mode=mode) + + def test_XDMF(self,tmp_path,single_phase): + os.chdir(tmp_path) + single_phase.save_XDMF() diff --git a/python/tests/test_Rotation.py b/python/tests/test_Rotation.py index b7442035f..d70d650a0 100644 --- a/python/tests/test_Rotation.py +++ b/python/tests/test_Rotation.py @@ -1,292 +1,823 @@ -import os - import pytest import numpy as np +from scipy import stats from damask import Rotation +from damask import Table +from damask import _rotation +from damask import grid_filters -n = 1100 +n = 1000 atol=1.e-4 -scatter=1.e-2 - -@pytest.fixture -def default(): - """A set of n random rotations.""" - specials = np.array( - [np.array([ 1.0, 0.0, 0.0, 0.0]), - #----------------------------------------------- - np.array([0.0, 1.0, 0.0, 0.0]), - np.array([0.0, 0.0, 1.0, 0.0]), - np.array([0.0, 0.0, 0.0, 1.0]), - np.array([0.0,-1.0, 0.0, 0.0]), - np.array([0.0, 0.0,-1.0, 0.0]), - np.array([0.0, 0.0, 0.0,-1.0]), - #----------------------------------------------- - np.array([1.0, 1.0, 0.0, 0.0])/np.sqrt(2.), - np.array([1.0, 0.0, 1.0, 0.0])/np.sqrt(2.), - np.array([1.0, 0.0, 0.0, 1.0])/np.sqrt(2.), - np.array([0.0, 1.0, 1.0, 0.0])/np.sqrt(2.), - np.array([0.0, 1.0, 0.0, 1.0])/np.sqrt(2.), - np.array([0.0, 0.0, 1.0, 1.0])/np.sqrt(2.), - #----------------------------------------------- - np.array([1.0,-1.0, 0.0, 0.0])/np.sqrt(2.), - np.array([1.0, 0.0,-1.0, 0.0])/np.sqrt(2.), - np.array([1.0, 0.0, 0.0,-1.0])/np.sqrt(2.), - np.array([0.0, 1.0,-1.0, 0.0])/np.sqrt(2.), - np.array([0.0, 1.0, 0.0,-1.0])/np.sqrt(2.), - np.array([0.0, 0.0, 1.0,-1.0])/np.sqrt(2.), - #----------------------------------------------- - np.array([0.0, 1.0,-1.0, 0.0])/np.sqrt(2.), - np.array([0.0, 1.0, 0.0,-1.0])/np.sqrt(2.), - np.array([0.0, 0.0, 1.0,-1.0])/np.sqrt(2.), - #----------------------------------------------- - np.array([0.0,-1.0,-1.0, 0.0])/np.sqrt(2.), - np.array([0.0,-1.0, 0.0,-1.0])/np.sqrt(2.), - np.array([0.0, 0.0,-1.0,-1.0])/np.sqrt(2.), - #----------------------------------------------- - np.array([1.0, 1.0, 1.0, 0.0])/np.sqrt(3.), - np.array([1.0, 1.0, 0.0, 1.0])/np.sqrt(3.), - np.array([1.0, 0.0, 1.0, 1.0])/np.sqrt(3.), - np.array([1.0,-1.0, 1.0, 0.0])/np.sqrt(3.), - np.array([1.0,-1.0, 0.0, 1.0])/np.sqrt(3.), - np.array([1.0, 0.0,-1.0, 1.0])/np.sqrt(3.), - np.array([1.0, 1.0,-1.0, 0.0])/np.sqrt(3.), - np.array([1.0, 1.0, 0.0,-1.0])/np.sqrt(3.), - np.array([1.0, 0.0, 1.0,-1.0])/np.sqrt(3.), - np.array([1.0,-1.0,-1.0, 0.0])/np.sqrt(3.), - np.array([1.0,-1.0, 0.0,-1.0])/np.sqrt(3.), - np.array([1.0, 0.0,-1.0,-1.0])/np.sqrt(3.), - #----------------------------------------------- - np.array([0.0, 1.0, 1.0, 1.0])/np.sqrt(3.), - np.array([0.0, 1.0,-1.0, 1.0])/np.sqrt(3.), - np.array([0.0, 1.0, 1.0,-1.0])/np.sqrt(3.), - np.array([0.0,-1.0, 1.0, 1.0])/np.sqrt(3.), - np.array([0.0,-1.0,-1.0, 1.0])/np.sqrt(3.), - np.array([0.0,-1.0, 1.0,-1.0])/np.sqrt(3.), - np.array([0.0,-1.0,-1.0,-1.0])/np.sqrt(3.), - #----------------------------------------------- - np.array([1.0, 1.0, 1.0, 1.0])/2., - np.array([1.0,-1.0, 1.0, 1.0])/2., - np.array([1.0, 1.0,-1.0, 1.0])/2., - np.array([1.0, 1.0, 1.0,-1.0])/2., - np.array([1.0,-1.0,-1.0, 1.0])/2., - np.array([1.0,-1.0, 1.0,-1.0])/2., - np.array([1.0, 1.0,-1.0,-1.0])/2., - np.array([1.0,-1.0,-1.0,-1.0])/2., - ]) - specials_scatter = specials + np.broadcast_to(np.random.rand(4)*scatter,specials.shape) - specials_scatter /= np.linalg.norm(specials_scatter,axis=1).reshape(-1,1) - specials_scatter[specials_scatter[:,0]<0]*=-1 - - return [Rotation.from_quaternion(s) for s in specials] + \ - [Rotation.from_quaternion(s) for s in specials_scatter] + \ - [Rotation.from_random() for _ in range(n-len(specials)-len(specials_scatter))] @pytest.fixture def reference_dir(reference_dir_base): """Directory containing reference results.""" - return os.path.join(reference_dir_base,'Rotation') + return reference_dir_base/'Rotation' + +@pytest.fixture +def set_of_rotations(set_of_quaternions): + return [Rotation.from_quaternion(s) for s in set_of_quaternions] + + +#################################################################################################### +# Code below available according to the following conditions +#################################################################################################### +# Copyright (c) 2017-2019, Martin Diehl/Max-Planck-Institut für Eisenforschung GmbH +# Copyright (c) 2013-2014, Marc De Graef/Carnegie Mellon University +# All rights reserved. +# +# Redistribution and use in source and binary forms, with or without modification, are +# permitted provided that the following conditions are met: +# +# - Redistributions of source code must retain the above copyright notice, this list +# of conditions and the following disclaimer. +# - Redistributions in binary form must reproduce the above copyright notice, this +# list of conditions and the following disclaimer in the documentation and/or +# other materials provided with the distribution. +# - Neither the names of Marc De Graef, Carnegie Mellon University nor the names +# of its contributors may be used to endorse or promote products derived from +# this software without specific prior written permission. +# +# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +# ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE +# LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +# DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +# SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +# OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE +# USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +#################################################################################################### +_P = _rotation._P + +# parameters for conversion from/to cubochoric +_sc = _rotation._sc +_beta = _rotation._beta +_R1 = _rotation._R1 + +def iszero(a): + return np.isclose(a,0.0,atol=1.0e-12,rtol=0.0) + +#---------- Quaternion ---------- +def qu2om(qu): + """Quaternion to rotation matrix.""" + qq = qu[0]**2-(qu[1]**2 + qu[2]**2 + qu[3]**2) + om = np.diag(qq + 2.0*np.array([qu[1],qu[2],qu[3]])**2) + + om[0,1] = 2.0*(qu[2]*qu[1]+qu[0]*qu[3]) + om[1,0] = 2.0*(qu[1]*qu[2]-qu[0]*qu[3]) + om[1,2] = 2.0*(qu[3]*qu[2]+qu[0]*qu[1]) + om[2,1] = 2.0*(qu[2]*qu[3]-qu[0]*qu[1]) + om[2,0] = 2.0*(qu[1]*qu[3]+qu[0]*qu[2]) + om[0,2] = 2.0*(qu[3]*qu[1]-qu[0]*qu[2]) + return om if _P < 0.0 else np.swapaxes(om,-1,-2) + +def qu2eu(qu): + """Quaternion to Bunge-Euler angles.""" + q03 = qu[0]**2+qu[3]**2 + q12 = qu[1]**2+qu[2]**2 + chi = np.sqrt(q03*q12) + if np.abs(q12) < 1.e-8: + eu = np.array([np.arctan2(-_P*2.0*qu[0]*qu[3],qu[0]**2-qu[3]**2), 0.0, 0.0]) + elif np.abs(q03) < 1.e-8: + eu = np.array([np.arctan2( 2.0*qu[1]*qu[2],qu[1]**2-qu[2]**2), np.pi, 0.0]) + else: + eu = np.array([np.arctan2((-_P*qu[0]*qu[2]+qu[1]*qu[3])*chi, (-_P*qu[0]*qu[1]-qu[2]*qu[3])*chi ), + np.arctan2( 2.0*chi, q03-q12 ), + np.arctan2(( _P*qu[0]*qu[2]+qu[1]*qu[3])*chi, (-_P*qu[0]*qu[1]+qu[2]*qu[3])*chi )]) + # reduce Euler angles to definition range + eu[np.abs(eu)<1.e-6] = 0.0 + eu = np.where(eu<0, (eu+2.0*np.pi)%np.array([2.0*np.pi,np.pi,2.0*np.pi]),eu) + return eu + +def qu2ax(qu): + """ + Quaternion to axis angle pair. + + Modified version of the original formulation, should be numerically more stable + """ + if np.isclose(qu[0],1.,rtol=0.0): # set axis to [001] if the angle is 0/360 + ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) + elif qu[0] > 1.e-8: + s = np.sign(qu[0])/np.sqrt(qu[1]**2+qu[2]**2+qu[3]**2) + omega = 2.0 * np.arccos(np.clip(qu[0],-1.0,1.0)) + ax = ax = np.array([ qu[1]*s, qu[2]*s, qu[3]*s, omega ]) + else: + ax = ax = np.array([ qu[1], qu[2], qu[3], np.pi]) + return ax + +def qu2ro(qu): + """Quaternion to Rodrigues-Frank vector.""" + if iszero(qu[0]): + ro = np.array([qu[1], qu[2], qu[3], np.inf]) + else: + s = np.linalg.norm(qu[1:4]) + ro = np.array([0.0,0.0,_P,0.0] if iszero(s) else \ + [ qu[1]/s, qu[2]/s, qu[3]/s, np.tan(np.arccos(np.clip(qu[0],-1.0,1.0)))]) + return ro + +def qu2ho(qu): + """Quaternion to homochoric vector.""" + omega = 2.0 * np.arccos(np.clip(qu[0],-1.0,1.0)) + if np.abs(omega) < 1.0e-12: + ho = np.zeros(3) + else: + ho = np.array([qu[1], qu[2], qu[3]]) + f = 0.75 * ( omega - np.sin(omega) ) + ho = ho/np.linalg.norm(ho) * f**(1./3.) + return ho + + +#---------- Rotation matrix ---------- +def om2qu(om): + trace = om.trace() + if trace > 0: + s = 0.5 / np.sqrt(trace+ 1.0) + qu = np.array([0.25 / s,( om[2,1] - om[1,2] ) * s,( om[0,2] - om[2,0] ) * s,( om[1,0] - om[0,1] ) * s]) + else: + if ( om[0,0] > om[1,1] and om[0,0] > om[2,2] ): + s = 2.0 * np.sqrt( 1.0 + om[0,0] - om[1,1] - om[2,2]) + qu = np.array([ (om[2,1] - om[1,2]) / s,0.25 * s,(om[0,1] + om[1,0]) / s,(om[0,2] + om[2,0]) / s]) + elif (om[1,1] > om[2,2]): + s = 2.0 * np.sqrt( 1.0 + om[1,1] - om[0,0] - om[2,2]) + qu = np.array([ (om[0,2] - om[2,0]) / s,(om[0,1] + om[1,0]) / s,0.25 * s,(om[1,2] + om[2,1]) / s]) + else: + s = 2.0 * np.sqrt( 1.0 + om[2,2] - om[0,0] - om[1,1] ) + qu = np.array([ (om[1,0] - om[0,1]) / s,(om[0,2] + om[2,0]) / s,(om[1,2] + om[2,1]) / s,0.25 * s]) + if qu[0]<0: qu*=-1 + return qu*np.array([1.,_P,_P,_P]) + +def om2eu(om): + """Rotation matrix to Bunge-Euler angles.""" + if not np.isclose(np.abs(om[2,2]),1.0,0.0): + zeta = 1.0/np.sqrt(1.0-om[2,2]**2) + eu = np.array([np.arctan2(om[2,0]*zeta,-om[2,1]*zeta), + np.arccos(om[2,2]), + np.arctan2(om[0,2]*zeta, om[1,2]*zeta)]) + else: + eu = np.array([np.arctan2( om[0,1],om[0,0]), np.pi*0.5*(1-om[2,2]),0.0]) # following the paper, not the reference implementation + eu[np.abs(eu)<1.e-8] = 0.0 + eu = np.where(eu<0, (eu+2.0*np.pi)%np.array([2.0*np.pi,np.pi,2.0*np.pi]),eu) + return eu + +def om2ax(om): + """Rotation matrix to axis angle pair.""" + ax=np.empty(4) + + # first get the rotation angle + t = 0.5*(om.trace() -1.0) + ax[3] = np.arccos(np.clip(t,-1.0,1.0)) + if np.abs(ax[3])<1.e-8: + ax = np.array([ 0.0, 0.0, 1.0, 0.0]) + else: + w,vr = np.linalg.eig(om) + # next, find the eigenvalue (1,0j) + i = np.where(np.isclose(w,1.0+0.0j))[0][0] + ax[0:3] = np.real(vr[0:3,i]) + diagDelta = -_P*np.array([om[1,2]-om[2,1],om[2,0]-om[0,2],om[0,1]-om[1,0]]) + ax[0:3] = np.where(np.abs(diagDelta)<1e-12, ax[0:3],np.abs(ax[0:3])*np.sign(diagDelta)) + return ax + +#---------- Bunge-Euler angles ---------- +def eu2qu(eu): + """Bunge-Euler angles to quaternion.""" + ee = 0.5*eu + cPhi = np.cos(ee[1]) + sPhi = np.sin(ee[1]) + qu = np.array([ cPhi*np.cos(ee[0]+ee[2]), + -_P*sPhi*np.cos(ee[0]-ee[2]), + -_P*sPhi*np.sin(ee[0]-ee[2]), + -_P*cPhi*np.sin(ee[0]+ee[2]) ]) + if qu[0] < 0.0: qu*=-1 + return qu + +def eu2om(eu): + """Bunge-Euler angles to rotation matrix.""" + c = np.cos(eu) + s = np.sin(eu) + + om = np.array([[+c[0]*c[2]-s[0]*s[2]*c[1], +s[0]*c[2]+c[0]*s[2]*c[1], +s[2]*s[1]], + [-c[0]*s[2]-s[0]*c[2]*c[1], -s[0]*s[2]+c[0]*c[2]*c[1], +c[2]*s[1]], + [+s[0]*s[1], -c[0]*s[1], +c[1] ]]) + om[np.abs(om)<1.e-12] = 0.0 + return om + +def eu2ax(eu): + """Bunge-Euler angles to axis angle pair.""" + t = np.tan(eu[1]*0.5) + sigma = 0.5*(eu[0]+eu[2]) + delta = 0.5*(eu[0]-eu[2]) + tau = np.linalg.norm([t,np.sin(sigma)]) + alpha = np.pi if iszero(np.cos(sigma)) else \ + 2.0*np.arctan(tau/np.cos(sigma)) + + if np.abs(alpha)<1.e-6: + ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) + else: + ax = -_P/tau * np.array([ t*np.cos(delta), t*np.sin(delta), np.sin(sigma) ]) # passive axis angle pair so a minus sign in front + ax = np.append(ax,alpha) + if alpha < 0.0: ax *= -1.0 # ensure alpha is positive + return ax + +def eu2ro(eu): + """Bunge-Euler angles to Rodrigues-Frank vector.""" + ro = eu2ax(eu) # convert to axis angle pair representation + if ro[3] >= np.pi: # Differs from original implementation. check convention 5 + ro[3] = np.inf + elif iszero(ro[3]): + ro = np.array([ 0.0, 0.0, _P, 0.0 ]) + else: + ro[3] = np.tan(ro[3]*0.5) + return ro + +#---------- Axis angle pair ---------- +def ax2qu(ax): + """Axis angle pair to quaternion.""" + if np.abs(ax[3])<1.e-6: + qu = np.array([ 1.0, 0.0, 0.0, 0.0 ]) + else: + c = np.cos(ax[3]*0.5) + s = np.sin(ax[3]*0.5) + qu = np.array([ c, ax[0]*s, ax[1]*s, ax[2]*s ]) + return qu + +def ax2om(ax): + """Axis angle pair to rotation matrix.""" + c = np.cos(ax[3]) + s = np.sin(ax[3]) + omc = 1.0-c + om=np.diag(ax[0:3]**2*omc + c) + + for idx in [[0,1,2],[1,2,0],[2,0,1]]: + q = omc*ax[idx[0]] * ax[idx[1]] + om[idx[0],idx[1]] = q + s*ax[idx[2]] + om[idx[1],idx[0]] = q - s*ax[idx[2]] + return om if _P < 0.0 else om.T + +def ax2ro(ax): + """Axis angle pair to Rodrigues-Frank vector.""" + if np.abs(ax[3])<1.e-6: + ro = [ 0.0, 0.0, _P, 0.0 ] + else: + ro = [ax[0], ax[1], ax[2]] + # 180 degree case + ro += [np.inf] if np.isclose(ax[3],np.pi,atol=1.0e-15,rtol=0.0) else \ + [np.tan(ax[3]*0.5)] + ro = np.array(ro) + return ro + +def ax2ho(ax): + """Axis angle pair to homochoric vector.""" + f = (0.75 * ( ax[3] - np.sin(ax[3]) ))**(1.0/3.0) + ho = ax[0:3] * f + return ho + + +#---------- Rodrigues-Frank vector ---------- +def ro2ax(ro): + """Rodrigues-Frank vector to axis angle pair.""" + if np.abs(ro[3]) < 1.e-8: + ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) + elif not np.isfinite(ro[3]): + ax = np.array([ ro[0], ro[1], ro[2], np.pi ]) + else: + angle = 2.0*np.arctan(ro[3]) + ta = np.linalg.norm(ro[0:3]) + ax = np.array([ ro[0]*ta, ro[1]*ta, ro[2]*ta, angle ]) + return ax + +def ro2ho(ro): + """Rodrigues-Frank vector to homochoric vector.""" + if np.sum(ro[0:3]**2.0) < 1.e-8: + ho = np.zeros(3) + else: + f = 2.0*np.arctan(ro[3]) -np.sin(2.0*np.arctan(ro[3])) if np.isfinite(ro[3]) else np.pi + ho = ro[0:3] * (0.75*f)**(1.0/3.0) + return ho + +#---------- Homochoric vector---------- +def ho2ax(ho): + """Homochoric vector to axis angle pair.""" + tfit = np.array([+1.0000000000018852, -0.5000000002194847, + -0.024999992127593126, -0.003928701544781374, + -0.0008152701535450438, -0.0002009500426119712, + -0.00002397986776071756, -0.00008202868926605841, + +0.00012448715042090092, -0.0001749114214822577, + +0.0001703481934140054, -0.00012062065004116828, + +0.000059719705868660826, -0.00001980756723965647, + +0.000003953714684212874, -0.00000036555001439719544]) + # normalize h and store the magnitude + hmag_squared = np.sum(ho**2.) + if iszero(hmag_squared): + ax = np.array([ 0.0, 0.0, 1.0, 0.0 ]) + else: + hm = hmag_squared + + # convert the magnitude to the rotation angle + s = tfit[0] + tfit[1] * hmag_squared + for i in range(2,16): + hm *= hmag_squared + s += tfit[i] * hm + ax = np.append(ho/np.sqrt(hmag_squared),2.0*np.arccos(np.clip(s,-1.0,1.0))) + return ax + +def ho2cu(ho): + """ + Homochoric vector to cubochoric vector. + + References + ---------- + D. Roşca et al., Modelling and Simulation in Materials Science and Engineering 22:075013, 2014 + https://doi.org/10.1088/0965-0393/22/7/075013 + + """ + rs = np.linalg.norm(ho) + + if np.allclose(ho,0.0,rtol=0.0,atol=1.0e-16): + cu = np.zeros(3) + else: + xyz3 = ho[_get_pyramid_order(ho,'forward')] + + # inverse M_3 + xyz2 = xyz3[0:2] * np.sqrt( 2.0*rs/(rs+np.abs(xyz3[2])) ) + + # inverse M_2 + qxy = np.sum(xyz2**2) + + if np.isclose(qxy,0.0,rtol=0.0,atol=1.0e-16): + Tinv = np.zeros(2) + else: + q2 = qxy + np.max(np.abs(xyz2))**2 + sq2 = np.sqrt(q2) + q = (_beta/np.sqrt(2.0)/_R1) * np.sqrt(q2*qxy/(q2-np.max(np.abs(xyz2))*sq2)) + tt = np.clip((np.min(np.abs(xyz2))**2+np.max(np.abs(xyz2))*sq2)/np.sqrt(2.0)/qxy,-1.0,1.0) + Tinv = np.array([1.0,np.arccos(tt)/np.pi*12.0]) if np.abs(xyz2[1]) <= np.abs(xyz2[0]) else \ + np.array([np.arccos(tt)/np.pi*12.0,1.0]) + Tinv = q * np.where(xyz2<0.0,-Tinv,Tinv) + + # inverse M_1 + cu = np.array([ Tinv[0], Tinv[1], (-1.0 if xyz3[2] < 0.0 else 1.0) * rs / np.sqrt(6.0/np.pi) ]) /_sc + cu = cu[_get_pyramid_order(ho,'backward')] + return cu + +#---------- Cubochoric ---------- +def cu2ho(cu): + """ + Cubochoric vector to homochoric vector. + + References + ---------- + D. Roşca et al., Modelling and Simulation in Materials Science and Engineering 22:075013, 2014 + https://doi.org/10.1088/0965-0393/22/7/075013 + + """ + # transform to the sphere grid via the curved square, and intercept the zero point + if np.allclose(cu,0.0,rtol=0.0,atol=1.0e-16): + ho = np.zeros(3) + else: + # get pyramide and scale by grid parameter ratio + XYZ = cu[_get_pyramid_order(cu,'forward')] * _sc + + # intercept all the points along the z-axis + if np.allclose(XYZ[0:2],0.0,rtol=0.0,atol=1.0e-16): + ho = np.array([0.0, 0.0, np.sqrt(6.0/np.pi) * XYZ[2]]) + else: + order = [1,0] if np.abs(XYZ[1]) <= np.abs(XYZ[0]) else [0,1] + q = np.pi/12.0 * XYZ[order[0]]/XYZ[order[1]] + c = np.cos(q) + s = np.sin(q) + q = _R1*2.0**0.25/_beta * XYZ[order[1]] / np.sqrt(np.sqrt(2.0)-c) + T = np.array([ (np.sqrt(2.0)*c - 1.0), np.sqrt(2.0) * s]) * q + + # transform to sphere grid (inverse Lambert) + # note that there is no need to worry about dividing by zero, since XYZ[2] can not become zero + c = np.sum(T**2) + s = c * np.pi/24.0 /XYZ[2]**2 + c = c * np.sqrt(np.pi/24.0)/XYZ[2] + + q = np.sqrt( 1.0 - s ) + ho = np.array([ T[order[1]] * q, T[order[0]] * q, np.sqrt(6.0/np.pi) * XYZ[2] - c ]) + + ho = ho[_get_pyramid_order(cu,'backward')] + return ho + +def _get_pyramid_order(xyz,direction=None): + """ + Get order of the coordinates. + + Depending on the pyramid in which the point is located, the order need to be adjusted. + + Parameters + ---------- + xyz : numpy.ndarray + coordinates of a point on a uniform refinable grid on a ball or + in a uniform refinable cubical grid. + + References + ---------- + D. Roşca et al., Modelling and Simulation in Materials Science and Engineering 22:075013, 2014 + https://doi.org/10.1088/0965-0393/22/7/075013 + + """ + order = {'forward':np.array([[0,1,2],[1,2,0],[2,0,1]]), + 'backward':np.array([[0,1,2],[2,0,1],[1,2,0]])} + if np.maximum(abs(xyz[0]),abs(xyz[1])) <= xyz[2] or \ + np.maximum(abs(xyz[0]),abs(xyz[1])) <=-xyz[2]: + p = 0 + elif np.maximum(abs(xyz[1]),abs(xyz[2])) <= xyz[0] or \ + np.maximum(abs(xyz[1]),abs(xyz[2])) <=-xyz[0]: + p = 1 + elif np.maximum(abs(xyz[2]),abs(xyz[0])) <= xyz[1] or \ + np.maximum(abs(xyz[2]),abs(xyz[0])) <=-xyz[1]: + p = 2 + return order[direction][p] + +#################################################################################################### +#################################################################################################### + +def mul(me, other): + """ + Multiplication. + + Parameters + ---------- + other : numpy.ndarray or Rotation + Vector, second or fourth order tensor, or rotation object that is rotated. + + """ + if me.quaternion.shape != (4,): + raise NotImplementedError('Support for multiple rotations missing') + if isinstance(other, Rotation): + me_q = me.quaternion[0] + me_p = me.quaternion[1:] + other_q = other.quaternion[0] + other_p = other.quaternion[1:] + R = me.__class__(np.append(me_q*other_q - np.dot(me_p,other_p), + me_q*other_p + other_q*me_p + _P * np.cross(me_p,other_p))) + return R._standardize() + elif isinstance(other, np.ndarray): + if other.shape == (3,): + A = me.quaternion[0]**2.0 - np.dot(me.quaternion[1:],me.quaternion[1:]) + B = 2.0 * np.dot(me.quaternion[1:],other) + C = 2.0 * _P * me.quaternion[0] + + return A*other + B*me.quaternion[1:] + C * np.cross(me.quaternion[1:],other) + + elif other.shape == (3,3,): + R = me.as_matrix() + return np.dot(R,np.dot(other,R.T)) + elif other.shape == (3,3,3,3,): + R = me.as_matrix() + return np.einsum('ia,jb,kc,ld,abcd->ijkl',R,R,R,R,other) + RR = np.outer(R, R) + RRRR = np.outer(RR, RR).reshape(4 * (3,3)) + axes = ((0, 2, 4, 6), (0, 1, 2, 3)) + return np.tensordot(RRRR, other, axes) + else: + raise ValueError('Can only rotate vectors, 2nd order tensors, and 4th order tensors') + else: + raise TypeError(f'Cannot rotate {type(other)}') class TestRotation: - def test_Eulers(self,default): - for rot in default: + @pytest.mark.parametrize('forward,backward',[(Rotation._qu2om,Rotation._om2qu), + (Rotation._qu2eu,Rotation._eu2qu), + (Rotation._qu2ax,Rotation._ax2qu), + (Rotation._qu2ro,Rotation._ro2qu), + (Rotation._qu2ho,Rotation._ho2qu), + (Rotation._qu2cu,Rotation._cu2qu)]) + def test_quaternion_internal(self,set_of_rotations,forward,backward): + """Ensure invariance of conversion from quaternion and back.""" + for rot in set_of_rotations: m = rot.as_quaternion() - o = Rotation.from_Eulers(rot.as_Eulers()).as_quaternion() + o = backward(forward(m)) ok = np.allclose(m,o,atol=atol) if np.isclose(rot.as_quaternion()[0],0.0,atol=atol): - ok = ok or np.allclose(m*-1.,o,atol=atol) - print(m,o,rot.as_quaternion()) - assert ok and np.isclose(np.linalg.norm(o),1.0) + ok |= np.allclose(m*-1.,o,atol=atol) + assert ok and np.isclose(np.linalg.norm(o),1.0), f'{m},{o},{rot.as_quaternion()}' - def test_AxisAngle(self,default): - for rot in default: + @pytest.mark.parametrize('forward,backward',[(Rotation._om2qu,Rotation._qu2om), + (Rotation._om2eu,Rotation._eu2om), + (Rotation._om2ax,Rotation._ax2om), + (Rotation._om2ro,Rotation._ro2om), + (Rotation._om2ho,Rotation._ho2om), + (Rotation._om2cu,Rotation._cu2om)]) + def test_matrix_internal(self,set_of_rotations,forward,backward): + """Ensure invariance of conversion from rotation matrix and back.""" + for rot in set_of_rotations: + m = rot.as_matrix() + o = backward(forward(m)) + ok = np.allclose(m,o,atol=atol) + assert ok and np.isclose(np.linalg.det(o),1.0), f'{m},{o},{rot.as_quaternion()}' + + @pytest.mark.parametrize('forward,backward',[(Rotation._eu2qu,Rotation._qu2eu), + (Rotation._eu2om,Rotation._om2eu), + (Rotation._eu2ax,Rotation._ax2eu), + (Rotation._eu2ro,Rotation._ro2eu), + (Rotation._eu2ho,Rotation._ho2eu), + (Rotation._eu2cu,Rotation._cu2eu)]) + def test_Eulers_internal(self,set_of_rotations,forward,backward): + """Ensure invariance of conversion from Euler angles and back.""" + for rot in set_of_rotations: m = rot.as_Eulers() - o = Rotation.from_axis_angle(rot.as_axis_angle()).as_Eulers() + o = backward(forward(m)) u = np.array([np.pi*2,np.pi,np.pi*2]) ok = np.allclose(m,o,atol=atol) ok = ok or np.allclose(np.where(np.isclose(m,u),m-u,m),np.where(np.isclose(o,u),o-u,o),atol=atol) if np.isclose(m[1],0.0,atol=atol) or np.isclose(m[1],np.pi,atol=atol): sum_phi = np.unwrap([m[0]+m[2],o[0]+o[2]]) - ok = ok or np.isclose(sum_phi[0],sum_phi[1],atol=atol) - print(m,o,rot.as_quaternion()) - assert ok and (np.zeros(3)-1.e-9 <= o).all() and (o <= np.array([np.pi*2.,np.pi,np.pi*2.])+1.e-9).all() + ok |= np.isclose(sum_phi[0],sum_phi[1],atol=atol) + assert ok and (np.zeros(3)-1.e-9 <= o).all() \ + and (o <= np.array([np.pi*2.,np.pi,np.pi*2.])+1.e-9).all(), f'{m},{o},{rot.as_quaternion()}' - def test_Matrix(self,default): - for rot in default: + @pytest.mark.parametrize('forward,backward',[(Rotation._ax2qu,Rotation._qu2ax), + (Rotation._ax2om,Rotation._om2ax), + (Rotation._ax2eu,Rotation._eu2ax), + (Rotation._ax2ro,Rotation._ro2ax), + (Rotation._ax2ho,Rotation._ho2ax), + (Rotation._ax2cu,Rotation._cu2ax)]) + def test_axis_angle_internal(self,set_of_rotations,forward,backward): + """Ensure invariance of conversion from axis angle angles pair and back.""" + for rot in set_of_rotations: + m = rot.as_axis_angle() + o = backward(forward(m)) + ok = np.allclose(m,o,atol=atol) + if np.isclose(m[3],np.pi,atol=atol): + ok |= np.allclose(m*np.array([-1.,-1.,-1.,1.]),o,atol=atol) + assert ok and np.isclose(np.linalg.norm(o[:3]),1.0) and o[3]<=np.pi+1.e-9, f'{m},{o},{rot.as_quaternion()}' + + @pytest.mark.parametrize('forward,backward',[(Rotation._ro2qu,Rotation._qu2ro), + #(Rotation._ro2om,Rotation._om2ro), + #(Rotation._ro2eu,Rotation._eu2ro), + (Rotation._ro2ax,Rotation._ax2ro), + (Rotation._ro2ho,Rotation._ho2ro), + (Rotation._ro2cu,Rotation._cu2ro)]) + def test_Rodrigues_internal(self,set_of_rotations,forward,backward): + """Ensure invariance of conversion from Rodrigues-Frank vector and back.""" + cutoff = np.tan(np.pi*.5*(1.-1e-4)) + for rot in set_of_rotations: + m = rot.as_Rodrigues() + o = backward(forward(m)) + ok = np.allclose(np.clip(m,None,cutoff),np.clip(o,None,cutoff),atol=atol) + ok = ok or np.isclose(m[3],0.0,atol=atol) + assert ok and np.isclose(np.linalg.norm(o[:3]),1.0), f'{m},{o},{rot.as_quaternion()}' + + @pytest.mark.parametrize('forward,backward',[(Rotation._ho2qu,Rotation._qu2ho), + (Rotation._ho2om,Rotation._om2ho), + #(Rotation._ho2eu,Rotation._eu2ho), + (Rotation._ho2ax,Rotation._ax2ho), + (Rotation._ho2ro,Rotation._ro2ho), + (Rotation._ho2cu,Rotation._cu2ho)]) + def test_homochoric_internal(self,set_of_rotations,forward,backward): + """Ensure invariance of conversion from homochoric vector and back.""" + for rot in set_of_rotations: + m = rot.as_homochoric() + o = backward(forward(m)) + ok = np.allclose(m,o,atol=atol) + assert ok and np.linalg.norm(o) < _R1 + 1.e-9, f'{m},{o},{rot.as_quaternion()}' + + @pytest.mark.parametrize('forward,backward',[(Rotation._cu2qu,Rotation._qu2cu), + (Rotation._cu2om,Rotation._om2cu), + (Rotation._cu2eu,Rotation._eu2cu), + (Rotation._cu2ax,Rotation._ax2cu), + (Rotation._cu2ro,Rotation._ro2cu), + (Rotation._cu2ho,Rotation._ho2cu)]) + def test_cubochoric_internal(self,set_of_rotations,forward,backward): + """Ensure invariance of conversion from cubochoric vector and back.""" + for rot in set_of_rotations: + m = rot.as_cubochoric() + o = backward(forward(m)) + ok = np.allclose(m,o,atol=atol) + if np.count_nonzero(np.isclose(np.abs(o),np.pi**(2./3.)*.5)): + ok = ok or np.allclose(m*-1.,o,atol=atol) + assert ok and np.max(np.abs(o)) < np.pi**(2./3.) * 0.5 + 1.e-9, f'{m},{o},{rot.as_quaternion()}' + + @pytest.mark.parametrize('vectorized, single',[(Rotation._qu2om,qu2om), + (Rotation._qu2eu,qu2eu), + (Rotation._qu2ax,qu2ax), + (Rotation._qu2ro,qu2ro), + (Rotation._qu2ho,qu2ho)]) + def test_quaternion_vectorization(self,set_of_quaternions,vectorized,single): + """Check vectorized implementation for quaternion against single point calculation.""" + qu = np.array(set_of_quaternions) + vectorized(qu.reshape(qu.shape[0]//2,-1,4)) + co = vectorized(qu) + for q,c in zip(qu,co): + assert np.allclose(single(q),c) and np.allclose(single(q),vectorized(q)), f'{q},{c}' + + + @pytest.mark.parametrize('vectorized, single',[(Rotation._om2qu,om2qu), + (Rotation._om2eu,om2eu), + (Rotation._om2ax,om2ax)]) + def test_matrix_vectorization(self,set_of_rotations,vectorized,single): + """Check vectorized implementation for rotation matrix against single point calculation.""" + om = np.array([rot.as_matrix() for rot in set_of_rotations]) + vectorized(om.reshape(om.shape[0]//2,-1,3,3)) + co = vectorized(om) + for o,c in zip(om,co): + assert np.allclose(single(o),c) and np.allclose(single(o),vectorized(o)), f'{o},{c}' + + @pytest.mark.parametrize('vectorized, single',[(Rotation._eu2qu,eu2qu), + (Rotation._eu2om,eu2om), + (Rotation._eu2ax,eu2ax), + (Rotation._eu2ro,eu2ro)]) + def test_Eulers_vectorization(self,set_of_rotations,vectorized,single): + """Check vectorized implementation for Euler angles against single point calculation.""" + eu = np.array([rot.as_Eulers() for rot in set_of_rotations]) + vectorized(eu.reshape(eu.shape[0]//2,-1,3)) + co = vectorized(eu) + for e,c in zip(eu,co): + assert np.allclose(single(e),c) and np.allclose(single(e),vectorized(e)), f'{e},{c}' + + @pytest.mark.parametrize('vectorized, single',[(Rotation._ax2qu,ax2qu), + (Rotation._ax2om,ax2om), + (Rotation._ax2ro,ax2ro), + (Rotation._ax2ho,ax2ho)]) + def test_axis_angle_vectorization(self,set_of_rotations,vectorized,single): + """Check vectorized implementation for axis angle pair against single point calculation.""" + ax = np.array([rot.as_axis_angle() for rot in set_of_rotations]) + vectorized(ax.reshape(ax.shape[0]//2,-1,4)) + co = vectorized(ax) + for a,c in zip(ax,co): + assert np.allclose(single(a),c) and np.allclose(single(a),vectorized(a)), f'{a},{c}' + + + @pytest.mark.parametrize('vectorized, single',[(Rotation._ro2ax,ro2ax), + (Rotation._ro2ho,ro2ho)]) + def test_Rodrigues_vectorization(self,set_of_rotations,vectorized,single): + """Check vectorized implementation for Rodrigues-Frank vector against single point calculation.""" + ro = np.array([rot.as_Rodrigues() for rot in set_of_rotations]) + vectorized(ro.reshape(ro.shape[0]//2,-1,4)) + co = vectorized(ro) + for r,c in zip(ro,co): + assert np.allclose(single(r),c) and np.allclose(single(r),vectorized(r)), f'{r},{c}' + + @pytest.mark.parametrize('vectorized, single',[(Rotation._ho2ax,ho2ax), + (Rotation._ho2cu,ho2cu)]) + def test_homochoric_vectorization(self,set_of_rotations,vectorized,single): + """Check vectorized implementation for homochoric vector against single point calculation.""" + ho = np.array([rot.as_homochoric() for rot in set_of_rotations]) + vectorized(ho.reshape(ho.shape[0]//2,-1,3)) + co = vectorized(ho) + for h,c in zip(ho,co): + assert np.allclose(single(h),c) and np.allclose(single(h),vectorized(h)), f'{h},{c}' + + @pytest.mark.parametrize('vectorized, single',[(Rotation._cu2ho,cu2ho)]) + def test_cubochoric_vectorization(self,set_of_rotations,vectorized,single): + """Check vectorized implementation for cubochoric vector against single point calculation.""" + cu = np.array([rot.as_cubochoric() for rot in set_of_rotations]) + vectorized(cu.reshape(cu.shape[0]//2,-1,3)) + co = vectorized(cu) + for u,c in zip(cu,co): + assert np.allclose(single(u),c) and np.allclose(single(u),vectorized(u)), f'{u},{c}' + + @pytest.mark.parametrize('func',[Rotation.from_axis_angle]) + def test_normalization_vectorization(self,func): + """Check vectorized implementation normalization.""" + vec = np.random.rand(5,4) + ori = func(vec,normalize=True) + for v,o in zip(vec,ori): + assert np.allclose(func(v,normalize=True).as_quaternion(),o.as_quaternion()) + + + @pytest.mark.parametrize('degrees',[True,False]) + def test_Eulers(self,set_of_rotations,degrees): + for rot in set_of_rotations: + m = rot.as_quaternion() + o = Rotation.from_Eulers(rot.as_Eulers(degrees),degrees).as_quaternion() + ok = np.allclose(m,o,atol=atol) + if np.isclose(rot.as_quaternion()[0],0.0,atol=atol): + ok |= np.allclose(m*-1.,o,atol=atol) + assert ok and np.isclose(np.linalg.norm(o),1.0), f'{m},{o},{rot.as_quaternion()}' + + @pytest.mark.parametrize('P',[1,-1]) + @pytest.mark.parametrize('normalize',[True,False]) + @pytest.mark.parametrize('degrees',[True,False]) + def test_axis_angle(self,set_of_rotations,degrees,normalize,P): + c = np.array([P*-1,P*-1,P*-1,1.]) + for rot in set_of_rotations: + m = rot.as_Eulers() + o = Rotation.from_axis_angle(rot.as_axis_angle(degrees)*c,degrees,normalize,P).as_Eulers() + u = np.array([np.pi*2,np.pi,np.pi*2]) + ok = np.allclose(m,o,atol=atol) + ok |= np.allclose(np.where(np.isclose(m,u),m-u,m),np.where(np.isclose(o,u),o-u,o),atol=atol) + if np.isclose(m[1],0.0,atol=atol) or np.isclose(m[1],np.pi,atol=atol): + sum_phi = np.unwrap([m[0]+m[2],o[0]+o[2]]) + ok |= np.isclose(sum_phi[0],sum_phi[1],atol=atol) + assert ok and (np.zeros(3)-1.e-9 <= o).all() \ + and (o <= np.array([np.pi*2.,np.pi,np.pi*2.])+1.e-9).all(), f'{m},{o},{rot.as_quaternion()}' + + def test_matrix(self,set_of_rotations): + for rot in set_of_rotations: m = rot.as_axis_angle() o = Rotation.from_axis_angle(rot.as_axis_angle()).as_axis_angle() ok = np.allclose(m,o,atol=atol) if np.isclose(m[3],np.pi,atol=atol): ok = ok or np.allclose(m*np.array([-1.,-1.,-1.,1.]),o,atol=atol) - print(m,o,rot.as_quaternion()) - assert ok and np.isclose(np.linalg.norm(o[:3]),1.0) and o[3]<=np.pi++1.e-9 + assert ok and np.isclose(np.linalg.norm(o[:3]),1.0) \ + and o[3]<=np.pi+1.e-9, f'{m},{o},{rot.as_quaternion()}' - def test_Rodrigues(self,default): - for rot in default: + @pytest.mark.parametrize('P',[1,-1]) + @pytest.mark.parametrize('normalize',[True,False]) + def test_Rodrigues(self,set_of_rotations,normalize,P): + c = np.array([P*-1,P*-1,P*-1,1.]) + for rot in set_of_rotations: m = rot.as_matrix() - o = Rotation.from_Rodrigues(rot.as_Rodrigues()).as_matrix() + o = Rotation.from_Rodrigues(rot.as_Rodrigues()*c,normalize,P).as_matrix() ok = np.allclose(m,o,atol=atol) - print(m,o) - assert ok and np.isclose(np.linalg.det(o),1.0) + assert ok and np.isclose(np.linalg.det(o),1.0), f'{m},{o}' - def test_Homochoric(self,default): + @pytest.mark.parametrize('P',[1,-1]) + def test_homochoric(self,set_of_rotations,P): cutoff = np.tan(np.pi*.5*(1.-1e-4)) - for rot in default: + for rot in set_of_rotations: m = rot.as_Rodrigues() - o = Rotation.from_homochoric(rot.as_homochoric()).as_Rodrigues() + o = Rotation.from_homochoric(rot.as_homochoric()*P*-1,P).as_Rodrigues() ok = np.allclose(np.clip(m,None,cutoff),np.clip(o,None,cutoff),atol=atol) ok = ok or np.isclose(m[3],0.0,atol=atol) - print(m,o,rot.as_quaternion()) - assert ok and np.isclose(np.linalg.norm(o[:3]),1.0) + assert ok and np.isclose(np.linalg.norm(o[:3]),1.0), f'{m},{o},{rot.as_quaternion()}' - def test_Cubochoric(self,default): - for rot in default: + @pytest.mark.parametrize('P',[1,-1]) + def test_cubochoric(self,set_of_rotations,P): + for rot in set_of_rotations: m = rot.as_homochoric() - o = Rotation.from_cubochoric(rot.as_cubochoric()).as_homochoric() + o = Rotation.from_cubochoric(rot.as_cubochoric()*P*-1,P).as_homochoric() ok = np.allclose(m,o,atol=atol) - print(m,o,rot.as_quaternion()) - assert ok and np.linalg.norm(o) < (3.*np.pi/4.)**(1./3.) + 1.e-9 + assert ok and np.linalg.norm(o) < (3.*np.pi/4.)**(1./3.) + 1.e-9, f'{m},{o},{rot.as_quaternion()}' - def test_Quaternion(self,default): - for rot in default: + @pytest.mark.parametrize('P',[1,-1]) + @pytest.mark.parametrize('accept_homomorph',[True,False]) + def test_quaternion(self,set_of_rotations,P,accept_homomorph): + c = np.array([1,P*-1,P*-1,P*-1]) * (-1 if accept_homomorph else 1) + for rot in set_of_rotations: m = rot.as_cubochoric() - o = Rotation.from_quaternion(rot.as_quaternion()).as_cubochoric() + o = Rotation.from_quaternion(rot.as_quaternion()*c,accept_homomorph,P).as_cubochoric() ok = np.allclose(m,o,atol=atol) - print(m,o,rot.as_quaternion()) - assert ok and o.max() < np.pi**(2./3.)*0.5+1.e-9 + if np.count_nonzero(np.isclose(np.abs(o),np.pi**(2./3.)*.5)): + ok |= np.allclose(m*-1.,o,atol=atol) + assert ok and o.max() < np.pi**(2./3.)*0.5+1.e-9, f'{m},{o},{rot.as_quaternion()}' + + @pytest.mark.parametrize('reciprocal',[True,False]) + def test_basis(self,set_of_rotations,reciprocal): + for rot in set_of_rotations: + om = rot.as_matrix() + 0.1*np.eye(3) + rot = Rotation.from_basis(om,False,reciprocal=reciprocal) + assert np.isclose(np.linalg.det(rot.as_matrix()),1.0) + + @pytest.mark.parametrize('shape',[None,1,(4,4)]) + def test_random(self,shape): + Rotation.from_random(shape) @pytest.mark.parametrize('function',[Rotation.from_quaternion, Rotation.from_Eulers, Rotation.from_axis_angle, Rotation.from_matrix, Rotation.from_Rodrigues, - Rotation.from_homochoric]) + Rotation.from_homochoric, + Rotation.from_cubochoric]) def test_invalid_shape(self,function): invalid_shape = np.random.random(np.random.randint(8,32,(3))) with pytest.raises(ValueError): function(invalid_shape) + @pytest.mark.parametrize('fr,to',[(Rotation.from_quaternion,'as_quaternion'), + (Rotation.from_axis_angle,'as_axis_angle'), + (Rotation.from_Rodrigues, 'as_Rodrigues'), + (Rotation.from_homochoric,'as_homochoric'), + (Rotation.from_cubochoric,'as_cubochoric')]) + def test_invalid_P(self,fr,to): + R = Rotation.from_random(np.random.randint(8,32,(3))) # noqa + with pytest.raises(ValueError): + fr(eval(f'R.{to}()'),P=-30) + + @pytest.mark.parametrize('shape',[None,(3,),(4,2)]) + def test_broadcast(self,shape): + rot = Rotation.from_random(shape) + new_shape = tuple(np.random.randint(8,32,(3))) if shape is None else \ + rot.shape + (np.random.randint(8,32),) + rot_broadcast = rot.broadcast_to(tuple(new_shape)) + for i in range(rot_broadcast.shape[-1]): + assert np.allclose(rot_broadcast.quaternion[...,i,:], rot.quaternion) + + @pytest.mark.parametrize('function,invalid',[(Rotation.from_quaternion, np.array([-1,0,0,0])), (Rotation.from_quaternion, np.array([1,1,1,0])), (Rotation.from_Eulers, np.array([1,4,0])), (Rotation.from_axis_angle, np.array([1,0,0,4])), (Rotation.from_axis_angle, np.array([1,1,0,1])), (Rotation.from_matrix, np.random.rand(3,3)), + (Rotation.from_matrix, np.array([[1,1,0],[1,2,0],[0,0,1]])), (Rotation.from_Rodrigues, np.array([1,0,0,-1])), (Rotation.from_Rodrigues, np.array([1,1,0,1])), - (Rotation.from_homochoric, np.array([2,2,2])) ]) - def test_invalid(self,function,invalid): + (Rotation.from_homochoric, np.array([2,2,2])), + (Rotation.from_cubochoric, np.array([1.1,0,0])) ]) + def test_invalid_value(self,function,invalid): with pytest.raises(ValueError): function(invalid) - @pytest.mark.parametrize('conversion',[Rotation.qu2om, - Rotation.qu2eu, - Rotation.qu2ax, - Rotation.qu2ro, - Rotation.qu2ho, - Rotation.qu2cu - ]) - def test_quaternion_vectorization(self,default,conversion): - qu = np.array([rot.as_quaternion() for rot in default]) - conversion(qu.reshape(qu.shape[0]//2,-1,4)) - co = conversion(qu) - for q,c in zip(qu,co): - print(q,c) - assert np.allclose(conversion(q),c) - - @pytest.mark.parametrize('conversion',[Rotation.om2qu, - Rotation.om2eu, - Rotation.om2ax, - Rotation.om2ro, - Rotation.om2ho, - Rotation.om2cu - ]) - def test_matrix_vectorization(self,default,conversion): - om = np.array([rot.as_matrix() for rot in default]) - conversion(om.reshape(om.shape[0]//2,-1,3,3)) - co = conversion(om) - for o,c in zip(om,co): - print(o,c) - assert np.allclose(conversion(o),c) - - @pytest.mark.parametrize('conversion',[Rotation.eu2qu, - Rotation.eu2om, - Rotation.eu2ax, - Rotation.eu2ro, - Rotation.eu2ho, - Rotation.eu2cu - ]) - def test_Euler_vectorization(self,default,conversion): - eu = np.array([rot.as_Eulers() for rot in default]) - conversion(eu.reshape(eu.shape[0]//2,-1,3)) - co = conversion(eu) - for e,c in zip(eu,co): - print(e,c) - assert np.allclose(conversion(e),c) - - @pytest.mark.parametrize('conversion',[Rotation.ax2qu, - Rotation.ax2om, - Rotation.ax2eu, - Rotation.ax2ro, - Rotation.ax2ho, - Rotation.ax2cu - ]) - def test_axisAngle_vectorization(self,default,conversion): - ax = np.array([rot.as_axis_angle() for rot in default]) - conversion(ax.reshape(ax.shape[0]//2,-1,4)) - co = conversion(ax) - for a,c in zip(ax,co): - print(a,c) - assert np.allclose(conversion(a),c) - - - @pytest.mark.parametrize('conversion',[Rotation.ro2qu, - Rotation.ro2om, - Rotation.ro2eu, - Rotation.ro2ax, - Rotation.ro2ho, - Rotation.ro2cu - ]) - def test_Rodrigues_vectorization(self,default,conversion): - ro = np.array([rot.as_Rodrigues() for rot in default]) - conversion(ro.reshape(ro.shape[0]//2,-1,4)) - co = conversion(ro) - for r,c in zip(ro,co): - print(r,c) - assert np.allclose(conversion(r),c) - - @pytest.mark.parametrize('conversion',[Rotation.ho2qu, - Rotation.ho2om, - Rotation.ho2eu, - Rotation.ho2ax, - Rotation.ho2ro, - Rotation.ho2cu - ]) - def test_homochoric_vectorization(self,default,conversion): - ho = np.array([rot.as_homochoric() for rot in default]) - conversion(ho.reshape(ho.shape[0]//2,-1,3)) - co = conversion(ho) - for h,c in zip(ho,co): - print(h,c) - assert np.allclose(conversion(h),c) - - @pytest.mark.parametrize('conversion',[Rotation.cu2qu, - Rotation.cu2om, - Rotation.cu2eu, - Rotation.cu2ax, - Rotation.cu2ro, - Rotation.cu2ho - ]) - def test_cubochoric_vectorization(self,default,conversion): - cu = np.array([rot.as_cubochoric() for rot in default]) - conversion(cu.reshape(cu.shape[0]//2,-1,3)) - co = conversion(cu) - for u,c in zip(cu,co): - print(u,c) - assert np.allclose(conversion(u),c) - @pytest.mark.parametrize('direction',['forward', 'backward']) def test_pyramid_vectorization(self,direction): @@ -300,3 +831,151 @@ class TestRotation: f = Rotation._get_pyramid_order(a,'forward') b = Rotation._get_pyramid_order(a,'backward') assert np.all(np.take_along_axis(np.take_along_axis(a,f,-1),b,-1) == a) + + + @pytest.mark.parametrize('data',[np.random.rand(5,3), + np.random.rand(5,3,3), + np.random.rand(5,3,3,3,3)]) + def test_rotate_vectorization(self,set_of_rotations,data): + for rot in set_of_rotations: + v = rot.broadcast_to((5,)) @ data + for i in range(data.shape[0]): + assert np.allclose(mul(rot,data[i]),v[i]), f'{i-data[i]}' + + + @pytest.mark.parametrize('data',[np.random.rand(3), + np.random.rand(3,3), + np.random.rand(3,3,3,3)]) + def test_rotate_identity(self,data): + R = Rotation() + assert np.allclose(data,R*data) + + @pytest.mark.parametrize('data',[np.random.rand(3), + np.random.rand(3,3), + np.random.rand(3,3,3,3)]) + def test_rotate_360deg(self,data): + phi_1 = np.random.random() * np.pi + phi_2 = 2*np.pi - phi_1 + R_1 = Rotation.from_Eulers(np.array([phi_1,0.,0.])) + R_2 = Rotation.from_Eulers(np.array([0.,0.,phi_2])) + assert np.allclose(data,R_2@(R_1@data)) + + def test_rotate_inverse(self): + R = Rotation.from_random() + assert np.allclose(np.eye(3),(~R@R).as_matrix()) + + @pytest.mark.parametrize('data',[np.random.rand(3), + np.random.rand(3,3), + np.random.rand(3,3,3,3)]) + def test_rotate_inverse_array(self,data): + R = Rotation.from_random() + assert np.allclose(data,~R@(R@data)) + + @pytest.mark.parametrize('data',[np.random.rand(4), + np.random.rand(3,2), + np.random.rand(3,2,3,3)]) + def test_rotate_invalid_shape(self,data): + R = Rotation.from_random() + with pytest.raises(ValueError): + R*data + + @pytest.mark.parametrize('data',['does_not_work', + (1,2), + 5]) + def test_rotate_invalid_type(self,data): + R = Rotation.from_random() + with pytest.raises(TypeError): + R*data + + def test_misorientation(self): + R = Rotation.from_random() + assert np.allclose(R.misorientation(R).as_matrix(),np.eye(3)) + + def test_misorientation360(self): + R_1 = Rotation() + R_2 = Rotation.from_Eulers([360,0,0],degrees=True) + assert np.allclose(R_1.misorientation(R_2).as_matrix(),np.eye(3)) + + @pytest.mark.parametrize('angle',[10,20,30,40,50,60,70,80,90,100,120]) + def test_average(self,angle): + R_1 = Rotation.from_axis_angle([0,0,1,10],degrees=True) + R_2 = Rotation.from_axis_angle([0,0,1,angle],degrees=True) + avg_angle = R_1.average(R_2).as_axis_angle(degrees=True,pair=True)[1] + assert np.isclose(avg_angle,10+(angle-10)/2.) + + + @pytest.mark.parametrize('sigma',[5,10,15,20]) + @pytest.mark.parametrize('N',[1000,10000,100000]) + def test_spherical_component(self,N,sigma): + p = [] + for run in range(5): + c = Rotation.from_random() + o = Rotation.from_spherical_component(c,sigma,N) + _, angles = c.misorientation(o).as_axis_angle(pair=True,degrees=True) + angles[::2] *= -1 # flip angle for every second to symmetrize distribution + + p.append(stats.normaltest(angles)[1]) + + sigma_out = np.std(angles) + p = np.average(p) + assert (.9 < sigma/sigma_out < 1.1) and p > 1e-2, f'{sigma/sigma_out},{p}' + + + @pytest.mark.parametrize('sigma',[5,10,15,20]) + @pytest.mark.parametrize('N',[1000,10000,100000]) + def test_from_fiber_component(self,N,sigma): + p = [] + for run in range(5): + alpha = np.random.random()*2*np.pi,np.arccos(np.random.random()) + beta = np.random.random()*2*np.pi,np.arccos(np.random.random()) + + f_in_C = np.array([np.sin(alpha[0])*np.cos(alpha[1]), np.sin(alpha[0])*np.sin(alpha[1]), np.cos(alpha[0])]) + f_in_S = np.array([np.sin(beta[0] )*np.cos(beta[1] ), np.sin(beta[0] )*np.sin(beta[1] ), np.cos(beta[0] )]) + ax = np.append(np.cross(f_in_C,f_in_S), - np.arccos(np.dot(f_in_C,f_in_S))) + n = Rotation.from_axis_angle(ax if ax[3] > 0.0 else ax*-1.0 ,normalize=True) # rotation to align fiber axis in crystal and sample system + + o = Rotation.from_fiber_component(alpha,beta,np.radians(sigma),N,False) + angles = np.arccos(np.clip(np.dot(o@np.broadcast_to(f_in_S,(N,3)),n@f_in_S),-1,1)) + dist = np.array(angles) * (np.random.randint(0,2,N)*2-1) + + p.append(stats.normaltest(dist)[1]) + + sigma_out = np.degrees(np.std(dist)) + p = np.average(p) + assert (.9 < sigma/sigma_out < 1.1) and p > 1e-2, f'{sigma/sigma_out},{p}' + + + @pytest.mark.parametrize('fractions',[True,False]) + @pytest.mark.parametrize('degrees',[True,False]) + @pytest.mark.parametrize('N',[2**13,2**14,2**15]) + def test_ODF_cell(self,reference_dir,fractions,degrees,N): + steps = np.array([144,36,36]) + limits = np.array([360.,90.,90.]) + rng = tuple(zip(np.zeros(3),limits)) + + weights = Table.load(reference_dir/'ODF_experimental_cell.txt').get('intensity').flatten() + Eulers = grid_filters.cell_coord0(steps,limits) + Eulers = np.radians(Eulers) if not degrees else Eulers + + Eulers_r = Rotation.from_ODF(weights,Eulers.reshape(-1,3,order='F'),N,degrees,fractions).as_Eulers(True) + weights_r = np.histogramdd(Eulers_r,steps,rng)[0].flatten(order='F')/N * np.sum(weights) + + if fractions: assert np.sqrt(((weights_r - weights) ** 2).mean()) < 4 + + @pytest.mark.parametrize('degrees',[True,False]) + @pytest.mark.parametrize('N',[2**13,2**14,2**15]) + def test_ODF_node(self,reference_dir,degrees,N): + steps = np.array([144,36,36]) + limits = np.array([360.,90.,90.]) + rng = tuple(zip(-limits/steps*.5,limits-limits/steps*.5)) + + weights = Table.load(reference_dir/'ODF_experimental.txt').get('intensity') + weights = weights.reshape(steps+1,order='F')[:-1,:-1,:-1].reshape(-1,order='F') + + Eulers = grid_filters.node_coord0(steps,limits)[:-1,:-1,:-1] + Eulers = np.radians(Eulers) if not degrees else Eulers + + Eulers_r = Rotation.from_ODF(weights,Eulers.reshape(-1,3,order='F'),N,degrees).as_Eulers(True) + weights_r = np.histogramdd(Eulers_r,steps,rng)[0].flatten(order='F')/N * np.sum(weights) + + assert np.sqrt(((weights_r - weights) ** 2).mean()) < 5 diff --git a/python/tests/test_Table.py b/python/tests/test_Table.py index cfcdd8813..9dad681bd 100644 --- a/python/tests/test_Table.py +++ b/python/tests/test_Table.py @@ -1,5 +1,3 @@ -import os - import pytest import numpy as np @@ -15,10 +13,10 @@ def default(): @pytest.fixture def reference_dir(reference_dir_base): """Directory containing reference results.""" - return os.path.join(reference_dir_base,'Table') + return reference_dir_base/'Table' class TestTable: - + def test_get_scalar(self,default): d = default.get('s') assert np.allclose(d,1.0) and d.shape[1:] == (1,) @@ -29,87 +27,100 @@ class TestTable: def test_get_tensor(self,default): d = default.get('F') - assert np.allclose(d,1.0) and d.shape[1:] == (3,3) + assert np.allclose(d,1.0) and d.shape[1:] == (3,3) def test_get_component(self,default): d = default.get('5_F') assert np.allclose(d,1.0) and d.shape[1:] == (1,) - - def test_write_read_str(self,default,tmpdir): - default.to_ASCII(str(tmpdir.join('default.txt'))) - new = Table.from_ASCII(str(tmpdir.join('default.txt'))) + + @pytest.mark.parametrize('mode',['str','path']) + def test_write_read(self,default,tmp_path,mode): + default.save(tmp_path/'default.txt') + if mode == 'path': + new = Table.load(tmp_path/'default.txt') + elif mode == 'str': + new = Table.load(str(tmp_path/'default.txt')) assert all(default.data==new.data) and default.shapes == new.shapes - def test_write_read_file(self,default,tmpdir): - with open(tmpdir.join('default.txt'),'w') as f: - default.to_ASCII(f) - with open(tmpdir.join('default.txt')) as f: - new = Table.from_ASCII(f) + def test_write_read_file(self,default,tmp_path): + with open(tmp_path/'default.txt','w') as f: + default.save(f) + with open(tmp_path/'default.txt') as f: + new = Table.load(f) assert all(default.data==new.data) and default.shapes == new.shapes - def test_write_read_new_style(self,default,tmpdir): - with open(tmpdir.join('new_style.txt'),'w') as f: - default.to_ASCII(f,new_style=True) - with open(tmpdir.join('new_style.txt')) as f: - new = Table.from_ASCII(f) + def test_write_read_legacy_style(self,default,tmp_path): + with open(tmp_path/'legacy.txt','w') as f: + default.save(f,legacy=True) + with open(tmp_path/'legacy.txt') as f: + new = Table.load(f) assert all(default.data==new.data) and default.shapes == new.shapes - def test_read_ang_str(self,reference_dir): - new = Table.from_ang(os.path.join(reference_dir,'simple.ang')) + def test_write_invalid_format(self,default,tmp_path): + with pytest.raises(TypeError): + default.save(tmp_path/'shouldnotbethere.txt',format='invalid') + + @pytest.mark.parametrize('mode',['str','path']) + def test_read_ang(self,reference_dir,mode): + if mode == 'path': + new = Table.load_ang(reference_dir/'simple.ang') + elif mode == 'str': + new = Table.load_ang(str(reference_dir/'simple.ang')) assert new.data.shape == (4,10) and \ new.labels == ['eu', 'pos', 'IQ', 'CI', 'ID', 'intensity', 'fit'] def test_read_ang_file(self,reference_dir): - f = open(os.path.join(reference_dir,'simple.ang')) - new = Table.from_ang(f) + f = open(reference_dir/'simple.ang') + new = Table.load_ang(f) assert new.data.shape == (4,10) and \ new.labels == ['eu', 'pos', 'IQ', 'CI', 'ID', 'intensity', 'fit'] @pytest.mark.parametrize('fname',['datatype-mix.txt','whitespace-mix.txt']) def test_read_strange(self,reference_dir,fname): - with open(os.path.join(reference_dir,fname)) as f: - Table.from_ASCII(f) - + with open(reference_dir/fname) as f: + Table.load(f) + def test_set(self,default): - default.set('F',np.zeros((5,3,3)),'set to zero') - d=default.get('F') + d = default.set('F',np.zeros((5,3,3)),'set to zero').get('F') assert np.allclose(d,0.0) and d.shape[1:] == (3,3) + def test_set_component(self,default): + d = default.set('1_F',np.zeros((5)),'set to zero').get('F') + assert np.allclose(d[...,0,0],0.0) and d.shape[1:] == (3,3) + def test_labels(self,default): assert default.labels == ['F','v','s'] - + def test_add(self,default): d = np.random.random((5,9)) - default.add('nine',d,'random data') - assert np.allclose(d,default.get('nine')) + assert np.allclose(d,default.add('nine',d,'random data').get('nine')) def test_rename_equivalent(self): x = np.random.random((5,13)) t = Table(x,{'F':(3,3),'v':(3,),'s':(1,)},['random test data']) s = t.get('s') - t.rename('s','u') - u = t.get('u') + u = t.rename('s','u').get('u') assert np.all(s == u) def test_rename_gone(self,default): - default.rename('v','V') - assert 'v' not in default.shapes and 'v' not in default.data.columns + gone = default.rename('v','V') + assert 'v' not in gone.shapes and 'v' not in gone.data.columns with pytest.raises(KeyError): - default.get('v') + gone.get('v') def test_delete(self,default): - default.delete('v') - assert 'v' not in default.shapes and 'v' not in default.data.columns + delete = default.delete('v') + assert 'v' not in delete.shapes and 'v' not in delete.data.columns with pytest.raises(KeyError): - default.get('v') + delete.get('v') def test_join(self): x = np.random.random((5,13)) a = Table(x,{'F':(3,3),'v':(3,),'s':(1,)},['random test data']) y = np.random.random((5,3)) b = Table(y,{'u':(3,)},['random test data']) - a.join(b) - assert np.array_equal(a.get('u'), b.get('u')) + c = a.join(b) + assert np.array_equal(c.get('u'), b.get('u')) def test_join_invalid(self): x = np.random.random((5,13)) @@ -120,8 +131,8 @@ class TestTable: def test_append(self): x = np.random.random((5,13)) a = Table(x,{'F':(3,3),'v':(3,),'s':(1,)},['random test data']) - a.append(a) - assert np.array_equal(a.data[:5].to_numpy(),a.data[5:].to_numpy()) + b = a.append(a) + assert np.array_equal(b.data[:5].to_numpy(),b.data[5:].to_numpy()) def test_append_invalid(self): x = np.random.random((5,13)) @@ -148,29 +159,26 @@ class TestTable: x = np.random.random((5,13)) t = Table(x,{'F':(3,3),'v':(3,),'s':(1,)},['random test data']) unsort = t.get('s') - t.sort_by('s') - sort = t.get('s') + sort = t.sort_by('s').get('s') assert np.all(np.sort(unsort,0)==sort) def test_sort_component(self): x = np.random.random((5,12)) t = Table(x,{'F':(3,3),'v':(3,)},['random test data']) unsort = t.get('4_F') - t.sort_by('4_F') - sort = t.get('4_F') + sort = t.sort_by('4_F').get('4_F') assert np.all(np.sort(unsort,0)==sort) def test_sort_revert(self): x = np.random.random((5,12)) t = Table(x,{'F':(3,3),'v':(3,)},['random test data']) - t.sort_by('4_F',ascending=False) - sort = t.get('4_F') + sort = t.sort_by('4_F',ascending=False).get('4_F') assert np.all(np.sort(sort,0)==sort[::-1,:]) def test_sort(self): t = Table(np.array([[0,1,],[2,1,]]), {'v':(2,)}, - ['test data']) - t.add('s',np.array(['b','a'])) - t.sort_by('s') + ['test data'])\ + .add('s',np.array(['b','a']))\ + .sort_by('s') assert np.all(t.get('1_v') == np.array([2,0]).reshape(2,1)) diff --git a/python/tests/test_VTK.py b/python/tests/test_VTK.py index 627ea4007..63adb6454 100644 --- a/python/tests/test_VTK.py +++ b/python/tests/test_VTK.py @@ -1,34 +1,54 @@ import os +import filecmp +import time import pytest import numpy as np from damask import VTK +from damask import grid_filters @pytest.fixture def reference_dir(reference_dir_base): """Directory containing reference results.""" - return os.path.join(reference_dir_base,'Result') + return reference_dir_base/'VTK' + +@pytest.fixture +def default(): + """Simple VTK.""" + grid = np.array([5,6,7],int) + size = np.array([.6,1.,.5]) + return VTK.from_rectilinear_grid(grid,size) class TestVTK: + @pytest.fixture(autouse=True) + def _execution_stamp(self, execution_stamp): + print('patched damask.util.execution_stamp') + def test_rectilinearGrid(self,tmp_path): grid = np.random.randint(5,10,3)*2 size = np.random.random(3) + 1.0 origin = np.random.random(3) - v = VTK.from_rectilinearGrid(grid,size,origin) - s = v.__repr__() - v.write(os.path.join(tmp_path,'rectilinearGrid')) - v = VTK.from_file(os.path.join(tmp_path,'rectilinearGrid.vtr')) - assert(s == v.__repr__()) + v = VTK.from_rectilinear_grid(grid,size,origin) + string = v.__repr__() + v.save(tmp_path/'rectilinearGrid',False) + vtr = VTK.load(tmp_path/'rectilinearGrid.vtr') + with open(tmp_path/'rectilinearGrid.vtk','w') as f: + f.write(string) + vtk = VTK.load(tmp_path/'rectilinearGrid.vtk','VTK_rectilinearGrid') + assert(string == vtr.__repr__() == vtk.__repr__()) def test_polyData(self,tmp_path): - points = np.random.rand(3,100) - v = VTK.from_polyData(points) - s = v.__repr__() - v.write(os.path.join(tmp_path,'polyData')) - v = VTK.from_file(os.path.join(tmp_path,'polyData.vtp')) - assert(s == v.__repr__()) + points = np.random.rand(100,3) + v = VTK.from_poly_data(points) + string = v.__repr__() + v.save(tmp_path/'polyData',False) + vtp = VTK.load(tmp_path/'polyData.vtp') + with open(tmp_path/'polyData.vtk','w') as f: + f.write(string) + vtk = VTK.load(tmp_path/'polyData.vtk','polyData') + assert(string == vtp.__repr__() == vtk.__repr__()) @pytest.mark.parametrize('cell_type,n',[ ('VTK_hexahedron',8), @@ -40,8 +60,87 @@ class TestVTK: def test_unstructuredGrid(self,tmp_path,cell_type,n): nodes = np.random.rand(n,3) connectivity = np.random.choice(np.arange(n),n,False).reshape(-1,n) - v = VTK.from_unstructuredGrid(nodes,connectivity,cell_type) - s = v.__repr__() - v.write(os.path.join(tmp_path,'unstructuredGrid')) - v = VTK.from_file(os.path.join(tmp_path,'unstructuredGrid.vtu')) - assert(s == v.__repr__()) + v = VTK.from_unstructured_grid(nodes,connectivity,cell_type) + string = v.__repr__() + v.save(tmp_path/'unstructuredGrid',False) + vtu = VTK.load(tmp_path/'unstructuredGrid.vtu') + with open(tmp_path/'unstructuredGrid.vtk','w') as f: + f.write(string) + vtk = VTK.load(tmp_path/'unstructuredGrid.vtk','unstructuredgrid') + assert(string == vtu.__repr__() == vtk.__repr__()) + + + def test_parallel_out(self,tmp_path): + points = np.random.rand(102,3) + v = VTK.from_poly_data(points) + fname_s = tmp_path/'single.vtp' + fname_p = tmp_path/'parallel.vtp' + v.save(fname_s,False) + v.save(fname_p,True) + for i in range(10): + if os.path.isfile(fname_p) and filecmp.cmp(fname_s,fname_p): + assert(True) + return + time.sleep(.5) + assert(False) + + + @pytest.mark.parametrize('name,dataset_type',[('this_file_does_not_exist.vtk', None), + ('this_file_does_not_exist.vtk','vtk'), + ('this_file_does_not_exist.vtx', None)]) + def test_invalid_dataset_type(self,name,dataset_type): + with pytest.raises(TypeError): + VTK.load(name,dataset_type) + + def test_invalid_extension_write(self,default): + with pytest.raises(ValueError): + default.save('default.txt') + + def test_invalid_get(self,default): + with pytest.raises(ValueError): + default.get('does_not_exist') + + def test_invalid_add_shape(self,default): + with pytest.raises(ValueError): + default.add(np.ones(3),'valid') + + def test_invalid_add_missing_label(self,default): + data = np.random.randint(9,size=np.prod(np.array(default.vtk_data.GetDimensions())-1)) + with pytest.raises(ValueError): + default.add(data) + + def test_invalid_add_type(self,default): + with pytest.raises(TypeError): + default.add('invalid_type','valid') + + def test_comments(self,tmp_path,default): + default.add_comments(['this is a comment']) + default.save(tmp_path/'with_comments',parallel=False) + new = VTK.load(tmp_path/'with_comments.vtr') + assert new.get_comments() == ['this is a comment'] + + def test_compare_reference_polyData(self,update,reference_dir,tmp_path): + points=np.dstack((np.linspace(0.,1.,10),np.linspace(0.,2.,10),np.linspace(-1.,1.,10))).squeeze() + polyData = VTK.from_poly_data(points) + polyData.add(points,'coordinates') + if update: + polyData.save(reference_dir/'polyData') + else: + reference = VTK.load(reference_dir/'polyData.vtp') + assert polyData.__repr__() == reference.__repr__() and \ + np.allclose(polyData.get('coordinates'),points) + + def test_compare_reference_rectilinearGrid(self,update,reference_dir,tmp_path): + grid = np.array([5,6,7],int) + size = np.array([.6,1.,.5]) + rectilinearGrid = VTK.from_rectilinear_grid(grid,size) + c = grid_filters.cell_coord0(grid,size).reshape(-1,3,order='F') + n = grid_filters.node_coord0(grid,size).reshape(-1,3,order='F') + rectilinearGrid.add(c,'cell') + rectilinearGrid.add(n,'node') + if update: + rectilinearGrid.save(reference_dir/'rectilinearGrid') + else: + reference = VTK.load(reference_dir/'rectilinearGrid.vtr') + assert rectilinearGrid.__repr__() == reference.__repr__() and \ + np.allclose(rectilinearGrid.get('cell'),c) diff --git a/python/tests/test_grid_filters.py b/python/tests/test_grid_filters.py index ab60c0446..3acb554a7 100644 --- a/python/tests/test_grid_filters.py +++ b/python/tests/test_grid_filters.py @@ -30,8 +30,8 @@ class TestGridFilters: grid = np.random.randint(8,32,(3)) size = np.random.random(3) origin = np.random.random(3) - coord0 = eval('grid_filters.{}_coord0(grid,size,origin)'.format(mode)) # noqa - _grid,_size,_origin = eval('grid_filters.{}_coord0_gridSizeOrigin(coord0.reshape(-1,3,order="F"))'.format(mode)) + coord0 = eval(f'grid_filters.{mode}_coord0(grid,size,origin)') # noqa + _grid,_size,_origin = eval(f'grid_filters.{mode}_coord0_gridSizeOrigin(coord0.reshape(-1,3,order="F"))') assert np.allclose(grid,_grid) and np.allclose(size,_size) and np.allclose(origin,_origin) def test_displacement_fluct_equivalence(self): @@ -42,20 +42,33 @@ class TestGridFilters: assert np.allclose(grid_filters.node_displacement_fluct(size,F), grid_filters.cell_2_node(grid_filters.cell_displacement_fluct(size,F))) - def test_interpolation_nonperiodic(self): + def test_interpolation_to_node(self): size = np.random.random(3) grid = np.random.randint(8,32,(3)) F = np.random.random(tuple(grid)+(3,3)) - assert np.allclose(grid_filters.node_coord(size,F) [1:-1,1:-1,1:-1],grid_filters.cell_2_node( - grid_filters.cell_coord(size,F))[1:-1,1:-1,1:-1]) + assert np.allclose(grid_filters.node_coord(size,F) [1:-1,1:-1,1:-1], + grid_filters.cell_2_node(grid_filters.cell_coord(size,F))[1:-1,1:-1,1:-1]) + + def test_interpolation_to_cell(self): + grid = np.random.randint(1,30,(3)) + + node_coord_x = np.linspace(0,np.pi*2,num=grid[0]+1) + node_field_x = np.cos(node_coord_x) + node_field = np.broadcast_to(node_field_x.reshape(-1,1,1),grid+1) + + cell_coord_x = node_coord_x[:-1]+node_coord_x[1]*.5 + cell_field_x = np.interp(cell_coord_x,node_coord_x,node_field_x,period=np.pi*2.) + cell_field = np.broadcast_to(cell_field_x.reshape(-1,1,1),grid) + + assert np.allclose(cell_field,grid_filters.node_2_cell(node_field)) @pytest.mark.parametrize('mode',['cell','node']) def test_coord0_origin(self,mode): origin= np.random.random(3) size = np.random.random(3) # noqa grid = np.random.randint(8,32,(3)) - shifted = eval('grid_filters.{}_coord0(grid,size,origin)'.format(mode)) - unshifted = eval('grid_filters.{}_coord0(grid,size)'.format(mode)) + shifted = eval(f'grid_filters.{mode}_coord0(grid,size,origin)') + unshifted = eval(f'grid_filters.{mode}_coord0(grid,size)') if mode == 'cell': assert np.allclose(shifted,unshifted+np.broadcast_to(origin,tuple(grid) +(3,))) elif mode == 'node': diff --git a/python/tests/test_mechanics.py b/python/tests/test_mechanics.py index cba5a206c..9bcf6c6dc 100644 --- a/python/tests/test_mechanics.py +++ b/python/tests/test_mechanics.py @@ -187,25 +187,25 @@ class TestMechanics: assert np.allclose(np.matmul(R,U), np.matmul(V,R)) - def test_strain_tensor_no_rotation(self): + @pytest.mark.parametrize('m',[0.0,np.random.random()*10.,np.random.random()*-10.]) + def test_strain_tensor_no_rotation(self,m): """Ensure that left and right stretch give same results for no rotation.""" F = np.broadcast_to(np.eye(3),[self.n,3,3])*np.random.rand(self.n,3,3) - m = np.random.random()*20.0-10.0 assert np.allclose(mechanics.strain_tensor(F,'U',m), mechanics.strain_tensor(F,'V',m)) - def test_strain_tensor_rotation_equivalence(self): + @pytest.mark.parametrize('m',[0.0,np.random.random()*2.5,np.random.random()*-2.5]) + def test_strain_tensor_rotation_equivalence(self,m): """Ensure that left and right strain differ only by a rotation.""" F = np.broadcast_to(np.eye(3),[self.n,3,3]) + (np.random.rand(self.n,3,3)*0.5 - 0.25) - m = np.random.random()*5.0-2.5 assert np.allclose(np.linalg.det(mechanics.strain_tensor(F,'U',m)), np.linalg.det(mechanics.strain_tensor(F,'V',m))) - def test_strain_tensor_rotation(self): + @pytest.mark.parametrize('m',[0.0,np.random.random(),np.random.random()*-1.]) + @pytest.mark.parametrize('t',['V','U']) + def test_strain_tensor_rotation(self,m,t): """Ensure that pure rotation results in no strain.""" F = mechanics.rotational_part(np.random.rand(self.n,3,3)) - t = ['V','U'][np.random.randint(0,2)] - m = np.random.random()*2.0 - 1.0 assert np.allclose(mechanics.strain_tensor(F,t,m), 0.0) diff --git a/python/tests/test_seeds.py b/python/tests/test_seeds.py new file mode 100644 index 000000000..c9ad6f0e3 --- /dev/null +++ b/python/tests/test_seeds.py @@ -0,0 +1,62 @@ +import pytest +import numpy as np +from scipy.spatial import cKDTree + +from damask import seeds +from damask import grid_filters +from damask import Geom + +class TestSeeds: + + @pytest.mark.parametrize('grid',[None,np.ones(3,dtype='i')*10]) + def test_from_random(self,grid): + N_seeds = np.random.randint(30,300) + size = np.ones(3) + np.random.random(3) + coords = seeds.from_random(size,N_seeds,grid) + assert (0<=coords).all() and (coords=distance + + def test_from_geom_reconstruct(self): + grid = np.random.randint(10,20,3) + N_seeds = np.random.randint(30,300) + size = np.ones(3) + np.random.random(3) + coords = seeds.from_random(size,N_seeds,grid) + geom_1 = Geom.from_Voronoi_tessellation(grid,size,coords) + coords,material = seeds.from_geom(geom_1) + geom_2 = Geom.from_Voronoi_tessellation(grid,size,coords,material) + assert (geom_2.material==geom_1.material).all() + + @pytest.mark.parametrize('periodic',[True,False]) + @pytest.mark.parametrize('average',[True,False]) + def test_from_geom_grid(self,periodic,average): + grid = np.random.randint(10,20,3) + size = np.ones(3) + np.random.random(3) + coords = grid_filters.cell_coord0(grid,size).reshape(-1,3) + np.random.shuffle(coords) + geom_1 = Geom.from_Voronoi_tessellation(grid,size,coords) + coords,material = seeds.from_geom(geom_1,average=average,periodic=periodic) + geom_2 = Geom.from_Voronoi_tessellation(grid,size,coords,material) + assert (geom_2.material==geom_1.material).all() + + @pytest.mark.parametrize('periodic',[True,False]) + @pytest.mark.parametrize('average',[True,False]) + @pytest.mark.parametrize('invert',[True,False]) + def test_from_geom_selection(self,periodic,average,invert): + grid = np.random.randint(10,20,3) + N_seeds = np.random.randint(30,300) + size = np.ones(3) + np.random.random(3) + coords = seeds.from_random(size,N_seeds,grid) + geom = Geom.from_Voronoi_tessellation(grid,size,coords) + selection=np.random.randint(N_seeds)+1 + coords,material = seeds.from_geom(geom,average=average,periodic=periodic,invert=invert,selection=[selection]) + assert selection not in material if invert else (selection==material).all() diff --git a/python/tests/test_util.py b/python/tests/test_util.py new file mode 100644 index 000000000..0b5593e8e --- /dev/null +++ b/python/tests/test_util.py @@ -0,0 +1,46 @@ +import pytest +import numpy as np +from scipy import stats + +from damask import util + + +class TestUtil: + + def test_execute_direct(self): + out,err = util.execute('echo test') + assert out=='test\n' and err=='' + + def test_execute_env(self): + out,err = util.execute('sh -c "echo $test_for_execute"',env={'test_for_execute':'test'}) + assert out=='test\n' and err=='' + + def test_croak(self): + util.croak('Burp!') + + @pytest.mark.parametrize('input,output', + [ + ([0,-2],[0,-1]), + ([-0.5,0.5],[-1,1]), + ([1./2.,1./3.],[3,2]), + ([2./3.,1./2.,1./3.],[4,3,2]), + ]) + + def test_scale2coprime(self,input,output): + assert np.allclose(util.scale_to_coprime(np.array(input)), + np.array(output).astype(int)) + + def test_lackofprecision(self): + with pytest.raises(ValueError): + util.scale_to_coprime(np.array([1/333.333,1,1])) + + + @pytest.mark.parametrize('rv',[stats.rayleigh(),stats.weibull_min(1.2),stats.halfnorm(),stats.pareto(2.62)]) + def test_hybridIA(self,rv): + bins = np.linspace(0,10,100000) + centers = (bins[1:]+bins[:-1])/2 + N_samples = bins.shape[0]-1000 + dist = rv.pdf(centers) + selected = util.hybrid_IA(dist,N_samples) + dist_sampled = np.histogram(centers[selected],bins)[0]/N_samples*np.sum(dist) + assert np.sqrt(((dist - dist_sampled) ** 2).mean()) < .025 and selected.shape[0]==N_samples diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index 53c7ffc70..0cb697013 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -17,10 +17,10 @@ if (PROJECT_NAME STREQUAL "damask-grid") file(GLOB grid-sources grid/*.f90) if(NOT CMAKE_BUILD_TYPE STREQUAL "SYNTAXONLY") - add_executable(DAMASK_spectral ${damask-sources} ${grid-sources}) - install (TARGETS DAMASK_spectral RUNTIME DESTINATION bin) + add_executable(DAMASK_grid ${damask-sources} ${grid-sources}) + install (TARGETS DAMASK_grid RUNTIME DESTINATION bin) else() - add_library(DAMASK_spectral OBJECT ${damask-sources} ${grid-sources}) + add_library(DAMASK_grid OBJECT ${damask-sources} ${grid-sources}) exec_program (mktemp OUTPUT_VARIABLE nothing) exec_program (mktemp ARGS -d OUTPUT_VARIABLE black_hole) install (PROGRAMS ${nothing} DESTINATION ${black_hole}) @@ -30,7 +30,7 @@ elseif (PROJECT_NAME STREQUAL "damask-mesh") file(GLOB mesh-sources mesh/*.f90) - add_executable(DAMASK_FEM ${damask-sources} ${mesh-sources}) - install (TARGETS DAMASK_FEM RUNTIME DESTINATION bin) + add_executable(DAMASK_mesh ${damask-sources} ${mesh-sources}) + install (TARGETS DAMASK_mesh RUNTIME DESTINATION bin) endif() diff --git a/src/CPFEM.f90 b/src/CPFEM.f90 index 2987d55f9..c49ecbcb6 100644 --- a/src/CPFEM.f90 +++ b/src/CPFEM.f90 @@ -5,12 +5,11 @@ !-------------------------------------------------------------------------------------------------- module CPFEM use prec - use numerics - use debug use FEsolving use math use rotations use YAML_types + use YAML_parse use discretization_marc use material use config @@ -19,7 +18,6 @@ module CPFEM use IO use discretization use DAMASK_interface - use numerics use HDF5_utilities use results use lattice @@ -34,29 +32,34 @@ module CPFEM CPFEM_dcsdE !< Cauchy stress tangent real(pReal), dimension (:,:,:,:), allocatable, private :: & CPFEM_dcsdE_knownGood !< known good tangent - integer(pInt), public :: & - cycleCounter = 0_pInt, & !< needs description - theInc = -1_pInt, & !< needs description - lastLovl = 0_pInt !< lovl in previous call to marc hypela2 - real(pReal), public :: & - theTime = 0.0_pReal, & !< needs description - theDelta = 0.0_pReal - logical, public :: & - outdatedFFN1 = .false., & !< needs description - lastIncConverged = .false., & !< needs description - outdatedByNewInc = .false. !< needs description - logical, public, protected :: & - CPFEM_init_done = .false. !< remember whether init has been done already - logical, private :: & - CPFEM_calc_done = .false. !< remember whether first ip has already calced the results + integer(pInt), public :: & + cycleCounter = 0_pInt !< needs description integer(pInt), parameter, public :: & - CPFEM_COLLECT = 2_pInt**0_pInt, & - CPFEM_CALCRESULTS = 2_pInt**1_pInt, & - CPFEM_AGERESULTS = 2_pInt**2_pInt, & - CPFEM_BACKUPJACOBIAN = 2_pInt**3_pInt, & - CPFEM_RESTOREJACOBIAN = 2_pInt**4_pInt + CPFEM_CALCRESULTS = 2_pInt**0_pInt, & + CPFEM_AGERESULTS = 2_pInt**1_pInt, & + CPFEM_BACKUPJACOBIAN = 2_pInt**2_pInt, & + CPFEM_RESTOREJACOBIAN = 2_pInt**3_pInt + + type, private :: tNumerics + integer :: & + iJacoStiffness !< frequency of stiffness update + end type tNumerics + + type(tNumerics), private :: num + + type, private :: tDebugOptions + logical :: & + basic, & + extensive, & + selective + integer:: & + element, & + ip + end type tDebugOptions + + type(tDebugOptions), private :: debugCPFEM public :: & CPFEM_general, & @@ -67,32 +70,29 @@ contains !-------------------------------------------------------------------------------------------------- -!> @brief call (thread safe) all module initializations +!> @brief call all module initializations !-------------------------------------------------------------------------------------------------- -subroutine CPFEM_initAll(el,ip) - - integer(pInt), intent(in) :: el, & !< FE el number - ip !< FE integration point number +subroutine CPFEM_initAll - CPFEM_init_done = .true. + call parallelization_init call DAMASK_interface_init call prec_init call IO_init - call numerics_init - call debug_init + call YAML_types_init + call YAML_parse_init call config_init call math_init call rotations_init - call YAML_types_init call HDF5_utilities_init - call results_init - call discretization_marc_init(ip, el) + call results_init(.false.) + call discretization_marc_init call lattice_init - call material_init + call material_init(.false.) call constitutive_init call crystallite_init call homogenization_init call CPFEM_init + call config_deallocate end subroutine CPFEM_initAll @@ -102,18 +102,30 @@ end subroutine CPFEM_initAll !-------------------------------------------------------------------------------------------------- subroutine CPFEM_init - write(6,'(/,a)') ' <<<+- CPFEM init -+>>>' - flush(6) + class(tNode), pointer :: & + debug_CPFEM - allocate(CPFEM_cs( 6,discretization_nIP,discretization_nElem), source= 0.0_pReal) - allocate(CPFEM_dcsdE( 6,6,discretization_nIP,discretization_nElem), source= 0.0_pReal) - allocate(CPFEM_dcsdE_knownGood(6,6,discretization_nIP,discretization_nElem), source= 0.0_pReal) + print'(/,a)', ' <<<+- CPFEM init -+>>>'; flush(IO_STDOUT) - if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0) then - write(6,'(a32,1x,6(i8,1x))') 'CPFEM_cs: ', shape(CPFEM_cs) - write(6,'(a32,1x,6(i8,1x))') 'CPFEM_dcsdE: ', shape(CPFEM_dcsdE) - write(6,'(a32,1x,6(i8,1x),/)') 'CPFEM_dcsdE_knownGood: ', shape(CPFEM_dcsdE_knownGood) - flush(6) + allocate(CPFEM_cs( 6,discretization_nIPs,discretization_Nelems), source= 0.0_pReal) + allocate(CPFEM_dcsdE( 6,6,discretization_nIPs,discretization_Nelems), source= 0.0_pReal) + allocate(CPFEM_dcsdE_knownGood(6,6,discretization_nIPs,discretization_Nelems), source= 0.0_pReal) + +!------------------------------------------------------------------------------ +! read debug options + + debug_CPFEM => config_debug%get('cpfem',defaultVal=emptyList) + debugCPFEM%basic = debug_CPFEM%contains('basic') + debugCPFEM%extensive = debug_CPFEM%contains('extensive') + debugCPFEM%selective = debug_CPFEM%contains('selective') + debugCPFEM%element = config_debug%get_asInt('element',defaultVal = 1) + debugCPFEM%ip = config_debug%get_asInt('integrationpoint',defaultVal = 1) + + if(debugCPFEM%basic) then + print'(a32,1x,6(i8,1x))', 'CPFEM_cs: ', shape(CPFEM_cs) + print'(a32,1x,6(i8,1x))', 'CPFEM_dcsdE: ', shape(CPFEM_dcsdE) + print'(a32,1x,6(i8,1x),/)', 'CPFEM_dcsdE_knownGood: ', shape(CPFEM_dcsdE_knownGood) + flush(IO_STDOUT) endif end subroutine CPFEM_init @@ -122,7 +134,7 @@ end subroutine CPFEM_init !-------------------------------------------------------------------------------------------------- !> @brief perform initialization at first call, update variables and call the actual material model !-------------------------------------------------------------------------------------------------- -subroutine CPFEM_general(mode, parallelExecution, ffn, ffn1, temperature_inp, dt, elFE, ip, cauchyStress, jacobian) +subroutine CPFEM_general(mode, ffn, ffn1, temperature_inp, dt, elFE, ip, cauchyStress, jacobian) integer(pInt), intent(in) :: elFE, & !< FE element number ip !< integration point number @@ -131,194 +143,113 @@ subroutine CPFEM_general(mode, parallelExecution, ffn, ffn1, temperature_inp, dt ffn1 !< deformation gradient for t=t1 integer(pInt), intent(in) :: mode !< computation mode 1: regular computation plus aging of results real(pReal), intent(in) :: temperature_inp !< temperature - logical, intent(in) :: parallelExecution !< flag indicating parallel computation of requested IPs real(pReal), dimension(6), intent(out) :: cauchyStress !< stress as 6 vector real(pReal), dimension(6,6), intent(out) :: jacobian !< jacobian as 66 tensor (Consistent tangent dcs/dE) - + real(pReal) J_inverse, & ! inverse of Jacobian rnd - real(pReal), dimension (3,3) :: Kirchhoff, & ! Piola-Kirchhoff stress - cauchyStress33 ! stress vector + real(pReal), dimension (3,3) :: Kirchhoff ! Piola-Kirchhoff stress real(pReal), dimension (3,3,3,3) :: H_sym, & - H, & - jacobian3333 ! jacobian in Matrix notation - + H + integer(pInt) elCP, & ! crystal plasticity element number i, j, k, l, m, n, ph, homog, mySource - logical updateJaco ! flag indicating if Jacobian has to be updated - - real(pReal), parameter :: ODD_STRESS = 1e15_pReal, & !< return value for stress in case of ping pong dummy cycle - ODD_JACOBIAN = 1e50_pReal !< return value for jacobian in case of ping pong dummy cycle - + + real(pReal), parameter :: ODD_STRESS = 1e15_pReal, & !< return value for stress if terminallyIll + ODD_JACOBIAN = 1e50_pReal !< return value for jacobian if terminallyIll + + elCP = mesh_FEM2DAMASK_elem(elFE) - - if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt & - .and. elCP == debug_e .and. ip == debug_i) then - write(6,'(/,a)') '#############################################' - write(6,'(a1,a22,1x,i8,a13)') '#','element', elCP, '#' - write(6,'(a1,a22,1x,i8,a13)') '#','ip', ip, '#' - write(6,'(a1,a22,1x,f15.7,a6)') '#','theTime', theTime, '#' - write(6,'(a1,a22,1x,f15.7,a6)') '#','theDelta', theDelta, '#' - write(6,'(a1,a22,1x,i8,a13)') '#','theInc', theInc, '#' - write(6,'(a1,a22,1x,i8,a13)') '#','cycleCounter', cycleCounter, '#' - write(6,'(a1,a22,1x,i8,a13)') '#','computationMode',mode, '#' + + if (debugCPFEM%basic .and. elCP == debugCPFEM%element .and. ip == debugCPFEM%ip) then + print'(/,a)', '#############################################' + print'(a1,a22,1x,i8,a13)', '#','element', elCP, '#' + print'(a1,a22,1x,i8,a13)', '#','ip', ip, '#' + print'(a1,a22,1x,i8,a13)', '#','cycleCounter', cycleCounter, '#' + print'(a1,a22,1x,i8,a13)', '#','computationMode',mode, '#' if (terminallyIll) & - write(6,'(a,/)') '# --- terminallyIll --- #' - write(6,'(a,/)') '#############################################'; flush (6) + print'(a,/)', '# --- terminallyIll --- #' + print'(a,/)', '#############################################'; flush (6) endif - + if (iand(mode, CPFEM_BACKUPJACOBIAN) /= 0_pInt) & CPFEM_dcsde_knownGood = CPFEM_dcsde if (iand(mode, CPFEM_RESTOREJACOBIAN) /= 0_pInt) & CPFEM_dcsde = CPFEM_dcsde_knownGood - - !*** age results + if (iand(mode, CPFEM_AGERESULTS) /= 0_pInt) call CPFEM_forward - - - !*** collection of FEM input with returning of randomize odd stress and jacobian - !* If no parallel execution is required, there is no need to collect FEM input - if (.not. parallelExecution) then + chosenThermal1: select case (thermal_type(material_homogenizationAt(elCP))) case (THERMAL_conduction_ID) chosenThermal1 temperature(material_homogenizationAt(elCP))%p(thermalMapping(material_homogenizationAt(elCP))%p(ip,elCP)) = & temperature_inp end select chosenThermal1 - materialpoint_F0(1:3,1:3,ip,elCP) = ffn - materialpoint_F(1:3,1:3,ip,elCP) = ffn1 - - elseif (iand(mode, CPFEM_COLLECT) /= 0_pInt) then - call random_number(rnd) - if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal - CPFEM_cs(1:6,ip,elCP) = rnd * ODD_STRESS - CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6) - chosenThermal2: select case (thermal_type(material_homogenizationAt(elCP))) - case (THERMAL_conduction_ID) chosenThermal2 - temperature(material_homogenizationAt(elCP))%p(thermalMapping(material_homogenizationAt(elCP))%p(ip,elCP)) = & - temperature_inp - end select chosenThermal2 - materialpoint_F0(1:3,1:3,ip,elCP) = ffn - materialpoint_F(1:3,1:3,ip,elCP) = ffn1 - CPFEM_calc_done = .false. - endif - - - !*** calculation of stress and jacobian + homogenization_F0(1:3,1:3,ip,elCP) = ffn + homogenization_F(1:3,1:3,ip,elCP) = ffn1 + if (iand(mode, CPFEM_CALCRESULTS) /= 0_pInt) then - - !*** deformation gradient outdated or any actual deformation gradient differs more than relevantStrain from the stored one - validCalculation: if (terminallyIll & - .or. outdatedFFN1 & - .or. any(abs(ffn1 - materialpoint_F(1:3,1:3,ip,elCP)) > defgradTolerance)) then - if (any(abs(ffn1 - materialpoint_F(1:3,1:3,ip,elCP)) > defgradTolerance)) then - if (iand(debug_level(debug_CPFEM), debug_levelBasic) /= 0_pInt) then - write(6,'(a,1x,i8,1x,i2)') '<< CPFEM >> OUTDATED at elFE ip',elFE,ip - write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 old:',& - transpose(materialpoint_F(1:3,1:3,ip,elCP)) - write(6,'(a,/,3(12x,3(f10.6,1x),/))') '<< CPFEM >> FFN1 now:',transpose(ffn1) - endif - outdatedFFN1 = .true. - endif + + validCalculation: if (terminallyIll) then call random_number(rnd) if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd - CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6) - - !*** deformation gradient is not outdated + CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_eye(6) + else validCalculation - updateJaco = mod(cycleCounter,iJacoStiffness) == 0 - !* no parallel computation, so we use just one single elFE and ip for computation - if (.not. parallelExecution) then - FEsolving_execElem = elCP - FEsolving_execIP = ip - if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) & - write(6,'(a,i8,1x,i2)') '<< CPFEM >> calculation for elFE ip ',elFE,ip - call materialpoint_stressAndItsTangent(updateJaco, dt) - - !* parallel computation and calulation not yet done - elseif (.not. CPFEM_calc_done) then - if (iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) & - write(6,'(a,i8,a,i8)') '<< CPFEM >> calculation for elements ',FEsolving_execElem(1),& - ' to ',FEsolving_execElem(2) - call materialpoint_stressAndItsTangent(updateJaco, dt) - CPFEM_calc_done = .true. - endif - - !* map stress and stiffness (or return odd values if terminally ill) + FEsolving_execElem = elCP + FEsolving_execIP = ip + if (debugCPFEM%extensive) & + print'(a,i8,1x,i2)', '<< CPFEM >> calculation for elFE ip ',elFE,ip + call materialpoint_stressAndItsTangent(dt) + terminalIllness: if (terminallyIll) then - + call random_number(rnd) if (rnd < 0.5_pReal) rnd = rnd - 1.0_pReal CPFEM_cs(1:6,ip,elCP) = ODD_STRESS * rnd - CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_identity2nd(6) - + CPFEM_dcsde(1:6,1:6,ip,elCP) = ODD_JACOBIAN * math_eye(6) + else terminalIllness - - ! translate from P to CS - Kirchhoff = matmul(materialpoint_P(1:3,1:3,ip,elCP), transpose(materialpoint_F(1:3,1:3,ip,elCP))) - J_inverse = 1.0_pReal / math_det33(materialpoint_F(1:3,1:3,ip,elCP)) + + ! translate from P to sigma + Kirchhoff = matmul(homogenization_P(1:3,1:3,ip,elCP), transpose(homogenization_F(1:3,1:3,ip,elCP))) + J_inverse = 1.0_pReal / math_det33(homogenization_F(1:3,1:3,ip,elCP)) CPFEM_cs(1:6,ip,elCP) = math_sym33to6(J_inverse * Kirchhoff,weighted=.false.) - + ! translate from dP/dF to dCS/dE H = 0.0_pReal do i=1,3; do j=1,3; do k=1,3; do l=1,3; do m=1,3; do n=1,3 H(i,j,k,l) = H(i,j,k,l) & - + materialpoint_F(j,m,ip,elCP) * materialpoint_F(l,n,ip,elCP) & - * materialpoint_dPdF(i,m,k,n,ip,elCP) & - - math_delta(j,l) * materialpoint_F(i,m,ip,elCP) * materialpoint_P(k,m,ip,elCP) & + + homogenization_F(j,m,ip,elCP) * homogenization_F(l,n,ip,elCP) & + * homogenization_dPdF(i,m,k,n,ip,elCP) & + - math_delta(j,l) * homogenization_F(i,m,ip,elCP) * homogenization_P(k,m,ip,elCP) & + 0.5_pReal * ( Kirchhoff(j,l)*math_delta(i,k) + Kirchhoff(i,k)*math_delta(j,l) & + Kirchhoff(j,k)*math_delta(i,l) + Kirchhoff(i,l)*math_delta(j,k)) enddo; enddo; enddo; enddo; enddo; enddo - + forall(i=1:3, j=1:3,k=1:3,l=1:3) & H_sym(i,j,k,l) = 0.25_pReal * (H(i,j,k,l) + H(j,i,k,l) + H(i,j,l,k) + H(j,i,l,k)) - + CPFEM_dcsde(1:6,1:6,ip,elCP) = math_sym3333to66(J_inverse * H_sym,weighted=.false.) - + endif terminalIllness endif validCalculation - - !* report stress and stiffness - if ((iand(debug_level(debug_CPFEM), debug_levelExtensive) /= 0_pInt) & - .and. ((debug_e == elCP .and. debug_i == ip) & - .or. .not. iand(debug_level(debug_CPFEM), debug_levelSelective) /= 0_pInt)) then - write(6,'(a,i8,1x,i2,/,12x,6(f10.3,1x)/)') & + + if (debugCPFEM%extensive & + .and. ((debugCPFEM%element == elCP .and. debugCPFEM%ip == ip) .or. .not. debugCPFEM%selective)) then + print'(a,i8,1x,i2,/,12x,6(f10.3,1x)/)', & '<< CPFEM >> stress/MPa at elFE ip ', elFE, ip, CPFEM_cs(1:6,ip,elCP)*1.0e-6_pReal - write(6,'(a,i8,1x,i2,/,6(12x,6(f10.3,1x)/))') & + print'(a,i8,1x,i2,/,6(12x,6(f10.3,1x)/))', & '<< CPFEM >> Jacobian/GPa at elFE ip ', elFE, ip, transpose(CPFEM_dcsdE(1:6,1:6,ip,elCP))*1.0e-9_pReal - flush(6) + flush(IO_STDOUT) endif - + endif - - !*** warn if stiffness close to zero + if (all(abs(CPFEM_dcsdE(1:6,1:6,ip,elCP)) < 1e-10_pReal)) call IO_warning(601,elCP,ip) - - !*** copy to output if using commercial FEM solver + cauchyStress = CPFEM_cs (1:6, ip,elCP) jacobian = CPFEM_dcsdE(1:6,1:6,ip,elCP) - - - !*** remember extreme values of stress ... - cauchyStress33 = math_6toSym33(CPFEM_cs(1:6,ip,elCP),weighted=.false.) - if (maxval(cauchyStress33) > debug_stressMax) then - debug_stressMaxLocation = [elCP, ip] - debug_stressMax = maxval(cauchyStress33) - endif - if (minval(cauchyStress33) < debug_stressMin) then - debug_stressMinLocation = [elCP, ip] - debug_stressMin = minval(cauchyStress33) - endif - !*** ... and Jacobian - jacobian3333 = math_66toSym3333(CPFEM_dcsdE(1:6,1:6,ip,elCP),weighted=.false.) - if (maxval(jacobian3333) > debug_jacobianMax) then - debug_jacobianMaxLocation = [elCP, ip] - debug_jacobianMax = maxval(jacobian3333) - endif - if (minval(jacobian3333) < debug_jacobianMin) then - debug_jacobianMinLocation = [elCP, ip] - debug_jacobianMin = minval(jacobian3333) - endif end subroutine CPFEM_general diff --git a/src/CPFEM2.f90 b/src/CPFEM2.f90 index 9f61e4ebd..994859758 100644 --- a/src/CPFEM2.f90 +++ b/src/CPFEM2.f90 @@ -5,16 +5,16 @@ !-------------------------------------------------------------------------------------------------- module CPFEM2 use prec - use numerics - use debug use config use FEsolving use math use rotations use YAML_types + use YAML_parse use material use lattice use IO + use base64 use DAMASK_interface use results use discretization @@ -22,7 +22,7 @@ module CPFEM2 use homogenization use constitutive use crystallite -#if defined(FEM) +#if defined(Mesh) use FEM_quadrature use discretization_mesh #elif defined(Grid) @@ -40,31 +40,33 @@ contains !-------------------------------------------------------------------------------------------------- subroutine CPFEM_initAll + call parallelization_init call DAMASK_interface_init ! Spectral and FEM interface to commandline call prec_init call IO_init -#ifdef FEM + call base64_init +#ifdef Mesh call FEM_quadrature_init #endif - call numerics_init - call debug_init + call YAML_types_init + call YAML_parse_init call config_init call math_init call rotations_init - call YAML_types_init call lattice_init call HDF5_utilities_init - call results_init -#if defined(FEM) - call discretization_mesh_init + call results_init(restart=interface_restartInc>0) +#if defined(Mesh) + call discretization_mesh_init(restart=interface_restartInc>0) #elif defined(Grid) - call discretization_grid_init + call discretization_grid_init(restart=interface_restartInc>0) #endif - call material_init + call material_init(restart=interface_restartInc>0) call constitutive_init call crystallite_init call homogenization_init call CPFEM_init + call config_deallocate end subroutine CPFEM_initAll @@ -74,7 +76,7 @@ end subroutine CPFEM_initAll !-------------------------------------------------------------------------------------------------- subroutine CPFEM_init - write(6,'(/,a)') ' <<<+- CPFEM init -+>>>'; flush(6) + print'(/,a)', ' <<<+- CPFEM init -+>>>'; flush(IO_STDOUT) if (interface_restartInc > 0) call crystallite_restartRead diff --git a/src/C_routines.c b/src/C_routines.c index f8187bb56..98dc25e45 100644 --- a/src/C_routines.c +++ b/src/C_routines.c @@ -2,11 +2,11 @@ #include #include #include -#include -#include -#include #include #include +#include +#include +#include "zlib.h" /* http://stackoverflow.com/questions/30279228/is-there-an-alternative-to-getcwd-in-fortran-2003-2008 */ @@ -58,3 +58,17 @@ void signalusr1_c(void (*handler)(int)){ void signalusr2_c(void (*handler)(int)){ signal(SIGUSR2, handler); } + +void inflate_c(const uLong *s_deflated, const uLong *s_inflated, const Byte deflated[], Byte inflated[]){ + /* make writable copy, uncompress will write to it */ + uLong s_inflated_,i; + s_inflated_ = *s_inflated; + + if(uncompress((Bytef *)inflated, &s_inflated_, (Bytef *)deflated, *s_deflated) == Z_OK) + return; + else{ + for(i=0;i<*s_inflated;i++){ + inflated[i] = 0; + } + } +} diff --git a/src/DAMASK_interface.f90 b/src/DAMASK_interface.f90 index 00177fb75..52971ae06 100644 --- a/src/DAMASK_interface.f90 +++ b/src/DAMASK_interface.f90 @@ -6,41 +6,40 @@ !> @brief Interfacing between the PETSc-based solvers and the material subroutines provided !! by DAMASK !> @details Interfacing between the PETSc-based solvers and the material subroutines provided -!> by DAMASK. Interpretating the command line arguments to get load case, geometry file, +!> by DAMASK. Interpreting the command line arguments to get load case, geometry file, !> and working directory. !-------------------------------------------------------------------------------------------------- -#define GCC_MIN 6 -#define INTEL_MIN 1700 #define PETSC_MAJOR 3 #define PETSC_MINOR_MIN 10 -#define PETSC_MINOR_MAX 13 +#define PETSC_MINOR_MAX 14 module DAMASK_interface - use, intrinsic :: iso_fortran_env + use, intrinsic :: ISO_fortran_env use PETScSys use prec + use parallelization use system_routines - + implicit none private logical, volatile, public, protected :: & - SIGTERM, & !< termination signal - SIGUSR1, & !< 1. user-defined signal - SIGUSR2 !< 2. user-defined signal + interface_SIGTERM, & !< termination signal + interface_SIGUSR1, & !< 1. user-defined signal + interface_SIGUSR2 !< 2. user-defined signal integer, public, protected :: & interface_restartInc = 0 !< Increment at which calculation starts character(len=:), allocatable, public, protected :: & - geometryFile, & !< parameter given for geometry file - loadCaseFile !< parameter given for load case file + interface_geomFile, & !< parameter given for geometry file + interface_loadFile !< parameter given for load case file public :: & getSolverJobName, & DAMASK_interface_init, & - setSIGTERM, & - setSIGUSR1, & - setSIGUSR2 + interface_setSIGTERM, & + interface_setSIGUSR1, & + interface_setSIGUSR2 contains @@ -50,29 +49,6 @@ contains !-------------------------------------------------------------------------------------------------- subroutine DAMASK_interface_init #include -#if defined(__GFORTRAN__) && __GNUC__PETSC_MINOR_MAX =================================================================================================== @@ -97,195 +73,145 @@ subroutine DAMASK_interface_init userName !< name of user calling the executable integer :: & stat, & - i, & -#ifdef _OPENMP - threadLevel, & -#endif - worldrank = 0, & - worldsize = 0, & - typeSize + i integer, dimension(8) :: & dateAndTime - integer :: mpi_err - PetscErrorCode :: petsc_err + integer :: err external :: & quit - open(6, encoding='UTF-8') ! for special characters in output + print'(/,a)', ' <<<+- DAMASK_interface init -+>>>' -!-------------------------------------------------------------------------------------------------- -! PETSc Init -#ifdef _OPENMP - ! If openMP is enabled, check if the MPI libary supports it and initialize accordingly. - ! Otherwise, the first call to PETSc will do the initialization. - call MPI_Init_Thread(MPI_THREAD_FUNNELED,threadLevel,mpi_err) - if (mpi_err /= 0) call quit(1) - if (threadLevel>>' - - ! http://patorjk.com/software/taag/#p=display&f=Lean&t=DAMASK - write(6,*) achar(27)//'[94m' - write(6,*) ' _/_/_/ _/_/ _/ _/ _/_/ _/_/_/ _/ _/' - write(6,*) ' _/ _/ _/ _/ _/_/ _/_/ _/ _/ _/ _/ _/' - write(6,*) ' _/ _/ _/_/_/_/ _/ _/ _/ _/_/_/_/ _/_/ _/_/' - write(6,*) ' _/ _/ _/ _/ _/ _/ _/ _/ _/ _/ _/' - write(6,*) ' _/_/_/ _/ _/ _/ _/ _/ _/ _/_/_/ _/ _/' - write(6,*) achar(27)//'[0m' - - write(6,'(/,a)') ' Roters et al., Computational Materials Science 158:420–478, 2019' - write(6,'(a)') ' https://doi.org/10.1016/j.commatsci.2018.04.030' - - write(6,'(/,a)') ' Version: '//DAMASKVERSION + print'(/,a)', ' Version: '//DAMASKVERSION ! https://github.com/jeffhammond/HPCInfo/blob/master/docs/Preprocessor-Macros.md -#if defined(__GFORTRAN__) || __INTEL_COMPILER >= 1800 - write(6,'(/,a)') ' Compiled with: '//compiler_version() - write(6,'(a)') ' Compiler options: '//compiler_options() -#elif defined(__INTEL_COMPILER) - write(6,'(/,a,i4.4,a,i8.8)') ' Compiled with Intel fortran version :', __INTEL_COMPILER,& - ', build date :', __INTEL_COMPILER_BUILD_DATE -#elif defined(__PGI) - write(6,'(a,i4.4,a,i8.8)') ' Compiled with PGI fortran version :', __PGIC__,& - '.', __PGIC_MINOR__ +#if defined(__PGI) + print'(/,a,i4.4,a,i8.8)', ' Compiled with PGI fortran version :', __PGIC__,& + '.', __PGIC_MINOR__ +#else + print'(/,a)', ' Compiled with: '//compiler_version() + print'(a)', ' Compiler options: '//compiler_options() #endif - write(6,'(/,a)') ' Compiled on: '//__DATE__//' at '//__TIME__ + print'(/,a)', ' Compiled on: '//__DATE__//' at '//__TIME__ call date_and_time(values = dateAndTime) - write(6,'(/,a,2(i2.2,a),i4.4)') ' Date: ',dateAndTime(3),'/',dateAndTime(2),'/', dateAndTime(1) - write(6,'(a,2(i2.2,a),i2.2)') ' Time: ',dateAndTime(5),':', dateAndTime(6),':', dateAndTime(7) - - call MPI_Type_size(MPI_INTEGER,typeSize,mpi_err) - if (mpi_err /= 0) call quit(1) - if (typeSize*8 /= bit_size(0)) then - write(6,'(a)') ' Mismatch between MPI and DAMASK integer' - call quit(1) - endif - - call MPI_Type_size(MPI_DOUBLE,typeSize,mpi_err) - if (mpi_err /= 0) call quit(1) - if (typeSize*8 /= storage_size(0.0_pReal)) then - write(6,'(a)') ' Mismatch between MPI and DAMASK real' - call quit(1) - endif + print'(/,a,2(i2.2,a),i4.4)', ' Date: ',dateAndTime(3),'/',dateAndTime(2),'/', dateAndTime(1) + print'(a,2(i2.2,a),i2.2)', ' Time: ',dateAndTime(5),':', dateAndTime(6),':', dateAndTime(7) do i = 1, command_argument_count() - call get_command_argument(i,arg) + call get_command_argument(i,arg,status=err) + if (err /= 0) call quit(1) select case(trim(arg)) ! extract key case ('-h','--help') - write(6,'(a)') ' #######################################################################' - write(6,'(a)') ' DAMASK Command Line Interface:' - write(6,'(a)') ' For PETSc-based solvers for the Düsseldorf Advanced Material Simulation Kit' - write(6,'(a,/)')' #######################################################################' - write(6,'(a,/)')' Valid command line switches:' - write(6,'(a)') ' --geom (-g, --geometry)' - write(6,'(a)') ' --load (-l, --loadcase)' - write(6,'(a)') ' --workingdir (-w, --wd, --workingdirectory, -d, --directory)' - write(6,'(a)') ' --restart (-r, --rs)' - write(6,'(a)') ' --help (-h)' - write(6,'(/,a)')' -----------------------------------------------------------------------' - write(6,'(a)') ' Mandatory arguments:' - write(6,'(/,a)')' --geom PathToGeomFile/NameOfGeom' - write(6,'(a)') ' Specifies the location of the geometry definition file.' - write(6,'(/,a)')' --load PathToLoadFile/NameOfLoadFile' - write(6,'(a)') ' Specifies the location of the load case definition file.' - write(6,'(/,a)')' -----------------------------------------------------------------------' - write(6,'(a)') ' Optional arguments:' - write(6,'(/,a)')' --workingdirectory PathToWorkingDirectory' - write(6,'(a)') ' Specifies the working directory and overwrites the default ./' - write(6,'(a)') ' Make sure the file "material.config" exists in the working' - write(6,'(a)') ' directory.' - write(6,'(a)') ' For further configuration place "numerics.config"' - write(6,'(a)')' and "debug.config" in that directory.' - write(6,'(/,a)')' --restart XX' - write(6,'(a)') ' Reads in increment XX and continues with calculating' - write(6,'(a)') ' increment XX+1 based on this.' - write(6,'(a)') ' Appends to existing results file' - write(6,'(a)') ' "NameOfGeom_NameOfLoadFile".' - write(6,'(a)') ' Works only if the restart information for increment XX' - write(6,'(a)') ' is available in the working directory.' - write(6,'(/,a)')' -----------------------------------------------------------------------' - write(6,'(a)') ' Help:' - write(6,'(/,a)')' --help' - write(6,'(a,/)')' Prints this message and exits' + print'(a)', ' #######################################################################' + print'(a)', ' DAMASK Command Line Interface:' + print'(a)', ' For PETSc-based solvers for the Düsseldorf Advanced Material Simulation Kit' + print'(a,/)',' #######################################################################' + print'(a,/)',' Valid command line switches:' + print'(a)', ' --geom (-g, --geometry)' + print'(a)', ' --load (-l, --loadcase)' + print'(a)', ' --workingdir (-w, --wd, --workingdirectory)' + print'(a)', ' --restart (-r, --rs)' + print'(a)', ' --help (-h)' + print'(/,a)',' -----------------------------------------------------------------------' + print'(a)', ' Mandatory arguments:' + print'(/,a)',' --geom PathToGeomFile/NameOfGeom' + print'(a)', ' Specifies the location of the geometry definition file.' + print'(/,a)',' --load PathToLoadFile/NameOfLoadFile' + print'(a)', ' Specifies the location of the load case definition file.' + print'(/,a)',' -----------------------------------------------------------------------' + print'(a)', ' Optional arguments:' + print'(/,a)',' --workingdirectory PathToWorkingDirectory' + print'(a)', ' Specifies the working directory and overwrites the default ./' + print'(a)', ' Make sure the file "material.config" exists in the working' + print'(a)', ' directory.' + print'(a)', ' For further configuration place "numerics.config"' + print'(a)',' and "debug.config" in that directory.' + print'(/,a)',' --restart N' + print'(a)', ' Reads in increment N and continues with calculating' + print'(a)', ' increment N+1 based on this.' + print'(a)', ' Appends to existing results file' + print'(a)', ' "NameOfGeom_NameOfLoadFile.hdf5".' + print'(a)', ' Works only if the restart information for increment N' + print'(a)', ' is available in the working directory.' + print'(/,a)',' -----------------------------------------------------------------------' + print'(a)', ' Help:' + print'(/,a)',' --help' + print'(a,/)',' Prints this message and exits' call quit(0) ! normal Termination case ('-l', '--load', '--loadcase') - call get_command_argument(i+1,loadCaseArg) + call get_command_argument(i+1,loadCaseArg,status=err) case ('-g', '--geom', '--geometry') - call get_command_argument(i+1,geometryArg) - case ('-w', '-d', '--wd', '--directory', '--workingdir', '--workingdirectory') - call get_command_argument(i+1,workingDirArg) + call get_command_argument(i+1,geometryArg,status=err) + case ('-w', '--wd', '--workingdir', '--workingdirectory') + call get_command_argument(i+1,workingDirArg,status=err) case ('-r', '--rs', '--restart') - call get_command_argument(i+1,arg) + call get_command_argument(i+1,arg,status=err) read(arg,*,iostat=stat) interface_restartInc if (interface_restartInc < 0 .or. stat /=0) then - write(6,'(/,a)') ' ERROR: Could not parse restart increment: '//trim(arg) + print'(/,a)', ' ERROR: Could not parse restart increment: '//trim(arg) call quit(1) endif end select + if (err /= 0) call quit(1) enddo if (len_trim(loadcaseArg) == 0 .or. len_trim(geometryArg) == 0) then - write(6,'(/,a)') ' ERROR: Please specify geometry AND load case (-h for help)' + print'(/,a)', ' ERROR: Please specify geometry AND load case (-h for help)' call quit(1) endif if (len_trim(workingDirArg) > 0) call setWorkingDirectory(trim(workingDirArg)) - geometryFile = getGeometryFile(geometryArg) - loadCaseFile = getLoadCaseFile(loadCaseArg) + interface_geomFile = getGeometryFile(geometryArg) + interface_loadFile = getLoadCaseFile(loadCaseArg) call get_command(commandLine) call get_environment_variable('USER',userName) ! ToDo: https://stackoverflow.com/questions/8953424/how-to-get-the-username-in-c-c-in-linux - write(6,'(/,a,i4.1)') ' MPI processes: ',worldsize - write(6,'(a,a)') ' Host name: ', trim(getHostName()) - write(6,'(a,a)') ' User name: ', trim(userName) + print'(a)', ' Host name: '//trim(getHostName()) + print'(a)', ' User name: '//trim(userName) - write(6,'(/a,a)') ' Command line call: ', trim(commandLine) + print'(/a)', ' Command line call: '//trim(commandLine) if (len_trim(workingDirArg) > 0) & - write(6,'(a,a)') ' Working dir argument: ', trim(workingDirArg) - write(6,'(a,a)') ' Geometry argument: ', trim(geometryArg) - write(6,'(a,a)') ' Load case argument: ', trim(loadcaseArg) - write(6,'(a,a)') ' Working directory: ', getCWD() - write(6,'(a,a)') ' Geometry file: ', geometryFile - write(6,'(a,a)') ' Loadcase file: ', loadCaseFile - write(6,'(a,a)') ' Solver job name: ', getSolverJobName() + print'(a)', ' Working dir argument: '//trim(workingDirArg) + print'(a)', ' Geometry argument: '//trim(geometryArg) + print'(a)', ' Load case argument: '//trim(loadcaseArg) + print'(a)', ' Working directory: '//getCWD() + print'(a)', ' Geometry file: '//interface_geomFile + print'(a)', ' Loadcase file: '//interface_loadFile + print'(a)', ' Solver job name: '//getSolverJobName() if (interface_restartInc > 0) & - write(6,'(a,i6.6)') ' Restart from increment: ', interface_restartInc + print'(a,i6.6)', ' Restart from increment: ', interface_restartInc !call signalterm_c(c_funloc(catchSIGTERM)) call signalusr1_c(c_funloc(catchSIGUSR1)) call signalusr2_c(c_funloc(catchSIGUSR2)) - call setSIGTERM(.false.) - call setSIGUSR1(.false.) - call setSIGUSR2(.false.) - + call interface_setSIGTERM(.false.) + call interface_setSIGUSR1(.false.) + call interface_setSIGUSR2(.false.) end subroutine DAMASK_interface_init @@ -311,7 +237,7 @@ subroutine setWorkingDirectory(workingDirectoryArg) workingDirectory = trim(rectifyPath(workingDirectory)) error = setCWD(trim(workingDirectory)) if(error) then - write(6,'(/,a)') ' ERROR: Invalid Working directory: '//trim(workingDirectory) + print*, 'ERROR: Invalid Working directory: '//trim(workingDirectory) call quit(1) endif @@ -326,15 +252,15 @@ function getSolverJobName() character(len=:), allocatable :: getSolverJobName integer :: posExt,posSep - posExt = scan(geometryFile,'.',back=.true.) - posSep = scan(geometryFile,'/',back=.true.) + posExt = scan(interface_geomFile,'.',back=.true.) + posSep = scan(interface_geomFile,'/',back=.true.) - getSolverJobName = geometryFile(posSep+1:posExt-1) + getSolverJobName = interface_geomFile(posSep+1:posExt-1) - posExt = scan(loadCaseFile,'.',back=.true.) - posSep = scan(loadCaseFile,'/',back=.true.) + posExt = scan(interface_loadFile,'.',back=.true.) + posSep = scan(interface_loadFile,'/',back=.true.) - getSolverJobName = getSolverJobName//'_'//loadCaseFile(posSep+1:posExt-1) + getSolverJobName = getSolverJobName//'_'//interface_loadFile(posSep+1:posExt-1) end function getSolverJobName @@ -355,7 +281,7 @@ function getGeometryFile(geometryParameter) inquire(file=getGeometryFile, exist=file_exists) if (.not. file_exists) then - write(6,'(/,a)') ' ERROR: Geometry file does not exists ('//trim(getGeometryFile)//')' + print*, 'ERROR: Geometry file does not exists: '//trim(getGeometryFile) call quit(1) endif @@ -363,7 +289,7 @@ end function getGeometryFile !-------------------------------------------------------------------------------------------------- -!> @brief relative path of loadcase from command line arguments +!> @brief relative path of load case from command line arguments !-------------------------------------------------------------------------------------------------- function getLoadCaseFile(loadCaseParameter) @@ -378,7 +304,7 @@ function getLoadCaseFile(loadCaseParameter) inquire(file=getLoadCaseFile, exist=file_exists) if (.not. file_exists) then - write(6,'(/,a)') ' ERROR: Load case file does not exists ('//trim(getLoadCaseFile)//')' + print*, 'ERROR: Load case file does not exists: '//trim(getLoadCaseFile) call quit(1) endif @@ -447,7 +373,7 @@ function makeRelativePath(a,b) a_cleaned = rectifyPath(trim(a)//'/') b_cleaned = rectifyPath(b) - do i = 1, min(1024,len_trim(a_cleaned),len_trim(rectifyPath(b_cleaned))) + do i = 1, min(len_trim(a_cleaned),len_trim(rectifyPath(b_cleaned))) if (a_cleaned(i:i) /= b_cleaned(i:i)) exit if (a_cleaned(i:i) == '/') posLastCommonSlash = i enddo @@ -461,75 +387,78 @@ end function makeRelativePath !-------------------------------------------------------------------------------------------------- -!> @brief sets global variable SIGTERM to .true. +!> @brief Set global variable interface_SIGTERM to .true. +!> @details This function can be registered to catch signals send to the executable. !-------------------------------------------------------------------------------------------------- subroutine catchSIGTERM(signal) bind(C) integer(C_INT), value :: signal - SIGTERM = .true. + interface_SIGTERM = .true. - write(6,'(a,i2.2,a)') ' received signal ',signal, ', set SIGTERM' + print'(a,i0,a)', ' received signal ',signal, ', set SIGTERM=TRUE' end subroutine catchSIGTERM !-------------------------------------------------------------------------------------------------- -!> @brief sets global variable SIGTERM +!> @brief Set global variable interface_SIGTERM. !-------------------------------------------------------------------------------------------------- -subroutine setSIGTERM(state) +subroutine interface_setSIGTERM(state) logical, intent(in) :: state - SIGTERM = state + interface_SIGTERM = state -end subroutine setSIGTERM +end subroutine interface_setSIGTERM !-------------------------------------------------------------------------------------------------- -!> @brief sets global variable SIGUSR1 to .true. +!> @brief Set global variable interface_SIGUSR1 to .true. +!> @details This function can be registered to catch signals send to the executable. !-------------------------------------------------------------------------------------------------- subroutine catchSIGUSR1(signal) bind(C) integer(C_INT), value :: signal - SIGUSR1 = .true. + interface_SIGUSR1 = .true. - write(6,'(a,i2.2,a)') ' received signal ',signal, ', set SIGUSR1' + print'(a,i0,a)', ' received signal ',signal, ', set SIGUSR1=TRUE' end subroutine catchSIGUSR1 !-------------------------------------------------------------------------------------------------- -!> @brief sets global variable SIGUSR1 +!> @brief Set global variable interface_SIGUSR. !-------------------------------------------------------------------------------------------------- -subroutine setSIGUSR1(state) +subroutine interface_setSIGUSR1(state) logical, intent(in) :: state - SIGUSR1 = state + interface_SIGUSR1 = state -end subroutine setSIGUSR1 +end subroutine interface_setSIGUSR1 !-------------------------------------------------------------------------------------------------- -!> @brief sets global variable SIGUSR2 to .true. if program receives SIGUSR2 +!> @brief Set global variable interface_SIGUSR2 to .true. +!> @details This function can be registered to catch signals send to the executable. !-------------------------------------------------------------------------------------------------- subroutine catchSIGUSR2(signal) bind(C) integer(C_INT), value :: signal - SIGUSR2 = .true. + interface_SIGUSR2 = .true. - write(6,'(a,i2.2,a)') ' received signal ',signal, ', set SIGUSR2' + print'(a,i0,a)', ' received signal ',signal, ', set SIGUSR2=TRUE' end subroutine catchSIGUSR2 !-------------------------------------------------------------------------------------------------- -!> @brief sets global variable SIGUSR2 +!> @brief Set global variable interface_SIGUSR2. !-------------------------------------------------------------------------------------------------- -subroutine setSIGUSR2(state) +subroutine interface_setSIGUSR2(state) logical, intent(in) :: state - SIGUSR2 = state + interface_SIGUSR2 = state -end subroutine setSIGUSR2 +end subroutine interface_setSIGUSR2 end module diff --git a/src/DAMASK_marc.f90 b/src/DAMASK_marc.f90 index fa0711b02..ea7430c6b 100644 --- a/src/DAMASK_marc.f90 +++ b/src/DAMASK_marc.f90 @@ -30,7 +30,7 @@ module DAMASK_interface use prec #if __INTEL_COMPILER >= 1800 - use, intrinsic :: iso_fortran_env, only: & + use, intrinsic :: ISO_fortran_env, only: & compiler_version, & compiler_options #endif @@ -43,9 +43,6 @@ module DAMASK_interface logical, protected, public :: symmetricSolver character(len=*), parameter, public :: INPUTFILEEXTENSION = '.dat' - logical, dimension(:,:), public, allocatable :: & - calcMode !< calculate or collect (ping pong scheme) - public :: & DAMASK_interface_init, & getSolverJobName @@ -61,33 +58,33 @@ subroutine DAMASK_interface_init integer :: ierr character(len=pPathLen) :: wd - write(6,'(/,a)') ' <<<+- DAMASK_marc init -+>>>' + print'(/,a)', ' <<<+- DAMASK_marc init -+>>>' - write(6,'(/,a)') ' Roters et al., Computational Materials Science 158:420–478, 2019' - write(6,'(a)') ' https://doi.org/10.1016/j.commatsci.2018.04.030' + print*, 'Roters et al., Computational Materials Science 158:420–478, 2019' + print*, 'https://doi.org/10.1016/j.commatsci.2018.04.030' - write(6,'(/,a)') ' Version: '//DAMASKVERSION + print'(/,a)', ' Version: '//DAMASKVERSION ! https://github.com/jeffhammond/HPCInfo/blob/master/docs/Preprocessor-Macros.md #if __INTEL_COMPILER >= 1800 - write(6,'(/,a)') ' Compiled with: '//compiler_version() - write(6,'(a)') ' Compiler options: '//compiler_options() + print'(/,a)', ' Compiled with: '//compiler_version() + print'(a)', ' Compiler options: '//compiler_options() #else - write(6,'(/,a,i4.4,a,i8.8)') ' Compiled with Intel fortran version :', __INTEL_COMPILER,& + print'(/,a,i4.4,a,i8.8)', ' Compiled with Intel fortran version :', __INTEL_COMPILER,& ', build date :', __INTEL_COMPILER_BUILD_DATE #endif - write(6,'(/,a)') ' Compiled on: '//__DATE__//' at '//__TIME__ + print'(/,a)', ' Compiled on: '//__DATE__//' at '//__TIME__ call date_and_time(values = dateAndTime) - write(6,'(/,a,2(i2.2,a),i4.4)') ' Date: ',dateAndTime(3),'/',dateAndTime(2),'/', dateAndTime(1) - write(6,'(a,2(i2.2,a),i2.2)') ' Time: ',dateAndTime(5),':', dateAndTime(6),':', dateAndTime(7) + print'(/,a,2(i2.2,a),i4.4)', ' Date: ',dateAndTime(3),'/',dateAndTime(2),'/', dateAndTime(1) + print'(a,2(i2.2,a),i2.2)', ' Time: ',dateAndTime(5),':', dateAndTime(6),':', dateAndTime(7) inquire(5, name=wd) wd = wd(1:scan(wd,'/',back=.true.)) ierr = CHDIR(wd) if (ierr /= 0) then - write(6,'(a20,a,a16)') ' working directory "',trim(wd),'" does not exist' + print*, 'working directory "'//trim(wd)//'" does not exist' call quit(1) endif symmetricSolver = solverIsSymmetric() @@ -175,62 +172,62 @@ subroutine hypela2(d,g,e,de,s,t,dt,ngens,m,nn,kcus,matus,ndi,nshear,disp, & dispt,coord,ffn,frotn,strechn,eigvn,ffn1,frotn1, & strechn1,eigvn1,ncrd,itel,ndeg,ndm,nnode, & jtype,lclass,ifr,ifu) - use prec - use DAMASK_interface - use numerics - use FEsolving - use debug - use discretization_marc - use homogenization - use CPFEM + use prec + use DAMASK_interface + use config + use YAML_types + use FEsolving + use discretization_marc + use homogenization + use CPFEM - implicit none -!$ include "omp_lib.h" ! the openMP function library - integer, intent(in) :: & ! according to MSC.Marc 2012 Manual D - ngens, & !< size of stress-strain law - nn, & !< integration point number - ndi, & !< number of direct components - nshear, & !< number of shear components - ncrd, & !< number of coordinates - itel, & !< dimension of F and R, either 2 or 3 - ndeg, & !< number of degrees of freedom - ndm, & !< not specified in MSC.Marc 2012 Manual D - nnode, & !< number of nodes per element - jtype, & !< element type - ifr, & !< set to 1 if R has been calculated - ifu !< set to 1 if stretch has been calculated - integer, dimension(2), intent(in) :: & ! according to MSC.Marc 2012 Manual D - m, & !< (1) user element number, (2) internal element number - matus, & !< (1) user material identification number, (2) internal material identification number - kcus, & !< (1) layer number, (2) internal layer number - lclass !< (1) element class, (2) 0: displacement, 1: low order Herrmann, 2: high order Herrmann - real(pReal), dimension(*), intent(in) :: & ! has dimension(1) according to MSC.Marc 2012 Manual D, but according to example hypela2.f dimension(*) - e, & !< total elastic strain - de, & !< increment of strain - dt !< increment of state variables - real(pReal), dimension(itel), intent(in) :: & ! according to MSC.Marc 2012 Manual D - strechn, & !< square of principal stretch ratios, lambda(i) at t=n - strechn1 !< square of principal stretch ratios, lambda(i) at t=n+1 - real(pReal), dimension(3,3), intent(in) :: & ! has dimension(itel,*) according to MSC.Marc 2012 Manual D, but we alway assume dimension(3,3) - ffn, & !< deformation gradient at t=n - ffn1 !< deformation gradient at t=n+1 - real(pReal), dimension(itel,*), intent(in) :: & ! according to MSC.Marc 2012 Manual D - frotn, & !< rotation tensor at t=n - eigvn, & !< i principal direction components for j eigenvalues at t=n - frotn1, & !< rotation tensor at t=n+1 - eigvn1 !< i principal direction components for j eigenvalues at t=n+1 - real(pReal), dimension(ndeg,*), intent(in) :: & ! according to MSC.Marc 2012 Manual D - disp, & !< incremental displacements - dispt !< displacements at t=n (at assembly, lovl=4) and displacements at t=n+1 (at stress recovery, lovl=6) - real(pReal), dimension(ncrd,*), intent(in) :: & ! according to MSC.Marc 2012 Manual D - coord !< coordinates - real(pReal), dimension(*), intent(inout) :: & ! according to MSC.Marc 2012 Manual D - t !< state variables (comes in at t=n, must be updated to have state variables at t=n+1) - real(pReal), dimension(ndi+nshear), intent(out) :: & ! has dimension(*) according to MSC.Marc 2012 Manual D, but we need to loop over it - s, & !< stress - should be updated by user - g !< change in stress due to temperature effects - real(pReal), dimension(ngens,ngens), intent(out) :: & ! according to MSC.Marc 2012 Manual D, but according to example hypela2.f dimension(ngens,*) - d !< stress-strain law to be formed + implicit none + include "omp_lib.h" ! the openMP function library + integer, intent(in) :: & ! according to MSC.Marc 2012 Manual D + ngens, & !< size of stress-strain law + nn, & !< integration point number + ndi, & !< number of direct components + nshear, & !< number of shear components + ncrd, & !< number of coordinates + itel, & !< dimension of F and R, either 2 or 3 + ndeg, & !< number of degrees of freedom + ndm, & !< not specified in MSC.Marc 2012 Manual D + nnode, & !< number of nodes per element + jtype, & !< element type + ifr, & !< set to 1 if R has been calculated + ifu !< set to 1 if stretch has been calculated + integer, dimension(2), intent(in) :: & ! according to MSC.Marc 2012 Manual D + m, & !< (1) user element number, (2) internal element number + matus, & !< (1) user material identification number, (2) internal material identification number + kcus, & !< (1) layer number, (2) internal layer number + lclass !< (1) element class, (2) 0: displacement, 1: low order Herrmann, 2: high order Herrmann + real(pReal), dimension(*), intent(in) :: & ! has dimension(1) according to MSC.Marc 2012 Manual D, but according to example hypela2.f dimension(*) + e, & !< total elastic strain + de, & !< increment of strain + dt !< increment of state variables + real(pReal), dimension(itel), intent(in) :: & ! according to MSC.Marc 2012 Manual D + strechn, & !< square of principal stretch ratios, lambda(i) at t=n + strechn1 !< square of principal stretch ratios, lambda(i) at t=n+1 + real(pReal), dimension(3,3), intent(in) :: & ! has dimension(itel,*) according to MSC.Marc 2012 Manual D, but we alway assume dimension(3,3) + ffn, & !< deformation gradient at t=n + ffn1 !< deformation gradient at t=n+1 + real(pReal), dimension(itel,*), intent(in) :: & ! according to MSC.Marc 2012 Manual D + frotn, & !< rotation tensor at t=n + eigvn, & !< i principal direction components for j eigenvalues at t=n + frotn1, & !< rotation tensor at t=n+1 + eigvn1 !< i principal direction components for j eigenvalues at t=n+1 + real(pReal), dimension(ndeg,*), intent(in) :: & ! according to MSC.Marc 2012 Manual D + disp, & !< incremental displacements + dispt !< displacements at t=n (at assembly, lovl=4) and displacements at t=n+1 (at stress recovery, lovl=6) + real(pReal), dimension(ncrd,*), intent(in) :: & ! according to MSC.Marc 2012 Manual D + coord !< coordinates + real(pReal), dimension(*), intent(inout) :: & ! according to MSC.Marc 2012 Manual D + t !< state variables (comes in at t=n, must be updated to have state variables at t=n+1) + real(pReal), dimension(ndi+nshear), intent(out) :: & ! has dimension(*) according to MSC.Marc 2012 Manual D, but we need to loop over it + s, & !< stress - should be updated by user + g !< change in stress due to temperature effects + real(pReal), dimension(ngens,ngens), intent(out) :: & ! according to MSC.Marc 2012 Manual D, but according to example hypela2.f dimension(ngens,*) + d !< stress-strain law to be formed !-------------------------------------------------------------------------------------------------- ! Marc common blocks are in fixed format so they have to be reformated to free format (f90) @@ -239,137 +236,113 @@ subroutine hypela2(d,g,e,de,s,t,dt,ngens,m,nn,kcus,matus,ndi,nshear,disp, & #include QUOTE(PASTE(./marc/include/concom,Marc4DAMASK)) ! concom is needed for inc, lovl #include QUOTE(PASTE(./marc/include/creeps,Marc4DAMASK)) ! creeps is needed for timinc (time increment) - logical :: cutBack - real(pReal), dimension(6) :: stress - real(pReal), dimension(6,6) :: ddsdde - integer :: computationMode, i, cp_en, node, CPnodeID - !$ integer(4) :: defaultNumThreadsInt !< default value set by Marc + logical :: cutBack + real(pReal), dimension(6) :: stress + real(pReal), dimension(6,6) :: ddsdde + integer :: computationMode, i, cp_en, node, CPnodeID + integer(4) :: defaultNumThreadsInt !< default value set by Marc - if (iand(debug_level(debug_MARC),debug_LEVELBASIC) /= 0) then - write(6,'(a,/,i8,i8,i2)') ' MSC.MARC information on shape of element(2), IP:', m, nn - write(6,'(a,2(i1))') ' Jacobian: ', ngens,ngens - write(6,'(a,i1)') ' Direct stress: ', ndi - write(6,'(a,i1)') ' Shear stress: ', nshear - write(6,'(a,i2)') ' DoF: ', ndeg - write(6,'(a,i2)') ' Coordinates: ', ncrd - write(6,'(a,i12)') ' Nodes: ', nnode - write(6,'(a,i1)') ' Deformation gradient: ', itel - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') ' Deformation gradient at t=n:', & - transpose(ffn) - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') ' Deformation gradient at t=n+1:', & - transpose(ffn1) - endif + integer(pInt), save :: & + theInc = -1_pInt, & !< needs description + lastLovl = 0_pInt !< lovl in previous call to marc hypela2 + real(pReal), save :: & + theTime = 0.0_pReal, & !< needs description + theDelta = 0.0_pReal + logical, save :: & + lastIncConverged = .false., & !< needs description + outdatedByNewInc = .false., & !< needs description + CPFEM_init_done = .false., & !< remember whether init has been done already + debug_basic = .true. + class(tNode), pointer :: & + debug_Marc ! pointer to Marc debug options - !$ defaultNumThreadsInt = omp_get_num_threads() ! remember number of threads set by Marc - !$ call omp_set_num_threads(DAMASK_NumThreadsInt) ! set number of threads for parallel execution set by DAMASK_NUM_THREADS + if(debug_basic) then + print'(a,/,i8,i8,i2)', ' MSC.MARC information on shape of element(2), IP:', m, nn + print'(a,2(i1))', ' Jacobian: ', ngens,ngens + print'(a,i1)', ' Direct stress: ', ndi + print'(a,i1)', ' Shear stress: ', nshear + print'(a,i2)', ' DoF: ', ndeg + print'(a,i2)', ' Coordinates: ', ncrd + print'(a,i12)', ' Nodes: ', nnode + print'(a,i1)', ' Deformation gradient: ', itel + write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') ' Deformation gradient at t=n:', & + transpose(ffn) + write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') ' Deformation gradient at t=n+1:', & + transpose(ffn1) + endif - if (.not. CPFEM_init_done) call CPFEM_initAll(m(1),nn) + defaultNumThreadsInt = omp_get_num_threads() ! remember number of threads set by Marc + call omp_set_num_threads(1) ! no openMP - computationMode = 0 ! save initialization value, since it does not result in any calculation - if (lovl == 4 ) then ! jacobian requested by marc - if (timinc < theDelta .and. theInc == inc .and. lastLovl /= lovl) & ! first after cutback - computationMode = CPFEM_RESTOREJACOBIAN - elseif (lovl == 6) then ! stress requested by marc - cp_en = mesh_FEM2DAMASK_elem(m(1)) - if (cptim > theTime .or. inc /= theInc) then ! reached "convergence" - terminallyIll = .false. - cycleCounter = -1 ! first calc step increments this to cycle = 0 - if (inc == 0) then ! >> start of analysis << - lastIncConverged = .false. ! no Jacobian backup - outdatedByNewInc = .false. ! no aging of state - calcMode = .false. ! pretend last step was collection - lastLovl = lovl ! pretend that this is NOT the first after a lovl change - write(6,'(a,i6,1x,i2)') '<< HYPELA2 >> start of analysis..! ',m(1),nn - flush(6) - else if (inc - theInc > 1) then ! >> restart of broken analysis << - lastIncConverged = .false. ! no Jacobian backup - outdatedByNewInc = .false. ! no aging of state - calcMode = .true. ! pretend last step was calculation - write(6,'(a,i6,1x,i2)') '<< HYPELA2 >> restart of analysis..! ',m(1),nn - flush(6) - else ! >> just the next inc << - lastIncConverged = .true. ! request Jacobian backup - outdatedByNewInc = .true. ! request aging of state - calcMode = .true. ! assure last step was calculation - write(6,'(a,i6,1x,i2)') '<< HYPELA2 >> new increment..! ',m(1),nn - flush(6) - endif - else if ( timinc < theDelta ) then ! >> cutBack << - lastIncConverged = .false. ! no Jacobian backup - outdatedByNewInc = .false. ! no aging of state - terminallyIll = .false. - cycleCounter = -1 ! first calc step increments this to cycle = 0 - calcMode = .true. ! pretend last step was calculation - write(6,'(a,i6,1x,i2)') '<< HYPELA2 >> cutback detected..! ',m(1),nn - flush(6) - endif ! convergence treatment end + if (.not. CPFEM_init_done) then + CPFEM_init_done = .true. + call CPFEM_initAll + debug_Marc => config_debug%get('marc',defaultVal=emptyList) + debug_basic = debug_Marc%contains('basic') + endif + computationMode = 0 ! save initialization value, since it does not result in any calculation + if (lovl == 4 ) then ! jacobian requested by marc + if (timinc < theDelta .and. theInc == inc .and. lastLovl /= lovl) & ! first after cutback + computationMode = CPFEM_RESTOREJACOBIAN + elseif (lovl == 6) then ! stress requested by marc + computationMode = CPFEM_CALCRESULTS + cp_en = mesh_FEM2DAMASK_elem(m(1)) + if (cptim > theTime .or. inc /= theInc) then ! reached "convergence" + terminallyIll = .false. + cycleCounter = -1 ! first calc step increments this to cycle = 0 + if (inc == 0) then ! >> start of analysis << + lastIncConverged = .false. + outdatedByNewInc = .false. + lastLovl = lovl ! pretend that this is NOT the first after a lovl change + print'(a,i6,1x,i2)', '<< HYPELA2 >> start of analysis..! ',m(1),nn + else if (inc - theInc > 1) then ! >> restart of broken analysis << + lastIncConverged = .false. + outdatedByNewInc = .false. + print'(a,i6,1x,i2)', '<< HYPELA2 >> restart of analysis..! ',m(1),nn + else ! >> just the next inc << + lastIncConverged = .true. + outdatedByNewInc = .true. + print'(a,i6,1x,i2)', '<< HYPELA2 >> new increment..! ',m(1),nn + endif + else if ( timinc < theDelta ) then ! >> cutBack << + lastIncConverged = .false. + outdatedByNewInc = .false. + terminallyIll = .false. + cycleCounter = -1 ! first calc step increments this to cycle = 0 + print'(a,i6,1x,i2)', '<< HYPELA2 >> cutback detected..! ',m(1),nn + endif ! convergence treatment end + flush(6) - if (usePingPong) then - calcMode(nn,cp_en) = .not. calcMode(nn,cp_en) ! ping pong (calc <--> collect) - if (calcMode(nn,cp_en)) then ! now --- CALC --- - computationMode = CPFEM_CALCRESULTS - if (lastLovl /= lovl) then ! first after ping pong - call debug_reset() ! resets debugging - outdatedFFN1 = .false. - cycleCounter = cycleCounter + 1 - !mesh_cellnode = mesh_build_cellnodes() ! update cell node coordinates - !call mesh_build_ipCoordinates() ! update ip coordinates - endif - if (outdatedByNewInc) then - computationMode = ior(computationMode,CPFEM_AGERESULTS) ! calc and age results - outdatedByNewInc = .false. ! reset flag - endif - else ! now --- COLLECT --- - computationMode = CPFEM_COLLECT ! plain collect - if (lastLovl /= lovl .and. & .not. terminallyIll) & - call debug_info() ! first after ping pong reports (meaningful) debugging - if (lastIncConverged) then - computationMode = ior(computationMode,CPFEM_BACKUPJACOBIAN) ! collect and backup Jacobian after convergence - lastIncConverged = .false. ! reset flag - endif - !do node = 1,theMesh%elem%nNodes - !CPnodeID = mesh_element(4+node,cp_en) - !mesh_node(1:ndeg,CPnodeID) = mesh_node0(1:ndeg,CPnodeID) + numerics_unitlength * dispt(1:ndeg,node) - !enddo - endif + if (lastLovl /= lovl) then + cycleCounter = cycleCounter + 1 + !mesh_cellnode = mesh_build_cellnodes() ! update cell node coordinates + !call mesh_build_ipCoordinates() ! update ip coordinates + endif + if (outdatedByNewInc) then + computationMode = ior(computationMode,CPFEM_AGERESULTS) + outdatedByNewInc = .false. + endif + if (lastIncConverged) then + computationMode = ior(computationMode,CPFEM_BACKUPJACOBIAN) + lastIncConverged = .false. + endif - else ! --- PLAIN MODE --- - computationMode = CPFEM_CALCRESULTS ! always calc - if (lastLovl /= lovl) then - if (.not. terminallyIll) & - call debug_info() ! first reports (meaningful) debugging - call debug_reset() ! and resets debugging - outdatedFFN1 = .false. - cycleCounter = cycleCounter + 1 - !mesh_cellnode = mesh_build_cellnodes() ! update cell node coordinates - !call mesh_build_ipCoordinates() ! update ip coordinates - endif - if (outdatedByNewInc) then - computationMode = ior(computationMode,CPFEM_AGERESULTS) - outdatedByNewInc = .false. ! reset flag - endif - if (lastIncConverged) then - computationMode = ior(computationMode,CPFEM_BACKUPJACOBIAN) ! backup Jacobian after convergence - lastIncConverged = .false. ! reset flag - endif - endif + theTime = cptim + theDelta = timinc + theInc = inc - theTime = cptim ! record current starting time - theDelta = timinc ! record current time increment - theInc = inc ! record current increment number + endif + lastLovl = lovl - endif - lastLovl = lovl ! record lovl + call CPFEM_general(computationMode,ffn,ffn1,t(1),timinc,m(1),nn,stress,ddsdde) - call CPFEM_general(computationMode,usePingPong,ffn,ffn1,t(1),timinc,m(1),nn,stress,ddsdde) + d = ddsdde(1:ngens,1:ngens) + s = stress(1:ndi+nshear) + g = 0.0_pReal + if(symmetricSolver) d = 0.5_pReal*(d+transpose(d)) - d = ddsdde(1:ngens,1:ngens) - s = stress(1:ndi+nshear) - g = 0.0_pReal - if(symmetricSolver) d = 0.5_pReal*(d+transpose(d)) - - !$ call omp_set_num_threads(defaultNumThreadsInt) ! reset number of threads to stored default value + call omp_set_num_threads(defaultNumThreadsInt) ! reset number of threads to stored default value end subroutine hypela2 diff --git a/src/DAMASK_marc2018.1.f90 b/src/DAMASK_marc2018.1.f90 deleted file mode 120000 index 2c5bec706..000000000 --- a/src/DAMASK_marc2018.1.f90 +++ /dev/null @@ -1 +0,0 @@ -DAMASK_marc.f90 \ No newline at end of file diff --git a/src/DAMASK_marc2018.f90 b/src/DAMASK_marc2018.f90 deleted file mode 120000 index 2c5bec706..000000000 --- a/src/DAMASK_marc2018.f90 +++ /dev/null @@ -1 +0,0 @@ -DAMASK_marc.f90 \ No newline at end of file diff --git a/src/DAMASK_marc2019.f90 b/src/DAMASK_marc2019.f90 deleted file mode 120000 index 2c5bec706..000000000 --- a/src/DAMASK_marc2019.f90 +++ /dev/null @@ -1 +0,0 @@ -DAMASK_marc.f90 \ No newline at end of file diff --git a/src/HDF5_utilities.f90 b/src/HDF5_utilities.f90 index 66705cc3f..a13ac1a8a 100644 --- a/src/HDF5_utilities.f90 +++ b/src/HDF5_utilities.f90 @@ -11,9 +11,9 @@ module HDF5_utilities #endif use prec + use parallelization use IO use rotations - use numerics implicit none public @@ -81,14 +81,14 @@ contains !-------------------------------------------------------------------------------------------------- -!> @brief open libary and do sanity checks +!> @brief initialize HDF5 libary and do sanity checks !-------------------------------------------------------------------------------------------------- subroutine HDF5_utilities_init integer :: hdferr integer(SIZE_T) :: typeSize - write(6,'(/,a)') ' <<<+- HDF5_Utilities init -+>>>' + print'(/,a)', ' <<<+- HDF5_Utilities init -+>>>' !-------------------------------------------------------------------------------------------------- !initialize HDF5 library and check if integer and float type size match @@ -98,12 +98,12 @@ subroutine HDF5_utilities_init call h5tget_size_f(H5T_NATIVE_INTEGER,typeSize, hdferr) if (hdferr < 0) call IO_error(1,ext_msg='HDF5_Utilities_init: h5tget_size_f (int)') if (int(bit_size(0),SIZE_T)/=typeSize*8) & - call IO_error(0,ext_msg='Default integer size does not match H5T_NATIVE_INTEGER') + error stop 'Default integer size does not match H5T_NATIVE_INTEGER' call h5tget_size_f(H5T_NATIVE_DOUBLE,typeSize, hdferr) if (hdferr < 0) call IO_error(1,ext_msg='HDF5_Utilities_init: h5tget_size_f (double)') if (int(storage_size(0.0_pReal),SIZE_T)/=typeSize*8) & - call IO_error(0,ext_msg='pReal does not match H5T_NATIVE_DOUBLE') + error stop 'pReal does not match H5T_NATIVE_DOUBLE' end subroutine HDF5_utilities_init @@ -246,7 +246,8 @@ end function HDF5_openGroup subroutine HDF5_closeGroup(group_id) integer(HID_T), intent(in) :: group_id - integer :: hdferr + + integer :: hdferr call h5gclose_f(group_id, hdferr) if (hdferr < 0) call IO_error(1,ext_msg = 'HDF5_closeGroup: h5gclose_f (el is ID)', el = int(group_id)) @@ -262,8 +263,8 @@ logical function HDF5_objectExists(loc_id,path) integer(HID_T), intent(in) :: loc_id character(len=*), intent(in), optional :: path - integer :: hdferr - character(len=pStringLen) :: p + integer :: hdferr + character(len=:), allocatable :: p if (present(path)) then p = trim(path) @@ -291,10 +292,10 @@ subroutine HDF5_addAttribute_str(loc_id,attrLabel,attrValue,path) character(len=*), intent(in) :: attrLabel, attrValue character(len=*), intent(in), optional :: path - integer :: hdferr - integer(HID_T) :: attr_id, space_id, type_id - logical :: attrExists - character(len=pStringLen) :: p + integer(HID_T) :: attr_id, space_id, type_id + logical :: attrExists + integer :: hdferr + character(len=:), allocatable :: p if (present(path)) then p = trim(path) @@ -333,15 +334,15 @@ end subroutine HDF5_addAttribute_str !-------------------------------------------------------------------------------------------------- subroutine HDF5_addAttribute_int(loc_id,attrLabel,attrValue,path) - integer(HID_T), intent(in) :: loc_id - character(len=*), intent(in) :: attrLabel - integer, intent(in) :: attrValue - character(len=*), intent(in), optional :: path + integer(HID_T), intent(in) :: loc_id + character(len=*), intent(in) :: attrLabel + integer, intent(in) :: attrValue + character(len=*), intent(in), optional :: path - integer :: hdferr - integer(HID_T) :: attr_id, space_id - logical :: attrExists - character(len=pStringLen) :: p + integer(HID_T) :: attr_id, space_id + integer :: hdferr + logical :: attrExists + character(len=:), allocatable :: p if (present(path)) then p = trim(path) @@ -379,10 +380,10 @@ subroutine HDF5_addAttribute_real(loc_id,attrLabel,attrValue,path) real(pReal), intent(in) :: attrValue character(len=*), intent(in), optional :: path - integer :: hdferr - integer(HID_T) :: attr_id, space_id - logical :: attrExists - character(len=pStringLen) :: p + integer(HID_T) :: attr_id, space_id + integer :: hdferr + logical :: attrExists + character(len=:), allocatable :: p if (present(path)) then p = trim(path) @@ -420,11 +421,11 @@ subroutine HDF5_addAttribute_int_array(loc_id,attrLabel,attrValue,path) integer, intent(in), dimension(:) :: attrValue character(len=*), intent(in), optional :: path - integer :: hdferr - integer(HID_T) :: attr_id, space_id integer(HSIZE_T),dimension(1) :: array_size + integer(HID_T) :: attr_id, space_id + integer :: hdferr logical :: attrExists - character(len=pStringLen) :: p + character(len=:), allocatable :: p if (present(path)) then p = trim(path) @@ -464,11 +465,11 @@ subroutine HDF5_addAttribute_real_array(loc_id,attrLabel,attrValue,path) real(pReal), intent(in), dimension(:) :: attrValue character(len=*), intent(in), optional :: path - integer :: hdferr - integer(HID_T) :: attr_id, space_id integer(HSIZE_T),dimension(1) :: array_size + integer(HID_T) :: attr_id, space_id + integer :: hdferr logical :: attrExists - character(len=pStringLen) :: p + character(len=:), allocatable :: p if (present(path)) then p = trim(path) diff --git a/src/IO.f90 b/src/IO.f90 index 1bd2df833..260bd94b8 100644 --- a/src/IO.f90 +++ b/src/IO.f90 @@ -3,30 +3,34 @@ !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @author Christoph Kords, Max-Planck-Institut für Eisenforschung GmbH !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH -!> @brief input/output functions, partly depending on chosen solver +!> @brief input/output functions !-------------------------------------------------------------------------------------------------- module IO + use, intrinsic :: ISO_fortran_env, only: & + IO_STDOUT => OUTPUT_UNIT, & + IO_STDERR => ERROR_UNIT + use prec implicit none private + character(len=*), parameter, public :: & - IO_EOF = '#EOF#', & !< end of file string IO_WHITESPACE = achar(44)//achar(32)//achar(9)//achar(10)//achar(13) !< whitespace characters character, parameter, public :: & IO_EOL = new_line('DAMASK'), & !< end of line character IO_COMMENT = '#' - character(len=*), parameter, private :: & + character(len=*), parameter :: & IO_DIVIDER = '───────────────────'//& '───────────────────'//& '───────────────────'//& '────────────' + public :: & IO_init, & - IO_read_ASCII, & - IO_open_binary, & + IO_read, & + IO_readlines, & IO_isBlank, & - IO_getTag, & IO_stringPos, & IO_stringValue, & IO_intValue, & @@ -37,27 +41,28 @@ module IO IO_stringAsFloat, & IO_stringAsBool, & IO_error, & - IO_warning + IO_warning, & + IO_STDOUT contains !-------------------------------------------------------------------------------------------------- -!> @brief does nothing. +!> @brief Do self test. !-------------------------------------------------------------------------------------------------- subroutine IO_init - write(6,'(/,a)') ' <<<+- IO init -+>>>'; flush(6) + print'(/,a)', ' <<<+- IO init -+>>>'; flush(IO_STDOUT) - call unitTest + call selfTest end subroutine IO_init !-------------------------------------------------------------------------------------------------- -!> @brief reads an entire ASCII file into an array +!> @brief Read ASCII file and split at EOL. !-------------------------------------------------------------------------------------------------- -function IO_read_ASCII(fileName) result(fileContent) +function IO_readlines(fileName) result(fileContent) character(len=*), intent(in) :: fileName @@ -65,43 +70,28 @@ function IO_read_ASCII(fileName) result(fileContent) character(len=pStringLen) :: line character(len=:), allocatable :: rawData integer :: & - fileLength, & - fileUnit, & startPos, endPos, & - myTotalLines, & !< # lines read from file - l, & - myStat + N_lines, & !< # lines in file + l logical :: warned -!-------------------------------------------------------------------------------------------------- -! read data as stream - inquire(file = fileName, size=fileLength) - if (fileLength == 0) then - allocate(fileContent(0)) - return - endif - open(newunit=fileUnit, file=fileName, access='stream',& - status='old', position='rewind', action='read',iostat=myStat) - if(myStat /= 0) call IO_error(100,ext_msg=trim(fileName)) - allocate(character(len=fileLength)::rawData) - read(fileUnit) rawData - close(fileUnit) + rawData = IO_read(fileName) !-------------------------------------------------------------------------------------------------- ! count lines to allocate string array - myTotalLines = 1 + N_lines = 0 do l=1, len(rawData) - if (rawData(l:l) == IO_EOL) myTotalLines = myTotalLines+1 + if (rawData(l:l) == IO_EOL) N_lines = N_lines+1 enddo - allocate(fileContent(myTotalLines)) + allocate(fileContent(N_lines)) !-------------------------------------------------------------------------------------------------- ! split raw data at end of line warned = .false. startPos = 1 l = 1 - do while (l <= myTotalLines) - endPos = merge(startPos + scan(rawData(startPos:),IO_EOL) - 2,len(rawData),l /= myTotalLines) + do while (l <= N_lines) + endPos = startPos + scan(rawData(startPos:),IO_EOL) - 2 if (endPos - startPos > pStringLen-1) then line = rawData(startPos:startPos+pStringLen-1) if (.not. warned) then @@ -113,48 +103,47 @@ function IO_read_ASCII(fileName) result(fileContent) endif startPos = endPos + 2 ! jump to next line start - fileContent(l) = line + fileContent(l) = trim(line)//'' l = l + 1 enddo -end function IO_read_ASCII +end function IO_readlines !-------------------------------------------------------------------------------------------------- -!> @brief opens an existing file for reading or a new file for writing. -!> @details replaces an existing file when writing +!> @brief Read whole file. +!> @details ensures that the string ends with a new line (expected UNIX behavior) !-------------------------------------------------------------------------------------------------- -integer function IO_open_binary(fileName,mode) +function IO_read(fileName) result(fileContent) - character(len=*), intent(in) :: fileName - character, intent(in), optional :: mode + character(len=*), intent(in) :: fileName + character(len=:), allocatable :: fileContent + integer :: & + fileLength, & + fileUnit, & + myStat - character :: m - integer :: ierr - - if (present(mode)) then - m = mode - else - m = 'r' + inquire(file = fileName, size=fileLength) + open(newunit=fileUnit, file=fileName, access='stream',& + status='old', position='rewind', action='read',iostat=myStat) + if(myStat /= 0) call IO_error(100,ext_msg=trim(fileName)) + allocate(character(len=fileLength)::fileContent) + if(fileLength==0) then + close(fileUnit) + return endif - if (m == 'w') then - open(newunit=IO_open_binary, file=trim(fileName),& - status='replace',access='stream',action='write',iostat=ierr) - if (ierr /= 0) call IO_error(100,ext_msg='could not open file (w): '//trim(fileName)) - elseif(m == 'r') then - open(newunit=IO_open_binary, file=trim(fileName),& - status='old', access='stream',action='read', iostat=ierr) - if (ierr /= 0) call IO_error(100,ext_msg='could not open file (r): '//trim(fileName)) - else - call IO_error(100,ext_msg='unknown access mode: '//m) - endif + read(fileUnit,iostat=myStat) fileContent + if(myStat /= 0) call IO_error(102,ext_msg=trim(fileName)) + close(fileUnit) -end function IO_open_binary + if(fileContent(fileLength:fileLength) /= IO_EOL) fileContent = fileContent//IO_EOL ! ensure EOL@EOF + +end function IO_read !-------------------------------------------------------------------------------------------------- -!> @brief identifies strings without content +!> @brief Identifiy strings without content. !-------------------------------------------------------------------------------------------------- logical pure function IO_isBlank(string) @@ -169,34 +158,8 @@ end function IO_isBlank !-------------------------------------------------------------------------------------------------- -!> @brief get tagged content of string -!-------------------------------------------------------------------------------------------------- -pure function IO_getTag(string,openChar,closeChar) - - character(len=*), intent(in) :: string !< string to check for tag - character, intent(in) :: openChar, & !< indicates beginning of tag - closeChar !< indicates end of tag - character(len=:), allocatable :: IO_getTag - - integer :: left,right - - left = scan(string,openChar) - right = merge(scan(string,closeChar), & - left + merge(scan(string(left+1:),openChar),0,len(string) > left), & - openChar /= closeChar) - - foundTag: if (left == verify(string,IO_WHITESPACE) .and. right > left) then - IO_getTag = string(left+1:right-1) - else foundTag - IO_getTag = '' - endif foundTag - -end function IO_getTag - - -!-------------------------------------------------------------------------------------------------- -!> @brief locates all whitespace-separated chunks in given string and returns array containing -!! number them and the left/right position to be used by IO_xxxVal +!> @brief Locate all whitespace-separated chunks in given string and returns array containing +!! number them and the left/right position to be used by IO_xxxVal. !! Array size is dynamically adjusted to number of chunks found in string !! IMPORTANT: first element contains number of chunks! !-------------------------------------------------------------------------------------------------- @@ -226,7 +189,7 @@ end function IO_stringPos !-------------------------------------------------------------------------------------------------- -!> @brief reads string value at myChunk from string +!> @brief Read string value at myChunk from string. !-------------------------------------------------------------------------------------------------- function IO_stringValue(string,chunkPos,myChunk) @@ -246,7 +209,7 @@ end function IO_stringValue !-------------------------------------------------------------------------------------------------- -!> @brief reads integer value at myChunk from string +!> @brief Read integer value at myChunk from string. !-------------------------------------------------------------------------------------------------- integer function IO_intValue(string,chunkPos,myChunk) @@ -260,7 +223,7 @@ end function IO_intValue !-------------------------------------------------------------------------------------------------- -!> @brief reads float value at myChunk from string +!> @brief Read float value at myChunk from string. !-------------------------------------------------------------------------------------------------- real(pReal) function IO_floatValue(string,chunkPos,myChunk) @@ -274,7 +237,7 @@ end function IO_floatValue !-------------------------------------------------------------------------------------------------- -!> @brief changes characters in string to lower case +!> @brief Convert characters in string to lower case. !-------------------------------------------------------------------------------------------------- pure function IO_lc(string) @@ -299,7 +262,7 @@ end function IO_lc !-------------------------------------------------------------------------------------------------- -! @brief Remove comments (characters beyond '#') and trailing space +! @brief Remove comments (characters beyond '#') and trailing space. ! ToDo: Discuss name (the trim aspect is not clear) !-------------------------------------------------------------------------------------------------- function IO_rmComment(line) @@ -320,7 +283,7 @@ end function IO_rmComment !-------------------------------------------------------------------------------------------------- -!> @brief return verified integer value in given string +!> @brief Return integer value from given string. !-------------------------------------------------------------------------------------------------- integer function IO_stringAsInt(string) @@ -341,7 +304,7 @@ end function IO_stringAsInt !-------------------------------------------------------------------------------------------------- -!> @brief return verified float value in given string +!> @brief Return float value from given string. !-------------------------------------------------------------------------------------------------- real(pReal) function IO_stringAsFloat(string) @@ -362,15 +325,15 @@ end function IO_stringAsFloat !-------------------------------------------------------------------------------------------------- -!> @brief return verified logical value in given string +!> @brief Return logical value from given string. !-------------------------------------------------------------------------------------------------- logical function IO_stringAsBool(string) character(len=*), intent(in) :: string !< string for conversion to int value - if (trim(adjustl(string)) == 'True') then + if (trim(adjustl(string)) == 'True' .or. trim(adjustl(string)) == 'true') then IO_stringAsBool = .true. - elseif (trim(adjustl(string)) == 'False') then + elseif (trim(adjustl(string)) == 'False' .or. trim(adjustl(string)) == 'false') then IO_stringAsBool = .false. else IO_stringAsBool = .false. @@ -381,7 +344,7 @@ end function IO_stringAsBool !-------------------------------------------------------------------------------------------------- -!> @brief write error statements to standard out and terminate the Marc/spectral run with exit #9xxx +!> @brief Write error statements to standard out and terminate the run with exit #9xxx !-------------------------------------------------------------------------------------------------- subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) @@ -389,9 +352,9 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) integer, optional, intent(in) :: el,ip,g,instance character(len=*), optional, intent(in) :: ext_msg - external :: quit - character(len=pStringLen) :: msg - character(len=pStringLen) :: formatString + external :: quit + character(len=:), allocatable :: msg + character(len=pStringLen) :: formatString select case (error_ID) @@ -408,8 +371,6 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) msg = 'write error for file:' case (102) msg = 'could not read file:' - case (103) - msg = 'could not assemble input files' case (106) msg = 'working directory does not exist:' @@ -423,6 +384,9 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) msg = 'invalid character for float:' case (113) msg = 'invalid character for logical:' + case (114) + msg = 'cannot decode base64 string:' + !-------------------------------------------------------------------------------------------------- ! lattice error messages case (130) @@ -445,7 +409,7 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) msg = 'not enough interaction parameters given' !-------------------------------------------------------------------------------------------------- -! errors related to the parsing of material.config +! errors related to the parsing of material.yaml case (140) msg = 'key not found' case (141) @@ -460,35 +424,21 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) msg = 'too many systems requested' case (146) msg = 'number of values does not match' - case (147) - msg = 'not supported anymore' case (148) - msg = 'Nconstituents mismatch between homogenization and microstructure' + msg = 'Nconstituents mismatch between homogenization and material' !-------------------------------------------------------------------------------------------------- ! material error messages and related messages in mesh case (150) msg = 'index out of bounds' case (151) - msg = 'microstructure has no constituents' + msg = 'material has no constituents' case (153) msg = 'sum of phase fractions differs from 1' - case (154) - msg = 'homogenization index out of bounds' case (155) - msg = 'microstructure index out of bounds' - case (157) - msg = 'invalid texture transformation specified' - case (160) - msg = 'no entries in config part' - case (161) - msg = 'config part found twice' - case (165) - msg = 'homogenization configuration' - case (170) - msg = 'no homogenization specified via State Variable 2' + msg = 'material index out of bounds' case (180) - msg = 'no microstructure specified via State Variable 3' + msg = 'missing/invalid material definition via State Variable 2' case (190) msg = 'unknown element type:' case (191) @@ -501,15 +451,13 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) case (201) msg = 'unknown plasticity specified:' - case (210) - msg = 'unknown material parameter:' case (211) msg = 'material parameter out of bounds:' + case (212) + msg = 'nonlocal model not supported' !-------------------------------------------------------------------------------------------------- ! numerics error messages - case (300) - msg = 'unknown numerics parameter:' case (301) msg = 'numerics parameter out of bounds:' @@ -529,13 +477,26 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) !-------------------------------------------------------------------------------------------------- ! user errors - case (600) - msg = 'Ping-Pong not possible when using non-DAMASK elements' - case (601) - msg = 'Ping-Pong needed when using non-local plasticity' case (602) msg = 'invalid selection for debug' +!------------------------------------------------------------------------------------------------ +! errors related to YAML data + case (701) + msg = 'Incorrect indent/Null value not allowed' + case (702) + msg = 'Invalid use of flow yaml' + case (704) + msg = 'Space expected after a colon for : pair' + case (705) + msg = 'Unsupported feature' + case (706) + msg = 'Type mismatch in YAML data node' + case (707) + msg = 'Abrupt end of file' + case (708) + msg = '--- expected after YAML file header' + !------------------------------------------------------------------------------------------------- ! errors related to the grid solver case (809) @@ -563,7 +524,9 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) case (842) msg = 'incomplete information in grid mesh header' case (843) - msg = 'microstructure count mismatch' + msg = 'material count mismatch' + case (844) + msg = 'invalid VTR file' case (846) msg = 'rotation for load case rotation ill-defined (R:RT != I)' case (891) @@ -582,29 +545,29 @@ subroutine IO_error(error_ID,el,ip,g,instance,ext_msg) end select !$OMP CRITICAL (write2out) - write(0,'(/,a)') ' ┌'//IO_DIVIDER//'┐' - write(0,'(a,24x,a,40x,a)') ' │','error', '│' - write(0,'(a,24x,i3,42x,a)') ' │',error_ID, '│' - write(0,'(a)') ' ├'//IO_DIVIDER//'┤' + write(IO_STDERR,'(/,a)') ' ┌'//IO_DIVIDER//'┐' + write(IO_STDERR,'(a,24x,a,40x,a)') ' │','error', '│' + write(IO_STDERR,'(a,24x,i3,42x,a)') ' │',error_ID, '│' + write(IO_STDERR,'(a)') ' ├'//IO_DIVIDER//'┤' write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a4,a',max(1,len_trim(msg)),',',& max(1,72-len_trim(msg)-4),'x,a)' - write(0,formatString) '│ ',trim(msg), '│' + write(IO_STDERR,formatString) '│ ',trim(msg), '│' if (present(ext_msg)) then write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a4,a',max(1,len_trim(ext_msg)),',',& max(1,72-len_trim(ext_msg)-4),'x,a)' - write(0,formatString) '│ ',trim(ext_msg), '│' + write(IO_STDERR,formatString) '│ ',trim(ext_msg), '│' endif if (present(el)) & - write(0,'(a19,1x,i9,44x,a3)') ' │ at element ',el, '│' + write(IO_STDERR,'(a19,1x,i9,44x,a3)') ' │ at element ',el, '│' if (present(ip)) & - write(0,'(a19,1x,i9,44x,a3)') ' │ at IP ',ip, '│' + write(IO_STDERR,'(a19,1x,i9,44x,a3)') ' │ at IP ',ip, '│' if (present(g)) & - write(0,'(a19,1x,i9,44x,a3)') ' │ at constituent',g, '│' + write(IO_STDERR,'(a19,1x,i9,44x,a3)') ' │ at constituent',g, '│' if (present(instance)) & - write(0,'(a19,1x,i9,44x,a3)') ' │ at instance ',instance, '│' - write(0,'(a,69x,a)') ' │', '│' - write(0,'(a)') ' └'//IO_DIVIDER//'┘' - flush(0) + write(IO_STDERR,'(a19,1x,i9,44x,a3)') ' │ at instance ',instance, '│' + write(IO_STDERR,'(a,69x,a)') ' │', '│' + write(IO_STDERR,'(a)') ' └'//IO_DIVIDER//'┘' + flush(IO_STDERR) call quit(9000+error_ID) !$OMP END CRITICAL (write2out) @@ -612,7 +575,7 @@ end subroutine IO_error !-------------------------------------------------------------------------------------------------- -!> @brief writes warning statement to standard out +!> @brief Write warning statement to standard out. !-------------------------------------------------------------------------------------------------- subroutine IO_warning(warning_ID,el,ip,g,ext_msg) @@ -620,8 +583,8 @@ subroutine IO_warning(warning_ID,el,ip,g,ext_msg) integer, optional, intent(in) :: el,ip,g character(len=*), optional, intent(in) :: ext_msg - character(len=pStringLen) :: msg - character(len=pStringLen) :: formatString + character(len=:), allocatable :: msg + character(len=pStringLen) :: formatString select case (warning_ID) case (1) @@ -660,6 +623,9 @@ subroutine IO_warning(warning_ID,el,ip,g,ext_msg) msg = 'polar decomposition failed' case (700) msg = 'unknown crystal symmetry' + case (709) + msg = 'read only the first document' + case (850) msg = 'max number of cut back exceeded, terminating' case default @@ -667,84 +633,84 @@ subroutine IO_warning(warning_ID,el,ip,g,ext_msg) end select !$OMP CRITICAL (write2out) - write(6,'(/,a)') ' ┌'//IO_DIVIDER//'┐' - write(6,'(a,24x,a,38x,a)') ' │','warning', '│' - write(6,'(a,24x,i3,42x,a)') ' │',warning_ID, '│' - write(6,'(a)') ' ├'//IO_DIVIDER//'┤' + write(IO_STDERR,'(/,a)') ' ┌'//IO_DIVIDER//'┐' + write(IO_STDERR,'(a,24x,a,38x,a)') ' │','warning', '│' + write(IO_STDERR,'(a,24x,i3,42x,a)') ' │',warning_ID, '│' + write(IO_STDERR,'(a)') ' ├'//IO_DIVIDER//'┤' write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a4,a',max(1,len_trim(msg)),',',& max(1,72-len_trim(msg)-4),'x,a)' - write(6,formatString) '│ ',trim(msg), '│' + write(IO_STDERR,formatString) '│ ',trim(msg), '│' if (present(ext_msg)) then write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a4,a',max(1,len_trim(ext_msg)),',',& max(1,72-len_trim(ext_msg)-4),'x,a)' - write(6,formatString) '│ ',trim(ext_msg), '│' + write(IO_STDERR,formatString) '│ ',trim(ext_msg), '│' endif if (present(el)) & - write(6,'(a19,1x,i9,44x,a3)') ' │ at element ',el, '│' + write(IO_STDERR,'(a19,1x,i9,44x,a3)') ' │ at element ',el, '│' if (present(ip)) & - write(6,'(a19,1x,i9,44x,a3)') ' │ at IP ',ip, '│' + write(IO_STDERR,'(a19,1x,i9,44x,a3)') ' │ at IP ',ip, '│' if (present(g)) & - write(6,'(a19,1x,i9,44x,a3)') ' │ at constituent',g, '│' - write(6,'(a,69x,a)') ' │', '│' - write(6,'(a)') ' └'//IO_DIVIDER//'┘' - flush(6) + write(IO_STDERR,'(a19,1x,i9,44x,a3)') ' │ at constituent',g, '│' + write(IO_STDERR,'(a,69x,a)') ' │', '│' + write(IO_STDERR,'(a)') ' └'//IO_DIVIDER//'┘' + flush(IO_STDERR) !$OMP END CRITICAL (write2out) end subroutine IO_warning !-------------------------------------------------------------------------------------------------- -!> @brief check correctness of some IO functions +!> @brief Check correctness of some IO functions. !-------------------------------------------------------------------------------------------------- -subroutine unitTest +subroutine selfTest integer, dimension(:), allocatable :: chunkPos character(len=:), allocatable :: str - if(dNeq(1.0_pReal, IO_stringAsFloat('1.0'))) call IO_error(0,ext_msg='IO_stringAsFloat') - if(dNeq(1.0_pReal, IO_stringAsFloat('1e0'))) call IO_error(0,ext_msg='IO_stringAsFloat') - if(dNeq(0.1_pReal, IO_stringAsFloat('1e-1'))) call IO_error(0,ext_msg='IO_stringAsFloat') + if(dNeq(1.0_pReal, IO_stringAsFloat('1.0'))) error stop 'IO_stringAsFloat' + if(dNeq(1.0_pReal, IO_stringAsFloat('1e0'))) error stop 'IO_stringAsFloat' + if(dNeq(0.1_pReal, IO_stringAsFloat('1e-1'))) error stop 'IO_stringAsFloat' - if(3112019 /= IO_stringAsInt( '3112019')) call IO_error(0,ext_msg='IO_stringAsInt') - if(3112019 /= IO_stringAsInt(' 3112019')) call IO_error(0,ext_msg='IO_stringAsInt') - if(-3112019 /= IO_stringAsInt('-3112019')) call IO_error(0,ext_msg='IO_stringAsInt') - if(3112019 /= IO_stringAsInt('+3112019 ')) call IO_error(0,ext_msg='IO_stringAsInt') + if(3112019 /= IO_stringAsInt( '3112019')) error stop 'IO_stringAsInt' + if(3112019 /= IO_stringAsInt(' 3112019')) error stop 'IO_stringAsInt' + if(-3112019 /= IO_stringAsInt('-3112019')) error stop 'IO_stringAsInt' + if(3112019 /= IO_stringAsInt('+3112019 ')) error stop 'IO_stringAsInt' - if(.not. IO_stringAsBool(' True')) call IO_error(0,ext_msg='IO_stringAsBool') - if(.not. IO_stringAsBool(' True ')) call IO_error(0,ext_msg='IO_stringAsBool') - if( IO_stringAsBool(' False')) call IO_error(0,ext_msg='IO_stringAsBool') - if( IO_stringAsBool('False')) call IO_error(0,ext_msg='IO_stringAsBool') + if(.not. IO_stringAsBool(' true')) error stop 'IO_stringAsBool' + if(.not. IO_stringAsBool(' True ')) error stop 'IO_stringAsBool' + if( IO_stringAsBool(' false')) error stop 'IO_stringAsBool' + if( IO_stringAsBool('False')) error stop 'IO_stringAsBool' - if(any([1,1,1] /= IO_stringPos('a'))) call IO_error(0,ext_msg='IO_stringPos') - if(any([2,2,3,5,5] /= IO_stringPos(' aa b'))) call IO_error(0,ext_msg='IO_stringPos') + if(any([1,1,1] /= IO_stringPos('a'))) error stop 'IO_stringPos' + if(any([2,2,3,5,5] /= IO_stringPos(' aa b'))) error stop 'IO_stringPos' str=' 1.0 xxx' chunkPos = IO_stringPos(str) - if(dNeq(1.0_pReal,IO_floatValue(str,chunkPos,1))) call IO_error(0,ext_msg='IO_floatValue') + if(dNeq(1.0_pReal,IO_floatValue(str,chunkPos,1))) error stop 'IO_floatValue' str='M 3112019 F' chunkPos = IO_stringPos(str) - if(3112019 /= IO_intValue(str,chunkPos,2)) call IO_error(0,ext_msg='IO_intValue') + if(3112019 /= IO_intValue(str,chunkPos,2)) error stop 'IO_intValue' - if(.not. IO_isBlank(' ')) call IO_error(0,ext_msg='IO_isBlank/1') - if(.not. IO_isBlank(' #isBlank')) call IO_error(0,ext_msg='IO_isBlank/2') - if( IO_isBlank(' i#s')) call IO_error(0,ext_msg='IO_isBlank/3') + if(.not. IO_isBlank(' ')) error stop 'IO_isBlank/1' + if(.not. IO_isBlank(' #isBlank')) error stop 'IO_isBlank/2' + if( IO_isBlank(' i#s')) error stop 'IO_isBlank/3' str = IO_rmComment('#') - if (str /= '' .or. len(str) /= 0) call IO_error(0,ext_msg='IO_rmComment/1') + if (str /= '' .or. len(str) /= 0) error stop 'IO_rmComment/1' str = IO_rmComment(' #') - if (str /= '' .or. len(str) /= 0) call IO_error(0,ext_msg='IO_rmComment/2') + if (str /= '' .or. len(str) /= 0) error stop 'IO_rmComment/2' str = IO_rmComment(' # ') - if (str /= '' .or. len(str) /= 0) call IO_error(0,ext_msg='IO_rmComment/3') + if (str /= '' .or. len(str) /= 0) error stop 'IO_rmComment/3' str = IO_rmComment(' # a') - if (str /= '' .or. len(str) /= 0) call IO_error(0,ext_msg='IO_rmComment/4') + if (str /= '' .or. len(str) /= 0) error stop 'IO_rmComment/4' str = IO_rmComment(' # a') - if (str /= '' .or. len(str) /= 0) call IO_error(0,ext_msg='IO_rmComment/5') + if (str /= '' .or. len(str) /= 0) error stop 'IO_rmComment/5' str = IO_rmComment(' a#') - if (str /= ' a' .or. len(str) /= 2) call IO_error(0,ext_msg='IO_rmComment/6') + if (str /= ' a' .or. len(str) /= 2) error stop 'IO_rmComment/6' str = IO_rmComment(' ab #') - if (str /= ' ab'.or. len(str) /= 3) call IO_error(0,ext_msg='IO_rmComment/7') + if (str /= ' ab'.or. len(str) /= 3) error stop 'IO_rmComment/7' -end subroutine unitTest +end subroutine selfTest end module IO diff --git a/src/YAML_parse.f90 b/src/YAML_parse.f90 new file mode 100644 index 000000000..8e20e0c29 --- /dev/null +++ b/src/YAML_parse.f90 @@ -0,0 +1,868 @@ +!---------------------------------------------------------------------------------------------------- +!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH +!> @author Sharan Roongta, Max-Planck-Institut für Eisenforschung GmbH +!> @brief Parser for YAML files +!> @details module converts a YAML input file to an equivalent YAML flow style which is then parsed. +!---------------------------------------------------------------------------------------------------- +module YAML_parse + use prec + use IO + use YAML_types + + implicit none + private + + public :: & + YAML_parse_init, & + YAML_parse_file + +contains + +!-------------------------------------------------------------------------------------------------- +!> @brief Do sanity checks. +!-------------------------------------------------------------------------------------------------- +subroutine YAML_parse_init + + call selfTest + +end subroutine YAML_parse_init + + +!-------------------------------------------------------------------------------------------------- +!> @brief Parse a YAML file into a a structure of nodes. +!-------------------------------------------------------------------------------------------------- +function YAML_parse_file(fname) result(node) + + character(len=*), intent(in) :: fname + class (tNode), pointer :: node + + node => parse_flow(to_flow(IO_read(fname))) + +end function YAML_parse_file + + +!-------------------------------------------------------------------------------------------------- +!> @brief reads the flow style string and stores it in the form of dictionaries, lists and scalars. +!> @details A node type pointer can either point to a dictionary, list or scalar type entities. +!-------------------------------------------------------------------------------------------------- +recursive function parse_flow(YAML_flow) result(node) + + character(len=*), intent(in) :: YAML_flow !< YAML file in flow style + class (tNode), pointer :: node + + class (tNode), pointer :: & + myVal + character(len=:), allocatable :: & + flow_string, & + key + integer :: & + e, & ! end position of dictionary or list + s, & ! start position of dictionary or list + d ! position of key: value separator (':') + + flow_string = trim(adjustl(YAML_flow(:))) + if (len_trim(flow_string) == 0) then + node => emptyDict + return + elseif (flow_string(1:1) == '{') then ! start of a dictionary + e = 1 + allocate(tDict::node) + do while (e < len_trim(flow_string)) + s = e + d = s + scan(flow_string(s+1:),':') + e = d + find_end(flow_string(d+1:),'}') + + key = trim(adjustl(flow_string(s+1:d-1))) + myVal => parse_flow(flow_string(d+1:e-1)) ! parse items (recursively) + + select type (node) + class is (tDict) + call node%set(key,myVal) + end select + end do + elseif (flow_string(1:1) == '[') then ! start of a list + e = 1 + allocate(tList::node) + do while (e < len_trim(flow_string)) + s = e + e = s + find_end(flow_string(s+1:),']') + myVal => parse_flow(flow_string(s+1:e-1)) ! parse items (recursively) + + select type (node) + class is (tList) + call node%append(myVal) + end select + end do + else ! scalar value + allocate(tScalar::node) + select type (node) + class is (tScalar) + node = trim(adjustl(flow_string)) + end select + endif + +end function parse_flow + + +!-------------------------------------------------------------------------------------------------- +!> @brief finds location of chunk end: ',' or '}' or ']' +!> @details leaves nested lists ( '[...]' and dicts '{...}') intact +!-------------------------------------------------------------------------------------------------- +integer function find_end(str,e_char) + + character(len=*), intent(in) :: str !< chunk of YAML flow string + character, intent(in) :: e_char !< end of list/dict ( '}' or ']') + + integer :: N_sq, & !< number of open square brackets + N_cu, & !< number of open curly brackets + i + + N_sq = 0 + N_cu = 0 + do i = 1, len_trim(str) + if (N_sq==0 .and. N_cu==0 .and. scan(str(i:i),e_char//',') == 1) exit + N_sq = N_sq + merge(1,0,str(i:i) == '[') + N_cu = N_cu + merge(1,0,str(i:i) == '{') + N_sq = N_sq - merge(1,0,str(i:i) == ']') + N_cu = N_cu - merge(1,0,str(i:i) == '}') + enddo + find_end = i + +end function find_end + + +!-------------------------------------------------------------------------------------------------- +! @brief Returns Indentation. +! @details It determines the indentation level for a given block/line. +! In cases for nested lists, an offset is added to determine the indent of the item block (skip +! leading dashes) +!-------------------------------------------------------------------------------------------------- +integer function indentDepth(line,offset) + + character(len=*), intent(in) :: line + integer, optional,intent(in) :: offset + + indentDepth = verify(line,IO_WHITESPACE) -1 + if(present(offset)) indentDepth = indentDepth + offset + +end function indentDepth + + +!-------------------------------------------------------------------------------------------------- +! @brief check whether a string is in flow style, i.e. starts with '{' or '[' +!-------------------------------------------------------------------------------------------------- +logical function isFlow(line) + + character(len=*), intent(in) :: line + + isFlow = index(adjustl(line),'[') == 1 .or. index(adjustl(line),'{') == 1 + +end function isFlow + + +!-------------------------------------------------------------------------------------------------- +! @brief check whether a string is a scalar item, i.e. starts without any special symbols +!-------------------------------------------------------------------------------------------------- +logical function isScalar(line) + + character(len=*), intent(in) :: line + + isScalar = (.not.isKeyValue(line) .and. .not.isKey(line) .and. .not.isListItem(line) & + .and. .not.isFlow(line)) + +end function isScalar + + +!-------------------------------------------------------------------------------------------------- +! @brief check whether a string is a list item, i.e. starts with '-' +!-------------------------------------------------------------------------------------------------- +logical function isListItem(line) + + character(len=*), intent(in) :: line + + isListItem = .false. + if(len_trim(adjustl(line))> 2 .and. index(trim(adjustl(line)), '-') == 1) then + isListItem = scan(trim(adjustl(line)),' ') == 2 + else + isListItem = trim(adjustl(line)) == '-' + endif + +end function isListItem + + +!-------------------------------------------------------------------------------------------------- +! @brief check whether a string contains a key value pair of the for ': ' +!-------------------------------------------------------------------------------------------------- +logical function isKeyValue(line) + + character(len=*), intent(in) :: line + isKeyValue = .false. + + if( .not. isKey(line) .and. index(IO_rmComment(line),':') > 0 .and. .not. isFlow(line)) then + if(index(IO_rmComment(line),': ') > 0) then + isKeyValue = .true. + else + call IO_error(704,ext_msg=line) + endif + endif + +end function isKeyValue + + +!-------------------------------------------------------------------------------------------------- +! @brief check whether a string contains a key without a value, i.e. it ends with ':' +! ToDo: check whether this is safe for trailing spaces followed by a new line character +!-------------------------------------------------------------------------------------------------- +logical function isKey(line) + + character(len=*), intent(in) :: line + + if(len(IO_rmComment(line)) == 0) then + isKey = .false. + else + isKey = index(IO_rmComment(line),':',back=.false.) == len(IO_rmComment(line)) .and. & + index(IO_rmComment(line),':',back=.true.) == len(IO_rmComment(line)) .and. & + .not. isFlow(line) + endif + +end function isKey + + +!-------------------------------------------------------------------------------------------------- +! @brief check whether a string is a list in flow style +!-------------------------------------------------------------------------------------------------- +logical function isFlowList(line) + + character(len=*), intent(in) :: line + + isFlowList = index(adjustl(line),'[') == 1 + +end function isFlowList + + +!-------------------------------------------------------------------------------------------------- +! @brief skip empty lines +! @details update start position in the block by skipping empty lines if present. +!-------------------------------------------------------------------------------------------------- +subroutine skip_empty_lines(blck,s_blck) + + character(len=*), intent(in) :: blck + integer, intent(inout) :: s_blck + + logical :: empty + + empty = .true. + do while(empty .and. len_trim(blck(s_blck:)) /= 0) + empty = len_trim(IO_rmComment(blck(s_blck:s_blck + index(blck(s_blck:),IO_EOL) - 2))) == 0 + if(empty) s_blck = s_blck + index(blck(s_blck:),IO_EOL) + enddo + +end subroutine skip_empty_lines + + +!-------------------------------------------------------------------------------------------------- +! @brief skip file header +! @details update start position in the block by skipping file header if present. +!-------------------------------------------------------------------------------------------------- +subroutine skip_file_header(blck,s_blck) + + character(len=*), intent(in) :: blck + integer, intent(inout) :: s_blck + + character(len=:), allocatable :: line + + line = IO_rmComment(blck(s_blck:s_blck + index(blck(s_blck:),IO_EOL) - 2)) + if(index(adjustl(line),'%YAML') == 1) then + s_blck = s_blck + index(blck(s_blck:),IO_EOL) + call skip_empty_lines(blck,s_blck) + if(trim(IO_rmComment(blck(s_blck:s_blck + index(blck(s_blck:),IO_EOL) - 2))) == '---') then + s_blck = s_blck + index(blck(s_blck:),IO_EOL) + else + call IO_error(708,ext_msg = line) + endif + endif + +end subroutine skip_file_header + + +!-------------------------------------------------------------------------------------------------- +!> @brief check if a line in flow YAML starts and ends in the same line +!-------------------------------------------------------------------------------------------------- +logical function flow_is_closed(str,e_char) + + character(len=*), intent(in) :: str + character, intent(in) :: e_char !< end of list/dict ( '}' or ']') + integer :: N_sq, & !< number of open square brackets + N_cu, & !< number of open curly brackets + i + character(len=:), allocatable:: line + + flow_is_closed = .false. + N_sq = 0 + N_cu = 0 + if(e_char == ']') line = str(index(str(:),'[')+1:) + if(e_char == '}') line = str(index(str(:),'{')+1:) + + do i = 1, len_trim(line) + flow_is_closed = (N_sq==0 .and. N_cu==0 .and. scan(line(i:i),e_char) == 1) + N_sq = N_sq + merge(1,0,line(i:i) == '[') + N_cu = N_cu + merge(1,0,line(i:i) == '{') + N_sq = N_sq - merge(1,0,line(i:i) == ']') + N_cu = N_cu - merge(1,0,line(i:i) == '}') + enddo + +end function flow_is_closed + + +!-------------------------------------------------------------------------------------------------- +!> @brief return the flow YAML line without line break +!-------------------------------------------------------------------------------------------------- +subroutine remove_line_break(blck,s_blck,e_char,flow_line) + + character(len=*), intent(in) :: blck !< YAML in mixed style + integer, intent(inout) :: s_blck + character, intent(in) :: e_char !< end of list/dict ( '}' or ']') + character(len=:), allocatable, intent(out) :: flow_line + logical :: line_end + + line_end =.false. + flow_line = '' + + do while(.not.line_end) + flow_line = flow_line//IO_rmComment(blck(s_blck:s_blck + index(blck(s_blck:),IO_EOL) - 2))//' ' + line_end = flow_is_closed(flow_line,e_char) + s_blck = s_blck + index(blck(s_blck:),IO_EOL) + enddo + +end subroutine remove_line_break + + +!-------------------------------------------------------------------------------------------------- +! @brief reads a line of YAML block which is already in flow style +! @details Dicts should be enlcosed within '{}' for it to be consistent with DAMASK YAML parser +!-------------------------------------------------------------------------------------------------- +recursive subroutine line_isFlow(flow,s_flow,line) + + character(len=*), intent(inout) :: flow !< YAML in flow style only + integer, intent(inout) :: s_flow !< start position in flow + character(len=*), intent(in) :: line + + integer :: & + s, & + list_chunk, & + dict_chunk + + if(index(adjustl(line),'[') == 1) then + s = index(line,'[') + flow(s_flow:s_flow) = '[' + s_flow = s_flow +1 + do while(s < len_trim(line)) + list_chunk = s + find_end(line(s+1:),']') + if(iskeyValue(line(s+1:list_chunk-1))) then + flow(s_flow:s_flow) = '{' + s_flow = s_flow +1 + call keyValue_toFlow(flow,s_flow,line(s+1:list_chunk-1)) + flow(s_flow:s_flow) = '}' + s_flow = s_flow +1 + elseif(isFlow(line(s+1:list_chunk-1))) then + call line_isFlow(flow,s_flow,line(s+1:list_chunk-1)) + else + call line_toFlow(flow,s_flow,line(s+1:list_chunk-1)) + endif + flow(s_flow:s_flow+1) = ', ' + s_flow = s_flow +2 + s = s + find_end(line(s+1:),']') + enddo + s_flow = s_flow - 1 + if (flow(s_flow-1:s_flow-1) == ',') s_flow = s_flow - 1 + flow(s_flow:s_flow) = ']' + s_flow = s_flow+1 + + elseif(index(adjustl(line),'{') == 1) then + s = index(line,'{') + flow(s_flow:s_flow) = '{' + s_flow = s_flow +1 + do while(s < len_trim(line)) + dict_chunk = s + find_end(line(s+1:),'}') + if( .not. iskeyValue(line(s+1:dict_chunk-1))) call IO_error(705,ext_msg=line) + call keyValue_toFlow(flow,s_flow,line(s+1:dict_chunk-1)) + flow(s_flow:s_flow+1) = ', ' + s_flow = s_flow +2 + s = s + find_end(line(s+1:),'}') + enddo + s_flow = s_flow -1 + if(flow(s_flow-1:s_flow-1) == ',') s_flow = s_flow -1 + flow(s_flow:s_flow) = '}' + s_flow = s_flow +1 + else + call line_toFlow(flow,s_flow,line) + endif + +end subroutine line_isFlow + + +!------------------------------------------------------------------------------------------------- +! @brief reads a line of YAML block of type : and places it in the YAML flow style structure +! @details Makes sure that the is consistent with the input required in DAMASK YAML parser +!------------------------------------------------------------------------------------------------- +recursive subroutine keyValue_toFlow(flow,s_flow,line) + + character(len=*), intent(inout) :: flow !< YAML in flow style only + integer, intent(inout) :: s_flow !< start position in flow + character(len=*), intent(in) :: line + + character(len=:), allocatable :: line_asStandard ! standard form of : + integer :: & + d_flow, & + col_pos, & + offset_value + + col_pos = index(line,':') + if(isFlow(line(col_pos+1:))) then + d_flow = len_trim(adjustl(line(:col_pos))) + flow(s_flow:s_flow+d_flow+1) = trim(adjustl(line(:col_pos)))//' ' + s_flow = s_flow + d_flow+1 + call line_isFlow(flow,s_flow,line(col_pos+1:)) + else + offset_value = indentDepth(line(col_pos+2:)) + line_asStandard = line(:col_pos+1)//line(col_pos+2+offset_value:) + call line_toFlow(flow,s_flow,line_asStandard) + endif + +end subroutine keyValue_toFlow + + +!------------------------------------------------------------------------------------------------- +! @brief reads a line of YAML block and places it in the YAML flow style structure +!------------------------------------------------------------------------------------------------- +subroutine line_toFlow(flow,s_flow,line) + + character(len=*), intent(inout) :: flow !< YAML in flow style only + integer, intent(inout) :: s_flow !< start position in flow + character(len=*), intent(in) :: line + + integer :: & + d_flow + + d_flow = len_trim(adjustl(line)) + flow(s_flow:s_flow+d_flow) = trim(adjustl(line)) + s_flow = s_flow + d_flow + +end subroutine line_toFlow + + +!------------------------------------------------------------------------------------------------- +! @brief convert a yaml list in block style to a yaml list in flow style +! @details enters the function when encountered with the list indicator '- ' +! reads each scalar list item and separates each other with a ',' +! If list item is non scalar, it stores the offset for that list item block +! Increase in the indentation level or when list item is not scalar -> 'decide' function is called. +! decrease in indentation level indicates the end of an indentation block +!------------------------------------------------------------------------------------------------- +recursive subroutine lst(blck,flow,s_blck,s_flow,offset) + + character(len=*), intent(in) :: blck !< YAML in mixed style + character(len=*), intent(inout) :: flow !< YAML in flow style only + integer, intent(inout) :: s_blck, & !< start position in blck + s_flow, & !< start position in flow + offset !< stores leading '- ' in nested lists + character(len=:), allocatable :: line,flow_line + integer :: e_blck,indent + + indent = indentDepth(blck(s_blck:),offset) + do while (s_blck <= len_trim(blck)) + e_blck = s_blck + index(blck(s_blck:),IO_EOL) - 2 + line = IO_rmComment(blck(s_blck:e_blck)) + if(trim(line) == '---' .or. trim(line) == '...') then + exit + elseif (len_trim(line) == 0) then + s_blck = e_blck + 2 ! forward to next line + cycle + elseif(indentDepth(line,offset) > indent) then + call decide(blck,flow,s_blck,s_flow,offset) + offset = 0 + flow(s_flow:s_flow+1) = ', ' + s_flow = s_flow + 2 + elseif(indentDepth(line,offset) < indent .or. .not. isListItem(line)) then + offset = 0 + exit ! job done (lower level) + else + if(trim(adjustl(line)) == '-') then ! list item in next line + s_blck = e_blck + 2 + call skip_empty_lines(blck,s_blck) + e_blck = s_blck + index(blck(s_blck:),IO_EOL) - 2 + line = IO_rmComment(blck(s_blck:e_blck)) + if(trim(line) == '---') call IO_error(707,ext_msg=line) + if(indentDepth(line) < indent .or. indentDepth(line) == indent) & + call IO_error(701,ext_msg=line) + + if(isScalar(line)) then + call line_toFlow(flow,s_flow,line) + s_blck = e_blck +2 + offset = 0 + elseif(isFlow(line)) then + if(isFlowList(line)) then + call remove_line_break(blck,s_blck,']',flow_line) + else + call remove_line_break(blck,s_blck,'}',flow_line) + endif + call line_isFlow(flow,s_flow,flow_line) + offset = 0 + endif + else ! list item in the same line + line = line(indentDepth(line)+3:) + if(isScalar(line)) then + call line_toFlow(flow,s_flow,line) + s_blck = e_blck +2 + offset = 0 + elseif(isFlow(line)) then + s_blck = s_blck + index(blck(s_blck:),'-') + if(isFlowList(line)) then + call remove_line_break(blck,s_blck,']',flow_line) + else + call remove_line_break(blck,s_blck,'}',flow_line) + endif + call line_isFlow(flow,s_flow,flow_line) + offset = 0 + else ! non scalar list item + offset = offset + indentDepth(blck(s_blck:))+1 ! offset in spaces to be ignored + s_blck = s_blck + index(blck(s_blck:e_blck),'-') ! s_blck after '-' symbol + endif + end if + end if + + if(isScalar(line) .or. isFlow(line)) then + flow(s_flow:s_flow+1) = ', ' + s_flow = s_flow + 2 + endif + + end do + + s_flow = s_flow - 1 + if (flow(s_flow-1:s_flow-1) == ',') s_flow = s_flow - 1 + +end subroutine lst + + +!-------------------------------------------------------------------------------------------------- +! @brief convert a yaml dict in block style to a yaml dict in flow style +! @details enters the function when encountered with the dictionary indicator ':' +! parses each line in the block and compares indentation of a line with the preceding line +! upon increase in indentation level -> 'decide' function decides if the line is a list or dict +! decrease in indentation indicates the end of an indentation block +!-------------------------------------------------------------------------------------------------- +recursive subroutine dct(blck,flow,s_blck,s_flow,offset) + + character(len=*), intent(in) :: blck !< YAML in mixed style + character(len=*), intent(inout) :: flow !< YAML in flow style only + integer, intent(inout) :: s_blck, & !< start position in blck + s_flow, & !< start position in flow + offset + + character(len=:), allocatable :: line,flow_line + integer :: e_blck,indent,col_pos + logical :: previous_isKey + + previous_isKey = .false. + + indent = indentDepth(blck(s_blck:),offset) + + do while (s_blck <= len_trim(blck)) + e_blck = s_blck + index(blck(s_blck:),IO_EOL) - 2 + line = IO_rmComment(blck(s_blck:e_blck)) + if(trim(line) == '---' .or. trim(line) == '...') then + exit + elseif (len_trim(line) == 0) then + s_blck = e_blck + 2 ! forward to next line + cycle + elseif(indentDepth(line,offset) < indent) then + if(isScalar(line) .or. isFlow(line) .and. previous_isKey) & + call IO_error(701,ext_msg=line) + offset = 0 + exit ! job done (lower level) + elseif(indentDepth(line,offset) > indent .or. isListItem(line)) then + offset = 0 + call decide(blck,flow,s_blck,s_flow,offset) + else + if(isScalar(line)) call IO_error(701,ext_msg=line) + if(isFlow(line)) call IO_error(702,ext_msg=line) + + line = line(indentDepth(line)+1:) + if(previous_isKey) then + flow(s_flow-1:s_flow) = ', ' + s_flow = s_flow + 1 + endif + + if(isKeyValue(line)) then + col_pos = index(line,':') + if(isFlow(line(col_pos+1:))) then + if(isFlowList(line(col_pos+1:))) then + call remove_line_break(blck,s_blck,']',flow_line) + else + call remove_line_break(blck,s_blck,'}',flow_line) + endif + call keyValue_toFlow(flow,s_flow,flow_line) + else + call keyValue_toFlow(flow,s_flow,line) + s_blck = e_blck + 2 + endif + else + call line_toFlow(flow,s_flow,line) + s_blck = e_blck + 2 + endif + end if + + if(isScalar(line) .or. isKeyValue(line)) then + flow(s_flow:s_flow) = ',' + s_flow = s_flow + 1 + previous_isKey = .false. + else + previous_isKey = .true. + endif + + flow(s_flow:s_flow) = ' ' + s_flow = s_flow + 1 + offset = 0 + end do + + s_flow = s_flow - 1 + if (flow(s_flow-1:s_flow-1) == ',') s_flow = s_flow - 1 + +end subroutine dct + + +!-------------------------------------------------------------------------------------------------- +! @brief decide whether next block is list or dict +!-------------------------------------------------------------------------------------------------- +recursive subroutine decide(blck,flow,s_blck,s_flow,offset) + + character(len=*), intent(in) :: blck !< YAML in mixed style + character(len=*), intent(inout) :: flow !< YAML in flow style only + integer, intent(inout) :: s_blck, & !< start position in blck + s_flow, & !< start position in flow + offset + integer :: e_blck + character(len=:), allocatable :: line,flow_line + + if(s_blck <= len(blck)) then + call skip_empty_lines(blck,s_blck) + e_blck = s_blck + index(blck(s_blck:),IO_EOL) - 2 + line = IO_rmComment(blck(s_blck:e_blck)) + if(trim(line) == '---' .or. trim(line) == '...') then + continue ! end parsing at this point but not stop the simulation + elseif(len_trim(line) == 0) then + s_blck = e_blck +2 + call decide(blck,flow,s_blck,s_flow,offset) + elseif (isListItem(line)) then + flow(s_flow:s_flow) = '[' + s_flow = s_flow + 1 + call lst(blck,flow,s_blck,s_flow,offset) + flow(s_flow:s_flow) = ']' + s_flow = s_flow + 1 + elseif(isKey(line) .or. isKeyValue(line)) then + flow(s_flow:s_flow) = '{' + s_flow = s_flow + 1 + call dct(blck,flow,s_blck,s_flow,offset) + flow(s_flow:s_flow) = '}' + s_flow = s_flow + 1 + elseif(isFlow(line)) then + if(isFlowList(line)) then + call remove_line_break(blck,s_blck,']',flow_line) + else + call remove_line_break(blck,s_blck,'}',flow_line) + endif + call line_isFlow(flow,s_flow,line) + else + line = line(indentDepth(line)+1:) + call line_toFlow(flow,s_flow,line) + s_blck = e_blck +2 + endif + endif + +end subroutine + + +!-------------------------------------------------------------------------------------------------- +! @brief convert all block style YAML parts to flow style +!-------------------------------------------------------------------------------------------------- +function to_flow(blck) + + character(len=:), allocatable :: to_flow + character(len=*), intent(in) :: blck !< YAML mixed style + + character(len=:), allocatable :: line + integer :: s_blck, & !< start position in blck + s_flow, & !< start position in flow + offset, & !< counts leading '- ' in nested lists + end_line + + allocate(character(len=len(blck)*2)::to_flow) + s_flow = 1 + s_blck = 1 + offset = 0 + + if(len_trim(blck) /= 0) then + call skip_empty_lines(blck,s_blck) + call skip_file_header(blck,s_blck) + line = IO_rmComment(blck(s_blck:s_blck + index(blck(s_blck:),IO_EOL) - 2)) + if(trim(line) == '---') s_blck = s_blck + index(blck(s_blck:),IO_EOL) + call decide(blck,to_flow,s_blck,s_flow,offset) + endif + line = IO_rmComment(blck(s_blck:s_blck+index(blck(s_blck:),IO_EOL)-2)) + if(trim(line)== '---') call IO_warning(709,ext_msg=line) + to_flow = trim(to_flow(:s_flow-1)) + end_line = index(to_flow,IO_EOL) + if(end_line > 0) to_flow = to_flow(:end_line-1) + +end function to_flow + + +!-------------------------------------------------------------------------------------------------- +!> @brief Check correctness of some YAML functions. +!-------------------------------------------------------------------------------------------------- +subroutine selfTest + + if (indentDepth(' a') /= 1) error stop 'indentDepth' + if (indentDepth('a') /= 0) error stop 'indentDepth' + if (indentDepth('x ') /= 0) error stop 'indentDepth' + + if ( isFlow(' a')) error stop 'isFLow' + if (.not. isFlow('{')) error stop 'isFlow' + if (.not. isFlow(' [')) error stop 'isFlow' + + if ( isListItem(' a')) error stop 'isListItem' + if ( isListItem(' -b')) error stop 'isListItem' + if (.not. isListItem('- a ')) error stop 'isListItem' + if (.not. isListItem('- -a ')) error stop 'isListItem' + + if ( isKeyValue(' a')) error stop 'isKeyValue' + if ( isKeyValue(' a: ')) error stop 'isKeyValue' + if (.not. isKeyValue(' a: b')) error stop 'isKeyValue' + + if ( isKey(' a')) error stop 'isKey' + if ( isKey('{a:b}')) error stop 'isKey' + if ( isKey(' a:b')) error stop 'isKey' + if (.not. isKey(' a: ')) error stop 'isKey' + if (.not. isKey(' a:')) error stop 'isKey' + if (.not. isKey(' a: #')) error stop 'isKey' + + if( isScalar('a: ')) error stop 'isScalar' + if( isScalar('a: b')) error stop 'isScalar' + if( isScalar('{a:b}')) error stop 'isScalar' + if( isScalar('- a:')) error stop 'isScalar' + if(.not. isScalar(' a')) error stop 'isScalar' + + basic_list: block + character(len=*), parameter :: block_list = & + " - Casablanca"//IO_EOL//& + " - North by Northwest"//IO_EOL + character(len=*), parameter :: block_list_newline = & + " -"//IO_EOL//& + " Casablanca"//IO_EOL//& + " -"//IO_EOL//& + " North by Northwest"//IO_EOL + character(len=*), parameter :: flow_list = & + "[Casablanca, North by Northwest]" + + if (.not. to_flow(block_list) == flow_list) error stop 'to_flow' + if (.not. to_flow(block_list_newline) == flow_list) error stop 'to_flow' + end block basic_list + + basic_dict: block + character(len=*), parameter :: block_dict = & + " aa: Casablanca"//IO_EOL//& + " bb: North by Northwest"//IO_EOL + character(len=*), parameter :: block_dict_newline = & + " aa:"//IO_EOL//& + " Casablanca"//IO_EOL//& + " bb:"//IO_EOL//& + " North by Northwest"//IO_EOL + character(len=*), parameter :: flow_dict = & + "{aa: Casablanca, bb: North by Northwest}" + + if (.not. to_flow(block_dict) == flow_dict) error stop 'to_flow' + if (.not. to_flow(block_dict_newline) == flow_dict) error stop 'to_flow' + end block basic_dict + + only_flow: block + character(len=*), parameter :: flow_dict = & + " {a: [b,c: {d: e}, f: g, e]}"//IO_EOL + character(len=*), parameter :: flow_list = & + " [a,b: c, d,e: {f: g}]"//IO_EOL + character(len=*), parameter :: flow_1 = & + "{a: [b, {c: {d: e}}, {f: g}, e]}" + character(len=*), parameter :: flow_2 = & + "[a, {b: c}, d, {e: {f: g}}]" + + if (.not. to_flow(flow_dict) == flow_1) error stop 'to_flow' + if (.not. to_flow(flow_list) == flow_2) error stop 'to_flow' + end block only_flow + + basic_flow: block + character(len=*), parameter :: flow_braces = & + " source: [{param: 1}, {param: 2}, {param: 3}, {param: 4}]"//IO_EOL + character(len=*), parameter :: flow_mixed_braces = & + " source: [param: 1, {param: 2}, param: 3, {param: 4}]"//IO_EOL + character(len=*), parameter :: flow = & + "{source: [{param: 1}, {param: 2}, {param: 3}, {param: 4}]}" + + if (.not. to_flow(flow_braces) == flow) error stop 'to_flow' + if (.not. to_flow(flow_mixed_braces) == flow) error stop 'to_flow' + end block basic_flow + + multi_line_flow1: block + character(len=*), parameter :: flow_multi = & + "%YAML 1.1"//IO_EOL//& + "---"//IO_EOL//& + "a: [b,"//IO_EOL//& + "c: "//IO_EOL//& + "d, e]"//IO_EOL + + character(len=*), parameter :: flow = & + "{a: [b, {c: d}, e]}" + + if( .not. to_flow(flow_multi) == flow) error stop 'to_flow' + end block multi_line_flow1 + + multi_line_flow2: block + character(len=*), parameter :: flow_multi = & + "%YAML 1.1"//IO_EOL//& + "---"//IO_EOL//& + "-"//IO_EOL//& + " a: {b:"//IO_EOL//& + "[c,"//IO_EOL//& + "d"//IO_EOL//& + "e, f]}"//IO_EOL + + character(len=*), parameter :: flow = & + "[{a: {b: [c, d e, f]}}]" + + if( .not. to_flow(flow_multi) == flow) error stop 'to_flow' + end block multi_line_flow2 + + basic_mixed: block + character(len=*), parameter :: block_flow = & + "%YAML 1.1"//IO_EOL//& + " "//IO_EOL//& + " "//IO_EOL//& + "---"//IO_EOL//& + " aa:"//IO_EOL//& + " - "//IO_EOL//& + " "//IO_EOL//& + " "//IO_EOL//& + " param_1: [a: b, c, {d: {e: [f: g, h]}}]"//IO_EOL//& + " - c: d"//IO_EOL//& + " bb:"//IO_EOL//& + " "//IO_EOL//& + " - "//IO_EOL//& + " {param_1: [{a: b}, c, {d: {e: [{f: g}, h]}}]}"//IO_EOL//& + "..."//IO_EOL + character(len=*), parameter :: mixed_flow = & + "{aa: [{param_1: [{a: b}, c, {d: {e: [{f: g}, h]}}]}, {c: d}], bb: [{param_1: [{a: b}, c, {d: {e: [{f: g}, h]}}]}]}" + + if(.not. to_flow(block_flow) == mixed_flow) error stop 'to_flow' + end block basic_mixed + +end subroutine selfTest + +end module YAML_parse diff --git a/src/YAML_types.f90 b/src/YAML_types.f90 index 07541bc1a..b71261d9c 100644 --- a/src/YAML_types.f90 +++ b/src/YAML_types.f90 @@ -8,32 +8,29 @@ !-------------------------------------------------------------------------------------------------- module YAML_types - use IO use prec implicit none - private - public :: & - tNode, & - tScalar, & - tDict, & - tList, & - YAML_types_init - - type, abstract :: tNode + type, abstract, public :: tNode integer :: length = 0 contains procedure(asFormattedString), deferred :: asFormattedString procedure :: & asScalar => tNode_asScalar + procedure :: & + isScalar => tNode_isScalar procedure :: & asList => tNode_asList + procedure :: & + isList => tNode_isList procedure :: & asDict => tNode_asDict - procedure :: & + procedure :: & + isDict => tNode_isDict + procedure :: & tNode_get_byIndex => tNode_get_byIndex procedure :: & tNode_get_byIndex_asFloat => tNode_get_byIndex_asFloat @@ -71,7 +68,11 @@ module YAML_types tNode_get_byKey_asStrings => tNode_get_byKey_asStrings procedure :: & getIndex => tNode_get_byKey_asIndex - + procedure :: & + getKey => tNode_getKey_byIndex + procedure :: & + contains => tNode_contains + generic :: & get => tNode_get_byIndex, & tNode_get_byKey @@ -102,7 +103,7 @@ module YAML_types end type tNode - type, extends(tNode) :: tScalar + type, extends(tNode), public :: tScalar character(len=:), allocatable, private :: value @@ -118,7 +119,7 @@ module YAML_types asString => tScalar_asString end type tScalar - type, extends(tNode) :: tList + type, extends(tNode), public :: tList class(tItem), pointer :: first => null() @@ -136,7 +137,7 @@ module YAML_types final :: tList_finalize end type tList - type, extends(tList) :: tDict + type, extends(tList), public :: tDict contains procedure :: asFormattedString => tDict_asFormattedString procedure :: set => tDict_set @@ -152,6 +153,11 @@ module YAML_types final :: tItem_finalize end type tItem + type(tDict), target, public :: & + emptyDict + type(tList), target, public :: & + emptyList + abstract interface recursive function asFormattedString(self,indent) @@ -171,24 +177,29 @@ module YAML_types module procedure tScalar_assign__ end interface assignment (=) + public :: & + YAML_types_init, & + output_asStrings, & !ToDo: Hack for GNU. Remove later + assignment(=) + contains !-------------------------------------------------------------------------------------------------- -!> @brief do sanity checks +!> @brief Do sanity checks. !-------------------------------------------------------------------------------------------------- subroutine YAML_types_init - write(6,'(/,a)') ' <<<+- YAML_types init -+>>>' + print'(/,a)', ' <<<+- YAML_types init -+>>>' - call unitTest + call selfTest end subroutine YAML_types_init !-------------------------------------------------------------------------------------------------- -!> @brief check correctness of some type bound procedures +!> @brief Check correctness of some type bound procedures. !-------------------------------------------------------------------------------------------------- -subroutine unitTest +subroutine selfTest class(tNode), pointer :: s1,s2 allocate(tScalar::s1) @@ -196,11 +207,11 @@ subroutine unitTest select type(s1) class is(tScalar) s1 = '1' - if(s1%asInt() /= 1) call IO_error(0,ext_msg='tScalar_asInt') - if(dNeq(s1%asFloat(),1.0_pReal)) call IO_error(0,ext_msg='tScalar_asFloat') - s1 = 'True' - if(.not. s1%asBool()) call IO_error(0,ext_msg='tScalar_asBool') - if(s1%asString() /= 'True') call IO_error(0,ext_msg='tScalar_asString') + if(s1%asInt() /= 1) error stop 'tScalar_asInt' + if(dNeq(s1%asFloat(),1.0_pReal)) error stop 'tScalar_asFloat' + s1 = 'true' + if(.not. s1%asBool()) error stop 'tScalar_asBool' + if(s1%asString() /= 'true') error stop 'tScalar_asString' end select block @@ -221,18 +232,18 @@ subroutine unitTest call l1%append(s1) call l1%append(s2) n => l1 - if(any(l1%asInts() /= [2,3])) call IO_error(0,ext_msg='tList_asInts') - if(any(dNeq(l1%asFloats(),[2.0_pReal,3.0_pReal]))) call IO_error(0,ext_msg='tList_asFloats') - if(n%get_asInt(1) /= 2) call IO_error(0,ext_msg='byIndex_asInt') - if(dNeq(n%get_asFloat(2),3.0_pReal)) call IO_error(0,ext_msg='byIndex_asFloat') + if(any(l1%asInts() /= [2,3])) error stop 'tList_asInts' + if(any(dNeq(l1%asFloats(),[2.0_pReal,3.0_pReal]))) error stop 'tList_asFloats' + if(n%get_asInt(1) /= 2) error stop 'byIndex_asInt' + if(dNeq(n%get_asFloat(2),3.0_pReal)) error stop 'byIndex_asFloat' endselect allocate(tList::l2) select type(l2) class is(tList) call l2%append(l1) - if(any(l2%get_asInts(1) /= [2,3])) call IO_error(0,ext_msg='byIndex_asInts') - if(any(dNeq(l2%get_asFloats(1),[2.0_pReal,3.0_pReal]))) call IO_error(0,ext_msg='byIndex_asFloats') + if(any(l2%get_asInts(1) /= [2,3])) error stop 'byIndex_asInts' + if(any(dNeq(l2%get_asFloats(1),[2.0_pReal,3.0_pReal]))) error stop 'byIndex_asFloats' n => l2 end select deallocate(n) @@ -247,20 +258,20 @@ subroutine unitTest allocate(tScalar::s2) s3 => s1%asScalar() s4 => s2%asScalar() - s3 = 'True' + s3 = 'true' s4 = 'False' call l1%append(s1) call l1%append(s2) n => l1 - if(any(l1%asBools() .neqv. [.true., .false.])) call IO_error(0,ext_msg='tList_asBools') - if(any(l1%asStrings() /= ['True ','False'])) call IO_error(0,ext_msg='tList_asStrings') - if(n%get_asBool(2)) call IO_error(0,ext_msg='byIndex_asBool') - if(n%get_asString(1) /= 'True') call IO_error(0,ext_msg='byIndex_asString') + if(any(l1%asBools() .neqv. [.true., .false.])) error stop 'tList_asBools' + if(any(l1%asStrings() /= ['true ','False'])) error stop 'tList_asStrings' + if(n%get_asBool(2)) error stop 'byIndex_asBool' + if(n%get_asString(1) /= 'true') error stop 'byIndex_asString' end block -end subroutine unitTest +end subroutine selfTest !--------------------------------------------------------------------------------------------------- @@ -300,7 +311,7 @@ function tNode_asScalar(self) result(scalar) class is(tScalar) scalar => self class default - call IO_error(0) + call IO_error(706,ext_msg='Expected "scalar"') end select end function tNode_asScalar @@ -318,7 +329,7 @@ function tNode_asList(self) result(list) class is(tList) list => self class default - call IO_error(0) + call IO_error(706,ext_msg='Expected "list"') end select end function tNode_asList @@ -336,12 +347,63 @@ function tNode_asDict(self) result(dict) class is(tDict) dict => self class default - call IO_error(0) + call IO_error(706,ext_msg='Expected "dict"') end select end function tNode_asDict +!-------------------------------------------------------------------------------------------------- +!> @brief Checks if node is a scalar +!-------------------------------------------------------------------------------------------------- +function tNode_isScalar(self) result(scalar) + + class(tNode), intent(in), target :: self + logical :: scalar + + scalar = .false. + select type(self) + class is(tScalar) + scalar = .true. + end select + +end function tNode_isScalar + + +!-------------------------------------------------------------------------------------------------- +!> @brief Checks if node is a list +!-------------------------------------------------------------------------------------------------- +function tNode_isList(self) result(list) + + class(tNode), intent(in), target :: self + logical :: list + + list = .false. + select type(self) + class is(tList) + list = .true. + end select + +end function tNode_isList + + +!-------------------------------------------------------------------------------------------------- +!> @brief Checks if node is a dict +!-------------------------------------------------------------------------------------------------- +function tNode_isDict(self) result(dict) + + class(tNode), intent(in), target :: self + logical :: dict + + dict = .false. + select type(self) + class is(tDict) + dict = .true. + end select + +end function tNode_isDict + + !-------------------------------------------------------------------------------------------------- !> @brief Access by index !-------------------------------------------------------------------------------------------------- @@ -356,7 +418,7 @@ function tNode_get_byIndex(self,i) result(node) integer :: j self_ => self%asList() - if(i < 1 .or. i > self_%length) call IO_error(0) + if(i < 1 .or. i > self_%length) call IO_error(150,ext_msg='tNode_get_byIndex') j = 1 item => self_%first @@ -522,29 +584,105 @@ end function tNode_get_byIndex_asStrings !-------------------------------------------------------------------------------------------------- -!> @brief Access by index +!> @brief Returns the key in a dictionary as a string !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey(self,k) result(node) +function tNode_getKey_byIndex(self,i) result(key) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k - class(tNode), pointer :: node + class(tNode), intent(in), target :: self + integer, intent(in) :: i + + character(len=:), allocatable :: key + integer :: j + type(tDict), pointer :: dict + type(tItem), pointer :: item + + dict => self%asDict() + item => dict%first + do j = 1, dict%length + if(j == i) then + key = item%key + exit + else + item => item%next + endif + enddo + +end function tNode_getKey_byIndex + + +!------------------------------------------------------------------------------------------------- +!> @brief Checks if a given key/item is present in the dict/list +!------------------------------------------------------------------------------------------------- +function tNode_contains(self,k) result(exists) + + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + + logical :: exists + integer :: j + type(tList), pointer :: list + type(tDict), pointer :: dict + + exists = .false. + if(self%isDict()) then + dict => self%asDict() + do j=1, dict%length + if(dict%getKey(j) == k) then + exists = .true. + return + endif + enddo + elseif(self%isList()) then + list => self%asList() + do j =1, list%length + if(list%get_asString(j) == k) then + exists = .true. + return + endif + enddo + else + call IO_error(706,ext_msg='Expected "list" or "dict"') + endif + +end function tNode_contains + + +!-------------------------------------------------------------------------------------------------- +!> @brief Access by key +!-------------------------------------------------------------------------------------------------- +function tNode_get_byKey(self,k,defaultVal) result(node) + + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + class(tNode), intent(in),optional,target :: defaultVal + class(tNode), pointer :: node type(tDict), pointer :: self_ type(tItem), pointer :: item integer :: j + logical :: found + found = present(defaultVal) + if(found) node => defaultVal + self_ => self%asDict() j = 1 item => self_%first do while(j <= self_%length) - if (item%key == k) exit + if (item%key == k) then + found = .true. + exit + endif item => item%next j = j + 1 enddo - if (.not. item%key == k) call IO_error(0) - node => item%node + + if (.not. found) then + call IO_error(143,ext_msg=k) + else + if(associated(item)) node => item%node + endif end function tNode_get_byKey @@ -552,18 +690,25 @@ end function tNode_get_byKey !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to float !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asFloat(self,k) result(nodeAsFloat) +function tNode_get_byKey_asFloat(self,k,defaultVal) result(nodeAsFloat) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + real(pReal), intent(in),optional :: defaultVal real(pReal) :: nodeAsFloat class(tNode), pointer :: node type(tScalar), pointer :: scalar - node => self%get(k) - scalar => node%asScalar() - nodeAsFloat = scalar%asFloat() + if(self%contains(k)) then + node => self%get(k) + scalar => node%asScalar() + nodeAsFloat = scalar%asFloat() + elseif(present(defaultVal)) then + nodeAsFloat = defaultVal + else + call IO_error(143,ext_msg=k) + endif end function tNode_get_byKey_asFloat @@ -571,18 +716,25 @@ end function tNode_get_byKey_asFloat !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to int !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asInt(self,k) result(nodeAsInt) +function tNode_get_byKey_asInt(self,k,defaultVal) result(nodeAsInt) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + integer, intent(in),optional :: defaultVal integer :: nodeAsInt class(tNode), pointer :: node type(tScalar), pointer :: scalar - node => self%get(k) - scalar => node%asScalar() - nodeAsInt = scalar%asInt() + if(self%contains(k)) then + node => self%get(k) + scalar => node%asScalar() + nodeAsInt = scalar%asInt() + elseif(present(defaultVal)) then + nodeAsInt = defaultVal + else + call IO_error(143,ext_msg=k) + endif end function tNode_get_byKey_asInt @@ -590,18 +742,25 @@ end function tNode_get_byKey_asInt !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to bool !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asBool(self,k) result(nodeAsBool) +function tNode_get_byKey_asBool(self,k,defaultVal) result(nodeAsBool) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + logical, intent(in),optional :: defaultVal logical :: nodeAsBool class(tNode), pointer :: node type(tScalar), pointer :: scalar - node => self%get(k) - scalar => node%asScalar() - nodeAsBool = scalar%asBool() + if(self%contains(k)) then + node => self%get(k) + scalar => node%asScalar() + nodeAsBool = scalar%asBool() + elseif(present(defaultVal)) then + nodeAsBool = defaultVal + else + call IO_error(143,ext_msg=k) + endif end function tNode_get_byKey_asBool @@ -609,18 +768,25 @@ end function tNode_get_byKey_asBool !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to string !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asString(self,k) result(nodeAsString) +function tNode_get_byKey_asString(self,k,defaultVal) result(nodeAsString) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + character(len=*), intent(in),optional :: defaultVal character(len=:), allocatable :: nodeAsString class(tNode), pointer :: node type(tScalar), pointer :: scalar - node => self%get(k) - scalar => node%asScalar() - nodeAsString = scalar%asString() + if(self%contains(k)) then + node => self%get(k) + scalar => node%asScalar() + nodeAsString = scalar%asString() + elseif(present(defaultVal)) then + nodeAsString = defaultVal + else + call IO_error(143,ext_msg=k) + endif end function tNode_get_byKey_asString @@ -628,18 +794,31 @@ end function tNode_get_byKey_asString !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to float array !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asFloats(self,k) result(nodeAsFloats) +function tNode_get_byKey_asFloats(self,k,defaultVal,requiredSize) result(nodeAsFloats) + + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + real(pReal), intent(in), dimension(:), optional :: defaultVal + integer, intent(in), optional :: requiredSize - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k real(pReal), dimension(:), allocatable :: nodeAsFloats class(tNode), pointer :: node type(tList), pointer :: list - node => self%get(k) - list => node%asList() - nodeAsFloats = list%asFloats() + if(self%contains(k)) then + node => self%get(k) + list => node%asList() + nodeAsFloats = list%asFloats() + elseif(present(defaultVal)) then + nodeAsFloats = defaultVal + else + call IO_error(143,ext_msg=k) + endif + + if(present(requiredSize)) then + if(requiredSize /= size(nodeAsFloats)) call IO_error(146,ext_msg=k) + endif end function tNode_get_byKey_asFloats @@ -647,18 +826,30 @@ end function tNode_get_byKey_asFloats !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to int array !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asInts(self,k) result(nodeAsInts) +function tNode_get_byKey_asInts(self,k,defaultVal,requiredSize) result(nodeAsInts) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + integer, dimension(:), intent(in), optional :: defaultVal + integer, intent(in), optional :: requiredSize integer, dimension(:), allocatable :: nodeAsInts class(tNode), pointer :: node type(tList), pointer :: list - node => self%get(k) - list => node%asList() - nodeAsInts = list%asInts() + if(self%contains(k)) then + node => self%get(k) + list => node%asList() + nodeAsInts = list%asInts() + elseif(present(defaultVal)) then + nodeAsInts = defaultVal + else + call IO_error(143,ext_msg=k) + endif + + if(present(requiredSize)) then + if(requiredSize /= size(nodeAsInts)) call IO_error(146,ext_msg=k) + endif end function tNode_get_byKey_asInts @@ -666,18 +857,25 @@ end function tNode_get_byKey_asInts !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to bool array !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asBools(self,k) result(nodeAsBools) +function tNode_get_byKey_asBools(self,k,defaultVal) result(nodeAsBools) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k - logical, dimension(:), allocatable :: nodeAsBools + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + logical, dimension(:), intent(in), optional :: defaultVal + logical, dimension(:), allocatable :: nodeAsBools class(tNode), pointer :: node type(tList), pointer :: list - node => self%get(k) - list => node%asList() - nodeAsBools = list%asBools() + if(self%contains(k)) then + node => self%get(k) + list => node%asList() + nodeAsBools = list%asBools() + elseif(present(defaultVal)) then + nodeAsBools = defaultVal + else + call IO_error(143,ext_msg=k) + endif end function tNode_get_byKey_asBools @@ -685,22 +883,50 @@ end function tNode_get_byKey_asBools !-------------------------------------------------------------------------------------------------- !> @brief Access by key and convert to string array !-------------------------------------------------------------------------------------------------- -function tNode_get_byKey_asStrings(self,k) result(nodeAsStrings) +function tNode_get_byKey_asStrings(self,k,defaultVal) result(nodeAsStrings) - class(tNode), intent(in), target :: self - character(len=*), intent(in) :: k - character(len=:), allocatable, dimension(:) :: nodeAsStrings + class(tNode), intent(in), target :: self + character(len=*), intent(in) :: k + character(len=*), intent(in), dimension(:), optional :: defaultVal + character(len=:), allocatable, dimension(:) :: nodeAsStrings class(tNode), pointer :: node type(tList), pointer :: list - node => self%get(k) - list => node%asList() - nodeAsStrings = list%asStrings() + if(self%contains(k)) then + node => self%get(k) + list => node%asList() + nodeAsStrings = list%asStrings() + elseif(present(defaultVal)) then + nodeAsStrings = defaultVal + else + call IO_error(143,ext_msg=k) + endif end function tNode_get_byKey_asStrings +!-------------------------------------------------------------------------------------------------- +!> @brief Returns string output array (hack for GNU) +!-------------------------------------------------------------------------------------------------- +function output_asStrings(self) result(output) !ToDo: SR: Remove whenever GNU works + + class(tNode), pointer,intent(in) :: self + character(len=pStringLen), allocatable, dimension(:) :: output + + class(tNode), pointer :: output_list + integer :: o + + output_list => self%get('output',defaultVal=emptyList) + allocate(output(output_list%length)) + do o = 1, output_list%length + output(o) = output_list%get_asString(o) + enddo + + +end function output_asStrings + + !-------------------------------------------------------------------------------------------------- !> @brief Returns the index of a key in a dictionary !-------------------------------------------------------------------------------------------------- @@ -726,6 +952,9 @@ function tNode_get_byKey_asIndex(self,key) result(keyIndex) endif enddo + if(keyIndex == -1) call IO_error(140,ext_msg=key) + + end function tNode_get_byKey_asIndex @@ -940,17 +1169,21 @@ function tList_asStrings(self) type(tScalar), pointer :: scalar len_max = 0 - allocate(character(len=pStringLen) :: tList_asStrings(self%length)) + item => self%first + do i = 1, self%length + scalar => item%node%asScalar() + len_max = max(len_max, len_trim(scalar%asString())) + item => item%next + enddo + + allocate(character(len=len_max) :: tList_asStrings(self%length)) item => self%first do i = 1, self%length scalar => item%node%asScalar() tList_asStrings(i) = scalar%asString() - len_max = max(len_max, len_trim(tList_asStrings(i))) item => item%next enddo - !ToDo: trim to len_max - end function tList_asStrings diff --git a/src/base64.f90 b/src/base64.f90 new file mode 100644 index 000000000..2f91334b7 --- /dev/null +++ b/src/base64.f90 @@ -0,0 +1,226 @@ +!-------------------------------------------------------------------------------------------------- +!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH +!> @brief Decode Base64 strings. +!> @details See https://en.wikipedia.org/wiki/Base64. +!-------------------------------------------------------------------------------------------------- +module base64 + use prec + use IO + + implicit none + private + + character(len=*), parameter :: & + base64_encoding='ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/' + + public :: & + base64_init, & + base64_to_bytes, & + base64_nChar, & + base64_nByte + +contains + + +!-------------------------------------------------------------------------------------------------- +!> @brief Do self test. +!-------------------------------------------------------------------------------------------------- +subroutine base64_init + + print'(/,a)', ' <<<+- base64 init -+>>>'; flush(IO_STDOUT) + + call selfTest + +end subroutine base64_init + + +!-------------------------------------------------------------------------------------------------- +!> @brief Calculate number of Base64 characters required for storage of N bytes. +!-------------------------------------------------------------------------------------------------- +pure function base64_nChar(nByte) + + integer(pI64), intent(in) :: nByte + integer(pI64) :: base64_nChar + + base64_nChar = 4_pI64 * (nByte/3_pI64 + merge(1_pI64,0_pI64,mod(nByte,3_pI64) /= 0_pI64)) + +end function base64_nChar + + +!-------------------------------------------------------------------------------------------------- +!> @brief Calculate number of bytes required for storage of N Base64 characters. +!-------------------------------------------------------------------------------------------------- +pure function base64_nByte(nBase64) + + integer(pI64), intent(in) :: nBase64 + integer(pI64) :: base64_nByte + + base64_nByte = 3_pI64 * (nBase64/4_pI64) + +end function base64_nByte + + +!-------------------------------------------------------------------------------------------------- +!> @brief Decode Base64 ASCII string into byte-wise binary representation. +!-------------------------------------------------------------------------------------------------- +function base64_to_bytes(base64_str,s,e) result(bytes) + + character(len=*), intent(in) :: base64_str !< Base64 string representation + integer(pI64), intent(in), optional :: & + s, & !< start (in bytes) + e !< end (in bytes) + + integer(pI64) :: s_bytes, e_bytes, s_str, e_str + integer(C_SIGNED_CHAR), dimension(:), allocatable :: bytes + + if(.not. validBase64(base64_str)) call IO_error(114,ext_msg='invalid character') + + if(present(s)) then + if(s<1_pI64) call IO_error(114, ext_msg='s out of range') + s_str = ((s-1_pI64)/3_pI64)*4_pI64 + 1_pI64 + s_bytes = mod(s-1_pI64,3_pI64) + 1_pI64 + else + s_str = 1_pI64 + s_bytes = 1_pI64 + endif + + if(present(e)) then + if(e>base64_nByte(len(base64_str,kind=pI64))) call IO_error(114, ext_msg='e out of range') + e_str = ((e-1_pI64)/3_pI64)*4_pI64 + 4_pI64 + e_bytes = e - base64_nByte(s_str) + else + e_str = len(base64_str,kind=pI64) + e_bytes = base64_nByte(len(base64_str,kind=pI64)) - base64_nByte(s_str) + if(base64_str(e_str-0_pI64:e_str-0_pI64) == '=') e_bytes = e_bytes - 1_pI64 + if(base64_str(e_str-1_pI64:e_str-1_pI64) == '=') e_bytes = e_bytes - 1_pI64 + endif + + bytes = decodeBase64(base64_str(s_str:e_str)) + bytes = bytes(s_bytes:e_bytes) + +end function base64_to_bytes + + +!-------------------------------------------------------------------------------------------------- +!> @brief Convert a Base64 ASCII string into its byte-wise binary representation. +!-------------------------------------------------------------------------------------------------- +pure function decodeBase64(base64_str) result(bytes) + + character(len=*), intent(in) :: base64_str !< Base64 string representation + + integer(C_SIGNED_CHAR), dimension(base64_nByte(len(base64_str,pI64))) :: bytes + + integer(C_SIGNED_CHAR), dimension(0:3) :: charPos + integer(pI64) :: c, b, p + + c = 1_pI64 + b = 1_pI64 + + do while(c < len(base64_str,kind=pI64)) + do p=0_pI64,3_pI64 + if(c+p<=len(base64_str,kind=pI64)) then + charPos(p) = int(index(base64_encoding,base64_str(c+p:c+p))-1,C_SIGNED_CHAR) + else + charPos(p) = 0_C_SIGNED_CHAR + endif + enddo + + call mvbits(charPos(0),0,6,bytes(b+0),2) + call mvbits(charPos(1),4,2,bytes(b+0),0) + call mvbits(charPos(1),0,4,bytes(b+1),4) + call mvbits(charPos(2),2,4,bytes(b+1),0) + call mvbits(charPos(2),0,2,bytes(b+2),6) + call mvbits(charPos(3),0,6,bytes(b+2),0) + b = b+3_pI64 + c = c+4_pI64 + enddo + +end function decodeBase64 + + +!-------------------------------------------------------------------------------------------------- +!> @brief Test for valid Base64 encoded string. +!> @details Input string must be properly padded. +!-------------------------------------------------------------------------------------------------- +pure logical function validBase64(base64_str) + + character(len=*), intent(in) :: base64_str !< Base64 string representation + + integer(pI64) :: l + + l = len(base64_str,pI64) + validBase64 = .true. + + if(mod(l,4_pI64)/=0_pI64 .or. l < 4_pInt) validBase64 = .false. + if(verify(base64_str(:l-2_pI64),base64_encoding, kind=pI64) /= 0_pI64) validBase64 = .false. + if(verify(base64_str(l-1_pI64:),base64_encoding//'=',kind=pI64) /= 0_pI64) validBase64 = .false. + +end function validBase64 + + +!-------------------------------------------------------------------------------------------------- +!> @brief Check correctness of base64 functions. +!-------------------------------------------------------------------------------------------------- +subroutine selfTest + + integer(C_SIGNED_CHAR), dimension(:), allocatable :: bytes + character(len=*), parameter :: zero_to_three = 'AAECAw==' + + ! https://en.wikipedia.org/wiki/Base64#Output_padding + if(base64_nChar(20_pI64) /= 28_pI64) error stop 'base64_nChar/20/28' + if(base64_nChar(19_pI64) /= 28_pI64) error stop 'base64_nChar/19/28' + if(base64_nChar(18_pI64) /= 24_pI64) error stop 'base64_nChar/18/24' + if(base64_nChar(17_pI64) /= 24_pI64) error stop 'base64_nChar/17/24' + if(base64_nChar(16_pI64) /= 24_pI64) error stop 'base64_nChar/16/24' + + if(base64_nByte(4_pI64) /= 3_pI64) error stop 'base64_nByte/4/3' + if(base64_nByte(8_pI64) /= 6_pI64) error stop 'base64_nByte/8/6' + + bytes = base64_to_bytes(zero_to_three) + if(any(bytes /= int([0,1,2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 4) error stop 'base64_to_bytes//' + + bytes = base64_to_bytes(zero_to_three,e=1_pI64) + if(any(bytes /= int([0],C_SIGNED_CHAR)) .or. size(bytes) /= 1) error stop 'base64_to_bytes//1' + bytes = base64_to_bytes(zero_to_three,e=2_pI64) + if(any(bytes /= int([0,1],C_SIGNED_CHAR)) .or. size(bytes) /= 2) error stop 'base64_to_bytes//2' + bytes = base64_to_bytes(zero_to_three,e=3_pI64) + if(any(bytes /= int([0,1,2],C_SIGNED_CHAR)) .or. size(bytes) /= 3) error stop 'base64_to_bytes//3' + bytes = base64_to_bytes(zero_to_three,e=4_pI64) + if(any(bytes /= int([0,1,2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 4) error stop 'base64_to_bytes//4' + + bytes = base64_to_bytes(zero_to_three,s=1_pI64) + if(any(bytes /= int([0,1,2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 4) error stop 'base64_to_bytes/1/' + bytes = base64_to_bytes(zero_to_three,s=2_pI64) + if(any(bytes /= int([1,2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 3) error stop 'base64_to_bytes/2/' + bytes = base64_to_bytes(zero_to_three,s=3_pI64) + if(any(bytes /= int([2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 2) error stop 'base64_to_bytes/3/' + bytes = base64_to_bytes(zero_to_three,s=4_pI64) + if(any(bytes /= int([3],C_SIGNED_CHAR)) .or. size(bytes) /= 1) error stop 'base64_to_bytes/4/' + + bytes = base64_to_bytes(zero_to_three,s=1_pI64,e=1_pI64) + if(any(bytes /= int([0],C_SIGNED_CHAR)) .or. size(bytes) /= 1) error stop 'base64_to_bytes/1/1' + bytes = base64_to_bytes(zero_to_three,s=2_pI64,e=2_pI64) + if(any(bytes /= int([1],C_SIGNED_CHAR)) .or. size(bytes) /= 1) error stop 'base64_to_bytes/2/2' + bytes = base64_to_bytes(zero_to_three,s=3_pI64,e=3_pI64) + if(any(bytes /= int([2],C_SIGNED_CHAR)) .or. size(bytes) /= 1) error stop 'base64_to_bytes/3/3' + bytes = base64_to_bytes(zero_to_three,s=4_pI64,e=4_pI64) + if(any(bytes /= int([3],C_SIGNED_CHAR)) .or. size(bytes) /= 1) error stop 'base64_to_bytes/4/4' + + bytes = base64_to_bytes(zero_to_three,s=1_pI64,e=2_pI64) + if(any(bytes /= int([0,1],C_SIGNED_CHAR)) .or. size(bytes) /= 2) error stop 'base64_to_bytes/1/2' + bytes = base64_to_bytes(zero_to_three,s=2_pI64,e=3_pI64) + if(any(bytes /= int([1,2],C_SIGNED_CHAR)) .or. size(bytes) /= 2) error stop 'base64_to_bytes/2/3' + bytes = base64_to_bytes(zero_to_three,s=3_pI64,e=4_pI64) + if(any(bytes /= int([2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 2) error stop 'base64_to_bytes/3/4' + + bytes = base64_to_bytes(zero_to_three,s=1_pI64,e=3_pI64) + if(any(bytes /= int([0,1,2],C_SIGNED_CHAR)) .or. size(bytes) /= 3) error stop 'base64_to_bytes/1/3' + bytes = base64_to_bytes(zero_to_three,s=2_pI64,e=4_pI64) + if(any(bytes /= int([1,2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 3) error stop 'base64_to_bytes/2/4' + + bytes = base64_to_bytes(zero_to_three,s=1_pI64,e=4_pI64) + if(any(bytes /= int([0,1,2,3],C_SIGNED_CHAR)) .or. size(bytes) /= 4) error stop 'base64_to_bytes/1/4' + +end subroutine selfTest + +end module base64 diff --git a/src/commercialFEM_fileList.f90 b/src/commercialFEM_fileList.f90 index f8a5ad96a..f4eb5d78c 100644 --- a/src/commercialFEM_fileList.f90 +++ b/src/commercialFEM_fileList.f90 @@ -3,11 +3,10 @@ !> @brief all DAMASK files without solver !> @details List of files needed by MSC.Marc !-------------------------------------------------------------------------------------------------- +#include "parallelization.f90" #include "IO.f90" -#include "numerics.f90" -#include "debug.f90" -#include "list.f90" #include "YAML_types.f90" +#include "YAML_parse.f90" #include "future.f90" #include "config.f90" #include "LAPACK_interface.f90" @@ -25,23 +24,26 @@ #endif #include "material.f90" #include "lattice.f90" +#include "constitutive.f90" +#include "constitutive_plastic.f90" +#include "constitutive_plastic_none.f90" +#include "constitutive_plastic_isotropic.f90" +#include "constitutive_plastic_phenopowerlaw.f90" +#include "constitutive_plastic_kinehardening.f90" +#include "constitutive_plastic_dislotwin.f90" +#include "constitutive_plastic_disloTungsten.f90" +#include "constitutive_plastic_nonlocal.f90" +#include "constitutive_thermal.f90" #include "source_thermal_dissipation.f90" #include "source_thermal_externalheat.f90" +#include "kinematics_thermal_expansion.f90" +#include "constitutive_damage.f90" #include "source_damage_isoBrittle.f90" #include "source_damage_isoDuctile.f90" #include "source_damage_anisoBrittle.f90" #include "source_damage_anisoDuctile.f90" #include "kinematics_cleavage_opening.f90" #include "kinematics_slipplane_opening.f90" -#include "kinematics_thermal_expansion.f90" -#include "constitutive.f90" -#include "constitutive_plastic_none.f90" -#include "constitutive_plastic_isotropic.f90" -#include "constitutive_plastic_phenopowerlaw.f90" -#include "constitutive_plastic_kinehardening.f90" -#include "constitutive_plastic_dislotwin.f90" -#include "constitutive_plastic_disloUCLA.f90" -#include "constitutive_plastic_nonlocal.f90" #include "crystallite.f90" #include "thermal_isothermal.f90" #include "thermal_adiabatic.f90" diff --git a/src/config.f90 b/src/config.f90 index 187c4880f..b10edf013 100644 --- a/src/config.f90 +++ b/src/config.f90 @@ -1,38 +1,28 @@ !-------------------------------------------------------------------------------------------------- !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH -!> @brief Reads in the material configuration from file -!> @details Reads the material configuration file, where solverJobName.materialConfig takes -!! precedence over material.config. Stores the raw strings and the positions of delimiters for the -!! parts 'homogenization', 'crystallite', 'phase', 'texture', and 'microstucture' -!! Reads numerics.config and debug.config +!> @brief Reads in the material, numerics & debug configuration from their respective file +!> @details Reads the material configuration file, where solverJobName.yaml takes +!! precedence over material.yaml. !-------------------------------------------------------------------------------------------------- module config use prec use DAMASK_interface use IO - use debug - use list + use YAML_parse + use YAML_types + +#ifdef PETSc +#include + use petscsys +#endif implicit none private - type(tPartitionedStringList), public, protected, allocatable, dimension(:) :: & - config_phase, & - config_microstructure, & - config_homogenization, & - config_texture, & - config_crystallite - - type(tPartitionedStringList), public, protected :: & + class(tNode), pointer, public :: & + config_material, & config_numerics, & config_debug - - character(len=pStringLen), public, protected, allocatable, dimension(:) :: & - config_name_phase, & !< name of each phase - config_name_homogenization, & !< name of each homogenization - config_name_crystallite, & !< name of each crystallite setting - config_name_microstructure, & !< name of each microstructure - config_name_texture !< name of each texture public :: & config_init, & @@ -41,275 +31,81 @@ module config contains !-------------------------------------------------------------------------------------------------- -!> @brief reads material.config and stores its content per part +!> @brief Real *.yaml configuration files. !-------------------------------------------------------------------------------------------------- subroutine config_init - integer :: i - logical :: verbose + print'(/,a)', ' <<<+- config init -+>>>'; flush(IO_STDOUT) - character(len=pStringLen) :: & - line, & - part - character(len=pStringLen), dimension(:), allocatable :: fileContent - logical :: fileExists - - write(6,'(/,a)') ' <<<+- config init -+>>>'; flush(6) - - verbose = iand(debug_level(debug_material),debug_levelBasic) /= 0 - - inquire(file=trim(getSolverJobName())//'.materialConfig',exist=fileExists) - if(fileExists) then - write(6,'(/,a)') ' reading '//trim(getSolverJobName())//'.materialConfig'; flush(6) - fileContent = read_materialConfig(trim(getSolverJobName())//'.materialConfig') - else - inquire(file='material.config',exist=fileExists) - if(.not. fileExists) call IO_error(100,ext_msg='material.config') - write(6,'(/,a)') ' reading material.config'; flush(6) - fileContent = read_materialConfig('material.config') - endif - - do i = 1, size(fileContent) - line = trim(fileContent(i)) - part = IO_lc(IO_getTag(line,'<','>')) - select case (trim(part)) - - case (trim('phase')) - call parse_materialConfig(config_name_phase,config_phase,line,fileContent(i+1:)) - if (verbose) write(6,'(a)') ' Phase parsed'; flush(6) - - case (trim('microstructure')) - call parse_materialConfig(config_name_microstructure,config_microstructure,line,fileContent(i+1:)) - if (verbose) write(6,'(a)') ' Microstructure parsed'; flush(6) - - case (trim('crystallite')) - call parse_materialConfig(config_name_crystallite,config_crystallite,line,fileContent(i+1:)) - if (verbose) write(6,'(a)') ' Crystallite parsed'; flush(6) - deallocate(config_crystallite) - - case (trim('homogenization')) - call parse_materialConfig(config_name_homogenization,config_homogenization,line,fileContent(i+1:)) - if (verbose) write(6,'(a)') ' Homogenization parsed'; flush(6) - - case (trim('texture')) - call parse_materialConfig(config_name_texture,config_texture,line,fileContent(i+1:)) - if (verbose) write(6,'(a)') ' Texture parsed'; flush(6) - - end select - - enddo - - if (.not. allocated(config_homogenization) .or. size(config_homogenization) < 1) & - call IO_error(160,ext_msg='') - if (.not. allocated(config_microstructure) .or. size(config_microstructure) < 1) & - call IO_error(160,ext_msg='') - if (.not. allocated(config_phase) .or. size(config_phase) < 1) & - call IO_error(160,ext_msg='') - if (.not. allocated(config_texture) .or. size(config_texture) < 1) & - call IO_error(160,ext_msg='') - - - inquire(file='numerics.config', exist=fileExists) - if (fileExists) then - write(6,'(/,a)') ' reading numerics.config'; flush(6) - fileContent = IO_read_ASCII('numerics.config') - call parse_debugAndNumericsConfig(config_numerics,fileContent) - endif - - inquire(file='debug.config', exist=fileExists) - if (fileExists) then - write(6,'(/,a)') ' reading debug.config'; flush(6) - fileContent = IO_read_ASCII('debug.config') - call parse_debugAndNumericsConfig(config_debug,fileContent) - endif - -contains - - -!-------------------------------------------------------------------------------------------------- -!> @brief reads material.config -!! Recursion is triggered by "{path/to/inputfile}" in a line -!-------------------------------------------------------------------------------------------------- -recursive function read_materialConfig(fileName,cnt) result(fileContent) - - character(len=*), intent(in) :: fileName !< name of the material configuration file - integer, intent(in), optional :: cnt !< recursion counter - character(len=pStringLen), dimension(:), allocatable :: fileContent !< file content, separated per lines - character(len=pStringLen), dimension(:), allocatable :: includedContent - character(len=pStringLen) :: line - character(len=pStringLen), parameter :: dummy = 'https://damask.mpie.de' !< to fill up remaining array - character(len=:), allocatable :: rawData - integer :: & - fileLength, & - fileUnit, & - startPos, endPos, & - myTotalLines, & !< # lines read from file without include statements - l,i, & - myStat - logical :: warned - - if (present(cnt)) then - if (cnt>10) call IO_error(106,ext_msg=trim(fileName)) - endif - -!-------------------------------------------------------------------------------------------------- -! read data as stream - inquire(file = fileName, size=fileLength) - if (fileLength == 0) then - allocate(fileContent(0)) - return - endif - open(newunit=fileUnit, file=fileName, access='stream',& - status='old', position='rewind', action='read',iostat=myStat) - if(myStat /= 0) call IO_error(100,ext_msg=trim(fileName)) - allocate(character(len=fileLength)::rawData) - read(fileUnit) rawData - close(fileUnit) - -!-------------------------------------------------------------------------------------------------- -! count lines to allocate string array - myTotalLines = 1 - do l=1, len(rawData) - if (rawData(l:l) == IO_EOL) myTotalLines = myTotalLines+1 - enddo - allocate(fileContent(myTotalLines)) - -!-------------------------------------------------------------------------------------------------- -! split raw data at end of line and handle includes - warned = .false. - startPos = 1 - l = 1 - do while (l <= myTotalLines) - endPos = merge(startPos + scan(rawData(startPos:),IO_EOL) - 2,len(rawData),l /= myTotalLines) - if (endPos - startPos > pStringLen -1) then - line = rawData(startPos:startPos+pStringLen-1) - if (.not. warned) then - call IO_warning(207,ext_msg=trim(fileName),el=l) - warned = .true. - endif - else - line = rawData(startPos:endpos) - endif - startPos = endPos + 2 ! jump to next line start - - recursion: if (scan(trim(adjustl(line)),'{') == 1 .and. scan(trim(line),'}') > 2) then - includedContent = read_materialConfig(trim(line(scan(line,'{')+1:scan(line,'}')-1)), & - merge(cnt,1,present(cnt))) ! to track recursion depth - fileContent = [ fileContent(1:l-1), includedContent, [(dummy,i=1,myTotalLines-l)] ] ! add content and grow array - myTotalLines = myTotalLines - 1 + size(includedContent) - l = l - 1 + size(includedContent) - else recursion - fileContent(l) = line - l = l + 1 - endif recursion - - enddo - -end function read_materialConfig - - -!-------------------------------------------------------------------------------------------------- -!> @brief parses the material.config file -!-------------------------------------------------------------------------------------------------- -subroutine parse_materialConfig(sectionNames,part,line, & - fileContent) - - character(len=pStringLen), allocatable, dimension(:), intent(out) :: sectionNames - type(tPartitionedStringList), allocatable, dimension(:), intent(inout) :: part - character(len=pStringLen), intent(inout) :: line - character(len=pStringLen), dimension(:), intent(in) :: fileContent - - integer, allocatable, dimension(:) :: partPosition !< position of [] tags + last line in section - integer :: i, j - logical :: echo - character(len=pStringLen) :: sectionName - - echo = .false. - - if (allocated(part)) call IO_error(161,ext_msg=trim(line)) - allocate(partPosition(0)) - - do i = 1, size(fileContent) - line = trim(fileContent(i)) - if (IO_getTag(line,'<','>') /= '') exit - nextSection: if (IO_getTag(line,'[',']') /= '') then - partPosition = [partPosition, i] - cycle - endif nextSection - if (size(partPosition) < 1) & - echo = (trim(IO_getTag(line,'/','/')) == 'echo') .or. echo - enddo - - allocate(sectionNames(size(partPosition))) - allocate(part(size(partPosition))) - - partPosition = [partPosition, i] ! needed when actually storing content - - do i = 1, size(partPosition) -1 - write(sectionName,'(i0,a,a)') i,'_',trim(IO_getTag(fileContent(partPosition(i)),'[',']')) - sectionNames(i) = sectionName - do j = partPosition(i) + 1, partPosition(i+1) -1 - call part(i)%add(trim(adjustl(fileContent(j)))) - enddo - if (echo) then - write(6,*) 'section',i, '"'//trim(sectionNames(i))//'"' - call part(i)%show() - endif - enddo - -end subroutine parse_materialConfig - - -!-------------------------------------------------------------------------------------------------- -!> @brief parses the material.config file -!-------------------------------------------------------------------------------------------------- -subroutine parse_debugAndNumericsConfig(config_list, & - fileContent) - - type(tPartitionedStringList), intent(out) :: config_list - character(len=pStringLen), dimension(:), intent(in) :: fileContent - integer :: i - - do i = 1, size(fileContent) - call config_list%add(trim(adjustl(fileContent(i)))) - enddo - -end subroutine parse_debugAndNumericsConfig + call parse_material + call parse_numerics + call parse_debug end subroutine config_init !-------------------------------------------------------------------------------------------------- -!> @brief deallocates the linked lists that store the content of the configuration files +!> @brief Read material.yaml or .yaml. !-------------------------------------------------------------------------------------------------- -subroutine config_deallocate(what) +subroutine parse_material - character(len=*), intent(in) :: what + logical :: fileExists + character(len=:), allocatable :: fname - select case(trim(what)) + fname = getSolverJobName()//'.yaml' + inquire(file=fname,exist=fileExists) + if(.not. fileExists) then + fname = 'material.yaml' + inquire(file=fname,exist=fileExists) + if(.not. fileExists) call IO_error(100,ext_msg=fname) + endif + print*, 'reading '//fname; flush(IO_STDOUT) + config_material => YAML_parse_file(fname) - case('material.config/phase') - deallocate(config_phase) +end subroutine parse_material - case('material.config/microstructure') - deallocate(config_microstructure) - case('material.config/homogenization') - deallocate(config_homogenization) +!-------------------------------------------------------------------------------------------------- +!> @brief Read numerics.yaml. +!-------------------------------------------------------------------------------------------------- +subroutine parse_numerics - case('material.config/texture') - deallocate(config_texture) - - case('debug.config') - call config_debug%free - - case('numerics.config') - call config_numerics%free - - case default - call IO_error(0,ext_msg='config_deallocate') + logical :: fexist - end select + config_numerics => emptyDict + inquire(file='numerics.yaml', exist=fexist) + if (fexist) then + print*, 'reading numerics.yaml'; flush(IO_STDOUT) + config_numerics => YAML_parse_file('numerics.yaml') + endif + +end subroutine parse_numerics + + +!-------------------------------------------------------------------------------------------------- +!> @brief Read debug.yaml. +!-------------------------------------------------------------------------------------------------- +subroutine parse_debug + + logical :: fexist + + config_debug => emptyDict + inquire(file='debug.yaml', exist=fexist) + fileExists: if (fexist) then + print*, 'reading debug.yaml'; flush(IO_STDOUT) + config_debug => YAML_parse_file('debug.yaml') + endif fileExists + +end subroutine parse_debug + + +!-------------------------------------------------------------------------------------------------- +!> @brief Deallocate config_material. +!ToDo: deallocation of numerics debug (optional) +!-------------------------------------------------------------------------------------------------- +subroutine config_deallocate + + deallocate(config_material) end subroutine config_deallocate diff --git a/src/constitutive.f90 b/src/constitutive.f90 index e2c9dbc05..358937e4b 100644 --- a/src/constitutive.f90 +++ b/src/constitutive.f90 @@ -1,163 +1,83 @@ !-------------------------------------------------------------------------------------------------- !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH -!> @brief elasticity, plasticity, internal microstructure state +!> @brief elasticity, plasticity, damage & thermal internal microstructure state !-------------------------------------------------------------------------------------------------- module constitutive use prec use math use rotations - use debug - use numerics use IO use config use material use results use lattice use discretization - use geometry_plastic_nonlocal - use source_thermal_dissipation - use source_thermal_externalheat - use source_damage_isoBrittle - use source_damage_isoDuctile - use source_damage_anisoBrittle - use source_damage_anisoDuctile - use kinematics_cleavage_opening - use kinematics_slipplane_opening - use kinematics_thermal_expansion + use geometry_plastic_nonlocal, only: & + geometry_plastic_nonlocal_disable implicit none private + integer(kind(ELASTICITY_undefined_ID)), dimension(:), allocatable, protected :: & + phase_elasticity !< elasticity of each phase + + integer(kind(PLASTICITY_undefined_ID)), dimension(:), allocatable :: & !ToDo: old intel compiler complains about protected + phase_plasticity !< plasticity of each phase + + integer(kind(SOURCE_undefined_ID)), dimension(:,:), allocatable :: & ! ToDo: old intel compiler complains about protected + phase_source, & !< active sources mechanisms of each phase + phase_kinematics, & !< active kinematic mechanisms of each phase + phase_stiffnessDegradation !< active stiffness degradation mechanisms of each phase + + integer, dimension(:), allocatable, public :: & ! ToDo: old intel compiler complains about protected + phase_Nsources, & !< number of source mechanisms active in each phase + phase_Nkinematics, & !< number of kinematic mechanisms active in each phase + phase_NstiffnessDegradations, & !< number of stiffness degradation mechanisms active in each phase + phase_plasticityInstance, & !< instance of particular plasticity of each phase + phase_elasticityInstance !< instance of particular elasticity of each phase + + logical, dimension(:), allocatable, public :: & ! ToDo: old intel compiler complains about protected + phase_localPlasticity !< flags phases with local constitutive law + + type(tPlasticState), allocatable, dimension(:), public :: & + plasticState + type(tSourceState), allocatable, dimension(:), public :: & + sourceState + + integer, public, protected :: & constitutive_plasticity_maxSizeDotState, & constitutive_source_maxSizeDotState interface - module subroutine plastic_none_init - end subroutine plastic_none_init + module subroutine plastic_init + end subroutine plastic_init - module subroutine plastic_isotropic_init - end subroutine plastic_isotropic_init + module subroutine damage_init + end subroutine damage_init - module subroutine plastic_phenopowerlaw_init - end subroutine plastic_phenopowerlaw_init - - module subroutine plastic_kinehardening_init - end subroutine plastic_kinehardening_init - - module subroutine plastic_dislotwin_init - end subroutine plastic_dislotwin_init - - module subroutine plastic_disloUCLA_init - end subroutine plastic_disloUCLA_init - - module subroutine plastic_nonlocal_init - end subroutine plastic_nonlocal_init + module subroutine thermal_init + end subroutine thermal_init - module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) - real(pReal), dimension(3,3), intent(out) :: & - Lp !< plastic velocity gradient - real(pReal), dimension(3,3,3,3), intent(out) :: & - dLp_dMp !< derivative of Lp with respect to the Mandel stress + module function plastic_active(plastic_label) result(active_plastic) + character(len=*), intent(in) :: plastic_label + logical, dimension(:), allocatable :: active_plastic + end function plastic_active - real(pReal), dimension(3,3), intent(in) :: & - Mp !< Mandel stress - integer, intent(in) :: & - instance, & - of - end subroutine plastic_isotropic_LpAndItsTangent - - pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) - real(pReal), dimension(3,3), intent(out) :: & - Lp !< plastic velocity gradient - real(pReal), dimension(3,3,3,3), intent(out) :: & - dLp_dMp !< derivative of Lp with respect to the Mandel stress - - real(pReal), dimension(3,3), intent(in) :: & - Mp !< Mandel stress - integer, intent(in) :: & - instance, & - of - end subroutine plastic_phenopowerlaw_LpAndItsTangent - - pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) - real(pReal), dimension(3,3), intent(out) :: & - Lp !< plastic velocity gradient - real(pReal), dimension(3,3,3,3), intent(out) :: & - dLp_dMp !< derivative of Lp with respect to the Mandel stress - - real(pReal), dimension(3,3), intent(in) :: & - Mp !< Mandel stress - integer, intent(in) :: & - instance, & - of - end subroutine plastic_kinehardening_LpAndItsTangent - - module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) - real(pReal), dimension(3,3), intent(out) :: & - Lp !< plastic velocity gradient - real(pReal), dimension(3,3,3,3), intent(out) :: & - dLp_dMp !< derivative of Lp with respect to the Mandel stress - - real(pReal), dimension(3,3), intent(in) :: & - Mp !< Mandel stress - real(pReal), intent(in) :: & - T - integer, intent(in) :: & - instance, & - of - end subroutine plastic_dislotwin_LpAndItsTangent - - pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) - real(pReal), dimension(3,3), intent(out) :: & - Lp !< plastic velocity gradient - real(pReal), dimension(3,3,3,3), intent(out) :: & - dLp_dMp !< derivative of Lp with respect to the Mandel stress - - real(pReal), dimension(3,3), intent(in) :: & - Mp !< Mandel stress - real(pReal), intent(in) :: & - T - integer, intent(in) :: & - instance, & - of - end subroutine plastic_disloUCLA_LpAndItsTangent - - module subroutine plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp, & - Mp,Temperature,instance,of,ip,el) - real(pReal), dimension(3,3), intent(out) :: & - Lp !< plastic velocity gradient - real(pReal), dimension(3,3,3,3), intent(out) :: & - dLp_dMp !< derivative of Lp with respect to the Mandel stress - - real(pReal), dimension(3,3), intent(in) :: & - Mp !< Mandel stress - real(pReal), intent(in) :: & - Temperature - integer, intent(in) :: & - instance, & - of, & - ip, & !< current integration point - el !< current element number - end subroutine plastic_nonlocal_LpAndItsTangent - - - module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of) - real(pReal), dimension(3,3), intent(out) :: & - Li !< inleastic velocity gradient - real(pReal), dimension(3,3,3,3), intent(out) :: & - dLi_dMi !< derivative of Li with respect to Mandel stress - - real(pReal), dimension(3,3), intent(in) :: & - Mi !< Mandel stress - integer, intent(in) :: & - instance, & - of - end subroutine plastic_isotropic_LiAndItsTangent + module function source_active(source_label,src_length) result(active_source) + character(len=*), intent(in) :: source_label + integer, intent(in) :: src_length + logical, dimension(:,:), allocatable :: active_source + end function source_active + module function kinematics_active(kinematics_label,kinematics_length) result(active_kinematics) + character(len=*), intent(in) :: kinematics_label + integer, intent(in) :: kinematics_length + logical, dimension(:,:), allocatable :: active_kinematics + end function kinematics_active module subroutine plastic_isotropic_dotState(Mp,instance,of) real(pReal), dimension(3,3), intent(in) :: & @@ -193,7 +113,7 @@ module constitutive of end subroutine plastic_dislotwin_dotState - module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of) + module subroutine plastic_disloTungsten_dotState(Mp,T,instance,of) real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress real(pReal), intent(in) :: & @@ -201,13 +121,13 @@ module constitutive integer, intent(in) :: & instance, & of - end subroutine plastic_disloUCLA_dotState + end subroutine plastic_disloTungsten_dotState module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & - instance,of,ip,el) - real(pReal), dimension(3,3), intent(in) ::& + instance,of,ip,el) + real(pReal), dimension(3,3), intent(in) :: & Mp !< MandelStress - real(pReal), dimension(3,3,homogenization_maxNgrains,discretization_nIP,discretization_nElem), intent(in) :: & + real(pReal), dimension(3,3,homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems), intent(in) :: & F, & !< deformation gradient Fp !< plastic deformation gradient real(pReal), intent(in) :: & @@ -221,30 +141,135 @@ module constitutive end subroutine plastic_nonlocal_dotState - module subroutine plastic_dislotwin_dependentState(T,instance,of) - integer, intent(in) :: & - instance, & + module subroutine source_damage_anisoBrittle_dotState(S, ipc, ip, el) + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + real(pReal), intent(in), dimension(3,3) :: & + S + end subroutine source_damage_anisoBrittle_dotState + + module subroutine source_damage_anisoDuctile_dotState(ipc, ip, el) + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + end subroutine source_damage_anisoDuctile_dotState + + module subroutine source_damage_isoDuctile_dotState(ipc, ip, el) + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + end subroutine source_damage_isoDuctile_dotState + + module subroutine source_thermal_externalheat_dotState(phase, of) + integer, intent(in) :: & + phase, & of - real(pReal), intent(in) :: & + end subroutine source_thermal_externalheat_dotState + + module subroutine constitutive_damage_getRateAndItsTangents(phiDot, dPhiDot_dPhi, phi, ip, el) + integer, intent(in) :: & + ip, & !< integration point number + el !< element number + real(pReal), intent(in) :: & + phi !< damage parameter + real(pReal), intent(inout) :: & + phiDot, & + dPhiDot_dPhi + end subroutine constitutive_damage_getRateAndItsTangents + + module subroutine constitutive_thermal_getRateAndItsTangents(TDot, dTDot_dT, T, S, Lp, ip, el) + integer, intent(in) :: & + ip, & !< integration point number + el !< element number + real(pReal), intent(in) :: & T - end subroutine plastic_dislotwin_dependentState + real(pReal), intent(in), dimension(:,:,:,:,:) :: & + S, & !< current 2nd Piola Kitchoff stress vector + Lp !< plastic velocity gradient + real(pReal), intent(inout) :: & + TDot, & + dTDot_dT + end subroutine constitutive_thermal_getRateAndItsTangents - module subroutine plastic_disloUCLA_dependentState(instance,of) - integer, intent(in) :: & - instance, & - of - end subroutine plastic_disloUCLA_dependentState + module function plastic_dislotwin_homogenizedC(ipc,ip,el) result(homogenizedC) + real(pReal), dimension(6,6) :: & + homogenizedC + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + end function plastic_dislotwin_homogenizedC - module subroutine plastic_nonlocal_dependentState(F, Fp, instance, of, ip, el) - real(pReal), dimension(3,3), intent(in) :: & - F, & - Fp + pure module function kinematics_thermal_expansion_initialStrain(homog,phase,offset) result(initialStrain) + integer, intent(in) :: & + phase, & + homog, & + offset + real(pReal), dimension(3,3) :: & + initialStrain + end function kinematics_thermal_expansion_initialStrain + + module subroutine plastic_nonlocal_updateCompatibility(orientation,instance,i,e) integer, intent(in) :: & instance, & - of, & - ip, & - el - end subroutine plastic_nonlocal_dependentState + i, & + e + type(rotation), dimension(1,discretization_nIPs,discretization_Nelems), intent(in) :: & + orientation !< crystal orientation + end subroutine plastic_nonlocal_updateCompatibility + + module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of) + real(pReal), dimension(3,3), intent(out) :: & + Li !< inleastic velocity gradient + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLi_dMi !< derivative of Li with respect to Mandel stress + real(pReal), dimension(3,3), intent(in) :: & + Mi !< Mandel stress + integer, intent(in) :: & + instance, & + of + end subroutine plastic_isotropic_LiAndItsTangent + + module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el) + integer, intent(in) :: & + ipc, & !< grain number + ip, & !< integration point number + el !< element number + real(pReal), intent(in), dimension(3,3) :: & + S + real(pReal), intent(out), dimension(3,3) :: & + Ld !< damage velocity gradient + real(pReal), intent(out), dimension(3,3,3,3) :: & + dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor) + end subroutine kinematics_cleavage_opening_LiAndItsTangent + + module subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el) + integer, intent(in) :: & + ipc, & !< grain number + ip, & !< integration point number + el !< element number + real(pReal), intent(in), dimension(3,3) :: & + S + real(pReal), intent(out), dimension(3,3) :: & + Ld !< damage velocity gradient + real(pReal), intent(out), dimension(3,3,3,3) :: & + dLd_dTstar !< derivative of Ld with respect to Tstar (4th-order tensor) + end subroutine kinematics_slipplane_opening_LiAndItsTangent + + module subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, ipc, ip, el) + integer, intent(in) :: & + ipc, & !< grain number + ip, & !< integration point number + el !< element number + real(pReal), intent(out), dimension(3,3) :: & + Li !< thermal velocity gradient + real(pReal), intent(out), dimension(3,3,3,3) :: & + dLi_dTstar !< derivative of Li with respect to Tstar (4th-order tensor defined to be zero) + end subroutine kinematics_thermal_expansion_LiAndItsTangent module subroutine plastic_kinehardening_deltaState(Mp,instance,of) @@ -265,260 +290,269 @@ module constitutive el end subroutine plastic_nonlocal_deltaState - - module function plastic_dislotwin_homogenizedC(ipc,ip,el) result(homogenizedC) - real(pReal), dimension(6,6) :: & - homogenizedC - integer, intent(in) :: & + module subroutine source_damage_isoBrittle_deltaState(C, Fe, ipc, ip, el) + integer, intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element - end function plastic_dislotwin_homogenizedC + real(pReal), intent(in), dimension(3,3) :: & + Fe + real(pReal), intent(in), dimension(6,6) :: & + C + end subroutine source_damage_isoBrittle_deltaState - module subroutine plastic_nonlocal_updateCompatibility(orientation,instance,i,e) - integer, intent(in) :: & - instance, & - i, & - e - type(rotation), dimension(1,discretization_nIP,discretization_nElem), intent(in) :: & - orientation !< crystal orientation - end subroutine plastic_nonlocal_updateCompatibility + module subroutine plastic_results + end subroutine plastic_results - - module subroutine plastic_isotropic_results(instance,group) - integer, intent(in) :: instance - character(len=*), intent(in) :: group - end subroutine plastic_isotropic_results - - module subroutine plastic_phenopowerlaw_results(instance,group) - integer, intent(in) :: instance - character(len=*), intent(in) :: group - end subroutine plastic_phenopowerlaw_results - - module subroutine plastic_kinehardening_results(instance,group) - integer, intent(in) :: instance - character(len=*), intent(in) :: group - end subroutine plastic_kinehardening_results - - module subroutine plastic_dislotwin_results(instance,group) - integer, intent(in) :: instance - character(len=*), intent(in) :: group - end subroutine plastic_dislotwin_results - - module subroutine plastic_disloUCLA_results(instance,group) - integer, intent(in) :: instance - character(len=*), intent(in) :: group - end subroutine plastic_disloUCLA_results - - module subroutine plastic_nonlocal_results(instance,group) - integer, intent(in) :: instance - character(len=*), intent(in) :: group - end subroutine plastic_nonlocal_results + module subroutine damage_results + end subroutine damage_results end interface + interface constitutive_LpAndItsTangents + + module subroutine constitutive_plastic_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, & + S, Fi, ipc, ip, el) + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + real(pReal), intent(in), dimension(3,3) :: & + S, & !< 2nd Piola-Kirchhoff stress + Fi !< intermediate deformation gradient + real(pReal), intent(out), dimension(3,3) :: & + Lp !< plastic velocity gradient + real(pReal), intent(out), dimension(3,3,3,3) :: & + dLp_dS, & + dLp_dFi !< derivative of Lp with respect to Fi + end subroutine constitutive_plastic_LpAndItsTangents + + end interface constitutive_LpAndItsTangents + + interface constitutive_dependentState + + module subroutine constitutive_plastic_dependentState(F, Fp, ipc, ip, el) + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + real(pReal), intent(in), dimension(3,3) :: & + F, & !< elastic deformation gradient + Fp !< plastic deformation gradient + end subroutine constitutive_plastic_dependentState + + end interface constitutive_dependentState + + + type :: tDebugOptions + logical :: & + basic, & + extensive, & + selective + integer :: & + element, & + ip, & + grain + end type tDebugOptions + + type(tDebugOptions) :: debugConstitutive + public :: & - plastic_nonlocal_updateCompatibility, & constitutive_init, & constitutive_homogenizedC, & - constitutive_dependentState, & constitutive_LpAndItsTangents, & + constitutive_dependentState, & constitutive_LiAndItsTangents, & constitutive_initialFi, & constitutive_SandItsTangents, & constitutive_collectDotState, & constitutive_deltaState, & - constitutive_results - + constitutive_damage_getRateAndItsTangents, & + constitutive_thermal_getRateAndItsTangents, & + constitutive_results, & + constitutive_allocateState, & + plastic_nonlocal_updateCompatibility, & + plastic_active, & + source_active, & + kinematics_active contains !-------------------------------------------------------------------------------------------------- -!> @brief allocates arrays pointing to array of the various constitutive modules +!> @brief Initialze constitutive models for individual physics !-------------------------------------------------------------------------------------------------- subroutine constitutive_init integer :: & - ph, & !< counter in phase loop - s !< counter in source loop + p, & !< counter in phase loop + s, & !< counter in source loop + stiffDegradationCtr + class (tNode), pointer :: & + debug_constitutive, & + phases, & + phase, & + elastic, & + stiffDegradation -!-------------------------------------------------------------------------------------------------- -! initialized plasticity - if (any(phase_plasticity == PLASTICITY_NONE_ID)) call plastic_none_init - if (any(phase_plasticity == PLASTICITY_ISOTROPIC_ID)) call plastic_isotropic_init - if (any(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID)) call plastic_phenopowerlaw_init - if (any(phase_plasticity == PLASTICITY_KINEHARDENING_ID)) call plastic_kinehardening_init - if (any(phase_plasticity == PLASTICITY_DISLOTWIN_ID)) call plastic_dislotwin_init - if (any(phase_plasticity == PLASTICITY_DISLOUCLA_ID)) call plastic_disloucla_init - if (any(phase_plasticity == PLASTICITY_NONLOCAL_ID)) then - call plastic_nonlocal_init - else - call geometry_plastic_nonlocal_disable + debug_constitutive => config_debug%get('constitutive', defaultVal=emptyList) + debugConstitutive%basic = debug_constitutive%contains('basic') + debugConstitutive%extensive = debug_constitutive%contains('extensive') + debugConstitutive%selective = debug_constitutive%contains('selective') + debugConstitutive%element = config_debug%get_asInt('element',defaultVal = 1) + debugConstitutive%ip = config_debug%get_asInt('integrationpoint',defaultVal = 1) + debugConstitutive%grain = config_debug%get_asInt('grain',defaultVal = 1) + +!------------------------------------------------------------------------------------------------- +! initialize elasticity (hooke) !ToDO: Maybe move to elastic submodule along with function homogenizedC? + phases => config_material%get('phase') + allocate(phase_elasticity(phases%length), source = ELASTICITY_undefined_ID) + allocate(phase_elasticityInstance(phases%length), source = 0) + allocate(phase_NstiffnessDegradations(phases%length),source=0) + + do p = 1, phases%length + phase => phases%get(p) + elastic => phase%get('elasticity') + if(elastic%get_asString('type') == 'hooke') then + phase_elasticity(p) = ELASTICITY_HOOKE_ID + else + call IO_error(200,ext_msg=elastic%get_asString('type')) + endif + stiffDegradation => phase%get('stiffness_degradation',defaultVal=emptyList) ! check for stiffness degradation mechanisms + phase_NstiffnessDegradations(p) = stiffDegradation%length + enddo + + allocate(phase_stiffnessDegradation(maxval(phase_NstiffnessDegradations),phases%length), & + source=STIFFNESS_DEGRADATION_undefined_ID) + + if(maxVal(phase_NstiffnessDegradations)/=0) then + do p = 1, phases%length + phase => phases%get(p) + stiffDegradation => phase%get('stiffness_degradation',defaultVal=emptyList) + do stiffDegradationCtr = 1, stiffDegradation%length + if(stiffDegradation%get_asString(stiffDegradationCtr) == 'damage') & + phase_stiffnessDegradation(stiffDegradationCtr,p) = STIFFNESS_DEGRADATION_damage_ID + enddo + enddo endif -!-------------------------------------------------------------------------------------------------- -! initialize source mechanisms - if (any(phase_source == SOURCE_thermal_dissipation_ID)) call source_thermal_dissipation_init - if (any(phase_source == SOURCE_thermal_externalheat_ID)) call source_thermal_externalheat_init - if (any(phase_source == SOURCE_damage_isoBrittle_ID)) call source_damage_isoBrittle_init - if (any(phase_source == SOURCE_damage_isoDuctile_ID)) call source_damage_isoDuctile_init - if (any(phase_source == SOURCE_damage_anisoBrittle_ID)) call source_damage_anisoBrittle_init - if (any(phase_source == SOURCE_damage_anisoDuctile_ID)) call source_damage_anisoDuctile_init + + do p = 1, phases%length + phase_elasticityInstance(p) = count(phase_elasticity(1:p) == phase_elasticity(p)) + enddo + !-------------------------------------------------------------------------------------------------- -! initialize kinematic mechanisms - if (any(phase_kinematics == KINEMATICS_cleavage_opening_ID)) call kinematics_cleavage_opening_init - if (any(phase_kinematics == KINEMATICS_slipplane_opening_ID)) call kinematics_slipplane_opening_init - if (any(phase_kinematics == KINEMATICS_thermal_expansion_ID)) call kinematics_thermal_expansion_init +! initialize constitutive laws + call plastic_init + call damage_init + call thermal_init - write(6,'(/,a)') ' <<<+- constitutive init -+>>>'; flush(6) + print'(/,a)', ' <<<+- constitutive init -+>>>'; flush(IO_STDOUT) constitutive_source_maxSizeDotState = 0 - PhaseLoop2:do ph = 1,material_Nphase + PhaseLoop2:do p = 1,phases%length !-------------------------------------------------------------------------------------------------- -! partition and inititalize state - plasticState(ph)%partionedState0 = plasticState(ph)%state0 - plasticState(ph)%state = plasticState(ph)%partionedState0 - forall(s = 1:phase_Nsources(ph)) - sourceState(ph)%p(s)%partionedState0 = sourceState(ph)%p(s)%state0 - sourceState(ph)%p(s)%state = sourceState(ph)%p(s)%partionedState0 +! partition and initialize state + plasticState(p)%partitionedState0 = plasticState(p)%state0 + plasticState(p)%state = plasticState(p)%partitionedState0 + forall(s = 1:phase_Nsources(p)) + sourceState(p)%p(s)%partitionedState0 = sourceState(p)%p(s)%state0 + sourceState(p)%p(s)%state = sourceState(p)%p(s)%partitionedState0 end forall -!-------------------------------------------------------------------------------------------------- -! determine max size of source state + constitutive_source_maxSizeDotState = max(constitutive_source_maxSizeDotState, & - maxval(sourceState(ph)%p%sizeDotState)) + maxval(sourceState(p)%p%sizeDotState)) enddo PhaseLoop2 constitutive_plasticity_maxSizeDotState = maxval(plasticState%sizeDotState) end subroutine constitutive_init +!-------------------------------------------------------------------------------------------------- +!> @brief checks if a source mechanism is active or not +!-------------------------------------------------------------------------------------------------- +module function source_active(source_label,src_length) result(active_source) + + character(len=*), intent(in) :: source_label !< name of source mechanism + integer, intent(in) :: src_length !< max. number of sources in system + logical, dimension(:,:), allocatable :: active_source + + class(tNode), pointer :: & + phases, & + phase, & + sources, & + src + integer :: p,s + + phases => config_material%get('phase') + allocate(active_source(src_length,phases%length), source = .false. ) + do p = 1, phases%length + phase => phases%get(p) + sources => phase%get('source',defaultVal=emptyList) + do s = 1, sources%length + src => sources%get(s) + if(src%get_asString('type') == source_label) active_source(s,p) = .true. + enddo + enddo + + +end function source_active + + +!-------------------------------------------------------------------------------------------------- +!> @brief checks if a kinematic mechanism is active or not +!-------------------------------------------------------------------------------------------------- + +module function kinematics_active(kinematics_label,kinematics_length) result(active_kinematics) + + character(len=*), intent(in) :: kinematics_label !< name of kinematic mechanism + integer, intent(in) :: kinematics_length !< max. number of kinematics in system + logical, dimension(:,:), allocatable :: active_kinematics + + class(tNode), pointer :: & + phases, & + phase, & + kinematics, & + kinematics_type + integer :: p,k + + phases => config_material%get('phase') + allocate(active_kinematics(kinematics_length,phases%length), source = .false. ) + do p = 1, phases%length + phase => phases%get(p) + kinematics => phase%get('kinematics',defaultVal=emptyList) + do k = 1, kinematics%length + kinematics_type => kinematics%get(k) + if(kinematics_type%get_asString('type') == kinematics_label) active_kinematics(k,p) = .true. + enddo + enddo + + +end function kinematics_active + + !-------------------------------------------------------------------------------------------------- !> @brief returns the homogenize elasticity matrix !> ToDo: homogenizedC66 would be more consistent !-------------------------------------------------------------------------------------------------- function constitutive_homogenizedC(ipc,ip,el) - real(pReal), dimension(6,6) :: constitutive_homogenizedC - integer, intent(in) :: & + real(pReal), dimension(6,6) :: & + constitutive_homogenizedC + integer, intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point el !< element plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el))) case (PLASTICITY_DISLOTWIN_ID) plasticityType - constitutive_homogenizedC = plastic_dislotwin_homogenizedC(ipc,ip,el) + constitutive_homogenizedC = plastic_dislotwin_homogenizedC(ipc,ip,el) case default plasticityType - constitutive_homogenizedC = lattice_C66(1:6,1:6,material_phaseAt(ipc,el)) + constitutive_homogenizedC = lattice_C66(1:6,1:6,material_phaseAt(ipc,el)) end select plasticityType end function constitutive_homogenizedC -!-------------------------------------------------------------------------------------------------- -!> @brief calls microstructure function of the different constitutive models -!-------------------------------------------------------------------------------------------------- -subroutine constitutive_dependentState(F, Fp, ipc, ip, el) - - integer, intent(in) :: & - ipc, & !< component-ID of integration point - ip, & !< integration point - el !< element - real(pReal), intent(in), dimension(3,3) :: & - F, & !< elastic deformation gradient - Fp !< plastic deformation gradient - integer :: & - ho, & !< homogenization - tme, & !< thermal member position - instance, of - - ho = material_homogenizationAt(el) - tme = thermalMapping(ho)%p(ip,el) - of = material_phasememberAt(ipc,ip,el) - instance = phase_plasticityInstance(material_phaseAt(ipc,el)) - - plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el))) - case (PLASTICITY_DISLOTWIN_ID) plasticityType - call plastic_dislotwin_dependentState(temperature(ho)%p(tme),instance,of) - case (PLASTICITY_DISLOUCLA_ID) plasticityType - call plastic_disloUCLA_dependentState(instance,of) - case (PLASTICITY_NONLOCAL_ID) plasticityType - call plastic_nonlocal_dependentState (F,Fp,instance,of,ip,el) - end select plasticityType - -end subroutine constitutive_dependentState - - -!-------------------------------------------------------------------------------------------------- -!> @brief contains the constitutive equation for calculating the velocity gradient -! ToDo: Discuss wheter it makes sense if crystallite handles the configuration conversion, i.e. -! Mp in, dLp_dMp out -!-------------------------------------------------------------------------------------------------- -subroutine constitutive_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, & - S, Fi, ipc, ip, el) - integer, intent(in) :: & - ipc, & !< component-ID of integration point - ip, & !< integration point - el !< element - real(pReal), intent(in), dimension(3,3) :: & - S, & !< 2nd Piola-Kirchhoff stress - Fi !< intermediate deformation gradient - real(pReal), intent(out), dimension(3,3) :: & - Lp !< plastic velocity gradient - real(pReal), intent(out), dimension(3,3,3,3) :: & - dLp_dS, & - dLp_dFi !< derivative of Lp with respect to Fi - real(pReal), dimension(3,3,3,3) :: & - dLp_dMp !< derivative of Lp with respect to Mandel stress - real(pReal), dimension(3,3) :: & - Mp !< Mandel stress work conjugate with Lp - integer :: & - ho, & !< homogenization - tme !< thermal member position - integer :: & - i, j, instance, of - - ho = material_homogenizationAt(el) - tme = thermalMapping(ho)%p(ip,el) - - Mp = matmul(matmul(transpose(Fi),Fi),S) - of = material_phasememberAt(ipc,ip,el) - instance = phase_plasticityInstance(material_phaseAt(ipc,el)) - - plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el))) - - case (PLASTICITY_NONE_ID) plasticityType - Lp = 0.0_pReal - dLp_dMp = 0.0_pReal - - case (PLASTICITY_ISOTROPIC_ID) plasticityType - call plastic_isotropic_LpAndItsTangent (Lp,dLp_dMp,Mp,instance,of) - - case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType - call plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) - - case (PLASTICITY_KINEHARDENING_ID) plasticityType - call plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) - - case (PLASTICITY_NONLOCAL_ID) plasticityType - call plastic_nonlocal_LpAndItsTangent (Lp,dLp_dMp,Mp, temperature(ho)%p(tme),instance,of,ip,el) - - case (PLASTICITY_DISLOTWIN_ID) plasticityType - call plastic_dislotwin_LpAndItsTangent (Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of) - - case (PLASTICITY_DISLOUCLA_ID) plasticityType - call plastic_disloucla_LpAndItsTangent (Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of) - - end select plasticityType - - do i=1,3; do j=1,3 - dLp_dFi(i,j,1:3,1:3) = matmul(matmul(Fi,S),transpose(dLp_dMp(i,j,1:3,1:3))) + & - matmul(matmul(Fi,dLp_dMp(i,j,1:3,1:3)),S) - dLp_dS(i,j,1:3,1:3) = matmul(matmul(transpose(Fi),Fi),dLp_dMp(i,j,1:3,1:3)) ! ToDo: @PS: why not: dLp_dMp:(FiT Fi) - enddo; enddo - -end subroutine constitutive_LpAndItsTangents - - !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient ! ToDo: MD: S is Mi? @@ -660,7 +694,7 @@ end subroutine constitutive_SandItsTangents !-------------------------------------------------------------------------------------------------- !> @brief returns the 2nd Piola-Kirchhoff stress tensor and its tangent with respect to -!> the elastic and intermeidate deformation gradients using Hookes law +!> the elastic and intermediate deformation gradients using Hooke's law !-------------------------------------------------------------------------------------------------- subroutine constitutive_hooke_SandItsTangents(S, dS_dFe, dS_dFi, & Fe, Fi, ipc, ip, el) @@ -714,12 +748,12 @@ function constitutive_collectDotState(S, FArray, Fi, FpArray, subdt, ipc, ip, el integer, intent(in) :: & ipc, & !< component-ID of integration point ip, & !< integration point - el, & !< element + el, & !< element phase, & of real(pReal), intent(in) :: & subdt !< timestep - real(pReal), intent(in), dimension(3,3,homogenization_maxNgrains,discretization_nIP,discretization_nElem) :: & + real(pReal), intent(in), dimension(3,3,homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems) :: & FArray, & !< elastic deformation gradient FpArray !< plastic deformation gradient real(pReal), intent(in), dimension(3,3) :: & @@ -744,7 +778,7 @@ function constitutive_collectDotState(S, FArray, Fi, FpArray, subdt, ipc, ip, el plasticityType: select case (phase_plasticity(phase)) case (PLASTICITY_ISOTROPIC_ID) plasticityType - call plastic_isotropic_dotState (Mp,instance,of) + call plastic_isotropic_dotState(Mp,instance,of) case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType call plastic_phenopowerlaw_dotState(Mp,instance,of) @@ -753,13 +787,13 @@ function constitutive_collectDotState(S, FArray, Fi, FpArray, subdt, ipc, ip, el call plastic_kinehardening_dotState(Mp,instance,of) case (PLASTICITY_DISLOTWIN_ID) plasticityType - call plastic_dislotwin_dotState (Mp,temperature(ho)%p(tme),instance,of) + call plastic_dislotwin_dotState(Mp,temperature(ho)%p(tme),instance,of) - case (PLASTICITY_DISLOUCLA_ID) plasticityType - call plastic_disloucla_dotState (Mp,temperature(ho)%p(tme),instance,of) + case (PLASTICITY_DISLOTUNGSTEN_ID) plasticityType + call plastic_disloTungsten_dotState(Mp,temperature(ho)%p(tme),instance,of) case (PLASTICITY_NONLOCAL_ID) plasticityType - call plastic_nonlocal_dotState (Mp,FArray,FpArray,temperature(ho)%p(tme),subdt, & + call plastic_nonlocal_dotState(Mp,FArray,FpArray,temperature(ho)%p(tme),subdt, & instance,of,ip,el) end select plasticityType broken = any(IEEE_is_NaN(plasticState(phase)%dotState(:,of))) @@ -769,13 +803,13 @@ function constitutive_collectDotState(S, FArray, Fi, FpArray, subdt, ipc, ip, el sourceType: select case (phase_source(i,phase)) case (SOURCE_damage_anisoBrittle_ID) sourceType - call source_damage_anisoBrittle_dotState (S, ipc, ip, el) !< correct stress? + call source_damage_anisoBrittle_dotState(S, ipc, ip, el) ! correct stress? case (SOURCE_damage_isoDuctile_ID) sourceType - call source_damage_isoDuctile_dotState ( ipc, ip, el) + call source_damage_isoDuctile_dotState(ipc, ip, el) case (SOURCE_damage_anisoDuctile_ID) sourceType - call source_damage_anisoDuctile_dotState ( ipc, ip, el) + call source_damage_anisoDuctile_dotState(ipc, ip, el) case (SOURCE_thermal_externalheat_ID) sourceType call source_thermal_externalheat_dotState(phase,of) @@ -867,43 +901,48 @@ function constitutive_deltaState(S, Fe, Fi, ipc, ip, el, phase, of) result(broke end function constitutive_deltaState +!-------------------------------------------------------------------------------------------------- +!> @brief Allocate the components of the state structure for a given phase +!-------------------------------------------------------------------------------------------------- +subroutine constitutive_allocateState(state, & + Nconstituents,sizeState,sizeDotState,sizeDeltaState) + + class(tState), intent(out) :: & + state + integer, intent(in) :: & + Nconstituents, & + sizeState, & + sizeDotState, & + sizeDeltaState + + state%sizeState = sizeState + state%sizeDotState = sizeDotState + state%sizeDeltaState = sizeDeltaState + state%offsetDeltaState = sizeState-sizeDeltaState ! deltaState occupies latter part of state by definition + + allocate(state%atol (sizeState), source=0.0_pReal) + allocate(state%state0 (sizeState,Nconstituents), source=0.0_pReal) + allocate(state%partitionedState0(sizeState,Nconstituents), source=0.0_pReal) + allocate(state%subState0 (sizeState,Nconstituents), source=0.0_pReal) + allocate(state%state (sizeState,Nconstituents), source=0.0_pReal) + + allocate(state%dotState (sizeDotState,Nconstituents), source=0.0_pReal) + + allocate(state%deltaState(sizeDeltaState,Nconstituents), source=0.0_pReal) + + +end subroutine constitutive_allocateState + + !-------------------------------------------------------------------------------------------------- !> @brief writes constitutive results to HDF5 output file !-------------------------------------------------------------------------------------------------- subroutine constitutive_results - integer :: p - character(len=pStringLen) :: group - do p=1,size(config_name_phase) - group = trim('current/constituent')//'/'//trim(config_name_phase(p)) - call results_closeGroup(results_addGroup(group)) - - group = trim(group)//'/plastic' - - call results_closeGroup(results_addGroup(group)) - select case(phase_plasticity(p)) - - case(PLASTICITY_ISOTROPIC_ID) - call plastic_isotropic_results(phase_plasticityInstance(p),group) - - case(PLASTICITY_PHENOPOWERLAW_ID) - call plastic_phenopowerlaw_results(phase_plasticityInstance(p),group) - - case(PLASTICITY_KINEHARDENING_ID) - call plastic_kinehardening_results(phase_plasticityInstance(p),group) - - case(PLASTICITY_DISLOTWIN_ID) - call plastic_dislotwin_results(phase_plasticityInstance(p),group) - - case(PLASTICITY_DISLOUCLA_ID) - call plastic_disloUCLA_results(phase_plasticityInstance(p),group) - - case(PLASTICITY_NONLOCAL_ID) - call plastic_nonlocal_results(phase_plasticityInstance(p),group) - end select - - enddo + call plastic_results + call damage_results end subroutine constitutive_results + end module constitutive diff --git a/src/constitutive_damage.f90 b/src/constitutive_damage.f90 new file mode 100644 index 000000000..56198987e --- /dev/null +++ b/src/constitutive_damage.f90 @@ -0,0 +1,250 @@ +!---------------------------------------------------------------------------------------------------- +!> @brief internal microstructure state for all damage sources and kinematics constitutive models +!---------------------------------------------------------------------------------------------------- +submodule(constitutive) constitutive_damage + + interface + + module function source_damage_anisoBrittle_init(source_length) result(mySources) + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + end function source_damage_anisoBrittle_init + + module function source_damage_anisoDuctile_init(source_length) result(mySources) + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + end function source_damage_anisoDuctile_init + + module function source_damage_isoBrittle_init(source_length) result(mySources) + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + end function source_damage_isoBrittle_init + + module function source_damage_isoDuctile_init(source_length) result(mySources) + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + end function source_damage_isoDuctile_init + + module function kinematics_cleavage_opening_init(kinematics_length) result(myKinematics) + integer, intent(in) :: kinematics_length + logical, dimension(:,:), allocatable :: myKinematics + end function kinematics_cleavage_opening_init + + module function kinematics_slipplane_opening_init(kinematics_length) result(myKinematics) + integer, intent(in) :: kinematics_length + logical, dimension(:,:), allocatable :: myKinematics + end function kinematics_slipplane_opening_init + + + module subroutine source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + integer, intent(in) :: & + phase, & !< phase ID of element + constituent !< position of element within its phase instance + real(pReal), intent(in) :: & + phi !< damage parameter + real(pReal), intent(out) :: & + localphiDot, & + dLocalphiDot_dPhi + end subroutine source_damage_anisoBrittle_getRateAndItsTangent + + module subroutine source_damage_anisoDuctile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + integer, intent(in) :: & + phase, & !< phase ID of element + constituent !< position of element within its phase instance + real(pReal), intent(in) :: & + phi !< damage parameter + real(pReal), intent(out) :: & + localphiDot, & + dLocalphiDot_dPhi + end subroutine source_damage_anisoDuctile_getRateAndItsTangent + + module subroutine source_damage_isoBrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + integer, intent(in) :: & + phase, & !< phase ID of element + constituent !< position of element within its phase instance + real(pReal), intent(in) :: & + phi !< damage parameter + real(pReal), intent(out) :: & + localphiDot, & + dLocalphiDot_dPhi + end subroutine source_damage_isoBrittle_getRateAndItsTangent + + module subroutine source_damage_isoDuctile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + integer, intent(in) :: & + phase, & !< phase ID of element + constituent !< position of element within its phase instance + real(pReal), intent(in) :: & + phi !< damage parameter + real(pReal), intent(out) :: & + localphiDot, & + dLocalphiDot_dPhi + end subroutine source_damage_isoDuctile_getRateAndItsTangent + + module subroutine source_damage_anisoBrittle_results(phase,group) + integer, intent(in) :: phase + character(len=*), intent(in) :: group + end subroutine source_damage_anisoBrittle_results + + module subroutine source_damage_anisoDuctile_results(phase,group) + integer, intent(in) :: phase + character(len=*), intent(in) :: group + end subroutine source_damage_anisoDuctile_results + + module subroutine source_damage_isoBrittle_results(phase,group) + integer, intent(in) :: phase + character(len=*), intent(in) :: group + end subroutine source_damage_isoBrittle_results + + module subroutine source_damage_isoDuctile_results(phase,group) + integer, intent(in) :: phase + character(len=*), intent(in) :: group + end subroutine source_damage_isoDuctile_results + + end interface + +contains + +!---------------------------------------------------------------------------------------------- +!< @brief initialize damage sources and kinematics mechanism +!---------------------------------------------------------------------------------------------- +module subroutine damage_init + + integer :: & + ph !< counter in phase loop + class(tNode), pointer :: & + phases, & + phase, & + sources, & + kinematics + + phases => config_material%get('phase') + + allocate(sourceState (phases%length)) + allocate(phase_Nsources(phases%length),source = 0) ! same for kinematics + + do ph = 1,phases%length + phase => phases%get(ph) + sources => phase%get('source',defaultVal=emptyList) + phase_Nsources(ph) = sources%length + allocate(sourceState(ph)%p(phase_Nsources(ph))) + enddo + + allocate(phase_source(maxval(phase_Nsources),phases%length), source = SOURCE_undefined_ID) + +! initialize source mechanisms + if(maxval(phase_Nsources) /= 0) then + where(source_damage_isoBrittle_init (maxval(phase_Nsources))) phase_source = SOURCE_damage_isoBrittle_ID + where(source_damage_isoDuctile_init (maxval(phase_Nsources))) phase_source = SOURCE_damage_isoDuctile_ID + where(source_damage_anisoBrittle_init (maxval(phase_Nsources))) phase_source = SOURCE_damage_anisoBrittle_ID + where(source_damage_anisoDuctile_init (maxval(phase_Nsources))) phase_source = SOURCE_damage_anisoDuctile_ID + endif + +!-------------------------------------------------------------------------------------------------- +! initialize kinematic mechanisms + allocate(phase_Nkinematics(phases%length),source = 0) + do ph = 1,phases%length + phase => phases%get(ph) + kinematics => phase%get('kinematics',defaultVal=emptyList) + phase_Nkinematics(ph) = kinematics%length + enddo + + allocate(phase_kinematics(maxval(phase_Nkinematics),phases%length), source = KINEMATICS_undefined_ID) + + if(maxval(phase_Nkinematics) /= 0) then + where(kinematics_cleavage_opening_init(maxval(phase_Nkinematics))) phase_kinematics = KINEMATICS_cleavage_opening_ID + where(kinematics_slipplane_opening_init(maxval(phase_Nkinematics))) phase_kinematics = KINEMATICS_slipplane_opening_ID + endif + +end subroutine damage_init + + +!---------------------------------------------------------------------------------------------- +!< @brief returns local part of nonlocal damage driving force +!---------------------------------------------------------------------------------------------- +module subroutine constitutive_damage_getRateAndItsTangents(phiDot, dPhiDot_dPhi, phi, ip, el) + + integer, intent(in) :: & + ip, & !< integration point number + el !< element number + real(pReal), intent(in) :: & + phi !< damage parameter + real(pReal), intent(inout) :: & + phiDot, & + dPhiDot_dPhi + + real(pReal) :: & + localphiDot, & + dLocalphiDot_dPhi + integer :: & + phase, & + grain, & + source, & + constituent + + phiDot = 0.0_pReal + dPhiDot_dPhi = 0.0_pReal + + do grain = 1, homogenization_Nconstituents(material_homogenizationAt(el)) + phase = material_phaseAt(grain,el) + constituent = material_phasememberAt(grain,ip,el) + do source = 1, phase_Nsources(phase) + select case(phase_source(source,phase)) + case (SOURCE_damage_isoBrittle_ID) + call source_damage_isobrittle_getRateAndItsTangent (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + + case (SOURCE_damage_isoDuctile_ID) + call source_damage_isoductile_getRateAndItsTangent (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + + case (SOURCE_damage_anisoBrittle_ID) + call source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + + case (SOURCE_damage_anisoDuctile_ID) + call source_damage_anisoductile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + + case default + localphiDot = 0.0_pReal + dLocalphiDot_dPhi = 0.0_pReal + + end select + phiDot = phiDot + localphiDot + dPhiDot_dPhi = dPhiDot_dPhi + dLocalphiDot_dPhi + enddo + enddo + +end subroutine constitutive_damage_getRateAndItsTangents + + +!---------------------------------------------------------------------------------------------- +!< @brief writes damage sources results to HDF5 output file +!---------------------------------------------------------------------------------------------- +module subroutine damage_results + + integer :: p,i + character(len=pStringLen) :: group + + do p = 1, size(material_name_phase) + + sourceLoop: do i = 1, phase_Nsources(p) + group = trim('current/constituent')//'/'//trim(material_name_phase(p)) + group = trim(group)//'/sources' + call results_closeGroup(results_addGroup(group)) + + sourceType: select case (phase_source(i,p)) + + case (SOURCE_damage_anisoBrittle_ID) sourceType + call source_damage_anisoBrittle_results(p,group) + case (SOURCE_damage_anisoDuctile_ID) sourceType + call source_damage_anisoDuctile_results(p,group) + case (SOURCE_damage_isoBrittle_ID) sourceType + call source_damage_isoBrittle_results(p,group) + case (SOURCE_damage_isoDuctile_ID) sourceType + call source_damage_isoDuctile_results(p,group) + end select sourceType + + enddo SourceLoop + enddo + +end subroutine damage_results + + +end submodule constitutive_damage diff --git a/src/constitutive_plastic.f90 b/src/constitutive_plastic.f90 new file mode 100644 index 000000000..bf6bc079e --- /dev/null +++ b/src/constitutive_plastic.f90 @@ -0,0 +1,400 @@ +!---------------------------------------------------------------------------------------------------- +!> @brief internal microstructure state for all plasticity constitutive models +!---------------------------------------------------------------------------------------------------- +submodule(constitutive) constitutive_plastic + + interface + + module function plastic_none_init() result(myPlasticity) + logical, dimension(:), allocatable :: & + myPlasticity + end function plastic_none_init + + module function plastic_isotropic_init() result(myPlasticity) + logical, dimension(:), allocatable :: & + myPlasticity + end function plastic_isotropic_init + + module function plastic_phenopowerlaw_init() result(myPlasticity) + logical, dimension(:), allocatable :: & + myPlasticity + end function plastic_phenopowerlaw_init + + module function plastic_kinehardening_init() result(myPlasticity) + logical, dimension(:), allocatable :: & + myPlasticity + end function plastic_kinehardening_init + + module function plastic_dislotwin_init() result(myPlasticity) + logical, dimension(:), allocatable :: & + myPlasticity + end function plastic_dislotwin_init + + module function plastic_disloTungsten_init() result(myPlasticity) + logical, dimension(:), allocatable :: & + myPlasticity + end function plastic_disloTungsten_init + + module function plastic_nonlocal_init() result(myPlasticity) + logical, dimension(:), allocatable :: & + myPlasticity + end function plastic_nonlocal_init + + + module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) + real(pReal), dimension(3,3), intent(out) :: & + Lp !< plastic velocity gradient + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLp_dMp !< derivative of Lp with respect to the Mandel stress + + real(pReal), dimension(3,3), intent(in) :: & + Mp !< Mandel stress + integer, intent(in) :: & + instance, & + of + end subroutine plastic_isotropic_LpAndItsTangent + + pure module subroutine plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) + real(pReal), dimension(3,3), intent(out) :: & + Lp !< plastic velocity gradient + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLp_dMp !< derivative of Lp with respect to the Mandel stress + real(pReal), dimension(3,3), intent(in) :: & + Mp !< Mandel stress + integer, intent(in) :: & + instance, & + of + end subroutine plastic_phenopowerlaw_LpAndItsTangent + + pure module subroutine plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) + real(pReal), dimension(3,3), intent(out) :: & + Lp !< plastic velocity gradient + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLp_dMp !< derivative of Lp with respect to the Mandel stress + + real(pReal), dimension(3,3), intent(in) :: & + Mp !< Mandel stress + integer, intent(in) :: & + instance, & + of + end subroutine plastic_kinehardening_LpAndItsTangent + + module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) + real(pReal), dimension(3,3), intent(out) :: & + Lp !< plastic velocity gradient + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLp_dMp !< derivative of Lp with respect to the Mandel stress + + real(pReal), dimension(3,3), intent(in) :: & + Mp !< Mandel stress + real(pReal), intent(in) :: & + T + integer, intent(in) :: & + instance, & + of + end subroutine plastic_dislotwin_LpAndItsTangent + + pure module subroutine plastic_disloTungsten_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) + real(pReal), dimension(3,3), intent(out) :: & + Lp !< plastic velocity gradient + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLp_dMp !< derivative of Lp with respect to the Mandel stress + + real(pReal), dimension(3,3), intent(in) :: & + Mp !< Mandel stress + real(pReal), intent(in) :: & + T + integer, intent(in) :: & + instance, & + of + end subroutine plastic_disloTungsten_LpAndItsTangent + + module subroutine plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp, & + Mp,Temperature,instance,of,ip,el) + real(pReal), dimension(3,3), intent(out) :: & + Lp !< plastic velocity gradient + real(pReal), dimension(3,3,3,3), intent(out) :: & + dLp_dMp !< derivative of Lp with respect to the Mandel stress + + real(pReal), dimension(3,3), intent(in) :: & + Mp !< Mandel stress + real(pReal), intent(in) :: & + Temperature + integer, intent(in) :: & + instance, & + of, & + ip, & !< current integration point + el !< current element number + end subroutine plastic_nonlocal_LpAndItsTangent + + + module subroutine plastic_dislotwin_dependentState(T,instance,of) + integer, intent(in) :: & + instance, & + of + real(pReal), intent(in) :: & + T + end subroutine plastic_dislotwin_dependentState + + module subroutine plastic_disloTungsten_dependentState(instance,of) + integer, intent(in) :: & + instance, & + of + end subroutine plastic_disloTungsten_dependentState + + module subroutine plastic_nonlocal_dependentState(F, Fp, instance, of, ip, el) + real(pReal), dimension(3,3), intent(in) :: & + F, & !< deformation gradient + Fp !< plastic deformation gradient + integer, intent(in) :: & + instance, & + of, & + ip, & !< current integration point + el !< current element number + end subroutine plastic_nonlocal_dependentState + + module subroutine plastic_isotropic_results(instance,group) + integer, intent(in) :: instance + character(len=*), intent(in) :: group + end subroutine plastic_isotropic_results + + module subroutine plastic_phenopowerlaw_results(instance,group) + integer, intent(in) :: instance + character(len=*), intent(in) :: group + end subroutine plastic_phenopowerlaw_results + + module subroutine plastic_kinehardening_results(instance,group) + integer, intent(in) :: instance + character(len=*), intent(in) :: group + end subroutine plastic_kinehardening_results + + module subroutine plastic_dislotwin_results(instance,group) + integer, intent(in) :: instance + character(len=*), intent(in) :: group + end subroutine plastic_dislotwin_results + + module subroutine plastic_disloTungsten_results(instance,group) + integer, intent(in) :: instance + character(len=*), intent(in) :: group + end subroutine plastic_disloTungsten_results + + module subroutine plastic_nonlocal_results(instance,group) + integer, intent(in) :: instance + character(len=*), intent(in) :: group + end subroutine plastic_nonlocal_results + + + end interface + + +contains + + +!-------------------------------------------------------------------------------------------------- +!> @brief Initialize constitutive models for plasticity +!-------------------------------------------------------------------------------------------------- +module subroutine plastic_init + + integer :: p + class(tNode), pointer :: phases + + print'(/,a)', ' <<<+- constitutive_plastic init -+>>>' + + phases => config_material%get('phase') + + allocate(plasticState(phases%length)) + allocate(phase_plasticity(phases%length),source = PLASTICITY_undefined_ID) + allocate(phase_plasticityInstance(phases%length),source = 0) + allocate(phase_localPlasticity(phases%length), source=.true.) + + where(plastic_none_init()) phase_plasticity = PLASTICITY_NONE_ID + where(plastic_isotropic_init()) phase_plasticity = PLASTICITY_ISOTROPIC_ID + where(plastic_phenopowerlaw_init()) phase_plasticity = PLASTICITY_PHENOPOWERLAW_ID + where(plastic_kinehardening_init()) phase_plasticity = PLASTICITY_KINEHARDENING_ID + where(plastic_dislotwin_init()) phase_plasticity = PLASTICITY_DISLOTWIN_ID + where(plastic_disloTungsten_init()) phase_plasticity = PLASTICITY_DISLOTUNGSTEN_ID + where(plastic_nonlocal_init()) phase_plasticity = PLASTICITY_NONLOCAL_ID + + do p = 1, phases%length + phase_plasticityInstance(p) = count(phase_plasticity(1:p) == phase_plasticity(p)) + enddo + + +end subroutine plastic_init + + +!-------------------------------------------------------------------------------------------------- +!> @brief checks if a plastic module is active or not +!-------------------------------------------------------------------------------------------------- +module function plastic_active(plastic_label) result(active_plastic) + + character(len=*), intent(in) :: plastic_label !< type of plasticity model + logical, dimension(:), allocatable :: active_plastic + + class(tNode), pointer :: & + phases, & + phase, & + pl + integer :: p + + phases => config_material%get('phase') + allocate(active_plastic(phases%length), source = .false. ) + do p = 1, phases%length + phase => phases%get(p) + pl => phase%get('plasticity') + if(pl%get_asString('type') == plastic_label) active_plastic(p) = .true. + enddo + +end function plastic_active + + +!-------------------------------------------------------------------------------------------------- +!> @brief calls microstructure function of the different plasticity constitutive models +!-------------------------------------------------------------------------------------------------- +module subroutine constitutive_plastic_dependentState(F, Fp, ipc, ip, el) + + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + real(pReal), intent(in), dimension(3,3) :: & + F, & !< elastic deformation gradient + Fp !< plastic deformation gradient + + integer :: & + ho, & !< homogenization + tme, & !< thermal member position + instance, of + + ho = material_homogenizationAt(el) + tme = thermalMapping(ho)%p(ip,el) + of = material_phasememberAt(ipc,ip,el) + instance = phase_plasticityInstance(material_phaseAt(ipc,el)) + + plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el))) + case (PLASTICITY_DISLOTWIN_ID) plasticityType + call plastic_dislotwin_dependentState(temperature(ho)%p(tme),instance,of) + case (PLASTICITY_DISLOTUNGSTEN_ID) plasticityType + call plastic_disloTungsten_dependentState(instance,of) + case (PLASTICITY_NONLOCAL_ID) plasticityType + call plastic_nonlocal_dependentState (F,Fp,instance,of,ip,el) + end select plasticityType + +end subroutine constitutive_plastic_dependentState + + +!-------------------------------------------------------------------------------------------------- +!> @brief contains the constitutive equation for calculating the velocity gradient +! ToDo: Discuss whether it makes sense if crystallite handles the configuration conversion, i.e. +! Mp in, dLp_dMp out +!-------------------------------------------------------------------------------------------------- +module subroutine constitutive_plastic_LpAndItsTangents(Lp, dLp_dS, dLp_dFi, & + S, Fi, ipc, ip, el) + integer, intent(in) :: & + ipc, & !< component-ID of integration point + ip, & !< integration point + el !< element + real(pReal), intent(in), dimension(3,3) :: & + S, & !< 2nd Piola-Kirchhoff stress + Fi !< intermediate deformation gradient + real(pReal), intent(out), dimension(3,3) :: & + Lp !< plastic velocity gradient + real(pReal), intent(out), dimension(3,3,3,3) :: & + dLp_dS, & + dLp_dFi !< derivative of Lp with respect to Fi + + real(pReal), dimension(3,3,3,3) :: & + dLp_dMp !< derivative of Lp with respect to Mandel stress + real(pReal), dimension(3,3) :: & + Mp !< Mandel stress work conjugate with Lp + integer :: & + ho, & !< homogenization + tme !< thermal member position + integer :: & + i, j, instance, of + + ho = material_homogenizationAt(el) + tme = thermalMapping(ho)%p(ip,el) + + Mp = matmul(matmul(transpose(Fi),Fi),S) + of = material_phasememberAt(ipc,ip,el) + instance = phase_plasticityInstance(material_phaseAt(ipc,el)) + + plasticityType: select case (phase_plasticity(material_phaseAt(ipc,el))) + + case (PLASTICITY_NONE_ID) plasticityType + Lp = 0.0_pReal + dLp_dMp = 0.0_pReal + + case (PLASTICITY_ISOTROPIC_ID) plasticityType + call plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) + + case (PLASTICITY_PHENOPOWERLAW_ID) plasticityType + call plastic_phenopowerlaw_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) + + case (PLASTICITY_KINEHARDENING_ID) plasticityType + call plastic_kinehardening_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) + + case (PLASTICITY_NONLOCAL_ID) plasticityType + call plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp,Mp, temperature(ho)%p(tme),instance,of,ip,el) + + case (PLASTICITY_DISLOTWIN_ID) plasticityType + call plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of) + + case (PLASTICITY_DISLOTUNGSTEN_ID) plasticityType + call plastic_disloTungsten_LpAndItsTangent(Lp,dLp_dMp,Mp,temperature(ho)%p(tme),instance,of) + + end select plasticityType + + do i=1,3; do j=1,3 + dLp_dFi(i,j,1:3,1:3) = matmul(matmul(Fi,S),transpose(dLp_dMp(i,j,1:3,1:3))) + & + matmul(matmul(Fi,dLp_dMp(i,j,1:3,1:3)),S) + dLp_dS(i,j,1:3,1:3) = matmul(matmul(transpose(Fi),Fi),dLp_dMp(i,j,1:3,1:3)) ! ToDo: @PS: why not: dLp_dMp:(FiT Fi) + enddo; enddo + +end subroutine constitutive_plastic_LpAndItsTangents + + +!-------------------------------------------------------------------------------------------- +!> @brief writes plasticity constitutive results to HDF5 output file +!-------------------------------------------------------------------------------------------- +module subroutine plastic_results + + integer :: p + character(len=pStringLen) :: group + + plasticityLoop: do p=1,size(material_name_phase) + group = trim('current/constituent')//'/'//trim(material_name_phase(p)) + call results_closeGroup(results_addGroup(group)) + + group = trim(group)//'/plastic' + + call results_closeGroup(results_addGroup(group)) + select case(phase_plasticity(p)) + + case(PLASTICITY_ISOTROPIC_ID) + call plastic_isotropic_results(phase_plasticityInstance(p),group) + + case(PLASTICITY_PHENOPOWERLAW_ID) + call plastic_phenopowerlaw_results(phase_plasticityInstance(p),group) + + case(PLASTICITY_KINEHARDENING_ID) + call plastic_kinehardening_results(phase_plasticityInstance(p),group) + + case(PLASTICITY_DISLOTWIN_ID) + call plastic_dislotwin_results(phase_plasticityInstance(p),group) + + case(PLASTICITY_DISLOTUNGSTEN_ID) + call plastic_disloTungsten_results(phase_plasticityInstance(p),group) + + case(PLASTICITY_NONLOCAL_ID) + call plastic_nonlocal_results(phase_plasticityInstance(p),group) + end select + + enddo plasticityLoop + +end subroutine plastic_results + + +end submodule constitutive_plastic + diff --git a/src/constitutive_plastic_disloUCLA.f90 b/src/constitutive_plastic_disloTungsten.f90 similarity index 72% rename from src/constitutive_plastic_disloUCLA.f90 rename to src/constitutive_plastic_disloTungsten.f90 index 90a933910..aef3bef89 100644 --- a/src/constitutive_plastic_disloUCLA.f90 +++ b/src/constitutive_plastic_disloTungsten.f90 @@ -5,7 +5,7 @@ !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH !> @brief crystal plasticity model for bcc metals, especially Tungsten !-------------------------------------------------------------------------------------------------- -submodule(constitutive) plastic_disloUCLA +submodule(constitutive:constitutive_plastic) plastic_disloTungsten real(pReal), parameter :: & kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin @@ -17,18 +17,18 @@ submodule(constitutive) plastic_disloUCLA D_0 = 1.0_pReal, & !< prefactor for self-diffusion coefficient Q_cl = 1.0_pReal !< activation energy for dislocation climb real(pReal), allocatable, dimension(:) :: & - b_sl, & !< magnitude of burgers vector [m] + b_sl, & !< magnitude of Burgers vector [m] D_a, & i_sl, & !< Adj. parameter for distance between 2 forest dislocations - atomicVolume, & - tau_0, & + f_at, & !< factor to calculate atomic volume + tau_Peierls, & !< Peierls stress !* mobility law parameters - delta_F, & !< activation energy for glide [J] - v0, & !< dislocation velocity prefactor [m/s] + Q_s, & !< activation energy for glide [J] + v_0, & !< dislocation velocity prefactor [m/s] p, & !< p-exponent in glide velocity q, & !< q-exponent in glide velocity B, & !< friction coefficient - kink_height, & !< height of the kink pair + h, & !< height of the kink pair w, & !< width of the kink pair omega !< attempt frequency for kink pair nucleation real(pReal), allocatable, dimension(:,:) :: & @@ -46,26 +46,26 @@ submodule(constitutive) plastic_disloUCLA dipoleFormation !< flag indicating consideration of dipole formation end type !< container type for internal constitutive parameters - type :: tDisloUCLAState + type :: tDisloTungstenState real(pReal), dimension(:,:), pointer :: & rho_mob, & rho_dip, & gamma_sl - end type tDisloUCLAState + end type tDisloTungstenState - type :: tDisloUCLAdependentState + type :: tDisloTungstendependentState real(pReal), dimension(:,:), allocatable :: & Lambda_sl, & threshold_stress - end type tDisloUCLAdependentState + end type tDisloTungstendependentState !-------------------------------------------------------------------------------------------------- ! containers for parameters and state type(tParameters), allocatable, dimension(:) :: param - type(tDisloUCLAState), allocatable, dimension(:) :: & + type(tDisloTungstenState), allocatable, dimension(:) :: & dotState, & state - type(tDisloUCLAdependentState), allocatable, dimension(:) :: dependentState + type(tDisloTungstendependentState), allocatable, dimension(:) :: dependentState contains @@ -74,12 +74,13 @@ contains !> @brief Perform module initialization. !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -module subroutine plastic_disloUCLA_init +module function plastic_disloTungsten_init() result(myPlasticity) + logical, dimension(:), allocatable :: myPlasticity integer :: & - Ninstance, & + Ninstances, & p, i, & - NipcMyPhase, & + Nconstituents, & sizeState, sizeDotState, & startIndex, endIndex integer, dimension(:), allocatable :: & @@ -90,44 +91,58 @@ module subroutine plastic_disloUCLA_init a !< non-Schmid coefficients character(len=pStringLen) :: & extmsg = '' + class(tNode), pointer :: & + phases, & + phase, & + pl - write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_DISLOUCLA_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- plastic_dislotungsten init -+>>>' - write(6,'(/,a)') ' Cereceda et al., International Journal of Plasticity 78:242–256, 2016' - write(6,'(a)') ' https://dx.doi.org/10.1016/j.ijplas.2015.09.002' + myPlasticity = plastic_active('disloTungsten') + Ninstances = count(myPlasticity) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return + + print*, 'Cereceda et al., International Journal of Plasticity 78:242–256, 2016' + print*, 'https://dx.doi.org/10.1016/j.ijplas.2015.09.002' - Ninstance = count(phase_plasticity == PLASTICITY_DISLOUCLA_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + allocate(param(Ninstances)) + allocate(state(Ninstances)) + allocate(dotState(Ninstances)) + allocate(dependentState(Ninstances)) - allocate(param(Ninstance)) - allocate(state(Ninstance)) - allocate(dotState(Ninstance)) - allocate(dependentState(Ninstance)) + phases => config_material%get('phase') + i = 0 + do p = 1, phases%length + phase => phases%get(p) - do p = 1, size(phase_plasticity) - if (phase_plasticity(p) /= PLASTICITY_DISLOUCLA_ID) cycle - associate(prm => param(phase_plasticityInstance(p)), & - dot => dotState(phase_plasticityInstance(p)), & - stt => state(phase_plasticityInstance(p)), & - dst => dependentState(phase_plasticityInstance(p)), & - config => config_phase(p)) + if(.not. myPlasticity(p)) cycle + i = i + 1 + associate(prm => param(i), & + dot => dotState(i), & + stt => state(i), & + dst => dependentState(i)) + pl => phase%get('plasticity') - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(pl) +#else + prm%output = pl%get_asStrings('output',defaultVal=emptyStringArray) +#endif ! This data is read in already in lattice prm%mu = lattice_mu(p) !-------------------------------------------------------------------------------------------------- ! slip related parameters - N_sl = config%getInts('nslip',defaultVal=emptyIntArray) + N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) prm%sum_N_sl = sum(abs(N_sl)) slipActive: if (prm%sum_N_sl > 0) then - prm%P_sl = lattice_SchmidMatrix_slip(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%P_sl = lattice_SchmidMatrix_slip(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - if(trim(config%getString('lattice_structure')) == 'bcc') then - a = config%getFloats('nonschmid_coefficients',defaultVal = emptyRealArray) + if(trim(phase%get_asString('lattice')) == 'bcc') then + a = pl%get_asFloats('a_nonSchmid',defaultVal = emptyRealArray) prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,a,-1) else @@ -135,69 +150,70 @@ module subroutine plastic_disloUCLA_init prm%nonSchmid_neg = prm%P_sl endif - prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl,config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure')) - prm%forestProjection = lattice_forestProjection_edge(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl,pl%get_asFloats('h_sl_sl'), & + phase%get_asString('lattice')) + prm%forestProjection = lattice_forestProjection_edge(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) prm%forestProjection = transpose(prm%forestProjection) - rho_mob_0 = config%getFloats('rhoedge0', requiredSize=size(N_sl)) - rho_dip_0 = config%getFloats('rhoedgedip0', requiredSize=size(N_sl)) - prm%v0 = config%getFloats('v0', requiredSize=size(N_sl)) - prm%b_sl = config%getFloats('slipburgers', requiredSize=size(N_sl)) - prm%delta_F = config%getFloats('qedge', requiredSize=size(N_sl)) + rho_mob_0 = pl%get_asFloats('rho_mob_0', requiredSize=size(N_sl)) + rho_dip_0 = pl%get_asFloats('rho_dip_0', requiredSize=size(N_sl)) + prm%v_0 = pl%get_asFloats('v_0', requiredSize=size(N_sl)) + prm%b_sl = pl%get_asFloats('b_sl', requiredSize=size(N_sl)) + prm%Q_s = pl%get_asFloats('Q_s', requiredSize=size(N_sl)) - prm%i_sl = config%getFloats('clambdaslip', requiredSize=size(N_sl)) - prm%tau_0 = config%getFloats('tau_peierls', requiredSize=size(N_sl)) - prm%p = config%getFloats('p_slip', requiredSize=size(N_sl), & + prm%i_sl = pl%get_asFloats('i_sl', requiredSize=size(N_sl)) + prm%tau_Peierls = pl%get_asFloats('tau_Peierls', requiredSize=size(N_sl)) + prm%p = pl%get_asFloats('p_sl', requiredSize=size(N_sl), & defaultVal=[(1.0_pReal,i=1,size(N_sl))]) - prm%q = config%getFloats('q_slip', requiredSize=size(N_sl), & + prm%q = pl%get_asFloats('q_sl', requiredSize=size(N_sl), & defaultVal=[(1.0_pReal,i=1,size(N_sl))]) - prm%kink_height = config%getFloats('kink_height', requiredSize=size(N_sl)) - prm%w = config%getFloats('kink_width', requiredSize=size(N_sl)) - prm%omega = config%getFloats('omega', requiredSize=size(N_sl)) - prm%B = config%getFloats('friction_coeff', requiredSize=size(N_sl)) + prm%h = pl%get_asFloats('h', requiredSize=size(N_sl)) + prm%w = pl%get_asFloats('w', requiredSize=size(N_sl)) + prm%omega = pl%get_asFloats('omega', requiredSize=size(N_sl)) + prm%B = pl%get_asFloats('B', requiredSize=size(N_sl)) - prm%D = config%getFloat('grainsize') - prm%D_0 = config%getFloat('d0') - prm%Q_cl = config%getFloat('qsd') - prm%atomicVolume = config%getFloat('catomicvolume') * prm%b_sl**3.0_pReal - prm%D_a = config%getFloat('cedgedipmindistance') * prm%b_sl - prm%dipoleformation = config%getFloat('dipoleformationfactor') > 0.0_pReal !should be on by default, ToDo: change to /key/-type key + prm%D = pl%get_asFloat('D') + prm%D_0 = pl%get_asFloat('D_0') + prm%Q_cl = pl%get_asFloat('Q_cl') + prm%f_at = pl%get_asFloat('f_at') * prm%b_sl**3.0_pReal + prm%D_a = pl%get_asFloat('D_a') * prm%b_sl + + prm%dipoleformation = pl%get_asBool('dipole_formation_factor', defaultVal = .true.) ! expand: family => system rho_mob_0 = math_expand(rho_mob_0, N_sl) rho_dip_0 = math_expand(rho_dip_0, N_sl) prm%q = math_expand(prm%q, N_sl) prm%p = math_expand(prm%p, N_sl) - prm%delta_F = math_expand(prm%delta_F, N_sl) + prm%Q_s = math_expand(prm%Q_s, N_sl) prm%b_sl = math_expand(prm%b_sl, N_sl) - prm%kink_height = math_expand(prm%kink_height, N_sl) + prm%h = math_expand(prm%h, N_sl) prm%w = math_expand(prm%w, N_sl) prm%omega = math_expand(prm%omega, N_sl) - prm%tau_0 = math_expand(prm%tau_0, N_sl) - prm%v0 = math_expand(prm%v0, N_sl) + prm%tau_Peierls = math_expand(prm%tau_Peierls, N_sl) + prm%v_0 = math_expand(prm%v_0, N_sl) prm%B = math_expand(prm%B, N_sl) prm%i_sl = math_expand(prm%i_sl, N_sl) - prm%atomicVolume = math_expand(prm%atomicVolume, N_sl) + prm%f_at = math_expand(prm%f_at, N_sl) prm%D_a = math_expand(prm%D_a, N_sl) ! sanity checks if ( prm%D_0 <= 0.0_pReal) extmsg = trim(extmsg)//' D_0' if ( prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' - if (any(rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoedge0' - if (any(rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoedgedip0' - if (any(prm%v0 < 0.0_pReal)) extmsg = trim(extmsg)//' v0' + if (any(rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_mob_0' + if (any(rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_dip_0' + if (any(prm%v_0 < 0.0_pReal)) extmsg = trim(extmsg)//' v_0' if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' - if (any(prm%delta_F <= 0.0_pReal)) extmsg = trim(extmsg)//' qedge' - if (any(prm%tau_0 < 0.0_pReal)) extmsg = trim(extmsg)//' tau_0' - if (any(prm%D_a <= 0.0_pReal)) extmsg = trim(extmsg)//' cedgedipmindistance or b_sl' - if (any(prm%atomicVolume <= 0.0_pReal)) extmsg = trim(extmsg)//' catomicvolume or b_sl' + if (any(prm%Q_s <= 0.0_pReal)) extmsg = trim(extmsg)//' Q_s' + if (any(prm%tau_Peierls < 0.0_pReal)) extmsg = trim(extmsg)//' tau_Peierls' + if (any(prm%D_a <= 0.0_pReal)) extmsg = trim(extmsg)//' D_a or b_sl' + if (any(prm%f_at <= 0.0_pReal)) extmsg = trim(extmsg)//' f_at or b_sl' else slipActive rho_mob_0= emptyRealArray; rho_dip_0 = emptyRealArray - allocate(prm%b_sl,prm%D_a,prm%i_sl,prm%atomicVolume,prm%tau_0, & - prm%delta_F,prm%v0,prm%p,prm%q,prm%B,prm%kink_height,prm%w,prm%omega, & + allocate(prm%b_sl,prm%D_a,prm%i_sl,prm%f_at,prm%tau_Peierls, & + prm%Q_s,prm%v_0,prm%p,prm%q,prm%B,prm%h,prm%w,prm%omega, & source = emptyRealArray) allocate(prm%forestProjection(0,0)) allocate(prm%h_sl_sl (0,0)) @@ -205,28 +221,28 @@ module subroutine plastic_disloUCLA_init !-------------------------------------------------------------------------------------------------- ! allocate state arrays - NipcMyPhase = count(material_phaseAt == p) * discretization_nIP + Nconstituents = count(material_phaseAt == p) * discretization_nIPs sizeDotState = size(['rho_mob ','rho_dip ','gamma_sl']) * prm%sum_N_sl sizeState = sizeDotState - call material_allocateState(plasticState(p),NipcMyPhase,sizeState,sizeDotState,0) + call constitutive_allocateState(plasticState(p),Nconstituents,sizeState,sizeDotState,0) !-------------------------------------------------------------------------------------------------- ! state aliases and initialization startIndex = 1 endIndex = prm%sum_N_sl stt%rho_mob => plasticState(p)%state(startIndex:endIndex,:) - stt%rho_mob = spread(rho_mob_0,2,NipcMyPhase) + stt%rho_mob = spread(rho_mob_0,2,Nconstituents) dot%rho_mob => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_rho',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_rho',defaultVal=1.0_pReal) if (any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_rho' startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_sl stt%rho_dip => plasticState(p)%state(startIndex:endIndex,:) - stt%rho_dip = spread(rho_dip_0,2,NipcMyPhase) + stt%rho_dip = spread(rho_dip_0,2,Nconstituents) dot%rho_dip => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_rho',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_rho',defaultVal=1.0_pReal) startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_sl @@ -236,8 +252,8 @@ module subroutine plastic_disloUCLA_init ! global alias plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:) - allocate(dst%Lambda_sl(prm%sum_N_sl,NipcMyPhase), source=0.0_pReal) - allocate(dst%threshold_stress(prm%sum_N_sl,NipcMyPhase), source=0.0_pReal) + allocate(dst%Lambda_sl(prm%sum_N_sl,Nconstituents), source=0.0_pReal) + allocate(dst%threshold_stress(prm%sum_N_sl,Nconstituents), source=0.0_pReal) plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally @@ -245,17 +261,17 @@ module subroutine plastic_disloUCLA_init !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_DISLOUCLA_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(disloTungsten)') enddo -end subroutine plastic_disloUCLA_init +end function plastic_disloTungsten_init !-------------------------------------------------------------------------------------------------- !> @brief Calculate plastic velocity gradient and its tangent. !-------------------------------------------------------------------------------------------------- -pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, & +pure module subroutine plastic_disloTungsten_LpAndItsTangent(Lp,dLp_dMp, & Mp,T,instance,of) real(pReal), dimension(3,3), intent(out) :: & Lp !< plastic velocity gradient @@ -292,13 +308,13 @@ pure module subroutine plastic_disloUCLA_LpAndItsTangent(Lp,dLp_dMp, & end associate -end subroutine plastic_disloUCLA_LpAndItsTangent +end subroutine plastic_disloTungsten_LpAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief Calculate the rate of change of microstructure. !-------------------------------------------------------------------------------------------------- -module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of) +module subroutine plastic_disloTungsten_dotState(Mp,T,instance,of) real(pReal), dimension(3,3), intent(in) :: & Mp !< Mandel stress @@ -338,7 +354,7 @@ module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of) dot_rho_dip_formation = merge(2.0_pReal*dip_distance* stt%rho_mob(:,of)*abs(dot%gamma_sl(:,of))/prm%b_sl, & ! ToDo: ignore region of spontaneous annihilation 0.0_pReal, & prm%dipoleformation) - v_cl = (3.0_pReal*prm%mu*VacancyDiffusion*prm%atomicVolume/(2.0_pReal*pi*kB*T)) & + v_cl = (3.0_pReal*prm%mu*VacancyDiffusion*prm%f_at/(2.0_pReal*pi*kB*T)) & * (1.0_pReal/(dip_distance+prm%D_a)) dot_rho_dip_climb = (4.0_pReal*v_cl*stt%rho_dip(:,of))/(dip_distance-prm%D_a) ! ToDo: Discuss with Franz: Stress dependency? end where @@ -352,13 +368,13 @@ module subroutine plastic_disloUCLA_dotState(Mp,T,instance,of) end associate -end subroutine plastic_disloUCLA_dotState +end subroutine plastic_disloTungsten_dotState !-------------------------------------------------------------------------------------------------- !> @brief Calculate derived quantities from state. !-------------------------------------------------------------------------------------------------- -module subroutine plastic_disloUCLA_dependentState(instance,of) +module subroutine plastic_disloTungsten_dependentState(instance,of) integer, intent(in) :: & instance, & @@ -377,13 +393,13 @@ module subroutine plastic_disloUCLA_dependentState(instance,of) end associate -end subroutine plastic_disloUCLA_dependentState +end subroutine plastic_disloTungsten_dependentState !-------------------------------------------------------------------------------------------------- !> @brief Write results to HDF5 output file. !-------------------------------------------------------------------------------------------------- -module subroutine plastic_disloUCLA_results(instance,group) +module subroutine plastic_disloTungsten_results(instance,group) integer, intent(in) :: instance character(len=*), intent(in) :: group @@ -393,26 +409,26 @@ module subroutine plastic_disloUCLA_results(instance,group) associate(prm => param(instance), stt => state(instance), dst => dependentState(instance)) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case('edge_density') ! ToDo: should be rho_mob - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_mob,'rho_mob',& + case('rho_mob') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_mob,trim(prm%output(o)), & 'mobile dislocation density','1/m²') - case('dipole_density') ! ToDo: should be rho_dip - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip,'rho_dip',& + case('rho_dip') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip,trim(prm%output(o)), & 'dislocation dipole density''1/m²') - case('shear_rate_slip') ! should be gamma - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma_sl,'dot_gamma_sl',& ! this is not dot!! + case('gamma_sl') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma_sl,trim(prm%output(o)), & 'plastic shear','1') - case('mfp_slip') !ToDo: should be Lambda - if(prm%sum_N_sl>0) call results_writeDataset(group,dst%Lambda_sl,'Lambda_sl',& + case('Lambda_sl') + if(prm%sum_N_sl>0) call results_writeDataset(group,dst%Lambda_sl,trim(prm%output(o)), & 'mean free path for slip','m') - case('threshold_stress_slip') !ToDo: should be tau_pass - if(prm%sum_N_sl>0) call results_writeDataset(group,dst%threshold_stress,'tau_pass',& + case('tau_pass') + if(prm%sum_N_sl>0) call results_writeDataset(group,dst%threshold_stress,trim(prm%output(o)), & 'threshold stress for slip','Pa') end select enddo outputsLoop end associate -end subroutine plastic_disloUCLA_results +end subroutine plastic_disloTungsten_results !-------------------------------------------------------------------------------------------------- @@ -461,12 +477,12 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(tau_pos_out)) tau_pos_out = tau_pos if (present(tau_neg_out)) tau_neg_out = tau_neg - associate(BoltzmannRatio => prm%delta_F/(kB*T), & - dot_gamma_0 => stt%rho_mob(:,of)*prm%b_sl*prm%v0, & + associate(BoltzmannRatio => prm%Q_s/(kB*T), & + dot_gamma_0 => stt%rho_mob(:,of)*prm%b_sl*prm%v_0, & effectiveLength => dst%Lambda_sl(:,of) - prm%w) significantPositiveTau: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check) - StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_0 + StressRatio = (abs(tau_pos)-dst%threshold_stress(:,of))/prm%tau_Peierls StressRatio_p = StressRatio** prm%p StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal) needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q) @@ -474,7 +490,7 @@ pure subroutine kinetics(Mp,T,instance,of, & t_n = prm%b_sl/(needsGoodName*prm%omega*effectiveLength) t_k = effectiveLength * prm%B /(2.0_pReal*prm%b_sl*tau_pos) - vel = prm%kink_height/(t_n + t_k) + vel = prm%h/(t_n + t_k) dot_gamma_pos = dot_gamma_0 * sign(vel,tau_pos) * 0.5_pReal else where significantPositiveTau @@ -484,10 +500,10 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(ddot_gamma_dtau_pos)) then significantPositiveTau2: where(abs(tau_pos)-dst%threshold_stress(:,of) > tol_math_check) dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) & - * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_0 + * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_Peierls dtk = -1.0_pReal * t_k / tau_pos - dvel = -1.0_pReal * prm%kink_height * (dtk + dtn) / (t_n + t_k)**2.0_pReal + dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal ddot_gamma_dtau_pos = dot_gamma_0 * dvel* 0.5_pReal else where significantPositiveTau2 @@ -496,7 +512,7 @@ pure subroutine kinetics(Mp,T,instance,of, & endif significantNegativeTau: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check) - StressRatio = (abs(tau_neg)-dst%threshold_stress(:,of))/prm%tau_0 + StressRatio = (abs(tau_neg)-dst%threshold_stress(:,of))/prm%tau_Peierls StressRatio_p = StressRatio** prm%p StressRatio_pminus1 = StressRatio**(prm%p-1.0_pReal) needsGoodName = exp(-BoltzmannRatio*(1-StressRatio_p) ** prm%q) @@ -504,7 +520,7 @@ pure subroutine kinetics(Mp,T,instance,of, & t_n = prm%b_sl/(needsGoodName*prm%omega*effectiveLength) t_k = effectiveLength * prm%B /(2.0_pReal*prm%b_sl*tau_pos) - vel = prm%kink_height/(t_n + t_k) + vel = prm%h/(t_n + t_k) dot_gamma_neg = dot_gamma_0 * sign(vel,tau_neg) * 0.5_pReal else where significantNegativeTau @@ -514,10 +530,10 @@ pure subroutine kinetics(Mp,T,instance,of, & if (present(ddot_gamma_dtau_neg)) then significantNegativeTau2: where(abs(tau_neg)-dst%threshold_stress(:,of) > tol_math_check) dtn = -1.0_pReal * t_n * BoltzmannRatio * prm%p * prm%q * (1.0_pReal-StressRatio_p)**(prm%q - 1.0_pReal) & - * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_0 + * (StressRatio)**(prm%p - 1.0_pReal) / prm%tau_Peierls dtk = -1.0_pReal * t_k / tau_neg - dvel = -1.0_pReal * prm%kink_height * (dtk + dtn) / (t_n + t_k)**2.0_pReal + dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal ddot_gamma_dtau_neg = dot_gamma_0 * dvel * 0.5_pReal else where significantNegativeTau2 @@ -530,4 +546,4 @@ pure subroutine kinetics(Mp,T,instance,of, & end subroutine kinetics -end submodule plastic_disloUCLA +end submodule plastic_disloTungsten diff --git a/src/constitutive_plastic_dislotwin.f90 b/src/constitutive_plastic_dislotwin.f90 index 7c7d24ab8..30527e301 100644 --- a/src/constitutive_plastic_dislotwin.f90 +++ b/src/constitutive_plastic_dislotwin.f90 @@ -7,7 +7,7 @@ !> @brief material subroutine incoprorating dislocation and twinning physics !> @details to be done !-------------------------------------------------------------------------------------------------- -submodule(constitutive) plastic_dislotwin +submodule(constitutive:constitutive_plastic) plastic_dislotwin real(pReal), parameter :: & kB = 1.38e-23_pReal !< Boltzmann constant in J/Kelvin @@ -16,38 +16,38 @@ submodule(constitutive) plastic_dislotwin real(pReal) :: & mu = 1.0_pReal, & !< equivalent shear modulus nu = 1.0_pReal, & !< equivalent shear Poisson's ratio - D0 = 1.0_pReal, & !< prefactor for self-diffusion coefficient - Qsd = 1.0_pReal, & !< activation energy for dislocation climb + D_0 = 1.0_pReal, & !< prefactor for self-diffusion coefficient + Q_cl = 1.0_pReal, & !< activation energy for dislocation climb omega = 1.0_pReal, & !< frequency factor for dislocation climb D = 1.0_pReal, & !< grain size p_sb = 1.0_pReal, & !< p-exponent in shear band velocity q_sb = 1.0_pReal, & !< q-exponent in shear band velocity - CEdgeDipMinDistance = 1.0_pReal, & !< - i_tw = 1.0_pReal, & !< + D_a = 1.0_pReal, & !< adjustment parameter to calculate minimum dipole distance + i_tw = 1.0_pReal, & !< adjustment parameter to calculate MFP for twinning tau_0 = 1.0_pReal, & !< strength due to elements in solid solution L_tw = 1.0_pReal, & !< Length of twin nuclei in Burgers vectors L_tr = 1.0_pReal, & !< Length of trans nuclei in Burgers vectors - xc_twin = 1.0_pReal, & !< critical distance for formation of twin nucleus - xc_trans = 1.0_pReal, & !< critical distance for formation of trans nucleus + x_c_tw = 1.0_pReal, & !< critical distance for formation of twin nucleus + x_c_tr = 1.0_pReal, & !< critical distance for formation of trans nucleus V_cs = 1.0_pReal, & !< cross slip volume - sbResistance = 1.0_pReal, & !< value for shearband resistance - sbVelocity = 1.0_pReal, & !< value for shearband velocity_0 + xi_sb = 1.0_pReal, & !< value for shearband resistance + v_sb = 1.0_pReal, & !< value for shearband velocity_0 E_sb = 1.0_pReal, & !< activation energy for shear bands - SFE_0K = 1.0_pReal, & !< stacking fault energy at zero K - dSFE_dT = 1.0_pReal, & !< temperature dependence of stacking fault energy - gamma_fcc_hex = 1.0_pReal, & !< Free energy difference between austensite and martensite - i_tr = 1.0_pReal, & !< + Gamma_sf_0K = 1.0_pReal, & !< stacking fault energy at zero K + dGamma_sf_dT = 1.0_pReal, & !< temperature dependence of stacking fault energy + delta_G = 1.0_pReal, & !< Free energy difference between austensite and martensite + i_tr = 1.0_pReal, & !< adjustment parameter to calculate MFP for transformation h = 1.0_pReal !< Stack height of hex nucleus real(pReal), allocatable, dimension(:) :: & - b_sl, & !< absolute length of burgers vector [m] for each slip system - b_tw, & !< absolute length of burgers vector [m] for each twin system - b_tr, & !< absolute length of burgers vector [m] for each transformation system - Delta_F,& !< activation energy for glide [J] for each slip system - v0, & !< dislocation velocity prefactor [m/s] for each slip system + b_sl, & !< absolute length of Burgers vector [m] for each slip system + b_tw, & !< absolute length of Burgers vector [m] for each twin system + b_tr, & !< absolute length of Burgers vector [m] for each transformation system + Q_s,& !< activation energy for glide [J] for each slip system + v_0, & !< dislocation velocity prefactor [m/s] for each slip system dot_N_0_tw, & !< twin nucleation rate [1/m³s] for each twin system dot_N_0_tr, & !< trans nucleation rate [1/m³s] for each trans system t_tw, & !< twin thickness [m] for each twin system - CLambdaSlip, & !< Adj. parameter for distance between 2 forest dislocations for each slip system + i_sl, & !< Adj. parameter for distance between 2 forest dislocations for each slip system t_tr, & !< martensite lamellar thickness [m] for each trans system and instance p, & !< p-exponent in glide velocity q, & !< q-exponent in glide velocity @@ -56,11 +56,11 @@ submodule(constitutive) plastic_dislotwin gamma_char, & !< characteristic shear for twins B !< drag coefficient real(pReal), allocatable, dimension(:,:) :: & - h_sl_sl, & !< - h_sl_tw, & !< - h_tw_tw, & !< - h_sl_tr, & !< - h_tr_tr, & !< + h_sl_sl, & !< components of slip-slip interaction matrix + h_sl_tw, & !< components of slip-twin interaction matrix + h_tw_tw, & !< components of twin-twin interaction matrix + h_sl_tr, & !< components of slip-trans interaction matrix + h_tr_tr, & !< components of trans-trans interaction matrix n0_sl, & !< slip system normal forestProjection, & C66 @@ -98,9 +98,9 @@ submodule(constitutive) plastic_dislotwin Lambda_sl, & !< mean free path between 2 obstacles seen by a moving dislocation Lambda_tw, & !< mean free path between 2 obstacles seen by a growing twin Lambda_tr, & !< mean free path between 2 obstacles seen by a growing martensite - tau_pass, & - tau_hat_tw, & - tau_hat_tr, & + tau_pass, & !< threshold stress for slip + tau_hat_tw, & !< threshold stress for twinning + tau_hat_tr, & !< threshold stress for transformation V_tw, & !< volume of a new twin V_tr, & !< volume of a new martensite disc tau_r_tw, & !< stress to bring partials close together (twin) @@ -122,12 +122,13 @@ contains !> @brief Perform module initialization. !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -module subroutine plastic_dislotwin_init +module function plastic_dislotwin_init() result(myPlasticity) + logical, dimension(:), allocatable :: myPlasticity integer :: & - Ninstance, & + Ninstances, & p, i, & - NipcMyPhase, & + Nconstituents, & sizeState, sizeDotState, & startIndex, endIndex integer, dimension(:), allocatable :: & @@ -137,37 +138,50 @@ module subroutine plastic_dislotwin_init rho_dip_0 !< initial dipole dislocation density per slip system character(len=pStringLen) :: & extmsg = '' + class(tNode), pointer :: & + phases, & + phase, & + pl - write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_DISLOTWIN_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- plastic_dislotwin init -+>>>' - write(6,'(/,a)') ' Ma and Roters, Acta Materialia 52(12):3603–3612, 2004' - write(6,'(a)') ' https://doi.org/10.1016/j.actamat.2004.04.012' + myPlasticity = plastic_active('dislotwin') + Ninstances = count(myPlasticity) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return + + print*, 'Ma and Roters, Acta Materialia 52(12):3603–3612, 2004' + print*, 'https://doi.org/10.1016/j.actamat.2004.04.012'//IO_EOL - write(6,'(/,a)') ' Roters et al., Computational Materials Science 39:91–95, 2007' - write(6,'(a)') ' https://doi.org/10.1016/j.commatsci.2006.04.014' + print*, 'Roters et al., Computational Materials Science 39:91–95, 2007' + print*, 'https://doi.org/10.1016/j.commatsci.2006.04.014'//IO_EOL - write(6,'(/,a)') ' Wong et al., Acta Materialia 118:140–151, 2016' - write(6,'(a,/)') ' https://doi.org/10.1016/j.actamat.2016.07.032' + print*, 'Wong et al., Acta Materialia 118:140–151, 2016' + print*, 'https://doi.org/10.1016/j.actamat.2016.07.032' - Ninstance = count(phase_plasticity == PLASTICITY_DISLOTWIN_ID) + allocate(param(Ninstances)) + allocate(state(Ninstances)) + allocate(dotState(Ninstances)) + allocate(dependentState(Ninstances)) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + phases => config_material%get('phase') + i = 0 + do p = 1, phases%length + phase => phases%get(p) - allocate(param(Ninstance)) - allocate(state(Ninstance)) - allocate(dotState(Ninstance)) - allocate(dependentState(Ninstance)) + if(.not. myPlasticity(p)) cycle + i = i + 1 + associate(prm => param(i), & + dot => dotState(i), & + stt => state(i), & + dst => dependentState(i)) + pl => phase%get('plasticity') - do p = 1, size(phase_plasticity) - if (phase_plasticity(p) /= PLASTICITY_DISLOTWIN_ID) cycle - associate(prm => param(phase_plasticityInstance(p)), & - dot => dotState(phase_plasticityInstance(p)), & - stt => state(phase_plasticityInstance(p)), & - dst => dependentState(phase_plasticityInstance(p)), & - config => config_phase(p)) - - prm%output = config%getStrings('(output)', defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(pl) +#else + prm%output = pl%get_asStrings('output',defaultVal=emptyStringArray) +#endif ! This data is read in already in lattice prm%mu = lattice_mu(p) @@ -176,107 +190,107 @@ module subroutine plastic_dislotwin_init !-------------------------------------------------------------------------------------------------- ! slip related parameters - N_sl = config%getInts('nslip',defaultVal=emptyIntArray) + N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) prm%sum_N_sl = sum(abs(N_sl)) slipActive: if (prm%sum_N_sl > 0) then - prm%P_sl = lattice_SchmidMatrix_slip(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl,config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure')) - prm%forestProjection = lattice_forestProjection_edge(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%P_sl = lattice_SchmidMatrix_slip(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl,pl%get_asFloats('h_sl_sl'), & + phase%get_asString('lattice')) + prm%forestProjection = lattice_forestProjection_edge(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) prm%forestProjection = transpose(prm%forestProjection) - prm%n0_sl = lattice_slip_normal(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%n0_sl = lattice_slip_normal(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) prm%fccTwinTransNucleation = merge(.true., .false., lattice_structure(p) == lattice_FCC_ID) & .and. (N_sl(1) == 12) if(prm%fccTwinTransNucleation) prm%fcc_twinNucleationSlipPair = lattice_FCC_TWINNUCLEATIONSLIPPAIR - rho_mob_0 = config%getFloats('rhoedge0', requiredSize=size(N_sl)) - rho_dip_0 = config%getFloats('rhoedgedip0',requiredSize=size(N_sl)) - prm%v0 = config%getFloats('v0', requiredSize=size(N_sl)) - prm%b_sl = config%getFloats('slipburgers',requiredSize=size(N_sl)) - prm%Delta_F = config%getFloats('qedge', requiredSize=size(N_sl)) - prm%CLambdaSlip = config%getFloats('clambdaslip',requiredSize=size(N_sl)) - prm%p = config%getFloats('p_slip', requiredSize=size(N_sl)) - prm%q = config%getFloats('q_slip', requiredSize=size(N_sl)) - prm%B = config%getFloats('b', requiredSize=size(N_sl), & + rho_mob_0 = pl%get_asFloats('rho_mob_0', requiredSize=size(N_sl)) + rho_dip_0 = pl%get_asFloats('rho_dip_0', requiredSize=size(N_sl)) + prm%v_0 = pl%get_asFloats('v_0', requiredSize=size(N_sl)) + prm%b_sl = pl%get_asFloats('b_sl', requiredSize=size(N_sl)) + prm%Q_s = pl%get_asFloats('Q_s', requiredSize=size(N_sl)) + prm%i_sl = pl%get_asFloats('i_sl', requiredSize=size(N_sl)) + prm%p = pl%get_asFloats('p_sl', requiredSize=size(N_sl)) + prm%q = pl%get_asFloats('q_sl', requiredSize=size(N_sl)) + prm%B = pl%get_asFloats('B', requiredSize=size(N_sl), & defaultVal=[(0.0_pReal, i=1,size(N_sl))]) - prm%tau_0 = config%getFloat('solidsolutionstrength') - prm%CEdgeDipMinDistance = config%getFloat('cedgedipmindistance') - prm%D0 = config%getFloat('d0') - prm%Qsd = config%getFloat('qsd') - prm%ExtendedDislocations = config%keyExists('/extend_dislocations/') + prm%tau_0 = pl%get_asFloat('tau_0') + prm%D_a = pl%get_asFloat('D_a') + prm%D_0 = pl%get_asFloat('D_0') + prm%Q_cl = pl%get_asFloat('Q_cl') + prm%ExtendedDislocations = pl%get_asBool('extend_dislocations',defaultVal = .false.) if (prm%ExtendedDislocations) then - prm%SFE_0K = config%getFloat('sfe_0k') - prm%dSFE_dT = config%getFloat('dsfe_dt') + prm%Gamma_sf_0K = pl%get_asFloat('Gamma_sf_0K') + prm%dGamma_sf_dT = pl%get_asFloat('dGamma_sf_dT') endif - prm%dipoleformation = .not. config%keyExists('/nodipoleformation/') + prm%dipoleformation = .not. pl%get_asBool('no_dipole_formation',defaultVal = .false.) ! multiplication factor according to crystal structure (nearest neighbors bcc vs fcc/hex) ! details: Argon & Moffat, Acta Metallurgica, Vol. 29, pg 293 to 299, 1981 - prm%omega = config%getFloat('omega', defaultVal = 1000.0_pReal) & + prm%omega = pl%get_asFloat('omega', defaultVal = 1000.0_pReal) & * merge(12.0_pReal,8.0_pReal,any(lattice_structure(p) == [lattice_FCC_ID,lattice_HEX_ID])) ! expand: family => system rho_mob_0 = math_expand(rho_mob_0, N_sl) rho_dip_0 = math_expand(rho_dip_0, N_sl) - prm%v0 = math_expand(prm%v0, N_sl) + prm%v_0 = math_expand(prm%v_0, N_sl) prm%b_sl = math_expand(prm%b_sl, N_sl) - prm%Delta_F = math_expand(prm%Delta_F, N_sl) - prm%CLambdaSlip = math_expand(prm%CLambdaSlip, N_sl) + prm%Q_s = math_expand(prm%Q_s, N_sl) + prm%i_sl = math_expand(prm%i_sl, N_sl) prm%p = math_expand(prm%p, N_sl) prm%q = math_expand(prm%q, N_sl) prm%B = math_expand(prm%B, N_sl) ! sanity checks - if ( prm%D0 <= 0.0_pReal) extmsg = trim(extmsg)//' D0' - if ( prm%Qsd <= 0.0_pReal) extmsg = trim(extmsg)//' Qsd' - if (any(rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_mob_0' - if (any(rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_dip_0' - if (any(prm%v0 < 0.0_pReal)) extmsg = trim(extmsg)//' v0' - if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' - if (any(prm%Delta_F <= 0.0_pReal)) extmsg = trim(extmsg)//' Delta_F' - if (any(prm%CLambdaSlip <= 0.0_pReal)) extmsg = trim(extmsg)//' CLambdaSlip' - if (any(prm%B < 0.0_pReal)) extmsg = trim(extmsg)//' B' - if (any(prm%p<=0.0_pReal .or. prm%p>1.0_pReal)) extmsg = trim(extmsg)//' p' - if (any(prm%q< 1.0_pReal .or. prm%q>2.0_pReal)) extmsg = trim(extmsg)//' q' + if ( prm%D_0 <= 0.0_pReal) extmsg = trim(extmsg)//' D_0' + if ( prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' + if (any(rho_mob_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_mob_0' + if (any(rho_dip_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_dip_0' + if (any(prm%v_0 < 0.0_pReal)) extmsg = trim(extmsg)//' v_0' + if (any(prm%b_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' + if (any(prm%Q_s <= 0.0_pReal)) extmsg = trim(extmsg)//' Q_s' + if (any(prm%i_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' + if (any(prm%B < 0.0_pReal)) extmsg = trim(extmsg)//' B' + if (any(prm%p<=0.0_pReal .or. prm%p>1.0_pReal)) extmsg = trim(extmsg)//' p_sl' + if (any(prm%q< 1.0_pReal .or. prm%q>2.0_pReal)) extmsg = trim(extmsg)//' q_sl' else slipActive rho_mob_0 = emptyRealArray; rho_dip_0 = emptyRealArray - allocate(prm%b_sl,prm%Delta_F,prm%v0,prm%CLambdaSlip,prm%p,prm%q,prm%B,source=emptyRealArray) + allocate(prm%b_sl,prm%Q_s,prm%v_0,prm%i_sl,prm%p,prm%q,prm%B,source=emptyRealArray) allocate(prm%forestProjection(0,0),prm%h_sl_sl(0,0)) endif slipActive !-------------------------------------------------------------------------------------------------- ! twin related parameters - N_tw = config%getInts('ntwin', defaultVal=emptyIntArray) + N_tw = pl%get_asInts('N_tw', defaultVal=emptyIntArray) prm%sum_N_tw = sum(abs(N_tw)) twinActive: if (prm%sum_N_tw > 0) then - prm%P_tw = lattice_SchmidMatrix_twin(N_tw,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) prm%h_tw_tw = lattice_interaction_TwinByTwin(N_tw,& - config%getFloats('interaction_twintwin'), & - config%getString('lattice_structure')) + pl%get_asFloats('h_tw_tw'), & + phase%get_asString('lattice')) - prm%b_tw = config%getFloats('twinburgers', requiredSize=size(N_tw)) - prm%t_tw = config%getFloats('twinsize', requiredSize=size(N_tw)) - prm%r = config%getFloats('r_twin', requiredSize=size(N_tw)) + prm%b_tw = pl%get_asFloats('b_tw', requiredSize=size(N_tw)) + prm%t_tw = pl%get_asFloats('t_tw', requiredSize=size(N_tw)) + prm%r = pl%get_asFloats('p_tw', requiredSize=size(N_tw)) - prm%xc_twin = config%getFloat('xc_twin') - prm%L_tw = config%getFloat('l0_twin') - prm%i_tw = config%getFloat('cmfptwin') + prm%x_c_tw = pl%get_asFloat('x_c_tw') + prm%L_tw = pl%get_asFloat('L_tw') + prm%i_tw = pl%get_asFloat('i_tw') - prm%gamma_char= lattice_characteristicShear_Twin(N_tw,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%gamma_char= lattice_characteristicShear_Twin(N_tw,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - prm%C66_tw = lattice_C66_twin(N_tw,prm%C66,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%C66_tw = lattice_C66_twin(N_tw,prm%C66,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) if (.not. prm%fccTwinTransNucleation) then - prm%dot_N_0_tw = config%getFloats('ndot0_twin') + prm%dot_N_0_tw = pl%get_asFloats('dot_N_0_tw') prm%dot_N_0_tw = math_expand(prm%dot_N_0_tw,N_tw) endif @@ -286,12 +300,12 @@ module subroutine plastic_dislotwin_init prm%r = math_expand(prm%r,N_tw) ! sanity checks - if ( prm%xc_twin < 0.0_pReal) extmsg = trim(extmsg)//' xc_twin' + if ( prm%x_c_tw < 0.0_pReal) extmsg = trim(extmsg)//' x_c_twin' if ( prm%L_tw < 0.0_pReal) extmsg = trim(extmsg)//' L_tw' if ( prm%i_tw < 0.0_pReal) extmsg = trim(extmsg)//' i_tw' if (any(prm%b_tw < 0.0_pReal)) extmsg = trim(extmsg)//' b_tw' if (any(prm%t_tw < 0.0_pReal)) extmsg = trim(extmsg)//' t_tw' - if (any(prm%r < 0.0_pReal)) extmsg = trim(extmsg)//' r' + if (any(prm%r < 0.0_pReal)) extmsg = trim(extmsg)//' p_tw' if (.not. prm%fccTwinTransNucleation) then if (any(prm%dot_N_0_tw < 0.0_pReal)) extmsg = trim(extmsg)//' dot_N_0_tw' endif @@ -302,46 +316,46 @@ module subroutine plastic_dislotwin_init !-------------------------------------------------------------------------------------------------- ! transformation related parameters - N_tr = config%getInts('ntrans', defaultVal=emptyIntArray) + N_tr = pl%get_asInts('N_tr', defaultVal=emptyIntArray) prm%sum_N_tr = sum(abs(N_tr)) transActive: if (prm%sum_N_tr > 0) then - prm%b_tr = config%getFloats('transburgers') + prm%b_tr = pl%get_asFloats('b_tr') prm%b_tr = math_expand(prm%b_tr,N_tr) - prm%h = config%getFloat('transstackheight', defaultVal=0.0_pReal) ! ToDo: How to handle that??? - prm%i_tr = config%getFloat('cmfptrans', defaultVal=0.0_pReal) ! ToDo: How to handle that??? - prm%gamma_fcc_hex = config%getFloat('deltag') - prm%xc_trans = config%getFloat('xc_trans', defaultVal=0.0_pReal) ! ToDo: How to handle that??? - prm%L_tr = config%getFloat('l0_trans') + prm%h = pl%get_asFloat('h', defaultVal=0.0_pReal) ! ToDo: How to handle that??? + prm%i_tr = pl%get_asFloat('i_tr', defaultVal=0.0_pReal) ! ToDo: How to handle that??? + prm%delta_G = pl%get_asFloat('delta_G') + prm%x_c_tr = pl%get_asFloat('x_c_tr', defaultVal=0.0_pReal) ! ToDo: How to handle that??? + prm%L_tr = pl%get_asFloat('L_tr') - prm%h_tr_tr = lattice_interaction_TransByTrans(N_tr,config%getFloats('interaction_transtrans'), & - config%getString('lattice_structure')) + prm%h_tr_tr = lattice_interaction_TransByTrans(N_tr,pl%get_asFloats('h_tr_tr'), & + phase%get_asString('lattice')) - prm%C66_tr = lattice_C66_trans(N_tr,prm%C66,config%getString('trans_lattice_structure'), & + prm%C66_tr = lattice_C66_trans(N_tr,prm%C66,pl%get_asString('trans_lattice_structure'), & 0.0_pReal, & - config%getFloat('a_bcc', defaultVal=0.0_pReal), & - config%getFloat('a_fcc', defaultVal=0.0_pReal)) + pl%get_asFloat('a_bcc', defaultVal=0.0_pReal), & + pl%get_asFloat('a_fcc', defaultVal=0.0_pReal)) - prm%P_tr = lattice_SchmidMatrix_trans(N_tr,config%getString('trans_lattice_structure'), & + prm%P_tr = lattice_SchmidMatrix_trans(N_tr,pl%get_asString('trans_lattice_structure'), & 0.0_pReal, & - config%getFloat('a_bcc', defaultVal=0.0_pReal), & - config%getFloat('a_fcc', defaultVal=0.0_pReal)) + pl%get_asFloat('a_bcc', defaultVal=0.0_pReal), & + pl%get_asFloat('a_fcc', defaultVal=0.0_pReal)) if (lattice_structure(p) /= lattice_FCC_ID) then - prm%dot_N_0_tr = config%getFloats('ndot0_trans') + prm%dot_N_0_tr = pl%get_asFloats('dot_N_0_tr') prm%dot_N_0_tr = math_expand(prm%dot_N_0_tr,N_tr) endif - prm%t_tr = config%getFloats('lamellarsize') + prm%t_tr = pl%get_asFloats('t_tr') prm%t_tr = math_expand(prm%t_tr,N_tr) - prm%s = config%getFloats('s_trans',defaultVal=[0.0_pReal]) + prm%s = pl%get_asFloats('p_tr',defaultVal=[0.0_pReal]) prm%s = math_expand(prm%s,N_tr) ! sanity checks - if ( prm%xc_trans < 0.0_pReal) extmsg = trim(extmsg)//' xc_trans' + if ( prm%x_c_tr < 0.0_pReal) extmsg = trim(extmsg)//' x_c_trans' if ( prm%L_tr < 0.0_pReal) extmsg = trim(extmsg)//' L_tr' if ( prm%i_tr < 0.0_pReal) extmsg = trim(extmsg)//' i_tr' if (any(prm%t_tr < 0.0_pReal)) extmsg = trim(extmsg)//' t_tr' - if (any(prm%s < 0.0_pReal)) extmsg = trim(extmsg)//' s' + if (any(prm%s < 0.0_pReal)) extmsg = trim(extmsg)//' p_tr' if (lattice_structure(p) /= lattice_FCC_ID) then if (any(prm%dot_N_0_tr < 0.0_pReal)) extmsg = trim(extmsg)//' dot_N_0_tr' endif @@ -352,71 +366,72 @@ module subroutine plastic_dislotwin_init !-------------------------------------------------------------------------------------------------- ! shearband related parameters - prm%sbVelocity = config%getFloat('shearbandvelocity',defaultVal=0.0_pReal) - if (prm%sbVelocity > 0.0_pReal) then - prm%sbResistance = config%getFloat('shearbandresistance') - prm%E_sb = config%getFloat('qedgepersbsystem') - prm%p_sb = config%getFloat('p_shearband') - prm%q_sb = config%getFloat('q_shearband') + prm%v_sb = pl%get_asFloat('v_sb',defaultVal=0.0_pReal) + if (prm%v_sb > 0.0_pReal) then + prm%xi_sb = pl%get_asFloat('xi_sb') + prm%E_sb = pl%get_asFloat('Q_sb') + prm%p_sb = pl%get_asFloat('p_sb') + prm%q_sb = pl%get_asFloat('q_sb') ! sanity checks - if (prm%sbResistance < 0.0_pReal) extmsg = trim(extmsg)//' shearbandresistance' - if (prm%E_sb < 0.0_pReal) extmsg = trim(extmsg)//' qedgepersbsystem' - if (prm%p_sb <= 0.0_pReal) extmsg = trim(extmsg)//' p_shearband' - if (prm%q_sb <= 0.0_pReal) extmsg = trim(extmsg)//' q_shearband' + if (prm%xi_sb < 0.0_pReal) extmsg = trim(extmsg)//' xi_sb' + if (prm%E_sb < 0.0_pReal) extmsg = trim(extmsg)//' Q_sb' + if (prm%p_sb <= 0.0_pReal) extmsg = trim(extmsg)//' p_sb' + if (prm%q_sb <= 0.0_pReal) extmsg = trim(extmsg)//' q_sb' endif !-------------------------------------------------------------------------------------------------- ! parameters required for several mechanisms and their interactions if(prm%sum_N_sl + prm%sum_N_tw + prm%sum_N_tw > 0) & - prm%D = config%getFloat('grainsize') + prm%D = pl%get_asFloat('D') twinOrSlipActive: if (prm%sum_N_tw + prm%sum_N_tr > 0) then - prm%SFE_0K = config%getFloat('sfe_0k') - prm%dSFE_dT = config%getFloat('dsfe_dt') - prm%V_cs = config%getFloat('vcrossslip') + prm%Gamma_sf_0K = pl%get_asFloat('Gamma_sf_0K') + prm%dGamma_sf_dT = pl%get_asFloat('dGamma_sf_dT') + prm%V_cs = pl%get_asFloat('V_cs') endif twinOrSlipActive slipAndTwinActive: if (prm%sum_N_sl * prm%sum_N_tw > 0) then prm%h_sl_tw = lattice_interaction_SlipByTwin(N_sl,N_tw,& - config%getFloats('interaction_sliptwin'), & - config%getString('lattice_structure')) + pl%get_asFloats('h_sl_tw'), & + phase%get_asString('lattice')) if (prm%fccTwinTransNucleation .and. size(N_tw) /= 1) extmsg = trim(extmsg)//' interaction_sliptwin' endif slipAndTwinActive slipAndTransActive: if (prm%sum_N_sl * prm%sum_N_tr > 0) then prm%h_sl_tr = lattice_interaction_SlipByTrans(N_sl,N_tr,& - config%getFloats('interaction_sliptrans'), & - config%getString('lattice_structure')) + pl%get_asFloats('h_sl_tr'), & + phase%get_asString('lattice')) if (prm%fccTwinTransNucleation .and. size(N_tr) /= 1) extmsg = trim(extmsg)//' interaction_sliptrans' endif slipAndTransActive !-------------------------------------------------------------------------------------------------- ! allocate state arrays - NipcMyPhase = count(material_phaseAt == p) * discretization_nIP + Nconstituents = count(material_phaseAt == p) * discretization_nIPs sizeDotState = size(['rho_mob ','rho_dip ','gamma_sl']) * prm%sum_N_sl & + size(['f_tw']) * prm%sum_N_tw & + size(['f_tr']) * prm%sum_N_tr sizeState = sizeDotState - call material_allocateState(plasticState(p),NipcMyPhase,sizeState,sizeDotState,0) + + call constitutive_allocateState(plasticState(p),Nconstituents,sizeState,sizeDotState,0) !-------------------------------------------------------------------------------------------------- ! locally defined state aliases and initialization of state0 and atol startIndex = 1 endIndex = prm%sum_N_sl stt%rho_mob=>plasticState(p)%state(startIndex:endIndex,:) - stt%rho_mob= spread(rho_mob_0,2,NipcMyPhase) + stt%rho_mob= spread(rho_mob_0,2,Nconstituents) dot%rho_mob=>plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_rho',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_rho',defaultVal=1.0_pReal) if (any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_rho' startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_sl stt%rho_dip=>plasticState(p)%state(startIndex:endIndex,:) - stt%rho_dip= spread(rho_dip_0,2,NipcMyPhase) + stt%rho_dip= spread(rho_dip_0,2,Nconstituents) dot%rho_dip=>plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_rho',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_rho',defaultVal=1.0_pReal) startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_sl @@ -430,28 +445,28 @@ module subroutine plastic_dislotwin_init endIndex = endIndex + prm%sum_N_tw stt%f_tw=>plasticState(p)%state(startIndex:endIndex,:) dot%f_tw=>plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('f_twin',defaultVal=1.0e-7_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('f_twin',defaultVal=1.0e-7_pReal) if (any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' f_twin' startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_tr stt%f_tr=>plasticState(p)%state(startIndex:endIndex,:) dot%f_tr=>plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('f_trans',defaultVal=1.0e-6_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('f_trans',defaultVal=1.0e-6_pReal) if (any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' f_trans' - allocate(dst%Lambda_sl (prm%sum_N_sl,NipcMyPhase),source=0.0_pReal) - allocate(dst%tau_pass (prm%sum_N_sl,NipcMyPhase),source=0.0_pReal) + allocate(dst%Lambda_sl (prm%sum_N_sl,Nconstituents),source=0.0_pReal) + allocate(dst%tau_pass (prm%sum_N_sl,Nconstituents),source=0.0_pReal) - allocate(dst%Lambda_tw (prm%sum_N_tw,NipcMyPhase),source=0.0_pReal) - allocate(dst%tau_hat_tw (prm%sum_N_tw,NipcMyPhase),source=0.0_pReal) - allocate(dst%tau_r_tw (prm%sum_N_tw,NipcMyPhase),source=0.0_pReal) - allocate(dst%V_tw (prm%sum_N_tw,NipcMyPhase),source=0.0_pReal) + allocate(dst%Lambda_tw (prm%sum_N_tw,Nconstituents),source=0.0_pReal) + allocate(dst%tau_hat_tw (prm%sum_N_tw,Nconstituents),source=0.0_pReal) + allocate(dst%tau_r_tw (prm%sum_N_tw,Nconstituents),source=0.0_pReal) + allocate(dst%V_tw (prm%sum_N_tw,Nconstituents),source=0.0_pReal) - allocate(dst%Lambda_tr (prm%sum_N_tr,NipcMyPhase),source=0.0_pReal) - allocate(dst%tau_hat_tr (prm%sum_N_tr,NipcMyPhase),source=0.0_pReal) - allocate(dst%tau_r_tr (prm%sum_N_tr,NipcMyPhase),source=0.0_pReal) - allocate(dst%V_tr (prm%sum_N_tr,NipcMyPhase),source=0.0_pReal) + allocate(dst%Lambda_tr (prm%sum_N_tr,Nconstituents),source=0.0_pReal) + allocate(dst%tau_hat_tr (prm%sum_N_tr,Nconstituents),source=0.0_pReal) + allocate(dst%tau_r_tr (prm%sum_N_tr,Nconstituents),source=0.0_pReal) + allocate(dst%V_tr (prm%sum_N_tr,Nconstituents),source=0.0_pReal) plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally @@ -459,11 +474,11 @@ module subroutine plastic_dislotwin_init !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_DISLOTWIN_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(dislotwin)') enddo -end subroutine plastic_dislotwin_init +end function plastic_dislotwin_init !-------------------------------------------------------------------------------------------------- @@ -587,10 +602,10 @@ module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) Lp = Lp * f_unrotated dLp_dMp = dLp_dMp * f_unrotated - shearBandingContribution: if(dNeq0(prm%sbVelocity)) then + shearBandingContribution: if(dNeq0(prm%v_sb)) then BoltzmannRatio = prm%E_sb/(kB*T) - call math_eigh33(Mp,eigValues,eigVectors) ! is Mp symmetric by design? + call math_eigh33(eigValues,eigVectors,Mp) ! is Mp symmetric by design? do i = 1,6 P_sb = 0.5_pReal * math_outer(matmul(eigVectors,sb_sComposition(1:3,i)),& @@ -598,10 +613,10 @@ module subroutine plastic_dislotwin_LpAndItsTangent(Lp,dLp_dMp,Mp,T,instance,of) tau = math_tensordot(Mp,P_sb) significantShearBandStress: if (abs(tau) > tol_math_check) then - StressRatio_p = (abs(tau)/prm%sbResistance)**prm%p_sb - dot_gamma_sb = sign(prm%sbVelocity*exp(-BoltzmannRatio*(1-StressRatio_p)**prm%q_sb), tau) - ddot_gamma_dtau = abs(dot_gamma_sb)*BoltzmannRatio* prm%p_sb*prm%q_sb/ prm%sbResistance & - * (abs(tau)/prm%sbResistance)**(prm%p_sb-1.0_pReal) & + StressRatio_p = (abs(tau)/prm%xi_sb)**prm%p_sb + dot_gamma_sb = sign(prm%v_sb*exp(-BoltzmannRatio*(1-StressRatio_p)**prm%q_sb), tau) + ddot_gamma_dtau = abs(dot_gamma_sb)*BoltzmannRatio* prm%p_sb*prm%q_sb/ prm%xi_sb & + * (abs(tau)/prm%xi_sb)**(prm%p_sb-1.0_pReal) & * (1.0_pReal-StressRatio_p)**(prm%q_sb-1.0_pReal) Lp = Lp + dot_gamma_sb * P_sb @@ -639,7 +654,7 @@ module subroutine plastic_dislotwin_dotState(Mp,T,instance,of) Gamma, & !< stacking fault energy tau, & sigma_cl, & !< climb stress - b_d !< ratio of burgers vector to stacking fault width + b_d !< ratio of Burgers vector to stacking fault width real(pReal), dimension(param(instance)%sum_N_sl) :: & dot_rho_dip_formation, & dot_rho_dip_climb, & @@ -660,7 +675,7 @@ module subroutine plastic_dislotwin_dotState(Mp,T,instance,of) call kinetics_slip(Mp,T,instance,of,dot_gamma_sl) dot%gamma_sl(:,of) = abs(dot_gamma_sl) - rho_dip_distance_min = prm%CEdgeDipMinDistance*prm%b_sl + rho_dip_distance_min = prm%D_a*prm%b_sl slipState: do i = 1, prm%sum_N_sl tau = math_tensordot(Mp,prm%P_sl(1:3,1:3,i)) @@ -686,12 +701,12 @@ module subroutine plastic_dislotwin_dotState(Mp,T,instance,of) !@details: Refer: Argon & Moffat, Acta Metallurgica, Vol. 29, pg 293 to 299, 1981 sigma_cl = dot_product(prm%n0_sl(1:3,i),matmul(Mp,prm%n0_sl(1:3,i))) if (prm%ExtendedDislocations) then - Gamma = prm%SFE_0K + prm%dSFE_dT * T + Gamma = prm%Gamma_sf_0K + prm%dGamma_sf_dT * T b_d = 24.0_pReal*PI*(1.0_pReal - prm%nu)/(2.0_pReal + prm%nu)* Gamma/(prm%mu*prm%b_sl(i)) else b_d = 1.0_pReal endif - v_cl = 2.0_pReal*prm%omega*b_d**2.0_pReal*exp(-prm%Qsd/(kB*T)) & + v_cl = 2.0_pReal*prm%omega*b_d**2.0_pReal*exp(-prm%Q_cl/(kB*T)) & * (exp(abs(sigma_cl)*prm%b_sl(i)**3.0_pReal/(kB*T)) - 1.0_pReal) dot_rho_dip_climb(i) = 4.0_pReal*v_cl*stt%rho_dip(i,of) & @@ -753,7 +768,7 @@ module subroutine plastic_dislotwin_dependentState(T,instance,of) sumf_twin = sum(stt%f_tw(1:prm%sum_N_tw,of)) sumf_trans = sum(stt%f_tr(1:prm%sum_N_tr,of)) - Gamma = prm%SFE_0K + prm%dSFE_dT * T + Gamma = prm%Gamma_sf_0K + prm%dGamma_sf_dT * T !* rescaled volume fraction for topology f_over_t_tw = stt%f_tw(1:prm%sum_N_tw,of)/prm%t_tw ! this is per system ... @@ -761,7 +776,7 @@ module subroutine plastic_dislotwin_dependentState(T,instance,of) ! ToDo ...Physically correct, but naming could be adjusted inv_lambda_sl_sl = sqrt(matmul(prm%forestProjection, & - stt%rho_mob(:,of)+stt%rho_dip(:,of)))/prm%CLambdaSlip + stt%rho_mob(:,of)+stt%rho_dip(:,of)))/prm%i_sl if (prm%sum_N_tw > 0 .and. prm%sum_N_sl > 0) & inv_lambda_sl_tw = matmul(prm%h_sl_tw,f_over_t_tw)/(1.0_pReal-sumf_twin) @@ -790,21 +805,21 @@ module subroutine plastic_dislotwin_dependentState(T,instance,of) !* threshold stress for growing twin/martensite if(prm%sum_N_tw == prm%sum_N_sl) & dst%tau_hat_tw(:,of) = Gamma/(3.0_pReal*prm%b_tw) & - + 3.0_pReal*prm%b_tw*prm%mu/(prm%L_tw*prm%b_sl) ! slip burgers here correct? + + 3.0_pReal*prm%b_tw*prm%mu/(prm%L_tw*prm%b_sl) ! slip Burgers here correct? if(prm%sum_N_tr == prm%sum_N_sl) & dst%tau_hat_tr(:,of) = Gamma/(3.0_pReal*prm%b_tr) & - + 3.0_pReal*prm%b_tr*prm%mu/(prm%L_tr*prm%b_sl) & ! slip burgers here correct? - + prm%h*prm%gamma_fcc_hex/ (3.0_pReal*prm%b_tr) + + 3.0_pReal*prm%b_tr*prm%mu/(prm%L_tr*prm%b_sl) & ! slip Burgers here correct? + + prm%h*prm%delta_G/ (3.0_pReal*prm%b_tr) dst%V_tw(:,of) = (PI/4.0_pReal)*prm%t_tw*dst%Lambda_tw(:,of)**2.0_pReal dst%V_tr(:,of) = (PI/4.0_pReal)*prm%t_tr*dst%Lambda_tr(:,of)**2.0_pReal - x0 = prm%mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the burgers vector for slip and is the same for twin and trans - dst%tau_r_tw(:,of) = prm%mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%xc_twin)+cos(pi/3.0_pReal)/x0) + x0 = prm%mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the Burgers vector for slip and is the same for twin and trans + dst%tau_r_tw(:,of) = prm%mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tw)+cos(pi/3.0_pReal)/x0) - x0 = prm%mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the burgers vector for slip - dst%tau_r_tr(:,of) = prm%mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%xc_trans)+cos(pi/3.0_pReal)/x0) + x0 = prm%mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+prm%nu)/(1.0_pReal-prm%nu) ! ToDo: In the paper, this is the Burgers vector for slip + dst%tau_r_tr(:,of) = prm%mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tr)+cos(pi/3.0_pReal)/x0) end associate @@ -826,33 +841,33 @@ module subroutine plastic_dislotwin_results(instance,group) select case(trim(prm%output(o))) case('rho_mob') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_mob,'rho_mob',& + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_mob,trim(prm%output(o)), & 'mobile dislocation density','1/m²') case('rho_dip') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip,'rho_dip',& - 'dislocation dipole density''1/m²') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip,trim(prm%output(o)), & + 'dislocation dipole density','1/m²') case('gamma_sl') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma_sl,'gamma_sl',& + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma_sl,trim(prm%output(o)), & 'plastic shear','1') - case('lambda_sl') - if(prm%sum_N_sl>0) call results_writeDataset(group,dst%Lambda_sl,'Lambda_sl',& + case('Lambda_sl') + if(prm%sum_N_sl>0) call results_writeDataset(group,dst%Lambda_sl,trim(prm%output(o)), & 'mean free path for slip','m') case('tau_pass') - if(prm%sum_N_sl>0) call results_writeDataset(group,dst%tau_pass,'tau_pass',& + if(prm%sum_N_sl>0) call results_writeDataset(group,dst%tau_pass,trim(prm%output(o)), & 'passing stress for slip','Pa') case('f_tw') - if(prm%sum_N_tw>0) call results_writeDataset(group,stt%f_tw,'f_tw',& + if(prm%sum_N_tw>0) call results_writeDataset(group,stt%f_tw,trim(prm%output(o)), & 'twinned volume fraction','m³/m³') - case('lambda_tw') - if(prm%sum_N_tw>0) call results_writeDataset(group,dst%Lambda_tw,'Lambda_tw',& + case('Lambda_tw') + if(prm%sum_N_tw>0) call results_writeDataset(group,dst%Lambda_tw,trim(prm%output(o)), & 'mean free path for twinning','m') case('tau_hat_tw') - if(prm%sum_N_tw>0) call results_writeDataset(group,dst%tau_hat_tw,'tau_hat_tw',& + if(prm%sum_N_tw>0) call results_writeDataset(group,dst%tau_hat_tw,trim(prm%output(o)), & 'threshold stress for twinning','Pa') case('f_tr') - if(prm%sum_N_tr>0) call results_writeDataset(group,stt%f_tr,'f_tr',& + if(prm%sum_N_tr>0) call results_writeDataset(group,stt%f_tr,trim(prm%output(o)), & 'martensite volume fraction','m³/m³') end select @@ -912,8 +927,8 @@ pure subroutine kinetics_slip(Mp,T,instance,of, & significantStress: where(tau_eff > tol_math_check) stressRatio = tau_eff/prm%tau_0 StressRatio_p = stressRatio** prm%p - BoltzmannRatio = prm%Delta_F/(kB*T) - v_wait_inverse = prm%v0**(-1.0_pReal) * exp(BoltzmannRatio*(1.0_pReal-StressRatio_p)** prm%q) + BoltzmannRatio = prm%Q_s/(kB*T) + v_wait_inverse = prm%v_0**(-1.0_pReal) * exp(BoltzmannRatio*(1.0_pReal-StressRatio_p)** prm%q) v_run_inverse = prm%B/(tau_eff*prm%b_sl) dot_gamma_sl = sign(stt%rho_mob(:,of)*prm%b_sl/(v_wait_inverse+v_run_inverse),tau) diff --git a/src/constitutive_plastic_isotropic.f90 b/src/constitutive_plastic_isotropic.f90 index ecf029124..db418663f 100644 --- a/src/constitutive_plastic_isotropic.f90 +++ b/src/constitutive_plastic_isotropic.f90 @@ -7,14 +7,14 @@ !! resolving the stress on the slip systems. Will give the response of phenopowerlaw for an !! untextured polycrystal !-------------------------------------------------------------------------------------------------- -submodule(constitutive) plastic_isotropic +submodule(constitutive:constitutive_plastic) plastic_isotropic type :: tParameters real(pReal) :: & M, & !< Taylor factor dot_gamma_0, & !< reference strain rate n, & !< stress exponent - h0, & + h_0, & h_ln, & xi_inf, & !< maximum critical stress a, & @@ -49,59 +49,76 @@ contains !> @brief Perform module initialization. !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -module subroutine plastic_isotropic_init +module function plastic_isotropic_init() result(myPlasticity) + logical, dimension(:), allocatable :: myPlasticity integer :: & - Ninstance, & + Ninstances, & p, & - NipcMyPhase, & + i, & + Nconstituents, & sizeState, sizeDotState real(pReal) :: & xi_0 !< initial critical stress character(len=pStringLen) :: & extmsg = '' + class(tNode), pointer :: & + phases, & + phase, & + pl - write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_ISOTROPIC_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- plastic_isotropic init -+>>>' - write(6,'(/,a)') ' Maiti and Eisenlohr, Scripta Materialia 145:37–40, 2018' - write(6,'(a)') ' https://doi.org/10.1016/j.scriptamat.2017.09.047' + myPlasticity = plastic_active('isotropic') + Ninstances = count(myPlasticity) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - Ninstance = count(phase_plasticity == PLASTICITY_ISOTROPIC_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + print*, 'Maiti and Eisenlohr, Scripta Materialia 145:37–40, 2018' + print*, 'https://doi.org/10.1016/j.scriptamat.2017.09.047' - allocate(param(Ninstance)) - allocate(state(Ninstance)) - allocate(dotState(Ninstance)) + allocate(param(Ninstances)) + allocate(state(Ninstances)) + allocate(dotState(Ninstances)) - do p = 1, size(phase_plasticity) - if (phase_plasticity(p) /= PLASTICITY_ISOTROPIC_ID) cycle - associate(prm => param(phase_plasticityInstance(p)), & - dot => dotState(phase_plasticityInstance(p)), & - stt => state(phase_plasticityInstance(p)), & - config => config_phase(p)) + phases => config_material%get('phase') + i = 0 + do p = 1, phases%length + phase => phases%get(p) - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) + if(.not. myPlasticity(p)) cycle + i = i + 1 + associate(prm => param(i), & + dot => dotState(i), & + stt => state(i)) + pl => phase%get('plasticity') -#ifdef DEBUG - if (p==material_phaseAt(debug_g,debug_e)) & - prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e) + +#if defined (__GFORTRAN__) + prm%output = output_asStrings(pl) +#else + prm%output = pl%get_asStrings('output',defaultVal=emptyStringArray) #endif - xi_0 = config%getFloat('tau0') - prm%xi_inf = config%getFloat('tausat') - prm%dot_gamma_0 = config%getFloat('gdot0') - prm%n = config%getFloat('n') - prm%h0 = config%getFloat('h0') - prm%M = config%getFloat('m') - prm%h_ln = config%getFloat('h0_slopelnrate', defaultVal=0.0_pReal) - prm%c_1 = config%getFloat('tausat_sinhfita',defaultVal=0.0_pReal) - prm%c_4 = config%getFloat('tausat_sinhfitb',defaultVal=0.0_pReal) - prm%c_3 = config%getFloat('tausat_sinhfitc',defaultVal=0.0_pReal) - prm%c_2 = config%getFloat('tausat_sinhfitd',defaultVal=0.0_pReal) - prm%a = config%getFloat('a') +#ifdef DEBUG + if (p==material_phaseAt(debugConstitutive%grain,debugConstitutive%element)) & + prm%of_debug = material_phasememberAt(debugConstitutive%grain,debugConstitutive%ip,debugConstitutive%element) +#endif - prm%dilatation = config%keyExists('/dilatation/') + xi_0 = pl%get_asFloat('xi_0') + prm%xi_inf = pl%get_asFloat('xi_inf') + prm%dot_gamma_0 = pl%get_asFloat('dot_gamma_0') + prm%n = pl%get_asFloat('n') + prm%h_0 = pl%get_asFloat('h_0') + prm%M = pl%get_asFloat('M') + prm%h_ln = pl%get_asFloat('h_ln', defaultVal=0.0_pReal) + prm%c_1 = pl%get_asFloat('c_1', defaultVal=0.0_pReal) + prm%c_4 = pl%get_asFloat('c_4', defaultVal=0.0_pReal) + prm%c_3 = pl%get_asFloat('c_3', defaultVal=0.0_pReal) + prm%c_2 = pl%get_asFloat('c_2', defaultVal=0.0_pReal) + prm%a = pl%get_asFloat('a') + + prm%dilatation = pl%get_AsBool('dilatation',defaultVal = .false.) !-------------------------------------------------------------------------------------------------- ! sanity checks @@ -113,23 +130,23 @@ module subroutine plastic_isotropic_init !-------------------------------------------------------------------------------------------------- ! allocate state arrays - NipcMyPhase = count(material_phaseAt == p) * discretization_nIP - sizeDotState = size(['xi ','accumulated_shear']) + Nconstituents = count(material_phaseAt == p) * discretization_nIPs + sizeDotState = size(['xi ','gamma']) sizeState = sizeDotState - call material_allocateState(plasticState(p),NipcMyPhase,sizeState,sizeDotState,0) + call constitutive_allocateState(plasticState(p),Nconstituents,sizeState,sizeDotState,0) !-------------------------------------------------------------------------------------------------- ! state aliases and initialization stt%xi => plasticState(p)%state (1,:) stt%xi = xi_0 dot%xi => plasticState(p)%dotState(1,:) - plasticState(p)%atol(1) = config%getFloat('atol_xi',defaultVal=1.0_pReal) + plasticState(p)%atol(1) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal) if (plasticState(p)%atol(1) < 0.0_pReal) extmsg = trim(extmsg)//' atol_xi' stt%gamma => plasticState(p)%state (2,:) dot%gamma => plasticState(p)%dotState(2,:) - plasticState(p)%atol(2) = config%getFloat('atol_gamma',defaultVal=1.0e-6_pReal) + plasticState(p)%atol(2) = pl%get_asFloat('atol_gamma',defaultVal=1.0e-6_pReal) if (plasticState(p)%atol(2) < 0.0_pReal) extmsg = trim(extmsg)//' atol_gamma' ! global alias plasticState(p)%slipRate => plasticState(p)%dotState(2:2,:) @@ -140,11 +157,11 @@ module subroutine plastic_isotropic_init !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_ISOTROPIC_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(isotropic)') enddo -end subroutine plastic_isotropic_init +end function plastic_isotropic_init !-------------------------------------------------------------------------------------------------- @@ -183,12 +200,11 @@ module subroutine plastic_isotropic_LpAndItsTangent(Lp,dLp_dMp,Mp,instance,of) Lp = dot_gamma/prm%M * Mp_dev/norm_Mp_dev #ifdef DEBUG - if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 & - .and. (of == prm%of_debug .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then - write(6,'(/,a,/,3(12x,3(f12.4,1x)/))') '<< CONST isotropic >> Tstar (dev) / MPa', & + if (debugConstitutive%extensive .and. (of == prm%of_debug .or. .not. debugConstitutive%selective)) then + print'(/,a,/,3(12x,3(f12.4,1x)/))', '<< CONST isotropic >> Tstar (dev) / MPa', & transpose(Mp_dev)*1.0e-6_pReal - write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal - write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', dot_gamma + print'(/,a,/,f12.5)', '<< CONST isotropic >> norm Tstar / MPa', norm_Mp_dev*1.0e-6_pReal + print'(/,a,/,f12.5)', '<< CONST isotropic >> gdot', dot_gamma end if #endif forall (k=1:3,l=1:3,m=1:3,n=1:3) & @@ -239,10 +255,9 @@ module subroutine plastic_isotropic_LiAndItsTangent(Li,dLi_dMi,Mi,instance,of) * tr * abs(tr)**(prm%n-1.0_pReal) #ifdef DEBUG - if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 & - .and. (of == prm%of_debug .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then - write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> pressure / MPa', tr/3.0_pReal*1.0e-6_pReal - write(6,'(/,a,/,f12.5)') '<< CONST isotropic >> gdot', prm%dot_gamma_0 * (3.0_pReal*prm%M*stt%xi(of))**(-prm%n) & + if (debugConstitutive%extensive .and. (of == prm%of_debug .or. .not. debugConstitutive%selective)) then + print'(/,a,/,f12.5)', '<< CONST isotropic >> pressure / MPa', tr/3.0_pReal*1.0e-6_pReal + print'(/,a,/,f12.5)', '<< CONST isotropic >> gdot', prm%dot_gamma_0 * (3.0_pReal*prm%M*stt%xi(of))**(-prm%n) & * tr * abs(tr)**(prm%n-1.0_pReal) end if #endif @@ -295,7 +310,7 @@ module subroutine plastic_isotropic_dotState(Mp,instance,of) / prm%c_4 * (dot_gamma / prm%dot_gamma_0)**(1.0_pReal / prm%n) endif dot%xi(of) = dot_gamma & - * ( prm%h0 + prm%h_ln * log(dot_gamma) ) & + * ( prm%h_0 + prm%h_ln * log(dot_gamma) ) & * abs( 1.0_pReal - stt%xi(of)/xi_inf_star )**prm%a & * sign(1.0_pReal, 1.0_pReal - stt%xi(of)/xi_inf_star) else @@ -322,8 +337,9 @@ module subroutine plastic_isotropic_results(instance,group) associate(prm => param(instance), stt => state(instance)) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case ('flowstress') ! ToDo: should be 'xi' - call results_writeDataset(group,stt%xi,'xi','resistance against plastic flow','Pa') + case ('xi') + call results_writeDataset(group,stt%xi,trim(prm%output(o)), & + 'resistance against plastic flow','Pa') end select enddo outputsLoop end associate diff --git a/src/constitutive_plastic_kinehardening.f90 b/src/constitutive_plastic_kinehardening.f90 index 36b1eedf9..3faf7dc41 100644 --- a/src/constitutive_plastic_kinehardening.f90 +++ b/src/constitutive_plastic_kinehardening.f90 @@ -5,19 +5,19 @@ !> @brief Phenomenological crystal plasticity using a power law formulation for the shear rates !! and a Voce-type kinematic hardening rule !-------------------------------------------------------------------------------------------------- -submodule(constitutive) plastic_kinehardening +submodule(constitutive:constitutive_plastic) plastic_kinehardening type :: tParameters real(pReal) :: & - gdot0 = 1.0_pReal, & !< reference shear strain rate for slip - n = 1.0_pReal !< stress exponent for slip + n = 1.0_pReal, & !< stress exponent for slip + dot_gamma_0 = 1.0_pReal !< reference shear strain rate for slip real(pReal), allocatable, dimension(:) :: & - theta0, & !< initial hardening rate of forward stress for each slip - theta1, & !< asymptotic hardening rate of forward stress for each slip - theta0_b, & !< initial hardening rate of back stress for each slip - theta1_b, & !< asymptotic hardening rate of back stress for each slip - tau1, & - tau1_b + h_0_f, & !< initial hardening rate of forward stress for each slip + h_inf_f, & !< asymptotic hardening rate of forward stress for each slip + h_0_b, & !< initial hardening rate of back stress for each slip + h_inf_b, & !< asymptotic hardening rate of back stress for each slip + xi_inf_f, & + xi_inf_b real(pReal), allocatable, dimension(:,:) :: & interaction_slipslip !< slip resistance from slip activity real(pReal), allocatable, dimension(:,:,:) :: & @@ -58,12 +58,13 @@ contains !> @brief Perform module initialization. !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -module subroutine plastic_kinehardening_init +module function plastic_kinehardening_init() result(myPlasticity) + logical, dimension(:), allocatable :: myPlasticity integer :: & - Ninstance, & - p, o, & - NipcMyPhase, & + Ninstances, & + p, i, o, & + Nconstituents, & sizeState, sizeDeltaState, sizeDotState, & startIndex, endIndex integer, dimension(:), allocatable :: & @@ -73,44 +74,58 @@ module subroutine plastic_kinehardening_init a !< non-Schmid coefficients character(len=pStringLen) :: & extmsg = '' + class(tNode), pointer :: & + phases, & + phase, & + pl - write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_KINEHARDENING_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- plastic_kinehardening init -+>>>' - Ninstance = count(phase_plasticity == PLASTICITY_KINEHARDENING_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + myPlasticity = plastic_active('kinehardening') + Ninstances = count(myPlasticity) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - allocate(param(Ninstance)) - allocate(state(Ninstance)) - allocate(dotState(Ninstance)) - allocate(deltaState(Ninstance)) + allocate(param(Ninstances)) + allocate(state(Ninstances)) + allocate(dotState(Ninstances)) + allocate(deltaState(Ninstances)) - do p = 1, size(phase_plasticityInstance) - if (phase_plasticity(p) /= PLASTICITY_KINEHARDENING_ID) cycle - associate(prm => param(phase_plasticityInstance(p)), & - dot => dotState(phase_plasticityInstance(p)), & - dlt => deltaState(phase_plasticityInstance(p)), & - stt => state(phase_plasticityInstance(p)),& - config => config_phase(p)) + phases => config_material%get('phase') + i = 0 + do p = 1, phases%length + phase => phases%get(p) - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) + if(.not. myPlasticity(p)) cycle + i = i + 1 + associate(prm => param(i), & + dot => dotState(i), & + dlt => deltaState(i), & + stt => state(i)) + pl => phase%get('plasticity') + +#if defined (__GFORTRAN__) + prm%output = output_asStrings(pl) +#else + prm%output = pl%get_asStrings('output',defaultVal=emptyStringArray) +#endif #ifdef DEBUG - if (p==material_phaseAt(debug_g,debug_e)) then - prm%of_debug = material_phasememberAt(debug_g,debug_i,debug_e) + if (p==material_phaseAt(debugConstitutive%grain,debugConstitutive%element)) then + prm%of_debug = material_phasememberAt(debugConstitutive%grain,debugConstitutive%ip,debugConstitutive%element) endif #endif !-------------------------------------------------------------------------------------------------- ! slip related parameters - N_sl = config%getInts('nslip',defaultVal=emptyIntArray) + N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) prm%sum_N_sl = sum(abs(N_sl)) slipActive: if (prm%sum_N_sl > 0) then - prm%P = lattice_SchmidMatrix_slip(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%P = lattice_SchmidMatrix_slip(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - if(trim(config%getString('lattice_structure')) == 'bcc') then - a = config%getFloats('nonschmid_coefficients',defaultVal = emptyRealArray) + if(trim(phase%get_asString('lattice')) == 'bcc') then + a = pl%get_asFloats('a_nonSchmid',defaultVal = emptyRealArray) if(size(a) > 0) prm%nonSchmidActive = .true. prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,a,-1) @@ -119,74 +134,74 @@ module subroutine plastic_kinehardening_init prm%nonSchmid_neg = prm%P endif prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(N_sl, & - config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure')) + pl%get_asFloats('h_sl_sl'), & + phase%get_asString('lattice')) - xi_0 = config%getFloats('crss0', requiredSize=size(N_sl)) - prm%tau1 = config%getFloats('tau1', requiredSize=size(N_sl)) - prm%tau1_b = config%getFloats('tau1_b', requiredSize=size(N_sl)) - prm%theta0 = config%getFloats('theta0', requiredSize=size(N_sl)) - prm%theta1 = config%getFloats('theta1', requiredSize=size(N_sl)) - prm%theta0_b = config%getFloats('theta0_b', requiredSize=size(N_sl)) - prm%theta1_b = config%getFloats('theta1_b', requiredSize=size(N_sl)) + xi_0 = pl%get_asFloats('xi_0', requiredSize=size(N_sl)) + prm%xi_inf_f = pl%get_asFloats('xi_inf_f', requiredSize=size(N_sl)) + prm%xi_inf_b = pl%get_asFloats('xi_inf_b', requiredSize=size(N_sl)) + prm%h_0_f = pl%get_asFloats('h_0_f', requiredSize=size(N_sl)) + prm%h_inf_f = pl%get_asFloats('h_inf_f', requiredSize=size(N_sl)) + prm%h_0_b = pl%get_asFloats('h_0_b', requiredSize=size(N_sl)) + prm%h_inf_b = pl%get_asFloats('h_inf_b', requiredSize=size(N_sl)) - prm%gdot0 = config%getFloat('gdot0') - prm%n = config%getFloat('n_slip') + prm%dot_gamma_0 = pl%get_asFloat('dot_gamma_0') + prm%n = pl%get_asFloat('n') ! expand: family => system - xi_0 = math_expand(xi_0, N_sl) - prm%tau1 = math_expand(prm%tau1, N_sl) - prm%tau1_b = math_expand(prm%tau1_b, N_sl) - prm%theta0 = math_expand(prm%theta0, N_sl) - prm%theta1 = math_expand(prm%theta1, N_sl) - prm%theta0_b = math_expand(prm%theta0_b,N_sl) - prm%theta1_b = math_expand(prm%theta1_b,N_sl) + xi_0 = math_expand(xi_0, N_sl) + prm%xi_inf_f = math_expand(prm%xi_inf_f, N_sl) + prm%xi_inf_b = math_expand(prm%xi_inf_b, N_sl) + prm%h_0_f = math_expand(prm%h_0_f, N_sl) + prm%h_inf_f = math_expand(prm%h_inf_f, N_sl) + prm%h_0_b = math_expand(prm%h_0_b, N_sl) + prm%h_inf_b = math_expand(prm%h_inf_b, N_sl) !-------------------------------------------------------------------------------------------------- ! sanity checks - if ( prm%gdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0' - if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip' - if (any(xi_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' crss0' - if (any(prm%tau1 <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1' - if (any(prm%tau1_b <= 0.0_pReal)) extmsg = trim(extmsg)//' tau1_b' + if ( prm%dot_gamma_0 <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0' + if ( prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' n' + if (any(xi_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0' + if (any(prm%xi_inf_f <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_f' + if (any(prm%xi_inf_b <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_b' !ToDo: Any sensible checks for theta? else slipActive xi_0 = emptyRealArray - allocate(prm%tau1,prm%tau1_b,prm%theta0,prm%theta1,prm%theta0_b,prm%theta1_b,source=emptyRealArray) + allocate(prm%xi_inf_f,prm%xi_inf_b,prm%h_0_f,prm%h_inf_f,prm%h_0_b,prm%h_inf_b,source=emptyRealArray) allocate(prm%interaction_SlipSlip(0,0)) endif slipActive !-------------------------------------------------------------------------------------------------- ! allocate state arrays - NipcMyPhase = count(material_phaseAt == p) * discretization_nIP - sizeDotState = size(['crss ','crss_back', 'accshear ']) * prm%sum_N_sl - sizeDeltaState = size(['sense ', 'chi0 ', 'gamma0' ]) * prm%sum_N_sl + Nconstituents = count(material_phaseAt == p) * discretization_nIPs + sizeDotState = size(['crss ','crss_back', 'accshear ']) * prm%sum_N_sl!ToDo: adjust names, ask Philip + sizeDeltaState = size(['sense ', 'chi0 ', 'gamma0' ]) * prm%sum_N_sl !ToDo: adjust names sizeState = sizeDotState + sizeDeltaState - call material_allocateState(plasticState(p),NipcMyPhase,sizeState,sizeDotState,sizeDeltaState) + call constitutive_allocateState(plasticState(p),Nconstituents,sizeState,sizeDotState,sizeDeltaState) !-------------------------------------------------------------------------------------------------- ! state aliases and initialization startIndex = 1 endIndex = prm%sum_N_sl stt%crss => plasticState(p)%state (startIndex:endIndex,:) - stt%crss = spread(xi_0, 2, NipcMyPhase) + stt%crss = spread(xi_0, 2, Nconstituents) dot%crss => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_xi',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi' startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_sl stt%crss_back => plasticState(p)%state (startIndex:endIndex,:) dot%crss_back => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_xi',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal) startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_sl stt%accshear => plasticState(p)%state (startIndex:endIndex,:) dot%accshear => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_gamma',defaultVal=1.0e-6_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_gamma',defaultVal=1.0e-6_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_gamma' ! global alias plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:) @@ -213,12 +228,12 @@ module subroutine plastic_kinehardening_init !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_KINEHARDENING_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(kinehardening)') enddo -end subroutine plastic_kinehardening_init +end function plastic_kinehardening_init !-------------------------------------------------------------------------------------------------- @@ -288,16 +303,16 @@ module subroutine plastic_kinehardening_dotState(Mp,instance,of) dot%crss(:,of) = matmul(prm%interaction_SlipSlip,dot%accshear(:,of)) & - * ( prm%theta1 & - + (prm%theta0 - prm%theta1 + prm%theta0*prm%theta1*sumGamma/prm%tau1) & - * exp(-sumGamma*prm%theta0/prm%tau1) & + * ( prm%h_inf_f & + + (prm%h_0_f - prm%h_inf_f + prm%h_0_f*prm%h_inf_f*sumGamma/prm%xi_inf_f) & + * exp(-sumGamma*prm%h_0_f/prm%xi_inf_f) & ) dot%crss_back(:,of) = stt%sense(:,of)*dot%accshear(:,of) * & - ( prm%theta1_b + & - (prm%theta0_b - prm%theta1_b & - + prm%theta0_b*prm%theta1_b/(prm%tau1_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))& - ) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%theta0_b/(prm%tau1_b+stt%chi0(:,of))) & + ( prm%h_inf_b + & + (prm%h_0_b - prm%h_inf_b & + + prm%h_0_b*prm%h_inf_b/(prm%xi_inf_b+stt%chi0(:,of))*(stt%accshear(:,of)-stt%gamma0(:,of))& + ) *exp(-(stt%accshear(:,of)-stt%gamma0(:,of)) *prm%h_0_b/(prm%xi_inf_b+stt%chi0(:,of))) & ) end associate @@ -328,11 +343,10 @@ module subroutine plastic_kinehardening_deltaState(Mp,instance,of) dEq0(gdot_pos+gdot_neg,1e-10_pReal)) ! current sense of shear direction #ifdef DEBUG - if (iand(debug_level(debug_constitutive), debug_levelExtensive) /= 0 & - .and. (of == prm%of_debug & - .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then - write(6,'(a)') '======= kinehardening delta state =======' - write(6,*) sense,state(instance)%sense(:,of) + if (debugConstitutive%extensive & + .and. (of == prm%of_debug .or. .not. debugConstitutive%selective)) then + print*, '======= kinehardening delta state =======' + print*, sense,state(instance)%sense(:,of) endif #endif @@ -366,23 +380,23 @@ module subroutine plastic_kinehardening_results(instance,group) associate(prm => param(instance), stt => state(instance)) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case('resistance') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%crss,'xi_sl', & + case('xi') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%crss,trim(prm%output(o)), & 'resistance against plastic slip','Pa') - case('backstress') ! ToDo: should be 'tau_back' - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%crss_back,'tau_back', & + case('tau_b') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%crss_back,trim(prm%output(o)), & 'back stress against plastic slip','Pa') - case ('sense') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%sense,'sense_of_shear', & + case ('sgn(gamma)') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%sense,trim(prm%output(o)), & ! ToDo: could be int 'tbd','1') - case ('chi0') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%chi0,'chi0', & + case ('chi_0') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%chi0,trim(prm%output(o)), & 'tbd','Pa') - case ('gamma0') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma0,'gamma0', & + case ('gamma_0') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma0,trim(prm%output(o)), & 'tbd','1') - case ('accumulatedshear') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%accshear,'gamma_sl', & + case ('gamma') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%accshear,trim(prm%output(o)), & 'plastic shear','1') end select enddo outputsLoop @@ -428,14 +442,14 @@ pure subroutine kinetics(Mp,instance,of, & enddo where(dNeq0(tau_pos)) - gdot_pos = prm%gdot0 * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active + gdot_pos = prm%dot_gamma_0 * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active * sign(abs(tau_pos/stt%crss(:,of))**prm%n, tau_pos) else where gdot_pos = 0.0_pReal end where where(dNeq0(tau_neg)) - gdot_neg = prm%gdot0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2 + gdot_neg = prm%dot_gamma_0 * 0.5_pReal & ! only used if non-Schmid active, always 1/2 * sign(abs(tau_neg/stt%crss(:,of))**prm%n, tau_neg) else where gdot_neg = 0.0_pReal diff --git a/src/constitutive_plastic_none.f90 b/src/constitutive_plastic_none.f90 index 667fe5638..923ae354a 100644 --- a/src/constitutive_plastic_none.f90 +++ b/src/constitutive_plastic_none.f90 @@ -4,35 +4,48 @@ !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH !> @brief Dummy plasticity for purely elastic material !-------------------------------------------------------------------------------------------------- -submodule(constitutive) plastic_none +submodule(constitutive:constitutive_plastic) plastic_none contains !-------------------------------------------------------------------------------------------------- -!> @brief module initialization +!> @brief Perform module initialization. !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -module subroutine plastic_none_init +module function plastic_none_init() result(myPlasticity) + logical, dimension(:), allocatable :: myPlasticity integer :: & - Ninstance, & + Ninstances, & p, & - NipcMyPhase + Nconstituents + class(tNode), pointer :: & + phases, & + phase, & + pl - write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_NONE_LABEL//' init -+>>>'; flush(6) - - Ninstance = count(phase_plasticity == PLASTICITY_NONE_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance - - do p = 1, size(phase_plasticity) - if (phase_plasticity(p) /= PLASTICITY_NONE_ID) cycle - - NipcMyPhase = count(material_phaseAt == p) * discretization_nIP - call material_allocateState(plasticState(p),NipcMyPhase,0,0,0) + print'(/,a)', ' <<<+- plastic_none init -+>>>' + phases => config_material%get('phase') + allocate(myPlasticity(phases%length), source = .false.) + do p = 1, phases%length + phase => phases%get(p) + pl => phase%get('plasticity') + if(pl%get_asString('type') == 'none') myPlasticity(p) = .true. enddo -end subroutine plastic_none_init + Ninstances = count(myPlasticity) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return + + do p = 1, phases%length + phase => phases%get(p) + if(.not. myPlasticity(p)) cycle + Nconstituents = count(material_phaseAt == p) * discretization_nIPs + call constitutive_allocateState(plasticState(p),Nconstituents,0,0,0) + enddo + +end function plastic_none_init + end submodule plastic_none diff --git a/src/constitutive_plastic_nonlocal.f90 b/src/constitutive_plastic_nonlocal.f90 index 65fea24b2..472415ba9 100644 --- a/src/constitutive_plastic_nonlocal.f90 +++ b/src/constitutive_plastic_nonlocal.f90 @@ -4,7 +4,7 @@ !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief material subroutine for plasticity including dislocation flux !-------------------------------------------------------------------------------------------------- -submodule(constitutive) plastic_nonlocal +submodule(constitutive:constitutive_plastic) plastic_nonlocal use geometry_plastic_nonlocal, only: & nIPneighbors => geometry_plastic_nonlocal_nIPneighbors, & IPneighborhood => geometry_plastic_nonlocal_IPneighborhood, & @@ -37,7 +37,7 @@ submodule(constitutive) plastic_nonlocal ! BEGIN DEPRECATED integer, dimension(:,:,:), allocatable :: & iRhoU, & !< state indices for unblocked density - iV, & !< state indices for dislcation velocities + iV, & !< state indices for dislocation velocities iD !< state indices for stable dipole height !END DEPRECATED @@ -46,58 +46,58 @@ submodule(constitutive) plastic_nonlocal type :: tInitialParameters !< container type for internal constitutive parameters real(pReal) :: & - rhoSglScatter, & !< standard deviation of scatter in initial dislocation density - rhoSglRandom, & - rhoSglRandomBinning + sigma_rho_u, & !< standard deviation of scatter in initial dislocation density + random_rho_u, & + random_rho_u_binning real(pReal), dimension(:), allocatable :: & - rhoSglEdgePos0, & !< initial edge_pos dislocation density - rhoSglEdgeNeg0, & !< initial edge_neg dislocation density - rhoSglScrewPos0, & !< initial screw_pos dislocation density - rhoSglScrewNeg0, & !< initial screw_neg dislocation density - rhoDipEdge0, & !< initial edge dipole dislocation density - rhoDipScrew0 !< initial screw dipole dislocation density - integer, dimension(:) ,allocatable :: & + rho_u_ed_pos_0, & !< initial edge_pos dislocation density + rho_u_ed_neg_0, & !< initial edge_neg dislocation density + rho_u_sc_pos_0, & !< initial screw_pos dislocation density + rho_u_sc_neg_0, & !< initial screw_neg dislocation density + rho_d_ed_0, & !< initial edge dipole dislocation density + rho_d_sc_0 !< initial screw dipole dislocation density + integer, dimension(:), allocatable :: & N_sl end type tInitialParameters type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - atomicVolume, & !< atomic volume - Dsd0, & !< prefactor for self-diffusion coefficient - selfDiffusionEnergy, & !< activation enthalpy for diffusion + V_at, & !< atomic volume + D_0, & !< prefactor for self-diffusion coefficient + Q_cl, & !< activation enthalpy for diffusion atol_rho, & !< absolute tolerance for dislocation density in state integration - significantRho, & !< density considered significant - significantN, & !< number of dislocations considered significant - doublekinkwidth, & !< width of a doubkle kink in multiples of the burgers vector length b - solidSolutionEnergy, & !< activation energy for solid solution in J - solidSolutionSize, & !< solid solution obstacle size in multiples of the burgers vector length - solidSolutionConcentration, & !< concentration of solid solution in atomic parts + rho_significant, & !< density considered significant + rho_min, & !< number of dislocations considered significant + w, & !< width of a doubkle kink in multiples of the Burgers vector length b + Q_sol, & !< activation energy for solid solution in J + f_sol, & !< solid solution obstacle size in multiples of the Burgers vector length + c_sol, & !< concentration of solid solution in atomic parts p, & !< parameter for kinetic law (Kocks,Argon,Ashby) q, & !< parameter for kinetic law (Kocks,Argon,Ashby) - viscosity, & !< viscosity for dislocation glide in Pa s - fattack, & !< attack frequency in Hz - surfaceTransmissivity, & !< transmissivity at free surface - grainboundaryTransmissivity, & !< transmissivity at grain boundary (identified by different texture) - CFLfactor, & !< safety factor for CFL flux condition - fEdgeMultiplication, & !< factor that determines how much edge dislocations contribute to multiplication (0...1) - linetensionEffect, & - edgeJogFactor, & + eta, & !< viscosity for dislocation glide in Pa s + nu_a, & !< attack frequency in Hz + chi_surface, & !< transmissivity at free surface + chi_GB, & !< transmissivity at grain boundary (identified by different texture) + f_c, & !< safety factor for CFL flux condition + f_ed_mult, & !< factor that determines how much edge dislocations contribute to multiplication (0...1) + f_F, & + f_ed, & mu, & nu real(pReal), dimension(:), allocatable :: & - minDipoleHeight_edge, & !< minimum stable edge dipole height - minDipoleHeight_screw, & !< minimum stable screw dipole height - peierlsstress_edge, & - peierlsstress_screw, & - lambda0, & !< mean free path prefactor for each - burgers !< absolute length of burgers vector [m] + d_ed, & !< minimum stable edge dipole height + d_sc, & !< minimum stable screw dipole height + tau_Peierls_ed, & + tau_Peierls_sc, & + i_sl, & !< mean free path prefactor for each + b_sl !< absolute length of Burgers vector [m] real(pReal), dimension(:,:), allocatable :: & slip_normal, & slip_direction, & slip_transverse, & minDipoleHeight, & ! edge and screw peierlsstress, & ! edge and screw - interactionSlipSlip ,& !< coefficients for slip-slip interaction + h_sl_sl ,& !< coefficients for slip-slip interaction forestProjection_Edge, & !< matrix of forest projections of edge dislocations forestProjection_Screw !< matrix of forest projections of screw dislocations real(pReal), dimension(:,:,:), allocatable :: & @@ -147,28 +147,30 @@ submodule(constitutive) plastic_nonlocal v_scr_neg end type tNonlocalState - type(tNonlocalState), allocatable, dimension(:) :: & + type(tNonlocalState), allocatable, dimension(:) :: & deltaState, & dotState, & state, & state0 - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) type(tNonlocalMicrostructure), dimension(:), allocatable :: microstructure contains + !-------------------------------------------------------------------------------------------------- -!> @brief module initialization +!> @brief Perform module initialization. !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -module subroutine plastic_nonlocal_init +module function plastic_nonlocal_init() result(myPlasticity) + logical, dimension(:), allocatable :: myPlasticity integer :: & - Ninstance, & - p, & - NipcMyPhase, & + Ninstances, & + p, i, & + Nconstituents, & sizeState, sizeDotState, sizeDependentState, sizeDeltaState, & s1, s2, & s, t, l @@ -178,53 +180,71 @@ module subroutine plastic_nonlocal_init extmsg = '' type(tInitialParameters) :: & ini + class(tNode), pointer :: & + phases, & + phase, & + pl - write(6,'(/,a)') ' <<<+- constitutive_'//PLASTICITY_NONLOCAL_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- plastic_nonlocal init -+>>>' - write(6,'(/,a)') ' Reuber et al., Acta Materialia 71:333–348, 2014' - write(6,'(a)') ' https://doi.org/10.1016/j.actamat.2014.03.012' + myPlasticity = plastic_active('nonlocal') + Ninstances = count(myPlasticity) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) then + call geometry_plastic_nonlocal_disable + return + endif + + print*, 'Reuber et al., Acta Materialia 71:333–348, 2014' + print*, 'https://doi.org/10.1016/j.actamat.2014.03.012'//IO_EOL - write(6,'(/,a)') ' Kords, Dissertation RWTH Aachen, 2014' - write(6,'(a)') ' http://publications.rwth-aachen.de/record/229993' + print*, 'Kords, Dissertation RWTH Aachen, 2014' + print*, 'http://publications.rwth-aachen.de/record/229993' - Ninstance = count(phase_plasticity == PLASTICITY_NONLOCAL_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + allocate(param(Ninstances)) + allocate(state(Ninstances)) + allocate(state0(Ninstances)) + allocate(dotState(Ninstances)) + allocate(deltaState(Ninstances)) + allocate(microstructure(Ninstances)) - allocate(param(Ninstance)) - allocate(state(Ninstance)) - allocate(state0(Ninstance)) - allocate(dotState(Ninstance)) - allocate(deltaState(Ninstance)) - allocate(microstructure(Ninstance)) + phases => config_material%get('phase') + i = 0 + do p = 1, phases%length + phase => phases%get(p) - do p=1, size(config_phase) - if (phase_plasticity(p) /= PLASTICITY_NONLOCAL_ID) cycle + if(.not. myPlasticity(p)) cycle + i = i + 1 + associate(prm => param(i), & + dot => dotState(i), & + stt => state(i), & + st0 => state0(i), & + del => deltaState(i), & + dst => microstructure(i)) + pl => phase%get('plasticity') - associate(prm => param(phase_plasticityInstance(p)), & - dot => dotState(phase_plasticityInstance(p)), & - stt => state(phase_plasticityInstance(p)), & - st0 => state0(phase_plasticityInstance(p)), & - del => deltaState(phase_plasticityInstance(p)), & - dst => microstructure(phase_plasticityInstance(p)), & - config => config_phase(p)) + phase_localPlasticity(p) = .not. pl%contains('nonlocal') - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(pl) +#else + prm%output = pl%get_asStrings('output',defaultVal=emptyStringArray) +#endif - prm%atol_rho = config%getFloat('atol_rho',defaultVal=1.0e4_pReal) + prm%atol_rho = pl%get_asFloat('atol_rho',defaultVal=1.0e4_pReal) ! This data is read in already in lattice prm%mu = lattice_mu(p) prm%nu = lattice_nu(p) - ini%N_sl = config%getInts('nslip',defaultVal=emptyIntArray) + ini%N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) prm%sum_N_sl = sum(abs(ini%N_sl)) slipActive: if (prm%sum_N_sl > 0) then - prm%Schmid = lattice_SchmidMatrix_slip(ini%N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%Schmid = lattice_SchmidMatrix_slip(ini%N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - if(trim(config%getString('lattice_structure')) == 'bcc') then - a = config%getFloats('nonschmid_coefficients',defaultVal = emptyRealArray) + if(trim(phase%get_asString('lattice')) == 'bcc') then + a = pl%get_asFloats('a_nonSchmid',defaultVal = emptyRealArray) if(size(a) > 0) prm%nonSchmidActive = .true. prm%nonSchmid_pos = lattice_nonSchmidMatrix(ini%N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(ini%N_sl,a,-1) @@ -233,21 +253,21 @@ module subroutine plastic_nonlocal_init prm%nonSchmid_neg = prm%Schmid endif - prm%interactionSlipSlip = lattice_interaction_SlipBySlip(ini%N_sl, & - config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure')) + prm%h_sl_sl = lattice_interaction_SlipBySlip(ini%N_sl, & + pl%get_asFloats('h_sl_sl'), & + phase%get_asString('lattice')) - prm%forestProjection_edge = lattice_forestProjection_edge (ini%N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%forestProjection_screw = lattice_forestProjection_screw(ini%N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%forestProjection_edge = lattice_forestProjection_edge (ini%N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + prm%forestProjection_screw = lattice_forestProjection_screw(ini%N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - prm%slip_direction = lattice_slip_direction (ini%N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%slip_transverse = lattice_slip_transverse(ini%N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%slip_normal = lattice_slip_normal (ini%N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%slip_direction = lattice_slip_direction (ini%N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + prm%slip_transverse = lattice_slip_transverse(ini%N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + prm%slip_normal = lattice_slip_normal (ini%N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) ! collinear systems (only for octahedral slip systems in fcc) allocate(prm%colinearSystem(prm%sum_N_sl), source = -1) @@ -259,119 +279,119 @@ module subroutine plastic_nonlocal_init enddo enddo - ini%rhoSglEdgePos0 = config%getFloats('rhosgledgepos0', requiredSize=size(ini%N_sl)) - ini%rhoSglEdgeNeg0 = config%getFloats('rhosgledgeneg0', requiredSize=size(ini%N_sl)) - ini%rhoSglScrewPos0 = config%getFloats('rhosglscrewpos0', requiredSize=size(ini%N_sl)) - ini%rhoSglScrewNeg0 = config%getFloats('rhosglscrewneg0', requiredSize=size(ini%N_sl)) - ini%rhoDipEdge0 = config%getFloats('rhodipedge0', requiredSize=size(ini%N_sl)) - ini%rhoDipScrew0 = config%getFloats('rhodipscrew0', requiredSize=size(ini%N_sl)) + ini%rho_u_ed_pos_0 = pl%get_asFloats('rho_u_ed_pos_0', requiredSize=size(ini%N_sl)) + ini%rho_u_ed_neg_0 = pl%get_asFloats('rho_u_ed_neg_0', requiredSize=size(ini%N_sl)) + ini%rho_u_sc_pos_0 = pl%get_asFloats('rho_u_sc_pos_0', requiredSize=size(ini%N_sl)) + ini%rho_u_sc_neg_0 = pl%get_asFloats('rho_u_sc_neg_0', requiredSize=size(ini%N_sl)) + ini%rho_d_ed_0 = pl%get_asFloats('rho_d_ed_0', requiredSize=size(ini%N_sl)) + ini%rho_d_sc_0 = pl%get_asFloats('rho_d_sc_0', requiredSize=size(ini%N_sl)) - prm%lambda0 = config%getFloats('lambda0', requiredSize=size(ini%N_sl)) - prm%burgers = config%getFloats('burgers', requiredSize=size(ini%N_sl)) + prm%i_sl = pl%get_asFloats('i_sl', requiredSize=size(ini%N_sl)) + prm%b_sl = pl%get_asFloats('b_sl', requiredSize=size(ini%N_sl)) - prm%lambda0 = math_expand(prm%lambda0,ini%N_sl) - prm%burgers = math_expand(prm%burgers,ini%N_sl) + prm%i_sl = math_expand(prm%i_sl,ini%N_sl) + prm%b_sl = math_expand(prm%b_sl,ini%N_sl) - prm%minDipoleHeight_edge = config%getFloats('minimumdipoleheightedge', requiredSize=size(ini%N_sl)) - prm%minDipoleHeight_screw = config%getFloats('minimumdipoleheightscrew', requiredSize=size(ini%N_sl)) - prm%minDipoleHeight_edge = math_expand(prm%minDipoleHeight_edge, ini%N_sl) - prm%minDipoleHeight_screw = math_expand(prm%minDipoleHeight_screw,ini%N_sl) + prm%d_ed = pl%get_asFloats('d_ed', requiredSize=size(ini%N_sl)) + prm%d_sc = pl%get_asFloats('d_sc', requiredSize=size(ini%N_sl)) + prm%d_ed = math_expand(prm%d_ed,ini%N_sl) + prm%d_sc = math_expand(prm%d_sc,ini%N_sl) allocate(prm%minDipoleHeight(prm%sum_N_sl,2)) - prm%minDipoleHeight(:,1) = prm%minDipoleHeight_edge - prm%minDipoleHeight(:,2) = prm%minDipoleHeight_screw + prm%minDipoleHeight(:,1) = prm%d_ed + prm%minDipoleHeight(:,2) = prm%d_sc - prm%peierlsstress_edge = config%getFloats('peierlsstressedge', requiredSize=size(ini%N_sl)) - prm%peierlsstress_screw = config%getFloats('peierlsstressscrew', requiredSize=size(ini%N_sl)) - prm%peierlsstress_edge = math_expand(prm%peierlsstress_edge, ini%N_sl) - prm%peierlsstress_screw = math_expand(prm%peierlsstress_screw,ini%N_sl) + prm%tau_Peierls_ed = pl%get_asFloats('tau_Peierls_ed', requiredSize=size(ini%N_sl)) + prm%tau_Peierls_sc = pl%get_asFloats('tau_Peierls_sc', requiredSize=size(ini%N_sl)) + prm%tau_Peierls_ed = math_expand(prm%tau_Peierls_ed,ini%N_sl) + prm%tau_Peierls_sc = math_expand(prm%tau_Peierls_sc,ini%N_sl) allocate(prm%peierlsstress(prm%sum_N_sl,2)) - prm%peierlsstress(:,1) = prm%peierlsstress_edge - prm%peierlsstress(:,2) = prm%peierlsstress_screw + prm%peierlsstress(:,1) = prm%tau_Peierls_ed + prm%peierlsstress(:,2) = prm%tau_Peierls_sc - prm%significantRho = config%getFloat('significantrho') - prm%significantN = config%getFloat('significantn', 0.0_pReal) - prm%CFLfactor = config%getFloat('cflfactor',defaultVal=2.0_pReal) + prm%rho_significant = pl%get_asFloat('rho_significant') + prm%rho_min = pl%get_asFloat('rho_min', 0.0_pReal) + prm%f_c = pl%get_asFloat('f_c',defaultVal=2.0_pReal) - prm%atomicVolume = config%getFloat('atomicvolume') - prm%Dsd0 = config%getFloat('selfdiffusionprefactor') !,'dsd0' - prm%selfDiffusionEnergy = config%getFloat('selfdiffusionenergy') !,'qsd' - prm%linetensionEffect = config%getFloat('linetension') - prm%edgeJogFactor = config%getFloat('edgejog')!,'edgejogs' - prm%doublekinkwidth = config%getFloat('doublekinkwidth') - prm%solidSolutionEnergy = config%getFloat('solidsolutionenergy') - prm%solidSolutionSize = config%getFloat('solidsolutionsize') - prm%solidSolutionConcentration = config%getFloat('solidsolutionconcentration') + prm%V_at = pl%get_asFloat('V_at') + prm%D_0 = pl%get_asFloat('D_0') + prm%Q_cl = pl%get_asFloat('Q_cl') + prm%f_F = pl%get_asFloat('f_F') + prm%f_ed = pl%get_asFloat('f_ed') !,'edgejogs' + prm%w = pl%get_asFloat('w') + prm%Q_sol = pl%get_asFloat('Q_sol') + prm%f_sol = pl%get_asFloat('f_sol') + prm%c_sol = pl%get_asFloat('c_sol') - prm%p = config%getFloat('p') - prm%q = config%getFloat('q') - prm%viscosity = config%getFloat('viscosity') - prm%fattack = config%getFloat('attackfrequency') + prm%p = pl%get_asFloat('p_sl') + prm%q = pl%get_asFloat('q_sl') + prm%eta = pl%get_asFloat('eta') + prm%nu_a = pl%get_asFloat('nu_a') ! ToDo: discuss logic - ini%rhoSglScatter = config%getFloat('rhosglscatter') - ini%rhoSglRandom = config%getFloat('rhosglrandom',0.0_pReal) - if (config%keyExists('/rhosglrandom/')) & - ini%rhoSglRandomBinning = config%getFloat('rhosglrandombinning',0.0_pReal) !ToDo: useful default? + ini%sigma_rho_u = pl%get_asFloat('sigma_rho_u') + ini%random_rho_u = pl%get_asFloat('random_rho_u',defaultVal= 0.0_pReal) + if (pl%contains('random_rho_u')) & + ini%random_rho_u_binning = pl%get_asFloat('random_rho_u_binning',defaultVal=0.0_pReal) !ToDo: useful default? ! if (rhoSglRandom(instance) < 0.0_pReal) & ! if (rhoSglRandomBinning(instance) <= 0.0_pReal) & - prm%surfaceTransmissivity = config%getFloat('surfacetransmissivity',defaultVal=1.0_pReal) - prm%grainboundaryTransmissivity = config%getFloat('grainboundarytransmissivity',defaultVal=-1.0_pReal) - prm%fEdgeMultiplication = config%getFloat('edgemultiplication') - prm%shortRangeStressCorrection = config%keyExists('/shortrangestresscorrection/') + prm%chi_surface = pl%get_asFloat('chi_surface',defaultVal=1.0_pReal) + prm%chi_GB = pl%get_asFloat('chi_GB', defaultVal=-1.0_pReal) + prm%f_ed_mult = pl%get_asFloat('f_ed_mult') + prm%shortRangeStressCorrection = pl%get_asBool('short_range_stress_correction', defaultVal = .false.) !-------------------------------------------------------------------------------------------------- ! sanity checks - if (any(prm%burgers < 0.0_pReal)) extmsg = trim(extmsg)//' burgers' - if (any(prm%lambda0 <= 0.0_pReal)) extmsg = trim(extmsg)//' lambda0' + if (any(prm%b_sl < 0.0_pReal)) extmsg = trim(extmsg)//' b_sl' + if (any(prm%i_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' i_sl' - if (any(ini%rhoSglEdgePos0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoSglEdgePos0' - if (any(ini%rhoSglEdgeNeg0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoSglEdgeNeg0' - if (any(ini%rhoSglScrewPos0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoSglScrewPos0' - if (any(ini%rhoSglScrewNeg0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoSglScrewNeg0' - if (any(ini%rhoDipEdge0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoDipEdge0' - if (any(ini%rhoDipScrew0 < 0.0_pReal)) extmsg = trim(extmsg)//' rhoDipScrew0' + if (any(ini%rho_u_ed_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_pos_0' + if (any(ini%rho_u_ed_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_ed_neg_0' + if (any(ini%rho_u_sc_pos_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_pos_0' + if (any(ini%rho_u_sc_neg_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_u_sc_neg_0' + if (any(ini%rho_d_ed_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_ed_0' + if (any(ini%rho_d_sc_0 < 0.0_pReal)) extmsg = trim(extmsg)//' rho_d_sc_0' - if (any(prm%peierlsstress < 0.0_pReal)) extmsg = trim(extmsg)//' peierlsstress' - if (any(prm%minDipoleHeight < 0.0_pReal)) extmsg = trim(extmsg)//' minDipoleHeight' + if (any(prm%peierlsstress < 0.0_pReal)) extmsg = trim(extmsg)//' tau_peierls' + if (any(prm%minDipoleHeight < 0.0_pReal)) extmsg = trim(extmsg)//' d_ed or d_sc' - if (prm%viscosity <= 0.0_pReal) extmsg = trim(extmsg)//' viscosity' - if (prm%selfDiffusionEnergy <= 0.0_pReal) extmsg = trim(extmsg)//' selfDiffusionEnergy' - if (prm%fattack <= 0.0_pReal) extmsg = trim(extmsg)//' fattack' - if (prm%doublekinkwidth <= 0.0_pReal) extmsg = trim(extmsg)//' doublekinkwidth' - if (prm%Dsd0 < 0.0_pReal) extmsg = trim(extmsg)//' Dsd0' - if (prm%atomicVolume <= 0.0_pReal) extmsg = trim(extmsg)//' atomicVolume' ! ToDo: in disloUCLA, the atomic volume is given as a factor + if (prm%eta <= 0.0_pReal) extmsg = trim(extmsg)//' eta' + if (prm%Q_cl <= 0.0_pReal) extmsg = trim(extmsg)//' Q_cl' + if (prm%nu_a <= 0.0_pReal) extmsg = trim(extmsg)//' nu_a' + if (prm%w <= 0.0_pReal) extmsg = trim(extmsg)//' w' + if (prm%D_0 < 0.0_pReal) extmsg = trim(extmsg)//' D_0' + if (prm%V_at <= 0.0_pReal) extmsg = trim(extmsg)//' V_at' ! ToDo: in disloTungsten, the atomic volume is given as a factor - if (prm%significantN < 0.0_pReal) extmsg = trim(extmsg)//' significantN' - if (prm%significantrho < 0.0_pReal) extmsg = trim(extmsg)//' significantrho' - if (prm%atol_rho < 0.0_pReal) extmsg = trim(extmsg)//' atol_rho' - if (prm%CFLfactor < 0.0_pReal) extmsg = trim(extmsg)//' CFLfactor' + if (prm%rho_min < 0.0_pReal) extmsg = trim(extmsg)//' rho_min' + if (prm%rho_significant < 0.0_pReal) extmsg = trim(extmsg)//' rho_significant' + if (prm%atol_rho < 0.0_pReal) extmsg = trim(extmsg)//' atol_rho' + if (prm%f_c < 0.0_pReal) extmsg = trim(extmsg)//' f_c' - if (prm%p <= 0.0_pReal .or. prm%p > 1.0_pReal) extmsg = trim(extmsg)//' p' - if (prm%q < 1.0_pReal .or. prm%q > 2.0_pReal) extmsg = trim(extmsg)//' q' + if (prm%p <= 0.0_pReal .or. prm%p > 1.0_pReal) extmsg = trim(extmsg)//' p_sl' + if (prm%q < 1.0_pReal .or. prm%q > 2.0_pReal) extmsg = trim(extmsg)//' q_sl' - if (prm%linetensionEffect < 0.0_pReal .or. prm%linetensionEffect > 1.0_pReal) & - extmsg = trim(extmsg)//' linetensionEffect' - if (prm%edgeJogFactor < 0.0_pReal .or. prm%edgeJogFactor > 1.0_pReal) & - extmsg = trim(extmsg)//' edgeJogFactor' + if (prm%f_F < 0.0_pReal .or. prm%f_F > 1.0_pReal) & + extmsg = trim(extmsg)//' f_F' + if (prm%f_ed < 0.0_pReal .or. prm%f_ed > 1.0_pReal) & + extmsg = trim(extmsg)//' f_ed' - if (prm%solidSolutionEnergy <= 0.0_pReal) extmsg = trim(extmsg)//' solidSolutionEnergy' - if (prm%solidSolutionSize <= 0.0_pReal) extmsg = trim(extmsg)//' solidSolutionSize' - if (prm%solidSolutionConcentration <= 0.0_pReal) extmsg = trim(extmsg)//' solidSolutionConcentration' + if (prm%Q_sol <= 0.0_pReal) extmsg = trim(extmsg)//' Q_sol' + if (prm%f_sol <= 0.0_pReal) extmsg = trim(extmsg)//' f_sol' + if (prm%c_sol <= 0.0_pReal) extmsg = trim(extmsg)//' c_sol' - if (prm%grainboundaryTransmissivity > 1.0_pReal) extmsg = trim(extmsg)//' grainboundaryTransmissivity' - if (prm%surfaceTransmissivity < 0.0_pReal .or. prm%surfaceTransmissivity > 1.0_pReal) & - extmsg = trim(extmsg)//' surfaceTransmissivity' + if (prm%chi_GB > 1.0_pReal) extmsg = trim(extmsg)//' chi_GB' + if (prm%chi_surface < 0.0_pReal .or. prm%chi_surface > 1.0_pReal) & + extmsg = trim(extmsg)//' chi_surface' - if (prm%fEdgeMultiplication < 0.0_pReal .or. prm%fEdgeMultiplication > 1.0_pReal) & - extmsg = trim(extmsg)//' fEdgeMultiplication' + if (prm%f_ed_mult < 0.0_pReal .or. prm%f_ed_mult > 1.0_pReal) & + extmsg = trim(extmsg)//' f_ed_mult' endif slipActive !-------------------------------------------------------------------------------------------------- ! allocate state arrays - NipcMyPhase = count(material_phaseAt==p) * discretization_nIP + Nconstituents = count(material_phaseAt==p) * discretization_nIPs sizeDotState = size([ 'rhoSglEdgePosMobile ','rhoSglEdgeNegMobile ', & 'rhoSglScrewPosMobile ','rhoSglScrewNegMobile ', & 'rhoSglEdgePosImmobile ','rhoSglEdgeNegImmobile ', & @@ -385,9 +405,13 @@ module subroutine plastic_nonlocal_init 'maxDipoleHeightEdge ','maxDipoleHeightScrew' ]) * prm%sum_N_sl !< other dependent state variables that are not updated by microstructure sizeDeltaState = sizeDotState - call material_allocateState(plasticState(p),NipcMyPhase,sizeState,sizeDotState,sizeDeltaState) + call constitutive_allocateState(plasticState(p),Nconstituents,sizeState,sizeDotState,sizeDeltaState) + + plasticState(p)%nonlocal = pl%get_asBool('nonlocal') + if(plasticState(p)%nonlocal .and. .not. allocated(IPneighborhood)) & + call IO_error(212,ext_msg='IPneighborhood does not exist') + - plasticState(p)%nonlocal = config%KeyExists('/nonlocal/') plasticState(p)%offsetDeltaState = 0 ! ToDo: state structure does not follow convention st0%rho => plasticState(p)%state0 (0*prm%sum_N_sl+1:10*prm%sum_N_sl,:) @@ -452,71 +476,75 @@ module subroutine plastic_nonlocal_init dot%rho_dip_scr => plasticState(p)%dotState (9*prm%sum_N_sl+1:10*prm%sum_N_sl,:) del%rho_dip_scr => plasticState(p)%deltaState (9*prm%sum_N_sl+1:10*prm%sum_N_sl,:) - stt%gamma => plasticState(p)%state (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:NipcMyPhase) - dot%gamma => plasticState(p)%dotState (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:NipcMyPhase) - del%gamma => plasticState(p)%deltaState (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:NipcMyPhase) - plasticState(p)%atol(10*prm%sum_N_sl+1:11*prm%sum_N_sl ) = config%getFloat('atol_gamma', defaultVal = 1.0e-2_pReal) + stt%gamma => plasticState(p)%state (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:Nconstituents) + dot%gamma => plasticState(p)%dotState (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:Nconstituents) + del%gamma => plasticState(p)%deltaState (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:Nconstituents) + plasticState(p)%atol(10*prm%sum_N_sl+1:11*prm%sum_N_sl ) = pl%get_asFloat('atol_gamma', defaultVal = 1.0e-2_pReal) if(any(plasticState(p)%atol(10*prm%sum_N_sl+1:11*prm%sum_N_sl) < 0.0_pReal)) & extmsg = trim(extmsg)//' atol_gamma' - plasticState(p)%slipRate => plasticState(p)%dotState (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:NipcMyPhase) + plasticState(p)%slipRate => plasticState(p)%dotState (10*prm%sum_N_sl + 1:11*prm%sum_N_sl,1:Nconstituents) - stt%rho_forest => plasticState(p)%state (11*prm%sum_N_sl + 1:12*prm%sum_N_sl,1:NipcMyPhase) - stt%v => plasticState(p)%state (12*prm%sum_N_sl + 1:16*prm%sum_N_sl,1:NipcMyPhase) - stt%v_edg_pos => plasticState(p)%state (12*prm%sum_N_sl + 1:13*prm%sum_N_sl,1:NipcMyPhase) - stt%v_edg_neg => plasticState(p)%state (13*prm%sum_N_sl + 1:14*prm%sum_N_sl,1:NipcMyPhase) - stt%v_scr_pos => plasticState(p)%state (14*prm%sum_N_sl + 1:15*prm%sum_N_sl,1:NipcMyPhase) - stt%v_scr_neg => plasticState(p)%state (15*prm%sum_N_sl + 1:16*prm%sum_N_sl,1:NipcMyPhase) + stt%rho_forest => plasticState(p)%state (11*prm%sum_N_sl + 1:12*prm%sum_N_sl,1:Nconstituents) + stt%v => plasticState(p)%state (12*prm%sum_N_sl + 1:16*prm%sum_N_sl,1:Nconstituents) + stt%v_edg_pos => plasticState(p)%state (12*prm%sum_N_sl + 1:13*prm%sum_N_sl,1:Nconstituents) + stt%v_edg_neg => plasticState(p)%state (13*prm%sum_N_sl + 1:14*prm%sum_N_sl,1:Nconstituents) + stt%v_scr_pos => plasticState(p)%state (14*prm%sum_N_sl + 1:15*prm%sum_N_sl,1:Nconstituents) + stt%v_scr_neg => plasticState(p)%state (15*prm%sum_N_sl + 1:16*prm%sum_N_sl,1:Nconstituents) - allocate(dst%tau_pass(prm%sum_N_sl,NipcMyPhase),source=0.0_pReal) - allocate(dst%tau_back(prm%sum_N_sl,NipcMyPhase),source=0.0_pReal) + allocate(dst%tau_pass(prm%sum_N_sl,Nconstituents),source=0.0_pReal) + allocate(dst%tau_back(prm%sum_N_sl,Nconstituents),source=0.0_pReal) end associate - if (NipcMyPhase > 0) call stateInit(ini,p,NipcMyPhase) + if (Nconstituents > 0) call stateInit(ini,p,Nconstituents,i) plasticState(p)%state0 = plasticState(p)%state !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_NONLOCAL_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(nonlocal)') enddo allocate(compatibility(2,maxval(param%sum_N_sl),maxval(param%sum_N_sl),nIPneighbors,& - discretization_nIP,discretization_nElem), source=0.0_pReal) + discretization_nIPs,discretization_Nelems), source=0.0_pReal) ! BEGIN DEPRECATED---------------------------------------------------------------------------------- - allocate(iRhoU(maxval(param%sum_N_sl),4,Ninstance), source=0) - allocate(iV(maxval(param%sum_N_sl),4,Ninstance), source=0) - allocate(iD(maxval(param%sum_N_sl),2,Ninstance), source=0) + allocate(iRhoU(maxval(param%sum_N_sl),4,Ninstances), source=0) + allocate(iV(maxval(param%sum_N_sl),4,Ninstances), source=0) + allocate(iD(maxval(param%sum_N_sl),2,Ninstances), source=0) - initializeInstances: do p = 1, size(phase_plasticity) - NipcMyPhase = count(material_phaseAt==p) * discretization_nIP - myPhase2: if (phase_plasticity(p) == PLASTICITY_NONLOCAL_ID) then - l = 0 - do t = 1,4 - do s = 1,param(phase_plasticityInstance(p))%sum_N_sl - l = l + 1 - iRhoU(s,t,phase_plasticityInstance(p)) = l - enddo - enddo - l = l + (4+2+1+1)*param(phase_plasticityInstance(p))%sum_N_sl ! immobile(4), dipole(2), shear, forest - do t = 1,4 - do s = 1,param(phase_plasticityInstance(p))%sum_N_sl - l = l + 1 - iV(s,t,phase_plasticityInstance(p)) = l - enddo - enddo - do t = 1,2 - do s = 1,param(phase_plasticityInstance(p))%sum_N_sl - l = l + 1 - iD(s,t,phase_plasticityInstance(p)) = l - enddo - enddo - if (iD(param(phase_plasticityInstance(p))%sum_N_sl,2,phase_plasticityInstance(p)) /= plasticState(p)%sizeState) & - call IO_error(0, ext_msg = 'state indices not properly set ('//PLASTICITY_NONLOCAL_LABEL//')') - endif myPhase2 - enddo initializeInstances + i = 0 + do p = 1, phases%length + phase => phases%get(p) -end subroutine plastic_nonlocal_init + if(.not. myPlasticity(p)) cycle + i = i + 1 + + Nconstituents = count(material_phaseAt==p) * discretization_nIPs + l = 0 + do t = 1,4 + do s = 1,param(i)%sum_N_sl + l = l + 1 + iRhoU(s,t,i) = l + enddo + enddo + l = l + (4+2+1+1)*param(i)%sum_N_sl ! immobile(4), dipole(2), shear, forest + do t = 1,4 + do s = 1,param(i)%sum_N_sl + l = l + 1 + iV(s,t,i) = l + enddo + enddo + do t = 1,2 + do s = 1,param(i)%sum_N_sl + l = l + 1 + iD(s,t,i) = l + enddo + enddo + if (iD(param(i)%sum_N_sl,2,i) /= plasticState(p)%sizeState) & + call IO_error(0, ext_msg = 'state indices not properly set (nonlocal)') + enddo + +end function plastic_nonlocal_init !-------------------------------------------------------------------------------------------------- @@ -592,16 +620,16 @@ module subroutine plastic_nonlocal_dependentState(F, Fp, instance, of, ip, el) ! coefficients are corrected for the line tension effect ! (see Kubin,Devincre,Hoc; 2008; Modeling dislocation storage rates and mean free paths in face-centered cubic crystals) if (any(lattice_structure(material_phaseAt(1,el)) == [LATTICE_bcc_ID,LATTICE_fcc_ID])) then - myInteractionMatrix = prm%interactionSlipSlip & - * spread(( 1.0_pReal - prm%linetensionEffect & - + prm%linetensionEffect & - * log(0.35_pReal * prm%burgers * sqrt(max(stt%rho_forest(:,of),prm%significantRho))) & - / log(0.35_pReal * prm%burgers * 1e6_pReal))** 2.0_pReal,2,prm%sum_N_sl) + myInteractionMatrix = prm%h_sl_sl & + * spread(( 1.0_pReal - prm%f_F & + + prm%f_F & + * log(0.35_pReal * prm%b_sl * sqrt(max(stt%rho_forest(:,of),prm%rho_significant))) & + / log(0.35_pReal * prm%b_sl * 1e6_pReal))** 2.0_pReal,2,prm%sum_N_sl) else - myInteractionMatrix = prm%interactionSlipSlip + myInteractionMatrix = prm%h_sl_sl endif - dst%tau_pass(:,of) = prm%mu * prm%burgers & + dst%tau_pass(:,of) = prm%mu * prm%b_sl & * sqrt(matmul(myInteractionMatrix,sum(abs(rho),2))) !*** calculate the dislocation stress of the neighboring excess dislocation densities @@ -703,20 +731,20 @@ module subroutine plastic_nonlocal_dependentState(F, Fp, instance, of, ip, el) where(rhoTotal > 0.0_pReal) rhoExcessGradient_over_rho = rhoExcessGradient / rhoTotal ! ... gives the local stress correction when multiplied with a factor - dst%tau_back(s,of) = - prm%mu * prm%burgers(s) / (2.0_pReal * PI) & + dst%tau_back(s,of) = - prm%mu * prm%b_sl(s) / (2.0_pReal * PI) & * ( rhoExcessGradient_over_rho(1) / (1.0_pReal - prm%nu) & + rhoExcessGradient_over_rho(2)) enddo endif #ifdef DEBUG - if (iand(debug_level(debug_constitutive),debug_levelExtensive) /= 0 & - .and. ((debug_e == el .and. debug_i == ip)& - .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0)) then - write(6,'(/,a,i8,1x,i2,1x,i1,/)') '<< CONST >> nonlocal_microstructure at el ip ',el,ip - write(6,'(a,/,12x,12(e10.3,1x))') '<< CONST >> rhoForest', stt%rho_forest(:,of) - write(6,'(a,/,12x,12(f10.5,1x))') '<< CONST >> tauThreshold / MPa', dst%tau_pass(:,of)*1e-6 - write(6,'(a,/,12x,12(f10.5,1x),/)') '<< CONST >> tauBack / MPa', dst%tau_back(:,of)*1e-6 + if (debugConstitutive%extensive & + .and. ((debugConstitutive%element == el .and. debugConstitutive%ip == ip)& + .or. .not. debugConstitutive%selective)) then + print'(/,a,i8,1x,i2,1x,i1,/)', '<< CONST >> nonlocal_microstructure at el ip ',el,ip + print'(a,/,12x,12(e10.3,1x))', '<< CONST >> rhoForest', stt%rho_forest(:,of) + print'(a,/,12x,12(f10.5,1x))', '<< CONST >> tauThreshold / MPa', dst%tau_pass(:,of)*1e-6 + print'(a,/,12x,12(f10.5,1x),/)', '<< CONST >> tauBack / MPa', dst%tau_back(:,of)*1e-6 endif #endif @@ -813,7 +841,7 @@ module subroutine plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp, & forall (s = 1:ns, t = 5:8, rhoSgl(s,t) * v(s,t-4) < 0.0_pReal) & rhoSgl(s,t-4) = rhoSgl(s,t-4) + abs(rhoSgl(s,t)) - gdotTotal = sum(rhoSgl(:,1:4) * v, 2) * prm%burgers + gdotTotal = sum(rhoSgl(:,1:4) * v, 2) * prm%b_sl Lp = 0.0_pReal dLp_dMp = 0.0_pReal @@ -822,10 +850,10 @@ module subroutine plastic_nonlocal_LpAndItsTangent(Lp,dLp_dMp, & forall (i=1:3,j=1:3,k=1:3,l=1:3) & dLp_dMp(i,j,k,l) = dLp_dMp(i,j,k,l) & + prm%Schmid(i,j,s) * prm%Schmid(k,l,s) & - * sum(rhoSgl(s,1:4) * dv_dtau(s,1:4)) * prm%burgers(s) & + * sum(rhoSgl(s,1:4) * dv_dtau(s,1:4)) * prm%b_sl(s) & + prm%Schmid(i,j,s) & * ( prm%nonSchmid_pos(k,l,s) * rhoSgl(s,3) * dv_dtauNS(s,3) & - - prm%nonSchmid_neg(k,l,s) * rhoSgl(s,4) * dv_dtauNS(s,4)) * prm%burgers(s) + - prm%nonSchmid_neg(k,l,s) * rhoSgl(s,4) * dv_dtauNS(s,4)) * prm%b_sl(s) enddo end associate @@ -901,8 +929,8 @@ module subroutine plastic_nonlocal_deltaState(Mp,instance,of,ip,el) if (abs(tau(s)) < 1.0e-15_pReal) tau(s) = 1.0e-15_pReal enddo - dUpper(:,1) = prm%mu * prm%burgers/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) - dUpper(:,2) = prm%mu * prm%burgers/(4.0_pReal * PI * abs(tau)) + dUpper(:,1) = prm%mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) + dUpper(:,2) = prm%mu * prm%b_sl/(4.0_pReal * PI * abs(tau)) where(dNeq0(sqrt(sum(abs(rho(:,edg)),2)))) & dUpper(:,1) = min(1.0_pReal/sqrt(sum(abs(rho(:,edg)),2)),dUpper(:,1)) @@ -927,11 +955,11 @@ module subroutine plastic_nonlocal_deltaState(Mp,instance,of,ip,el) del%rho(:,of) = reshape(deltaRhoRemobilization + deltaRhoDipole2SingleStress, [10*ns]) #ifdef DEBUG - if (iand(debug_level(debug_constitutive),debug_levelExtensive) /= 0 & - .and. ((debug_e == el .and. debug_i == ip)& - .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0 )) then - write(6,'(a,/,8(12x,12(e12.5,1x),/))') '<< CONST >> dislocation remobilization', deltaRhoRemobilization(:,1:8) - write(6,'(a,/,10(12x,12(e12.5,1x),/),/)') '<< CONST >> dipole dissociation by stress increase', deltaRhoDipole2SingleStress + if (debugConstitutive%extensive & + .and. ((debugConstitutive%element == el .and. debugConstitutive%ip == ip)& + .or. .not. debugConstitutive%selective)) then + print'(a,/,8(12x,12(e12.5,1x),/))', '<< CONST >> dislocation remobilization', deltaRhoRemobilization(:,1:8) + print'(a,/,10(12x,12(e12.5,1x),/),/)', '<< CONST >> dipole dissociation by stress increase', deltaRhoDipole2SingleStress endif #endif @@ -948,7 +976,7 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & real(pReal), dimension(3,3), intent(in) :: & Mp !< MandelStress - real(pReal), dimension(3,3,homogenization_maxNgrains,discretization_nIP,discretization_nElem), intent(in) :: & + real(pReal), dimension(3,3,homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems), intent(in) :: & F, & !< elastic deformation gradient Fp !< plastic deformation gradient real(pReal), intent(in) :: & @@ -1013,14 +1041,14 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & my_rhoSgl0 = rho0(:,sgl) forall (s = 1:ns, t = 1:4) v(s,t) = plasticState(ph)%state(iV(s,t,instance),of) - gdot = rhoSgl(:,1:4) * v * spread(prm%burgers,2,4) + gdot = rhoSgl(:,1:4) * v * spread(prm%b_sl,2,4) #ifdef DEBUG - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0 & - .and. ((debug_e == el .and. debug_i == ip)& - .or. .not. iand(debug_level(debug_constitutive),debug_levelSelective) /= 0 )) then - write(6,'(a,/,10(12x,12(e12.5,1x),/))') '<< CONST >> rho / 1/m^2', rhoSgl, rhoDip - write(6,'(a,/,4(12x,12(e12.5,1x),/))') '<< CONST >> gdot / 1/s',gdot + if (debugConstitutive%basic & + .and. ((debugConstitutive%element == el .and. debugConstitutive%ip == ip) & + .or. .not. debugConstitutive%selective)) then + print'(a,/,10(12x,12(e12.5,1x),/))', '<< CONST >> rho / 1/m^2', rhoSgl, rhoDip + print'(a,/,4(12x,12(e12.5,1x),/))', '<< CONST >> gdot / 1/s',gdot endif #endif @@ -1032,8 +1060,8 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & enddo dLower = prm%minDipoleHeight - dUpper(:,1) = prm%mu * prm%burgers/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) - dUpper(:,2) = prm%mu * prm%burgers/(4.0_pReal * PI * abs(tau)) + dUpper(:,1) = prm%mu * prm%b_sl/(8.0_pReal * PI * (1.0_pReal - prm%nu) * abs(tau)) + dUpper(:,2) = prm%mu * prm%b_sl/(4.0_pReal * PI * abs(tau)) where(dNeq0(sqrt(sum(abs(rho(:,edg)),2)))) & dUpper(:,1) = min(1.0_pReal/sqrt(sum(abs(rho(:,edg)),2)),dUpper(:,1)) @@ -1047,18 +1075,18 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & rhoDotMultiplication = 0.0_pReal isBCC: if (lattice_structure(ph) == LATTICE_bcc_ID) then forall (s = 1:ns, sum(abs(v(s,1:4))) > 0.0_pReal) - rhoDotMultiplication(s,1:2) = sum(abs(gdot(s,3:4))) / prm%burgers(s) & ! assuming double-cross-slip of screws to be decisive for multiplication - * sqrt(stt%rho_forest(s,of)) / prm%lambda0(s) ! & ! mean free path + rhoDotMultiplication(s,1:2) = sum(abs(gdot(s,3:4))) / prm%b_sl(s) & ! assuming double-cross-slip of screws to be decisive for multiplication + * sqrt(stt%rho_forest(s,of)) / prm%i_sl(s) ! & ! mean free path ! * 2.0_pReal * sum(abs(v(s,3:4))) / sum(abs(v(s,1:4))) ! ratio of screw to overall velocity determines edge generation - rhoDotMultiplication(s,3:4) = sum(abs(gdot(s,3:4))) /prm%burgers(s) & ! assuming double-cross-slip of screws to be decisive for multiplication - * sqrt(stt%rho_forest(s,of)) / prm%lambda0(s) ! & ! mean free path + rhoDotMultiplication(s,3:4) = sum(abs(gdot(s,3:4))) /prm%b_sl(s) & ! assuming double-cross-slip of screws to be decisive for multiplication + * sqrt(stt%rho_forest(s,of)) / prm%i_sl(s) ! & ! mean free path ! * 2.0_pReal * sum(abs(v(s,1:2))) / sum(abs(v(s,1:4))) ! ratio of edge to overall velocity determines screw generation endforall else isBCC rhoDotMultiplication(:,1:4) = spread( & - (sum(abs(gdot(:,1:2)),2) * prm%fEdgeMultiplication + sum(abs(gdot(:,3:4)),2)) & - * sqrt(stt%rho_forest(:,of)) / prm%lambda0 / prm%burgers, 2, 4) + (sum(abs(gdot(:,1:2)),2) * prm%f_ed_mult + sum(abs(gdot(:,3:4)),2)) & + * sqrt(stt%rho_forest(:,of)) / prm%i_sl / prm%b_sl, 2, 4) endif isBCC forall (s = 1:ns, t = 1:4) v0(s,t) = plasticState(ph)%state0(iV(s,t,instance),of) @@ -1069,20 +1097,20 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & !*** formation by glide do c = 1,2 - rhoDotSingle2DipoleGlide(:,2*c-1) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c-1) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * ( rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) & ! negative mobile --> positive mobile + rhoSgl(:,2*c) * abs(gdot(:,2*c-1)) & ! positive mobile --> negative mobile + abs(rhoSgl(:,2*c+4)) * abs(gdot(:,2*c-1))) ! positive mobile --> negative immobile - rhoDotSingle2DipoleGlide(:,2*c) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * ( rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) & ! negative mobile --> positive mobile + rhoSgl(:,2*c) * abs(gdot(:,2*c-1)) & ! positive mobile --> negative mobile + abs(rhoSgl(:,2*c+3)) * abs(gdot(:,2*c))) ! negative mobile --> positive immobile - rhoDotSingle2DipoleGlide(:,2*c+3) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c+3) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * rhoSgl(:,2*c+3) * abs(gdot(:,2*c)) ! negative mobile --> positive immobile - rhoDotSingle2DipoleGlide(:,2*c+4) = -2.0_pReal * dUpper(:,c) / prm%burgers & + rhoDotSingle2DipoleGlide(:,2*c+4) = -2.0_pReal * dUpper(:,c) / prm%b_sl & * rhoSgl(:,2*c+4) * abs(gdot(:,2*c-1)) ! positive mobile --> negative immobile rhoDotSingle2DipoleGlide(:,c+8) = abs(rhoDotSingle2DipoleGlide(:,2*c+3)) & @@ -1095,27 +1123,27 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & !*** athermal annihilation rhoDotAthermalAnnihilation = 0.0_pReal forall (c=1:2) & - rhoDotAthermalAnnihilation(:,c+8) = -2.0_pReal * dLower(:,c) / prm%burgers & - * ( 2.0_pReal * (rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) + rhoSgl(:,2*c) * abs(gdot(:,2*c-1))) & ! was single hitting single + rhoDotAthermalAnnihilation(:,c+8) = -2.0_pReal * dLower(:,c) / prm%b_sl & + * ( 2.0_pReal * (rhoSgl(:,2*c-1) * abs(gdot(:,2*c)) + rhoSgl(:,2*c) * abs(gdot(:,2*c-1))) & ! was single hitting single + 2.0_pReal * (abs(rhoSgl(:,2*c+3)) * abs(gdot(:,2*c)) + abs(rhoSgl(:,2*c+4)) * abs(gdot(:,2*c-1))) & ! was single hitting immobile single or was immobile single hit by single - + rhoDip(:,c) * (abs(gdot(:,2*c-1)) + abs(gdot(:,2*c)))) ! single knocks dipole constituent + + rhoDip(:,c) * (abs(gdot(:,2*c-1)) + abs(gdot(:,2*c)))) ! single knocks dipole constituent ! annihilated screw dipoles leave edge jogs behind on the colinear system if (lattice_structure(ph) == LATTICE_fcc_ID) & forall (s = 1:ns, prm%colinearSystem(s) > 0) & rhoDotAthermalAnnihilation(prm%colinearSystem(s),1:2) = - rhoDotAthermalAnnihilation(s,10) & - * 0.25_pReal * sqrt(stt%rho_forest(s,of)) * (dUpper(s,2) + dLower(s,2)) * prm%edgeJogFactor + * 0.25_pReal * sqrt(stt%rho_forest(s,of)) * (dUpper(s,2) + dLower(s,2)) * prm%f_ed !*** thermally activated annihilation of edge dipoles by climb rhoDotThermalAnnihilation = 0.0_pReal - selfDiffusion = prm%Dsd0 * exp(-prm%selfDiffusionEnergy / (kB * Temperature)) - vClimb = prm%atomicVolume * selfDiffusion * prm%mu & + selfDiffusion = prm%D_0 * exp(-prm%Q_cl / (kB * Temperature)) + vClimb = prm%V_at * selfDiffusion * prm%mu & / ( kB * Temperature * PI * (1.0_pReal-prm%nu) * (dUpper(:,1) + dLower(:,1))) forall (s = 1:ns, dUpper(s,1) > dLower(s,1)) & rhoDotThermalAnnihilation(s,9) = max(- 4.0_pReal * rhoDip(s,1) * vClimb(s) / (dUpper(s,1) - dLower(s,1)), & - rhoDip(s,1) / timestep - rhoDotAthermalAnnihilation(s,9) & - - rhoDotSingle2DipoleGlide(s,9)) ! make sure that we do not annihilate more dipoles than we have + - rhoDotSingle2DipoleGlide(s,9)) ! make sure that we do not annihilate more dipoles than we have rhoDot = rhoDotFlux(F,Fp,timestep, instance,of,ip,el) & + rhoDotMultiplication & @@ -1127,9 +1155,9 @@ module subroutine plastic_nonlocal_dotState(Mp, F, Fp, Temperature,timestep, & if ( any(rho(:,mob) + rhoDot(:,1:4) * timestep < -prm%atol_rho) & .or. any(rho(:,dip) + rhoDot(:,9:10) * timestep < -prm%atol_rho)) then #ifdef DEBUG - if (iand(debug_level(debug_constitutive),debug_levelExtensive) /= 0) then - write(6,'(a,i5,a,i2)') '<< CONST >> evolution rate leads to negative density at el ',el,' ip ',ip - write(6,'(a)') '<< CONST >> enforcing cutback !!!' + if (debugConstitutive%extensive) then + print'(a,i5,a,i2)', '<< CONST >> evolution rate leads to negative density at el ',el,' ip ',ip + print'(a)', '<< CONST >> enforcing cutback !!!' endif #endif plasticState(ph)%dotState = IEEE_value(1.0_pReal,IEEE_quiet_NaN) @@ -1148,7 +1176,7 @@ end subroutine plastic_nonlocal_dotState !--------------------------------------------------------------------------------------------------- function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) - real(pReal), dimension(3,3,homogenization_maxNgrains,discretization_nIP,discretization_nElem), intent(in) :: & + real(pReal), dimension(3,3,homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems), intent(in) :: & F, & !< elastic deformation gradient Fp !< plastic deformation gradient real(pReal), intent(in) :: & @@ -1224,7 +1252,7 @@ function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) my_rhoSgl0 = rho0(:,sgl) forall (s = 1:ns, t = 1:4) v(s,t) = plasticState(ph)%state(iV(s,t,instance),of) !ToDo: MD: I think we should use state0 here - gdot = rhoSgl(:,1:4) * v * spread(prm%burgers,2,4) + gdot = rhoSgl(:,1:4) * v * spread(prm%b_sl,2,4) forall (s = 1:ns, t = 1:4) v0(s,t) = plasticState(ph)%state0(iV(s,t,instance),of) @@ -1236,17 +1264,17 @@ function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) !*** check CFL (Courant-Friedrichs-Lewy) condition for flux if (any( abs(gdot) > 0.0_pReal & ! any active slip system ... - .and. prm%CFLfactor * abs(v0) * timestep & + .and. prm%f_c * abs(v0) * timestep & > IPvolume(ip,el) / maxval(IParea(:,ip,el)))) then ! ...with velocity above critical value (we use the reference volume and area for simplicity here) #ifdef DEBUG - if (iand(debug_level(debug_constitutive),debug_levelExtensive) /= 0) then - write(6,'(a,i5,a,i2)') '<< CONST >> CFL condition not fullfilled at el ',el,' ip ',ip - write(6,'(a,e10.3,a,e10.3)') '<< CONST >> velocity is at ', & + if (debugConstitutive%extensive) then + print'(a,i5,a,i2)', '<< CONST >> CFL condition not fullfilled at el ',el,' ip ',ip + print'(a,e10.3,a,e10.3)', '<< CONST >> velocity is at ', & maxval(abs(v0), abs(gdot) > 0.0_pReal & - .and. prm%CFLfactor * abs(v0) * timestep & + .and. prm%f_c * abs(v0) * timestep & > IPvolume(ip,el) / maxval(IParea(:,ip,el))), & ' at a timestep of ',timestep - write(6,'(a)') '<< CONST >> enforcing cutback !!!' + print*, '<< CONST >> enforcing cutback !!!' endif #endif rhoDotFlux = IEEE_value(1.0_pReal,IEEE_quiet_NaN) ! enforce cutback @@ -1306,8 +1334,8 @@ function rhoDotFlux(F,Fp,timestep, instance,of,ip,el) neighbor_rhoSgl0(s,t) = max(plasticState(np)%state0(iRhoU(s,t,neighbor_instance),no),0.0_pReal) endforall - where (neighbor_rhoSgl0 * IPvolume(neighbor_ip,neighbor_el) ** 0.667_pReal < prm%significantN & - .or. neighbor_rhoSgl0 < prm%significantRho) & + where (neighbor_rhoSgl0 * IPvolume(neighbor_ip,neighbor_el) ** 0.667_pReal < prm%rho_min & + .or. neighbor_rhoSgl0 < prm%rho_significant) & neighbor_rhoSgl0 = 0.0_pReal normal_neighbor2me_defConf = math_det33(Favg) * matmul(math_inv33(transpose(Favg)), & IPareaNormal(1:3,neighbor_n,neighbor_ip,neighbor_el)) ! normal of the interface in (average) deformed configuration (pointing neighbor => me) @@ -1388,7 +1416,7 @@ end function rhoDotFlux !-------------------------------------------------------------------------------------------------- module subroutine plastic_nonlocal_updateCompatibility(orientation,instance,i,e) - type(rotation), dimension(1,discretization_nIP,discretization_nElem), intent(in) :: & + type(rotation), dimension(1,discretization_nIPs,discretization_Nelems), intent(in) :: & orientation ! crystal orientation integer, intent(in) :: & instance, & @@ -1432,7 +1460,7 @@ module subroutine plastic_nonlocal_updateCompatibility(orientation,instance,i,e) if (neighbor_e <= 0 .or. neighbor_i <= 0) then !* FREE SURFACE !* Set surface transmissivity to the value specified in the material.config - forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%surfaceTransmissivity) + forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%chi_surface) elseif (neighbor_phase /= ph) then !* PHASE BOUNDARY !* If we encounter a different nonlocal phase at the neighbor, @@ -1441,12 +1469,13 @@ module subroutine plastic_nonlocal_updateCompatibility(orientation,instance,i,e) !* we do not consider this to be a phase boundary, so completely compatible. if (.not. phase_localPlasticity(neighbor_phase) .and. .not. phase_localPlasticity(ph)) & forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = 0.0_pReal - elseif (prm%grainboundaryTransmissivity >= 0.0_pReal) then + elseif (prm%chi_GB >= 0.0_pReal) then !* GRAIN BOUNDARY ! !* fixed transmissivity for adjacent ips with different texture (only if explicitly given in material.config) - if (material_texture(1,i,e) /= material_texture(1,neighbor_i,neighbor_e) .and. & + if (any(dNeq(material_orientation0(1,i,e)%asQuaternion(), & + material_orientation0(1,neighbor_i,neighbor_e)%asQuaternion())) .and. & (.not. phase_localPlasticity(neighbor_phase))) & - forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%grainboundaryTransmissivity) + forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%chi_GB) else !* GRAIN BOUNDARY ? !* Compatibility defined by relative orientation of slip systems: @@ -1511,56 +1540,56 @@ module subroutine plastic_nonlocal_results(instance,group) associate(prm => param(instance),dst => microstructure(instance),stt=>state(instance)) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case('rho_sgl_mob_edg_pos') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_edg_pos, 'rho_sgl_mob_edg_pos', & + case('rho_u_ed_pos') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_edg_pos, trim(prm%output(o)), & 'positive mobile edge density','1/m²') - case('rho_sgl_imm_edg_pos') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_edg_pos, 'rho_sgl_imm_edg_pos',& + case('rho_b_ed_pos') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_edg_pos, trim(prm%output(o)), & 'positive immobile edge density','1/m²') - case('rho_sgl_mob_edg_neg') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_edg_neg, 'rho_sgl_mob_edg_neg',& + case('rho_u_ed_neg') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_edg_neg, trim(prm%output(o)), & 'negative mobile edge density','1/m²') - case('rho_sgl_imm_edg_neg') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_edg_neg, 'rho_sgl_imm_edg_neg',& + case('rho_b_ed_neg') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_edg_neg, trim(prm%output(o)), & 'negative immobile edge density','1/m²') - case('rho_dip_edg') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip_edg, 'rho_dip_edg',& + case('rho_d_ed') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip_edg, trim(prm%output(o)), & 'edge dipole density','1/m²') - case('rho_sgl_mob_scr_pos') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_scr_pos, 'rho_sgl_mob_scr_pos',& + case('rho_u_sc_pos') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_scr_pos, trim(prm%output(o)), & 'positive mobile screw density','1/m²') - case('rho_sgl_imm_scr_pos') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_scr_pos, 'rho_sgl_imm_scr_pos',& + case('rho_b_sc_pos') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_scr_pos, trim(prm%output(o)), & 'positive immobile screw density','1/m²') - case('rho_sgl_mob_scr_neg') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_scr_neg, 'rho_sgl_mob_scr_neg',& + case('rho_u_sc_neg') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_mob_scr_neg, trim(prm%output(o)), & 'negative mobile screw density','1/m²') - case('rho_sgl_imm_scr_neg') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_scr_neg, 'rho_sgl_imm_scr_neg',& + case('rho_b_sc_neg') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_sgl_imm_scr_neg, trim(prm%output(o)), & 'negative immobile screw density','1/m²') - case('rho_dip_scr') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip_scr, 'rho_dip_scr',& + case('rho_d_sc') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_dip_scr, trim(prm%output(o)), & 'screw dipole density','1/m²') - case('rho_forest') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_forest, 'rho_forest',& + case('rho_f') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%rho_forest, trim(prm%output(o)), & 'forest density','1/m²') - case('v_edg_pos') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_edg_pos, 'v_edg_pos',& + case('v_ed_pos') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_edg_pos, trim(prm%output(o)), & 'positive edge velocity','m/s') - case('v_edg_neg') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_edg_neg, 'v_edg_neg',& + case('v_ed_neg') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_edg_neg, trim(prm%output(o)), & 'negative edge velocity','m/s') - case('v_scr_pos') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_scr_pos, 'v_scr_pos',& + case('v_sc_pos') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_scr_pos, trim(prm%output(o)), & 'positive srew velocity','m/s') - case('v_scr_neg') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_scr_neg, 'v_scr_neg',& + case('v_sc_neg') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%v_scr_neg, trim(prm%output(o)), & 'negative screw velocity','m/s') case('gamma') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma,'gamma',& + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma, trim(prm%output(o)), & 'plastic shear','1') case('tau_pass') - if(prm%sum_N_sl>0) call results_writeDataset(group,dst%tau_pass,'tau_pass',& + if(prm%sum_N_sl>0) call results_writeDataset(group,dst%tau_pass, trim(prm%output(o)), & 'passing stress for slip','Pa') end select enddo outputsLoop @@ -1572,13 +1601,14 @@ end subroutine plastic_nonlocal_results !-------------------------------------------------------------------------------------------------- !> @brief populates the initial dislocation density !-------------------------------------------------------------------------------------------------- -subroutine stateInit(ini,phase,NipcMyPhase) +subroutine stateInit(ini,phase,Nconstituents,instance) type(tInitialParameters) :: & ini integer,intent(in) :: & phase, & - NipcMyPhase + Nconstituents, & + instance integer :: & e, & i, & @@ -1586,7 +1616,6 @@ subroutine stateInit(ini,phase,NipcMyPhase) from, & upto, & s, & - instance, & phasemember real(pReal), dimension(2) :: & noise, & @@ -1596,46 +1625,46 @@ subroutine stateInit(ini,phase,NipcMyPhase) totalVolume, & densityBinning, & minimumIpVolume - real(pReal), dimension(NipcMyPhase) :: & + real(pReal), dimension(Nconstituents) :: & volume - instance = phase_plasticityInstance(phase) + associate(stt => state(instance)) - if (ini%rhoSglRandom > 0.0_pReal) then ! randomly distribute dislocation segments on random slip system and of random type in the volume - do e = 1,discretization_nElem - do i = 1,discretization_nIP + if (ini%random_rho_u > 0.0_pReal) then ! randomly distribute dislocation segments on random slip system and of random type in the volume + do e = 1,discretization_Nelems + do i = 1,discretization_nIPs if (material_phaseAt(1,e) == phase) volume(material_phasememberAt(1,i,e)) = IPvolume(i,e) enddo enddo totalVolume = sum(volume) minimumIPVolume = minval(volume) - densityBinning = ini%rhoSglRandomBinning / minimumIpVolume ** (2.0_pReal / 3.0_pReal) + densityBinning = ini%random_rho_u_binning / minimumIpVolume ** (2.0_pReal / 3.0_pReal) ! fill random material points with dislocation segments until the desired overall density is reached meanDensity = 0.0_pReal - do while(meanDensity < ini%rhoSglRandom) + do while(meanDensity < ini%random_rho_u) call random_number(rnd) - phasemember = nint(rnd(1)*real(NipcMyPhase,pReal) + 0.5_pReal) + phasemember = nint(rnd(1)*real(Nconstituents,pReal) + 0.5_pReal) s = nint(rnd(2)*real(sum(ini%N_sl),pReal)*4.0_pReal + 0.5_pReal) meanDensity = meanDensity + densityBinning * volume(phasemember) / totalVolume stt%rhoSglMobile(s,phasemember) = densityBinning enddo else ! homogeneous distribution with noise - do e = 1, NipcMyPhase + do e = 1, Nconstituents do f = 1,size(ini%N_sl,1) from = 1 + sum(ini%N_sl(1:f-1)) upto = sum(ini%N_sl(1:f)) do s = from,upto - noise = [math_sampleGaussVar(0.0_pReal, ini%rhoSglScatter), & - math_sampleGaussVar(0.0_pReal, ini%rhoSglScatter)] - stt%rho_sgl_mob_edg_pos(s,e) = ini%rhoSglEdgePos0(f) + noise(1) - stt%rho_sgl_mob_edg_neg(s,e) = ini%rhoSglEdgeNeg0(f) + noise(1) - stt%rho_sgl_mob_scr_pos(s,e) = ini%rhoSglScrewPos0(f) + noise(2) - stt%rho_sgl_mob_scr_neg(s,e) = ini%rhoSglScrewNeg0(f) + noise(2) + noise = [math_sampleGaussVar(0.0_pReal, ini%sigma_rho_u), & + math_sampleGaussVar(0.0_pReal, ini%sigma_rho_u)] + stt%rho_sgl_mob_edg_pos(s,e) = ini%rho_u_ed_pos_0(f) + noise(1) + stt%rho_sgl_mob_edg_neg(s,e) = ini%rho_u_ed_neg_0(f) + noise(1) + stt%rho_sgl_mob_scr_pos(s,e) = ini%rho_u_sc_pos_0(f) + noise(2) + stt%rho_sgl_mob_scr_neg(s,e) = ini%rho_u_sc_neg_0(f) + noise(2) enddo - stt%rho_dip_edg(from:upto,e) = ini%rhoDipEdge0(f) - stt%rho_dip_scr(from:upto,e) = ini%rhoDipScrew0(f) + stt%rho_dip_edg(from:upto,e) = ini%rho_d_ed_0(f) + stt%rho_dip_scr(from:upto,e) = ini%rho_d_sc_0(f) enddo enddo endif @@ -1703,14 +1732,14 @@ pure subroutine kinetics(v, dv_dtau, dv_dtauNS, tau, tauNS, tauThreshold, c, Tem !* Effective stress includes non Schmid constributions !* The derivative only gives absolute values; the correct sign is taken care of in the formula for the derivative of the velocity tauEff = max(0.0_pReal, abs(tauNS(s)) - tauThreshold(s)) ! ensure that the effective stress is positive - meanfreepath_P = prm%burgers(s) - jumpWidth_P = prm%burgers(s) - activationLength_P = prm%doublekinkwidth *prm%burgers(s) - activationVolume_P = activationLength_P * jumpWidth_P * prm%burgers(s) + meanfreepath_P = prm%b_sl(s) + jumpWidth_P = prm%b_sl(s) + activationLength_P = prm%w *prm%b_sl(s) + activationVolume_P = activationLength_P * jumpWidth_P * prm%b_sl(s) criticalStress_P = prm%peierlsStress(s,c) activationEnergy_P = criticalStress_P * activationVolume_P tauRel_P = min(1.0_pReal, tauEff / criticalStress_P) ! ensure that the activation probability cannot become greater than one - tPeierls = 1.0_pReal / prm%fattack & + tPeierls = 1.0_pReal / prm%nu_a & * exp(activationEnergy_P / (kB * Temperature) & * (1.0_pReal - tauRel_P**prm%p)**prm%q) if (tauEff < criticalStress_P) then @@ -1723,14 +1752,14 @@ pure subroutine kinetics(v, dv_dtau, dv_dtauNS, tau, tauNS, tauThreshold, c, Tem !* Contribution from solid solution strengthening !* The derivative only gives absolute values; the correct sign is taken care of in the formula for the derivative of the velocity tauEff = abs(tau(s)) - tauThreshold(s) - meanfreepath_S = prm%burgers(s) / sqrt(prm%solidSolutionConcentration) - jumpWidth_S = prm%solidSolutionSize * prm%burgers(s) - activationLength_S = prm%burgers(s) / sqrt(prm%solidSolutionConcentration) - activationVolume_S = activationLength_S * jumpWidth_S * prm%burgers(s) - activationEnergy_S = prm%solidSolutionEnergy + meanfreepath_S = prm%b_sl(s) / sqrt(prm%c_sol) + jumpWidth_S = prm%f_sol * prm%b_sl(s) + activationLength_S = prm%b_sl(s) / sqrt(prm%c_sol) + activationVolume_S = activationLength_S * jumpWidth_S * prm%b_sl(s) + activationEnergy_S = prm%Q_sol criticalStress_S = activationEnergy_S / activationVolume_S tauRel_S = min(1.0_pReal, tauEff / criticalStress_S) ! ensure that the activation probability cannot become greater than one - tSolidSolution = 1.0_pReal / prm%fattack & + tSolidSolution = 1.0_pReal / prm%nu_a & * exp(activationEnergy_S / (kB * Temperature)* (1.0_pReal - tauRel_S**prm%p)**prm%q) if (tauEff < criticalStress_S) then dtSolidSolution_dtau = tSolidSolution * prm%p * prm%q * activationVolume_S / (kB * Temperature) & @@ -1741,7 +1770,7 @@ pure subroutine kinetics(v, dv_dtau, dv_dtauNS, tau, tauNS, tauThreshold, c, Tem !* viscous glide velocity tauEff = abs(tau(s)) - tauThreshold(s) - mobility = prm%burgers(s) / prm%viscosity + mobility = prm%b_sl(s) / prm%eta vViscous = mobility * tauEff !* Mean velocity results from waiting time at peierls barriers and solid solution obstacles with respective meanfreepath of @@ -1776,7 +1805,7 @@ pure function getRho(instance,of,ip,el) getRho(:,mob) = max(getRho(:,mob),0.0_pReal) getRho(:,dip) = max(getRho(:,dip),0.0_pReal) - where(abs(getRho) < max(prm%significantN/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%significantRho)) & + where(abs(getRho) < max(prm%rho_min/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & getRho = 0.0_pReal end associate @@ -1801,7 +1830,7 @@ pure function getRho0(instance,of,ip,el) getRho0(:,mob) = max(getRho0(:,mob),0.0_pReal) getRho0(:,dip) = max(getRho0(:,dip),0.0_pReal) - where(abs(getRho0) < max(prm%significantN/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%significantRho)) & + where(abs(getRho0) < max(prm%rho_min/IPvolume(ip,el)**(2.0_pReal/3.0_pReal),prm%rho_significant)) & getRho0 = 0.0_pReal end associate diff --git a/src/constitutive_plastic_phenopowerlaw.f90 b/src/constitutive_plastic_phenopowerlaw.f90 index 12a30478a..72fa0e9e6 100644 --- a/src/constitutive_plastic_phenopowerlaw.f90 +++ b/src/constitutive_plastic_phenopowerlaw.f90 @@ -4,32 +4,32 @@ !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH !> @brief phenomenological crystal plasticity formulation using a powerlaw fitting !-------------------------------------------------------------------------------------------------- -submodule(constitutive) plastic_phenopowerlaw +submodule(constitutive:constitutive_plastic) plastic_phenopowerlaw type :: tParameters real(pReal) :: & - gdot0_slip = 1.0_pReal, & !< reference shear strain rate for slip - gdot0_twin = 1.0_pReal, & !< reference shear strain rate for twin - n_slip = 1.0_pReal, & !< stress exponent for slip - n_twin = 1.0_pReal, & !< stress exponent for twin - spr = 1.0_pReal, & !< push-up factor for slip saturation due to twinning - c_1 = 1.0_pReal, & - c_2 = 1.0_pReal, & - c_3 = 1.0_pReal, & - c_4 = 1.0_pReal, & - h0_SlipSlip = 1.0_pReal, & !< reference hardening slip - slip - h0_TwinSlip = 1.0_pReal, & !< reference hardening twin - slip - h0_TwinTwin = 1.0_pReal, & !< reference hardening twin - twin - a_slip = 1.0_pReal + dot_gamma_0_sl = 1.0_pReal, & !< reference shear strain rate for slip + dot_gamma_0_tw = 1.0_pReal, & !< reference shear strain rate for twin + n_sl = 1.0_pReal, & !< stress exponent for slip + n_tw = 1.0_pReal, & !< stress exponent for twin + f_sl_sat_tw = 1.0_pReal, & !< push-up factor for slip saturation due to twinning + c_1 = 1.0_pReal, & + c_2 = 1.0_pReal, & + c_3 = 1.0_pReal, & + c_4 = 1.0_pReal, & + h_0_sl_sl = 1.0_pReal, & !< reference hardening slip - slip + h_0_tw_sl = 1.0_pReal, & !< reference hardening twin - slip + h_0_tw_tw = 1.0_pReal, & !< reference hardening twin - twin + a_sl = 1.0_pReal real(pReal), allocatable, dimension(:) :: & - xi_slip_sat, & !< maximum critical shear stress for slip - H_int, & !< per family hardening activity (optional) - gamma_twin_char !< characteristic shear for twins + xi_inf_sl, & !< maximum critical shear stress for slip + h_int, & !< per family hardening activity (optional) + gamma_tw_char !< characteristic shear for twins real(pReal), allocatable, dimension(:,:) :: & - interaction_SlipSlip, & !< slip resistance from slip activity - interaction_SlipTwin, & !< slip resistance from twin activity - interaction_TwinSlip, & !< twin resistance from slip activity - interaction_TwinTwin !< twin resistance from twin activity + h_sl_sl, & !< slip resistance from slip activity + h_sl_tw, & !< slip resistance from twin activity + h_tw_sl, & !< twin resistance from slip activity + h_tw_tw !< twin resistance from twin activity real(pReal), allocatable, dimension(:,:,:) :: & P_sl, & P_tw, & @@ -66,50 +66,61 @@ contains !> @brief Perform module initialization. !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -module subroutine plastic_phenopowerlaw_init +module function plastic_phenopowerlaw_init() result(myPlasticity) + logical, dimension(:), allocatable :: myPlasticity integer :: & - Ninstance, & + Ninstances, & p, i, & - NipcMyPhase, & + Nconstituents, & sizeState, sizeDotState, & startIndex, endIndex integer, dimension(:), allocatable :: & N_sl, N_tw real(pReal), dimension(:), allocatable :: & - xi_slip_0, & !< initial critical shear stress for slip - xi_twin_0, & !< initial critical shear stress for twin + xi_0_sl, & !< initial critical shear stress for slip + xi_0_tw, & !< initial critical shear stress for twin a !< non-Schmid coefficients character(len=pStringLen) :: & extmsg = '' + class(tNode), pointer :: & + phases, & + phase, & + pl - write(6,'(/,a)') ' <<<+- plastic_'//PLASTICITY_PHENOPOWERLAW_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- plastic_phenopowerlaw init -+>>>' - Ninstance = count(phase_plasticity == PLASTICITY_PHENOPOWERLAW_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + myPlasticity = plastic_active('phenopowerlaw') + Ninstances = count(myPlasticity) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - allocate(param(Ninstance)) - allocate(state(Ninstance)) - allocate(dotState(Ninstance)) + allocate(param(Ninstances)) + allocate(state(Ninstances)) + allocate(dotState(Ninstances)) - do p = 1, size(phase_plasticity) - if (phase_plasticity(p) /= PLASTICITY_PHENOPOWERLAW_ID) cycle - associate(prm => param(phase_plasticityInstance(p)), & - dot => dotState(phase_plasticityInstance(p)), & - stt => state(phase_plasticityInstance(p)), & - config => config_phase(p)) + phases => config_material%get('phase') + i = 0 + do p = 1, phases%length + phase => phases%get(p) + + if(.not. myPlasticity(p)) cycle + i = i + 1 + associate(prm => param(i), & + dot => dotState(i), & + stt => state(i)) + pl => phase%get('plasticity') !-------------------------------------------------------------------------------------------------- ! slip related parameters - N_sl = config%getInts('nslip',defaultVal=emptyIntArray) + N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) prm%sum_N_sl = sum(abs(N_sl)) slipActive: if (prm%sum_N_sl > 0) then - prm%P_sl = lattice_SchmidMatrix_slip(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) + prm%P_sl = lattice_SchmidMatrix_slip(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - if(trim(config%getString('lattice_structure')) == 'bcc') then - a = config%getFloats('nonschmid_coefficients',defaultVal = emptyRealArray) + if(phase%get_asString('lattice') == 'bcc') then + a = pl%get_asFloats('a_nonSchmid',defaultVal=emptyRealArray) if(size(a) > 0) prm%nonSchmidActive = .true. prm%nonSchmid_pos = lattice_nonSchmidMatrix(N_sl,a,+1) prm%nonSchmid_neg = lattice_nonSchmidMatrix(N_sl,a,-1) @@ -117,127 +128,133 @@ module subroutine plastic_phenopowerlaw_init prm%nonSchmid_pos = prm%P_sl prm%nonSchmid_neg = prm%P_sl endif - prm%interaction_SlipSlip = lattice_interaction_SlipBySlip(N_sl, & - config%getFloats('interaction_slipslip'), & - config%getString('lattice_structure')) + prm%h_sl_sl = lattice_interaction_SlipBySlip(N_sl, & + pl%get_asFloats('h_sl_sl'), & + phase%get_asString('lattice')) - xi_slip_0 = config%getFloats('tau0_slip', requiredSize=size(N_sl)) - prm%xi_slip_sat = config%getFloats('tausat_slip', requiredSize=size(N_sl)) - prm%H_int = config%getFloats('h_int', requiredSize=size(N_sl), & - defaultVal=[(0.0_pReal,i=1,size(N_sl))]) + xi_0_sl = pl%get_asFloats('xi_0_sl', requiredSize=size(N_sl)) + prm%xi_inf_sl = pl%get_asFloats('xi_inf_sl', requiredSize=size(N_sl)) + prm%h_int = pl%get_asFloats('h_int', requiredSize=size(N_sl), & + defaultVal=[(0.0_pReal,i=1,size(N_sl))]) - prm%gdot0_slip = config%getFloat('gdot0_slip') - prm%n_slip = config%getFloat('n_slip') - prm%a_slip = config%getFloat('a_slip') - prm%h0_SlipSlip = config%getFloat('h0_slipslip') + prm%dot_gamma_0_sl = pl%get_asFloat('dot_gamma_0_sl') + prm%n_sl = pl%get_asFloat('n_sl') + prm%a_sl = pl%get_asFloat('a_sl') + prm%h_0_sl_sl = pl%get_asFloat('h_0_sl_sl') ! expand: family => system - xi_slip_0 = math_expand(xi_slip_0, N_sl) - prm%xi_slip_sat = math_expand(prm%xi_slip_sat,N_sl) - prm%H_int = math_expand(prm%H_int, N_sl) + xi_0_sl = math_expand(xi_0_sl, N_sl) + prm%xi_inf_sl = math_expand(prm%xi_inf_sl,N_sl) + prm%h_int = math_expand(prm%h_int, N_sl) ! sanity checks - if ( prm%gdot0_slip <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_slip' - if ( prm%a_slip <= 0.0_pReal) extmsg = trim(extmsg)//' a_slip' - if ( prm%n_slip <= 0.0_pReal) extmsg = trim(extmsg)//' n_slip' - if (any(xi_slip_0 <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_0' - if (any(prm%xi_slip_sat <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_slip_sat' + if ( prm%dot_gamma_0_sl <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_sl' + if ( prm%a_sl <= 0.0_pReal) extmsg = trim(extmsg)//' a_sl' + if ( prm%n_sl <= 0.0_pReal) extmsg = trim(extmsg)//' n_sl' + if (any(xi_0_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_0_sl' + if (any(prm%xi_inf_sl <= 0.0_pReal)) extmsg = trim(extmsg)//' xi_inf_sl' else slipActive - xi_slip_0 = emptyRealArray - allocate(prm%xi_slip_sat,prm%H_int,source=emptyRealArray) - allocate(prm%interaction_SlipSlip(0,0)) + xi_0_sl = emptyRealArray + allocate(prm%xi_inf_sl,prm%h_int,source=emptyRealArray) + allocate(prm%h_sl_sl(0,0)) endif slipActive !-------------------------------------------------------------------------------------------------- ! twin related parameters - N_tw = config%getInts('ntwin', defaultVal=emptyIntArray) + N_tw = pl%get_asInts('N_tw', defaultVal=emptyIntArray) prm%sum_N_tw = sum(abs(N_tw)) twinActive: if (prm%sum_N_tw > 0) then - prm%P_tw = lattice_SchmidMatrix_twin(N_tw,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - prm%interaction_TwinTwin = lattice_interaction_TwinByTwin(N_tw,& - config%getFloats('interaction_twintwin'), & - config%getString('lattice_structure')) - prm%gamma_twin_char = lattice_characteristicShear_twin(N_tw,config%getString('lattice_structure'),& - config%getFloat('c/a')) + prm%P_tw = lattice_SchmidMatrix_twin(N_tw,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + prm%h_tw_tw = lattice_interaction_TwinByTwin(N_tw,& + pl%get_asFloats('h_tw_tw'), & + phase%get_asString('lattice')) + prm%gamma_tw_char = lattice_characteristicShear_twin(N_tw,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - xi_twin_0 = config%getFloats('tau0_twin',requiredSize=size(N_tw)) + xi_0_tw = pl%get_asFloats('xi_0_tw',requiredSize=size(N_tw)) - prm%c_1 = config%getFloat('twin_c',defaultVal=0.0_pReal) - prm%c_2 = config%getFloat('twin_b',defaultVal=1.0_pReal) - prm%c_3 = config%getFloat('twin_e',defaultVal=0.0_pReal) - prm%c_4 = config%getFloat('twin_d',defaultVal=0.0_pReal) - prm%gdot0_twin = config%getFloat('gdot0_twin') - prm%n_twin = config%getFloat('n_twin') - prm%spr = config%getFloat('s_pr') - prm%h0_TwinTwin = config%getFloat('h0_twintwin') + prm%c_1 = pl%get_asFloat('c_1',defaultVal=0.0_pReal) + prm%c_2 = pl%get_asFloat('c_2',defaultVal=1.0_pReal) + prm%c_3 = pl%get_asFloat('c_3',defaultVal=0.0_pReal) + prm%c_4 = pl%get_asFloat('c_4',defaultVal=0.0_pReal) + prm%dot_gamma_0_tw = pl%get_asFloat('dot_gamma_0_tw') + prm%n_tw = pl%get_asFloat('n_tw') + prm%f_sl_sat_tw = pl%get_asFloat('f_sl_sat_tw') + prm%h_0_tw_tw = pl%get_asFloat('h_0_tw_tw') ! expand: family => system - xi_twin_0 = math_expand(xi_twin_0,N_tw) + xi_0_tw = math_expand(xi_0_tw,N_tw) ! sanity checks - if (prm%gdot0_twin <= 0.0_pReal) extmsg = trim(extmsg)//' gdot0_twin' - if (prm%n_twin <= 0.0_pReal) extmsg = trim(extmsg)//' n_twin' + if (prm%dot_gamma_0_tw <= 0.0_pReal) extmsg = trim(extmsg)//' dot_gamma_0_tw' + if (prm%n_tw <= 0.0_pReal) extmsg = trim(extmsg)//' n_tw' else twinActive - xi_twin_0 = emptyRealArray - allocate(prm%gamma_twin_char,source=emptyRealArray) - allocate(prm%interaction_TwinTwin(0,0)) + xi_0_tw = emptyRealArray + allocate(prm%gamma_tw_char,source=emptyRealArray) + allocate(prm%h_tw_tw(0,0)) endif twinActive !-------------------------------------------------------------------------------------------------- ! slip-twin related parameters slipAndTwinActive: if (prm%sum_N_sl > 0 .and. prm%sum_N_tw > 0) then - prm%h0_TwinSlip = config%getFloat('h0_twinslip') - prm%interaction_SlipTwin = lattice_interaction_SlipByTwin(N_sl,N_tw,& - config%getFloats('interaction_sliptwin'), & - config%getString('lattice_structure')) - prm%interaction_TwinSlip = lattice_interaction_TwinBySlip(N_tw,N_sl,& - config%getFloats('interaction_twinslip'), & - config%getString('lattice_structure')) + prm%h_0_tw_sl = pl%get_asFloat('h_0_tw_sl') + prm%h_sl_tw = lattice_interaction_SlipByTwin(N_sl,N_tw,& + pl%get_asFloats('h_sl_tw'), & + phase%get_asString('lattice')) + prm%h_tw_sl = lattice_interaction_TwinBySlip(N_tw,N_sl,& + pl%get_asFloats('h_tw_sl'), & + phase%get_asString('lattice')) else slipAndTwinActive - allocate(prm%interaction_SlipTwin(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0 - allocate(prm%interaction_TwinSlip(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0 - prm%h0_TwinSlip = 0.0_pReal + allocate(prm%h_sl_tw(prm%sum_N_sl,prm%sum_N_tw)) ! at least one dimension is 0 + allocate(prm%h_tw_sl(prm%sum_N_tw,prm%sum_N_sl)) ! at least one dimension is 0 + prm%h_0_tw_sl = 0.0_pReal endif slipAndTwinActive !-------------------------------------------------------------------------------------------------- ! output pararameters - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) + +#if defined (__GFORTRAN__) + prm%output = output_asStrings(pl) +#else + prm%output = pl%get_asStrings('output',defaultVal=emptyStringArray) +#endif !-------------------------------------------------------------------------------------------------- ! allocate state arrays - NipcMyPhase = count(material_phaseAt == p) * discretization_nIP + Nconstituents = count(material_phaseAt == p) * discretization_nIPs sizeDotState = size(['xi_sl ','gamma_sl']) * prm%sum_N_sl & + size(['xi_tw ','gamma_tw']) * prm%sum_N_tw sizeState = sizeDotState - call material_allocateState(plasticState(p),NipcMyPhase,sizeState,sizeDotState,0) + + call constitutive_allocateState(plasticState(p),Nconstituents,sizeState,sizeDotState,0) !-------------------------------------------------------------------------------------------------- ! state aliases and initialization startIndex = 1 endIndex = prm%sum_N_sl stt%xi_slip => plasticState(p)%state (startIndex:endIndex,:) - stt%xi_slip = spread(xi_slip_0, 2, NipcMyPhase) + stt%xi_slip = spread(xi_0_sl, 2, Nconstituents) dot%xi_slip => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_xi',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi' startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_tw stt%xi_twin => plasticState(p)%state (startIndex:endIndex,:) - stt%xi_twin = spread(xi_twin_0, 2, NipcMyPhase) + stt%xi_twin = spread(xi_0_tw, 2, Nconstituents) dot%xi_twin => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_xi',defaultVal=1.0_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_xi',defaultVal=1.0_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_xi' startIndex = endIndex + 1 endIndex = endIndex + prm%sum_N_sl stt%gamma_slip => plasticState(p)%state (startIndex:endIndex,:) dot%gamma_slip => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_gamma',defaultVal=1.0e-6_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_gamma',defaultVal=1.0e-6_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_gamma' ! global alias plasticState(p)%slipRate => plasticState(p)%dotState(startIndex:endIndex,:) @@ -246,7 +263,7 @@ module subroutine plastic_phenopowerlaw_init endIndex = endIndex + prm%sum_N_tw stt%gamma_twin => plasticState(p)%state (startIndex:endIndex,:) dot%gamma_twin => plasticState(p)%dotState(startIndex:endIndex,:) - plasticState(p)%atol(startIndex:endIndex) = config%getFloat('atol_gamma',defaultVal=1.0e-6_pReal) + plasticState(p)%atol(startIndex:endIndex) = pl%get_asFloat('atol_gamma',defaultVal=1.0e-6_pReal) if(any(plasticState(p)%atol(startIndex:endIndex) < 0.0_pReal)) extmsg = trim(extmsg)//' atol_gamma' plasticState(p)%state0 = plasticState(p)%state ! ToDo: this could be done centrally @@ -255,11 +272,11 @@ module subroutine plastic_phenopowerlaw_init !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//PLASTICITY_PHENOPOWERLAW_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(phenopowerlaw)') enddo -end subroutine plastic_phenopowerlaw_init +end function plastic_phenopowerlaw_init !-------------------------------------------------------------------------------------------------- @@ -337,20 +354,20 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of) associate(prm => param(instance), stt => state(instance), dot => dotState(instance)) sumGamma = sum(stt%gamma_slip(:,of)) - sumF = sum(stt%gamma_twin(:,of)/prm%gamma_twin_char) + sumF = sum(stt%gamma_twin(:,of)/prm%gamma_tw_char) !-------------------------------------------------------------------------------------------------- ! system-independent (nonlinear) prefactors to M_Xx (X influenced by x) matrices - c_SlipSlip = prm%h0_slipslip * (1.0_pReal + prm%c_1*sumF** prm%c_2) - c_TwinSlip = prm%h0_TwinSlip * sumGamma**prm%c_3 - c_TwinTwin = prm%h0_TwinTwin * sumF**prm%c_4 + c_SlipSlip = prm%h_0_sl_sl * (1.0_pReal + prm%c_1*sumF** prm%c_2) + c_TwinSlip = prm%h_0_tw_sl * sumGamma**prm%c_3 + c_TwinTwin = prm%h_0_tw_tw * sumF**prm%c_4 !-------------------------------------------------------------------------------------------------- ! calculate left and right vectors - left_SlipSlip = 1.0_pReal + prm%H_int - xi_slip_sat_offset = prm%spr*sqrt(sumF) - right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) **prm%a_slip & - * sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_slip_sat+xi_slip_sat_offset)) + left_SlipSlip = 1.0_pReal + prm%h_int + xi_slip_sat_offset = prm%f_sl_sat_tw*sqrt(sumF) + right_SlipSlip = abs(1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset)) **prm%a_sl & + * sign(1.0_pReal,1.0_pReal-stt%xi_slip(:,of) / (prm%xi_inf_sl+xi_slip_sat_offset)) !-------------------------------------------------------------------------------------------------- ! shear rates @@ -361,11 +378,11 @@ module subroutine plastic_phenopowerlaw_dotState(Mp,instance,of) !-------------------------------------------------------------------------------------------------- ! hardening dot%xi_slip(:,of) = c_SlipSlip * left_SlipSlip * & - matmul(prm%interaction_SlipSlip,dot%gamma_slip(:,of)*right_SlipSlip) & - + matmul(prm%interaction_SlipTwin,dot%gamma_twin(:,of)) + matmul(prm%h_sl_sl,dot%gamma_slip(:,of)*right_SlipSlip) & + + matmul(prm%h_sl_tw,dot%gamma_twin(:,of)) - dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%interaction_TwinSlip,dot%gamma_slip(:,of)) & - + c_TwinTwin * matmul(prm%interaction_TwinTwin,dot%gamma_twin(:,of)) + dot%xi_twin(:,of) = c_TwinSlip * matmul(prm%h_tw_sl,dot%gamma_slip(:,of)) & + + c_TwinTwin * matmul(prm%h_tw_tw,dot%gamma_twin(:,of)) end associate end subroutine plastic_phenopowerlaw_dotState @@ -385,18 +402,18 @@ module subroutine plastic_phenopowerlaw_results(instance,group) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case('resistance_slip') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%xi_slip, 'xi_sl', & + case('xi_sl') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%xi_slip, trim(prm%output(o)), & 'resistance against plastic slip','Pa') - case('accumulatedshear_slip') - if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma_slip,'gamma_sl', & + case('gamma_sl') + if(prm%sum_N_sl>0) call results_writeDataset(group,stt%gamma_slip,trim(prm%output(o)), & 'plastic shear','1') - case('resistance_twin') - if(prm%sum_N_tw>0) call results_writeDataset(group,stt%xi_twin, 'xi_tw', & + case('xi_tw') + if(prm%sum_N_tw>0) call results_writeDataset(group,stt%xi_twin, trim(prm%output(o)), & 'resistance against twinning','Pa') - case('accumulatedshear_twin') - if(prm%sum_N_tw>0) call results_writeDataset(group,stt%gamma_twin,'gamma_tw', & + case('gamma_tw') + if(prm%sum_N_tw>0) call results_writeDataset(group,stt%gamma_twin,trim(prm%output(o)), & 'twinning shear','1') end select @@ -443,29 +460,29 @@ pure subroutine kinetics_slip(Mp,instance,of, & enddo where(dNeq0(tau_slip_pos)) - gdot_slip_pos = prm%gdot0_slip * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active - * sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_slip, tau_slip_pos) + gdot_slip_pos = prm%dot_gamma_0_sl * merge(0.5_pReal,1.0_pReal, prm%nonSchmidActive) & ! 1/2 if non-Schmid active + * sign(abs(tau_slip_pos/stt%xi_slip(:,of))**prm%n_sl, tau_slip_pos) else where gdot_slip_pos = 0.0_pReal end where where(dNeq0(tau_slip_neg)) - gdot_slip_neg = prm%gdot0_slip * 0.5_pReal & ! only used if non-Schmid active, always 1/2 - * sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_slip, tau_slip_neg) + gdot_slip_neg = prm%dot_gamma_0_sl * 0.5_pReal & ! only used if non-Schmid active, always 1/2 + * sign(abs(tau_slip_neg/stt%xi_slip(:,of))**prm%n_sl, tau_slip_neg) else where gdot_slip_neg = 0.0_pReal end where if (present(dgdot_dtau_slip_pos)) then where(dNeq0(gdot_slip_pos)) - dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_slip/tau_slip_pos + dgdot_dtau_slip_pos = gdot_slip_pos*prm%n_sl/tau_slip_pos else where dgdot_dtau_slip_pos = 0.0_pReal end where endif if (present(dgdot_dtau_slip_neg)) then where(dNeq0(gdot_slip_neg)) - dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_slip/tau_slip_neg + dgdot_dtau_slip_neg = gdot_slip_neg*prm%n_sl/tau_slip_neg else where dgdot_dtau_slip_neg = 0.0_pReal end where @@ -507,15 +524,15 @@ pure subroutine kinetics_twin(Mp,instance,of,& enddo where(tau_twin > 0.0_pReal) - gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_twin_char)) & ! only twin in untwinned volume fraction - * prm%gdot0_twin*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_twin + gdot_twin = (1.0_pReal-sum(stt%gamma_twin(:,of)/prm%gamma_tw_char)) & ! only twin in untwinned volume fraction + * prm%dot_gamma_0_tw*(abs(tau_twin)/stt%xi_twin(:,of))**prm%n_tw else where gdot_twin = 0.0_pReal end where if (present(dgdot_dtau_twin)) then where(dNeq0(gdot_twin)) - dgdot_dtau_twin = gdot_twin*prm%n_twin/tau_twin + dgdot_dtau_twin = gdot_twin*prm%n_tw/tau_twin else where dgdot_dtau_twin = 0.0_pReal end where diff --git a/src/constitutive_thermal.f90 b/src/constitutive_thermal.f90 new file mode 100644 index 000000000..a7d5d3259 --- /dev/null +++ b/src/constitutive_thermal.f90 @@ -0,0 +1,125 @@ +!---------------------------------------------------------------------------------------------------- +!> @brief internal microstructure state for all thermal sources and kinematics constitutive models +!---------------------------------------------------------------------------------------------------- +submodule(constitutive) constitutive_thermal + + interface + + module function source_thermal_dissipation_init(source_length) result(mySources) + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + end function source_thermal_dissipation_init + + module function source_thermal_externalheat_init(source_length) result(mySources) + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + end function source_thermal_externalheat_init + + module function kinematics_thermal_expansion_init(kinematics_length) result(myKinematics) + integer, intent(in) :: kinematics_length + logical, dimension(:,:), allocatable :: myKinematics + end function kinematics_thermal_expansion_init + + + module subroutine source_thermal_dissipation_getRateAndItsTangent(TDot, dTDot_dT, Tstar, Lp, phase) + integer, intent(in) :: & + phase !< phase ID of element + real(pReal), intent(in), dimension(3,3) :: & + Tstar !< 2nd Piola Kirchhoff stress tensor for a given element + real(pReal), intent(in), dimension(3,3) :: & + Lp !< plastic velocuty gradient for a given element + real(pReal), intent(out) :: & + TDot, & + dTDot_dT + end subroutine source_thermal_dissipation_getRateAndItsTangent + + module subroutine source_thermal_externalheat_getRateAndItsTangent(TDot, dTDot_dT, phase, of) + integer, intent(in) :: & + phase, & + of + real(pReal), intent(out) :: & + TDot, & + dTDot_dT + end subroutine source_thermal_externalheat_getRateAndItsTangent + + end interface + +contains + +!---------------------------------------------------------------------------------------------- +!< @brief initializes thermal sources and kinematics mechanism +!---------------------------------------------------------------------------------------------- +module subroutine thermal_init + +! initialize source mechanisms + if(maxval(phase_Nsources) /= 0) then + where(source_thermal_dissipation_init (maxval(phase_Nsources))) phase_source = SOURCE_thermal_dissipation_ID + where(source_thermal_externalheat_init(maxval(phase_Nsources))) phase_source = SOURCE_thermal_externalheat_ID + endif + +!-------------------------------------------------------------------------------------------------- +!initialize kinematic mechanisms + if(maxval(phase_Nkinematics) /= 0) where(kinematics_thermal_expansion_init(maxval(phase_Nkinematics))) & + phase_kinematics = KINEMATICS_thermal_expansion_ID + +end subroutine thermal_init + + +!---------------------------------------------------------------------------------------------- +!< @brief calculates thermal dissipation rate +!---------------------------------------------------------------------------------------------- +module subroutine constitutive_thermal_getRateAndItsTangents(TDot, dTDot_dT, T, S, Lp, ip, el) + integer, intent(in) :: & + ip, & !< integration point number + el !< element number + real(pReal), intent(in) :: & + T + real(pReal), intent(in), dimension(:,:,:,:,:) :: & + S, & !< current 2nd Piola Kirchhoff stress + Lp !< plastic velocity gradient + real(pReal), intent(inout) :: & + TDot, & + dTDot_dT + + real(pReal) :: & + my_Tdot, & + my_dTdot_dT + integer :: & + phase, & + homog, & + instance, & + grain, & + source, & + constituent + + homog = material_homogenizationAt(el) + instance = thermal_typeInstance(homog) + + do grain = 1, homogenization_Nconstituents(homog) + phase = material_phaseAt(grain,el) + constituent = material_phasememberAt(grain,ip,el) + do source = 1, phase_Nsources(phase) + select case(phase_source(source,phase)) + case (SOURCE_thermal_dissipation_ID) + call source_thermal_dissipation_getRateAndItsTangent(my_Tdot, my_dTdot_dT, & + S(1:3,1:3,grain,ip,el), & + Lp(1:3,1:3,grain,ip,el), & + phase) + + case (SOURCE_thermal_externalheat_ID) + call source_thermal_externalheat_getRateAndItsTangent(my_Tdot, my_dTdot_dT, & + phase, constituent) + + case default + my_Tdot = 0.0_pReal + my_dTdot_dT = 0.0_pReal + end select + Tdot = Tdot + my_Tdot + dTdot_dT = dTdot_dT + my_dTdot_dT + enddo + enddo + +end subroutine constitutive_thermal_getRateAndItsTangents + + +end submodule constitutive_thermal diff --git a/src/crystallite.f90 b/src/crystallite.f90 index 929fec862..c9ef97e32 100644 --- a/src/crystallite.f90 +++ b/src/crystallite.f90 @@ -10,11 +10,11 @@ module crystallite use prec + use parallelization use IO use HDF5_utilities use DAMASK_interface use config - use debug use rotations use math use FEsolving @@ -35,37 +35,40 @@ module crystallite crystallite_subStep !< size of next integration step type(rotation), dimension(:,:,:), allocatable :: & crystallite_orientation !< current orientation - real(pReal), dimension(:,:,:,:,:), allocatable, public, protected :: & - crystallite_Fe, & !< current "elastic" def grad (end of converged time step) - crystallite_P, & !< 1st Piola-Kirchhoff stress per grain - crystallite_S0, & !< 2nd Piola-Kirchhoff stress vector at start of FE inc - crystallite_Fp0, & !< plastic def grad at start of FE inc - crystallite_Fi0, & !< intermediate def grad at start of FE inc + real(pReal), dimension(:,:,:,:,:), allocatable :: & crystallite_F0, & !< def grad at start of FE inc - crystallite_Lp0, & !< plastic velocitiy grad at start of FE inc - crystallite_Li0 !< intermediate velocitiy grad at start of FE inc - real(pReal), dimension(:,:,:,:,:), allocatable, public :: & - crystallite_S, & !< current 2nd Piola-Kirchhoff stress vector (end of converged time step) - crystallite_partionedS0, & !< 2nd Piola-Kirchhoff stress vector at start of homog inc - crystallite_Fp, & !< current plastic def grad (end of converged time step) - crystallite_partionedFp0,& !< plastic def grad at start of homog inc - crystallite_Fi, & !< current intermediate def grad (end of converged time step) - crystallite_partionedFi0,& !< intermediate def grad at start of homog inc - crystallite_partionedF, & !< def grad to be reached at end of homog inc - crystallite_partionedF0, & !< def grad at start of homog inc - crystallite_Lp, & !< current plastic velocitiy grad (end of converged time step) - crystallite_partionedLp0, & !< plastic velocity grad at start of homog inc - crystallite_Li, & !< current intermediate velocitiy grad (end of converged time step) - crystallite_partionedLi0 !< intermediate velocity grad at start of homog inc - real(pReal), dimension(:,:,:,:,:), allocatable :: & - crystallite_subFp0,& !< plastic def grad at start of crystallite inc - crystallite_subFi0,& !< intermediate def grad at start of crystallite inc crystallite_subF, & !< def grad to be reached at end of crystallite inc crystallite_subF0, & !< def grad at start of crystallite inc - crystallite_subLp0,& !< plastic velocity grad at start of crystallite inc - crystallite_subLi0 !< intermediate velocity grad at start of crystallite inc - real(pReal), dimension(:,:,:,:,:,:,:), allocatable, public, protected :: & - crystallite_dPdF !< current individual dPdF per grain (end of converged time step) + ! + crystallite_Fe, & !< current "elastic" def grad (end of converged time step) + ! + crystallite_Fp, & !< current plastic def grad (end of converged time step) + crystallite_Fp0, & !< plastic def grad at start of FE inc + crystallite_partitionedFp0,& !< plastic def grad at start of homog inc + crystallite_subFp0,& !< plastic def grad at start of crystallite inc + ! + crystallite_Fi, & !< current intermediate def grad (end of converged time step) + crystallite_Fi0, & !< intermediate def grad at start of FE inc + crystallite_partitionedFi0,& !< intermediate def grad at start of homog inc + crystallite_subFi0,& !< intermediate def grad at start of crystallite inc + ! + crystallite_Lp0, & !< plastic velocitiy grad at start of FE inc + crystallite_partitionedLp0, & !< plastic velocity grad at start of homog inc + ! + crystallite_Li, & !< current intermediate velocitiy grad (end of converged time step) + crystallite_Li0, & !< intermediate velocitiy grad at start of FE inc + crystallite_partitionedLi0, & !< intermediate velocity grad at start of homog inc + ! + crystallite_S0, & !< 2nd Piola-Kirchhoff stress vector at start of FE inc + crystallite_partitionedS0 !< 2nd Piola-Kirchhoff stress vector at start of homog inc + real(pReal), dimension(:,:,:,:,:), allocatable, public, protected :: & + crystallite_P, & !< 1st Piola-Kirchhoff stress per grain + crystallite_Lp, & !< current plastic velocitiy grad (end of converged time step) + crystallite_S, & !< current 2nd Piola-Kirchhoff stress vector (end of converged time step) + crystallite_partitionedF0 !< def grad at start of homog inc + real(pReal), dimension(:,:,:,:,:), allocatable, public :: & + crystallite_partitionedF !< def grad to be reached at end of homog inc + logical, dimension(:,:,:), allocatable, public :: & crystallite_requested !< used by upper level (homogenization) to request crystallite calculation logical, dimension(:,:,:), allocatable :: & @@ -81,8 +84,7 @@ module crystallite integer :: & iJacoLpresiduum, & !< frequency of Jacobian update of residuum in Lp nState, & !< state loop limit - nStress, & !< stress loop limit - integrator !< integration scheme (ToDo: better use a string) + nStress !< stress loop limit real(pReal) :: & subStepMinCryst, & !< minimum (relative) size of sub-step allowed during cutback subStepSizeCryst, & !< size of first substep when cutback @@ -96,6 +98,19 @@ module crystallite type(tNumerics) :: num ! numerics parameters. Better name? + type :: tDebugOptions + logical :: & + basic, & + extensive, & + selective + integer :: & + element, & + ip, & + grain + end type tDebugOptions + + type(tDebugOptions) :: debugCrystallite + procedure(integrateStateFPI), pointer :: integrateState public :: & @@ -107,7 +122,10 @@ module crystallite crystallite_results, & crystallite_restartWrite, & crystallite_restartRead, & - crystallite_forward + crystallite_forward, & + crystallite_initializeRestorationPoints, & + crystallite_windForward, & + crystallite_restore contains @@ -117,39 +135,51 @@ contains !-------------------------------------------------------------------------------------------------- subroutine crystallite_init - logical, dimension(discretization_nIP,discretization_nElem) :: devNull + logical, dimension(discretization_nIPs,discretization_Nelems) :: devNull integer :: & c, & !< counter in integration point component loop i, & !< counter in integration point loop e, & !< counter in element loop cMax, & !< maximum number of integration point components iMax, & !< maximum number of integration points - eMax, & !< maximum number of elements - myNcomponents !< number of components at current IP + eMax !< maximum number of elements - write(6,'(/,a)') ' <<<+- crystallite init -+>>>' - cMax = homogenization_maxNgrains - iMax = discretization_nIP - eMax = discretization_nElem + class(tNode), pointer :: & + num_crystallite, & + debug_crystallite, & ! pointer to debug options for crystallite + phases, & + phase, & + generic_param - allocate(crystallite_partionedF(3,3,cMax,iMax,eMax),source=0.0_pReal) + print'(/,a)', ' <<<+- crystallite init -+>>>' + + debug_crystallite => config_debug%get('crystallite', defaultVal=emptyList) + debugCrystallite%basic = debug_crystallite%contains('basic') + debugCrystallite%extensive = debug_crystallite%contains('extensive') + debugCrystallite%selective = debug_crystallite%contains('selective') + debugCrystallite%element = config_debug%get_asInt('element', defaultVal=1) + debugCrystallite%ip = config_debug%get_asInt('integrationpoint', defaultVal=1) + debugCrystallite%grain = config_debug%get_asInt('grain', defaultVal=1) + + cMax = homogenization_maxNconstituents + iMax = discretization_nIPs + eMax = discretization_Nelems + + allocate(crystallite_partitionedF(3,3,cMax,iMax,eMax),source=0.0_pReal) allocate(crystallite_S0, & crystallite_F0, crystallite_Fi0,crystallite_Fp0, & crystallite_Li0,crystallite_Lp0, & - crystallite_partionedS0, & - crystallite_partionedF0,crystallite_partionedFp0,crystallite_partionedFi0, & - crystallite_partionedLp0,crystallite_partionedLi0, & + crystallite_partitionedS0, & + crystallite_partitionedF0,crystallite_partitionedFp0,crystallite_partitionedFi0, & + crystallite_partitionedLp0,crystallite_partitionedLi0, & crystallite_S,crystallite_P, & crystallite_Fe,crystallite_Fi,crystallite_Fp, & crystallite_Li,crystallite_Lp, & crystallite_subF,crystallite_subF0, & crystallite_subFp0,crystallite_subFi0, & - crystallite_subLi0,crystallite_subLp0, & - source = crystallite_partionedF) - - allocate(crystallite_dPdF(3,3,3,3,cMax,iMax,eMax),source=0.0_pReal) + source = crystallite_partitionedF) allocate(crystallite_dt(cMax,iMax,eMax),source=0.0_pReal) allocate(crystallite_subdt,crystallite_subFrac,crystallite_subStep, & @@ -160,23 +190,19 @@ subroutine crystallite_init allocate(crystallite_requested(cMax,iMax,eMax), source=.false.) allocate(crystallite_converged(cMax,iMax,eMax), source=.true.) - num%subStepMinCryst = config_numerics%getFloat('substepmincryst', defaultVal=1.0e-3_pReal) - num%subStepSizeCryst = config_numerics%getFloat('substepsizecryst', defaultVal=0.25_pReal) - num%stepIncreaseCryst = config_numerics%getFloat('stepincreasecryst', defaultVal=1.5_pReal) + num_crystallite => config_numerics%get('crystallite',defaultVal=emptyDict) - num%subStepSizeLp = config_numerics%getFloat('substepsizelp', defaultVal=0.5_pReal) - num%subStepSizeLi = config_numerics%getFloat('substepsizeli', defaultVal=0.5_pReal) - - num%rtol_crystalliteState = config_numerics%getFloat('rtol_crystallitestate', defaultVal=1.0e-6_pReal) - num%rtol_crystalliteStress = config_numerics%getFloat('rtol_crystallitestress',defaultVal=1.0e-6_pReal) - num%atol_crystalliteStress = config_numerics%getFloat('atol_crystallitestress',defaultVal=1.0e-8_pReal) - - num%iJacoLpresiduum = config_numerics%getInt ('ijacolpresiduum', defaultVal=1) - - num%integrator = config_numerics%getInt ('integrator', defaultVal=1) - - num%nState = config_numerics%getInt ('nstate', defaultVal=20) - num%nStress = config_numerics%getInt ('nstress', defaultVal=40) + num%subStepMinCryst = num_crystallite%get_asFloat ('subStepMin', defaultVal=1.0e-3_pReal) + num%subStepSizeCryst = num_crystallite%get_asFloat ('subStepSize', defaultVal=0.25_pReal) + num%stepIncreaseCryst = num_crystallite%get_asFloat ('stepIncrease', defaultVal=1.5_pReal) + num%subStepSizeLp = num_crystallite%get_asFloat ('subStepSizeLp', defaultVal=0.5_pReal) + num%subStepSizeLi = num_crystallite%get_asFloat ('subStepSizeLi', defaultVal=0.5_pReal) + num%rtol_crystalliteState = num_crystallite%get_asFloat ('rtol_State', defaultVal=1.0e-6_pReal) + num%rtol_crystalliteStress = num_crystallite%get_asFloat ('rtol_Stress', defaultVal=1.0e-6_pReal) + num%atol_crystalliteStress = num_crystallite%get_asFloat ('atol_Stress', defaultVal=1.0e-8_pReal) + num%iJacoLpresiduum = num_crystallite%get_asInt ('iJacoLpresiduum', defaultVal=1) + num%nState = num_crystallite%get_asInt ('nState', defaultVal=20) + num%nStress = num_crystallite%get_asInt ('nStress', defaultVal=40) if(num%subStepMinCryst <= 0.0_pReal) call IO_error(301,ext_msg='subStepMinCryst') if(num%subStepSizeCryst <= 0.0_pReal) call IO_error(301,ext_msg='subStepSizeCryst') @@ -191,47 +217,44 @@ subroutine crystallite_init if(num%iJacoLpresiduum < 1) call IO_error(301,ext_msg='iJacoLpresiduum') - if(num%integrator < 1 .or. num%integrator > 5) & - call IO_error(301,ext_msg='integrator') - if(num%nState < 1) call IO_error(301,ext_msg='nState') if(num%nStress< 1) call IO_error(301,ext_msg='nStress') - - select case(num%integrator) - case(1) + select case(num_crystallite%get_asString('integrator',defaultVal='FPI')) + case('FPI') integrateState => integrateStateFPI - case(2) + case('Euler') integrateState => integrateStateEuler - case(3) + case('AdaptiveEuler') integrateState => integrateStateAdaptiveEuler - case(4) + case('RK4') integrateState => integrateStateRK4 - case(5) + case('RKCK45') integrateState => integrateStateRKCK45 + case default + call IO_error(301,ext_msg='integrator') end select - allocate(output_constituent(size(config_phase))) - do c = 1, size(config_phase) + phases => config_material%get('phase') + + allocate(output_constituent(phases%length)) + do c = 1, phases%length + phase => phases%get(c) + generic_param => phase%get('generic',defaultVal = emptyDict) #if defined(__GFORTRAN__) - allocate(output_constituent(c)%label(1)) - output_constituent(c)%label(1)= 'GfortranBug86277' - output_constituent(c)%label = config_phase(c)%getStrings('(output)',defaultVal=output_constituent(c)%label ) - if (output_constituent(c)%label (1) == 'GfortranBug86277') output_constituent(c)%label = [character(len=pStringLen)::] + output_constituent(c)%label = output_asStrings(generic_param) #else - output_constituent(c)%label = config_phase(c)%getStrings('(output)',defaultVal=[character(len=pStringLen)::]) + output_constituent(c)%label = generic_param%get_asStrings('output',defaultVal=emptyStringArray) #endif enddo - call config_deallocate('material.config/phase') !-------------------------------------------------------------------------------------------------- ! initialize - !$OMP PARALLEL DO PRIVATE(myNcomponents,i,c) + !$OMP PARALLEL DO PRIVATE(i,c) do e = FEsolving_execElem(1),FEsolving_execElem(2) - myNcomponents = homogenization_Ngrains(material_homogenizationAt(e)) - do i = FEsolving_execIP(1), FEsolving_execIP(2); do c = 1, myNcomponents - crystallite_Fp0(1:3,1:3,c,i,e) = material_orientation0(c,i,e)%asMatrix() ! plastic def gradient reflects init orientation + do i = FEsolving_execIP(1), FEsolving_execIP(2); do c = 1, homogenization_Nconstituents(material_homogenizationAt(e)) + crystallite_Fp0(1:3,1:3,c,i,e) = material_orientation0(c,i,e)%asMatrix() ! Fp reflects initial orientation (see 10.1016/j.actamat.2006.01.005) crystallite_Fp0(1:3,1:3,c,i,e) = crystallite_Fp0(1:3,1:3,c,i,e) & / math_det33(crystallite_Fp0(1:3,1:3,c,i,e))**(1.0_pReal/3.0_pReal) crystallite_Fi0(1:3,1:3,c,i,e) = constitutive_initialFi(c,i,e) @@ -245,21 +268,20 @@ subroutine crystallite_init enddo !$OMP END PARALLEL DO - if(any(plasticState%nonlocal) .and. .not. usePingPong) call IO_error(601) ! exit if nonlocal but no ping-pong ToDo: Why not check earlier? or in nonlocal? - crystallite_partionedFp0 = crystallite_Fp0 - crystallite_partionedFi0 = crystallite_Fi0 - crystallite_partionedF0 = crystallite_F0 - crystallite_partionedF = crystallite_F0 + crystallite_partitionedFp0 = crystallite_Fp0 + crystallite_partitionedFi0 = crystallite_Fi0 + crystallite_partitionedF0 = crystallite_F0 + crystallite_partitionedF = crystallite_F0 call crystallite_orientations() !$OMP PARALLEL DO do e = FEsolving_execElem(1),FEsolving_execElem(2) do i = FEsolving_execIP(1),FEsolving_execIP(2) - do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) - call constitutive_dependentState(crystallite_partionedF0(1:3,1:3,c,i,e), & - crystallite_partionedFp0(1:3,1:3,c,i,e), & + do c = 1,homogenization_Nconstituents(material_homogenizationAt(e)) + call constitutive_dependentState(crystallite_partitionedF0(1:3,1:3,c,i,e), & + crystallite_partitionedFp0(1:3,1:3,c,i,e), & c,i,e) ! update dependent state variables to be consistent with basic states enddo enddo @@ -267,18 +289,14 @@ subroutine crystallite_init !$OMP END PARALLEL DO devNull = crystallite_stress() - call crystallite_stressTangent #ifdef DEBUG - if (iand(debug_level(debug_crystallite), debug_levelBasic) /= 0) then - write(6,'(a42,1x,i10)') ' # of elements: ', eMax - write(6,'(a42,1x,i10)') ' # of integration points/element: ', iMax - write(6,'(a42,1x,i10)') 'max # of constituents/integration point: ', cMax - flush(6) + if (debugCrystallite%basic) then + print'(a42,1x,i10)', ' # of elements: ', eMax + print'(a42,1x,i10)', ' # of integration points/element: ', iMax + print'(a42,1x,i10)', 'max # of constituents/integration point: ', cMax + flush(IO_STDOUT) endif - - call debug_info - call debug_reset #endif end subroutine crystallite_init @@ -287,11 +305,9 @@ end subroutine crystallite_init !-------------------------------------------------------------------------------------------------- !> @brief calculate stress (P) !-------------------------------------------------------------------------------------------------- -function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC) +function crystallite_stress() - logical, dimension(discretization_nIP,discretization_nElem) :: crystallite_stress - real(pReal), intent(in), optional :: & - dummyArgumentToPreventInternalCompilerErrorWithGCC + logical, dimension(discretization_nIPs,discretization_Nelems) :: crystallite_stress real(pReal) :: & formerSubStep integer :: & @@ -299,51 +315,37 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC) c, & !< counter in integration point component loop i, & !< counter in integration point loop e, & !< counter in element loop - startIP, endIP, & s - logical, dimension(homogenization_maxNgrains,discretization_nIP,discretization_nElem) :: todo !ToDo: need to set some values to false for different Ngrains + logical, dimension(homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems) :: todo !ToDo: need to set some values to false for different Ngrains + real(pReal), dimension(:,:,:,:,:), allocatable :: & + subLp0,& !< plastic velocity grad at start of crystallite inc + subLi0 !< intermediate velocity grad at start of crystallite inc + + + todo = .false. + + subLp0 = crystallite_partitionedLp0 + subLi0 = crystallite_partitionedLi0 + - todo = .false. -#ifdef DEBUG - if (iand(debug_level(debug_crystallite),debug_levelSelective) /= 0 & - .and. FEsolving_execElem(1) <= debug_e & - .and. debug_e <= FEsolving_execElem(2)) then - write(6,'(/,a,i8,1x,i2,1x,i3)') '<< CRYST stress >> boundary and initial values at el ip ipc ', & - debug_e,debug_i, debug_g - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< CRYST stress >> F ', & - transpose(crystallite_partionedF(1:3,1:3,debug_g,debug_i,debug_e)) - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< CRYST stress >> F0 ', & - transpose(crystallite_partionedF0(1:3,1:3,debug_g,debug_i,debug_e)) - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< CRYST stress >> Fp0', & - transpose(crystallite_partionedFp0(1:3,1:3,debug_g,debug_i,debug_e)) - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< CRYST stress >> Fi0', & - transpose(crystallite_partionedFi0(1:3,1:3,debug_g,debug_i,debug_e)) - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< CRYST stress >> Lp0', & - transpose(crystallite_partionedLp0(1:3,1:3,debug_g,debug_i,debug_e)) - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< CRYST stress >> Li0', & - transpose(crystallite_partionedLi0(1:3,1:3,debug_g,debug_i,debug_e)) - endif -#endif !-------------------------------------------------------------------------------------------------- ! initialize to starting condition crystallite_subStep = 0.0_pReal !$OMP PARALLEL DO elementLooping1: do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2); do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) + do i = FEsolving_execIP(1),FEsolving_execIP(2); do c = 1,homogenization_Nconstituents(material_homogenizationAt(e)) homogenizationRequestsCalculation: if (crystallite_requested(c,i,e)) then plasticState (material_phaseAt(c,e))%subState0( :,material_phaseMemberAt(c,i,e)) = & - plasticState (material_phaseAt(c,e))%partionedState0(:,material_phaseMemberAt(c,i,e)) + plasticState (material_phaseAt(c,e))%partitionedState0(:,material_phaseMemberAt(c,i,e)) do s = 1, phase_Nsources(material_phaseAt(c,e)) sourceState(material_phaseAt(c,e))%p(s)%subState0( :,material_phaseMemberAt(c,i,e)) = & - sourceState(material_phaseAt(c,e))%p(s)%partionedState0(:,material_phaseMemberAt(c,i,e)) + sourceState(material_phaseAt(c,e))%p(s)%partitionedState0(:,material_phaseMemberAt(c,i,e)) enddo - crystallite_subFp0(1:3,1:3,c,i,e) = crystallite_partionedFp0(1:3,1:3,c,i,e) - crystallite_subLp0(1:3,1:3,c,i,e) = crystallite_partionedLp0(1:3,1:3,c,i,e) - crystallite_subFi0(1:3,1:3,c,i,e) = crystallite_partionedFi0(1:3,1:3,c,i,e) - crystallite_subLi0(1:3,1:3,c,i,e) = crystallite_partionedLi0(1:3,1:3,c,i,e) - crystallite_subF0(1:3,1:3,c,i,e) = crystallite_partionedF0(1:3,1:3,c,i,e) + crystallite_subFp0(1:3,1:3,c,i,e) = crystallite_partitionedFp0(1:3,1:3,c,i,e) + crystallite_subFi0(1:3,1:3,c,i,e) = crystallite_partitionedFi0(1:3,1:3,c,i,e) + crystallite_subF0(1:3,1:3,c,i,e) = crystallite_partitionedF0(1:3,1:3,c,i,e) crystallite_subFrac(c,i,e) = 0.0_pReal crystallite_subStep(c,i,e) = 1.0_pReal/num%subStepSizeCryst todo(c,i,e) = .true. @@ -353,27 +355,18 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC) enddo elementLooping1 !$OMP END PARALLEL DO - singleRun: if (FEsolving_execELem(1) == FEsolving_execElem(2) .and. & - FEsolving_execIP (1) == FEsolving_execIP (2)) then - startIP = FEsolving_execIP(1) - endIP = startIP - else singleRun - startIP = 1 - endIP = discretization_nIP - endif singleRun - NiterationCrystallite = 0 - cutbackLooping: do while (any(todo(:,startIP:endIP,FEsolving_execELem(1):FEsolving_execElem(2)))) + cutbackLooping: do while (any(todo(:,FEsolving_execIP(1):FEsolving_execIP(2),FEsolving_execELem(1):FEsolving_execElem(2)))) NiterationCrystallite = NiterationCrystallite + 1 #ifdef DEBUG - if (iand(debug_level(debug_crystallite),debug_levelExtensive) /= 0) & - write(6,'(a,i6)') '<< CRYST stress >> crystallite iteration ',NiterationCrystallite + if (debugCrystallite%extensive) & + print'(a,i6)', '<< CRYST stress >> crystallite iteration ',NiterationCrystallite #endif !$OMP PARALLEL DO PRIVATE(formerSubStep) elementLooping3: do e = FEsolving_execElem(1),FEsolving_execElem(2) do i = FEsolving_execIP(1),FEsolving_execIP(2) - do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) + do c = 1,homogenization_Nconstituents(material_homogenizationAt(e)) !-------------------------------------------------------------------------------------------------- ! wind forward if (crystallite_converged(c,i,e)) then @@ -385,11 +378,10 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC) todo(c,i,e) = crystallite_subStep(c,i,e) > 0.0_pReal ! still time left to integrate on? if (todo(c,i,e)) then crystallite_subF0 (1:3,1:3,c,i,e) = crystallite_subF(1:3,1:3,c,i,e) - crystallite_subLp0(1:3,1:3,c,i,e) = crystallite_Lp (1:3,1:3,c,i,e) - crystallite_subLi0(1:3,1:3,c,i,e) = crystallite_Li (1:3,1:3,c,i,e) + subLp0(1:3,1:3,c,i,e) = crystallite_Lp (1:3,1:3,c,i,e) + subLi0(1:3,1:3,c,i,e) = crystallite_Li (1:3,1:3,c,i,e) crystallite_subFp0(1:3,1:3,c,i,e) = crystallite_Fp (1:3,1:3,c,i,e) crystallite_subFi0(1:3,1:3,c,i,e) = crystallite_Fi (1:3,1:3,c,i,e) - !if abbrevation, make c and p private in omp plasticState( material_phaseAt(c,e))%subState0(:,material_phaseMemberAt(c,i,e)) & = plasticState(material_phaseAt(c,e))%state( :,material_phaseMemberAt(c,i,e)) do s = 1, phase_Nsources(material_phaseAt(c,e)) @@ -406,8 +398,8 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC) crystallite_Fi (1:3,1:3,c,i,e) = crystallite_subFi0(1:3,1:3,c,i,e) crystallite_S (1:3,1:3,c,i,e) = crystallite_S0 (1:3,1:3,c,i,e) if (crystallite_subStep(c,i,e) < 1.0_pReal) then ! actual (not initial) cutback - crystallite_Lp (1:3,1:3,c,i,e) = crystallite_subLp0(1:3,1:3,c,i,e) - crystallite_Li (1:3,1:3,c,i,e) = crystallite_subLi0(1:3,1:3,c,i,e) + crystallite_Lp (1:3,1:3,c,i,e) = subLp0(1:3,1:3,c,i,e) + crystallite_Li (1:3,1:3,c,i,e) = subLi0(1:3,1:3,c,i,e) endif plasticState (material_phaseAt(c,e))%state( :,material_phaseMemberAt(c,i,e)) & = plasticState(material_phaseAt(c,e))%subState0(:,material_phaseMemberAt(c,i,e)) @@ -424,13 +416,14 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC) ! prepare for integration if (todo(c,i,e)) then crystallite_subF(1:3,1:3,c,i,e) = crystallite_subF0(1:3,1:3,c,i,e) & - + crystallite_subStep(c,i,e) *( crystallite_partionedF (1:3,1:3,c,i,e) & - -crystallite_partionedF0(1:3,1:3,c,i,e)) - crystallite_Fe(1:3,1:3,c,i,e) = matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), & - math_inv33(crystallite_Fp(1:3,1:3,c,i,e))), & - math_inv33(crystallite_Fi(1:3,1:3,c,i,e))) + + crystallite_subStep(c,i,e) *( crystallite_partitionedF (1:3,1:3,c,i,e) & + -crystallite_partitionedF0(1:3,1:3,c,i,e)) + crystallite_Fe(1:3,1:3,c,i,e) = matmul(crystallite_subF(1:3,1:3,c,i,e), & + math_inv33(matmul(crystallite_Fi(1:3,1:3,c,i,e), & + crystallite_Fp(1:3,1:3,c,i,e)))) crystallite_subdt(c,i,e) = crystallite_subStep(c,i,e) * crystallite_dt(c,i,e) crystallite_converged(c,i,e) = .false. + call integrateState(c,i,e) endif enddo @@ -440,7 +433,6 @@ function crystallite_stress(dummyArgumentToPreventInternalCompilerErrorWithGCC) !-------------------------------------------------------------------------------------------------- ! integrate --- requires fully defined state array (basic + dependent state) - if (any(todo)) call integrateState(todo) ! TODO: unroll into proper elementloop to avoid N^2 for single point evaluation where(.not. crystallite_converged .and. crystallite_subStep > num%subStepMinCryst) & ! do not try non-converged but fully cutbacked any further todo = .true. ! TODO: again unroll this into proper elementloop to avoid N^2 for single point evaluation @@ -459,14 +451,112 @@ end function crystallite_stress !-------------------------------------------------------------------------------------------------- -!> @brief calculate tangent (dPdF) +!> @brief Backup data for homog cutback. !-------------------------------------------------------------------------------------------------- -subroutine crystallite_stressTangent +subroutine crystallite_initializeRestorationPoints(i,e) + integer, intent(in) :: & + i, & !< integration point number + e !< element number integer :: & - c, & !< counter in integration point component loop + c, & !< constituent number + s + + do c = 1,homogenization_Nconstituents(material_homogenizationAt(e)) + crystallite_partitionedFp0(1:3,1:3,c,i,e) = crystallite_Fp0(1:3,1:3,c,i,e) + crystallite_partitionedLp0(1:3,1:3,c,i,e) = crystallite_Lp0(1:3,1:3,c,i,e) + crystallite_partitionedFi0(1:3,1:3,c,i,e) = crystallite_Fi0(1:3,1:3,c,i,e) + crystallite_partitionedLi0(1:3,1:3,c,i,e) = crystallite_Li0(1:3,1:3,c,i,e) + crystallite_partitionedF0(1:3,1:3,c,i,e) = crystallite_F0(1:3,1:3,c,i,e) + crystallite_partitionedS0(1:3,1:3,c,i,e) = crystallite_S0(1:3,1:3,c,i,e) + + plasticState(material_phaseAt(c,e))%partitionedState0(:,material_phasememberAt(c,i,e)) = & + plasticState(material_phaseAt(c,e))%state0( :,material_phasememberAt(c,i,e)) + do s = 1, phase_Nsources(material_phaseAt(c,e)) + sourceState(material_phaseAt(c,e))%p(s)%partitionedState0(:,material_phasememberAt(c,i,e)) = & + sourceState(material_phaseAt(c,e))%p(s)%state0( :,material_phasememberAt(c,i,e)) + enddo + enddo + +end subroutine crystallite_initializeRestorationPoints + + +!-------------------------------------------------------------------------------------------------- +!> @brief Wind homog inc forward. +!-------------------------------------------------------------------------------------------------- +subroutine crystallite_windForward(i,e) + + integer, intent(in) :: & + i, & !< integration point number + e !< element number + integer :: & + c, & !< constituent number + s + + do c = 1,homogenization_Nconstituents(material_homogenizationAt(e)) + crystallite_partitionedF0 (1:3,1:3,c,i,e) = crystallite_partitionedF(1:3,1:3,c,i,e) + crystallite_partitionedFp0(1:3,1:3,c,i,e) = crystallite_Fp (1:3,1:3,c,i,e) + crystallite_partitionedLp0(1:3,1:3,c,i,e) = crystallite_Lp (1:3,1:3,c,i,e) + crystallite_partitionedFi0(1:3,1:3,c,i,e) = crystallite_Fi (1:3,1:3,c,i,e) + crystallite_partitionedLi0(1:3,1:3,c,i,e) = crystallite_Li (1:3,1:3,c,i,e) + crystallite_partitionedS0 (1:3,1:3,c,i,e) = crystallite_S (1:3,1:3,c,i,e) + + plasticState (material_phaseAt(c,e))%partitionedState0(:,material_phasememberAt(c,i,e)) = & + plasticState (material_phaseAt(c,e))%state (:,material_phasememberAt(c,i,e)) + do s = 1, phase_Nsources(material_phaseAt(c,e)) + sourceState(material_phaseAt(c,e))%p(s)%partitionedState0(:,material_phasememberAt(c,i,e)) = & + sourceState(material_phaseAt(c,e))%p(s)%state (:,material_phasememberAt(c,i,e)) + enddo + enddo + +end subroutine crystallite_windForward + + +!-------------------------------------------------------------------------------------------------- +!> @brief Restore data after homog cutback. +!-------------------------------------------------------------------------------------------------- +subroutine crystallite_restore(i,e,includeL) + + integer, intent(in) :: & + i, & !< integration point number + e !< element number + logical, intent(in) :: & + includeL !< protect agains fake cutback + integer :: & + c, & !< constituent number + s + + do c = 1,homogenization_Nconstituents(material_homogenizationAt(e)) + if (includeL) then + crystallite_Lp(1:3,1:3,c,i,e) = crystallite_partitionedLp0(1:3,1:3,c,i,e) + crystallite_Li(1:3,1:3,c,i,e) = crystallite_partitionedLi0(1:3,1:3,c,i,e) + endif ! maybe protecting everything from overwriting makes more sense + crystallite_Fp(1:3,1:3,c,i,e) = crystallite_partitionedFp0(1:3,1:3,c,i,e) + crystallite_Fi(1:3,1:3,c,i,e) = crystallite_partitionedFi0(1:3,1:3,c,i,e) + crystallite_S (1:3,1:3,c,i,e) = crystallite_partitionedS0 (1:3,1:3,c,i,e) + + plasticState (material_phaseAt(c,e))%state( :,material_phasememberAt(c,i,e)) = & + plasticState (material_phaseAt(c,e))%partitionedState0(:,material_phasememberAt(c,i,e)) + do s = 1, phase_Nsources(material_phaseAt(c,e)) + sourceState(material_phaseAt(c,e))%p(s)%state( :,material_phasememberAt(c,i,e)) = & + sourceState(material_phaseAt(c,e))%p(s)%partitionedState0(:,material_phasememberAt(c,i,e)) + enddo + enddo + +end subroutine crystallite_restore + + +!-------------------------------------------------------------------------------------------------- +!> @brief Calculate tangent (dPdF). +!-------------------------------------------------------------------------------------------------- +function crystallite_stressTangent(c,i,e) result(dPdF) + + real(pReal), dimension(3,3,3,3) :: dPdF + integer, intent(in) :: & + c, & !< counter in constituent loop i, & !< counter in integration point loop - e, & !< counter in element loop + e !< counter in element loop + integer :: & o, & p @@ -488,12 +578,6 @@ subroutine crystallite_stressTangent real(pReal), dimension(9,9):: temp_99 logical :: error - !$OMP PARALLEL DO PRIVATE(dSdF,dSdFe,dSdFi,dLpdS,dLpdFi,dFpinvdF,dLidS,dLidFi,dFidS,o,p, & - !$OMP invSubFp0,invSubFi0,invFp,invFi, & - !$OMP rhs_3333,lhs_3333,temp_99,temp_33_1,temp_33_2,temp_33_3,temp_33_4,temp_3333,error) - elementLooping: do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) call constitutive_SandItsTangents(devNull,dSdFe,dSdFi, & crystallite_Fe(1:3,1:3,c,i,e), & @@ -550,7 +634,7 @@ subroutine crystallite_stressTangent lhs_3333 = crystallite_subdt(c,i,e)*math_mul3333xx3333(dSdFe,temp_3333) & + math_mul3333xx3333(dSdFi,dFidS) - call math_invert(temp_99,error,math_identity2nd(9)+math_3333to99(lhs_3333)) + call math_invert(temp_99,error,math_eye(9)+math_3333to99(lhs_3333)) if (error) then call IO_warning(warning_ID=600,el=e,ip=i,g=c, & ext_msg='inversion error in analytic tangent calculation') @@ -574,24 +658,20 @@ subroutine crystallite_stressTangent temp_33_3 = matmul(crystallite_subF(1:3,1:3,c,i,e),invFp) temp_33_4 = matmul(temp_33_3,crystallite_S(1:3,1:3,c,i,e)) - crystallite_dPdF(1:3,1:3,1:3,1:3,c,i,e) = 0.0_pReal + dPdF = 0.0_pReal do p=1,3 - crystallite_dPdF(p,1:3,p,1:3,c,i,e) = transpose(temp_33_2) + dPdF(p,1:3,p,1:3) = transpose(temp_33_2) enddo do o=1,3; do p=1,3 - crystallite_dPdF(1:3,1:3,p,o,c,i,e) = crystallite_dPdF(1:3,1:3,p,o,c,i,e) & - + matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), & - dFpinvdF(1:3,1:3,p,o)),temp_33_1) & - + matmul(matmul(temp_33_3,dSdF(1:3,1:3,p,o)), & - transpose(invFp)) & - + matmul(temp_33_4,transpose(dFpinvdF(1:3,1:3,p,o))) + dPdF(1:3,1:3,p,o) = dPdF(1:3,1:3,p,o) & + + matmul(matmul(crystallite_subF(1:3,1:3,c,i,e), & + dFpinvdF(1:3,1:3,p,o)),temp_33_1) & + + matmul(matmul(temp_33_3,dSdF(1:3,1:3,p,o)), & + transpose(invFp)) & + + matmul(temp_33_4,transpose(dFpinvdF(1:3,1:3,p,o))) enddo; enddo - enddo; enddo - enddo elementLooping - !$OMP END PARALLEL DO - -end subroutine crystallite_stressTangent +end function crystallite_stressTangent !-------------------------------------------------------------------------------------------------- @@ -607,7 +687,7 @@ subroutine crystallite_orientations !$OMP PARALLEL DO do e = FEsolving_execElem(1),FEsolving_execElem(2) do i = FEsolving_execIP(1),FEsolving_execIP(2) - do c = 1,homogenization_Ngrains(material_homogenizationAt(e)) + do c = 1,homogenization_Nconstituents(material_homogenizationAt(e)) call crystallite_orientation(c,i,e)%fromMatrix(transpose(math_rotationalPart(crystallite_Fe(1:3,1:3,c,i,e)))) enddo; enddo; enddo !$OMP END PARALLEL DO @@ -618,7 +698,7 @@ subroutine crystallite_orientations if (plasticState(material_phaseAt(1,e))%nonlocal) then do i = FEsolving_execIP(1),FEsolving_execIP(2) call plastic_nonlocal_updateCompatibility(crystallite_orientation, & - phase_plasticityInstance(material_phaseAt(i,e)),i,e) + phase_plasticityInstance(material_phaseAt(1,e)),i,e) enddo endif enddo @@ -658,46 +738,46 @@ subroutine crystallite_results type(rotation), allocatable, dimension(:) :: selected_rotations character(len=pStringLen) :: group,structureLabel - do p=1,size(config_name_phase) - group = trim('current/constituent')//'/'//trim(config_name_phase(p))//'/generic' + do p=1,size(material_name_phase) + group = trim('current/constituent')//'/'//trim(material_name_phase(p))//'/generic' call results_closeGroup(results_addGroup(group)) do o = 1, size(output_constituent(p)%label) select case (output_constituent(p)%label(o)) - case('f') - selected_tensors = select_tensors(crystallite_partionedF,p) - call results_writeDataset(group,selected_tensors,'F',& + case('F') + selected_tensors = select_tensors(crystallite_partitionedF,p) + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'deformation gradient','1') - case('fe') + case('F_e') selected_tensors = select_tensors(crystallite_Fe,p) - call results_writeDataset(group,selected_tensors,'Fe',& + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'elastic deformation gradient','1') - case('fp') + case('F_p') selected_tensors = select_tensors(crystallite_Fp,p) - call results_writeDataset(group,selected_tensors,'Fp',& + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'plastic deformation gradient','1') - case('fi') + case('F_i') selected_tensors = select_tensors(crystallite_Fi,p) - call results_writeDataset(group,selected_tensors,'Fi',& + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'inelastic deformation gradient','1') - case('lp') + case('L_p') selected_tensors = select_tensors(crystallite_Lp,p) - call results_writeDataset(group,selected_tensors,'Lp',& + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'plastic velocity gradient','1/s') - case('li') + case('L_i') selected_tensors = select_tensors(crystallite_Li,p) - call results_writeDataset(group,selected_tensors,'Li',& + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'inelastic velocity gradient','1/s') - case('p') + case('P') selected_tensors = select_tensors(crystallite_P,p) - call results_writeDataset(group,selected_tensors,'P',& + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'First Piola-Kirchoff stress','Pa') - case('s') + case('S') selected_tensors = select_tensors(crystallite_S,p) - call results_writeDataset(group,selected_tensors,'S',& + call results_writeDataset(group,selected_tensors,output_constituent(p)%label(o),& 'Second Piola-Kirchoff stress','Pa') - case('orientation') + case('O') select case(lattice_structure(p)) case(lattice_ISO_ID) structureLabel = 'iso' @@ -713,7 +793,7 @@ subroutine crystallite_results structureLabel = 'ort' end select selected_rotations = select_rotations(crystallite_orientation,p) - call results_writeDataset(group,selected_rotations,'orientation',& + call results_writeDataset(group,selected_rotations,output_constituent(p)%label(o),& 'crystal orientation as quaternion',structureLabel) end select enddo @@ -731,11 +811,11 @@ subroutine crystallite_results real(pReal), allocatable, dimension(:,:,:) :: select_tensors integer :: e,i,c,j - allocate(select_tensors(3,3,count(material_phaseAt==instance)*discretization_nIP)) + allocate(select_tensors(3,3,count(material_phaseAt==instance)*discretization_nIPs)) j=0 do e = 1, size(material_phaseAt,2) - do i = 1, discretization_nIP + do i = 1, discretization_nIPs do c = 1, size(material_phaseAt,1) !ToDo: this needs to be changed for varying Ngrains if (material_phaseAt(c,e) == instance) then j = j + 1 @@ -758,11 +838,11 @@ subroutine crystallite_results type(rotation), allocatable, dimension(:) :: select_rotations integer :: e,i,c,j - allocate(select_rotations(count(material_phaseAt==instance)*homogenization_maxNgrains*discretization_nIP)) + allocate(select_rotations(count(material_phaseAt==instance)*homogenization_maxNconstituents*discretization_nIPs)) j=0 do e = 1, size(material_phaseAt,2) - do i = 1, discretization_nIP + do i = 1, discretization_nIPs do c = 1, size(material_phaseAt,1) !ToDo: this needs to be changed for varying Ngrains if (material_phaseAt(c,e) == instance) then j = j + 1 @@ -851,7 +931,7 @@ function integrateStress(ipc,ip,el,timeFraction) result(broken) F = crystallite_subF(1:3,1:3,ipc,ip,el) endif - call constitutive_dependentState(crystallite_partionedF(1:3,1:3,ipc,ip,el), & + call constitutive_dependentState(crystallite_partitionedF(1:3,1:3,ipc,ip,el), & crystallite_Fp(1:3,1:3,ipc,ip,el),ipc,ip,el) Lpguess = crystallite_Lp(1:3,1:3,ipc,ip,el) ! take as first guess @@ -921,7 +1001,7 @@ function integrateStress(ipc,ip,el,timeFraction) result(broken) do o=1,3; do p=1,3 dFe_dLp(o,1:3,p,1:3) = - dt * A(o,p)*transpose(invFi_new) ! dFe_dLp(i,j,k,l) = -dt * A(i,k) invFi(l,j) enddo; enddo - dRLp_dLp = math_identity2nd(9) & + dRLp_dLp = math_eye(9) & - math_3333to99(math_mul3333xx3333(math_mul3333xx3333(dLp_dS,dS_dFe),dFe_dLp)) temp_9 = math_33to9(residuumLp) call dgesv(9,1,dRLp_dLp,9,devNull_9,temp_9,9,ierr) ! solve dRLp/dLp * delta Lp = -res for delta Lp @@ -966,7 +1046,7 @@ function integrateStress(ipc,ip,el,timeFraction) result(broken) do o=1,3; do p=1,3 dFi_dLi(1:3,1:3,o,p) = matmul(matmul(Fi_new,dFi_dLi(1:3,1:3,o,p)),Fi_new) enddo; enddo - dRLi_dLi = math_identity2nd(9) & + dRLi_dLi = math_eye(9) & - math_3333to99(math_mul3333xx3333(dLi_dS, math_mul3333xx3333(dS_dFe, dFe_dLi) & + math_mul3333xx3333(dS_dFi, dFi_dLi))) & - math_3333to99(math_mul3333xx3333(dLi_dFi, dFi_dLi)) @@ -1000,14 +1080,14 @@ end function integrateStress !> @brief integrate stress, state with adaptive 1st order explicit Euler method !> using Fixed Point Iteration to adapt the stepsize !-------------------------------------------------------------------------------------------------- -subroutine integrateStateFPI(todo) +subroutine integrateStateFPI(g,i,e) - logical, dimension(:,:,:), intent(in) :: todo - integer :: & - NiterationState, & !< number of iterations in state loop + integer, intent(in) :: & e, & !< element index in element loop i, & !< integration point index in ip loop - g, & !< grain index in grain loop + g !< grain index in grain loop + integer :: & + NiterationState, & !< number of iterations in state loop p, & c, & s, & @@ -1022,101 +1102,88 @@ subroutine integrateStateFPI(todo) plastic_dotState real(pReal), dimension(constitutive_source_maxSizeDotState,2,maxval(phase_Nsources)) :: source_dotState logical :: & - nonlocalBroken, broken + broken - nonlocalBroken = .false. - !$OMP PARALLEL DO PRIVATE(size_pl,size_so,r,zeta,p,c,plastic_dotState,source_dotState,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - c = material_phaseMemberAt(g,i,e) + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partitionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partitionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. - if(broken) cycle + size_pl = plasticState(p)%sizeDotState + plasticState(p)%state(1:size_pl,c) = plasticState(p)%subState0(1:size_pl,c) & + + plasticState(p)%dotState (1:size_pl,c) & + * crystallite_subdt(g,i,e) + plastic_dotState(1:size_pl,2) = 0.0_pReal + do s = 1, phase_Nsources(p) + size_so(s) = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%subState0(1:size_so(s),c) & + + sourceState(p)%p(s)%dotState (1:size_so(s),c) & + * crystallite_subdt(g,i,e) + source_dotState(1:size_so(s),2,s) = 0.0_pReal + enddo - size_pl = plasticState(p)%sizeDotState - plasticState(p)%state(1:size_pl,c) = plasticState(p)%subState0(1:size_pl,c) & - + plasticState(p)%dotState (1:size_pl,c) & - * crystallite_subdt(g,i,e) - plastic_dotState(1:size_pl,2) = 0.0_pReal - do s = 1, phase_Nsources(p) - size_so(s) = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%subState0(1:size_so(s),c) & - + sourceState(p)%p(s)%dotState (1:size_so(s),c) & - * crystallite_subdt(g,i,e) - source_dotState(1:size_so(s),2,s) = 0.0_pReal - enddo + iteration: do NiterationState = 1, num%nState - iteration: do NiterationState = 1, num%nState + if(nIterationState > 1) plastic_dotState(1:size_pl,2) = plastic_dotState(1:size_pl,1) + plastic_dotState(1:size_pl,1) = plasticState(p)%dotState(:,c) + do s = 1, phase_Nsources(p) + if(nIterationState > 1) source_dotState(1:size_so(s),2,s) = source_dotState(1:size_so(s),1,s) + source_dotState(1:size_so(s),1,s) = sourceState(p)%p(s)%dotState(:,c) + enddo - if(nIterationState > 1) plastic_dotState(1:size_pl,2) = plastic_dotState(1:size_pl,1) - plastic_dotState(1:size_pl,1) = plasticState(p)%dotState(:,c) - do s = 1, phase_Nsources(p) - if(nIterationState > 1) source_dotState(1:size_so(s),2,s) = source_dotState(1:size_so(s),1,s) - source_dotState(1:size_so(s),1,s) = sourceState(p)%p(s)%dotState(:,c) - enddo + broken = integrateStress(g,i,e) + if(broken) exit iteration - broken = integrateStress(g,i,e) - if(broken) exit iteration + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partitionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partitionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) exit iteration - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) exit iteration + zeta = damper(plasticState(p)%dotState(:,c),plastic_dotState(1:size_pl,1),& + plastic_dotState(1:size_pl,2)) + plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) * zeta & + + plastic_dotState(1:size_pl,1) * (1.0_pReal - zeta) + r(1:size_pl) = plasticState(p)%state (1:size_pl,c) & + - plasticState(p)%subState0(1:size_pl,c) & + - plasticState(p)%dotState (1:size_pl,c) * crystallite_subdt(g,i,e) + plasticState(p)%state(1:size_pl,c) = plasticState(p)%state(1:size_pl,c) & + - r(1:size_pl) + crystallite_converged(g,i,e) = converged(r(1:size_pl), & + plasticState(p)%state(1:size_pl,c), & + plasticState(p)%atol(1:size_pl)) + do s = 1, phase_Nsources(p) + zeta = damper(sourceState(p)%p(s)%dotState(:,c), & + source_dotState(1:size_so(s),1,s),& + source_dotState(1:size_so(s),2,s)) + sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) * zeta & + + source_dotState(1:size_so(s),1,s)* (1.0_pReal - zeta) + r(1:size_so(s)) = sourceState(p)%p(s)%state (1:size_so(s),c) & + - sourceState(p)%p(s)%subState0(1:size_so(s),c) & + - sourceState(p)%p(s)%dotState (1:size_so(s),c) * crystallite_subdt(g,i,e) + sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%state(1:size_so(s),c) & + - r(1:size_so(s)) + crystallite_converged(g,i,e) = & + crystallite_converged(g,i,e) .and. converged(r(1:size_so(s)), & + sourceState(p)%p(s)%state(1:size_so(s),c), & + sourceState(p)%p(s)%atol(1:size_so(s))) + enddo - zeta = damper(plasticState(p)%dotState(:,c),plastic_dotState(1:size_pl,1),& - plastic_dotState(1:size_pl,2)) - plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) * zeta & - + plastic_dotState(1:size_pl,1) * (1.0_pReal - zeta) - r(1:size_pl) = plasticState(p)%state (1:size_pl,c) & - - plasticState(p)%subState0(1:size_pl,c) & - - plasticState(p)%dotState (1:size_pl,c) * crystallite_subdt(g,i,e) - plasticState(p)%state(1:size_pl,c) = plasticState(p)%state(1:size_pl,c) & - - r(1:size_pl) - crystallite_converged(g,i,e) = converged(r(1:size_pl), & - plasticState(p)%state(1:size_pl,c), & - plasticState(p)%atol(1:size_pl)) - do s = 1, phase_Nsources(p) - zeta = damper(sourceState(p)%p(s)%dotState(:,c), & - source_dotState(1:size_so(s),1,s),& - source_dotState(1:size_so(s),2,s)) - sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) * zeta & - + source_dotState(1:size_so(s),1,s)* (1.0_pReal - zeta) - r(1:size_so(s)) = sourceState(p)%p(s)%state (1:size_so(s),c) & - - sourceState(p)%p(s)%subState0(1:size_so(s),c) & - - sourceState(p)%p(s)%dotState (1:size_so(s),c) * crystallite_subdt(g,i,e) - sourceState(p)%p(s)%state(1:size_so(s),c) = sourceState(p)%p(s)%state(1:size_so(s),c) & - - r(1:size_so(s)) - crystallite_converged(g,i,e) = & - crystallite_converged(g,i,e) .and. converged(r(1:size_so(s)), & - sourceState(p)%p(s)%state(1:size_so(s),c), & - sourceState(p)%p(s)%atol(1:size_so(s))) - enddo + if(crystallite_converged(g,i,e)) then + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + exit iteration + endif - if(crystallite_converged(g,i,e)) then - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - exit iteration - endif + enddo iteration - enddo iteration - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. - endif - enddo; enddo; enddo - !$OMP END PARALLEL DO - - if (nonlocalBroken) call nonlocalConvergenceCheck contains @@ -1146,64 +1213,48 @@ end subroutine integrateStateFPI !-------------------------------------------------------------------------------------------------- !> @brief integrate state with 1st order explicit Euler method !-------------------------------------------------------------------------------------------------- -subroutine integrateStateEuler(todo) +subroutine integrateStateEuler(g,i,e) - logical, dimension(:,:,:), intent(in) :: todo - - integer :: & + integer, intent(in) :: & e, & !< element index in element loop i, & !< integration point index in ip loop - g, & !< grain index in grain loop + g !< grain index in grain loop + integer :: & p, & c, & s, & sizeDotState logical :: & - nonlocalBroken, broken + broken - nonlocalBroken = .false. - !$OMP PARALLEL DO PRIVATE (sizeDotState,p,c,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - c = material_phaseMemberAt(g,i,e) + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partitionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partitionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. - if(broken) cycle + sizeDotState = plasticState(p)%sizeDotState + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + enddo - sizeDotState = plasticState(p)%sizeDotState - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - enddo + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + if(broken) return - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. - if(broken) cycle - - broken = integrateStress(g,i,e) - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. - crystallite_converged(g,i,e) = .not. broken - endif - enddo; enddo; enddo - !$OMP END PARALLEL DO - - if (nonlocalBroken) call nonlocalConvergenceCheck + broken = integrateStress(g,i,e) + crystallite_converged(g,i,e) = .not. broken end subroutine integrateStateEuler @@ -1211,93 +1262,78 @@ end subroutine integrateStateEuler !-------------------------------------------------------------------------------------------------- !> @brief integrate stress, state with 1st order Euler method with adaptive step size !-------------------------------------------------------------------------------------------------- -subroutine integrateStateAdaptiveEuler(todo) - - logical, dimension(:,:,:), intent(in) :: todo +subroutine integrateStateAdaptiveEuler(g,i,e) + integer, intent(in) :: & + e, & !< element index in element loop + i, & !< integration point index in ip loop + g !< grain index in grain loop integer :: & - e, & ! element index in element loop - i, & ! integration point index in ip loop - g, & ! grain index in grain loop p, & c, & s, & sizeDotState logical :: & - nonlocalBroken, broken + broken real(pReal), dimension(constitutive_plasticity_maxSizeDotState) :: residuum_plastic real(pReal), dimension(constitutive_source_maxSizeDotState,maxval(phase_Nsources)) :: residuum_source - nonlocalBroken = .false. - !$OMP PARALLEL DO PRIVATE(sizeDotState,p,c,residuum_plastic,residuum_source,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - broken = .false. - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then - c = material_phaseMemberAt(g,i,e) + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partitionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partitionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - sizeDotState = plasticState(p)%sizeDotState + sizeDotState = plasticState(p)%sizeDotState - residuum_plastic(1:sizeDotState) = - plasticState(p)%dotstate(1:sizeDotState,c) * 0.5_pReal * crystallite_subdt(g,i,e) - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState + residuum_plastic(1:sizeDotState) = - plasticState(p)%dotstate(1:sizeDotState,c) * 0.5_pReal * crystallite_subdt(g,i,e) + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState - residuum_source(1:sizeDotState,s) = - sourceState(p)%p(s)%dotstate(1:sizeDotState,c) & - * 0.5_pReal * crystallite_subdt(g,i,e) - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) - enddo + residuum_source(1:sizeDotState,s) = - sourceState(p)%p(s)%dotstate(1:sizeDotState,c) & + * 0.5_pReal * crystallite_subdt(g,i,e) + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotstate(1:sizeDotState,c) * crystallite_subdt(g,i,e) + enddo - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) cycle + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + if(broken) return - broken = integrateStress(g,i,e) - if(broken) cycle + broken = integrateStress(g,i,e) + if(broken) return - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partitionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partitionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - sizeDotState = plasticState(p)%sizeDotState - crystallite_converged(g,i,e) = converged(residuum_plastic(1:sizeDotState) & - + 0.5_pReal * plasticState(p)%dotState(:,c) * crystallite_subdt(g,i,e), & - plasticState(p)%state(1:sizeDotState,c), & - plasticState(p)%atol(1:sizeDotState)) + sizeDotState = plasticState(p)%sizeDotState + crystallite_converged(g,i,e) = converged(residuum_plastic(1:sizeDotState) & + + 0.5_pReal * plasticState(p)%dotState(:,c) * crystallite_subdt(g,i,e), & + plasticState(p)%state(1:sizeDotState,c), & + plasticState(p)%atol(1:sizeDotState)) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - crystallite_converged(g,i,e) = & - crystallite_converged(g,i,e) .and. converged(residuum_source(1:sizeDotState,s) & - + 0.5_pReal*sourceState(p)%p(s)%dotState(:,c)*crystallite_subdt(g,i,e), & - sourceState(p)%p(s)%state(1:sizeDotState,c), & - sourceState(p)%p(s)%atol(1:sizeDotState)) - enddo - - endif - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. - enddo; enddo; enddo - !$OMP END PARALLEL DO - - if (nonlocalBroken) call nonlocalConvergenceCheck + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + crystallite_converged(g,i,e) = & + crystallite_converged(g,i,e) .and. converged(residuum_source(1:sizeDotState,s) & + + 0.5_pReal*sourceState(p)%p(s)%dotState(:,c)*crystallite_subdt(g,i,e), & + sourceState(p)%p(s)%state(1:sizeDotState,c), & + sourceState(p)%p(s)%atol(1:sizeDotState)) + enddo end subroutine integrateStateAdaptiveEuler @@ -1305,9 +1341,9 @@ end subroutine integrateStateAdaptiveEuler !--------------------------------------------------------------------------------------------------- !> @brief Integrate state (including stress integration) with the classic Runge Kutta method !--------------------------------------------------------------------------------------------------- -subroutine integrateStateRK4(todo) +subroutine integrateStateRK4(g,i,e) - logical, dimension(:,:,:), intent(in) :: todo + integer, intent(in) :: g,i,e real(pReal), dimension(3,3), parameter :: & A = reshape([& @@ -1320,7 +1356,7 @@ subroutine integrateStateRK4(todo) real(pReal), dimension(4), parameter :: & B = [1.0_pReal/6.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/3.0_pReal, 1.0_pReal/6.0_pReal] - call integrateStateRK(todo,A,B,C) + call integrateStateRK(g,i,e,A,B,C) end subroutine integrateStateRK4 @@ -1328,9 +1364,9 @@ end subroutine integrateStateRK4 !--------------------------------------------------------------------------------------------------- !> @brief Integrate state (including stress integration) with the Cash-Carp method !--------------------------------------------------------------------------------------------------- -subroutine integrateStateRKCK45(todo) +subroutine integrateStateRKCK45(g,i,e) - logical, dimension(:,:,:), intent(in) :: todo + integer, intent(in) :: g,i,e real(pReal), dimension(5,5), parameter :: & A = reshape([& @@ -1350,7 +1386,7 @@ subroutine integrateStateRKCK45(todo) [2825.0_pReal/27648.0_pReal, .0_pReal, 18575.0_pReal/48384.0_pReal,& 13525.0_pReal/55296.0_pReal, 277.0_pReal/14336.0_pReal, 1._pReal/4._pReal] - call integrateStateRK(todo,A,B,C,DB) + call integrateStateRK(g,i,e,A,B,C,DB) end subroutine integrateStateRKCK45 @@ -1359,18 +1395,18 @@ end subroutine integrateStateRKCK45 !> @brief Integrate state (including stress integration) with an explicit Runge-Kutta method or an !! embedded explicit Runge-Kutta method !-------------------------------------------------------------------------------------------------- -subroutine integrateStateRK(todo,A,B,CC,DB) +subroutine integrateStateRK(g,i,e,A,B,CC,DB) - logical, dimension(:,:,:), intent(in) :: todo real(pReal), dimension(:,:), intent(in) :: A real(pReal), dimension(:), intent(in) :: B, CC real(pReal), dimension(:), intent(in), optional :: DB + integer, intent(in) :: & + e, & !< element index in element loop + i, & !< integration point index in ip loop + g !< grain index in grain loop integer :: & - e, & ! element index in element loop - i, & ! integration point index in ip loop - g, & ! grain index in grain loop stage, & ! stage index in integration stage loop n, & p, & @@ -1378,140 +1414,106 @@ subroutine integrateStateRK(todo,A,B,CC,DB) s, & sizeDotState logical :: & - nonlocalBroken, broken + broken real(pReal), dimension(constitutive_source_maxSizeDotState,size(B),maxval(phase_Nsources)) :: source_RKdotState real(pReal), dimension(constitutive_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState - nonlocalBroken = .false. - !$OMP PARALLEL DO PRIVATE(sizeDotState,p,c,plastic_RKdotState,source_RKdotState,broken) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - do g = 1,homogenization_Ngrains(material_homogenizationAt(e)) - broken = .false. - p = material_phaseAt(g,e) - if(todo(g,i,e) .and. .not. (nonlocalBroken .and. plasticState(p)%nonlocal)) then + p = material_phaseAt(g,e) + c = material_phaseMemberAt(g,i,e) - c = material_phaseMemberAt(g,i,e) + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partitionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partitionedFp0, & + crystallite_subdt(g,i,e), g,i,e,p,c) + if(broken) return - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e), g,i,e,p,c) - if(broken) cycle + do stage = 1,size(A,1) + sizeDotState = plasticState(p)%sizeDotState + plastic_RKdotState(1:sizeDotState,stage) = plasticState(p)%dotState(:,c) + plasticState(p)%dotState(:,c) = A(1,stage) * plastic_RKdotState(1:sizeDotState,1) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + source_RKdotState(1:sizeDotState,stage,s) = sourceState(p)%p(s)%dotState(:,c) + sourceState(p)%p(s)%dotState(:,c) = A(1,stage) * source_RKdotState(1:sizeDotState,1,s) + enddo - do stage = 1,size(A,1) - sizeDotState = plasticState(p)%sizeDotState - plastic_RKdotState(1:sizeDotState,stage) = plasticState(p)%dotState(:,c) - plasticState(p)%dotState(:,c) = A(1,stage) * plastic_RKdotState(1:sizeDotState,1) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - source_RKdotState(1:sizeDotState,stage,s) = sourceState(p)%p(s)%dotState(:,c) - sourceState(p)%p(s)%dotState(:,c) = A(1,stage) * source_RKdotState(1:sizeDotState,1,s) - enddo + do n = 2, stage + sizeDotState = plasticState(p)%sizeDotState + plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) & + + A(n,stage) * plastic_RKdotState(1:sizeDotState,n) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) & + + A(n,stage) * source_RKdotState(1:sizeDotState,n,s) + enddo + enddo - do n = 2, stage - sizeDotState = plasticState(p)%sizeDotState - plasticState(p)%dotState(:,c) = plasticState(p)%dotState(:,c) & - + A(n,stage) * plastic_RKdotState(1:sizeDotState,n) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%dotState(:,c) = sourceState(p)%p(s)%dotState(:,c) & - + A(n,stage) * source_RKdotState(1:sizeDotState,n,s) - enddo - enddo - - sizeDotState = plasticState(p)%sizeDotState - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - enddo - - broken = integrateStress(g,i,e,CC(stage)) - if(broken) exit - - broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_partionedF0, & - crystallite_Fi(1:3,1:3,g,i,e), & - crystallite_partionedFp0, & - crystallite_subdt(g,i,e)*CC(stage), g,i,e,p,c) - if(broken) exit - - enddo - if(broken) cycle - - sizeDotState = plasticState(p)%sizeDotState - - plastic_RKdotState(1:sizeDotState,size(B)) = plasticState (p)%dotState(:,c) - plasticState(p)%dotState(:,c) = matmul(plastic_RKdotState(1:sizeDotState,1:size(B)),B) - plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & - + plasticState(p)%dotState (1:sizeDotState,c) & + sizeDotState = plasticState(p)%sizeDotState + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & * crystallite_subdt(g,i,e) - if(present(DB)) & - broken = .not. converged( matmul(plastic_RKdotState(1:sizeDotState,1:size(DB)),DB) & - * crystallite_subdt(g,i,e), & - plasticState(p)%state(1:sizeDotState,c), & - plasticState(p)%atol(1:sizeDotState)) + enddo - do s = 1, phase_Nsources(p) - sizeDotState = sourceState(p)%p(s)%sizeDotState + broken = integrateStress(g,i,e,CC(stage)) + if(broken) exit - source_RKdotState(1:sizeDotState,size(B),s) = sourceState(p)%p(s)%dotState(:,c) - sourceState(p)%p(s)%dotState(:,c) = matmul(source_RKdotState(1:sizeDotState,1:size(B),s),B) - sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & - + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & - * crystallite_subdt(g,i,e) - if(present(DB)) & - broken = broken .or. .not. converged(matmul(source_RKdotState(1:sizeDotState,1:size(DB),s),DB) & - * crystallite_subdt(g,i,e), & - sourceState(p)%p(s)%state(1:sizeDotState,c), & - sourceState(p)%p(s)%atol(1:sizeDotState)) - enddo - if(broken) cycle + broken = constitutive_collectDotState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_partitionedF0, & + crystallite_Fi(1:3,1:3,g,i,e), & + crystallite_partitionedFp0, & + crystallite_subdt(g,i,e)*CC(stage), g,i,e,p,c) + if(broken) exit - broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & - crystallite_Fe(1:3,1:3,g,i,e), & - crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) - if(broken) cycle + enddo + if(broken) return - broken = integrateStress(g,i,e) - crystallite_converged(g,i,e) = .not. broken + sizeDotState = plasticState(p)%sizeDotState - endif - if(broken .and. plasticState(p)%nonlocal) nonlocalBroken = .true. - enddo; enddo; enddo - !$OMP END PARALLEL DO + plastic_RKdotState(1:sizeDotState,size(B)) = plasticState (p)%dotState(:,c) + plasticState(p)%dotState(:,c) = matmul(plastic_RKdotState(1:sizeDotState,1:size(B)),B) + plasticState(p)%state(1:sizeDotState,c) = plasticState(p)%subState0(1:sizeDotState,c) & + + plasticState(p)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + if(present(DB)) & + broken = .not. converged( matmul(plastic_RKdotState(1:sizeDotState,1:size(DB)),DB) & + * crystallite_subdt(g,i,e), & + plasticState(p)%state(1:sizeDotState,c), & + plasticState(p)%atol(1:sizeDotState)) + + do s = 1, phase_Nsources(p) + sizeDotState = sourceState(p)%p(s)%sizeDotState + + source_RKdotState(1:sizeDotState,size(B),s) = sourceState(p)%p(s)%dotState(:,c) + sourceState(p)%p(s)%dotState(:,c) = matmul(source_RKdotState(1:sizeDotState,1:size(B),s),B) + sourceState(p)%p(s)%state(1:sizeDotState,c) = sourceState(p)%p(s)%subState0(1:sizeDotState,c) & + + sourceState(p)%p(s)%dotState (1:sizeDotState,c) & + * crystallite_subdt(g,i,e) + if(present(DB)) & + broken = broken .or. .not. converged(matmul(source_RKdotState(1:sizeDotState,1:size(DB),s),DB) & + * crystallite_subdt(g,i,e), & + sourceState(p)%p(s)%state(1:sizeDotState,c), & + sourceState(p)%p(s)%atol(1:sizeDotState)) + enddo + if(broken) return + + broken = constitutive_deltaState(crystallite_S(1:3,1:3,g,i,e), & + crystallite_Fe(1:3,1:3,g,i,e), & + crystallite_Fi(1:3,1:3,g,i,e),g,i,e,p,c) + if(broken) return + + broken = integrateStress(g,i,e) + crystallite_converged(g,i,e) = .not. broken - if(nonlocalBroken) call nonlocalConvergenceCheck end subroutine integrateStateRK -!-------------------------------------------------------------------------------------------------- -!> @brief sets convergence flag for nonlocal calculations -!> @details one non-converged nonlocal sets all other nonlocals to non-converged to trigger cut back -!-------------------------------------------------------------------------------------------------- -subroutine nonlocalConvergenceCheck - - integer :: e,i,p - - !$OMP PARALLEL DO PRIVATE(p) - do e = FEsolving_execElem(1),FEsolving_execElem(2) - p = material_phaseAt(1,e) - do i = FEsolving_execIP(1),FEsolving_execIP(2) - if(plasticState(p)%nonlocal) crystallite_converged(1,i,e) = .false. - enddo - enddo - !$OMP END PARALLEL DO - -end subroutine nonlocalConvergenceCheck - - !-------------------------------------------------------------------------------------------------- !> @brief determines whether a point is converged !-------------------------------------------------------------------------------------------------- @@ -1539,27 +1541,27 @@ subroutine crystallite_restartWrite integer(HID_T) :: fileHandle, groupHandle character(len=pStringLen) :: fileName, datasetName - write(6,'(a)') ' writing field and constitutive data required for restart to file';flush(6) + print*, ' writing field and constitutive data required for restart to file';flush(IO_STDOUT) write(fileName,'(a,i0,a)') trim(getSolverJobName())//'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName,'a') - call HDF5_write(fileHandle,crystallite_partionedF,'F') - call HDF5_write(fileHandle,crystallite_Fp, 'Fp') - call HDF5_write(fileHandle,crystallite_Fi, 'Fi') - call HDF5_write(fileHandle,crystallite_Lp, 'Lp') - call HDF5_write(fileHandle,crystallite_Li, 'Li') - call HDF5_write(fileHandle,crystallite_S, 'S') + call HDF5_write(fileHandle,crystallite_partitionedF,'F') + call HDF5_write(fileHandle,crystallite_Fp, 'F_p') + call HDF5_write(fileHandle,crystallite_Fi, 'F_i') + call HDF5_write(fileHandle,crystallite_Lp, 'L_p') + call HDF5_write(fileHandle,crystallite_Li, 'L_i') + call HDF5_write(fileHandle,crystallite_S, 'S') groupHandle = HDF5_addGroup(fileHandle,'constituent') - do i = 1,size(phase_plasticity) + do i = 1,size(material_name_phase) write(datasetName,'(i0,a)') i,'_omega_plastic' call HDF5_write(groupHandle,plasticState(i)%state,datasetName) enddo call HDF5_closeGroup(groupHandle) groupHandle = HDF5_addGroup(fileHandle,'materialpoint') - do i = 1, material_Nhomogenization + do i = 1, size(material_name_homogenization) write(datasetName,'(i0,a)') i,'_omega_homogenization' call HDF5_write(groupHandle,homogState(i)%state,datasetName) enddo @@ -1580,27 +1582,27 @@ subroutine crystallite_restartRead integer(HID_T) :: fileHandle, groupHandle character(len=pStringLen) :: fileName, datasetName - write(6,'(/,a,i0,a)') ' reading restart information of increment from file' + print'(/,a,i0,a)', ' reading restart information of increment from file' write(fileName,'(a,i0,a)') trim(getSolverJobName())//'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName) call HDF5_read(fileHandle,crystallite_F0, 'F') - call HDF5_read(fileHandle,crystallite_Fp0,'Fp') - call HDF5_read(fileHandle,crystallite_Fi0,'Fi') - call HDF5_read(fileHandle,crystallite_Lp0,'Lp') - call HDF5_read(fileHandle,crystallite_Li0,'Li') + call HDF5_read(fileHandle,crystallite_Fp0,'F_p') + call HDF5_read(fileHandle,crystallite_Fi0,'F_i') + call HDF5_read(fileHandle,crystallite_Lp0,'L_p') + call HDF5_read(fileHandle,crystallite_Li0,'L_i') call HDF5_read(fileHandle,crystallite_S0, 'S') groupHandle = HDF5_openGroup(fileHandle,'constituent') - do i = 1,size(phase_plasticity) + do i = 1,size(material_name_phase) write(datasetName,'(i0,a)') i,'_omega_plastic' call HDF5_read(groupHandle,plasticState(i)%state0,datasetName) enddo call HDF5_closeGroup(groupHandle) groupHandle = HDF5_openGroup(fileHandle,'materialpoint') - do i = 1, material_Nhomogenization + do i = 1,size(material_name_homogenization) write(datasetName,'(i0,a)') i,'_omega_homogenization' call HDF5_read(groupHandle,homogState(i)%state0,datasetName) enddo @@ -1619,7 +1621,7 @@ subroutine crystallite_forward integer :: i, j - crystallite_F0 = crystallite_partionedF + crystallite_F0 = crystallite_partitionedF crystallite_Fp0 = crystallite_Fp crystallite_Lp0 = crystallite_Lp crystallite_Fi0 = crystallite_Fi @@ -1633,7 +1635,7 @@ subroutine crystallite_forward do j = 1,phase_Nsources(i) sourceState(i)%p(j)%state0 = sourceState(i)%p(j)%state enddo; enddo - do i = 1, material_Nhomogenization + do i = 1,size(material_name_homogenization) homogState (i)%state0 = homogState (i)%state thermalState(i)%state0 = thermalState(i)%state damageState (i)%state0 = damageState (i)%state diff --git a/src/damage_local.f90 b/src/damage_local.f90 index 1c2f51056..e63db90b0 100644 --- a/src/damage_local.f90 +++ b/src/damage_local.f90 @@ -4,13 +4,11 @@ !-------------------------------------------------------------------------------------------------- module damage_local use prec + use IO use material use config - use numerics - use source_damage_isoBrittle - use source_damage_isoDuctile - use source_damage_anisoBrittle - use source_damage_anisoDuctile + use YAML_types + use constitutive use results implicit none @@ -21,9 +19,16 @@ module damage_local output end type tParameters + type, private :: tNumerics + real(pReal) :: & + residualStiffness !< non-zero residual damage + end type tNumerics + type(tparameters), dimension(:), allocatable :: & param + type(tNumerics), private :: num + public :: & damage_local_init, & damage_local_updateState, & @@ -37,24 +42,42 @@ contains !-------------------------------------------------------------------------------------------------- subroutine damage_local_init - integer :: Ninstance,NofMyHomog,h + integer :: Ninstances,Nmaterialpoints,h + class(tNode), pointer :: & + num_generic, & + material_homogenization, & + homog, & + homogDamage - write(6,'(/,a)') ' <<<+- damage_'//DAMAGE_local_label//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- damage_local init -+>>>'; flush(IO_STDOUT) - Ninstance = count(damage_type == DAMAGE_local_ID) - allocate(param(Ninstance)) +!---------------------------------------------------------------------------------------------- +! read numerics parameter and do sanity check + num_generic => config_numerics%get('generic',defaultVal=emptyDict) + num%residualStiffness = num_generic%get_asFloat('residualStiffness', defaultVal=1.0e-6_pReal) + if (num%residualStiffness < 0.0_pReal) call IO_error(301,ext_msg='residualStiffness') - do h = 1, size(config_homogenization) + Ninstances = count(damage_type == DAMAGE_local_ID) + allocate(param(Ninstances)) + + material_homogenization => config_material%get('homogenization') + do h = 1, material_homogenization%length if (damage_type(h) /= DAMAGE_LOCAL_ID) cycle - associate(prm => param(damage_typeInstance(h)),config => config_homogenization(h)) + homog => material_homogenization%get(h) + homogDamage => homog%get('damage') + associate(prm => param(damage_typeInstance(h))) - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(homogDamage) +#else + prm%output = homogDamage%get_asStrings('output',defaultVal=emptyStringArray) +#endif - NofMyHomog = count(material_homogenizationAt == h) + Nmaterialpoints = count(material_homogenizationAt == h) damageState(h)%sizeState = 1 - allocate(damageState(h)%state0 (1,NofMyHomog), source=damage_initialPhi(h)) - allocate(damageState(h)%subState0(1,NofMyHomog), source=damage_initialPhi(h)) - allocate(damageState(h)%state (1,NofMyHomog), source=damage_initialPhi(h)) + allocate(damageState(h)%state0 (1,Nmaterialpoints), source=damage_initialPhi(h)) + allocate(damageState(h)%subState0(1,Nmaterialpoints), source=damage_initialPhi(h)) + allocate(damageState(h)%state (1,Nmaterialpoints), source=damage_initialPhi(h)) nullify(damageMapping(h)%p) damageMapping(h)%p => material_homogenizationMemberAt @@ -89,12 +112,12 @@ function damage_local_updateState(subdt, ip, el) offset = material_homogenizationMemberAt(ip,el) phi = damageState(homog)%subState0(1,offset) call damage_local_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, phi, ip, el) - phi = max(residualStiffness,min(1.0_pReal,phi + subdt*phiDot)) + phi = max(num%residualStiffness,min(1.0_pReal,phi + subdt*phiDot)) damage_local_updateState = [ abs(phi - damageState(homog)%state(1,offset)) & - <= err_damage_tolAbs & + <= 1.0e-2_pReal & .or. abs(phi - damageState(homog)%state(1,offset)) & - <= err_damage_tolRel*abs(damageState(homog)%state(1,offset)), & + <= 1.0e-6_pReal*abs(damageState(homog)%state(1,offset)), & .true.] damageState(homog)%state(1,offset) = phi @@ -112,45 +135,16 @@ subroutine damage_local_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, phi, ip, el el !< element number real(pReal), intent(in) :: & phi - integer :: & - phase, & - grain, & - source, & - constituent real(pReal) :: & - phiDot, dPhiDot_dPhi, localphiDot, dLocalphiDot_dPhi + phiDot, dPhiDot_dPhi phiDot = 0.0_pReal dPhiDot_dPhi = 0.0_pReal - do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) - phase = material_phaseAt(grain,el) - constituent = material_phasememberAt(grain,ip,el) - do source = 1, phase_Nsources(phase) - select case(phase_source(source,phase)) - case (SOURCE_damage_isoBrittle_ID) - call source_damage_isobrittle_getRateAndItsTangent (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) + + call constitutive_damage_getRateAndItsTangents(phiDot, dPhiDot_dPhi, phi, ip, el) - case (SOURCE_damage_isoDuctile_ID) - call source_damage_isoductile_getRateAndItsTangent (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) - - case (SOURCE_damage_anisoBrittle_ID) - call source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) - - case (SOURCE_damage_anisoDuctile_ID) - call source_damage_anisoductile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) - - case default - localphiDot = 0.0_pReal - dLocalphiDot_dPhi = 0.0_pReal - - end select - phiDot = phiDot + localphiDot - dPhiDot_dPhi = dPhiDot_dPhi + dLocalphiDot_dPhi - enddo - enddo - - phiDot = phiDot/real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) - dPhiDot_dPhi = dPhiDot_dPhi/real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + phiDot = phiDot/real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) + dPhiDot_dPhi = dPhiDot_dPhi/real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end subroutine damage_local_getSourceAndItsTangent @@ -168,8 +162,8 @@ subroutine damage_local_results(homog,group) associate(prm => param(damage_typeInstance(homog))) outputsLoop: do o = 1,size(prm%output) select case(prm%output(o)) - case ('damage') - call results_writeDataset(group,damage(homog)%p,'phi',& + case ('phi') + call results_writeDataset(group,damage(homog)%p,prm%output(o),& 'damage indicator','-') end select enddo outputsLoop diff --git a/src/damage_none.f90 b/src/damage_none.f90 index b8a9bd7b5..2279bc06b 100644 --- a/src/damage_none.f90 +++ b/src/damage_none.f90 @@ -16,18 +16,18 @@ contains !-------------------------------------------------------------------------------------------------- subroutine damage_none_init - integer :: h,NofMyHomog + integer :: h,Nmaterialpoints - write(6,'(/,a)') ' <<<+- damage_'//DAMAGE_NONE_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- damage_none init -+>>>'; flush(6) - do h = 1, size(config_homogenization) + do h = 1, size(material_name_homogenization) if (damage_type(h) /= DAMAGE_NONE_ID) cycle - NofMyHomog = count(material_homogenizationAt == h) + Nmaterialpoints = count(material_homogenizationAt == h) damageState(h)%sizeState = 0 - allocate(damageState(h)%state0 (0,NofMyHomog)) - allocate(damageState(h)%subState0(0,NofMyHomog)) - allocate(damageState(h)%state (0,NofMyHomog)) + allocate(damageState(h)%state0 (0,Nmaterialpoints)) + allocate(damageState(h)%subState0(0,Nmaterialpoints)) + allocate(damageState(h)%state (0,Nmaterialpoints)) deallocate(damage(h)%p) allocate (damage(h)%p(1), source=damage_initialPhi(h)) diff --git a/src/damage_nonlocal.f90 b/src/damage_nonlocal.f90 index 9644211c4..24a51cf54 100644 --- a/src/damage_nonlocal.f90 +++ b/src/damage_nonlocal.f90 @@ -6,13 +6,10 @@ module damage_nonlocal use prec use material use config - use numerics + use YAML_types use crystallite use lattice - use source_damage_isoBrittle - use source_damage_isoDuctile - use source_damage_anisoBrittle - use source_damage_anisoDuctile + use constitutive use results implicit none @@ -23,8 +20,15 @@ module damage_nonlocal output end type tParameters + type, private :: tNumerics + real(pReal) :: & + charLength !< characteristic length scale for gradient problems + end type tNumerics + type(tparameters), dimension(:), allocatable :: & param + type(tNumerics), private :: & + num public :: & damage_nonlocal_init, & @@ -42,24 +46,41 @@ contains !-------------------------------------------------------------------------------------------------- subroutine damage_nonlocal_init - integer :: Ninstance,NofMyHomog,h + integer :: Ninstances,Nmaterialpoints,h + class(tNode), pointer :: & + num_generic, & + material_homogenization, & + homog, & + homogDamage - write(6,'(/,a)') ' <<<+- damage_'//DAMAGE_nonlocal_label//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- damage_nonlocal init -+>>>'; flush(6) - Ninstance = count(damage_type == DAMAGE_nonlocal_ID) - allocate(param(Ninstance)) +!------------------------------------------------------------------------------------ +! read numerics parameter + num_generic => config_numerics%get('generic',defaultVal= emptyDict) + num%charLength = num_generic%get_asFloat('charLength',defaultVal=1.0_pReal) - do h = 1, size(config_homogenization) + Ninstances = count(damage_type == DAMAGE_nonlocal_ID) + allocate(param(Ninstances)) + + material_homogenization => config_material%get('homogenization') + do h = 1, material_homogenization%length if (damage_type(h) /= DAMAGE_NONLOCAL_ID) cycle - associate(prm => param(damage_typeInstance(h)),config => config_homogenization(h)) + homog => material_homogenization%get(h) + homogDamage => homog%get('damage') + associate(prm => param(damage_typeInstance(h))) - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(homogDamage) +#else + prm%output = homogDamage%get_asStrings('output',defaultVal=emptyStringArray) +#endif - NofMyHomog = count(material_homogenizationAt == h) + Nmaterialpoints = count(material_homogenizationAt == h) damageState(h)%sizeState = 1 - allocate(damageState(h)%state0 (1,NofMyHomog), source=damage_initialPhi(h)) - allocate(damageState(h)%subState0(1,NofMyHomog), source=damage_initialPhi(h)) - allocate(damageState(h)%state (1,NofMyHomog), source=damage_initialPhi(h)) + allocate(damageState(h)%state0 (1,Nmaterialpoints), source=damage_initialPhi(h)) + allocate(damageState(h)%subState0(1,Nmaterialpoints), source=damage_initialPhi(h)) + allocate(damageState(h)%state (1,Nmaterialpoints), source=damage_initialPhi(h)) nullify(damageMapping(h)%p) damageMapping(h)%p => material_homogenizationMemberAt @@ -82,45 +103,15 @@ subroutine damage_nonlocal_getSourceAndItsTangent(phiDot, dPhiDot_dPhi, phi, ip, el !< element number real(pReal), intent(in) :: & phi - integer :: & - phase, & - grain, & - source, & - constituent real(pReal) :: & - phiDot, dPhiDot_dPhi, localphiDot, dLocalphiDot_dPhi + phiDot, dPhiDot_dPhi phiDot = 0.0_pReal dPhiDot_dPhi = 0.0_pReal - do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) - phase = material_phaseAt(grain,el) - constituent = material_phasememberAt(grain,ip,el) - do source = 1, phase_Nsources(phase) - select case(phase_source(source,phase)) - case (SOURCE_damage_isoBrittle_ID) - call source_damage_isobrittle_getRateAndItsTangent (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) - - case (SOURCE_damage_isoDuctile_ID) - call source_damage_isoductile_getRateAndItsTangent (localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) - - case (SOURCE_damage_anisoBrittle_ID) - call source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) - - case (SOURCE_damage_anisoDuctile_ID) - call source_damage_anisoductile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) - - case default - localphiDot = 0.0_pReal - dLocalphiDot_dPhi = 0.0_pReal - - end select - phiDot = phiDot + localphiDot - dPhiDot_dPhi = dPhiDot_dPhi + dLocalphiDot_dPhi - enddo - enddo - - phiDot = phiDot/real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) - dPhiDot_dPhi = dPhiDot_dPhi/real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + + call constitutive_damage_getRateAndItsTangents(phiDot, dPhiDot_dPhi, phi, ip, el) + phiDot = phiDot/real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) + dPhiDot_dPhi = dPhiDot_dPhi/real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end subroutine damage_nonlocal_getSourceAndItsTangent @@ -141,13 +132,13 @@ function damage_nonlocal_getDiffusion(ip,el) homog = material_homogenizationAt(el) damage_nonlocal_getDiffusion = 0.0_pReal - do grain = 1, homogenization_Ngrains(homog) + do grain = 1, homogenization_Nconstituents(homog) damage_nonlocal_getDiffusion = damage_nonlocal_getDiffusion + & - crystallite_push33ToRef(grain,ip,el,lattice_DamageDiffusion(1:3,1:3,material_phaseAt(grain,el))) + crystallite_push33ToRef(grain,ip,el,lattice_D(1:3,1:3,material_phaseAt(grain,el))) enddo damage_nonlocal_getDiffusion = & - charLength**2*damage_nonlocal_getDiffusion/real(homogenization_Ngrains(homog),pReal) + num%charLength**2*damage_nonlocal_getDiffusion/real(homogenization_Nconstituents(homog),pReal) end function damage_nonlocal_getDiffusion @@ -165,12 +156,12 @@ real(pReal) function damage_nonlocal_getMobility(ip,el) damage_nonlocal_getMobility = 0.0_pReal - do ipc = 1, homogenization_Ngrains(material_homogenizationAt(el)) - damage_nonlocal_getMobility = damage_nonlocal_getMobility + lattice_DamageMobility(material_phaseAt(ipc,el)) + do ipc = 1, homogenization_Nconstituents(material_homogenizationAt(el)) + damage_nonlocal_getMobility = damage_nonlocal_getMobility + lattice_M(material_phaseAt(ipc,el)) enddo damage_nonlocal_getMobility = damage_nonlocal_getMobility/& - real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end function damage_nonlocal_getMobility @@ -209,8 +200,8 @@ subroutine damage_nonlocal_results(homog,group) associate(prm => param(damage_typeInstance(homog))) outputsLoop: do o = 1,size(prm%output) select case(prm%output(o)) - case ('damage') - call results_writeDataset(group,damage(homog)%p,'phi',& + case ('phi') + call results_writeDataset(group,damage(homog)%p,prm%output(o),& 'damage indicator','-') end select enddo outputsLoop diff --git a/src/debug.f90 b/src/debug.f90 deleted file mode 100644 index a0947c410..000000000 --- a/src/debug.f90 +++ /dev/null @@ -1,271 +0,0 @@ -!-------------------------------------------------------------------------------------------------- -!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH -!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH -!> @author Christoph Kords, Max-Planck-Institut für Eisenforschung GmbH -!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH -!> @brief Reading in and interpretating the debugging settings for the various modules -!-------------------------------------------------------------------------------------------------- -module debug - use prec - use IO - - implicit none - private - - integer, parameter, public :: & - debug_LEVELSELECTIVE = 2**0, & - debug_LEVELBASIC = 2**1, & - debug_LEVELEXTENSIVE = 2**2 - integer, parameter, private :: & - debug_MAXGENERAL = debug_LEVELEXTENSIVE ! must be set to the last bitcode used by (potentially) all debug types - integer, parameter, public :: & - debug_SPECTRALRESTART = debug_MAXGENERAL*2**1, & - debug_SPECTRALFFTW = debug_MAXGENERAL*2**2, & - debug_SPECTRALDIVERGENCE = debug_MAXGENERAL*2**3, & - debug_SPECTRALROTATION = debug_MAXGENERAL*2**4, & - debug_SPECTRALPETSC = debug_MAXGENERAL*2**5 - - integer, parameter, public :: & - debug_DEBUG = 1, & - debug_MATH = 2, & - debug_FESOLVING = 3, & - debug_MESH = 4, & !< stores debug level for mesh part of DAMASK bitwise coded - debug_MATERIAL = 5, & !< stores debug level for material part of DAMASK bitwise coded - debug_LATTICE = 6, & !< stores debug level for lattice part of DAMASK bitwise coded - debug_CONSTITUTIVE = 7, & !< stores debug level for constitutive part of DAMASK bitwise coded - debug_CRYSTALLITE = 8, & - debug_HOMOGENIZATION = 9, & - debug_CPFEM = 10, & - debug_SPECTRAL = 11, & - debug_MARC = 12 - integer, parameter, private :: & - debug_MAXNTYPE = debug_MARC !< must be set to the maximum defined debug type - - integer,protected, dimension(debug_maxNtype+2), public :: & ! specific ones, and 2 for "all" and "other" - debug_level = 0 - - integer, protected, public :: & - debug_e = 1, & - debug_i = 1, & - debug_g = 1 - - integer, dimension(2), public :: & - debug_stressMaxLocation = 0, & - debug_stressMinLocation = 0, & - debug_jacobianMaxLocation = 0, & - debug_jacobianMinLocation = 0 - - - real(pReal), public :: & - debug_stressMax = -huge(1.0_pReal), & - debug_stressMin = huge(1.0_pReal), & - debug_jacobianMax = -huge(1.0_pReal), & - debug_jacobianMin = huge(1.0_pReal) - -#ifdef PETSc - character(len=1024), parameter, public :: & - PETSCDEBUG = ' -snes_view -snes_monitor ' -#endif - public :: debug_init, & - debug_reset, & - debug_info - -contains - - -!-------------------------------------------------------------------------------------------------- -!> @brief reads in parameters from debug.config and allocates arrays -!-------------------------------------------------------------------------------------------------- -subroutine debug_init - - character(len=pStringLen), dimension(:), allocatable :: fileContent - - integer :: i, what, j - integer, allocatable, dimension(:) :: chunkPos - character(len=pStringLen) :: tag, line - logical :: fexist - - write(6,'(/,a)') ' <<<+- debug init -+>>>' -#ifdef DEBUG - write(6,'(a)') achar(27)//'[31m <<<+- DEBUG version -+>>>'//achar(27)//'[0m' -#endif - - - inquire(file='debug.config', exist=fexist) - - fileExists: if (fexist) then - fileContent = IO_read_ASCII('debug.config') - do j=1, size(fileContent) - line = fileContent(j) - if (IO_isBlank(line)) cycle ! skip empty lines - chunkPos = IO_stringPos(line) - tag = IO_lc(IO_stringValue(line,chunkPos,1)) ! extract key - select case(tag) - case ('element','e','el') - debug_e = IO_intValue(line,chunkPos,2) - case ('integrationpoint','i','ip') - debug_i = IO_intValue(line,chunkPos,2) - case ('grain','g','gr') - debug_g = IO_intValue(line,chunkPos,2) - end select - - what = 0 - select case(tag) - case ('debug') - what = debug_DEBUG - case ('math') - what = debug_MATH - case ('fesolving', 'fe') - what = debug_FESOLVING - case ('mesh') - what = debug_MESH - case ('material') - what = debug_MATERIAL - case ('lattice') - what = debug_LATTICE - case ('constitutive') - what = debug_CONSTITUTIVE - case ('crystallite') - what = debug_CRYSTALLITE - case ('homogenization') - what = debug_HOMOGENIZATION - case ('cpfem') - what = debug_CPFEM - case ('spectral') - what = debug_SPECTRAL - case ('marc') - what = debug_MARC - case ('all') - what = debug_MAXNTYPE + 1 - case ('other') - what = debug_MAXNTYPE + 2 - end select - if (what /= 0) then - do i = 2, chunkPos(1) - select case(IO_lc(IO_stringValue(line,chunkPos,i))) - case('basic') - debug_level(what) = ior(debug_level(what), debug_LEVELBASIC) - case('extensive') - debug_level(what) = ior(debug_level(what), debug_LEVELEXTENSIVE) - case('selective') - debug_level(what) = ior(debug_level(what), debug_LEVELSELECTIVE) - case('restart') - debug_level(what) = ior(debug_level(what), debug_SPECTRALRESTART) - case('fft','fftw') - debug_level(what) = ior(debug_level(what), debug_SPECTRALFFTW) - case('divergence') - debug_level(what) = ior(debug_level(what), debug_SPECTRALDIVERGENCE) - case('rotation') - debug_level(what) = ior(debug_level(what), debug_SPECTRALROTATION) - case('petsc') - debug_level(what) = ior(debug_level(what), debug_SPECTRALPETSC) - end select - enddo - endif - enddo - - do i = 1, debug_maxNtype - if (debug_level(i) == 0) & - debug_level(i) = ior(debug_level(i), debug_level(debug_MAXNTYPE + 2)) ! fill undefined debug types with levels specified by "other" - - debug_level(i) = ior(debug_level(i), debug_level(debug_MAXNTYPE + 1)) ! fill all debug types with levels specified by "all" - enddo - - if (iand(debug_level(debug_debug),debug_LEVELBASIC) /= 0) & - write(6,'(a,/)') ' using values from config file' - else fileExists - if (iand(debug_level(debug_debug),debug_LEVELBASIC) /= 0) & - write(6,'(a,/)') ' using standard values' - endif fileExists - -!-------------------------------------------------------------------------------------------------- -! output switched on (debug level for debug must be extensive) - if (iand(debug_level(debug_debug),debug_LEVELEXTENSIVE) /= 0) then - do i = 1, debug_MAXNTYPE - select case(i) - case (debug_DEBUG) - tag = ' Debug' - case (debug_MATH) - tag = ' Math' - case (debug_FESOLVING) - tag = ' FEsolving' - case (debug_MESH) - tag = ' Mesh' - case (debug_MATERIAL) - tag = ' Material' - case (debug_LATTICE) - tag = ' Lattice' - case (debug_CONSTITUTIVE) - tag = ' Constitutive' - case (debug_CRYSTALLITE) - tag = ' Crystallite' - case (debug_HOMOGENIZATION) - tag = ' Homogenizaiton' - case (debug_CPFEM) - tag = ' CPFEM' - case (debug_SPECTRAL) - tag = ' Spectral solver' - case (debug_MARC) - tag = ' MSC.MARC FEM solver' - end select - - if(debug_level(i) /= 0) then - write(6,'(3a)') ' debug level for ', trim(tag), ':' - if(iand(debug_level(i),debug_LEVELBASIC) /= 0) write(6,'(a)') ' basic' - if(iand(debug_level(i),debug_LEVELEXTENSIVE) /= 0) write(6,'(a)') ' extensive' - if(iand(debug_level(i),debug_LEVELSELECTIVE) /= 0) then - write(6,'(a)') ' selective on:' - write(6,'(a24,1x,i8)') ' element: ',debug_e - write(6,'(a24,1x,i8)') ' ip: ',debug_i - write(6,'(a24,1x,i8)') ' grain: ',debug_g - endif - if(iand(debug_level(i),debug_SPECTRALRESTART) /= 0) write(6,'(a)') ' restart' - if(iand(debug_level(i),debug_SPECTRALFFTW) /= 0) write(6,'(a)') ' FFTW' - if(iand(debug_level(i),debug_SPECTRALDIVERGENCE)/= 0) write(6,'(a)') ' divergence' - if(iand(debug_level(i),debug_SPECTRALROTATION) /= 0) write(6,'(a)') ' rotation' - if(iand(debug_level(i),debug_SPECTRALPETSC) /= 0) write(6,'(a)') ' PETSc' - endif - enddo - endif - -end subroutine debug_init - - -!-------------------------------------------------------------------------------------------------- -!> @brief resets all debug values -!-------------------------------------------------------------------------------------------------- -subroutine debug_reset - - debug_stressMaxLocation = 0 - debug_stressMinLocation = 0 - debug_jacobianMaxLocation = 0 - debug_jacobianMinLocation = 0 - debug_stressMax = -huge(1.0_pReal) - debug_stressMin = huge(1.0_pReal) - debug_jacobianMax = -huge(1.0_pReal) - debug_jacobianMin = huge(1.0_pReal) - -end subroutine debug_reset - - -!-------------------------------------------------------------------------------------------------- -!> @brief writes debug statements to standard out -!-------------------------------------------------------------------------------------------------- -subroutine debug_info - - !$OMP CRITICAL (write2out) - debugOutputCPFEM: if (iand(debug_level(debug_CPFEM),debug_LEVELBASIC) /= 0 & - .and. any(debug_stressMinLocation /= 0) & - .and. any(debug_stressMaxLocation /= 0) ) then - write(6,'(2/,a,/)') ' Extreme values of returned stress and Jacobian' - write(6,'(a39)') ' value el ip' - write(6,'(a14,1x,e12.3,1x,i8,1x,i4)') ' stress min :', debug_stressMin, debug_stressMinLocation - write(6,'(a14,1x,e12.3,1x,i8,1x,i4)') ' max :', debug_stressMax, debug_stressMaxLocation - write(6,'(a14,1x,e12.3,1x,i8,1x,i4)') ' Jacobian min :', debug_jacobianMin, debug_jacobianMinLocation - write(6,'(a14,1x,e12.3,1x,i8,1x,i4,/)') ' max :', debug_jacobianMax, debug_jacobianMaxLocation - endif debugOutputCPFEM - !$OMP END CRITICAL (write2out) - -end subroutine debug_info - -end module debug diff --git a/src/discretization.f90 b/src/discretization.f90 index e9a987912..0b8925e4a 100644 --- a/src/discretization.f90 +++ b/src/discretization.f90 @@ -11,12 +11,11 @@ module discretization private integer, public, protected :: & - discretization_nIP, & - discretization_nElem + discretization_nIPs, & + discretization_Nelems integer, public, protected, dimension(:), allocatable :: & - discretization_homogenizationAt, & - discretization_microstructureAt + discretization_materialAt real(pReal), public, protected, dimension(:,:), allocatable :: & discretization_IPcoords0, & @@ -38,26 +37,24 @@ contains !-------------------------------------------------------------------------------------------------- !> @brief stores the relevant information in globally accesible variables !-------------------------------------------------------------------------------------------------- -subroutine discretization_init(homogenizationAt,microstructureAt,& +subroutine discretization_init(materialAt,& IPcoords0,NodeCoords0,& sharedNodesBegin) integer, dimension(:), intent(in) :: & - homogenizationAt, & - microstructureAt + materialAt real(pReal), dimension(:,:), intent(in) :: & IPcoords0, & NodeCoords0 integer, optional, intent(in) :: & - sharedNodesBegin + sharedNodesBegin !< index of first node shared among different processes (MPI) - write(6,'(/,a)') ' <<<+- discretization init -+>>>'; flush(6) + print'(/,a)', ' <<<+- discretization init -+>>>'; flush(6) - discretization_nElem = size(microstructureAt,1) - discretization_nIP = size(IPcoords0,2)/discretization_nElem + discretization_Nelems = size(materialAt,1) + discretization_nIPs = size(IPcoords0,2)/discretization_Nelems - discretization_homogenizationAt = homogenizationAt - discretization_microstructureAt = microstructureAt + discretization_materialAt = materialAt discretization_IPcoords0 = IPcoords0 discretization_IPcoords = IPcoords0 diff --git a/src/element.f90 b/src/element.f90 index b474d2e37..722a7fd96 100644 --- a/src/element.f90 +++ b/src/element.f90 @@ -4,9 +4,9 @@ !-------------------------------------------------------------------------------------------------- module element use IO - + implicit none - private + private !--------------------------------------------------------------------------------------------------- !> Properties of a single element @@ -39,7 +39,7 @@ module element integer, parameter :: & NELEMTYPE = 13 - + integer, dimension(NELEMTYPE), parameter :: NNODE = & [ & 3, & ! 2D, 1 IP @@ -57,7 +57,7 @@ module element 20, & ! 3D, 8 IP 20 & ! 3D, 27 IP ] !< number of nodes that constitute a specific type of element - + integer, dimension(NELEMTYPE), parameter :: GEOMTYPE = & [ & 1, & ! 1 triangle @@ -75,7 +75,7 @@ module element 9, & ! 8 hexahedrons 10 & ! 27 hexahedrons ] !< geometry type (same number of cell nodes and IPs) - + integer, dimension(maxval(GEOMTYPE)), parameter :: NCELLNODE = & [ & 3, & @@ -89,21 +89,21 @@ module element 27, & 64 & ] !< number of cell nodes - + integer, dimension(maxval(GEOMTYPE)), parameter :: NIP = & [ & - 1, & - 3, & - 4, & - 9, & - 1, & - 4, & - 6, & - 1, & - 8, & - 27 & + 1, & + 3, & + 4, & + 9, & + 1, & + 4, & + 6, & + 1, & + 8, & + 27 & ] !< number of IPs - + integer, dimension(maxval(GEOMTYPE)), parameter :: CELLTYPE = & [ & 1, & ! 2D, 3 node (Triangle) @@ -147,7 +147,7 @@ module element ! It is sorted in (local) +x,-x, +y,-y, +z,-z direction. ! Positive integers denote an intra-element IP identifier. ! Negative integers denote the interface behind which the neighboring (extra-element) IP will be located. - + integer, dimension(NIPNEIGHBOR(CELLTYPE(1)),NIP(1)), parameter :: IPNEIGHBOR1 = & reshape([& -2,-3,-1 & @@ -156,7 +156,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(1)),NIP(1)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(2)),NIP(2)), parameter :: IPNEIGHBOR2 = & reshape([& 2,-3, 3,-1, & @@ -167,7 +167,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(2)),NIP(2)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(3)),NIP(3)), parameter :: IPNEIGHBOR3 = & reshape([& 2,-4, 3,-1, & @@ -179,7 +179,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(3)),NIP(3)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(4)),NIP(4)), parameter :: IPNEIGHBOR4 = & reshape([& 2,-4, 4,-1, & @@ -196,7 +196,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(4)),NIP(4)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(5)),NIP(5)), parameter :: IPNEIGHBOR5 = & reshape([& -1,-2,-3,-4 & @@ -205,7 +205,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(5)),NIP(5)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(6)),NIP(6)), parameter :: IPNEIGHBOR6 = & reshape([& 2,-4, 3,-2, 4,-1, & @@ -217,7 +217,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(6)),NIP(6)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(7)),NIP(7)), parameter :: IPNEIGHBOR7 = & reshape([& 2,-4, 3,-2, 4,-1, & @@ -231,7 +231,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(7)),NIP(7)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(8)),NIP(8)), parameter :: IPNEIGHBOR8 = & reshape([& -3,-5,-4,-2,-6,-1 & @@ -240,7 +240,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(8)),NIP(8)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(9)),NIP(9)), parameter :: IPNEIGHBOR9 = & reshape([& 2,-5, 3,-2, 5,-1, & @@ -256,7 +256,7 @@ module element #else ],[NIPNEIGHBOR(CELLTYPE(9)),NIP(9)]) #endif - + integer, dimension(NIPNEIGHBOR(CELLTYPE(10)),NIP(10)), parameter :: IPNEIGHBOR10 = & reshape([& 2,-5, 4,-2,10,-1, & @@ -292,7 +292,7 @@ module element ],[NIPNEIGHBOR(CELLTYPE(10)),NIP(10)]) #endif - + integer, dimension(NNODE(1),NCELLNODE(GEOMTYPE(1))), parameter :: CELLNODEPARENTNODEWEIGHTS1 = & reshape([& 1, 0, 0, & @@ -303,7 +303,7 @@ module element #else ],[NNODE(1),NCELLNODE(GEOMTYPE(1))]) #endif - + integer, dimension(NNODE(2),NCELLNODE(GEOMTYPE(2))), parameter :: CELLNODEPARENTNODEWEIGHTS2 = & reshape([& 1, 0, 0, 0, 0, 0, & @@ -318,7 +318,7 @@ module element #else ],[NNODE(2),NCELLNODE(GEOMTYPE(2))]) #endif - + integer, dimension(NNODE(3),NCELLNODE(GEOMTYPE(3))), parameter :: CELLNODEPARENTNODEWEIGHTS3 = & reshape([& 1, 0, 0, 0, & @@ -335,7 +335,7 @@ module element #else ],[NNODE(3),NCELLNODE(GEOMTYPE(3))]) #endif - + integer, dimension(NNODE(4),NCELLNODE(GEOMTYPE(4))), parameter :: CELLNODEPARENTNODEWEIGHTS4 = & reshape([& 1, 0, 0, 0, 0, 0, 0, 0, & @@ -359,7 +359,7 @@ module element #else ],[NNODE(4),NCELLNODE(GEOMTYPE(4))]) #endif - + integer, dimension(NNODE(5),NCELLNODE(GEOMTYPE(5))), parameter :: CELLNODEPARENTNODEWEIGHTS5 = & reshape([& 1, 0, 0, 0, 0, 0, 0, 0, & @@ -376,7 +376,7 @@ module element #else ],[NNODE(5),NCELLNODE(GEOMTYPE(5))]) #endif - + integer, dimension(NNODE(6),NcellNode(GEOMTYPE(6))), parameter :: CELLNODEPARENTNODEWEIGHTS6 = & reshape([& 1, 0, 0, 0, & @@ -388,7 +388,7 @@ module element #else ],[NNODE(6),NcellNode(GEOMTYPE(6))]) #endif - + integer, dimension(NNODE(7),NCELLNODE(GEOMTYPE(7))), parameter :: CELLNODEPARENTNODEWEIGHTS7 = & reshape([& 1, 0, 0, 0, 0, & @@ -411,7 +411,7 @@ module element #else ],[NNODE(7),NCELLNODE(GEOMTYPE(7))]) #endif - + integer, dimension(NNODE(8),NCELLNODE(GEOMTYPE(8))), parameter :: CELLNODEPARENTNODEWEIGHTS8 = & reshape([& 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, & @@ -434,7 +434,7 @@ module element #else ],[NNODE(8),NCELLNODE(GEOMTYPE(8))]) #endif - + integer, dimension(NNODE(9),NCELLNODE(GEOMTYPE(9))), parameter :: CELLNODEPARENTNODEWEIGHTS9 = & reshape([& 1, 0, 0, 0, 0, 0, & @@ -463,7 +463,7 @@ module element #else ],[NNODE(9),NCELLNODE(GEOMTYPE(9))]) #endif - + integer, dimension(NNODE(10),NCELLNODE(GEOMTYPE(10))), parameter :: CELLNODEPARENTNODEWEIGHTS10 = & reshape([& 1, 0, 0, 0, 0, 0, 0, 0, & @@ -479,7 +479,7 @@ module element #else ],[NNODE(10),NCELLNODE(GEOMTYPE(10))]) #endif - + integer, dimension(NNODE(11),NCELLNODE(GEOMTYPE(11))), parameter :: CELLNODEPARENTNODEWEIGHTS11 = & reshape([& 1, 0, 0, 0, 0, 0, 0, 0, & ! @@ -514,7 +514,7 @@ module element #else ],[NNODE(11),NCELLNODE(GEOMTYPE(11))]) #endif - + integer, dimension(NNODE(12),NCELLNODE(GEOMTYPE(12))), parameter :: CELLNODEPARENTNODEWEIGHTS12 = & reshape([& 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! @@ -549,7 +549,7 @@ module element #else ],[NNODE(12),NCELLNODE(GEOMTYPE(12))]) #endif - + integer, dimension(NNODE(13),NCELLNODE(GEOMTYPE(13))), parameter :: CELLNODEPARENTNODEWEIGHTS13 = & reshape([& 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! @@ -621,8 +621,8 @@ module element #else ],[NNODE(13),NCELLNODE(GEOMTYPE(13))]) #endif - - + + integer, dimension(NCELLNODEPERCELL(CELLTYPE(1)),NIP(1)), parameter :: CELL1 = & reshape([& 1,2,3 & @@ -631,7 +631,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(1)),NIP(1)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(2)),NIP(2)), parameter :: CELL2 = & reshape([& 1, 4, 7, 6, & @@ -642,7 +642,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(2)),NIP(2)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(3)),NIP(3)), parameter :: CELL3 = & reshape([& 1, 5, 9, 8, & @@ -654,7 +654,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(3)),NIP(3)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(4)),NIP(4)), parameter :: CELL4 = & reshape([& 1, 5,13,12, & @@ -671,7 +671,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(4)),NIP(4)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(5)),NIP(5)), parameter :: CELL5 = & reshape([& 1, 2, 3, 4 & @@ -680,7 +680,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(5)),NIP(5)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(6)),NIP(6)), parameter :: CELL6 = & reshape([& 1, 5,11, 7, 8,12,15,14, & @@ -692,7 +692,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(6)),NIP(6)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(7)),NIP(7)), parameter :: CELL7 = & reshape([& 1, 7,16, 9,10,17,21,19, & @@ -706,7 +706,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(7)),NIP(7)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(8)),NIP(8)), parameter :: CELL8 = & reshape([& 1, 2, 3, 4, 5, 6, 7, 8 & @@ -715,7 +715,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(8)),NIP(8)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(9)),NIP(9)), parameter :: CELL9 = & reshape([& 1, 9,21,12,17,22,27,25, & @@ -731,7 +731,7 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(9)),NIP(9)]) #endif - + integer, dimension(NCELLNODEPERCELL(CELLTYPE(10)),NIP(10)), parameter :: CELL10 = & reshape([& 1, 9,33,16,17,37,57,44, & @@ -766,8 +766,8 @@ module element #else ],[NCELLNODEPERCELL(CELLTYPE(10)),NIP(10)]) #endif - - + + integer, dimension(NCELLNODEPERCELLFACE(1),NIPNEIGHBOR(1)), parameter :: CELLFACE1 = & reshape([& 2,3, & @@ -778,7 +778,7 @@ module element #else ],[NCELLNODEPERCELLFACE(1),NIPNEIGHBOR(1)]) #endif - + integer, dimension(NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)), parameter :: CELLFACE2 = & reshape([& 2,3, & @@ -790,7 +790,7 @@ module element #else ],[NCELLNODEPERCELLFACE(2),NIPNEIGHBOR(2)]) #endif - + integer, dimension(NCELLNODEPERCELLFACE(3),NIPNEIGHBOR(3)), parameter :: CELLFACE3 = & reshape([& 1,3,2, & @@ -802,7 +802,7 @@ module element #else ],[NCELLNODEPERCELLFACE(3),NIPNEIGHBOR(3)]) #endif - + integer, dimension(NCELLNODEPERCELLFACE(4),NIPNEIGHBOR(4)), parameter :: CELLFACE4 = & reshape([& 2,3,7,6, & @@ -816,10 +816,10 @@ module element #else ],[NCELLNODEPERCELLFACE(4),NIPNEIGHBOR(4)]) #endif - - + + contains - + !--------------------------------------------------------------------------------------------------- !> define properties of an element @@ -828,9 +828,9 @@ subroutine tElement_init(self,elemType) class(tElement) :: self integer, intent(in) :: elemType - + self%elemType = elemType - + self%Nnodes = NNODE (self%elemType) self%geomType = GEOMTYPE(self%elemType) @@ -864,12 +864,12 @@ subroutine tElement_init(self,elemType) case default call IO_error(0,ext_msg='invalid element type') end select - - + + self%NcellNodes = NCELLNODE(self%geomType) self%nIPs = NIP (self%geomType) self%cellType = CELLTYPE (self%geomType) - + select case (self%geomType) case(1) self%IPneighbor = IPNEIGHBOR1 @@ -904,7 +904,7 @@ subroutine tElement_init(self,elemType) end select self%NcellnodesPerCell = NCELLNODEPERCELL(self%cellType) - + select case(self%cellType) case(1) self%cellFace = CELLFACE1 @@ -919,20 +919,20 @@ subroutine tElement_init(self,elemType) self%cellFace = CELLFACE4 self%vtkType = 'HEXAHEDRON' end select - + self%nIPneighbors = size(self%IPneighbor,1) - - write(6,'(/,a)') ' <<<+- element_init -+>>>'; flush(6) - - write(6,*) ' element type: ',self%elemType - write(6,*) ' geom type: ',self%geomType - write(6,*) ' cell type: ',self%cellType - write(6,*) ' # node: ',self%Nnodes - write(6,*) ' # IP: ',self%nIPs - write(6,*) ' # cellnode: ',self%Ncellnodes - write(6,*) ' # cellnode/cell: ',self%NcellnodesPerCell - write(6,*) ' # IP neighbor: ',self%nIPneighbors - + + print'(/,a)', ' <<<+- element_init -+>>>'; flush(IO_STDOUT) + + print*, 'element type: ',self%elemType + print*, ' geom type: ',self%geomType + print*, ' cell type: ',self%cellType + print*, ' # node: ',self%Nnodes + print*, ' # IP: ',self%nIPs + print*, ' # cellnode: ',self%Ncellnodes + print*, ' # cellnode/cell: ',self%NcellnodesPerCell + print*, ' # IP neighbor: ',self%nIPneighbors + end subroutine tElement_init end module element diff --git a/src/grid/DAMASK_grid.f90 b/src/grid/DAMASK_grid.f90 index 84dc7cd51..1cb3acf16 100644 --- a/src/grid/DAMASK_grid.f90 +++ b/src/grid/DAMASK_grid.f90 @@ -6,493 +6,454 @@ !> @details doing cutbacking, forwarding in case of restart, reporting statistics, writing !> results !-------------------------------------------------------------------------------------------------- -program DAMASK_spectral +program DAMASK_grid #include - use PETScsys - use prec - use DAMASK_interface - use IO - use config - use debug - use math - use CPFEM2 - use material - use spectral_utilities - use grid_mech_spectral_basic - use grid_mech_spectral_polarisation - use grid_mech_FEM - use grid_damage_spectral - use grid_thermal_spectral - use results + use PETScsys + use prec + use parallelization + use DAMASK_interface + use IO + use config + use math + use CPFEM2 + use material + use spectral_utilities + use grid_mech_spectral_basic + use grid_mech_spectral_polarisation + use grid_mech_FEM + use grid_damage_spectral + use grid_thermal_spectral + use results - implicit none + implicit none !-------------------------------------------------------------------------------------------------- ! variables related to information from load case and geom file - real(pReal), dimension(9) :: temp_valueVector = 0.0_pReal !< temporarily from loadcase file when reading in tensors (initialize to 0.0) - logical, dimension(9) :: temp_maskVector = .false. !< temporarily from loadcase file when reading in tensors - integer, allocatable, dimension(:) :: chunkPos - integer :: & - N_t = 0, & !< # of time indicators found in load case file - N_n = 0, & !< # of increment specifiers found in load case file - N_def = 0 !< # of rate of deformation specifiers found in load case file - character(len=pStringLen) :: & - line + real(pReal), dimension(9) :: temp_valueVector = 0.0_pReal !< temporarily from loadcase file when reading in tensors (initialize to 0.0) + logical, dimension(9) :: temp_maskVector = .false. !< temporarily from loadcase file when reading in tensors !-------------------------------------------------------------------------------------------------- ! loop variables, convergence etc. - real(pReal), dimension(3,3), parameter :: & - ones = 1.0_pReal, & - zeros = 0.0_pReal - integer, parameter :: & - subStepFactor = 2 !< for each substep, divide the last time increment by 2.0 - real(pReal) :: & - time = 0.0_pReal, & !< elapsed time - time0 = 0.0_pReal, & !< begin of interval - timeinc = 1.0_pReal, & !< current time interval - timeIncOld = 0.0_pReal, & !< previous time interval - remainingLoadCaseTime = 0.0_pReal !< remaining time of current load case - logical :: & - guess, & !< guess along former trajectory - stagIterate, & - cutBack = .false. - integer :: & - i, j, k, l, field, & - errorID = 0, & - cutBackLevel = 0, & !< cut back level \f$ t = \frac{t_{inc}}{2^l} \f$ - stepFraction = 0 !< fraction of current time interval - integer :: & - currentLoadcase = 0, & !< current load case - inc, & !< current increment in current load case - totalIncsCounter = 0, & !< total # of increments - statUnit = 0, & !< file unit for statistics output - stagIter, & - nActiveFields = 0 - character(len=pStringLen), dimension(:), allocatable :: fileContent - character(len=pStringLen) :: & - incInfo, & - loadcase_string - type(tLoadCase), allocatable, dimension(:) :: loadCases !< array of all load cases - type(tLoadCase) :: newLoadCase - type(tSolutionState), allocatable, dimension(:) :: solres - procedure(grid_mech_spectral_basic_init), pointer :: & - mech_init - procedure(grid_mech_spectral_basic_forward), pointer :: & - mech_forward - procedure(grid_mech_spectral_basic_solution), pointer :: & - mech_solution - procedure(grid_mech_spectral_basic_updateCoords), pointer :: & - mech_updateCoords - procedure(grid_mech_spectral_basic_restartWrite), pointer :: & - mech_restartWrite + real(pReal), dimension(3,3), parameter :: & + ones = 1.0_pReal, & + zeros = 0.0_pReal + integer, parameter :: & + subStepFactor = 2 !< for each substep, divide the last time increment by 2.0 + real(pReal) :: & + time = 0.0_pReal, & !< elapsed time + time0 = 0.0_pReal, & !< begin of interval + timeinc = 1.0_pReal, & !< current time interval + timeIncOld = 0.0_pReal, & !< previous time interval + remainingLoadCaseTime = 0.0_pReal !< remaining time of current load case + logical :: & + guess, & !< guess along former trajectory + stagIterate, & + cutBack = .false. + integer :: & + i, j, m, field, & + errorID = 0, & + cutBackLevel = 0, & !< cut back level \f$ t = \frac{t_{inc}}{2^l} \f$ + stepFraction = 0, & !< fraction of current time interval + l = 0, & !< current load case + inc, & !< current increment in current load case + totalIncsCounter = 0, & !< total # of increments + statUnit = 0, & !< file unit for statistics output + stagIter, & + nActiveFields = 0, & + maxCutBack, & !< max number of cut backs + stagItMax !< max number of field level staggered iterations + character(len=pStringLen) :: & + incInfo, & + loadcase_string - external :: & - quit + type(tLoadCase), allocatable, dimension(:) :: loadCases !< array of all load cases + type(tSolutionState), allocatable, dimension(:) :: solres + procedure(grid_mech_spectral_basic_init), pointer :: & + mech_init + procedure(grid_mech_spectral_basic_forward), pointer :: & + mech_forward + procedure(grid_mech_spectral_basic_solution), pointer :: & + mech_solution + procedure(grid_mech_spectral_basic_updateCoords), pointer :: & + mech_updateCoords + procedure(grid_mech_spectral_basic_restartWrite), pointer :: & + mech_restartWrite + + external :: & + quit + class (tNode), pointer :: & + num_grid, & + debug_grid, & ! pointer to grid debug options + config_load, & + load_steps, & + load_step, & + step_mech, & + step_discretization, & + step_deformation, & + step_stress !-------------------------------------------------------------------------------------------------- ! init DAMASK (all modules) - call CPFEM_initAll - write(6,'(/,a)') ' <<<+- DAMASK_spectral init -+>>>'; flush(6) - write(6,'(/,a)') ' Shanthraj et al., Handbook of Mechanics of Materials, 2019' - write(6,'(a)') ' https://doi.org/10.1007/978-981-10-6855-3_80' + call CPFEM_initAll + print'(/,a)', ' <<<+- DAMASK_spectral init -+>>>'; flush(IO_STDOUT) + + print*, 'Shanthraj et al., Handbook of Mechanics of Materials, 2019' + print*, 'https://doi.org/10.1007/978-981-10-6855-3_80' !-------------------------------------------------------------------------------------------------- ! initialize field solver information - nActiveFields = 1 - if (any(thermal_type == THERMAL_conduction_ID )) nActiveFields = nActiveFields + 1 - if (any(damage_type == DAMAGE_nonlocal_ID )) nActiveFields = nActiveFields + 1 - allocate(solres(nActiveFields)) - allocate(newLoadCase%ID(nActiveFields)) + nActiveFields = 1 + if (any(thermal_type == THERMAL_conduction_ID )) nActiveFields = nActiveFields + 1 + if (any(damage_type == DAMAGE_nonlocal_ID )) nActiveFields = nActiveFields + 1 + allocate(solres(nActiveFields)) + +!------------------------------------------------------------------------------------------------- +! reading field paramters from numerics file and do sanity checks + num_grid => config_numerics%get('grid', defaultVal=emptyDict) + stagItMax = num_grid%get_asInt('maxStaggeredIter',defaultVal=10) + maxCutBack = num_grid%get_asInt('maxCutBack',defaultVal=3) + + if (stagItMax < 0) call IO_error(301,ext_msg='maxStaggeredIter') + if (maxCutBack < 0) call IO_error(301,ext_msg='maxCutBack') !-------------------------------------------------------------------------------------------------- ! assign mechanics solver depending on selected type - select case (trim(config_numerics%getString('spectral_solver',defaultVal='basic'))) - case ('basic') - mech_init => grid_mech_spectral_basic_init - mech_forward => grid_mech_spectral_basic_forward - mech_solution => grid_mech_spectral_basic_solution - mech_updateCoords => grid_mech_spectral_basic_updateCoords - mech_restartWrite => grid_mech_spectral_basic_restartWrite - case ('polarisation') - if(iand(debug_level(debug_spectral),debug_levelBasic)/= 0) & - call IO_warning(42, ext_msg='debug Divergence') - mech_init => grid_mech_spectral_polarisation_init - mech_forward => grid_mech_spectral_polarisation_forward - mech_solution => grid_mech_spectral_polarisation_solution - mech_updateCoords => grid_mech_spectral_polarisation_updateCoords - mech_restartWrite => grid_mech_spectral_polarisation_restartWrite + debug_grid => config_debug%get('grid',defaultVal=emptyList) + select case (trim(num_grid%get_asString('solver', defaultVal = 'Basic'))) + case ('Basic') + mech_init => grid_mech_spectral_basic_init + mech_forward => grid_mech_spectral_basic_forward + mech_solution => grid_mech_spectral_basic_solution + mech_updateCoords => grid_mech_spectral_basic_updateCoords + mech_restartWrite => grid_mech_spectral_basic_restartWrite - case ('fem') - if(iand(debug_level(debug_spectral),debug_levelBasic)/= 0) & - call IO_warning(42, ext_msg='debug Divergence') - mech_init => grid_mech_FEM_init - mech_forward => grid_mech_FEM_forward - mech_solution => grid_mech_FEM_solution - mech_updateCoords => grid_mech_FEM_updateCoords - mech_restartWrite => grid_mech_FEM_restartWrite + case ('Polarisation') + if(debug_grid%contains('basic')) & + call IO_warning(42, ext_msg='debug Divergence') + mech_init => grid_mech_spectral_polarisation_init + mech_forward => grid_mech_spectral_polarisation_forward + mech_solution => grid_mech_spectral_polarisation_solution + mech_updateCoords => grid_mech_spectral_polarisation_updateCoords + mech_restartWrite => grid_mech_spectral_polarisation_restartWrite - case default - call IO_error(error_ID = 891, ext_msg = config_numerics%getString('spectral_solver')) + case ('FEM') + if(debug_grid%contains('basic')) & + call IO_warning(42, ext_msg='debug Divergence') + mech_init => grid_mech_FEM_init + mech_forward => grid_mech_FEM_forward + mech_solution => grid_mech_FEM_solution + mech_updateCoords => grid_mech_FEM_updateCoords + mech_restartWrite => grid_mech_FEM_restartWrite + + case default + call IO_error(error_ID = 891, ext_msg = trim(num_grid%get_asString('solver'))) + + end select - end select !-------------------------------------------------------------------------------------------------- -! reading information from load case file and to sanity checks - fileContent = IO_read_ASCII(trim(loadCaseFile)) +! reading information from load case file and to sanity checks + config_load => YAML_parse_file(trim(interface_loadFile)) - allocate (loadCases(0)) ! array of load cases - do currentLoadCase = 1, size(fileContent) - line = fileContent(currentLoadCase) - if (IO_isBlank(line)) cycle - chunkPos = IO_stringPos(line) + load_steps => config_load%get('step') + allocate(loadCases(load_steps%length)) ! array of load cases - do i = 1, chunkPos(1) ! reading compulsory parameters for loadcase - select case (IO_lc(IO_stringValue(line,chunkPos,i))) - case('l','fdot','dotf','f') - N_def = N_def + 1 - case('t','time','delta') - N_t = N_t + 1 - case('n','incs','increments','logincs','logincrements') - N_n = N_n + 1 - end select - enddo - if ((N_def /= N_n) .or. (N_n /= N_t) .or. N_n < 1) & ! sanity check - call IO_error(error_ID=837,el=currentLoadCase,ext_msg = trim(loadCaseFile)) ! error message for incomplete loadcase + do l = 1, load_steps%length - newLoadCase%stress%myType='stress' - field = 1 - newLoadCase%ID(field) = FIELD_MECH_ID ! mechanical active by default - thermalActive: if (any(thermal_type == THERMAL_conduction_ID)) then - field = field + 1 - newLoadCase%ID(field) = FIELD_THERMAL_ID - endif thermalActive - damageActive: if (any(damage_type == DAMAGE_nonlocal_ID)) then - field = field + 1 - newLoadCase%ID(field) = FIELD_DAMAGE_ID - endif damageActive + allocate(loadCases(l)%ID(nActiveFields)) + field = 1 + loadCases(l)%ID(field) = FIELD_MECH_ID ! mechanical active by default + thermalActive: if (any(thermal_type == THERMAL_conduction_ID)) then + field = field + 1 + loadCases(l)%ID(field) = FIELD_THERMAL_ID + endif thermalActive + damageActive: if (any(damage_type == DAMAGE_nonlocal_ID)) then + field = field + 1 + loadCases(l)%ID(field) = FIELD_DAMAGE_ID + endif damageActive - call newLoadCase%rot%fromEulers(real([0.0,0.0,0.0],pReal)) - readIn: do i = 1, chunkPos(1) - select case (IO_lc(IO_stringValue(line,chunkPos,i))) - case('fdot','dotf','l','f') ! assign values for the deformation BC matrix - temp_valueVector = 0.0_pReal - if (IO_lc(IO_stringValue(line,chunkPos,i)) == 'fdot'.or. & ! in case of Fdot, set type to fdot - IO_lc(IO_stringValue(line,chunkPos,i)) == 'dotf') then - newLoadCase%deformation%myType = 'fdot' - else if (IO_lc(IO_stringValue(line,chunkPos,i)) == 'f') then - newLoadCase%deformation%myType = 'f' - else - newLoadCase%deformation%myType = 'l' - endif - do j = 1, 9 - temp_maskVector(j) = IO_stringValue(line,chunkPos,i+j) /= '*' ! true if not a * - if (temp_maskVector(j)) temp_valueVector(j) = IO_floatValue(line,chunkPos,i+j) ! read value where applicable - enddo - newLoadCase%deformation%maskLogical = transpose(reshape(temp_maskVector,[ 3,3])) ! logical mask in 3x3 notation - newLoadCase%deformation%maskFloat = merge(ones,zeros,newLoadCase%deformation%maskLogical)! float (1.0/0.0) mask in 3x3 notation - newLoadCase%deformation%values = math_9to33(temp_valueVector) ! values in 3x3 notation - case('p','stress', 's') - temp_valueVector = 0.0_pReal - do j = 1, 9 - temp_maskVector(j) = IO_stringValue(line,chunkPos,i+j) /= '*' ! true if not an asterisk - if (temp_maskVector(j)) temp_valueVector(j) = IO_floatValue(line,chunkPos,i+j) ! read value where applicable - enddo - newLoadCase%stress%maskLogical = transpose(reshape(temp_maskVector,[ 3,3])) - newLoadCase%stress%maskFloat = merge(ones,zeros,newLoadCase%stress%maskLogical) - newLoadCase%stress%values = math_9to33(temp_valueVector) - case('t','time','delta') ! increment time - newLoadCase%time = IO_floatValue(line,chunkPos,i+1) - case('n','incs','increments') ! number of increments - newLoadCase%incs = IO_intValue(line,chunkPos,i+1) - case('logincs','logincrements') ! number of increments (switch to log time scaling) - newLoadCase%incs = IO_intValue(line,chunkPos,i+1) - newLoadCase%logscale = 1 - case('freq','frequency','outputfreq') ! frequency of result writings - newLoadCase%outputfrequency = IO_intValue(line,chunkPos,i+1) - case('r','restart','restartwrite') ! frequency of writing restart information - newLoadCase%restartfrequency = IO_intValue(line,chunkPos,i+1) - case('guessreset','dropguessing') - newLoadCase%followFormerTrajectory = .false. ! do not continue to predict deformation along former trajectory - case('euler') ! rotation of load case given in euler angles - temp_valueVector = 0.0_pReal - l = 1 ! assuming values given in degrees - k = 1 ! assuming keyword indicating degree/radians present - select case (IO_lc(IO_stringValue(line,chunkPos,i+1))) - case('deg','degree') - case('rad','radian') ! don't convert from degree to radian - l = 0 - case default - k = 0 - end select - do j = 1, 3 - temp_valueVector(j) = IO_floatValue(line,chunkPos,i+k+j) - enddo - call newLoadCase%rot%fromEulers(temp_valueVector(1:3),degrees=(l==1)) - case('rotation','rot') ! assign values for the rotation matrix - temp_valueVector = 0.0_pReal - do j = 1, 9 - temp_valueVector(j) = IO_floatValue(line,chunkPos,i+j) - enddo - call newLoadCase%rot%fromMatrix(math_9to33(temp_valueVector)) - end select - enddo readIn + load_step => load_steps%get(l) - newLoadCase%followFormerTrajectory = merge(.true.,.false.,currentLoadCase > 1) ! by default, guess from previous load case + step_mech => load_step%get('mech') + loadCases(l)%stress%myType='P' + readMech: do m = 1, step_mech%length + select case (step_mech%getKey(m)) + case('dot_F','L','F') ! assign values for the deformation BC matrix + loadCases(l)%deformation%myType = step_mech%getKey(m) + temp_valueVector = 0.0_pReal - reportAndCheck: if (worldrank == 0) then - write (loadcase_string, '(i0)' ) currentLoadCase - write(6,'(/,1x,a,i0)') 'load case: ', currentLoadCase - if (.not. newLoadCase%followFormerTrajectory) write(6,'(2x,a)') 'drop guessing along trajectory' - if (newLoadCase%deformation%myType == 'l') then - do j = 1, 3 - if (any(newLoadCase%deformation%maskLogical(j,1:3) .eqv. .true.) .and. & - any(newLoadCase%deformation%maskLogical(j,1:3) .eqv. .false.)) errorID = 832 ! each row should be either fully or not at all defined - enddo - write(6,'(2x,a)') 'velocity gradient:' - else if (newLoadCase%deformation%myType == 'f') then - write(6,'(2x,a)') 'deformation gradient at end of load case:' - else - write(6,'(2x,a)') 'deformation gradient rate:' - endif - do i = 1, 3; do j = 1, 3 - if(newLoadCase%deformation%maskLogical(i,j)) then - write(6,'(2x,f12.7)',advance='no') newLoadCase%deformation%values(i,j) - else - write(6,'(2x,12a)',advance='no') ' * ' - endif - enddo; write(6,'(/)',advance='no') - enddo - if (any(newLoadCase%stress%maskLogical .eqv. & - newLoadCase%deformation%maskLogical)) errorID = 831 ! exclusive or masking only - if (any(newLoadCase%stress%maskLogical .and. transpose(newLoadCase%stress%maskLogical) & - .and. (math_I3<1))) errorID = 838 ! no rotation is allowed by stress BC - write(6,'(2x,a)') 'stress / GPa:' - do i = 1, 3; do j = 1, 3 - if(newLoadCase%stress%maskLogical(i,j)) then - write(6,'(2x,f12.7)',advance='no') newLoadCase%stress%values(i,j)*1e-9_pReal - else - write(6,'(2x,12a)',advance='no') ' * ' - endif - enddo; write(6,'(/)',advance='no') - enddo - if (any(abs(matmul(newLoadCase%rot%asMatrix(), & - transpose(newLoadCase%rot%asMatrix()))-math_I3) > & - reshape(spread(tol_math_check,1,9),[ 3,3]))) errorID = 846 ! given rotation matrix contains strain - if (any(dNeq(newLoadCase%rot%asMatrix(), math_I3))) & - write(6,'(2x,a,/,3(3(3x,f12.7,1x)/))',advance='no') 'rotation of loadframe:',& - transpose(newLoadCase%rot%asMatrix()) - if (newLoadCase%time < 0.0_pReal) errorID = 834 ! negative time increment - write(6,'(2x,a,f0.3)') 'time: ', newLoadCase%time - if (newLoadCase%incs < 1) errorID = 835 ! non-positive incs count - write(6,'(2x,a,i0)') 'increments: ', newLoadCase%incs - if (newLoadCase%outputfrequency < 1) errorID = 836 ! non-positive result frequency - write(6,'(2x,a,i0)') 'output frequency: ', newLoadCase%outputfrequency - if (newLoadCase%restartfrequency < 1) errorID = 839 ! non-positive restart frequency - if (newLoadCase%restartfrequency < huge(0)) & - write(6,'(2x,a,i0)') 'restart frequency: ', newLoadCase%restartfrequency - if (errorID > 0) call IO_error(error_ID = errorID, ext_msg = loadcase_string) ! exit with error message - endif reportAndCheck - loadCases = [loadCases,newLoadCase] ! load case is ok, append it - enddo + step_deformation => step_mech%get(m) + do j = 1, 9 + temp_maskVector(j) = step_deformation%get_asString(j) /= 'x' ! true if not a 'x' + if (temp_maskVector(j)) temp_valueVector(j) = step_deformation%get_asFloat(j) ! read value where applicable + enddo + loadCases(l)%deformation%mask = transpose(reshape(temp_maskVector,[ 3,3])) ! mask in 3x3 notation + loadCases(l)%deformation%values = math_9to33(temp_valueVector) ! values in 3x3 notation + case('P') + temp_valueVector = 0.0_pReal + step_stress => step_mech%get(m) + do j = 1, 9 + temp_maskVector(j) = step_stress%get_asString(j) /= 'x' ! true if not a 'x' + if (temp_maskVector(j)) temp_valueVector(j) = step_stress%get_asFloat(j) ! read value where applicable + enddo + loadCases(l)%stress%mask = transpose(reshape(temp_maskVector,[ 3,3])) + loadCases(l)%stress%values = math_9to33(temp_valueVector) + end select + call loadCases(l)%rot%fromAxisAngle(step_mech%get_asFloats('R', & + defaultVal = real([0.0,0.0,1.0,0.0],pReal)),degrees=.true.) + enddo readMech + if (.not. allocated(loadCases(l)%deformation%myType)) call IO_error(error_ID=837,ext_msg = 'L/F/dot_F missing') + step_discretization => load_step%get('discretization') + if(.not. step_discretization%contains('t')) call IO_error(error_ID=837,ext_msg = 't missing') + if(.not. step_discretization%contains('N')) call IO_error(error_ID=837,ext_msg = 'N missing') + loadCases(l)%time = step_discretization%get_asFloat('t') + loadCases(l)%incs = step_discretization%get_asInt ('N') + loadCases(l)%logscale = step_discretization%get_asBool ('log_timestep', defaultVal= .false.) + loadCases(l)%outputfrequency = step_discretization%get_asInt ('f_out', defaultVal=1) + loadCases(l)%restartfrequency = step_discretization%get_asInt ('f_restart', defaultVal=huge(0)) + + loadCases(l)%followFormerTrajectory = .not. (load_step%get_asBool('drop_guessing',defaultVal=.false.) .or. & + merge(.false.,.true.,l > 1)) ! do not continue to predict deformation along former trajectory + + reportAndCheck: if (worldrank == 0) then + write (loadcase_string, '(i0)' ) l + print'(/,a,i0)', ' load case: ', l + if (.not. loadCases(l)%followFormerTrajectory) & + print*, ' drop guessing along trajectory' + if (loadCases(l)%deformation%myType == 'L') then + do j = 1, 3 + if (any(loadCases(l)%deformation%mask(j,1:3) .eqv. .true.) .and. & + any(loadCases(l)%deformation%mask(j,1:3) .eqv. .false.)) errorID = 832 ! each row should be either fully or not at all defined + enddo + print*, ' velocity gradient:' + else if (loadCases(l)%deformation%myType == 'F') then + print*, ' deformation gradient at end of load case:' + else if (loadCases(l)%deformation%myType == 'dot_F') then + print*, ' deformation gradient rate:' + endif + do i = 1, 3; do j = 1, 3 + if(loadCases(l)%deformation%mask(i,j)) then + write(IO_STDOUT,'(2x,f12.7)',advance='no') loadCases(l)%deformation%values(i,j) + else + write(IO_STDOUT,'(2x,12a)',advance='no') ' x ' + endif + enddo; write(IO_STDOUT,'(/)',advance='no') + enddo + if (any(loadCases(l)%stress%mask .eqv. loadCases(l)%deformation%mask)) errorID = 831 ! exclusive or masking only + if (any(loadCases(l)%stress%mask .and. transpose(loadCases(l)%stress%mask) .and. (math_I3<1))) & + errorID = 838 ! no rotation is allowed by stress BC + print*, ' stress / GPa:' + do i = 1, 3; do j = 1, 3 + if(loadCases(l)%stress%mask(i,j)) then + write(IO_STDOUT,'(2x,f12.7)',advance='no') loadCases(l)%stress%values(i,j)*1e-9_pReal + else + write(IO_STDOUT,'(2x,12a)',advance='no') ' x ' + endif + enddo; write(IO_STDOUT,'(/)',advance='no') + enddo + if (any(dNeq(loadCases(l)%rot%asMatrix(), math_I3))) & + write(IO_STDOUT,'(2x,a,/,3(3(3x,f12.7,1x)/))',advance='no') 'rotation of loadframe:',& + transpose(loadCases(l)%rot%asMatrix()) + if (loadCases(l)%time < 0.0_pReal) errorID = 834 ! negative time increment + print'(a,f0.3)', ' time: ', loadCases(l)%time + if (loadCases(l)%incs < 1) errorID = 835 ! non-positive incs count + print'(a,i0)', ' increments: ', loadCases(l)%incs + if (loadCases(l)%outputfrequency < 1) errorID = 836 ! non-positive result frequency + print'(a,i0)', ' output frequency: ', loadCases(l)%outputfrequency + if (loadCases(l)%restartfrequency < 1) errorID = 839 ! non-positive restart frequency + if (loadCases(l)%restartfrequency < huge(0)) & + print'(a,i0)', ' restart frequency: ', loadCases(l)%restartfrequency + if (errorID > 0) call IO_error(error_ID = errorID, ext_msg = loadcase_string) ! exit with error message + endif reportAndCheck + enddo !-------------------------------------------------------------------------------------------------- ! doing initialization depending on active solvers - call Utilities_init - do field = 1, nActiveFields - select case (loadCases(1)%ID(field)) - case(FIELD_MECH_ID) - call mech_init - - case(FIELD_THERMAL_ID) - call grid_thermal_spectral_init + call spectral_Utilities_init + do field = 1, nActiveFields + select case (loadCases(1)%ID(field)) + case(FIELD_MECH_ID) + call mech_init - case(FIELD_DAMAGE_ID) - call grid_damage_spectral_init + case(FIELD_THERMAL_ID) + call grid_thermal_spectral_init - end select - enddo + case(FIELD_DAMAGE_ID) + call grid_damage_spectral_init + + end select + enddo !-------------------------------------------------------------------------------------------------- ! write header of output file - if (worldrank == 0) then - writeHeader: if (interface_restartInc < 1) then - open(newunit=statUnit,file=trim(getSolverJobName())//'.sta',form='FORMATTED',status='REPLACE') - write(statUnit,'(a)') 'Increment Time CutbackLevel Converged IterationsNeeded' ! statistics file - if (iand(debug_level(debug_spectral),debug_levelBasic) /= 0) & - write(6,'(/,a)') ' header of statistics file written out' - flush(6) - else writeHeader - open(newunit=statUnit,file=trim(getSolverJobName())//& - '.sta',form='FORMATTED', position='APPEND', status='OLD') - endif writeHeader - endif + if (worldrank == 0) then + writeHeader: if (interface_restartInc < 1) then + open(newunit=statUnit,file=trim(getSolverJobName())//'.sta',form='FORMATTED',status='REPLACE') + write(statUnit,'(a)') 'Increment Time CutbackLevel Converged IterationsNeeded' ! statistics file + if (debug_grid%contains('basic')) print'(/,a)', ' header of statistics file written out' + flush(IO_STDOUT) + else writeHeader + open(newunit=statUnit,file=trim(getSolverJobName())//& + '.sta',form='FORMATTED', position='APPEND', status='OLD') + endif writeHeader + endif - writeUndeformed: if (interface_restartInc < 1) then - write(6,'(1/,a)') ' ... writing initial configuration to file ........................' - call CPFEM_results(0,0.0_pReal) - endif writeUndeformed + writeUndeformed: if (interface_restartInc < 1) then + print'(/,a)', ' ... writing initial configuration to file ........................' + call CPFEM_results(0,0.0_pReal) + endif writeUndeformed - loadCaseLooping: do currentLoadCase = 1, size(loadCases) - time0 = time ! load case start time - guess = loadCases(currentLoadCase)%followFormerTrajectory ! change of load case? homogeneous guess for the first inc + loadCaseLooping: do l = 1, size(loadCases) + time0 = time ! load case start time + guess = loadCases(l)%followFormerTrajectory ! change of load case? homogeneous guess for the first inc - incLooping: do inc = 1, loadCases(currentLoadCase)%incs - totalIncsCounter = totalIncsCounter + 1 + incLooping: do inc = 1, loadCases(l)%incs + totalIncsCounter = totalIncsCounter + 1 !-------------------------------------------------------------------------------------------------- ! forwarding time - timeIncOld = timeinc ! last timeinc that brought former inc to an end - if (loadCases(currentLoadCase)%logscale == 0) then ! linear scale - timeinc = loadCases(currentLoadCase)%time/real(loadCases(currentLoadCase)%incs,pReal) - else - if (currentLoadCase == 1) then ! 1st load case of logarithmic scale - if (inc == 1) then ! 1st inc of 1st load case of logarithmic scale - timeinc = loadCases(1)%time*(2.0_pReal**real( 1-loadCases(1)%incs ,pReal)) ! assume 1st inc is equal to 2nd - else ! not-1st inc of 1st load case of logarithmic scale - timeinc = loadCases(1)%time*(2.0_pReal**real(inc-1-loadCases(1)%incs ,pReal)) - endif - else ! not-1st load case of logarithmic scale - timeinc = time0 * & - ( (1.0_pReal + loadCases(currentLoadCase)%time/time0 )**(real( inc ,pReal)/& - real(loadCases(currentLoadCase)%incs ,pReal))& - -(1.0_pReal + loadCases(currentLoadCase)%time/time0 )**(real( inc-1 ,pReal)/& - real(loadCases(currentLoadCase)%incs ,pReal))) - endif - endif - timeinc = timeinc * real(subStepFactor,pReal)**real(-cutBackLevel,pReal) ! depending on cut back level, decrease time step + timeIncOld = timeinc ! last timeinc that brought former inc to an end + if (.not. loadCases(l)%logscale) then ! linear scale + timeinc = loadCases(l)%time/real(loadCases(l)%incs,pReal) + else + if (l == 1) then ! 1st load case of logarithmic scale + timeinc = loadCases(1)%time*(2.0_pReal**real(max(inc-1,1)-loadCases(1)%incs ,pReal)) ! assume 1st inc is equal to 2nd + else ! not-1st load case of logarithmic scale + timeinc = time0 * & + ( (1.0_pReal + loadCases(l)%time/time0 )**(real( inc ,pReal)/& + real(loadCases(l)%incs ,pReal))& + -(1.0_pReal + loadCases(l)%time/time0 )**(real( inc-1 ,pReal)/& + real(loadCases(l)%incs ,pReal))) + endif + endif + timeinc = timeinc * real(subStepFactor,pReal)**real(-cutBackLevel,pReal) ! depending on cut back level, decrease time step - skipping: if (totalIncsCounter <= interface_restartInc) then ! not yet at restart inc? - time = time + timeinc ! just advance time, skip already performed calculation - guess = .true. ! QUESTION:why forced guessing instead of inheriting loadcase preference - else skipping - stepFraction = 0 ! fraction scaled by stepFactor**cutLevel + skipping: if (totalIncsCounter <= interface_restartInc) then ! not yet at restart inc? + time = time + timeinc ! just advance time, skip already performed calculation + guess = .true. ! QUESTION:why forced guessing instead of inheriting loadcase preference + else skipping + stepFraction = 0 ! fraction scaled by stepFactor**cutLevel - subStepLooping: do while (stepFraction < subStepFactor**cutBackLevel) - remainingLoadCaseTime = loadCases(currentLoadCase)%time+time0 - time - time = time + timeinc ! forward target time - stepFraction = stepFraction + 1 ! count step + subStepLooping: do while (stepFraction < subStepFactor**cutBackLevel) + remainingLoadCaseTime = loadCases(l)%time+time0 - time + time = time + timeinc ! forward target time + stepFraction = stepFraction + 1 ! count step !-------------------------------------------------------------------------------------------------- ! report begin of new step - write(6,'(/,a)') ' ###########################################################################' - write(6,'(1x,a,es12.5,6(a,i0))') & - 'Time', time, & - 's: Increment ', inc,'/',loadCases(currentLoadCase)%incs,& - '-', stepFraction,'/',subStepFactor**cutBackLevel,& - ' of load case ', currentLoadCase,'/',size(loadCases) - write(incInfo,'(4(a,i0))') & - 'Increment ',totalIncsCounter,'/',sum(loadCases%incs),& - '-', stepFraction,'/',subStepFactor**cutBackLevel - flush(6) + print'(/,a)', ' ###########################################################################' + print'(1x,a,es12.5,6(a,i0))', & + 'Time', time, & + 's: Increment ', inc,'/',loadCases(l)%incs,& + '-', stepFraction,'/',subStepFactor**cutBackLevel,& + ' of load case ', l,'/',size(loadCases) + write(incInfo,'(4(a,i0))') & + 'Increment ',totalIncsCounter,'/',sum(loadCases%incs),& + '-', stepFraction,'/',subStepFactor**cutBackLevel + flush(IO_STDOUT) !-------------------------------------------------------------------------------------------------- ! forward fields - do field = 1, nActiveFields - select case(loadCases(currentLoadCase)%ID(field)) - case(FIELD_MECH_ID) - call mech_forward (& - cutBack,guess,timeinc,timeIncOld,remainingLoadCaseTime, & - deformation_BC = loadCases(currentLoadCase)%deformation, & - stress_BC = loadCases(currentLoadCase)%stress, & - rotation_BC = loadCases(currentLoadCase)%rot) + do field = 1, nActiveFields + select case(loadCases(l)%ID(field)) + case(FIELD_MECH_ID) + call mech_forward (& + cutBack,guess,timeinc,timeIncOld,remainingLoadCaseTime, & + deformation_BC = loadCases(l)%deformation, & + stress_BC = loadCases(l)%stress, & + rotation_BC = loadCases(l)%rot) - case(FIELD_THERMAL_ID); call grid_thermal_spectral_forward(cutBack) - case(FIELD_DAMAGE_ID); call grid_damage_spectral_forward(cutBack) - end select - enddo - if(.not. cutBack) call CPFEM_forward + case(FIELD_THERMAL_ID); call grid_thermal_spectral_forward(cutBack) + case(FIELD_DAMAGE_ID); call grid_damage_spectral_forward(cutBack) + end select + enddo + if(.not. cutBack) call CPFEM_forward !-------------------------------------------------------------------------------------------------- ! solve fields - stagIter = 0 - stagIterate = .true. - do while (stagIterate) - do field = 1, nActiveFields - select case(loadCases(currentLoadCase)%ID(field)) - case(FIELD_MECH_ID) - solres(field) = mech_solution (& - incInfo,timeinc,timeIncOld, & - stress_BC = loadCases(currentLoadCase)%stress, & - rotation_BC = loadCases(currentLoadCase)%rot) + stagIter = 0 + stagIterate = .true. + do while (stagIterate) + do field = 1, nActiveFields + select case(loadCases(l)%ID(field)) + case(FIELD_MECH_ID) + solres(field) = mech_solution(incInfo) + case(FIELD_THERMAL_ID) + solres(field) = grid_thermal_spectral_solution(timeinc) + case(FIELD_DAMAGE_ID) + solres(field) = grid_damage_spectral_solution(timeinc) + end select - case(FIELD_THERMAL_ID) - solres(field) = grid_thermal_spectral_solution(timeinc,timeIncOld) + if (.not. solres(field)%converged) exit ! no solution found - case(FIELD_DAMAGE_ID) - solres(field) = grid_damage_spectral_solution(timeinc,timeIncOld) - - end select - - if (.not. solres(field)%converged) exit ! no solution found - - enddo - stagIter = stagIter + 1 - stagIterate = stagIter < stagItMax & - .and. all(solres(:)%converged) & - .and. .not. all(solres(:)%stagConverged) ! stationary with respect to staggered iteration - enddo + enddo + stagIter = stagIter + 1 + stagIterate = stagIter < stagItMax & + .and. all(solres(:)%converged) & + .and. .not. all(solres(:)%stagConverged) ! stationary with respect to staggered iteration + enddo !-------------------------------------------------------------------------------------------------- ! check solution for either advance or retry - if ( (all(solres(:)%converged .and. solres(:)%stagConverged)) & ! converged - .and. .not. solres(1)%termIll) then ! and acceptable solution found - call mech_updateCoords - timeIncOld = timeinc - cutBack = .false. - guess = .true. ! start guessing after first converged (sub)inc - if (worldrank == 0) then - write(statUnit,*) totalIncsCounter, time, cutBackLevel, & - solres%converged, solres%iterationsNeeded - flush(statUnit) - endif - elseif (cutBackLevel < maxCutBack) then ! further cutbacking tolerated? - cutBack = .true. - stepFraction = (stepFraction - 1) * subStepFactor ! adjust to new denominator - cutBackLevel = cutBackLevel + 1 - time = time - timeinc ! rewind time - timeinc = timeinc/real(subStepFactor,pReal) ! cut timestep - write(6,'(/,a)') ' cutting back ' - else ! no more options to continue - call IO_warning(850) - if (worldrank == 0) close(statUnit) - call quit(0) ! quit - endif + if ( (all(solres(:)%converged .and. solres(:)%stagConverged)) & ! converged + .and. .not. solres(1)%termIll) then ! and acceptable solution found + call mech_updateCoords + timeIncOld = timeinc + cutBack = .false. + guess = .true. ! start guessing after first converged (sub)inc + if (worldrank == 0) then + write(statUnit,*) totalIncsCounter, time, cutBackLevel, & + solres%converged, solres%iterationsNeeded + flush(statUnit) + endif + elseif (cutBackLevel < maxCutBack) then ! further cutbacking tolerated? + cutBack = .true. + stepFraction = (stepFraction - 1) * subStepFactor ! adjust to new denominator + cutBackLevel = cutBackLevel + 1 + time = time - timeinc ! rewind time + timeinc = timeinc/real(subStepFactor,pReal) ! cut timestep + print'(/,a)', ' cutting back ' + else ! no more options to continue + call IO_warning(850) + if (worldrank == 0) close(statUnit) + call quit(0) ! quit + endif - enddo subStepLooping + enddo subStepLooping - cutBackLevel = max(0, cutBackLevel - 1) ! try half number of subincs next inc + cutBackLevel = max(0, cutBackLevel - 1) ! try half number of subincs next inc - if (all(solres(:)%converged)) then - write(6,'(/,a,i0,a)') ' increment ', totalIncsCounter, ' converged' - else - write(6,'(/,a,i0,a)') ' increment ', totalIncsCounter, ' NOT converged' - endif; flush(6) + if (all(solres(:)%converged)) then + print'(/,a,i0,a)', ' increment ', totalIncsCounter, ' converged' + else + print'(/,a,i0,a)', ' increment ', totalIncsCounter, ' NOT converged' + endif; flush(IO_STDOUT) - if (mod(inc,loadCases(currentLoadCase)%outputFrequency) == 0) then ! at output frequency - write(6,'(1/,a)') ' ... writing results to file ......................................' - flush(6) - call CPFEM_results(totalIncsCounter,time) - endif - if (mod(inc,loadCases(currentLoadCase)%restartFrequency) == 0) then - call mech_restartWrite - call CPFEM_restartWrite - endif - endif skipping + if (mod(inc,loadCases(l)%outputFrequency) == 0) then ! at output frequency + print'(1/,a)', ' ... writing results to file ......................................' + flush(IO_STDOUT) + call CPFEM_results(totalIncsCounter,time) + endif + if (mod(inc,loadCases(l)%restartFrequency) == 0) then + call mech_restartWrite + call CPFEM_restartWrite + endif + endif skipping + + enddo incLooping + + enddo loadCaseLooping - enddo incLooping - enddo loadCaseLooping - - !-------------------------------------------------------------------------------------------------- ! report summary of whole calculation - write(6,'(/,a)') ' ###########################################################################' - if (worldrank == 0) close(statUnit) + print'(/,a)', ' ###########################################################################' + if (worldrank == 0) close(statUnit) - call quit(0) ! no complains ;) + call quit(0) ! no complains ;) -end program DAMASK_spectral +end program DAMASK_grid diff --git a/src/grid/discretization_grid.f90 b/src/grid/discretization_grid.f90 index 8413fc5e8..84223e0c8 100644 --- a/src/grid/discretization_grid.f90 +++ b/src/grid/discretization_grid.f90 @@ -9,11 +9,13 @@ module discretization_grid use PETScsys use prec + use parallelization use system_routines + use base64 + use zlib use DAMASK_interface use IO - use debug - use numerics + use config use results use discretization use geometry_plastic_nonlocal @@ -42,7 +44,9 @@ contains !-------------------------------------------------------------------------------------------------- !> @brief reads the geometry file to obtain information on discretization !-------------------------------------------------------------------------------------------------- -subroutine discretization_grid_init +subroutine discretization_grid_init(restart) + + logical, intent(in) :: restart include 'fftw3-mpi.f03' real(pReal), dimension(3) :: & @@ -52,16 +56,22 @@ subroutine discretization_grid_init myGrid !< domain grid of this process integer, dimension(:), allocatable :: & - microstructureAt, & - homogenizationAt + materialAt - integer :: j + integer :: & + j, & + debug_element, & + debug_ip integer(C_INTPTR_T) :: & devNull, z, z_offset - write(6,'(/,a)') ' <<<+- discretization_grid init -+>>>'; flush(6) + print'(/,a)', ' <<<+- discretization_grid init -+>>>'; flush(IO_STDOUT) - call readGeom(grid,geomSize,origin,microstructureAt,homogenizationAt) + call readVTR(grid,geomSize,origin,materialAt) + + print'(/,a,3(i12 ))', ' grid a b c: ', grid + print'(a,3(es12.5))', ' size x y z: ', geomSize + print'(a,3(es12.5))', ' origin x y z: ', origin !-------------------------------------------------------------------------------------------------- ! grid solver specific quantities @@ -81,31 +91,35 @@ subroutine discretization_grid_init myGrid = [grid(1:2),grid3] mySize = [geomSize(1:2),size3] +!------------------------------------------------------------------------------------------------- +! debug parameters + debug_element = config_debug%get_asInt('element',defaultVal=1) + debug_ip = config_debug%get_asInt('integrationpoint',defaultVal=1) + !-------------------------------------------------------------------------------------------------- ! general discretization - microstructureAt = microstructureAt(product(grid(1:2))*grid3Offset+1: & - product(grid(1:2))*(grid3Offset+grid3)) ! reallocate/shrink in case of MPI - homogenizationAt = homogenizationAt(product(grid(1:2))*grid3Offset+1: & - product(grid(1:2))*(grid3Offset+grid3)) ! reallocate/shrink in case of MPI + materialAt = materialAt(product(grid(1:2))*grid3Offset+1:product(grid(1:2))*(grid3Offset+grid3)) ! reallocate/shrink in case of MPI - call discretization_init(homogenizationAt,microstructureAt, & + call discretization_init(materialAt, & IPcoordinates0(myGrid,mySize,grid3Offset), & Nodes0(myGrid,mySize,grid3Offset),& - merge((grid(1)+1) * (grid(2)+1) * (grid3+1),& ! write bottom layer - (grid(1)+1) * (grid(2)+1) * grid3,& ! do not write bottom layer (is top of rank-1) - worldrank<1)) + merge((grid(1)+1) * (grid(2)+1) * (grid3+1),& ! write top layer... + (grid(1)+1) * (grid(2)+1) * grid3,& ! ...unless not last process + worldrank+1==worldsize)) FEsolving_execElem = [1,product(myGrid)] ! parallel loop bounds set to comprise all elements FEsolving_execIP = [1,1] ! parallel loop bounds set to comprise the only IP !-------------------------------------------------------------------------------------------------- ! store geometry information for post processing - call results_openJobFile - call results_closeGroup(results_addGroup('geometry')) - call results_addAttribute('grid', grid, 'geometry') - call results_addAttribute('size', geomSize,'geometry') - call results_addAttribute('origin',origin, 'geometry') - call results_closeJobFile + if(.not. restart) then + call results_openJobFile + call results_closeGroup(results_addGroup('geometry')) + call results_addAttribute('grid', grid, 'geometry') + call results_addAttribute('size', geomSize,'geometry') + call results_addAttribute('origin',origin, 'geometry') + call results_closeJobFile + endif !-------------------------------------------------------------------------------------------------- ! geometry information required by the nonlocal CP model @@ -117,8 +131,8 @@ subroutine discretization_grid_init !-------------------------------------------------------------------------------------------------- ! sanity checks for debugging - if (debug_e < 1 .or. debug_e > product(myGrid)) call IO_error(602,ext_msg='element') ! selected element does not exist - if (debug_i /= 1) call IO_error(602,ext_msg='IP') ! selected IP does not exist + if (debug_element < 1 .or. debug_element > product(myGrid)) call IO_error(602,ext_msg='element') ! selected element does not exist + if (debug_ip /= 1) call IO_error(602,ext_msg='IP') ! selected IP does not exist end subroutine discretization_grid_init @@ -128,29 +142,27 @@ end subroutine discretization_grid_init !> @details important variables have an implicit "save" attribute. Therefore, this function is ! supposed to be called only once! !-------------------------------------------------------------------------------------------------- -subroutine readGeom(grid,geomSize,origin,microstructure,homogenization) +subroutine readGeom(grid,geomSize,origin,material) integer, dimension(3), intent(out) :: & - grid ! grid (for all processes!) + grid ! grid (across all processes!) real(pReal), dimension(3), intent(out) :: & - geomSize, & ! size (for all processes!) - origin ! origin (for all processes!) + geomSize, & ! size (across all processes!) + origin ! origin (across all processes!) integer, dimension(:), intent(out), allocatable :: & - microstructure, & - homogenization + material character(len=:), allocatable :: rawData character(len=65536) :: line integer, allocatable, dimension(:) :: chunkPos integer :: & - h =- 1, & headerLength = -1, & !< length of header (in lines) fileLength, & !< length of the geom file (in characters) fileUnit, & startPos, endPos, & myStat, & l, & !< line counter - c, & !< counter for # microstructures in line + c, & !< counter for # materials in line o, & !< order of "to" packing e, & !< "element", i.e. spectral collocation point i, j @@ -160,10 +172,10 @@ subroutine readGeom(grid,geomSize,origin,microstructure,homogenization) !-------------------------------------------------------------------------------------------------- ! read raw data as stream - inquire(file = trim(geometryFile), size=fileLength) - open(newunit=fileUnit, file=trim(geometryFile), access='stream',& + inquire(file = trim(interface_geomFile), size=fileLength) + open(newunit=fileUnit, file=trim(interface_geomFile), access='stream',& status='old', position='rewind', action='read',iostat=myStat) - if(myStat /= 0) call IO_error(100,ext_msg=trim(geometryFile)) + if(myStat /= 0) call IO_error(100,ext_msg=trim(interface_geomFile)) allocate(character(len=fileLength)::rawData) read(fileUnit) rawData close(fileUnit) @@ -182,7 +194,7 @@ subroutine readGeom(grid,geomSize,origin,microstructure,homogenization) endif !-------------------------------------------------------------------------------------------------- -! read and interprete header +! read and interpret header origin = 0.0_pReal l = 0 do while (l < headerLength .and. startPos < len(rawData)) @@ -238,24 +250,18 @@ subroutine readGeom(grid,geomSize,origin,microstructure,homogenization) enddo endif - case ('homogenization') - if (chunkPos(1) > 1) h = IO_intValue(line,chunkPos,2) - end select enddo !-------------------------------------------------------------------------------------------------- ! sanity checks - if(h < 1) & - call IO_error(error_ID = 842, ext_msg='homogenization (readGeom)') if(any(grid < 1)) & call IO_error(error_ID = 842, ext_msg='grid (readGeom)') if(any(geomSize < 0.0_pReal)) & call IO_error(error_ID = 842, ext_msg='size (readGeom)') - allocate(microstructure(product(grid)), source = -1) ! too large in case of MPI (shrink later, not very elegant) - allocate(homogenization(product(grid)), source = h) ! too large in case of MPI (shrink later, not very elegant) + allocate(material(product(grid)), source = -1) ! too large in case of MPI (shrink later, not very elegant) !-------------------------------------------------------------------------------------------------- ! read and interpret content @@ -270,18 +276,18 @@ subroutine readGeom(grid,geomSize,origin,microstructure,homogenization) noCompression: if (chunkPos(1) /= 3) then c = chunkPos(1) - microstructure(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] + material(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] else noCompression compression: if (IO_lc(IO_stringValue(line,chunkPos,2)) == 'of') then c = IO_intValue(line,chunkPos,1) - microstructure(e:e+c-1) = [(IO_intValue(line,chunkPos,3),i = 1,IO_intValue(line,chunkPos,1))] + material(e:e+c-1) = [(IO_intValue(line,chunkPos,3),i = 1,IO_intValue(line,chunkPos,1))] else if (IO_lc(IO_stringValue(line,chunkPos,2)) == 'to') then compression c = abs(IO_intValue(line,chunkPos,3) - IO_intValue(line,chunkPos,1)) + 1 o = merge(+1, -1, IO_intValue(line,chunkPos,3) > IO_intValue(line,chunkPos,1)) - microstructure(e:e+c-1) = [(i, i = IO_intValue(line,chunkPos,1),IO_intValue(line,chunkPos,3),o)] + material(e:e+c-1) = [(i, i = IO_intValue(line,chunkPos,1),IO_intValue(line,chunkPos,3),o)] else compression c = chunkPos(1) - microstructure(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] + material(e:e+c-1) = [(IO_intValue(line,chunkPos,i+1), i=0, c-1)] endif compression endif noCompression @@ -293,6 +299,360 @@ subroutine readGeom(grid,geomSize,origin,microstructure,homogenization) end subroutine readGeom +!-------------------------------------------------------------------------------------------------- +!> @brief Parse vtk rectilinear grid (.vtr) +!> @details https://vtk.org/Wiki/VTK_XML_Formats +!-------------------------------------------------------------------------------------------------- +subroutine readVTR(grid,geomSize,origin,material) + + integer, dimension(3), intent(out) :: & + grid ! grid (across all processes!) + real(pReal), dimension(3), intent(out) :: & + geomSize, & ! size (across all processes!) + origin ! origin (across all processes!) + integer, dimension(:), intent(out), allocatable :: & + material + + character(len=:), allocatable :: fileContent, dataType, headerType + logical :: inFile,inGrid,gotCoordinates,gotCellData,compressed + integer :: fileUnit, myStat, coord + integer(pI64) :: & + fileLength, & !< length of the geom file (in characters) + startPos, endPos, & + s + + grid = -1 + geomSize = -1.0_pReal + +!-------------------------------------------------------------------------------------------------- +! read raw data as stream + inquire(file = trim(interface_geomFile), size=fileLength) + open(newunit=fileUnit, file=trim(interface_geomFile), access='stream',& + status='old', position='rewind', action='read',iostat=myStat) + if(myStat /= 0) call IO_error(100,ext_msg=trim(interface_geomFile)) + allocate(character(len=fileLength)::fileContent) + read(fileUnit) fileContent + close(fileUnit) + + inFile = .false. + inGrid = .false. + gotCoordinates = .false. + gotCelldata = .false. + +!-------------------------------------------------------------------------------------------------- +! interpret XML file + startPos = 1_pI64 + do while (startPos < len(fileContent,kind=pI64)) + endPos = startPos + index(fileContent(startPos:),IO_EOL,kind=pI64) - 2_pI64 + if (endPos < startPos) endPos = len(fileContent,kind=pI64) ! end of file without new line + + if(.not. inFile) then + if(index(fileContent(startPos:endPos),'',kind=pI64) /= 0_pI64) then + gotCellData = .true. + do while (index(fileContent(startPos:endPos),'',kind=pI64) == 0_pI64) + if(index(fileContent(startPos:endPos),'',kind=pI64) /= 0_pI64) then + gotCoordinates = .true. + startPos = endPos + 2_pI64 + + coord = 0 + do while (startPos',kind=pI64) /= 0_pI64) exit + startPos = endPos + 2_pI64 + enddo + endif + endif + endif + + if(gotCellData .and. gotCoordinates) exit + startPos = endPos + 2_pI64 + + end do + material = material + 1 + if(.not. allocated(material)) call IO_error(error_ID = 844, ext_msg='material data not found') + if(size(material) /= product(grid)) call IO_error(error_ID = 844, ext_msg='size(material)') + if(any(geomSize<=0)) call IO_error(error_ID = 844, ext_msg='size') + if(any(grid<1)) call IO_error(error_ID = 844, ext_msg='grid') + if(any(material<0)) call IO_error(error_ID = 844, ext_msg='material ID < 0') + + contains + + !------------------------------------------------------------------------------------------------ + !> @brief determine size and origin from coordinates + !------------------------------------------------------------------------------------------------ + subroutine gridSizeOrigin(base64_str,headerType,compressed,dataType,direction) + + character(len=*), intent(in) :: base64_str, & ! base64 encoded string of 1D coordinates + headerType, & ! header type (UInt32 or Uint64) + dataType ! data type (Int32, Int64, Float32, Float64) + logical, intent(in) :: compressed ! indicate whether data is zlib compressed + integer, intent(in) :: direction ! direction (1=x,2=y,3=z) + + real(pReal), dimension(:), allocatable :: coords,delta + + coords = as_pReal(base64_str,headerType,compressed,dataType) + + delta = coords(2:) - coords(:size(coords)-1) + if(any(delta<0.0_pReal) .or. dNeq(maxval(delta),minval(delta),1.0e-8_pReal*maxval(abs(coords)))) & + call IO_error(error_ID = 844, ext_msg = 'grid spacing') + + grid(direction) = size(coords)-1 + origin(direction) = coords(1) + geomSize(direction) = coords(size(coords)) - coords(1) + + end subroutine + + + !------------------------------------------------------------------------------------------------ + !> @brief Interpret Base64 string in vtk XML file as integer of default kind + !------------------------------------------------------------------------------------------------ + function as_Int(base64_str,headerType,compressed,dataType) + + character(len=*), intent(in) :: base64_str, & ! base64 encoded string + headerType, & ! header type (UInt32 or Uint64) + dataType ! data type (Int32, Int64, Float32, Float64) + logical, intent(in) :: compressed ! indicate whether data is zlib compressed + + integer, dimension(:), allocatable :: as_Int + + select case(dataType) + case('Int32') + as_Int = int(prec_bytesToC_INT32_T(asBytes(base64_str,headerType,compressed))) + case('Int64') + as_Int = int(prec_bytesToC_INT64_T(asBytes(base64_str,headerType,compressed))) + case('Float32') + as_Int = int(prec_bytesToC_FLOAT (asBytes(base64_str,headerType,compressed))) + case('Float64') + as_Int = int(prec_bytesToC_DOUBLE (asBytes(base64_str,headerType,compressed))) + case default + call IO_error(844_pInt,ext_msg='unknown data type: '//trim(dataType)) + end select + + end function as_Int + + + !------------------------------------------------------------------------------------------------ + !> @brief Interpret Base64 string in vtk XML file as integer of pReal kind + !------------------------------------------------------------------------------------------------ + function as_pReal(base64_str,headerType,compressed,dataType) + + character(len=*), intent(in) :: base64_str, & ! base64 encoded string + headerType, & ! header type (UInt32 or Uint64) + dataType ! data type (Int32, Int64, Float32, Float64) + logical, intent(in) :: compressed ! indicate whether data is zlib compressed + + real(pReal), dimension(:), allocatable :: as_pReal + + select case(dataType) + case('Int32') + as_pReal = real(prec_bytesToC_INT32_T(asBytes(base64_str,headerType,compressed)),pReal) + case('Int64') + as_pReal = real(prec_bytesToC_INT64_T(asBytes(base64_str,headerType,compressed)),pReal) + case('Float32') + as_pReal = real(prec_bytesToC_FLOAT (asBytes(base64_str,headerType,compressed)),pReal) + case('Float64') + as_pReal = real(prec_bytesToC_DOUBLE (asBytes(base64_str,headerType,compressed)),pReal) + case default + call IO_error(844_pInt,ext_msg='unknown data type: '//trim(dataType)) + end select + + end function as_pReal + + + !------------------------------------------------------------------------------------------------ + !> @brief Interpret Base64 string in vtk XML file as bytes + !------------------------------------------------------------------------------------------------ + function asBytes(base64_str,headerType,compressed) result(bytes) + + character(len=*), intent(in) :: base64_str, & ! base64 encoded string + headerType ! header type (UInt32 or Uint64) + logical, intent(in) :: compressed ! indicate whether data is zlib compressed + + integer(C_SIGNED_CHAR), dimension(:), allocatable :: bytes + + if(compressed) then + bytes = asBytes_compressed(base64_str,headerType) + else + bytes = asBytes_uncompressed(base64_str,headerType) + endif + + end function asBytes + + !------------------------------------------------------------------------------------------------ + !> @brief Interpret compressed Base64 string in vtk XML file as bytes + !> @details A compressed Base64 string consists of a header block and a data block + ! [#blocks/#u-size/#p-size/#c-size-1/#c-size-2/.../#c-size-#blocks][DATA-1/DATA-2...] + ! #blocks = Number of blocks + ! #u-size = Block size before compression + ! #p-size = Size of last partial block (zero if it not needed) + ! #c-size-i = Size in bytes of block i after compression + !------------------------------------------------------------------------------------------------ + function asBytes_compressed(base64_str,headerType) result(bytes) + + character(len=*), intent(in) :: base64_str, & ! base64 encoded string + headerType ! header type (UInt32 or Uint64) + + integer(C_SIGNED_CHAR), dimension(:), allocatable :: bytes, bytes_inflated + + integer(pI64), dimension(:), allocatable :: temp, size_inflated, size_deflated + integer(pI64) :: headerLen, nBlock, b,s,e + + if (headerType == 'UInt32') then + temp = int(prec_bytesToC_INT32_T(base64_to_bytes(base64_str(:base64_nChar(4_pI64)))),pI64) + nBlock = int(temp(1),pI64) + headerLen = 4_pI64 * (3_pI64 + nBlock) + temp = int(prec_bytesToC_INT32_T(base64_to_bytes(base64_str(:base64_nChar(headerLen)))),pI64) + elseif(headerType == 'UInt64') then + temp = int(prec_bytesToC_INT64_T(base64_to_bytes(base64_str(:base64_nChar(8_pI64)))),pI64) + nBlock = int(temp(1),pI64) + headerLen = 8_pI64 * (3_pI64 + nBlock) + temp = int(prec_bytesToC_INT64_T(base64_to_bytes(base64_str(:base64_nChar(headerLen)))),pI64) + endif + + allocate(size_inflated(nBlock),source=temp(2)) + size_inflated(nBlock) = merge(temp(3),temp(2),temp(3)/=0_pI64) + size_deflated = temp(4:) + bytes_inflated = base64_to_bytes(base64_str(base64_nChar(headerLen)+1_pI64:)) + + allocate(bytes(0)) + e = 0_pI64 + do b = 1, nBlock + s = e + 1_pI64 + e = s + size_deflated(b) - 1_pI64 + bytes = [bytes,zlib_inflate(bytes_inflated(s:e),size_inflated(b))] + enddo + + end function asBytes_compressed + + + !------------------------------------------------------------------------------------------------ + !> @brief Interprete uncompressed Base64 string in vtk XML file as bytes + !> @details An uncompressed Base64 string consists of N headers blocks and a N data blocks + ![#bytes-1/DATA-1][#bytes-2/DATA-2]... + !------------------------------------------------------------------------------------------------ + function asBytes_uncompressed(base64_str,headerType) result(bytes) + + character(len=*), intent(in) :: base64_str, & ! base64 encoded string + headerType ! header type (UInt32 or Uint64) + + integer(pI64) :: s + integer(pI64), dimension(1) :: nByte + + integer(C_SIGNED_CHAR), dimension(:), allocatable :: bytes + allocate(bytes(0)) + + s=0_pI64 + if (headerType == 'UInt32') then + do while(s+base64_nChar(4_pI64)<(len(base64_str,pI64))) + nByte = int(prec_bytesToC_INT32_T(base64_to_bytes(base64_str(s+1_pI64:s+base64_nChar(4_pI64)))),pI64) + bytes = [bytes,base64_to_bytes(base64_str(s+1_pI64:s+base64_nChar(4_pI64+nByte(1))),5_pI64)] + s = s + base64_nChar(4_pI64+nByte(1)) + enddo + elseif(headerType == 'UInt64') then + do while(s+base64_nChar(8_pI64)<(len(base64_str,pI64))) + nByte = int(prec_bytesToC_INT64_T(base64_to_bytes(base64_str(s+1_pI64:s+base64_nChar(8_pI64)))),pI64) + bytes = [bytes,base64_to_bytes(base64_str(s+1_pI64:s+base64_nChar(8_pI64+nByte(1))),9_pI64)] + s = s + base64_nChar(8_pI64+nByte(1)) + enddo + endif + + end function asBytes_uncompressed + + !------------------------------------------------------------------------------------------------ + !> @brief Get XML string value for given key + !------------------------------------------------------------------------------------------------ + pure function getXMLValue(line,key) + + character(len=*), intent(in) :: line, key + + character(len=:), allocatable :: getXMLValue + + integer :: s,e +#ifdef __INTEL_COMPILER + character :: q +#endif + + s = index(line," "//key,back=.true.) + if(s==0) then + getXMLValue = '' + else + e = s + 1 + scan(line(s+1:),"'"//'"') + if(scan(line(s:e-2),'=') == 0) then + getXMLValue = '' + else + s = e +! https://community.intel.com/t5/Intel-Fortran-Compiler/ICE-for-merge-with-strings/m-p/1207204#M151657 +#ifdef __INTEL_COMPILER + q = line(s-1:s-1) + e = s + index(line(s:),q) - 1 +#else + e = s + index(line(s:),merge("'",'"',line(s-1:s-1)=="'")) - 1 +#endif + getXMLValue = line(s:e-1) + endif + endif + + end function + + + !------------------------------------------------------------------------------------------------ + !> @brief check for supported file format + !------------------------------------------------------------------------------------------------ + pure function fileFormatOk(line) + + character(len=*),intent(in) :: line + logical :: fileFormatOk + + fileFormatOk = getXMLValue(line,'type') == 'RectilinearGrid' .and. & + getXMLValue(line,'byte_order') == 'LittleEndian' .and. & + getXMLValue(line,'compressor') /= 'vtkLZ4DataCompressor' .and. & + getXMLValue(line,'compressor') /= 'vtkLZMADataCompressor' + + end function fileFormatOk + +end subroutine readVTR + + !--------------------------------------------------------------------------------------------------- !> @brief Calculate undeformed position of IPs/cell centers (pretend to be an element) !--------------------------------------------------------------------------------------------------- diff --git a/src/grid/grid_damage_spectral.f90 b/src/grid/grid_damage_spectral.f90 index eda60d070..7e529fc68 100644 --- a/src/grid/grid_damage_spectral.f90 +++ b/src/grid/grid_damage_spectral.f90 @@ -11,40 +11,49 @@ module grid_damage_spectral use PETScsnes use prec + use parallelization + use IO use spectral_utilities use discretization_grid use damage_nonlocal - use numerics + use YAML_types + use config implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types - type(tSolutionParams), private :: params + type :: tNumerics + integer :: & + itmax !< maximum number of iterations + real(pReal) :: & + residualStiffness, & !< non-zero residual damage + eps_damage_atol, & !< absolute tolerance for damage evolution + eps_damage_rtol !< relative tolerance for damage evolution + end type tNumerics + type(tNumerics) :: num + + type(tSolutionParams) :: params !-------------------------------------------------------------------------------------------------- ! PETSc data - SNES, private :: damage_snes - Vec, private :: solution_vec - PetscInt, private :: xstart, xend, ystart, yend, zstart, zend - real(pReal), private, dimension(:,:,:), allocatable :: & + SNES :: damage_snes + Vec :: solution_vec + PetscInt :: xstart, xend, ystart, yend, zstart, zend + real(pReal), dimension(:,:,:), allocatable :: & phi_current, & !< field of current damage phi_lastInc, & !< field of previous damage phi_stagInc !< field of staggered damage !-------------------------------------------------------------------------------------------------- ! reference diffusion tensor, mobility etc. - integer, private :: totalIter = 0 !< total iteration in current increment - real(pReal), dimension(3,3), private :: K_ref - real(pReal), private :: mu_ref + integer :: totalIter = 0 !< total iteration in current increment + real(pReal), dimension(3,3) :: K_ref + real(pReal) :: mu_ref public :: & grid_damage_spectral_init, & grid_damage_spectral_solution, & grid_damage_spectral_forward - private :: & - formResidual contains @@ -58,19 +67,38 @@ subroutine grid_damage_spectral_init DM :: damage_grid Vec :: uBound, lBound PetscErrorCode :: ierr - character(len=pStringLen) :: snes_type + class(tNode), pointer :: & + num_grid, & + num_generic + character(len=pStringLen) :: & + snes_type - write(6,'(/,a)') ' <<<+- grid_spectral_damage init -+>>>' + print'(/,a)', ' <<<+- grid_spectral_damage init -+>>>' - write(6,'(/,a)') ' Shanthraj et al., Handbook of Mechanics of Materials, 2019' - write(6,'(a)') ' https://doi.org/10.1007/978-981-10-6855-3_80' + print*, 'Shanthraj et al., Handbook of Mechanics of Materials, 2019' + print*, 'https://doi.org/10.1007/978-981-10-6855-3_80' +!------------------------------------------------------------------------------------------------- +! read numerical parameters and do sanity checks + num_grid => config_numerics%get('grid',defaultVal=emptyDict) + num%itmax = num_grid%get_asInt ('itmax',defaultVal=250) + num%eps_damage_atol = num_grid%get_asFloat ('eps_damage_atol',defaultVal=1.0e-2_pReal) + num%eps_damage_rtol = num_grid%get_asFloat ('eps_damage_rtol',defaultVal=1.0e-6_pReal) + + num_generic => config_numerics%get('generic',defaultVal=emptyDict) + num%residualStiffness = num_generic%get_asFloat('residualStiffness', defaultVal=1.0e-6_pReal) + + if (num%residualStiffness < 0.0_pReal) call IO_error(301,ext_msg='residualStiffness') + if (num%itmax <= 1) call IO_error(301,ext_msg='itmax') + if (num%eps_damage_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_damage_atol') + if (num%eps_damage_rtol <= 0.0_pReal) call IO_error(301,ext_msg='eps_damage_rtol') + !-------------------------------------------------------------------------------------------------- ! set default and user defined options for PETSc call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-damage_snes_type newtonls -damage_snes_mf & &-damage_snes_ksp_ew -damage_ksp_type fgmres',ierr) CHKERRQ(ierr) - call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) + call PETScOptionsInsertString(PETSC_NULL_OPTIONS,num_grid%get_asString('petsc_options',defaultVal=''),ierr) CHKERRQ(ierr) !-------------------------------------------------------------------------------------------------- @@ -120,8 +148,6 @@ subroutine grid_damage_spectral_init allocate(phi_stagInc(grid(1),grid(2),grid3), source=1.0_pReal) call VecSet(solution_vec,1.0_pReal,ierr); CHKERRQ(ierr) -!-------------------------------------------------------------------------------------------------- -! damage reference diffusion update call updateReference end subroutine grid_damage_spectral_init @@ -130,11 +156,10 @@ end subroutine grid_damage_spectral_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the spectral damage scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_damage_spectral_solution(timeinc,timeinc_old) result(solution) +function grid_damage_spectral_solution(timeinc) result(solution) real(pReal), intent(in) :: & - timeinc, & !< increment in time for current solution - timeinc_old !< increment in time of last increment + timeinc !< increment in time for current solution integer :: i, j, k, cell type(tSolutionState) :: solution PetscInt :: devNull @@ -148,14 +173,13 @@ function grid_damage_spectral_solution(timeinc,timeinc_old) result(solution) !-------------------------------------------------------------------------------------------------- ! set module wide availabe data params%timeinc = timeinc - params%timeincOld = timeinc_old call SNESSolve(damage_snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) call SNESGetConvergedReason(damage_snes,reason,ierr); CHKERRQ(ierr) if (reason < 1) then solution%converged = .false. - solution%iterationsNeeded = itmax + solution%iterationsNeeded = num%itmax else solution%converged = .true. solution%iterationsNeeded = totalIter @@ -165,7 +189,7 @@ function grid_damage_spectral_solution(timeinc,timeinc_old) result(solution) call MPI_Allreduce(MPI_IN_PLACE,stagNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,solnNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr) phi_stagInc = phi_current - solution%stagConverged = stagNorm < max(err_damage_tolAbs, err_damage_tolRel*solnNorm) + solution%stagConverged = stagNorm < max(num%eps_damage_atol, num%eps_damage_rtol*solnNorm) !-------------------------------------------------------------------------------------------------- ! updating damage state @@ -178,11 +202,11 @@ function grid_damage_spectral_solution(timeinc,timeinc_old) result(solution) call VecMin(solution_vec,devNull,phi_min,ierr); CHKERRQ(ierr) call VecMax(solution_vec,devNull,phi_max,ierr); CHKERRQ(ierr) if (solution%converged) & - write(6,'(/,a)') ' ... nonlocal damage converged .....................................' - write(6,'(/,a,f8.6,2x,f8.6,2x,f8.6,/)',advance='no') ' Minimum|Maximum|Delta Damage = ',& - phi_min, phi_max, stagNorm - write(6,'(/,a)') ' ===========================================================================' - flush(6) + print'(/,a)', ' ... nonlocal damage converged .....................................' + write(IO_STDOUT,'(/,a,f8.6,2x,f8.6,2x,e11.4,/)',advance='no') ' Minimum|Maximum|Delta Damage = ',& + phi_min, phi_max, stagNorm + print'(/,a)', ' ===========================================================================' + flush(IO_STDOUT) end function grid_damage_spectral_solution @@ -237,7 +261,7 @@ subroutine formResidual(in,x_scal,f_scal,dummy,ierr) PetscErrorCode :: ierr integer :: i, j, k, cell real(pReal) :: phiDot, dPhiDot_dPhi, mobility - + phi_current = x_scal !-------------------------------------------------------------------------------------------------- ! evaluate polarization field @@ -272,8 +296,8 @@ subroutine formResidual(in,x_scal,f_scal,dummy,ierr) call utilities_FFTscalarBackward where(scalarField_real(1:grid(1),1:grid(2),1:grid3) > phi_lastInc) & scalarField_real(1:grid(1),1:grid(2),1:grid3) = phi_lastInc - where(scalarField_real(1:grid(1),1:grid(2),1:grid3) < residualStiffness) & - scalarField_real(1:grid(1),1:grid(2),1:grid3) = residualStiffness + where(scalarField_real(1:grid(1),1:grid(2),1:grid3) < num%residualStiffness) & + scalarField_real(1:grid(1),1:grid(2),1:grid3) = num%residualStiffness !-------------------------------------------------------------------------------------------------- ! constructing residual diff --git a/src/grid/grid_mech_FEM.f90 b/src/grid/grid_mech_FEM.f90 index c8bef7ff2..bf3d7752d 100644 --- a/src/grid/grid_mech_FEM.f90 +++ b/src/grid/grid_mech_FEM.f90 @@ -11,59 +11,70 @@ module grid_mech_FEM use PETScsnes use prec + use parallelization use DAMASK_interface use HDF5_utilities use math use spectral_utilities use FEsolving - use numerics + use config use homogenization use discretization use discretization_grid - use debug implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types - type(tSolutionParams), private :: params + type(tSolutionParams) :: params + + type :: tNumerics + integer :: & + itmin, & !< minimum number of iterations + itmax !< maximum number of iterations + real(pReal) :: & + eps_div_atol, & !< absolute tolerance for equilibrium + eps_div_rtol, & !< relative tolerance for equilibrium + eps_stress_atol, & !< absolute tolerance for fullfillment of stress BC + eps_stress_rtol !< relative tolerance for fullfillment of stress BC + end type tNumerics + + type(tNumerics) :: num ! numerics parameters. Better name? + + logical :: debugRotation !-------------------------------------------------------------------------------------------------- ! PETSc data - DM, private :: mech_grid - SNES, private :: mech_snes - Vec, private :: solution_current, solution_lastInc, solution_rate + DM :: mech_grid + SNES :: mech_snes + Vec :: solution_current, solution_lastInc, solution_rate !-------------------------------------------------------------------------------------------------- ! common pointwise data - real(pReal), private, dimension(:,:,:,:,:), allocatable :: F, P_current, F_lastInc - real(pReal), private :: detJ - real(pReal), private, dimension(3) :: delta - real(pReal), private, dimension(3,8) :: BMat - real(pReal), private, dimension(8,8) :: HGMat - PetscInt, private :: xstart,ystart,zstart,xend,yend,zend + real(pReal), dimension(:,:,:,:,:), allocatable :: F, P_current, F_lastInc + real(pReal) :: detJ + real(pReal), dimension(3) :: delta + real(pReal), dimension(3,8) :: BMat + real(pReal), dimension(8,8) :: HGMat + PetscInt :: xstart,ystart,zstart,xend,yend,zend !-------------------------------------------------------------------------------------------------- ! stress, stiffness and compliance average etc. - real(pReal), private, dimension(3,3) :: & + real(pReal), dimension(3,3) :: & F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient F_aim = math_I3, & !< current prescribed deformation gradient - F_aim_lastIter = math_I3, & F_aim_lastInc = math_I3, & !< previous average deformation gradient - P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress - - character(len=pStringLen), private :: incInfo !< time and increment information - - real(pReal), private, dimension(3,3,3,3) :: & + P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress + P_aim = 0.0_pReal + character(len=:), allocatable :: incInfo !< time and increment information + real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness S = 0.0_pReal !< current compliance (filled up with zeros) - real(pReal), private :: & + real(pReal) :: & err_BC !< deviation from stress BC - integer, private :: & + integer :: & totalIter = 0 !< total iteration in current increment public :: & @@ -81,7 +92,6 @@ contains subroutine grid_mech_FEM_init real(pReal) :: HGCoeff = 0.0e-2_pReal - PetscInt, dimension(0:worldsize-1) :: localK real(pReal), dimension(3,3) :: & temp33_Real = 0.0_pReal real(pReal), dimension(4,8) :: & @@ -93,21 +103,48 @@ subroutine grid_mech_FEM_init -1.0_pReal, 1.0_pReal,-1.0_pReal,-1.0_pReal, & 1.0_pReal,-1.0_pReal,-1.0_pReal,-1.0_pReal, & 1.0_pReal, 1.0_pReal, 1.0_pReal, 1.0_pReal], [4,8]) - PetscErrorCode :: ierr - integer(HID_T) :: fileHandle, groupHandle - character(len=pStringLen) :: fileName real(pReal), dimension(3,3,3,3) :: devNull + PetscErrorCode :: ierr PetscScalar, pointer, dimension(:,:,:,:) :: & - u_current,u_lastInc + u_current,u_lastInc + PetscInt, dimension(0:worldsize-1) :: localK + integer(HID_T) :: fileHandle, groupHandle + character(len=pStringLen) :: & + fileName + class(tNode), pointer :: & + num_grid, & + debug_grid - write(6,'(/,a)') ' <<<+- grid_mech_FEM init -+>>>'; flush(6) + print'(/,a)', ' <<<+- grid_mech_FEM init -+>>>'; flush(IO_STDOUT) + +!------------------------------------------------------------------------------------------------- +! debugging options + debug_grid => config_debug%get('grid', defaultVal=emptyList) + debugRotation = debug_grid%contains('rotation') + +!------------------------------------------------------------------------------------------------- +! read numerical parameters and do sanity checks + num_grid => config_numerics%get('grid',defaultVal=emptyDict) + num%eps_div_atol = num_grid%get_asFloat('eps_div_atol', defaultVal=1.0e-4_pReal) + num%eps_div_rtol = num_grid%get_asFloat('eps_div_rtol', defaultVal=5.0e-4_pReal) + num%eps_stress_atol = num_grid%get_asFloat('eps_stress_atol',defaultVal=1.0e3_pReal) + num%eps_stress_rtol = num_grid%get_asFloat('eps_stress_rtol',defaultVal=1.0e-3_pReal) + num%itmin = num_grid%get_asInt ('itmin', defaultVal=1) + num%itmax = num_grid%get_asInt ('itmax', defaultVal=250) + + if (num%eps_div_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_div_atol') + if (num%eps_div_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_div_rtol') + if (num%eps_stress_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_stress_atol') + if (num%eps_stress_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_stress_rtol') + if (num%itmax <= 1) call IO_error(301,ext_msg='itmax') + if (num%itmin > num%itmax .or. num%itmin < 1) call IO_error(301,ext_msg='itmin') !-------------------------------------------------------------------------------------------------- ! set default and user defined options for PETSc call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type newtonls -mech_ksp_type fgmres & &-mech_ksp_max_it 25 -mech_pc_type ml -mech_mg_levels_ksp_type chebyshev',ierr) CHKERRQ(ierr) - call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) + call PETScOptionsInsertString(PETSC_NULL_OPTIONS,num_grid%get_asString('petsc_options',defaultVal=''),ierr) CHKERRQ(ierr) !-------------------------------------------------------------------------------------------------- @@ -180,7 +217,7 @@ subroutine grid_mech_FEM_init !-------------------------------------------------------------------------------------------------- ! init fields restartRead: if (interface_restartInc > 0) then - write(6,'(/,a,i0,a)') ' reading restart data of increment ', interface_restartInc, ' from file' + print'(/,a,i0,a)', ' reading restart data of increment ', interface_restartInc, ' from file' write(fileName,'(a,a,i0,a)') trim(getSolverJobName()),'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName) @@ -198,7 +235,8 @@ subroutine grid_mech_FEM_init F_lastInc = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid3) ! initialize to identity F = spread(spread(spread(math_I3,3,grid(1)),4,grid(2)),5,grid3) endif restartRead - materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent + + homogenization_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent call utilities_updateCoords(F) call utilities_constitutiveResponse(P_current,temp33_Real,C_volAvg,devNull, & ! stress field, stress avg, global average of stiffness and (min+max)/2 F, & ! target F @@ -209,7 +247,7 @@ subroutine grid_mech_FEM_init CHKERRQ(ierr) restartRead2: if (interface_restartInc > 0) then - write(6,'(/,a,i0,a)') ' reading more restart data of increment ', interface_restartInc, ' from file' + print'(a,i0,a)', ' reading more restart data of increment ', interface_restartInc, ' from file' call HDF5_read(groupHandle,C_volAvg, 'C_volAvg') call HDF5_read(groupHandle,C_volAvgLastInc,'C_volAvgLastInc') @@ -224,19 +262,12 @@ end subroutine grid_mech_FEM_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the FEM scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_FEM_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution) +function grid_mech_FEM_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - real(pReal), intent(in) :: & - timeinc, & !< time increment of current solution - timeinc_old !< time increment of last successful increment - type(tBoundaryCondition), intent(in) :: & - stress_BC - type(rotation), intent(in) :: & - rotation_BC type(tSolutionState) :: & solution !-------------------------------------------------------------------------------------------------- @@ -248,22 +279,15 @@ function grid_mech_FEM_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) -!-------------------------------------------------------------------------------------------------- -! set module wide available data - params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values - params%rotation_BC = rotation_BC - params%timeinc = timeinc - params%timeincOld = timeinc_old + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask,C_volAvg) !-------------------------------------------------------------------------------------------------- ! solve BVP - call SNESsolve(mech_snes,PETSC_NULL_VEC,solution_current,ierr);CHKERRQ(ierr) + call SNESsolve(mech_snes,PETSC_NULL_VEC,solution_current,ierr); CHKERRQ(ierr) !-------------------------------------------------------------------------------------------------- ! check convergence - call SNESGetConvergedReason(mech_snes,reason,ierr);CHKERRQ(ierr) + call SNESGetConvergedReason(mech_snes,reason,ierr); CHKERRQ(ierr) solution%converged = reason > 0 solution%iterationsNeeded = totalIter @@ -297,6 +321,14 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, PetscScalar, pointer, dimension(:,:,:,:) :: & u_current,u_lastInc +!-------------------------------------------------------------------------------------------------- +! set module wide available data + params%stress_mask = stress_BC%mask + params%rotation_BC = rotation_BC + params%timeinc = timeinc + params%timeincOld = timeinc_old + + call DMDAVecGetArrayF90(mech_grid,solution_current,u_current,ierr); CHKERRQ(ierr) call DMDAVecGetArrayF90(mech_grid,solution_lastInc,u_lastInc,ierr); CHKERRQ(ierr) @@ -305,20 +337,20 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, else C_volAvgLastInc = C_volAvg - F_aimDot = merge(stress_BC%maskFloat*(F_aim-F_aim_lastInc)/timeinc_old, 0.0_pReal, guess) + F_aimDot = merge(merge((F_aim-F_aim_lastInc)/timeinc_old,0.0_pReal,stress_BC%mask), 0.0_pReal, guess) F_aim_lastInc = F_aim - !-------------------------------------------------------------------------------------------------- + !----------------------------------------------------------------------------------------------- ! calculate rate for aim - if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * matmul(deformation_BC%values, F_aim_lastInc) - elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * deformation_BC%values - elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * (deformation_BC%values - F_aim_lastInc)/loadCaseTime + if (deformation_BC%myType=='L') then ! calculate F_aimDot from given L and current F + F_aimDot = F_aimDot & + + merge(matmul(deformation_BC%values, F_aim_lastInc),.0_pReal,deformation_BC%mask) + elseif(deformation_BC%myType=='dot_F') then ! F_aimDot is prescribed + F_aimDot = F_aimDot & + + merge(deformation_BC%values,.0_pReal,deformation_BC%mask) + elseif (deformation_BC%myType=='F') then ! aim at end of load case is prescribed + F_aimDot = F_aimDot & + + merge((deformation_BC%values - F_aim_lastInc)/loadCaseTime,.0_pReal,deformation_BC%mask) endif if (guess) then @@ -332,12 +364,18 @@ subroutine grid_mech_FEM_forward(cutBack,guess,timeinc,timeinc_old,loadCaseTime, F_lastInc = F - materialpoint_F0 = reshape(F, [3,3,1,product(grid(1:2))*grid3]) + homogenization_F0 = reshape(F, [3,3,1,product(grid(1:2))*grid3]) endif !-------------------------------------------------------------------------------------------------- ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc + if (stress_BC%myType=='P') then + P_aim = P_aim + merge((stress_BC%values - P_aim)/loadCaseTime*timeinc,.0_pReal,stress_BC%mask) + elseif (stress_BC%myType=='dot_P') then !UNTESTED + P_aim = P_aim + merge(stress_BC%values*timeinc,.0_pReal,stress_BC%mask) + endif + call VecAXPY(solution_current,timeinc,solution_rate,ierr); CHKERRQ(ierr) call DMDAVecRestoreArrayF90(mech_grid,solution_current,u_current,ierr);CHKERRQ(ierr) @@ -369,7 +407,7 @@ subroutine grid_mech_FEM_restartWrite call DMDAVecGetArrayF90(mech_grid,solution_current,u_current,ierr); CHKERRQ(ierr) call DMDAVecGetArrayF90(mech_grid,solution_lastInc,u_lastInc,ierr); CHKERRQ(ierr) - write(6,'(a)') ' writing solver data required for restart to file'; flush(6) + print*, 'writing solver data required for restart to file'; flush(IO_STDOUT) write(fileName,'(a,a,i0,a)') trim(getSolverJobName()),'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName,'w') @@ -415,15 +453,15 @@ subroutine converged(snes_local,PETScIter,devNull1,devNull2,fnorm,reason,dummy,i BCTol err_div = fnorm*sqrt(wgt)*geomSize(1)/scaledGeomSize(1)/detJ - divTol = max(maxval(abs(P_av))*err_div_tolRel ,err_div_tolAbs) - BCTol = max(maxval(abs(P_av))*err_stress_tolRel,err_stress_tolAbs) + divTol = max(maxval(abs(P_av))*num%eps_div_rtol ,num%eps_div_atol) + BCTol = max(maxval(abs(P_av))*num%eps_stress_rtol,num%eps_stress_atol) - if ((totalIter >= itmin .and. & + if ((totalIter >= num%itmin .and. & all([ err_div/divTol, & err_BC /BCTol ] < 1.0_pReal)) & .or. terminallyIll) then reason = 1 - elseif (totalIter >= itmax) then + elseif (totalIter >= num%itmax) then reason = -1 else reason = 0 @@ -431,13 +469,13 @@ subroutine converged(snes_local,PETScIter,devNull1,devNull2,fnorm,reason,dummy,i !-------------------------------------------------------------------------------------------------- ! report - write(6,'(1/,a)') ' ... reporting .............................................................' - write(6,'(1/,a,f12.2,a,es8.2,a,es9.2,a)') ' error divergence = ', & + print'(1/,a)', ' ... reporting .............................................................' + print'(1/,a,f12.2,a,es8.2,a,es9.2,a)', ' error divergence = ', & err_div/divTol, ' (',err_div,' / m, tol = ',divTol,')' - write(6,'(a,f12.2,a,es8.2,a,es9.2,a)') ' error stress BC = ', & + print'(a,f12.2,a,es8.2,a,es9.2,a)', ' error stress BC = ', & err_BC/BCTol, ' (',err_BC, ' Pa, tol = ',BCTol,')' - write(6,'(/,a)') ' ===========================================================================' - flush(6) + print'(/,a)', ' ===========================================================================' + flush(IO_STDOUT) end subroutine converged @@ -453,8 +491,6 @@ subroutine formResidual(da_local,x_local, & PetscScalar, pointer,dimension(:,:,:,:) :: x_scal, f_scal PetscScalar, dimension(8,3) :: x_elem, f_elem PetscInt :: i, ii, j, jj, k, kk, ctr, ele - real(pReal), dimension(3,3) :: & - deltaF_aim PetscInt :: & PETScIter, & nfuncs @@ -462,7 +498,6 @@ subroutine formResidual(da_local,x_local, & PetscErrorCode :: ierr real(pReal), dimension(3,3,3,3) :: devNull - call SNESGetNumberFunctionEvals(mech_snes,nfuncs,ierr); CHKERRQ(ierr) call SNESGetIterationNumber(mech_snes,PETScIter,ierr); CHKERRQ(ierr) @@ -472,13 +507,13 @@ subroutine formResidual(da_local,x_local, & ! begin of new iteration newIteration: if (totalIter <= PETScIter) then totalIter = totalIter + 1 - write(6,'(1x,a,3(a,i0))') trim(incInfo), ' @ Iteration ', itmin, '≤',totalIter+1, '≤', itmax - if (iand(debug_level(debug_spectral),debug_spectralRotation) /= 0) & - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & + print'(1x,a,3(a,i0))', trim(incInfo), ' @ Iteration ', num%itmin, '≤',totalIter+1, '≤', num%itmax + if (debugRotation) & + write(IO_STDOUT,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & ' deformation gradient aim (lab) =', transpose(params%rotation_BC%rotate(F_aim,active=.true.)) - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & + write(IO_STDOUT,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & ' deformation gradient aim =', transpose(F_aim) - flush(6) + flush(IO_STDOUT) endif newIteration !-------------------------------------------------------------------------------------------------- @@ -497,17 +532,15 @@ subroutine formResidual(da_local,x_local, & !-------------------------------------------------------------------------------------------------- ! evaluate constitutive response - call Utilities_constitutiveResponse(P_current,& + call utilities_constitutiveResponse(P_current,& P_av,C_volAvg,devNull, & F,params%timeinc,params%rotation_BC) call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr) !-------------------------------------------------------------------------------------------------- ! stress BC handling - F_aim_lastIter = F_aim - deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC) - F_aim = F_aim - deltaF_aim - err_BC = maxval(abs(params%stress_mask * (P_av - params%stress_BC))) ! mask = 0.0 when no stress bc + F_aim = F_aim - math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc + err_BC = maxval(abs(merge(P_av - P_aim,.0_pReal,params%stress_mask))) !-------------------------------------------------------------------------------------------------- ! constructing residual @@ -524,9 +557,9 @@ subroutine formResidual(da_local,x_local, & ii = i-xstart+1; jj = j-ystart+1; kk = k-zstart+1 ele = ele + 1 f_elem = matmul(transpose(BMat),transpose(P_current(1:3,1:3,ii,jj,kk)))*detJ + & - matmul(HGMat,x_elem)*(materialpoint_dPdF(1,1,1,1,1,ele) + & - materialpoint_dPdF(2,2,2,2,1,ele) + & - materialpoint_dPdF(3,3,3,3,1,ele))/3.0_pReal + matmul(HGMat,x_elem)*(homogenization_dPdF(1,1,1,1,1,ele) + & + homogenization_dPdF(2,2,2,2,1,ele) + & + homogenization_dPdF(3,3,3,3,1,ele))/3.0_pReal ctr = 0 do kk = 0, 1; do jj = 0, 1; do ii = 0, 1 ctr = ctr + 1 @@ -603,18 +636,18 @@ subroutine formJacobian(da_local,x_local,Jac_pre,Jac,dummy,ierr) row = col ele = ele + 1 K_ele = 0.0 - K_ele(1 :8 ,1 :8 ) = HGMat*(materialpoint_dPdF(1,1,1,1,1,ele) + & - materialpoint_dPdF(2,2,2,2,1,ele) + & - materialpoint_dPdF(3,3,3,3,1,ele))/3.0_pReal - K_ele(9 :16,9 :16) = HGMat*(materialpoint_dPdF(1,1,1,1,1,ele) + & - materialpoint_dPdF(2,2,2,2,1,ele) + & - materialpoint_dPdF(3,3,3,3,1,ele))/3.0_pReal - K_ele(17:24,17:24) = HGMat*(materialpoint_dPdF(1,1,1,1,1,ele) + & - materialpoint_dPdF(2,2,2,2,1,ele) + & - materialpoint_dPdF(3,3,3,3,1,ele))/3.0_pReal + K_ele(1 :8 ,1 :8 ) = HGMat*(homogenization_dPdF(1,1,1,1,1,ele) + & + homogenization_dPdF(2,2,2,2,1,ele) + & + homogenization_dPdF(3,3,3,3,1,ele))/3.0_pReal + K_ele(9 :16,9 :16) = HGMat*(homogenization_dPdF(1,1,1,1,1,ele) + & + homogenization_dPdF(2,2,2,2,1,ele) + & + homogenization_dPdF(3,3,3,3,1,ele))/3.0_pReal + K_ele(17:24,17:24) = HGMat*(homogenization_dPdF(1,1,1,1,1,ele) + & + homogenization_dPdF(2,2,2,2,1,ele) + & + homogenization_dPdF(3,3,3,3,1,ele))/3.0_pReal K_ele = K_ele + & matmul(transpose(BMatFull), & - matmul(reshape(reshape(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,ele), & + matmul(reshape(reshape(homogenization_dPdF(1:3,1:3,1:3,1:3,1,ele), & shape=[3,3,3,3], order=[2,1,4,3]),shape=[9,9]),BMatFull))*detJ call MatSetValuesStencil(Jac,24,row,24,col,K_ele,ADD_VALUES,ierr) CHKERRQ(ierr) diff --git a/src/grid/grid_mech_spectral_basic.f90 b/src/grid/grid_mech_spectral_basic.f90 index e04dd49f3..ec6c3a540 100644 --- a/src/grid/grid_mech_spectral_basic.f90 +++ b/src/grid/grid_mech_spectral_basic.f90 @@ -11,63 +11,70 @@ module grid_mech_spectral_basic use PETScsnes use prec + use parallelization use DAMASK_interface use HDF5_utilities use math use spectral_utilities use FEsolving use config - use numerics use homogenization use discretization_grid - use debug implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types - type(tSolutionParams), private :: params + type(tSolutionParams) :: params - type, private :: tNumerics + type :: tNumerics logical :: update_gamma !< update gamma operator with current stiffness + integer :: & + itmin, & !< minimum number of iterations + itmax !< maximum number of iterations + real(pReal) :: & + eps_div_atol, & !< absolute tolerance for equilibrium + eps_div_rtol, & !< relative tolerance for equilibrium + eps_stress_atol, & !< absolute tolerance for fullfillment of stress BC + eps_stress_rtol !< relative tolerance for fullfillment of stress BC end type tNumerics type(tNumerics) :: num ! numerics parameters. Better name? + logical :: debugRotation + !-------------------------------------------------------------------------------------------------- ! PETSc data - DM, private :: da - SNES, private :: snes - Vec, private :: solution_vec + DM :: da + SNES :: snes + Vec :: solution_vec !-------------------------------------------------------------------------------------------------- ! common pointwise data - real(pReal), private, dimension(:,:,:,:,:), allocatable :: & + real(pReal), dimension(:,:,:,:,:), allocatable :: & F_lastInc, & !< field of previous compatible deformation gradients Fdot !< field of assumed rate of compatible deformation gradient !-------------------------------------------------------------------------------------------------- ! stress, stiffness and compliance average etc. - real(pReal), private, dimension(3,3) :: & + real(pReal), dimension(3,3) :: & F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient F_aim = math_I3, & !< current prescribed deformation gradient F_aim_lastInc = math_I3, & !< previous average deformation gradient - P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress - - character(len=pStringLen), private :: incInfo !< time and increment information - real(pReal), private, dimension(3,3,3,3) :: & + P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress + P_aim = 0.0_pReal + character(len=:), allocatable :: incInfo !< time and increment information + real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness C_minMaxAvgLastInc = 0.0_pReal, & !< previous (min+max)/2 stiffness S = 0.0_pReal !< current compliance (filled up with zeros) - real(pReal), private :: & + real(pReal) :: & err_BC, & !< deviation from stress BC err_div !< RMS of div of P - integer, private :: & + integer :: & totalIter = 0 !< total iteration in current increment public :: & @@ -87,30 +94,55 @@ subroutine grid_mech_spectral_basic_init real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P real(pReal), dimension(3,3) :: & temp33_Real = 0.0_pReal - PetscErrorCode :: ierr PetscScalar, pointer, dimension(:,:,:,:) :: & F ! pointer to solution data - PetscInt, dimension(worldsize) :: localK + PetscInt, dimension(0:worldsize-1) :: localK integer(HID_T) :: fileHandle, groupHandle integer :: fileUnit - character(len=pStringLen) :: fileName + character(len=pStringLen) :: & + fileName + class (tNode), pointer :: & + num_grid, & + debug_grid - write(6,'(/,a)') ' <<<+- grid_mech_spectral_basic init -+>>>'; flush(6) + print'(/,a)', ' <<<+- grid_mech_spectral_basic init -+>>>'; flush(IO_STDOUT) - write(6,'(/,a)') ' Eisenlohr et al., International Journal of Plasticity 46:37–53, 2013' - write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2012.09.012' + print*, 'Eisenlohr et al., International Journal of Plasticity 46:37–53, 2013' + print*, 'https://doi.org/10.1016/j.ijplas.2012.09.012'//IO_EOL - write(6,'(/,a)') ' Shanthraj et al., International Journal of Plasticity 66:31–45, 2015' - write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2014.02.006' + print*, 'Shanthraj et al., International Journal of Plasticity 66:31–45, 2015' + print*, 'https://doi.org/10.1016/j.ijplas.2014.02.006' - num%update_gamma = config_numerics%getInt('update_gamma',defaultVal=0) > 0 +!------------------------------------------------------------------------------------------------- +! debugging options + debug_grid => config_debug%get('grid', defaultVal=emptyList) + debugRotation = debug_grid%contains('rotation') + +!------------------------------------------------------------------------------------------------- +! read numerical parameters and do sanity checks + num_grid => config_numerics%get('grid',defaultVal=emptyDict) + num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) + num%eps_div_atol = num_grid%get_asFloat ('eps_div_atol', defaultVal=1.0e-4_pReal) + num%eps_div_rtol = num_grid%get_asFloat ('eps_div_rtol', defaultVal=5.0e-4_pReal) + num%eps_stress_atol = num_grid%get_asFloat ('eps_stress_atol',defaultVal=1.0e3_pReal) + num%eps_stress_rtol = num_grid%get_asFloat ('eps_stress_rtol',defaultVal=1.0e-3_pReal) + num%itmin = num_grid%get_asInt ('itmin',defaultVal=1) + num%itmax = num_grid%get_asInt ('itmax',defaultVal=250) + + if (num%eps_div_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_div_atol') + if (num%eps_div_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_div_rtol') + if (num%eps_stress_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_stress_atol') + if (num%eps_stress_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_stress_rtol') + if (num%itmax <= 1) call IO_error(301,ext_msg='itmax') + if (num%itmin > num%itmax .or. num%itmin < 1) call IO_error(301,ext_msg='itmin') + !-------------------------------------------------------------------------------------------------- ! set default and user defined options for PETSc call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type ngmres',ierr) CHKERRQ(ierr) - call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) + call PETScOptionsInsertString(PETSC_NULL_OPTIONS,num_grid%get_asString('petsc_options',defaultVal=''),ierr) CHKERRQ(ierr) !-------------------------------------------------------------------------------------------------- @@ -123,7 +155,7 @@ subroutine grid_mech_spectral_basic_init call SNESCreate(PETSC_COMM_WORLD,snes,ierr); CHKERRQ(ierr) call SNESSetOptionsPrefix(snes,'mech_',ierr);CHKERRQ(ierr) localK = 0 - localK(worldrank+1) = grid3 + localK(worldrank) = grid3 call MPI_Allreduce(MPI_IN_PLACE,localK,worldsize,MPI_INTEGER,MPI_SUM,PETSC_COMM_WORLD,ierr) call DMDACreate3d(PETSC_COMM_WORLD, & DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, & ! cut off stencil at boundary @@ -149,7 +181,7 @@ subroutine grid_mech_spectral_basic_init call DMDAVecGetArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) ! places pointer on PETSc data restartRead: if (interface_restartInc > 0) then - write(6,'(/,a,i0,a)') ' reading restart data of increment ', interface_restartInc, ' from file' + print'(/,a,i0,a)', ' reading restart data of increment ', interface_restartInc, ' from file' write(fileName,'(a,a,i0,a)') trim(getSolverJobName()),'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName) @@ -166,15 +198,15 @@ subroutine grid_mech_spectral_basic_init F = reshape(F_lastInc,[9,grid(1),grid(2),grid3]) endif restartRead - materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent - call Utilities_updateCoords(reshape(F,shape(F_lastInc))) - call Utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 + homogenization_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent + call utilities_updateCoords(reshape(F,shape(F_lastInc))) + call utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 reshape(F,shape(F_lastInc)), & ! target F 0.0_pReal) ! time increment call DMDAVecRestoreArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) ! deassociate pointer restartRead2: if (interface_restartInc > 0) then - write(6,'(/,a,i0,a)') ' reading more restart data of increment ', interface_restartInc, ' from file' + print'(a,i0,a)', ' reading more restart data of increment ', interface_restartInc, ' from file' call HDF5_read(groupHandle,C_volAvg, 'C_volAvg') call HDF5_read(groupHandle,C_volAvgLastInc,'C_volAvgLastInc') @@ -196,19 +228,12 @@ end subroutine grid_mech_spectral_basic_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the basic scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution) +function grid_mech_spectral_basic_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - real(pReal), intent(in) :: & - timeinc, & !< time increment of current solution - timeinc_old !< time increment of last successful increment - type(tBoundaryCondition), intent(in) :: & - stress_BC - type(rotation), intent(in) :: & - rotation_BC type(tSolutionState) :: & solution !-------------------------------------------------------------------------------------------------- @@ -220,17 +245,9 @@ function grid_mech_spectral_basic_solution(incInfoIn,timeinc,timeinc_old,stress_ !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask,C_volAvg) if(num%update_gamma) call utilities_updateGamma(C_minMaxAvg) -!-------------------------------------------------------------------------------------------------- -! set module wide available data - params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values - params%rotation_BC = rotation_BC - params%timeinc = timeinc - params%timeincOld = timeinc_old - !-------------------------------------------------------------------------------------------------- ! solve BVP call SNESsolve(snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) @@ -268,7 +285,14 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo type(rotation), intent(in) :: & rotation_BC PetscErrorCode :: ierr - PetscScalar, dimension(:,:,:,:), pointer :: F + PetscScalar, pointer, dimension(:,:,:,:) :: F + +!-------------------------------------------------------------------------------------------------- +! set module wide available data + params%stress_mask = stress_BC%mask + params%rotation_BC = rotation_BC + params%timeinc = timeinc + params%timeincOld = timeinc_old call DMDAVecGetArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) @@ -279,20 +303,20 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo C_volAvgLastInc = C_volAvg C_minMaxAvgLastInc = C_minMaxAvg - F_aimDot = merge(stress_BC%maskFloat*(F_aim-F_aim_lastInc)/timeinc_old, 0.0_pReal, guess) + F_aimDot = merge(merge((F_aim-F_aim_lastInc)/timeinc_old,0.0_pReal,stress_BC%mask), 0.0_pReal, guess) F_aim_lastInc = F_aim !----------------------------------------------------------------------------------------------- ! calculate rate for aim - if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * matmul(deformation_BC%values, F_aim_lastInc) - elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * deformation_BC%values - elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * (deformation_BC%values - F_aim_lastInc)/loadCaseTime + if (deformation_BC%myType=='L') then ! calculate F_aimDot from given L and current F + F_aimDot = F_aimDot & + + merge(matmul(deformation_BC%values, F_aim_lastInc),.0_pReal,deformation_BC%mask) + elseif(deformation_BC%myType=='dot_F') then ! F_aimDot is prescribed + F_aimDot = F_aimDot & + + merge(deformation_BC%values,.0_pReal,deformation_BC%mask) + elseif (deformation_BC%myType=='F') then ! aim at end of load case is prescribed + F_aimDot = F_aimDot & + + merge((deformation_BC%values - F_aim_lastInc)/loadCaseTime,.0_pReal,deformation_BC%mask) endif Fdot = utilities_calculateRate(guess, & @@ -300,13 +324,19 @@ subroutine grid_mech_spectral_basic_forward(cutBack,guess,timeinc,timeinc_old,lo rotation_BC%rotate(F_aimDot,active=.true.)) F_lastInc = reshape(F,[3,3,grid(1),grid(2),grid3]) - materialpoint_F0 = reshape(F, [3,3,1,product(grid(1:2))*grid3]) + homogenization_F0 = reshape(F, [3,3,1,product(grid(1:2))*grid3]) endif !-------------------------------------------------------------------------------------------------- ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc - F = reshape(Utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average + if (stress_BC%myType=='P') then + P_aim = P_aim + merge((stress_BC%values - P_aim)/loadCaseTime*timeinc,.0_pReal,stress_BC%mask) + elseif (stress_BC%myType=='dot_P') then !UNTESTED + P_aim = P_aim + merge(stress_BC%values*timeinc,.0_pReal,stress_BC%mask) + endif + + F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average rotation_BC%rotate(F_aim,active=.true.)),[9,grid(1),grid(2),grid3]) call DMDAVecRestoreArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) @@ -340,7 +370,7 @@ subroutine grid_mech_spectral_basic_restartWrite call DMDAVecGetArrayF90(da,solution_vec,F,ierr); CHKERRQ(ierr) - write(6,'(a)') ' writing solver data required for restart to file'; flush(6) + print*, 'writing solver data required for restart to file'; flush(IO_STDOUT) write(fileName,'(a,a,i0,a)') trim(getSolverJobName()),'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName,'w') @@ -384,15 +414,15 @@ subroutine converged(snes_local,PETScIter,devNull1,devNull2,devNull3,reason,dumm divTol, & BCTol - divTol = max(maxval(abs(P_av))*err_div_tolRel ,err_div_tolAbs) - BCTol = max(maxval(abs(P_av))*err_stress_tolRel,err_stress_tolAbs) + divTol = max(maxval(abs(P_av))*num%eps_div_rtol ,num%eps_div_atol) + BCTol = max(maxval(abs(P_av))*num%eps_stress_rtol,num%eps_stress_atol) - if ((totalIter >= itmin .and. & + if ((totalIter >= num%itmin .and. & all([ err_div/divTol, & err_BC /BCTol ] < 1.0_pReal)) & .or. terminallyIll) then reason = 1 - elseif (totalIter >= itmax) then + elseif (totalIter >= num%itmax) then reason = -1 else reason = 0 @@ -400,13 +430,13 @@ subroutine converged(snes_local,PETScIter,devNull1,devNull2,devNull3,reason,dumm !-------------------------------------------------------------------------------------------------- ! report - write(6,'(1/,a)') ' ... reporting .............................................................' - write(6,'(1/,a,f12.2,a,es8.2,a,es9.2,a)') ' error divergence = ', & + print'(1/,a)', ' ... reporting .............................................................' + print'(1/,a,f12.2,a,es8.2,a,es9.2,a)', ' error divergence = ', & err_div/divTol, ' (',err_div,' / m, tol = ',divTol,')' - write(6,'(a,f12.2,a,es8.2,a,es9.2,a)') ' error stress BC = ', & + print'(a,f12.2,a,es8.2,a,es9.2,a)', ' error stress BC = ', & err_BC/BCTol, ' (',err_BC, ' Pa, tol = ',BCTol,')' - write(6,'(/,a)') ' ===========================================================================' - flush(6) + print'(/,a)', ' ===========================================================================' + flush(IO_STDOUT) end subroutine converged @@ -434,17 +464,18 @@ subroutine formResidual(in, F, & call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr) if (nfuncs == 0 .and. PETScIter == 0) totalIter = -1 ! new increment + !-------------------------------------------------------------------------------------------------- ! begin of new iteration newIteration: if (totalIter <= PETScIter) then totalIter = totalIter + 1 - write(6,'(1x,a,3(a,i0))') trim(incInfo), ' @ Iteration ', itmin, '≤',totalIter, '≤', itmax - if (iand(debug_level(debug_spectral),debug_spectralRotation) /= 0) & - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & + print'(1x,a,3(a,i0))', trim(incInfo), ' @ Iteration ', num%itmin, '≤',totalIter, '≤', num%itmax + if (debugRotation) & + write(IO_STDOUT,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & ' deformation gradient aim (lab) =', transpose(params%rotation_BC%rotate(F_aim,active=.true.)) - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & + write(IO_STDOUT,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & ' deformation gradient aim =', transpose(F_aim) - flush(6) + flush(IO_STDOUT) endif newIteration !-------------------------------------------------------------------------------------------------- @@ -456,16 +487,16 @@ subroutine formResidual(in, F, & !-------------------------------------------------------------------------------------------------- ! stress BC handling - deltaF_aim = math_mul3333xx33(S, P_av - params%stress_BC) + deltaF_aim = math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc F_aim = F_aim - deltaF_aim - err_BC = maxval(abs(params%stress_mask * (P_av - params%stress_BC))) ! mask = 0.0 when no stress bc + err_BC = maxval(abs(merge(P_av - P_aim,.0_pReal,params%stress_mask))) !-------------------------------------------------------------------------------------------------- ! updated deformation gradient using fix point algorithm of basic scheme tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residuum ! store fPK field for subsequent FFT forward transform call utilities_FFTtensorForward ! FFT forward of global "tensorField_real" - err_div = Utilities_divergenceRMS() ! divRMS of tensorField_fourier for later use + err_div = utilities_divergenceRMS() ! divRMS of tensorField_fourier for later use call utilities_fourierGammaConvolution(params%rotation_BC%rotate(deltaF_aim,active=.true.)) ! convolution of Gamma and tensorField_fourier call utilities_FFTtensorBackward ! FFT backward of global tensorField_fourier diff --git a/src/grid/grid_mech_spectral_polarisation.f90 b/src/grid/grid_mech_spectral_polarisation.f90 index 80ed2e485..8f9ea81b3 100644 --- a/src/grid/grid_mech_spectral_polarisation.f90 +++ b/src/grid/grid_mech_spectral_polarisation.f90 @@ -11,40 +11,51 @@ module grid_mech_spectral_polarisation use PETScsnes use prec + use parallelization use DAMASK_interface use HDF5_utilities use math - use rotations use spectral_utilities use FEsolving use config - use numerics use homogenization use discretization_grid - use debug implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types - type(tSolutionParams), private :: params + type(tSolutionParams) :: params - type, private :: tNumerics + type :: tNumerics logical :: update_gamma !< update gamma operator with current stiffness + integer :: & + itmin, & !< minimum number of iterations + itmax !< maximum number of iterations + real(pReal) :: & + eps_div_atol, & !< absolute tolerance for equilibrium + eps_div_rtol, & !< relative tolerance for equilibrium + eps_curl_atol, & !< absolute tolerance for compatibility + eps_curl_rtol, & !< relative tolerance for compatibility + eps_stress_atol, & !< absolute tolerance for fullfillment of stress BC + eps_stress_rtol !< relative tolerance for fullfillment of stress BC + real(pReal) :: & + alpha, & !< polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme + beta !< polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme end type tNumerics type(tNumerics) :: num ! numerics parameters. Better name? + logical :: debugRotation + !-------------------------------------------------------------------------------------------------- ! PETSc data - DM, private :: da - SNES, private :: snes - Vec, private :: solution_vec + DM :: da + SNES :: snes + Vec :: solution_vec !-------------------------------------------------------------------------------------------------- ! common pointwise data - real(pReal), private, dimension(:,:,:,:,:), allocatable :: & + real(pReal), dimension(:,:,:,:,:), allocatable :: & F_lastInc, & !< field of previous compatible deformation gradients F_tau_lastInc, & !< field of previous incompatible deformation gradient Fdot, & !< field of assumed rate of compatible deformation gradient @@ -52,15 +63,15 @@ module grid_mech_spectral_polarisation !-------------------------------------------------------------------------------------------------- ! stress, stiffness and compliance average etc. - real(pReal), private, dimension(3,3) :: & + real(pReal), dimension(3,3) :: & F_aimDot = 0.0_pReal, & !< assumed rate of average deformation gradient F_aim = math_I3, & !< current prescribed deformation gradient F_aim_lastInc = math_I3, & !< previous average deformation gradient F_av = 0.0_pReal, & !< average incompatible def grad field - P_av = 0.0_pReal !< average 1st Piola--Kirchhoff stress - - character(len=pStringLen), private :: incInfo !< time and increment information - real(pReal), private, dimension(3,3,3,3) :: & + P_av = 0.0_pReal, & !< average 1st Piola--Kirchhoff stress + P_aim = 0.0_pReal + character(len=:), allocatable :: incInfo !< time and increment information + real(pReal), dimension(3,3,3,3) :: & C_volAvg = 0.0_pReal, & !< current volume average stiffness C_volAvgLastInc = 0.0_pReal, & !< previous volume average stiffness C_minMaxAvg = 0.0_pReal, & !< current (min+max)/2 stiffness @@ -69,12 +80,12 @@ module grid_mech_spectral_polarisation C_scale = 0.0_pReal, & S_scale = 0.0_pReal - real(pReal), private :: & + real(pReal) :: & err_BC, & !< deviation from stress BC err_curl, & !< RMS of curl of F err_div !< RMS of div of P - integer, private :: & + integer :: & totalIter = 0 !< total iteration in current increment public :: & @@ -94,7 +105,6 @@ subroutine grid_mech_spectral_polarisation_init real(pReal), dimension(3,3,grid(1),grid(2),grid3) :: P real(pReal), dimension(3,3) :: & temp33_Real = 0.0_pReal - PetscErrorCode :: ierr PetscScalar, pointer, dimension(:,:,:,:) :: & FandF_tau, & ! overall pointer to solution data @@ -103,20 +113,54 @@ subroutine grid_mech_spectral_polarisation_init PetscInt, dimension(0:worldsize-1) :: localK integer(HID_T) :: fileHandle, groupHandle integer :: fileUnit - character(len=pStringLen) :: fileName + character(len=pStringLen) :: & + fileName + class (tNode), pointer :: & + num_grid, & + debug_grid - write(6,'(/,a)') ' <<<+- grid_mech_spectral_polarisation init -+>>>'; flush(6) + print'(/,a)', ' <<<+- grid_mech_spectral_polarisation init -+>>>'; flush(IO_STDOUT) - write(6,'(/,a)') ' Shanthraj et al., International Journal of Plasticity 66:31–45, 2015' - write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2014.02.006' + print*, 'Shanthraj et al., International Journal of Plasticity 66:31–45, 2015' + print*, 'https://doi.org/10.1016/j.ijplas.2014.02.006' - num%update_gamma = config_numerics%getInt('update_gamma',defaultVal=0) > 0 +!------------------------------------------------------------------------------------------------- +! debugging options + debug_grid => config_debug%get('grid',defaultVal=emptyList) + debugRotation = debug_grid%contains('rotation') + +!------------------------------------------------------------------------------------------------- +! read numerical parameters and do sanity checks + num_grid => config_numerics%get('grid',defaultVal=emptyDict) + + num%update_gamma = num_grid%get_asBool ('update_gamma', defaultVal=.false.) + num%eps_div_atol = num_grid%get_asFloat('eps_div_atol', defaultVal=1.0e-4_pReal) + num%eps_div_rtol = num_grid%get_asFloat('eps_div_rtol', defaultVal=5.0e-4_pReal) + num%eps_curl_atol = num_grid%get_asFloat('eps_curl_atol', defaultVal=1.0e-10_pReal) + num%eps_curl_rtol = num_grid%get_asFloat('eps_curl_rtol', defaultVal=5.0e-4_pReal) + num%eps_stress_atol = num_grid%get_asFloat('eps_stress_atol',defaultVal=1.0e3_pReal) + num%eps_stress_rtol = num_grid%get_asFloat('eps_stress_rtol',defaultVal=1.0e-3_pReal) + num%itmin = num_grid%get_asInt ('itmin', defaultVal=1) + num%itmax = num_grid%get_asInt ('itmax', defaultVal=250) + num%alpha = num_grid%get_asFloat('alpha', defaultVal=1.0_pReal) + num%beta = num_grid%get_asFloat('beta', defaultVal=1.0_pReal) + + if (num%eps_div_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_div_atol') + if (num%eps_div_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_div_rtol') + if (num%eps_curl_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_curl_atol') + if (num%eps_curl_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_curl_rtol') + if (num%eps_stress_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_stress_atol') + if (num%eps_stress_rtol < 0.0_pReal) call IO_error(301,ext_msg='eps_stress_rtol') + if (num%itmax <= 1) call IO_error(301,ext_msg='itmax') + if (num%itmin > num%itmax .or. num%itmin < 1) call IO_error(301,ext_msg='itmin') + if (num%alpha <= 0.0_pReal .or. num%alpha > 2.0_pReal) call IO_error(301,ext_msg='alpha') + if (num%beta < 0.0_pReal .or. num%beta > 2.0_pReal) call IO_error(301,ext_msg='beta') !-------------------------------------------------------------------------------------------------- ! set default and user defined options for PETSc call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-mech_snes_type ngmres',ierr) CHKERRQ(ierr) - call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) + call PETScOptionsInsertString(PETSC_NULL_OPTIONS,num_grid%get_asString('petsc_options',defaultVal=''),ierr) CHKERRQ(ierr) !-------------------------------------------------------------------------------------------------- @@ -159,7 +203,7 @@ subroutine grid_mech_spectral_polarisation_init F_tau => FandF_tau(9:17,:,:,:) restartRead: if (interface_restartInc > 0) then - write(6,'(/,a,i0,a)') ' reading restart data of increment ', interface_restartInc, ' from file' + print'(/,a,i0,a)', ' reading restart data of increment ', interface_restartInc, ' from file' write(fileName,'(a,a,i0,a)') trim(getSolverJobName()),'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName) @@ -180,15 +224,15 @@ subroutine grid_mech_spectral_polarisation_init F_tau_lastInc = 2.0_pReal*F_lastInc endif restartRead - materialpoint_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent - call Utilities_updateCoords(reshape(F,shape(F_lastInc))) - call Utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 + homogenization_F0 = reshape(F_lastInc, [3,3,1,product(grid(1:2))*grid3]) ! set starting condition for materialpoint_stressAndItsTangent + call utilities_updateCoords(reshape(F,shape(F_lastInc))) + call utilities_constitutiveResponse(P,temp33_Real,C_volAvg,C_minMaxAvg, & ! stress field, stress avg, global average of stiffness and (min+max)/2 reshape(F,shape(F_lastInc)), & ! target F 0.0_pReal) ! time increment call DMDAVecRestoreArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) ! deassociate pointer restartRead2: if (interface_restartInc > 0) then - write(6,'(/,a,i0,a)') ' reading more restart data of increment ', interface_restartInc, ' from file' + print'(a,i0,a)', ' reading more restart data of increment ', interface_restartInc, ' from file' call HDF5_read(groupHandle,C_volAvg, 'C_volAvg') call HDF5_read(groupHandle,C_volAvgLastInc,'C_volAvgLastInc') @@ -212,19 +256,12 @@ end subroutine grid_mech_spectral_polarisation_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the Polarisation scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_mech_spectral_polarisation_solution(incInfoIn,timeinc,timeinc_old,stress_BC,rotation_BC) result(solution) +function grid_mech_spectral_polarisation_solution(incInfoIn) result(solution) !-------------------------------------------------------------------------------------------------- ! input data for solution character(len=*), intent(in) :: & incInfoIn - real(pReal), intent(in) :: & - timeinc, & !< time increment of current solution - timeinc_old !< time increment of last successful increment - type(tBoundaryCondition), intent(in) :: & - stress_BC - type(rotation), intent(in) :: & - rotation_BC type(tSolutionState) :: & solution !-------------------------------------------------------------------------------------------------- @@ -236,21 +273,13 @@ function grid_mech_spectral_polarisation_solution(incInfoIn,timeinc,timeinc_old, !-------------------------------------------------------------------------------------------------- ! update stiffness (and gamma operator) - S = utilities_maskedCompliance(rotation_BC,stress_BC%maskLogical,C_volAvg) - if (num%update_gamma) then + S = utilities_maskedCompliance(params%rotation_BC,params%stress_mask,C_volAvg) + if(num%update_gamma) then call utilities_updateGamma(C_minMaxAvg) C_scale = C_minMaxAvg S_scale = math_invSym3333(C_minMaxAvg) endif -!-------------------------------------------------------------------------------------------------- -! set module wide available data - params%stress_mask = stress_BC%maskFloat - params%stress_BC = stress_BC%values - params%rotation_BC = rotation_BC - params%timeinc = timeinc - params%timeincOld = timeinc_old - !-------------------------------------------------------------------------------------------------- ! solve BVP call SNESsolve(snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) @@ -288,10 +317,17 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc type(rotation), intent(in) :: & rotation_BC PetscErrorCode :: ierr - PetscScalar, dimension(:,:,:,:), pointer :: FandF_tau, F, F_tau + PetscScalar, pointer, dimension(:,:,:,:) :: FandF_tau, F, F_tau integer :: i, j, k real(pReal), dimension(3,3) :: F_lambda33 +!-------------------------------------------------------------------------------------------------- +! set module wide available data + params%stress_mask = stress_BC%mask + params%rotation_BC = rotation_BC + params%timeinc = timeinc + params%timeincOld = timeinc_old + call DMDAVecGetArrayF90(da,solution_vec,FandF_tau,ierr); CHKERRQ(ierr) F => FandF_tau(0: 8,:,:,:) F_tau => FandF_tau(9:17,:,:,:) @@ -303,20 +339,20 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc C_volAvgLastInc = C_volAvg C_minMaxAvgLastInc = C_minMaxAvg - F_aimDot = merge(stress_BC%maskFloat*(F_aim-F_aim_lastInc)/timeinc_old, 0.0_pReal, guess) + F_aimDot = merge(merge((F_aim-F_aim_lastInc)/timeinc_old,0.0_pReal,stress_BC%mask), 0.0_pReal, guess) F_aim_lastInc = F_aim !----------------------------------------------------------------------------------------------- ! calculate rate for aim - if (deformation_BC%myType=='l') then ! calculate F_aimDot from given L and current F - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * matmul(deformation_BC%values, F_aim_lastInc) - elseif(deformation_BC%myType=='fdot') then ! F_aimDot is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * deformation_BC%values - elseif (deformation_BC%myType=='f') then ! aim at end of load case is prescribed - F_aimDot = & - F_aimDot + deformation_BC%maskFloat * (deformation_BC%values - F_aim_lastInc)/loadCaseTime + if (deformation_BC%myType=='L') then ! calculate F_aimDot from given L and current F + F_aimDot = F_aimDot & + + merge(matmul(deformation_BC%values, F_aim_lastInc),.0_pReal,deformation_BC%mask) + elseif(deformation_BC%myType=='dot_F') then ! F_aimDot is prescribed + F_aimDot = F_aimDot & + + merge(deformation_BC%values,.0_pReal,deformation_BC%mask) + elseif (deformation_BC%myType=='F') then ! aim at end of load case is prescribed + F_aimDot = F_aimDot & + + merge((deformation_BC%values - F_aim_lastInc)/loadCaseTime,.0_pReal,deformation_BC%mask) endif Fdot = utilities_calculateRate(guess, & @@ -328,12 +364,18 @@ subroutine grid_mech_spectral_polarisation_forward(cutBack,guess,timeinc,timeinc F_lastInc = reshape(F, [3,3,grid(1),grid(2),grid3]) F_tau_lastInc = reshape(F_tau,[3,3,grid(1),grid(2),grid3]) - materialpoint_F0 = reshape(F,[3,3,1,product(grid(1:2))*grid3]) + homogenization_F0 = reshape(F,[3,3,1,product(grid(1:2))*grid3]) endif !-------------------------------------------------------------------------------------------------- ! update average and local deformation gradients F_aim = F_aim_lastInc + F_aimDot * timeinc + if (stress_BC%myType=='P') then + P_aim = P_aim + merge((stress_BC%values - P_aim)/loadCaseTime*timeinc,.0_pReal,stress_BC%mask) + elseif (stress_BC%myType=='dot_P') then !UNTESTED + P_aim = P_aim + merge(stress_BC%values*timeinc,.0_pReal,stress_BC%mask) + endif + F = reshape(utilities_forwardField(timeinc,F_lastInc,Fdot, & ! estimate of F at end of time+timeinc that matches rotated F_aim on average rotation_BC%rotate(F_aim,active=.true.)),& [9,grid(1),grid(2),grid3]) @@ -386,7 +428,7 @@ subroutine grid_mech_spectral_polarisation_restartWrite F => FandF_tau(0: 8,:,:,:) F_tau => FandF_tau(9:17,:,:,:) - write(6,'(a)') ' writing solver data required for restart to file'; flush(6) + print*, 'writing solver data required for restart to file'; flush(IO_STDOUT) write(fileName,'(a,a,i0,a)') trim(getSolverJobName()),'_',worldrank,'.hdf5' fileHandle = HDF5_openFile(fileName,'w') @@ -432,17 +474,17 @@ subroutine converged(snes_local,PETScIter,devNull1,devNull2,devNull3,reason,dumm divTol, & BCTol - curlTol = max(maxval(abs(F_aim-math_I3))*err_curl_tolRel ,err_curl_tolAbs) - divTol = max(maxval(abs(P_av)) *err_div_tolRel ,err_div_tolAbs) - BCTol = max(maxval(abs(P_av)) *err_stress_tolRel,err_stress_tolAbs) + curlTol = max(maxval(abs(F_aim-math_I3))*num%eps_curl_rtol ,num%eps_curl_atol) + divTol = max(maxval(abs(P_av)) *num%eps_div_rtol ,num%eps_div_atol) + BCTol = max(maxval(abs(P_av)) *num%eps_stress_rtol,num%eps_stress_atol) - if ((totalIter >= itmin .and. & + if ((totalIter >= num%itmin .and. & all([ err_div /divTol, & err_curl/curlTol, & err_BC /BCTol ] < 1.0_pReal)) & .or. terminallyIll) then reason = 1 - elseif (totalIter >= itmax) then + elseif (totalIter >= num%itmax) then reason = -1 else reason = 0 @@ -450,15 +492,15 @@ subroutine converged(snes_local,PETScIter,devNull1,devNull2,devNull3,reason,dumm !-------------------------------------------------------------------------------------------------- ! report - write(6,'(1/,a)') ' ... reporting .............................................................' - write(6,'(1/,a,f12.2,a,es8.2,a,es9.2,a)') ' error divergence = ', & + print'(1/,a)', ' ... reporting .............................................................' + print'(1/,a,f12.2,a,es8.2,a,es9.2,a)', ' error divergence = ', & err_div/divTol, ' (',err_div, ' / m, tol = ',divTol,')' - write(6, '(a,f12.2,a,es8.2,a,es9.2,a)') ' error curl = ', & + print '(a,f12.2,a,es8.2,a,es9.2,a)', ' error curl = ', & err_curl/curlTol,' (',err_curl,' -, tol = ',curlTol,')' - write(6, '(a,f12.2,a,es8.2,a,es9.2,a)') ' error BC = ', & + print '(a,f12.2,a,es8.2,a,es9.2,a)', ' error stress BC = ', & err_BC/BCTol, ' (',err_BC, ' Pa, tol = ',BCTol,')' - write(6,'(/,a)') ' ===========================================================================' - flush(6) + print'(/,a)', ' ===========================================================================' + flush(IO_STDOUT) end subroutine converged @@ -484,9 +526,11 @@ subroutine formResidual(in, FandF_tau, & nfuncs PetscObject :: dummy PetscErrorCode :: ierr - integer :: & + integer :: & i, j, k, e +!--------------------------------------------------------------------------------------------------- + F => FandF_tau(1:3,1:3,1,& XG_RANGE,YG_RANGE,ZG_RANGE) F_tau => FandF_tau(1:3,1:3,2,& @@ -503,17 +547,18 @@ subroutine formResidual(in, FandF_tau, & call SNESGetIterationNumber(snes,PETScIter,ierr); CHKERRQ(ierr) if (nfuncs == 0 .and. PETScIter == 0) totalIter = -1 ! new increment + !-------------------------------------------------------------------------------------------------- ! begin of new iteration newIteration: if (totalIter <= PETScIter) then totalIter = totalIter + 1 - write(6,'(1x,a,3(a,i0))') trim(incInfo), ' @ Iteration ', itmin, '≤',totalIter, '≤', itmax - if (iand(debug_level(debug_spectral),debug_spectralRotation) /= 0) & - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & + print'(1x,a,3(a,i0))', trim(incInfo), ' @ Iteration ', num%itmin, '≤',totalIter, '≤', num%itmax + if(debugRotation) & + write(IO_STDOUT,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & ' deformation gradient aim (lab) =', transpose(params%rotation_BC%rotate(F_aim,active=.true.)) - write(6,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & + write(IO_STDOUT,'(/,a,/,3(3(f12.7,1x)/))',advance='no') & ' deformation gradient aim =', transpose(F_aim) - flush(6) + flush(IO_STDOUT) endif newIteration !-------------------------------------------------------------------------------------------------- @@ -521,39 +566,39 @@ subroutine formResidual(in, FandF_tau, & tensorField_real = 0.0_pReal do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1) tensorField_real(1:3,1:3,i,j,k) = & - polarBeta*math_mul3333xx33(C_scale,F(1:3,1:3,i,j,k) - math_I3) -& - polarAlpha*matmul(F(1:3,1:3,i,j,k), & + num%beta*math_mul3333xx33(C_scale,F(1:3,1:3,i,j,k) - math_I3) -& + num%alpha*matmul(F(1:3,1:3,i,j,k), & math_mul3333xx33(C_scale,F_tau(1:3,1:3,i,j,k) - F(1:3,1:3,i,j,k) - math_I3)) enddo; enddo; enddo !-------------------------------------------------------------------------------------------------- ! doing convolution in Fourier space call utilities_FFTtensorForward - call utilities_fourierGammaConvolution(params%rotation_BC%rotate(polarBeta*F_aim,active=.true.)) + call utilities_fourierGammaConvolution(params%rotation_BC%rotate(num%beta*F_aim,active=.true.)) call utilities_FFTtensorBackward !-------------------------------------------------------------------------------------------------- ! constructing residual - residual_F_tau = polarBeta*F - tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) + residual_F_tau = num%beta*F - tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) !-------------------------------------------------------------------------------------------------- ! evaluate constitutive response call utilities_constitutiveResponse(residual_F, & ! "residuum" gets field of first PK stress (to save memory) P_av,C_volAvg,C_minMaxAvg, & - F - residual_F_tau/polarBeta,params%timeinc,params%rotation_BC) + F - residual_F_tau/num%beta,params%timeinc,params%rotation_BC) call MPI_Allreduce(MPI_IN_PLACE,terminallyIll,1,MPI_LOGICAL,MPI_LOR,PETSC_COMM_WORLD,ierr) !-------------------------------------------------------------------------------------------------- ! stress BC handling - F_aim = F_aim - math_mul3333xx33(S, ((P_av - params%stress_BC))) ! S = 0.0 for no bc - err_BC = maxval(abs((1.0_pReal-params%stress_mask) * math_mul3333xx33(C_scale,F_aim & - -params%rotation_BC%rotate(F_av)) + & - params%stress_mask * (P_av-params%stress_BC))) ! mask = 0.0 for no bc + F_aim = F_aim - math_mul3333xx33(S, P_av - P_aim) ! S = 0.0 for no bc + err_BC = maxval(abs(merge(P_av-P_aim, & + math_mul3333xx33(C_scale,F_aim-params%rotation_BC%rotate(F_av)),& + params%stress_mask))) ! calculate divergence tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = residual_F !< stress field in disguise call utilities_FFTtensorForward - err_div = Utilities_divergenceRMS() !< root mean squared error in divergence of stress + err_div = utilities_divergenceRMS() !< root mean squared error in divergence of stress !-------------------------------------------------------------------------------------------------- ! constructing residual @@ -561,7 +606,7 @@ subroutine formResidual(in, FandF_tau, & do k = 1, grid3; do j = 1, grid(2); do i = 1, grid(1) e = e + 1 residual_F(1:3,1:3,i,j,k) = & - math_mul3333xx33(math_invSym3333(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,e) + C_scale), & + math_mul3333xx33(math_invSym3333(homogenization_dPdF(1:3,1:3,1:3,1:3,1,e) + C_scale), & residual_F(1:3,1:3,i,j,k) - matmul(F(1:3,1:3,i,j,k), & math_mul3333xx33(C_scale,F_tau(1:3,1:3,i,j,k) - F(1:3,1:3,i,j,k) - math_I3))) & + residual_F_tau(1:3,1:3,i,j,k) @@ -572,7 +617,7 @@ subroutine formResidual(in, FandF_tau, & tensorField_real = 0.0_pReal tensorField_real(1:3,1:3,1:grid(1),1:grid(2),1:grid3) = F call utilities_FFTtensorForward - err_curl = Utilities_curlRMS() + err_curl = utilities_curlRMS() end subroutine formResidual diff --git a/src/grid/grid_thermal_spectral.f90 b/src/grid/grid_thermal_spectral.f90 index 1c8314369..b4f9acddb 100644 --- a/src/grid/grid_thermal_spectral.f90 +++ b/src/grid/grid_thermal_spectral.f90 @@ -11,41 +11,49 @@ module grid_thermal_spectral use PETScsnes use prec + use parallelization + use IO use spectral_utilities use discretization_grid use thermal_conduction - use numerics + use YAML_types + use config use material implicit none private -!-------------------------------------------------------------------------------------------------- -! derived types - type(tSolutionParams), private :: params + type :: tNumerics + integer :: & + itmax !< maximum number of iterations + real(pReal) :: & + eps_thermal_atol, & !< absolute tolerance for thermal equilibrium + eps_thermal_rtol !< relative tolerance for thermal equilibrium + end type tNumerics + type(tNumerics) :: num + + type(tSolutionParams) :: params !-------------------------------------------------------------------------------------------------- ! PETSc data - SNES, private :: thermal_snes - Vec, private :: solution_vec - PetscInt, private :: xstart, xend, ystart, yend, zstart, zend - real(pReal), private, dimension(:,:,:), allocatable :: & + SNES :: thermal_snes + Vec :: solution_vec + PetscInt :: xstart, xend, ystart, yend, zstart, zend + real(pReal), dimension(:,:,:), allocatable :: & T_current, & !< field of current temperature T_lastInc, & !< field of previous temperature T_stagInc !< field of staggered temperature !-------------------------------------------------------------------------------------------------- ! reference diffusion tensor, mobility etc. - integer, private :: totalIter = 0 !< total iteration in current increment - real(pReal), dimension(3,3), private :: K_ref - real(pReal), private :: mu_ref + integer :: totalIter = 0 !< total iteration in current increment + real(pReal), dimension(3,3) :: K_ref + real(pReal) :: mu_ref public :: & grid_thermal_spectral_init, & grid_thermal_spectral_solution, & grid_thermal_spectral_forward - private :: & - formResidual contains @@ -60,17 +68,30 @@ subroutine grid_thermal_spectral_init DM :: thermal_grid PetscScalar, dimension(:,:,:), pointer :: x_scal PetscErrorCode :: ierr + class(tNode), pointer :: & + num_grid - write(6,'(/,a)') ' <<<+- grid_thermal_spectral init -+>>>' + print'(/,a)', ' <<<+- grid_thermal_spectral init -+>>>' - write(6,'(/,a)') ' Shanthraj et al., Handbook of Mechanics of Materials, 2019' - write(6,'(a)') ' https://doi.org/10.1007/978-981-10-6855-3_80' + print*, 'Shanthraj et al., Handbook of Mechanics of Materials, 2019' + print*, 'https://doi.org/10.1007/978-981-10-6855-3_80' + +!------------------------------------------------------------------------------------------------- +! read numerical parameters and do sanity checks + num_grid => config_numerics%get('grid',defaultVal=emptyDict) + num%itmax = num_grid%get_asInt ('itmax', defaultVal=250) + num%eps_thermal_atol = num_grid%get_asFloat ('eps_thermal_atol',defaultVal=1.0e-2_pReal) + num%eps_thermal_rtol = num_grid%get_asFloat ('eps_thermal_rtol',defaultVal=1.0e-6_pReal) + + if (num%itmax <= 1) call IO_error(301,ext_msg='itmax') + if (num%eps_thermal_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_thermal_atol') + if (num%eps_thermal_rtol <= 0.0_pReal) call IO_error(301,ext_msg='eps_thermal_rtol') !-------------------------------------------------------------------------------------------------- ! set default and user defined options for PETSc call PETScOptionsInsertString(PETSC_NULL_OPTIONS,'-thermal_snes_type ngmres',ierr) CHKERRQ(ierr) - call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) + call PETScOptionsInsertString(PETSC_NULL_OPTIONS,num_grid%get_asString('petsc_options',defaultVal=''),ierr) CHKERRQ(ierr) !-------------------------------------------------------------------------------------------------- @@ -85,7 +106,7 @@ subroutine grid_thermal_spectral_init DMDA_STENCIL_BOX, & ! Moore (26) neighborhood around central point grid(1),grid(2),grid(3), & ! global grid 1, 1, worldsize, & - 1, 0, & ! #dof (thermal phase field), ghost boundary width (domain overlap) + 1, 0, & ! #dof (T field), ghost boundary width (domain overlap) [grid(1)],[grid(2)],localK, & ! local grid thermal_grid,ierr) ! handle, error CHKERRQ(ierr) @@ -127,11 +148,10 @@ end subroutine grid_thermal_spectral_init !-------------------------------------------------------------------------------------------------- !> @brief solution for the spectral thermal scheme with internal iterations !-------------------------------------------------------------------------------------------------- -function grid_thermal_spectral_solution(timeinc,timeinc_old) result(solution) +function grid_thermal_spectral_solution(timeinc) result(solution) real(pReal), intent(in) :: & - timeinc, & !< increment in time for current solution - timeinc_old !< increment in time of last increment + timeinc !< increment in time for current solution integer :: i, j, k, cell type(tSolutionState) :: solution PetscInt :: devNull @@ -145,14 +165,13 @@ function grid_thermal_spectral_solution(timeinc,timeinc_old) result(solution) !-------------------------------------------------------------------------------------------------- ! set module wide availabe data params%timeinc = timeinc - params%timeincOld = timeinc_old call SNESSolve(thermal_snes,PETSC_NULL_VEC,solution_vec,ierr); CHKERRQ(ierr) call SNESGetConvergedReason(thermal_snes,reason,ierr); CHKERRQ(ierr) if (reason < 1) then solution%converged = .false. - solution%iterationsNeeded = itmax + solution%iterationsNeeded = num%itmax else solution%converged = .true. solution%iterationsNeeded = totalIter @@ -162,7 +181,7 @@ function grid_thermal_spectral_solution(timeinc,timeinc_old) result(solution) call MPI_Allreduce(MPI_IN_PLACE,stagNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr) call MPI_Allreduce(MPI_IN_PLACE,solnNorm,1,MPI_DOUBLE,MPI_MAX,PETSC_COMM_WORLD,ierr) T_stagInc = T_current - solution%stagConverged = stagNorm < max(err_thermal_tolAbs, err_thermal_tolRel*solnNorm) + solution%stagConverged = stagNorm < max(num%eps_thermal_atol, num%eps_thermal_rtol*solnNorm) !-------------------------------------------------------------------------------------------------- ! updating thermal state @@ -177,11 +196,11 @@ function grid_thermal_spectral_solution(timeinc,timeinc_old) result(solution) call VecMin(solution_vec,devNull,T_min,ierr); CHKERRQ(ierr) call VecMax(solution_vec,devNull,T_max,ierr); CHKERRQ(ierr) if (solution%converged) & - write(6,'(/,a)') ' ... thermal conduction converged ..................................' - write(6,'(/,a,f8.4,2x,f8.4,2x,f8.4,/)',advance='no') ' Minimum|Maximum|Delta Temperature / K = ',& + print'(/,a)', ' ... thermal conduction converged ..................................' + write(IO_STDOUT,'(/,a,f8.4,2x,f8.4,2x,f8.4,/)',advance='no') ' Minimum|Maximum|Delta Temperature / K = ',& T_min, T_max, stagNorm - write(6,'(/,a)') ' ===========================================================================' - flush(6) + print'(/,a)', ' ===========================================================================' + flush(IO_STDOUT) end function grid_thermal_spectral_solution diff --git a/src/grid/spectral_utilities.f90 b/src/grid/spectral_utilities.f90 index 66426fc9a..fddd1885f 100644 --- a/src/grid/spectral_utilities.f90 +++ b/src/grid/spectral_utilities.f90 @@ -10,13 +10,11 @@ module spectral_utilities use prec use DAMASK_interface + use parallelization use math use rotations use IO use discretization_grid - use numerics - use debug - use config use discretization use homogenization @@ -49,15 +47,15 @@ module spectral_utilities complex(C_DOUBLE_COMPLEX),public, dimension(:,:,:,:), pointer :: vectorField_fourier !< vector field fourier representation for fftw real(C_DOUBLE), public, dimension(:,:,:), pointer :: scalarField_real !< scalar field real representation for fftw complex(C_DOUBLE_COMPLEX),public, dimension(:,:,:), pointer :: scalarField_fourier !< scalar field fourier representation for fftw - complex(pReal), private, dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat !< gamma operator (field) for spectral method - complex(pReal), private, dimension(:,:,:,:), allocatable :: xi1st !< wave vector field for first derivatives - complex(pReal), private, dimension(:,:,:,:), allocatable :: xi2nd !< wave vector field for second derivatives - real(pReal), private, dimension(3,3,3,3) :: C_ref !< mechanic reference stiffness + complex(pReal), dimension(:,:,:,:,:,:,:), allocatable :: gamma_hat !< gamma operator (field) for spectral method + complex(pReal), dimension(:,:,:,:), allocatable :: xi1st !< wave vector field for first derivatives + complex(pReal), dimension(:,:,:,:), allocatable :: xi2nd !< wave vector field for second derivatives + real(pReal), dimension(3,3,3,3) :: C_ref !< mechanic reference stiffness !-------------------------------------------------------------------------------------------------- ! plans for FFTW - type(C_PTR), private :: & + type(C_PTR) :: & planTensorForth, & !< FFTW MPI plan P(x) to P(k) planTensorBack, & !< FFTW MPI plan F(k) to F(x) planVectorForth, & !< FFTW MPI plan v(x) to v(k) @@ -67,7 +65,7 @@ module spectral_utilities !-------------------------------------------------------------------------------------------------- ! variables controlling debugging - logical, private :: & + logical :: & debugGeneral, & !< general debugging of spectral solver debugRotation, & !< also printing out results in lab frame debugPETSc !< use some in debug defined options for more verbose PETSc solution @@ -84,43 +82,36 @@ module spectral_utilities end type tSolutionState type, public :: tBoundaryCondition !< set of parameters defining a boundary condition - real(pReal), dimension(3,3) :: values = 0.0_pReal, & - maskFloat = 0.0_pReal - logical, dimension(3,3) :: maskLogical = .false. - character(len=pStringLen) :: myType = 'None' + real(pReal), dimension(3,3) :: values = 0.0_pReal + logical, dimension(3,3) :: mask = .false. + character(len=:), allocatable :: myType end type tBoundaryCondition type, public :: tLoadCase type(rotation) :: rot !< rotation of BC type(tBoundaryCondition) :: stress, & !< stress BC - deformation !< deformation BC (Fdot or L) - real(pReal) :: time = 0.0_pReal !< length of increment - integer :: incs = 0, & !< number of increments - outputfrequency = 1, & !< frequency of result writes - restartfrequency = huge(0), & !< frequency of restart writes - logscale = 0 !< linear/logarithmic time inc flag - logical :: followFormerTrajectory = .true. !< follow trajectory of former loadcase + deformation !< deformation BC (dot_F, F, or L) + real(pReal) :: time !< length of increment + integer :: incs, & !< number of increments + outputfrequency, & !< frequency of result writes + restartfrequency !< frequency of restart writes + logical :: followFormerTrajectory, & !< follow trajectory of former loadcase + logscale !< logarithmic time inc flag integer(kind(FIELD_UNDEFINED_ID)), allocatable :: ID(:) end type tLoadCase - type, public :: tSolutionParams !< @todo use here the type definition for a full loadcase - real(pReal), dimension(3,3) :: stress_mask, stress_BC + type, public :: tSolutionParams + real(pReal), dimension(3,3) :: stress_BC + logical, dimension(3,3) :: stress_mask type(rotation) :: rotation_BC - real(pReal) :: timeinc - real(pReal) :: timeincOld + real(pReal) :: timeinc, timeincOld end type tSolutionParams - type, private :: tNumerics - real(pReal) :: & - FFTW_timelimit !< timelimit for FFTW plan creation, see www.fftw.org + type :: tNumerics integer :: & divergence_correction !< scale divergence/curl calculation: [0: no correction, 1: size scaled to 1, 2: size scaled to Npoints] logical :: & memory_efficient !< calculate gamma operator on the fly - character(len=pStringLen) :: & - spectral_derivative, & !< approximation used for derivatives in Fourier space - FFTW_plan_mode, & !< FFTW plan mode, see www.fftw.org - PETSc_options end type tNumerics type(tNumerics) :: num ! numerics parameters. Better name? @@ -135,7 +126,7 @@ module spectral_utilities spectral_derivative_ID public :: & - utilities_init, & + spectral_utilities_init, & utilities_updateGamma, & utilities_FFTtensorForward, & utilities_FFTtensorBackward, & @@ -172,7 +163,7 @@ contains !> level chosen. !> Initializes FFTW. !-------------------------------------------------------------------------------------------------- -subroutine utilities_init +subroutine spectral_utilities_init PetscErrorCode :: ierr integer :: i, j, k, & @@ -188,63 +179,67 @@ subroutine utilities_init scalarSize = 1_C_INTPTR_T, & vecSize = 3_C_INTPTR_T, & tensorSize = 9_C_INTPTR_T + character(len=*), parameter :: & + PETSCDEBUG = ' -snes_view -snes_monitor ' + class(tNode) , pointer :: & + num_grid, & + debug_grid ! pointer to grid debug options - write(6,'(/,a)') ' <<<+- spectral_utilities init -+>>>' + print'(/,a)', ' <<<+- spectral_utilities init -+>>>' - write(6,'(/,a)') ' Diehl, Diploma Thesis TU München, 2010' - write(6,'(a)') ' https://doi.org/10.13140/2.1.3234.3840' + print*, 'Diehl, Diploma Thesis TU München, 2010' + print*, 'https://doi.org/10.13140/2.1.3234.3840'//IO_EOL - write(6,'(/,a)') ' Eisenlohr et al., International Journal of Plasticity 46:37–53, 2013' - write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2012.09.012' + print*, 'Eisenlohr et al., International Journal of Plasticity 46:37–53, 2013' + print*, 'https://doi.org/10.1016/j.ijplas.2012.09.012'//IO_EOL - write(6,'(/,a)') ' Shanthraj et al., International Journal of Plasticity 66:31–45, 2015' - write(6,'(a)') ' https://doi.org/10.1016/j.ijplas.2014.02.006' + print*, 'Shanthraj et al., International Journal of Plasticity 66:31–45, 2015' + print*, 'https://doi.org/10.1016/j.ijplas.2014.02.006'//IO_EOL - write(6,'(/,a)') ' Shanthraj et al., Handbook of Mechanics of Materials, 2019' - write(6,'(a)') ' https://doi.org/10.1007/978-981-10-6855-3_80' + print*, 'Shanthraj et al., Handbook of Mechanics of Materials, 2019' + print*, 'https://doi.org/10.1007/978-981-10-6855-3_80' !-------------------------------------------------------------------------------------------------- ! set debugging parameters - debugGeneral = iand(debug_level(debug_SPECTRAL),debug_LEVELBASIC) /= 0 - debugRotation = iand(debug_level(debug_SPECTRAL),debug_SPECTRALROTATION) /= 0 - debugPETSc = iand(debug_level(debug_SPECTRAL),debug_SPECTRALPETSC) /= 0 + debug_grid => config_debug%get('grid',defaultVal=emptyList) + debugGeneral = debug_grid%contains('basic') + debugRotation = debug_grid%contains('rotation') + debugPETSc = debug_grid%contains('petsc') - if(debugPETSc) write(6,'(3(/,a),/)') & + + if(debugPETSc) print'(3(/,a),/)', & ' Initializing PETSc with debug options: ', & trim(PETScDebug), & - ' add more using the PETSc_Options keyword in numerics.config '; flush(6) + ' add more using the PETSc_Options keyword in numerics.yaml '; flush(IO_STDOUT) + + num_grid => config_numerics%get('grid',defaultVal=emptyDict) call PETScOptionsClear(PETSC_NULL_OPTIONS,ierr) CHKERRQ(ierr) if(debugPETSc) call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(PETSCDEBUG),ierr) CHKERRQ(ierr) - call PETScOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) + call PETScOptionsInsertString(PETSC_NULL_OPTIONS,& + num_grid%get_asString('petsc_options',defaultVal=''),ierr) CHKERRQ(ierr) grid1Red = grid(1)/2 + 1 wgt = 1.0/real(product(grid),pReal) - write(6,'(/,a,3(i12 ))') ' grid a b c: ', grid - write(6,'(a,3(es12.5))') ' size x y z: ', geomSize - - num%memory_efficient = config_numerics%getInt ('memory_efficient', defaultVal=1) > 0 - num%FFTW_timelimit = config_numerics%getFloat ('fftw_timelimit', defaultVal=-1.0_pReal) - num%divergence_correction = config_numerics%getInt ('divergence_correction', defaultVal=2) - num%spectral_derivative = config_numerics%getString('spectral_derivative', defaultVal='continuous') - num%FFTW_plan_mode = config_numerics%getString('fftw_plan_mode', defaultVal='FFTW_MEASURE') + num%memory_efficient = num_grid%get_asInt('memory_efficient', defaultVal=1) > 0 ! ToDo: should be logical in YAML file + num%divergence_correction = num_grid%get_asInt('divergence_correction', defaultVal=2) if (num%divergence_correction < 0 .or. num%divergence_correction > 2) & call IO_error(301,ext_msg='divergence_correction') - select case (num%spectral_derivative) + select case (num_grid%get_asString('derivative',defaultVal='continuous')) case ('continuous') spectral_derivative_ID = DERIVATIVE_CONTINUOUS_ID case ('central_difference') spectral_derivative_ID = DERIVATIVE_CENTRAL_DIFF_ID - case ('fwbw_difference') + case ('FWBW_difference') spectral_derivative_ID = DERIVATIVE_FWBW_DIFF_ID case default - call IO_error(892,ext_msg=trim(num%spectral_derivative)) + call IO_error(892,ext_msg=trim(num_grid%get_asString('derivative'))) end select !-------------------------------------------------------------------------------------------------- @@ -265,8 +260,7 @@ subroutine utilities_init scaledGeomSize = geomSize endif - - select case(IO_lc(num%FFTW_plan_mode)) ! setting parameters for the plan creation of FFTW. Basically a translation from fftw3.f + select case(IO_lc(num_grid%get_asString('fftw_plan_mode',defaultVal='FFTW_MEASURE'))) case('fftw_estimate') ! ordered from slow execution (but fast plan creation) to fast execution FFTW_planner_flag = FFTW_ESTIMATE case('fftw_measure') @@ -276,16 +270,16 @@ subroutine utilities_init case('fftw_exhaustive') FFTW_planner_flag = FFTW_EXHAUSTIVE case default - call IO_warning(warning_ID=47,ext_msg=trim(IO_lc(num%FFTW_plan_mode))) + call IO_warning(warning_ID=47,ext_msg=trim(IO_lc(num_grid%get_asString('fftw_plan_mode')))) FFTW_planner_flag = FFTW_MEASURE end select !-------------------------------------------------------------------------------------------------- ! general initialization of FFTW (see manual on fftw.org for more details) - if (pReal /= C_DOUBLE .or. kind(1) /= C_INT) call IO_error(0,ext_msg='Fortran to C') ! check for correct precision in C - call fftw_set_timelimit(num%FFTW_timelimit) ! set timelimit for plan creation + if (pReal /= C_DOUBLE .or. kind(1) /= C_INT) error stop 'C and Fortran datatypes do not match' + call fftw_set_timelimit(num_grid%get_asFloat('fftw_timelimit',defaultVal=-1.0_pReal)) - if (debugGeneral) write(6,'(/,a)') ' FFTW initialized'; flush(6) + print*, 'FFTW initialized'; flush(IO_STDOUT) !-------------------------------------------------------------------------------------------------- ! MPI allocation @@ -377,7 +371,7 @@ subroutine utilities_init allocate (gamma_hat(3,3,3,3,grid1Red,grid(2),grid3), source = cmplx(0.0_pReal,0.0_pReal,pReal)) endif -end subroutine utilities_init +end subroutine spectral_utilities_init !--------------------------------------------------------------------------------------------------- @@ -511,8 +505,8 @@ subroutine utilities_fourierGammaConvolution(fieldAim) logical :: err - write(6,'(/,a)') ' ... doing gamma convolution ...............................................' - flush(6) + print'(/,a)', ' ... doing gamma convolution ...............................................' + flush(IO_STDOUT) !-------------------------------------------------------------------------------------------------- ! do the actual spectral method calculation (mechanical equilibrium) @@ -581,8 +575,8 @@ real(pReal) function utilities_divergenceRMS() integer :: i, j, k, ierr complex(pReal), dimension(3) :: rescaledGeom - write(6,'(/,a)') ' ... calculating divergence ................................................' - flush(6) + print'(/,a)', ' ... calculating divergence ................................................' + flush(IO_STDOUT) rescaledGeom = cmplx(geomSize/scaledGeomSize,0.0_pReal) @@ -625,8 +619,8 @@ real(pReal) function utilities_curlRMS() complex(pReal), dimension(3,3) :: curl_fourier complex(pReal), dimension(3) :: rescaledGeom - write(6,'(/,a)') ' ... calculating curl ......................................................' - flush(6) + print'(/,a)', ' ... calculating curl ......................................................' + flush(IO_STDOUT) rescaledGeom = cmplx(geomSize/scaledGeomSize,0.0_pReal) @@ -705,10 +699,10 @@ function utilities_maskedCompliance(rot_BC,mask_stress,C) temp99_real = math_3333to99(rot_BC%rotate(C)) if(debugGeneral) then - write(6,'(/,a)') ' ... updating masked compliance ............................................' - write(6,'(/,a,/,9(9(2x,f12.7,1x)/))',advance='no') ' Stiffness C (load) / GPa =',& + print'(/,a)', ' ... updating masked compliance ............................................' + write(IO_STDOUT,'(/,a,/,9(9(2x,f12.7,1x)/))',advance='no') ' Stiffness C (load) / GPa =',& transpose(temp99_Real)*1.0e-9_pReal - flush(6) + flush(IO_STDOUT) endif do i = 1,9; do j = 1,9 @@ -724,13 +718,13 @@ function utilities_maskedCompliance(rot_BC,mask_stress,C) !-------------------------------------------------------------------------------------------------- ! check if inversion was successful sTimesC = matmul(c_reduced,s_reduced) - errmatinv = errmatinv .or. any(dNeq(sTimesC,math_identity2nd(size_reduced),1.0e-12_pReal)) + errmatinv = errmatinv .or. any(dNeq(sTimesC,math_eye(size_reduced),1.0e-12_pReal)) if (debugGeneral .or. errmatinv) then write(formatString, '(i2)') size_reduced formatString = '(/,a,/,'//trim(formatString)//'('//trim(formatString)//'(2x,es9.2,1x)/))' - write(6,trim(formatString),advance='no') ' C * S (load) ', & + write(IO_STDOUT,trim(formatString),advance='no') ' C * S (load) ', & transpose(matmul(c_reduced,s_reduced)) - write(6,trim(formatString),advance='no') ' S (load) ', transpose(s_reduced) + write(IO_STDOUT,trim(formatString),advance='no') ' S (load) ', transpose(s_reduced) if(errmatinv) call IO_error(error_ID=400,ext_msg='utilities_maskedCompliance') endif temp99_real = reshape(unpack(reshape(s_reduced,[size_reduced**2]),reshape(mask,[81]),0.0_pReal),[9,9]) @@ -741,9 +735,9 @@ function utilities_maskedCompliance(rot_BC,mask_stress,C) utilities_maskedCompliance = math_99to3333(temp99_Real) if(debugGeneral) then - write(6,'(/,a,/,9(9(2x,f10.5,1x)/),/)',advance='no') & + write(IO_STDOUT,'(/,a,/,9(9(2x,f10.5,1x)/),/)',advance='no') & ' Masked Compliance (load) * GPa =', transpose(temp99_Real)*1.0e9_pReal - flush(6) + flush(IO_STDOUT) endif end function utilities_maskedCompliance @@ -808,7 +802,7 @@ end subroutine utilities_fourierTensorDivergence !-------------------------------------------------------------------------------------------------- -!> @brief calculate constitutive response from materialpoint_F0 to F during timeinc +!> @brief calculate constitutive response from homogenization_F0 to F during timeinc !-------------------------------------------------------------------------------------------------- subroutine utilities_constitutiveResponse(P,P_av,C_volAvg,C_minmaxAvg,& F,timeinc,rotation_BC) @@ -827,37 +821,37 @@ subroutine utilities_constitutiveResponse(P,P_av,C_volAvg,C_minmaxAvg,& real(pReal) :: dPdF_norm_max, dPdF_norm_min real(pReal), dimension(2) :: valueAndRank !< pair of min/max norm of dPdF to synchronize min/max of dPdF - write(6,'(/,a)') ' ... evaluating constitutive response ......................................' - flush(6) + print'(/,a)', ' ... evaluating constitutive response ......................................' + flush(IO_STDOUT) - materialpoint_F = reshape(F,[3,3,1,product(grid(1:2))*grid3]) ! set materialpoint target F to estimated field + homogenization_F = reshape(F,[3,3,1,product(grid(1:2))*grid3]) ! set materialpoint target F to estimated field - call materialpoint_stressAndItsTangent(.true.,timeinc) ! calculate P field + call materialpoint_stressAndItsTangent(timeinc) ! calculate P field - P = reshape(materialpoint_P, [3,3,grid(1),grid(2),grid3]) + P = reshape(homogenization_P, [3,3,grid(1),grid(2),grid3]) P_av = sum(sum(sum(P,dim=5),dim=4),dim=3) * wgt ! average of P call MPI_Allreduce(MPI_IN_PLACE,P_av,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) if (debugRotation) & - write(6,'(/,a,/,3(3(2x,f12.4,1x)/))',advance='no') ' Piola--Kirchhoff stress (lab) / MPa =',& + write(IO_STDOUT,'(/,a,/,3(3(2x,f12.4,1x)/))',advance='no') ' Piola--Kirchhoff stress (lab) / MPa =',& transpose(P_av)*1.e-6_pReal if(present(rotation_BC)) & P_av = rotation_BC%rotate(P_av) - write(6,'(/,a,/,3(3(2x,f12.4,1x)/))',advance='no') ' Piola--Kirchhoff stress / MPa =',& + write(IO_STDOUT,'(/,a,/,3(3(2x,f12.4,1x)/))',advance='no') ' Piola--Kirchhoff stress / MPa =',& transpose(P_av)*1.e-6_pReal - flush(6) + flush(IO_STDOUT) dPdF_max = 0.0_pReal dPdF_norm_max = 0.0_pReal dPdF_min = huge(1.0_pReal) dPdF_norm_min = huge(1.0_pReal) do i = 1, product(grid(1:2))*grid3 - if (dPdF_norm_max < sum(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal)) then - dPdF_max = materialpoint_dPdF(1:3,1:3,1:3,1:3,1,i) - dPdF_norm_max = sum(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal) + if (dPdF_norm_max < sum(homogenization_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal)) then + dPdF_max = homogenization_dPdF(1:3,1:3,1:3,1:3,1,i) + dPdF_norm_max = sum(homogenization_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal) endif - if (dPdF_norm_min > sum(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal)) then - dPdF_min = materialpoint_dPdF(1:3,1:3,1:3,1:3,1,i) - dPdF_norm_min = sum(materialpoint_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal) + if (dPdF_norm_min > sum(homogenization_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal)) then + dPdF_min = homogenization_dPdF(1:3,1:3,1:3,1:3,1,i) + dPdF_norm_min = sum(homogenization_dPdF(1:3,1:3,1:3,1:3,1,i)**2.0_pReal) endif end do @@ -875,7 +869,7 @@ subroutine utilities_constitutiveResponse(P,P_av,C_volAvg,C_minmaxAvg,& C_minmaxAvg = 0.5_pReal*(dPdF_max + dPdF_min) - C_volAvg = sum(sum(materialpoint_dPdF,dim=6),dim=5) + C_volAvg = sum(sum(homogenization_dPdF,dim=6),dim=5) call MPI_Allreduce(MPI_IN_PLACE,C_volAvg,81,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) C_volAvg = C_volAvg * wgt @@ -1097,11 +1091,13 @@ end subroutine utilities_updateCoords subroutine utilities_saveReferenceStiffness integer :: & - fileUnit + fileUnit,ierr if (worldrank == 0) then - write(6,'(a)') ' writing reference stiffness data required for restart to file'; flush(6) - fileUnit = IO_open_binary(trim(getSolverJobName())//'.C_ref','w') + print'(a)', ' writing reference stiffness data required for restart to file'; flush(IO_STDOUT) + open(newunit=fileUnit, file=getSolverJobName()//'.C_ref',& + status='replace',access='stream',action='write',iostat=ierr) + if(ierr /=0) call IO_error(100,ext_msg='could not open file '//getSolverJobName()//'.C_ref') write(fileUnit) C_ref close(fileUnit) endif diff --git a/src/homogenization.f90 b/src/homogenization.f90 index 62150899e..02f1d3bf0 100644 --- a/src/homogenization.f90 +++ b/src/homogenization.f90 @@ -8,10 +8,8 @@ module homogenization use prec use IO use config - use debug use math use material - use numerics use constitutive use crystallite use FEsolving @@ -33,12 +31,12 @@ module homogenization !-------------------------------------------------------------------------------------------------- ! General variables for the homogenization at a material point real(pReal), dimension(:,:,:,:), allocatable, public :: & - materialpoint_F0, & !< def grad of IP at start of FE increment - materialpoint_F !< def grad of IP to be reached at end of FE increment + homogenization_F0, & !< def grad of IP at start of FE increment + homogenization_F !< def grad of IP to be reached at end of FE increment real(pReal), dimension(:,:,:,:), allocatable, public, protected :: & - materialpoint_P !< first P--K stress of IP + homogenization_P !< first P--K stress of IP real(pReal), dimension(:,:,:,:,:,:), allocatable, public, protected :: & - materialpoint_dPdF !< tangent of first P--K stress at IP + homogenization_dPdF !< tangent of first P--K stress at IP type :: tNumerics integer :: & @@ -51,6 +49,19 @@ module homogenization type(tNumerics) :: num + type :: tDebugOptions + logical :: & + basic, & + extensive, & + selective + integer :: & + element, & + ip, & + grain + end type tDebugOptions + + type(tDebugOptions) :: debugHomog + interface module subroutine mech_none_init @@ -59,7 +70,9 @@ module homogenization module subroutine mech_isostrain_init end subroutine mech_isostrain_init - module subroutine mech_RGC_init + module subroutine mech_RGC_init(num_homogMech) + class(tNode), pointer, intent(in) :: & + num_homogMech !< pointer to mechanical homogenization numerics data end subroutine mech_RGC_init @@ -95,19 +108,18 @@ module homogenization integer, intent(in) :: instance end subroutine mech_RGC_averageStressAndItsTangent - module function mech_RGC_updateState(P,F,F0,avgF,dt,dPdF,ip,el) logical, dimension(2) :: mech_RGC_updateState real(pReal), dimension(:,:,:), intent(in) :: & P,& !< partitioned stresses F,& !< partitioned deformation gradients F0 !< partitioned initial deformation gradients - real(pReal), dimension(:,:,:,:,:), intent(in) :: dPdF !< partitioned stiffnesses - real(pReal), dimension(3,3), intent(in) :: avgF !< average F - real(pReal), intent(in) :: dt !< time increment - integer, intent(in) :: & - ip, & !< integration point number - el !< element number + real(pReal), dimension(:,:,:,:,:), intent(in) :: dPdF !< partitioned stiffnesses + real(pReal), dimension(3,3), intent(in) :: avgF !< average F + real(pReal), intent(in) :: dt !< time increment + integer, intent(in) :: & + ip, & !< integration point number + el !< element number end function mech_RGC_updateState @@ -131,9 +143,32 @@ contains !-------------------------------------------------------------------------------------------------- subroutine homogenization_init + class (tNode) , pointer :: & + num_homog, & + num_homogMech, & + num_homogGeneric, & + debug_homogenization + + debug_homogenization => config_debug%get('homogenization', defaultVal=emptyList) + debugHomog%basic = debug_homogenization%contains('basic') + debugHomog%extensive = debug_homogenization%contains('extensive') + debugHomog%selective = debug_homogenization%contains('selective') + debugHomog%element = config_debug%get_asInt('element',defaultVal = 1) + debugHomog%ip = config_debug%get_asInt('integrationpoint',defaultVal = 1) + debugHomog%grain = config_debug%get_asInt('grain',defaultVal = 1) + + if (debugHomog%grain < 1 & + .or. debugHomog%grain > homogenization_Nconstituents(material_homogenizationAt(debugHomog%element))) & + call IO_error(602,ext_msg='constituent', el=debugHomog%element, g=debugHomog%grain) + + + num_homog => config_numerics%get('homogenization',defaultVal=emptyDict) + num_homogMech => num_homog%get('mech',defaultVal=emptyDict) + num_homogGeneric => num_homog%get('generic',defaultVal=emptyDict) + if (any(homogenization_type == HOMOGENIZATION_NONE_ID)) call mech_none_init if (any(homogenization_type == HOMOGENIZATION_ISOSTRAIN_ID)) call mech_isostrain_init - if (any(homogenization_type == HOMOGENIZATION_RGC_ID)) call mech_RGC_init + if (any(homogenization_type == HOMOGENIZATION_RGC_ID)) call mech_RGC_init(num_homogMech) if (any(thermal_type == THERMAL_isothermal_ID)) call thermal_isothermal_init if (any(thermal_type == THERMAL_adiabatic_ID)) call thermal_adiabatic_init @@ -143,24 +178,21 @@ subroutine homogenization_init if (any(damage_type == DAMAGE_local_ID)) call damage_local_init if (any(damage_type == DAMAGE_nonlocal_ID)) call damage_nonlocal_init - call config_deallocate('material.config/homogenization') !-------------------------------------------------------------------------------------------------- ! allocate and initialize global variables - allocate(materialpoint_dPdF(3,3,3,3,discretization_nIP,discretization_nElem), source=0.0_pReal) - materialpoint_F0 = spread(spread(math_I3,3,discretization_nIP),4,discretization_nElem) ! initialize to identity - materialpoint_F = materialpoint_F0 ! initialize to identity - allocate(materialpoint_P(3,3,discretization_nIP,discretization_nElem), source=0.0_pReal) + allocate(homogenization_dPdF(3,3,3,3,discretization_nIPs,discretization_Nelems), source=0.0_pReal) + homogenization_F0 = spread(spread(math_I3,3,discretization_nIPs),4,discretization_Nelems) ! initialize to identity + homogenization_F = homogenization_F0 ! initialize to identity + allocate(homogenization_P(3,3,discretization_nIPs,discretization_Nelems), source=0.0_pReal) - write(6,'(/,a)') ' <<<+- homogenization init -+>>>'; flush(6) + print'(/,a)', ' <<<+- homogenization init -+>>>'; flush(IO_STDOUT) - if (debug_g < 1 .or. debug_g > homogenization_Ngrains(material_homogenizationAt(debug_e))) & - call IO_error(602,ext_msg='constituent', el=debug_e, g=debug_g) + num%nMPstate = num_homogGeneric%get_asInt ('nMPstate', defaultVal=10) + num%subStepMinHomog = num_homogGeneric%get_asFloat('subStepMin', defaultVal=1.0e-3_pReal) + num%subStepSizeHomog = num_homogGeneric%get_asFloat('subStepSize', defaultVal=0.25_pReal) + num%stepIncreaseHomog = num_homogGeneric%get_asFloat('stepIncrease', defaultVal=1.5_pReal) - num%nMPstate = config_numerics%getInt( 'nmpstate', defaultVal=10) - num%subStepMinHomog = config_numerics%getFloat('substepminhomog', defaultVal=1.0e-3_pReal) - num%subStepSizeHomog = config_numerics%getFloat('substepsizehomog', defaultVal=0.25_pReal) - num%stepIncreaseHomog = config_numerics%getFloat('stepincreasehomog', defaultVal=1.5_pReal) if (num%nMPstate < 1) call IO_error(301,ext_msg='nMPstate') if (num%subStepMinHomog <= 0.0_pReal) call IO_error(301,ext_msg='subStepMinHomog') if (num%subStepSizeHomog <= 0.0_pReal) call IO_error(301,ext_msg='subStepSizeHomog') @@ -172,60 +204,31 @@ end subroutine homogenization_init !-------------------------------------------------------------------------------------------------- !> @brief parallelized calculation of stress and corresponding tangent at material points !-------------------------------------------------------------------------------------------------- -subroutine materialpoint_stressAndItsTangent(updateJaco,dt) +subroutine materialpoint_stressAndItsTangent(dt) real(pReal), intent(in) :: dt !< time increment - logical, intent(in) :: updateJaco !< initiating Jacobian update integer :: & NiterationHomog, & NiterationMPstate, & - g, & !< grain number i, & !< integration point number e, & !< element number - mySource, & myNgrains - real(pReal), dimension(discretization_nIP,discretization_nElem) :: & + real(pReal), dimension(discretization_nIPs,discretization_Nelems) :: & subFrac, & subStep - logical, dimension(discretization_nIP,discretization_nElem) :: & + logical, dimension(discretization_nIPs,discretization_Nelems) :: & requested, & converged - logical, dimension(2,discretization_nIP,discretization_nElem) :: & + logical, dimension(2,discretization_nIPs,discretization_Nelems) :: & doneAndHappy -#ifdef DEBUG - if (iand(debug_level(debug_homogenization), debug_levelBasic) /= 0) then - write(6,'(/a,i5,1x,i2)') '<< HOMOG >> Material Point start at el ip ', debug_e, debug_i - - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< HOMOG >> F0', & - transpose(materialpoint_F0(1:3,1:3,debug_i,debug_e)) - write(6,'(a,/,3(12x,3(f14.9,1x)/))') '<< HOMOG >> F', & - transpose(materialpoint_F(1:3,1:3,debug_i,debug_e)) - endif -#endif !-------------------------------------------------------------------------------------------------- ! initialize restoration points do e = FEsolving_execElem(1),FEsolving_execElem(2) - myNgrains = homogenization_Ngrains(material_homogenizationAt(e)) do i = FEsolving_execIP(1),FEsolving_execIP(2); - do g = 1,myNgrains - plasticState (material_phaseAt(g,e))%partionedState0(:,material_phasememberAt(g,i,e)) = & - plasticState (material_phaseAt(g,e))%state0( :,material_phasememberAt(g,i,e)) - do mySource = 1, phase_Nsources(material_phaseAt(g,e)) - sourceState(material_phaseAt(g,e))%p(mySource)%partionedState0(:,material_phasememberAt(g,i,e)) = & - sourceState(material_phaseAt(g,e))%p(mySource)%state0( :,material_phasememberAt(g,i,e)) - enddo - - crystallite_partionedFp0(1:3,1:3,g,i,e) = crystallite_Fp0(1:3,1:3,g,i,e) - crystallite_partionedLp0(1:3,1:3,g,i,e) = crystallite_Lp0(1:3,1:3,g,i,e) - crystallite_partionedFi0(1:3,1:3,g,i,e) = crystallite_Fi0(1:3,1:3,g,i,e) - crystallite_partionedLi0(1:3,1:3,g,i,e) = crystallite_Li0(1:3,1:3,g,i,e) - crystallite_partionedF0(1:3,1:3,g,i,e) = crystallite_F0(1:3,1:3,g,i,e) - crystallite_partionedS0(1:3,1:3,g,i,e) = crystallite_S0(1:3,1:3,g,i,e) - - enddo + call crystallite_initializeRestorationPoints(i,e) subFrac(i,e) = 0.0_pReal converged(i,e) = .false. ! pretend failed step ... @@ -249,47 +252,22 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) NiterationHomog = 0 cutBackLooping: do while (.not. terminallyIll .and. & - any(subStep(:,FEsolving_execELem(1):FEsolving_execElem(2)) > num%subStepMinHomog)) + any(subStep(FEsolving_execIP(1):FEsolving_execIP(2),& + FEsolving_execElem(1):FEsolving_execElem(2)) > num%subStepMinHomog)) - !$OMP PARALLEL DO PRIVATE(myNgrains) + !$OMP PARALLEL DO elementLooping1: do e = FEsolving_execElem(1),FEsolving_execElem(2) - myNgrains = homogenization_Ngrains(material_homogenizationAt(e)) + myNgrains = homogenization_Nconstituents(material_homogenizationAt(e)) IpLooping1: do i = FEsolving_execIP(1),FEsolving_execIP(2) if (converged(i,e)) then -#ifdef DEBUG - if (iand(debug_level(debug_homogenization), debug_levelExtensive) /= 0 & - .and. ((e == debug_e .and. i == debug_i) & - .or. .not. iand(debug_level(debug_homogenization),debug_levelSelective) /= 0)) then - write(6,'(a,1x,f12.8,1x,a,1x,f12.8,1x,a,i8,1x,i2/)') '<< HOMOG >> winding forward from', & - subFrac(i,e), 'to current subFrac', & - subFrac(i,e)+subStep(i,e),'in materialpoint_stressAndItsTangent at el ip',e,i - endif -#endif - -!--------------------------------------------------------------------------------------------------- -! calculate new subStep and new subFrac subFrac(i,e) = subFrac(i,e) + subStep(i,e) subStep(i,e) = min(1.0_pReal-subFrac(i,e),num%stepIncreaseHomog*subStep(i,e)) ! introduce flexibility for step increase/acceleration steppingNeeded: if (subStep(i,e) > num%subStepMinHomog) then ! wind forward grain starting point - crystallite_partionedF0 (1:3,1:3,1:myNgrains,i,e) = crystallite_partionedF(1:3,1:3,1:myNgrains,i,e) - crystallite_partionedFp0(1:3,1:3,1:myNgrains,i,e) = crystallite_Fp (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedLp0(1:3,1:3,1:myNgrains,i,e) = crystallite_Lp (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedFi0(1:3,1:3,1:myNgrains,i,e) = crystallite_Fi (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedLi0(1:3,1:3,1:myNgrains,i,e) = crystallite_Li (1:3,1:3,1:myNgrains,i,e) - crystallite_partionedS0 (1:3,1:3,1:myNgrains,i,e) = crystallite_S (1:3,1:3,1:myNgrains,i,e) - - do g = 1,myNgrains - plasticState (material_phaseAt(g,e))%partionedState0(:,material_phasememberAt(g,i,e)) = & - plasticState (material_phaseAt(g,e))%state (:,material_phasememberAt(g,i,e)) - do mySource = 1, phase_Nsources(material_phaseAt(g,e)) - sourceState(material_phaseAt(g,e))%p(mySource)%partionedState0(:,material_phasememberAt(g,i,e)) = & - sourceState(material_phaseAt(g,e))%p(mySource)%state (:,material_phasememberAt(g,i,e)) - enddo - enddo + call crystallite_windForward(i,e) if(homogState(material_homogenizationAt(e))%sizeState > 0) & homogState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) = & @@ -308,41 +286,14 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) num%subStepSizeHomog * subStep(i,e) <= num%subStepMinHomog ) then ! would require too small subStep ! cutback makes no sense if (.not. terminallyIll) then ! so first signals terminally ill... - !$OMP CRITICAL (write2out) - write(6,*) 'Integration point ', i,' at element ', e, ' terminally ill' - !$OMP END CRITICAL (write2out) + print*, ' Integration point ', i,' at element ', e, ' terminally ill' endif terminallyIll = .true. ! ...and kills all others else ! cutback makes sense subStep(i,e) = num%subStepSizeHomog * subStep(i,e) ! crystallite had severe trouble, so do a significant cutback -#ifdef DEBUG - if (iand(debug_level(debug_homogenization), debug_levelExtensive) /= 0 & - .and. ((e == debug_e .and. i == debug_i) & - .or. .not. iand(debug_level(debug_homogenization), debug_levelSelective) /= 0)) then - write(6,'(a,1x,f12.8,a,i8,1x,i2/)') & - '<< HOMOG >> cutback step in materialpoint_stressAndItsTangent with new subStep:',& - subStep(i,e),' at el ip',e,i - endif -#endif + call crystallite_restore(i,e,subStep(i,e) < 1.0_pReal) -!-------------------------------------------------------------------------------------------------- -! restore - if (subStep(i,e) < 1.0_pReal) then ! protect against fake cutback from \Delta t = 2 to 1. Maybe that "trick" is not necessary anymore at all? I.e. start with \Delta t = 1 - crystallite_Lp(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedLp0(1:3,1:3,1:myNgrains,i,e) - crystallite_Li(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedLi0(1:3,1:3,1:myNgrains,i,e) - endif ! maybe protecting everything from overwriting (not only L) makes even more sense - crystallite_Fp(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedFp0(1:3,1:3,1:myNgrains,i,e) - crystallite_Fi(1:3,1:3,1:myNgrains,i,e) = crystallite_partionedFi0(1:3,1:3,1:myNgrains,i,e) - crystallite_S (1:3,1:3,1:myNgrains,i,e) = crystallite_partionedS0 (1:3,1:3,1:myNgrains,i,e) - do g = 1, myNgrains - plasticState (material_phaseAt(g,e))%state( :,material_phasememberAt(g,i,e)) = & - plasticState (material_phaseAt(g,e))%partionedState0(:,material_phasememberAt(g,i,e)) - do mySource = 1, phase_Nsources(material_phaseAt(g,e)) - sourceState(material_phaseAt(g,e))%p(mySource)%state( :,material_phasememberAt(g,i,e)) = & - sourceState(material_phaseAt(g,e))%p(mySource)%partionedState0(:,material_phasememberAt(g,i,e)) - enddo - enddo if(homogState(material_homogenizationAt(e))%sizeState > 0) & homogState(material_homogenizationAt(e))%State( :,material_homogenizationMemberAt(i,e)) = & homogState(material_homogenizationAt(e))%subState0(:,material_homogenizationMemberAt(i,e)) @@ -376,11 +327,11 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) ! deformation partitioning !$OMP PARALLEL DO PRIVATE(myNgrains) elementLooping2: do e = FEsolving_execElem(1),FEsolving_execElem(2) - myNgrains = homogenization_Ngrains(material_homogenizationAt(e)) + myNgrains = homogenization_Nconstituents(material_homogenizationAt(e)) IpLooping2: do i = FEsolving_execIP(1),FEsolving_execIP(2) if(requested(i,e) .and. .not. doneAndHappy(1,i,e)) then ! requested but not yet done - call partitionDeformation(materialpoint_F0(1:3,1:3,i,e) & - + (materialpoint_F(1:3,1:3,i,e)-materialpoint_F0(1:3,1:3,i,e))& + call partitionDeformation(homogenization_F0(1:3,1:3,i,e) & + + (homogenization_F(1:3,1:3,i,e)-homogenization_F0(1:3,1:3,i,e))& *(subStep(i,e)+subFrac(i,e)), & i,e) crystallite_dt(1:myNgrains,i,e) = dt*subStep(i,e) ! propagate materialpoint dt to grains @@ -406,8 +357,8 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) doneAndHappy(1:2,i,e) = [.true.,.false.] else doneAndHappy(1:2,i,e) = updateState(dt*subStep(i,e), & - materialpoint_F0(1:3,1:3,i,e) & - + (materialpoint_F(1:3,1:3,i,e)-materialpoint_F0(1:3,1:3,i,e)) & + homogenization_F0(1:3,1:3,i,e) & + + (homogenization_F(1:3,1:3,i,e)-homogenization_F0(1:3,1:3,i,e)) & *(subStep(i,e)+subFrac(i,e)), & i,e) converged(i,e) = all(doneAndHappy(1:2,i,e)) ! converged if done and happy @@ -423,8 +374,6 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) enddo cutBackLooping - if(updateJaco) call crystallite_stressTangent - if (.not. terminallyIll ) then call crystallite_orientations() ! calculate crystal orientations !$OMP PARALLEL DO @@ -435,7 +384,7 @@ subroutine materialpoint_stressAndItsTangent(updateJaco,dt) enddo elementLooping4 !$OMP END PARALLEL DO else - write(6,'(/,a,/)') '<< HOMOG >> Material Point terminally ill' + print'(/,a,/)', ' << HOMOG >> Material Point terminally ill' endif end subroutine materialpoint_stressAndItsTangent @@ -455,16 +404,16 @@ subroutine partitionDeformation(subF,ip,el) chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el))) case (HOMOGENIZATION_NONE_ID) chosenHomogenization - crystallite_partionedF(1:3,1:3,1,ip,el) = subF + crystallite_partitionedF(1:3,1:3,1,ip,el) = subF case (HOMOGENIZATION_ISOSTRAIN_ID) chosenHomogenization call mech_isostrain_partitionDeformation(& - crystallite_partionedF(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + crystallite_partitionedF(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), & subF) case (HOMOGENIZATION_RGC_ID) chosenHomogenization call mech_RGC_partitionDeformation(& - crystallite_partionedF(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + crystallite_partitionedF(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), & subF,& ip, & el) @@ -486,19 +435,24 @@ function updateState(subdt,subF,ip,el) integer, intent(in) :: & ip, & !< integration point el !< element number + integer :: c logical, dimension(2) :: updateState + real(pReal) :: dPdFs(3,3,3,3,homogenization_Nconstituents(material_homogenizationAt(el))) updateState = .true. chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el))) case (HOMOGENIZATION_RGC_ID) chosenHomogenization + do c=1,homogenization_Nconstituents(material_homogenizationAt(el)) + dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el) + enddo updateState = & updateState .and. & - mech_RGC_updateState(crystallite_P(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & - crystallite_partionedF(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & - crystallite_partionedF0(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el),& + mech_RGC_updateState(crystallite_P(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), & + crystallite_partitionedF(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), & + crystallite_partitionedF0(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el),& subF,& subdt, & - crystallite_dPdF(1:3,1:3,1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + dPdFs, & ip, & el) end select chosenHomogenization @@ -532,26 +486,35 @@ subroutine averageStressAndItsTangent(ip,el) integer, intent(in) :: & ip, & !< integration point el !< element number - + integer :: c + real(pReal) :: dPdFs(3,3,3,3,homogenization_Nconstituents(material_homogenizationAt(el))) + + chosenHomogenization: select case(homogenization_type(material_homogenizationAt(el))) case (HOMOGENIZATION_NONE_ID) chosenHomogenization - materialpoint_P(1:3,1:3,ip,el) = crystallite_P(1:3,1:3,1,ip,el) - materialpoint_dPdF(1:3,1:3,1:3,1:3,ip,el) = crystallite_dPdF(1:3,1:3,1:3,1:3,1,ip,el) + homogenization_P(1:3,1:3,ip,el) = crystallite_P(1:3,1:3,1,ip,el) + homogenization_dPdF(1:3,1:3,1:3,1:3,ip,el) = crystallite_stressTangent(1,ip,el) case (HOMOGENIZATION_ISOSTRAIN_ID) chosenHomogenization + do c = 1, homogenization_Nconstituents(material_homogenizationAt(el)) + dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el) + enddo call mech_isostrain_averageStressAndItsTangent(& - materialpoint_P(1:3,1:3,ip,el), & - materialpoint_dPdF(1:3,1:3,1:3,1:3,ip,el),& - crystallite_P(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & - crystallite_dPdF(1:3,1:3,1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + homogenization_P(1:3,1:3,ip,el), & + homogenization_dPdF(1:3,1:3,1:3,1:3,ip,el),& + crystallite_P(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), & + dPdFs, & homogenization_typeInstance(material_homogenizationAt(el))) case (HOMOGENIZATION_RGC_ID) chosenHomogenization + do c = 1, homogenization_Nconstituents(material_homogenizationAt(el)) + dPdFs(:,:,:,:,c) = crystallite_stressTangent(c,ip,el) + enddo call mech_RGC_averageStressAndItsTangent(& - materialpoint_P(1:3,1:3,ip,el), & - materialpoint_dPdF(1:3,1:3,1:3,1:3,ip,el),& - crystallite_P(1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & - crystallite_dPdF(1:3,1:3,1:3,1:3,1:homogenization_Ngrains(material_homogenizationAt(el)),ip,el), & + homogenization_P(1:3,1:3,ip,el), & + homogenization_dPdF(1:3,1:3,1:3,1:3,ip,el),& + crystallite_P(1:3,1:3,1:homogenization_Nconstituents(material_homogenizationAt(el)),ip,el), & + dPdFs, & homogenization_typeInstance(material_homogenizationAt(el))) end select chosenHomogenization @@ -570,18 +533,18 @@ subroutine homogenization_results !real(pReal), dimension(:,:,:), allocatable :: temp - do p=1,size(config_name_homogenization) - group_base = 'current/materialpoint/'//trim(config_name_homogenization(p)) + do p=1,size(material_name_homogenization) + group_base = 'current/materialpoint/'//trim(material_name_homogenization(p)) call results_closeGroup(results_addGroup(group_base)) group = trim(group_base)//'/generic' call results_closeGroup(results_addGroup(group)) - !temp = reshape(materialpoint_F,[3,3,discretization_nIP*discretization_nElem]) + !temp = reshape(homogenization_F,[3,3,discretization_nIPs*discretization_Nelems]) !call results_writeDataset(group,temp,'F',& ! 'deformation gradient','1') - !temp = reshape(materialpoint_P,[3,3,discretization_nIP*discretization_nElem]) + !temp = reshape(homogenization_P,[3,3,discretization_nIPs*discretization_Nelems]) !call results_writeDataset(group,temp,'P',& - ! '1st Piola-Kirchoff stress','Pa') + ! '1st Piola-Kirchhoff stress','Pa') group = trim(group_base)//'/mech' call results_closeGroup(results_addGroup(group)) diff --git a/src/homogenization_mech_RGC.f90 b/src/homogenization_mech_RGC.f90 index e10a0fef9..5fcea1f8d 100644 --- a/src/homogenization_mech_RGC.f90 +++ b/src/homogenization_mech_RGC.f90 @@ -4,20 +4,20 @@ !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @brief Relaxed grain cluster (RGC) homogenization scheme -!> Nconstituents is defined as p x q x r (cluster) +!> N_constituents is defined as p x q x r (cluster) !-------------------------------------------------------------------------------------------------- submodule(homogenization) homogenization_mech_RGC use rotations type :: tParameters integer, dimension(:), allocatable :: & - Nconstituents + N_constituents real(pReal) :: & - xiAlpha, & - ciAlpha + xi_alpha, & + c_Alpha real(pReal), dimension(:), allocatable :: & - dAlpha, & - angles + D_alpha, & + a_g integer :: & of_debug = 0 character(len=pStringLen), allocatable, dimension(:) :: & @@ -45,19 +45,19 @@ submodule(homogenization) homogenization_mech_RGC type :: tNumerics_RGC real(pReal) :: & - atol, & !< absolute tolerance of RGC residuum - rtol, & !< relative tolerance of RGC residuum - absMax, & !< absolute maximum of RGC residuum - relMax, & !< relative maximum of RGC residuum - pPert, & !< perturbation for computing RGC penalty tangent - xSmoo, & !< RGC penalty smoothing parameter (hyperbolic tangent) - viscPower, & !< power (sensitivity rate) of numerical viscosity in RGC scheme, Default 1.0e0: Newton viscosity (linear model) - viscModus, & !< stress modulus of RGC numerical viscosity, Default 0.0e0: No viscosity is applied - refRelaxRate, & !< reference relaxation rate in RGC viscosity - maxdRelax, & !< threshold of maximum relaxation vector increment (if exceed this then cutback) - maxVolDiscr, & !< threshold of maximum volume discrepancy allowed - volDiscrMod, & !< stiffness of RGC volume discrepancy (zero = without volume discrepancy constraint) - volDiscrPow !< powerlaw penalty for volume discrepancy + atol, & !< absolute tolerance of RGC residuum + rtol, & !< relative tolerance of RGC residuum + absMax, & !< absolute maximum of RGC residuum + relMax, & !< relative maximum of RGC residuum + pPert, & !< perturbation for computing RGC penalty tangent + xSmoo, & !< RGC penalty smoothing parameter (hyperbolic tangent) + viscPower, & !< power (sensitivity rate) of numerical viscosity in RGC scheme, Default 1.0e0: Newton viscosity (linear model) + viscModus, & !< stress modulus of RGC numerical viscosity, Default 0.0e0: No viscosity is applied + refRelaxRate, & !< reference relaxation rate in RGC viscosity + maxdRelax, & !< threshold of maximum relaxation vector increment (if exceed this then cutback) + maxVolDiscr, & !< threshold of maximum volume discrepancy allowed + volDiscrMod, & !< stiffness of RGC volume discrepancy (zero = without volume discrepancy constraint) + volDiscrPow !< powerlaw penalty for volume discrepancy end type tNumerics_RGC type(tparameters), dimension(:), allocatable :: & @@ -75,44 +75,56 @@ contains !-------------------------------------------------------------------------------------------------- !> @brief allocates all necessary fields, reads information from material configuration file !-------------------------------------------------------------------------------------------------- -module subroutine mech_RGC_init +module subroutine mech_RGC_init(num_homogMech) + + class(tNode), pointer, intent(in) :: & + num_homogMech !< pointer to mechanical homogenization numerics data integer :: & - Ninstance, & + Ninstances, & h, & - NofMyHomog, & + Nmaterialpoints, & sizeState, nIntFaceTot - write(6,'(/,a)') ' <<<+- homogenization_'//HOMOGENIZATION_RGC_label//' init -+>>>'; flush(6) + class (tNode), pointer :: & + num_RGC, & ! pointer to RGC numerics data + material_homogenization, & + homog, & + homogMech - write(6,'(/,a)') ' Tjahjanto et al., International Journal of Material Forming 2(1):939–942, 2009' - write(6,'(a)') ' https://doi.org/10.1007/s12289-009-0619-1' + print'(/,a)', ' <<<+- homogenization_mech_rgc init -+>>>' - write(6,'(/,a)') ' Tjahjanto et al., Modelling and Simulation in Materials Science and Engineering 18:015006, 2010' - write(6,'(a)') ' https://doi.org/10.1088/0965-0393/18/1/015006' + Ninstances = count(homogenization_type == HOMOGENIZATION_RGC_ID) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) - Ninstance = count(homogenization_type == HOMOGENIZATION_RGC_ID) - if (iand(debug_level(debug_HOMOGENIZATION),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + print*, 'Tjahjanto et al., International Journal of Material Forming 2(1):939–942, 2009' + print*, 'https://doi.org/10.1007/s12289-009-0619-1'//IO_EOL - allocate(param(Ninstance)) - allocate(state(Ninstance)) - allocate(state0(Ninstance)) - allocate(dependentState(Ninstance)) + print*, 'Tjahjanto et al., Modelling and Simulation in Materials Science and Engineering 18:015006, 2010' + print*, 'https://doi.org/10.1088/0965-0393/18/1/015006'//IO_EOL - num%atol = config_numerics%getFloat('atol_rgc', defaultVal=1.0e+4_pReal) - num%rtol = config_numerics%getFloat('rtol_rgc', defaultVal=1.0e-3_pReal) - num%absMax = config_numerics%getFloat('amax_rgc', defaultVal=1.0e+10_pReal) - num%relMax = config_numerics%getFloat('rmax_rgc', defaultVal=1.0e+2_pReal) - num%pPert = config_numerics%getFloat('perturbpenalty_rgc', defaultVal=1.0e-7_pReal) - num%xSmoo = config_numerics%getFloat('relvantmismatch_rgc', defaultVal=1.0e-5_pReal) - num%viscPower = config_numerics%getFloat('viscositypower_rgc', defaultVal=1.0e+0_pReal) - num%viscModus = config_numerics%getFloat('viscositymodulus_rgc', defaultVal=0.0e+0_pReal) - num%refRelaxRate = config_numerics%getFloat('refrelaxationrate_rgc',defaultVal=1.0e-3_pReal) - num%maxdRelax = config_numerics%getFloat('maxrelaxationrate_rgc',defaultVal=1.0e+0_pReal) - num%maxVolDiscr = config_numerics%getFloat('maxvoldiscrepancy_rgc',defaultVal=1.0e-5_pReal) - num%volDiscrMod = config_numerics%getFloat('voldiscrepancymod_rgc',defaultVal=1.0e+12_pReal) - num%volDiscrPow = config_numerics%getFloat('dicrepancypower_rgc', defaultVal=5.0_pReal) + + + allocate(param(Ninstances)) + allocate(state(Ninstances)) + allocate(state0(Ninstances)) + allocate(dependentState(Ninstances)) + + num_RGC => num_homogMech%get('RGC',defaultVal=emptyDict) + + num%atol = num_RGC%get_asFloat('atol', defaultVal=1.0e+4_pReal) + num%rtol = num_RGC%get_asFloat('rtol', defaultVal=1.0e-3_pReal) + num%absMax = num_RGC%get_asFloat('amax', defaultVal=1.0e+10_pReal) + num%relMax = num_RGC%get_asFloat('rmax', defaultVal=1.0e+2_pReal) + num%pPert = num_RGC%get_asFloat('perturbpenalty', defaultVal=1.0e-7_pReal) + num%xSmoo = num_RGC%get_asFloat('relvantmismatch', defaultVal=1.0e-5_pReal) + num%viscPower = num_RGC%get_asFloat('viscositypower', defaultVal=1.0e+0_pReal) + num%viscModus = num_RGC%get_asFloat('viscositymodulus', defaultVal=0.0e+0_pReal) + num%refRelaxRate = num_RGC%get_asFloat('refrelaxationrate', defaultVal=1.0e-3_pReal) + num%maxdRelax = num_RGC%get_asFloat('maxrelaxationrate', defaultVal=1.0e+0_pReal) + num%maxVolDiscr = num_RGC%get_asFloat('maxvoldiscrepancy', defaultVal=1.0e-5_pReal) + num%volDiscrMod = num_RGC%get_asFloat('voldiscrepancymod', defaultVal=1.0e+12_pReal) + num%volDiscrPow = num_RGC%get_asFloat('dicrepancypower', defaultVal=5.0_pReal) if (num%atol <= 0.0_pReal) call IO_error(301,ext_msg='absTol_RGC') if (num%rtol <= 0.0_pReal) call IO_error(301,ext_msg='relTol_RGC') @@ -128,58 +140,65 @@ module subroutine mech_RGC_init if (num%volDiscrMod < 0.0_pReal) call IO_error(301,ext_msg='volDiscrMod_RGC') if (num%volDiscrPow <= 0.0_pReal) call IO_error(301,ext_msg='volDiscrPw_RGC') + + material_homogenization => config_material%get('homogenization') do h = 1, size(homogenization_type) if (homogenization_type(h) /= HOMOGENIZATION_RGC_ID) cycle + homog => material_homogenization%get(h) + homogMech => homog%get('mech') associate(prm => param(homogenization_typeInstance(h)), & stt => state(homogenization_typeInstance(h)), & st0 => state0(homogenization_typeInstance(h)), & - dst => dependentState(homogenization_typeInstance(h)), & - config => config_homogenization(h)) + dst => dependentState(homogenization_typeInstance(h))) #ifdef DEBUG - if (h==material_homogenizationAt(debug_e)) then - prm%of_debug = material_homogenizationMemberAt(debug_i,debug_e) + if (h==material_homogenizationAt(debugHomog%element)) then + prm%of_debug = material_homogenizationMemberAt(debugHomog%ip,debugHomog%element) endif #endif - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(homogMech) +#else + prm%output = homogMech%get_asStrings('output',defaultVal=emptyStringArray) +#endif - prm%Nconstituents = config%getInts('clustersize',requiredSize=3) - if (homogenization_Ngrains(h) /= product(prm%Nconstituents)) & - call IO_error(211,ext_msg='clustersize ('//HOMOGENIZATION_RGC_label//')') + prm%N_constituents = homogMech%get_asInts('cluster_size',requiredSize=3) + if (homogenization_Nconstituents(h) /= product(prm%N_constituents)) & + call IO_error(211,ext_msg='N_constituents (mech_RGC)') - prm%xiAlpha = config%getFloat('scalingparameter') - prm%ciAlpha = config%getFloat('overproportionality') + prm%xi_alpha = homogMech%get_asFloat('xi_alpha') + prm%c_alpha = homogMech%get_asFloat('c_alpha') - prm%dAlpha = config%getFloats('grainsize', requiredSize=3) - prm%angles = config%getFloats('clusterorientation',requiredSize=3) + prm%D_alpha = homogMech%get_asFloats('D_alpha', requiredSize=3) + prm%a_g = homogMech%get_asFloats('a_g', requiredSize=3) - NofMyHomog = count(material_homogenizationAt == h) - nIntFaceTot = 3*( (prm%Nconstituents(1)-1)*prm%Nconstituents(2)*prm%Nconstituents(3) & - + prm%Nconstituents(1)*(prm%Nconstituents(2)-1)*prm%Nconstituents(3) & - + prm%Nconstituents(1)*prm%Nconstituents(2)*(prm%Nconstituents(3)-1)) + Nmaterialpoints = count(material_homogenizationAt == h) + nIntFaceTot = 3*( (prm%N_constituents(1)-1)*prm%N_constituents(2)*prm%N_constituents(3) & + + prm%N_constituents(1)*(prm%N_constituents(2)-1)*prm%N_constituents(3) & + + prm%N_constituents(1)*prm%N_constituents(2)*(prm%N_constituents(3)-1)) sizeState = nIntFaceTot & + size(['avg constitutive work ','average penalty energy']) homogState(h)%sizeState = sizeState - allocate(homogState(h)%state0 (sizeState,NofMyHomog), source=0.0_pReal) - allocate(homogState(h)%subState0(sizeState,NofMyHomog), source=0.0_pReal) - allocate(homogState(h)%state (sizeState,NofMyHomog), source=0.0_pReal) + allocate(homogState(h)%state0 (sizeState,Nmaterialpoints), source=0.0_pReal) + allocate(homogState(h)%subState0(sizeState,Nmaterialpoints), source=0.0_pReal) + allocate(homogState(h)%state (sizeState,Nmaterialpoints), source=0.0_pReal) stt%relaxationVector => homogState(h)%state(1:nIntFaceTot,:) st0%relaxationVector => homogState(h)%state0(1:nIntFaceTot,:) stt%work => homogState(h)%state(nIntFaceTot+1,:) stt%penaltyEnergy => homogState(h)%state(nIntFaceTot+2,:) - allocate(dst%volumeDiscrepancy( NofMyHomog)) - allocate(dst%relaxationRate_avg( NofMyHomog)) - allocate(dst%relaxationRate_max( NofMyHomog)) - allocate(dst%mismatch( 3,NofMyHomog)) + allocate(dst%volumeDiscrepancy( Nmaterialpoints), source=0.0_pReal) + allocate(dst%relaxationRate_avg( Nmaterialpoints), source=0.0_pReal) + allocate(dst%relaxationRate_max( Nmaterialpoints), source=0.0_pReal) + allocate(dst%mismatch( 3,Nmaterialpoints), source=0.0_pReal) !-------------------------------------------------------------------------------------------------- ! assigning cluster orientations - dependentState(homogenization_typeInstance(h))%orientation = spread(eu2om(prm%angles*inRad),3,NofMyHomog) - !dst%orientation = spread(eu2om(prm%angles*inRad),3,NofMyHomog) ifort version 18.0.1 crashes (for whatever reason) + dependentState(homogenization_typeInstance(h))%orientation = spread(eu2om(prm%a_g*inRad),3,Nmaterialpoints) + !dst%orientation = spread(eu2om(prm%a_g*inRad),3,Nmaterialpoints) ifort version 18.0.1 crashes (for whatever reason) end associate @@ -193,7 +212,7 @@ end subroutine mech_RGC_init !-------------------------------------------------------------------------------------------------- module subroutine mech_RGC_partitionDeformation(F,avgF,instance,of) - real(pReal), dimension (:,:,:), intent(out) :: F !< partioned F per grain + real(pReal), dimension (:,:,:), intent(out) :: F !< partitioned F per grain real(pReal), dimension (3,3), intent(in) :: avgF !< averaged F integer, intent(in) :: & @@ -210,8 +229,8 @@ module subroutine mech_RGC_partitionDeformation(F,avgF,instance,of) !-------------------------------------------------------------------------------------------------- ! compute the deformation gradient of individual grains due to relaxations F = 0.0_pReal - do iGrain = 1,product(prm%Nconstituents) - iGrain3 = grain1to3(iGrain,prm%Nconstituents) + do iGrain = 1,product(prm%N_constituents) + iGrain3 = grain1to3(iGrain,prm%N_constituents) do iFace = 1,6 intFace = getInterface(iFace,iGrain3) ! identifying 6 interfaces of each grain aVect = relaxationVector(intFace,instance,of) ! get the relaxation vectors for each interface from global relaxation vector array @@ -222,13 +241,13 @@ module subroutine mech_RGC_partitionDeformation(F,avgF,instance,of) F(1:3,1:3,iGrain) = F(1:3,1:3,iGrain) + avgF ! resulting relaxed deformation gradient #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0) then - write(6,'(1x,a32,1x,i3)')'Deformation gradient of grain: ',iGrain + if (debugHomog%extensive) then + print'(a,i3)',' Deformation gradient of grain: ',iGrain do i = 1,3 - write(6,'(1x,3(e15.8,1x))')(F(i,j,iGrain), j = 1,3) + print'(1x,3(e15.8,1x))',(F(i,j,iGrain), j = 1,3) enddo - write(6,*)' ' - flush(6) + print*,' ' + flush(IO_STDOUT) endif #endif enddo @@ -271,7 +290,7 @@ module procedure mech_RGC_updateState !-------------------------------------------------------------------------------------------------- ! get the dimension of the cluster (grains and interfaces) - nGDim = prm%Nconstituents + nGDim = prm%N_constituents nGrain = product(nGDim) nIntFaceTot = (nGDim(1)-1)*nGDim(2)*nGDim(3) & + nGDim(1)*(nGDim(2)-1)*nGDim(3) & @@ -285,12 +304,12 @@ module procedure mech_RGC_updateState drelax = stt%relaxationVector(:,of) - st0%relaxationVector(:,of) #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0) then - write(6,'(1x,a30)')'Obtained state: ' + if (debugHomog%extensive) then + print*, 'Obtained state: ' do i = 1,size(stt%relaxationVector(:,of)) - write(6,'(1x,2(e15.8,1x))') stt%relaxationVector(i,of) + print'(1x,2(e15.8,1x))', stt%relaxationVector(i,of) enddo - write(6,*)' ' + print*,' ' endif #endif @@ -302,31 +321,15 @@ module procedure mech_RGC_updateState ! calculating volume discrepancy and stress penalty related to overall volume discrepancy call volumePenalty(D,dst%volumeDiscrepancy(of),avgF,F,nGrain,instance,of) -#ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0) then - do iGrain = 1,nGrain - write(6,'(1x,a30,1x,i3,1x,a4,3(1x,e15.8))')'Mismatch magnitude of grain(',iGrain,') :',& - NN(1,iGrain),NN(2,iGrain),NN(3,iGrain) - write(6,'(/,1x,a30,1x,i3)')'Stress and penalties of grain: ',iGrain - do i = 1,3 - write(6,'(1x,3(e15.8,1x),1x,3(e15.8,1x),1x,3(e15.8,1x))')(P(i,j,iGrain), j = 1,3), & - (R(i,j,iGrain), j = 1,3), & - (D(i,j,iGrain), j = 1,3) - enddo - write(6,*)' ' - enddo - endif -#endif - !------------------------------------------------------------------------------------------------ ! computing the residual stress from the balance of traction at all (interior) interfaces do iNum = 1,nIntFaceTot - faceID = interface1to4(iNum,param(instance)%Nconstituents) ! identifying the interface ID in local coordinate system (4-dimensional index) + faceID = interface1to4(iNum,param(instance)%N_constituents) ! identifying the interface ID in local coordinate system (4-dimensional index) !-------------------------------------------------------------------------------------------------- ! identify the left/bottom/back grain (-|N) iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate system (3-dimensional index) - iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceN = getInterface(2*faceID(1),iGr3N) normN = interfaceNormal(intFaceN,instance,of) @@ -334,7 +337,7 @@ module procedure mech_RGC_updateState ! identify the right/up/front grain (+|P) iGr3P = iGr3N iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identifying the grain ID in local coordinate system (3-dimensional index) - iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceP = getInterface(2*faceID(1)-1,iGr3P) normP = interfaceNormal(intFaceP,instance,of) @@ -351,10 +354,10 @@ module procedure mech_RGC_updateState enddo #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0) then - write(6,'(1x,a30,1x,i3)')'Traction at interface: ',iNum - write(6,'(1x,3(e15.8,1x))')(tract(iNum,j), j = 1,3) - write(6,*)' ' + if (debugHomog%extensive) then + print'(a,i3)',' Traction at interface: ',iNum + print'(1x,3(e15.8,1x))',(tract(iNum,j), j = 1,3) + print*,' ' endif #endif enddo @@ -365,16 +368,15 @@ module procedure mech_RGC_updateState residMax = maxval(abs(tract)) ! get the maximum of the residual #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0 .and. prm%of_debug == of) then + if (debugHomog%extensive .and. prm%of_debug == of) then stresLoc = maxloc(abs(P)) residLoc = maxloc(abs(tract)) - write(6,'(1x,a)')' ' - write(6,'(1x,a,1x,i2,1x,i4)')'RGC residual check ...',ip,el - write(6,'(1x,a15,1x,e15.8,1x,a7,i3,1x,a12,i2,i2)')'Max stress: ',stresMax, & - '@ grain',stresLoc(3),'in component',stresLoc(1),stresLoc(2) - write(6,'(1x,a15,1x,e15.8,1x,a7,i3,1x,a12,i2)')'Max residual: ',residMax, & - '@ iface',residLoc(1),'in direction',residLoc(2) - flush(6) + print'(a,i2,1x,i4)',' RGC residual check ... ',ip,el + print'(a,e15.8,a,i3,a,i2,i2)', ' Max stress: ',stresMax, & + '@ grain ',stresLoc(3),' in component ',stresLoc(1),stresLoc(2) + print'(a,e15.8,a,i3,a,i2)',' Max residual: ',residMax, & + ' @ iface ',residLoc(1),' in direction ',residLoc(2) + flush(IO_STDOUT) endif #endif @@ -385,13 +387,13 @@ module procedure mech_RGC_updateState if (residMax < num%rtol*stresMax .or. residMax < num%atol) then mech_RGC_updateState = .true. #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0 .and. prm%of_debug == of) & - write(6,'(1x,a55,/)')'... done and happy'; flush(6) + if (debugHomog%extensive .and. prm%of_debug == of) & + print*, '... done and happy'; flush(IO_STDOUT) #endif !-------------------------------------------------------------------------------------------------- ! compute/update the state for postResult, i.e., all energy densities computed by time-integration - do iGrain = 1,product(prm%Nconstituents) + do iGrain = 1,product(prm%N_constituents) do i = 1,3;do j = 1,3 stt%work(of) = stt%work(of) & + P(i,j,iGrain)*(F(i,j,iGrain) - F0(i,j,iGrain))/real(nGrain,pReal) @@ -405,16 +407,16 @@ module procedure mech_RGC_updateState dst%relaxationRate_max(of) = maxval(abs(drelax))/dt #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0 .and. prm%of_debug == of) then - write(6,'(1x,a30,1x,e15.8)') 'Constitutive work: ',stt%work(of) - write(6,'(1x,a30,3(1x,e15.8))')'Magnitude mismatch: ',dst%mismatch(1,of), & - dst%mismatch(2,of), & - dst%mismatch(3,of) - write(6,'(1x,a30,1x,e15.8)') 'Penalty energy: ', stt%penaltyEnergy(of) - write(6,'(1x,a30,1x,e15.8,/)') 'Volume discrepancy: ', dst%volumeDiscrepancy(of) - write(6,'(1x,a30,1x,e15.8)') 'Maximum relaxation rate: ', dst%relaxationRate_max(of) - write(6,'(1x,a30,1x,e15.8,/)') 'Average relaxation rate: ', dst%relaxationRate_avg(of) - flush(6) + if (debugHomog%extensive .and. prm%of_debug == of) then + print'(a,e15.8)', ' Constitutive work: ',stt%work(of) + print'(a,3(1x,e15.8))', ' Magnitude mismatch: ',dst%mismatch(1,of), & + dst%mismatch(2,of), & + dst%mismatch(3,of) + print'(a,e15.8)', ' Penalty energy: ', stt%penaltyEnergy(of) + print'(a,e15.8,/)', ' Volume discrepancy: ', dst%volumeDiscrepancy(of) + print'(a,e15.8)', ' Maximum relaxation rate: ', dst%relaxationRate_max(of) + print'(a,e15.8,/)', ' Average relaxation rate: ', dst%relaxationRate_avg(of) + flush(IO_STDOUT) endif #endif @@ -426,16 +428,16 @@ module procedure mech_RGC_updateState mech_RGC_updateState = [.true.,.false.] ! with direct cut-back #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0 .and. prm%of_debug == of) & - write(6,'(1x,a,/)') '... broken'; flush(6) + if (debugHomog%extensive .and. prm%of_debug == of) & + print'(a,/)', ' ... broken'; flush(IO_STDOUT) #endif return else ! proceed with computing the Jacobian and state update #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0 .and. prm%of_debug == of) & - write(6,'(1x,a,/)') '... not yet done'; flush(6) + if (debugHomog%extensive .and. prm%of_debug == of) & + print'(a,/)', ' ... not yet done'; flush(IO_STDOUT) #endif endif @@ -448,18 +450,18 @@ module procedure mech_RGC_updateState ! ... of the constitutive stress tangent, assembled from dPdF or material constitutive model "smatrix" allocate(smatrix(3*nIntFaceTot,3*nIntFaceTot), source=0.0_pReal) do iNum = 1,nIntFaceTot - faceID = interface1to4(iNum,param(instance)%Nconstituents) ! assembling of local dPdF into global Jacobian matrix + faceID = interface1to4(iNum,param(instance)%N_constituents) ! assembling of local dPdF into global Jacobian matrix !-------------------------------------------------------------------------------------------------- ! identify the left/bottom/back grain (-|N) iGr3N = faceID(2:4) ! identifying the grain ID in local coordinate sytem - iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate into global grain ID + iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate into global grain ID intFaceN = getInterface(2*faceID(1),iGr3N) ! identifying the connecting interface in local coordinate system normN = interfaceNormal(intFaceN,instance,of) do iFace = 1,6 intFaceN = getInterface(iFace,iGr3N) ! identifying all interfaces that influence relaxation of the above interface mornN = interfaceNormal(intFaceN,instance,of) - iMun = interface4to1(intFaceN,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index + iMun = interface4to1(intFaceN,param(instance)%N_constituents) ! translate the interfaces ID into local 4-dimensional index if (iMun > 0) then ! get the corresponding tangent do i=1,3; do j=1,3; do k=1,3; do l=1,3 smatrix(3*(iNum-1)+i,3*(iMun-1)+j) = smatrix(3*(iNum-1)+i,3*(iMun-1)+j) & @@ -474,13 +476,13 @@ module procedure mech_RGC_updateState ! identify the right/up/front grain (+|P) iGr3P = iGr3N iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identifying the grain ID in local coordinate sytem - iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate into global grain ID + iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate into global grain ID intFaceP = getInterface(2*faceID(1)-1,iGr3P) ! identifying the connecting interface in local coordinate system normP = interfaceNormal(intFaceP,instance,of) do iFace = 1,6 intFaceP = getInterface(iFace,iGr3P) ! identifying all interfaces that influence relaxation of the above interface mornP = interfaceNormal(intFaceP,instance,of) - iMun = interface4to1(intFaceP,param(instance)%Nconstituents) ! translate the interfaces ID into local 4-dimensional index + iMun = interface4to1(intFaceP,param(instance)%N_constituents) ! translate the interfaces ID into local 4-dimensional index if (iMun > 0) then ! get the corresponding tangent do i=1,3; do j=1,3; do k=1,3; do l=1,3 smatrix(3*(iNum-1)+i,3*(iMun-1)+j) = smatrix(3*(iNum-1)+i,3*(iMun-1)+j) & @@ -491,13 +493,13 @@ module procedure mech_RGC_updateState enddo #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0) then - write(6,'(1x,a30)')'Jacobian matrix of stress' + if (debugHomog%extensive) then + print*, 'Jacobian matrix of stress' do i = 1,3*nIntFaceTot - write(6,'(1x,100(e11.4,1x))')(smatrix(i,j), j = 1,3*nIntFaceTot) + print'(1x,100(e11.4,1x))',(smatrix(i,j), j = 1,3*nIntFaceTot) enddo - write(6,*)' ' - flush(6) + print*,' ' + flush(IO_STDOUT) endif #endif @@ -520,12 +522,12 @@ module procedure mech_RGC_updateState ! computing the global stress residual array from the perturbed state p_resid = 0.0_pReal do iNum = 1,nIntFaceTot - faceID = interface1to4(iNum,param(instance)%Nconstituents) ! identifying the interface ID in local coordinate system (4-dimensional index) + faceID = interface1to4(iNum,param(instance)%N_constituents) ! identifying the interface ID in local coordinate system (4-dimensional index) !-------------------------------------------------------------------------------------------------- ! identify the left/bottom/back grain (-|N) iGr3N = faceID(2:4) ! identify the grain ID in local coordinate system (3-dimensional index) - iGrN = grain3to1(iGr3N,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrN = grain3to1(iGr3N,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceN = getInterface(2*faceID(1),iGr3N) ! identify the interface ID of the grain normN = interfaceNormal(intFaceN,instance,of) @@ -533,7 +535,7 @@ module procedure mech_RGC_updateState ! identify the right/up/front grain (+|P) iGr3P = iGr3N iGr3P(faceID(1)) = iGr3N(faceID(1))+1 ! identify the grain ID in local coordinate system (3-dimensional index) - iGrP = grain3to1(iGr3P,param(instance)%Nconstituents) ! translate the local grain ID into global coordinate system (1-dimensional index) + iGrP = grain3to1(iGr3P,param(instance)%N_constituents) ! translate the local grain ID into global coordinate system (1-dimensional index) intFaceP = getInterface(2*faceID(1)-1,iGr3P) ! identify the interface ID of the grain normP = interfaceNormal(intFaceP,instance,of) @@ -551,13 +553,13 @@ module procedure mech_RGC_updateState enddo #ifdef DEBUG - if (iand(debug_level(debug_homogenization), debug_levelExtensive) /= 0) then - write(6,'(1x,a30)')'Jacobian matrix of penalty' + if (debugHomog%extensive) then + print*, 'Jacobian matrix of penalty' do i = 1,3*nIntFaceTot - write(6,'(1x,100(e11.4,1x))')(pmatrix(i,j), j = 1,3*nIntFaceTot) + print'(1x,100(e11.4,1x))',(pmatrix(i,j), j = 1,3*nIntFaceTot) enddo - write(6,*)' ' - flush(6) + print*,' ' + flush(IO_STDOUT) endif #endif @@ -570,13 +572,13 @@ module procedure mech_RGC_updateState enddo #ifdef DEBUG - if (iand(debug_level(debug_homogenization), debug_levelExtensive) /= 0) then - write(6,'(1x,a30)')'Jacobian matrix of penalty' + if (debugHomog%extensive) then + print*, 'Jacobian matrix of penalty' do i = 1,3*nIntFaceTot - write(6,'(1x,100(e11.4,1x))')(rmatrix(i,j), j = 1,3*nIntFaceTot) + print'(1x,100(e11.4,1x))',(rmatrix(i,j), j = 1,3*nIntFaceTot) enddo - write(6,*)' ' - flush(6) + print*,' ' + flush(IO_STDOUT) endif #endif @@ -585,13 +587,13 @@ module procedure mech_RGC_updateState allocate(jmatrix(3*nIntFaceTot,3*nIntFaceTot)); jmatrix = smatrix + pmatrix + rmatrix #ifdef DEBUG - if (iand(debug_level(debug_homogenization), debug_levelExtensive) /= 0) then - write(6,'(1x,a30)')'Jacobian matrix (total)' + if (debugHomog%extensive) then + print*, 'Jacobian matrix (total)' do i = 1,3*nIntFaceTot - write(6,'(1x,100(e11.4,1x))')(jmatrix(i,j), j = 1,3*nIntFaceTot) + print'(1x,100(e11.4,1x))',(jmatrix(i,j), j = 1,3*nIntFaceTot) enddo - write(6,*)' ' - flush(6) + print*,' ' + flush(IO_STDOUT) endif #endif @@ -601,13 +603,13 @@ module procedure mech_RGC_updateState call math_invert(jnverse,error,jmatrix) #ifdef DEBUG - if (iand(debug_level(debug_homogenization), debug_levelExtensive) /= 0) then - write(6,'(1x,a30)')'Jacobian inverse' + if (debugHomog%extensive) then + print*, 'Jacobian inverse' do i = 1,3*nIntFaceTot - write(6,'(1x,100(e11.4,1x))')(jnverse(i,j), j = 1,3*nIntFaceTot) + print'(1x,100(e11.4,1x))',(jnverse(i,j), j = 1,3*nIntFaceTot) enddo - write(6,*)' ' - flush(6) + print*,' ' + flush(IO_STDOUT) endif #endif @@ -621,20 +623,20 @@ module procedure mech_RGC_updateState if (any(abs(drelax) > num%maxdRelax)) then ! Forcing cutback when the incremental change of relaxation vector becomes too large mech_RGC_updateState = [.true.,.false.] !$OMP CRITICAL (write2out) - write(6,'(1x,a,1x,i3,1x,a,1x,i3,1x,a)')'RGC_updateState: ip',ip,'| el',el,'enforces cutback' - write(6,'(1x,a,1x,e15.8)')'due to large relaxation change =',maxval(abs(drelax)) - flush(6) + print'(a,i3,a,i3,a)',' RGC_updateState: ip ',ip,' | el ',el,' enforces cutback' + print'(a,e15.8)',' due to large relaxation change = ',maxval(abs(drelax)) + flush(IO_STDOUT) !$OMP END CRITICAL (write2out) endif #ifdef DEBUG - if (iand(debug_homogenization, debug_levelExtensive) > 0) then - write(6,'(1x,a30)')'Returned state: ' + if (debugHomog%extensive) then + print*, 'Returned state: ' do i = 1,size(stt%relaxationVector(:,of)) - write(6,'(1x,2(e15.8,1x))') stt%relaxationVector(i,of) + print'(1x,2(e15.8,1x))', stt%relaxationVector(i,of) enddo - write(6,*)' ' - flush(6) + print*,' ' + flush(IO_STDOUT) endif #endif @@ -661,11 +663,8 @@ module procedure mech_RGC_updateState integer :: iGrain,iGNghb,iFace,i,j,k,l real(pReal) :: muGrain,muGNghb,nDefNorm,bgGrain,bgGNghb real(pReal), parameter :: nDefToler = 1.0e-10_pReal -#ifdef DEBUG - logical :: debugActive -#endif - nGDim = param(instance)%Nconstituents + nGDim = param(instance)%N_constituents rPen = 0.0_pReal nMis = 0.0_pReal @@ -678,21 +677,19 @@ module procedure mech_RGC_updateState associate(prm => param(instance)) #ifdef DEBUG - debugActive = iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0 .and. prm%of_debug == of - - if (debugActive) then - write(6,'(1x,a20,2(1x,i3))')'Correction factor: ',ip,el - write(6,*) surfCorr + if (debugHomog%extensive .and. prm%of_debug == of) then + print'(a,2(1x,i3))', ' Correction factor: ',ip,el + print*, surfCorr endif #endif !----------------------------------------------------------------------------------------------- ! computing the mismatch and penalty stress tensor of all grains - grainLoop: do iGrain = 1,product(prm%Nconstituents) + grainLoop: do iGrain = 1,product(prm%N_constituents) Gmoduli = equivalentModuli(iGrain,ip,el) muGrain = Gmoduli(1) ! collecting the equivalent shear modulus of grain bgGrain = Gmoduli(2) ! and the lengthh of Burgers vector - iGrain3 = grain1to3(iGrain,prm%Nconstituents) ! get the grain ID in local 3-dimensional index (x,y,z)-position + iGrain3 = grain1to3(iGrain,prm%N_constituents) ! get the grain ID in local 3-dimensional index (x,y,z)-position interfaceLoop: do iFace = 1,6 intFace = getInterface(iFace,iGrain3) ! get the 4-dimensional index of the interface in local numbering system of the grain @@ -702,7 +699,7 @@ module procedure mech_RGC_updateState + int(real(intFace(1),pReal)/real(abs(intFace(1)),pReal)) where(iGNghb3 < 1) iGNghb3 = nGDim where(iGNghb3 >nGDim) iGNghb3 = 1 - iGNghb = grain3to1(iGNghb3,prm%Nconstituents) ! get the ID of the neighboring grain + iGNghb = grain3to1(iGNghb3,prm%N_constituents) ! get the ID of the neighboring grain Gmoduli = equivalentModuli(iGNghb,ip,el) ! collect the shear modulus and Burgers vector of the neighbor muGNghb = Gmoduli(1) bgGNghb = Gmoduli(2) @@ -721,27 +718,27 @@ module procedure mech_RGC_updateState nDefNorm = max(nDefToler,sqrt(nDefNorm)) ! approximation to zero mismatch if mismatch is zero (singularity) nMis(abs(intFace(1)),iGrain) = nMis(abs(intFace(1)),iGrain) + nDefNorm ! total amount of mismatch experienced by the grain (at all six interfaces) #ifdef DEBUG - if (debugActive) then - write(6,'(1x,a20,i2,1x,a20,1x,i3)')'Mismatch to face: ',intFace(1),'neighbor grain: ',iGNghb - write(6,*) transpose(nDef) - write(6,'(1x,a20,e11.4)')'with magnitude: ',nDefNorm + if (debugHomog%extensive .and. prm%of_debug == of) then + print'(a,i2,a,i3)',' Mismatch to face: ',intFace(1),' neighbor grain: ',iGNghb + print*, transpose(nDef) + print'(a,e11.4)', ' with magnitude: ',nDefNorm endif #endif !------------------------------------------------------------------------------------------- ! compute the stress penalty of all interfaces do i = 1,3; do j = 1,3; do k = 1,3; do l = 1,3 - rPen(i,j,iGrain) = rPen(i,j,iGrain) + 0.5_pReal*(muGrain*bgGrain + muGNghb*bgGNghb)*prm%xiAlpha & - *surfCorr(abs(intFace(1)))/prm%dAlpha(abs(intFace(1))) & - *cosh(prm%ciAlpha*nDefNorm) & + rPen(i,j,iGrain) = rPen(i,j,iGrain) + 0.5_pReal*(muGrain*bgGrain + muGNghb*bgGNghb)*prm%xi_alpha & + *surfCorr(abs(intFace(1)))/prm%D_alpha(abs(intFace(1))) & + *cosh(prm%c_alpha*nDefNorm) & *0.5_pReal*nVect(l)*nDef(i,k)/nDefNorm*math_LeviCivita(k,l,j) & *tanh(nDefNorm/num%xSmoo) enddo; enddo;enddo; enddo enddo interfaceLoop #ifdef DEBUG - if (debugActive) then - write(6,'(1x,a20,i2)')'Penalty of grain: ',iGrain - write(6,*) transpose(rPen(1:3,1:3,iGrain)) + if (debugHomog%extensive .and. prm%of_debug == of) then + print'(a,i2)', ' Penalty of grain: ',iGrain + print*, transpose(rPen(1:3,1:3,iGrain)) endif #endif @@ -788,10 +785,9 @@ module procedure mech_RGC_updateState gVol(i)*transpose(math_inv33(fDef(:,:,i))) #ifdef DEBUG - if (iand(debug_level(debug_homogenization),debug_levelExtensive) /= 0 & - .and. param(instance)%of_debug == of) then - write(6,'(1x,a30,i2)')'Volume penalty of grain: ',i - write(6,*) transpose(vPen(:,:,i)) + if (debugHomog%extensive .and. param(instance)%of_debug == of) then + print'(a,i2)',' Volume penalty of grain: ',i + print*, transpose(vPen(:,:,i)) endif #endif enddo @@ -871,7 +867,7 @@ module procedure mech_RGC_updateState !-------------------------------------------------------------------------------------------------- subroutine grainDeformation(F, avgF, instance, of) - real(pReal), dimension(:,:,:), intent(out) :: F !< partioned F per grain + real(pReal), dimension(:,:,:), intent(out) :: F !< partitioned F per grain real(pReal), dimension(:,:), intent(in) :: avgF !< averaged F integer, intent(in) :: & @@ -889,8 +885,8 @@ module procedure mech_RGC_updateState associate(prm => param(instance)) F = 0.0_pReal - do iGrain = 1,product(prm%Nconstituents) - iGrain3 = grain1to3(iGrain,prm%Nconstituents) + do iGrain = 1,product(prm%N_constituents) + iGrain3 = grain1to3(iGrain,prm%N_constituents) do iFace = 1,6 intFace = getInterface(iFace,iGrain3) aVect = relaxationVector(intFace,instance,of) @@ -920,8 +916,8 @@ module subroutine mech_RGC_averageStressAndItsTangent(avgP,dAvgPdAvgF,P,dPdF,ins real(pReal), dimension (:,:,:,:,:), intent(in) :: dPdF !< partitioned stiffnesses integer, intent(in) :: instance - avgP = sum(P,3) /real(product(param(instance)%Nconstituents),pReal) - dAvgPdAvgF = sum(dPdF,5)/real(product(param(instance)%Nconstituents),pReal) + avgP = sum(P,3) /real(product(param(instance)%N_constituents),pReal) + dAvgPdAvgF = sum(dPdF,5)/real(product(param(instance)%N_constituents),pReal) end subroutine mech_RGC_averageStressAndItsTangent @@ -939,23 +935,23 @@ module subroutine mech_RGC_results(instance,group) associate(stt => state(instance), dst => dependentState(instance), prm => param(instance)) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case('constitutivework') - call results_writeDataset(group,stt%work,'W',& + case('W') + call results_writeDataset(group,stt%work,trim(prm%output(o)), & 'work density','J/m³') - case('magnitudemismatch') - call results_writeDataset(group,dst%mismatch,'N',& + case('M') + call results_writeDataset(group,dst%mismatch,trim(prm%output(o)), & 'average mismatch tensor','1') - case('penaltyenergy') - call results_writeDataset(group,stt%penaltyEnergy,'R',& + case('R') + call results_writeDataset(group,stt%penaltyEnergy,trim(prm%output(o)), & 'mismatch penalty density','J/m³') - case('volumediscrepancy') - call results_writeDataset(group,dst%volumeDiscrepancy,'Delta_V',& + case('Delta_V') + call results_writeDataset(group,dst%volumeDiscrepancy,trim(prm%output(o)), & 'volume discrepancy','m³') - case('maximumrelaxrate') - call results_writeDataset(group,dst%relaxationrate_max,'max_alpha_dot',& + case('max_a_dot') + call results_writeDataset(group,dst%relaxationrate_max,trim(prm%output(o)), & 'maximum relaxation rate','m/s') - case('averagerelaxrate') - call results_writeDataset(group,dst%relaxationrate_avg,'avg_alpha_dot',& + case('avg_a_dot') + call results_writeDataset(group,dst%relaxationrate_avg,trim(prm%output(o)), & 'average relaxation rate','m/s') end select enddo outputsLoop @@ -979,7 +975,7 @@ pure function relaxationVector(intFace,instance,of) !-------------------------------------------------------------------------------------------------- ! collect the interface relaxation vector from the global state array - iNum = interface4to1(intFace,param(instance)%Nconstituents) ! identify the position of the interface in global state array + iNum = interface4to1(intFace,param(instance)%N_constituents) ! identify the position of the interface in global state array if (iNum > 0) then relaxationVector = state(instance)%relaxationVector((3*iNum-2):(3*iNum),of) else diff --git a/src/homogenization_mech_isostrain.f90 b/src/homogenization_mech_isostrain.f90 index 9b81ab666..994c1b410 100644 --- a/src/homogenization_mech_isostrain.f90 +++ b/src/homogenization_mech_isostrain.f90 @@ -10,16 +10,16 @@ submodule(homogenization) homogenization_mech_isostrain parallel_ID, & average_ID end enum - + type :: tParameters !< container type for internal constitutive parameters integer :: & - Nconstituents + N_constituents integer(kind(average_ID)) :: & mapping end type - - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) - + + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) + contains @@ -29,45 +29,46 @@ contains module subroutine mech_isostrain_init integer :: & - Ninstance, & + Ninstances, & h, & - NofMyHomog - character(len=pStringLen) :: & - tag = '' - - write(6,'(/,a)') ' <<<+- homogenization_'//HOMOGENIZATION_ISOSTRAIN_LABEL//' init -+>>>' - - Ninstance = count(homogenization_type == HOMOGENIZATION_ISOSTRAIN_ID) - if (iand(debug_level(debug_HOMOGENIZATION),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance - - allocate(param(Ninstance)) ! one container of parameters per instance - + Nmaterialpoints + class(tNode), pointer :: & + material_homogenization, & + homog, & + homogMech + + print'(/,a)', ' <<<+- homogenization_mech_isostrain init -+>>>' + + Ninstances = count(homogenization_type == HOMOGENIZATION_ISOSTRAIN_ID) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + + allocate(param(Ninstances)) ! one container of parameters per instance + + material_homogenization => config_material%get('homogenization') do h = 1, size(homogenization_type) if (homogenization_type(h) /= HOMOGENIZATION_ISOSTRAIN_ID) cycle - - associate(prm => param(homogenization_typeInstance(h)),& - config => config_homogenization(h)) - - prm%Nconstituents = config_homogenization(h)%getInt('nconstituents') - tag = 'sum' - select case(trim(config%getString('mapping',defaultVal = tag))) + homog => material_homogenization%get(h) + homogMech => homog%get('mech') + associate(prm => param(homogenization_typeInstance(h))) + + prm%N_constituents = homogenization_Nconstituents(h) + select case(homogMech%get_asString('mapping',defaultVal = 'sum')) case ('sum') prm%mapping = parallel_ID case ('avg') prm%mapping = average_ID case default - call IO_error(211,ext_msg=trim(tag)//' ('//HOMOGENIZATION_ISOSTRAIN_LABEL//')') + call IO_error(211,ext_msg='sum'//' (mech_isostrain)') end select - - NofMyHomog = count(material_homogenizationAt == h) + + Nmaterialpoints = count(material_homogenizationAt == h) homogState(h)%sizeState = 0 - allocate(homogState(h)%state0 (0,NofMyHomog)) - allocate(homogState(h)%subState0(0,NofMyHomog)) - allocate(homogState(h)%state (0,NofMyHomog)) - + allocate(homogState(h)%state0 (0,Nmaterialpoints)) + allocate(homogState(h)%subState0(0,Nmaterialpoints)) + allocate(homogState(h)%state (0,Nmaterialpoints)) + end associate - + enddo end subroutine mech_isostrain_init @@ -77,39 +78,39 @@ end subroutine mech_isostrain_init !> @brief partitions the deformation gradient onto the constituents !-------------------------------------------------------------------------------------------------- module subroutine mech_isostrain_partitionDeformation(F,avgF) - + real(pReal), dimension (:,:,:), intent(out) :: F !< partitioned deformation gradient - + real(pReal), dimension (3,3), intent(in) :: avgF !< average deformation gradient at material point - + F = spread(avgF,3,size(F,3)) end subroutine mech_isostrain_partitionDeformation !-------------------------------------------------------------------------------------------------- -!> @brief derive average stress and stiffness from constituent quantities +!> @brief derive average stress and stiffness from constituent quantities !-------------------------------------------------------------------------------------------------- module subroutine mech_isostrain_averageStressAndItsTangent(avgP,dAvgPdAvgF,P,dPdF,instance) - + real(pReal), dimension (3,3), intent(out) :: avgP !< average stress at material point real(pReal), dimension (3,3,3,3), intent(out) :: dAvgPdAvgF !< average stiffness at material point - + real(pReal), dimension (:,:,:), intent(in) :: P !< partitioned stresses real(pReal), dimension (:,:,:,:,:), intent(in) :: dPdF !< partitioned stiffnesses - integer, intent(in) :: instance - + integer, intent(in) :: instance + associate(prm => param(instance)) - + select case (prm%mapping) case (parallel_ID) avgP = sum(P,3) dAvgPdAvgF = sum(dPdF,5) case (average_ID) - avgP = sum(P,3) /real(prm%Nconstituents,pReal) - dAvgPdAvgF = sum(dPdF,5)/real(prm%Nconstituents,pReal) + avgP = sum(P,3) /real(prm%N_constituents,pReal) + dAvgPdAvgF = sum(dPdF,5)/real(prm%N_constituents,pReal) end select - + end associate end subroutine mech_isostrain_averageStressAndItsTangent diff --git a/src/homogenization_mech_none.f90 b/src/homogenization_mech_none.f90 index 474d74ffd..5b12247cd 100644 --- a/src/homogenization_mech_none.f90 +++ b/src/homogenization_mech_none.f90 @@ -9,30 +9,32 @@ submodule(homogenization) homogenization_mech_none contains !-------------------------------------------------------------------------------------------------- -!> @brief allocates all neccessary fields, reads information from material configuration file +!> @brief allocates all necessary fields, reads information from material configuration file !-------------------------------------------------------------------------------------------------- module subroutine mech_none_init integer :: & - Ninstance, & + Ninstances, & h, & - NofMyHomog - - write(6,'(/,a)') ' <<<+- homogenization_'//HOMOGENIZATION_NONE_label//' init -+>>>'; flush(6) + Nmaterialpoints + + print'(/,a)', ' <<<+- homogenization_mech_none init -+>>>' + + Ninstances = count(homogenization_type == HOMOGENIZATION_NONE_ID) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) - Ninstance = count(homogenization_type == HOMOGENIZATION_NONE_ID) - if (iand(debug_level(debug_HOMOGENIZATION),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance - do h = 1, size(homogenization_type) - if (homogenization_type(h) /= HOMOGENIZATION_NONE_ID) cycle + if(homogenization_type(h) /= HOMOGENIZATION_NONE_ID) cycle + + if(homogenization_Nconstituents(h) /= 1) & + call IO_error(211,ext_msg='N_constituents (mech_none)') - NofMyHomog = count(material_homogenizationAt == h) + Nmaterialpoints = count(material_homogenizationAt == h) homogState(h)%sizeState = 0 - allocate(homogState(h)%state0 (0,NofMyHomog)) - allocate(homogState(h)%subState0(0,NofMyHomog)) - allocate(homogState(h)%state (0,NofMyHomog)) - + allocate(homogState(h)%state0 (0,Nmaterialpoints)) + allocate(homogState(h)%subState0(0,Nmaterialpoints)) + allocate(homogState(h)%state (0,Nmaterialpoints)) + enddo end subroutine mech_none_init diff --git a/src/kinematics_cleavage_opening.f90 b/src/kinematics_cleavage_opening.f90 index 3366a7b1e..44bbcb4f4 100644 --- a/src/kinematics_cleavage_opening.f90 +++ b/src/kinematics_cleavage_opening.f90 @@ -4,37 +4,24 @@ !> @brief material subroutine incorporating kinematics resulting from opening of cleavage planes !> @details to be done !-------------------------------------------------------------------------------------------------- -module kinematics_cleavage_opening - use prec - use IO - use config - use debug - use math - use lattice - use material - - implicit none - private +submodule(constitutive:constitutive_damage) kinematics_cleavage_opening integer, dimension(:), allocatable :: kinematics_cleavage_opening_instance type :: tParameters !< container type for internal constitutive parameters integer :: & - sum_N_cl + sum_N_cl !< total number of cleavage planes real(pReal) :: & - sdot0, & - n + dot_o, & !< opening rate of cleavage planes + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critLoad + g_crit real(pReal), dimension(:,:,:,:), allocatable :: & cleavage_systems end type tParameters - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) - public :: & - kinematics_cleavage_opening_init, & - kinematics_cleavage_opening_LiAndItsTangent contains @@ -43,61 +30,78 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine kinematics_cleavage_opening_init +module function kinematics_cleavage_opening_init(kinematics_length) result(myKinematics) + + integer, intent(in) :: kinematics_length + logical, dimension(:,:), allocatable :: myKinematics - integer :: Ninstance,p + integer :: Ninstances,p,k integer, dimension(:), allocatable :: N_cl !< active number of cleavage systems per family character(len=pStringLen) :: extmsg = '' + class(tNode), pointer :: & + phases, & + phase, & + pl, & + kinematics, & + kinematic_type + + print'(/,a)', ' <<<+- kinematics_cleavage_opening init -+>>>' - write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_CLEAVAGE_OPENING_LABEL//' init -+>>>'; flush(6) + myKinematics = kinematics_active('cleavage_opening',kinematics_length) + Ninstances = count(myKinematics) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - Ninstance = count(phase_kinematics == KINEMATICS_CLEAVAGE_OPENING_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(kinematics_cleavage_opening_instance(phases%length), source=0) - allocate(kinematics_cleavage_opening_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + do p = 1, phases%length + if(any(myKinematics(:,p))) kinematics_cleavage_opening_instance(p) = count(myKinematics(:,1:p)) + phase => phases%get(p) + pl => phase%get('plasticity') + if(count(myKinematics(:,p)) == 0) cycle + kinematics => phase%get('kinematics') + do k = 1, kinematics%length + if(myKinematics(k,p)) then + associate(prm => param(kinematics_cleavage_opening_instance(p))) + kinematic_type => kinematics%get(k) - do p = 1, size(config_phase) - kinematics_cleavage_opening_instance(p) = count(phase_kinematics(:,1:p) == KINEMATICS_CLEAVAGE_OPENING_ID) - if (all(phase_kinematics(:,p) /= KINEMATICS_CLEAVAGE_OPENING_ID)) cycle + N_cl = kinematic_type%get_asInts('N_cl') + prm%sum_N_cl = sum(abs(N_cl)) - associate(prm => param(kinematics_cleavage_opening_instance(p)), & - config => config_phase(p)) + prm%q = kinematic_type%get_asFloat('q') + prm%dot_o = kinematic_type%get_asFloat('dot_o') - N_cl = config%getInts('ncleavage') - prm%sum_N_cl = sum(abs(N_cl)) + prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_cl)) - prm%n = config%getFloat('anisobrittle_ratesensitivity') - prm%sdot0 = config%getFloat('anisobrittle_sdot0') + prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) - prm%critLoad = config%getFloats('anisobrittle_criticalload',requiredSize=size(N_cl)) + ! expand: family => system + prm%g_crit = math_expand(prm%g_crit,N_cl) - prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - - ! expand: family => system - prm%critLoad = math_expand(prm%critLoad,N_cl) - - ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisobrittle_n' - if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisobrittle_sdot0' - if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_critLoad' + ! sanity checks + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' + if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//KINEMATICS_CLEAVAGE_OPENING_LABEL//')') - - end associate + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(cleavage_opening)') + end associate + endif + enddo enddo -end subroutine kinematics_cleavage_opening_init + +end function kinematics_cleavage_opening_init !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- -subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el) +module subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el) integer, intent(in) :: & ipc, & !< grain number @@ -124,13 +128,13 @@ subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, i dLd_dTstar = 0.0_pReal associate(prm => param(kinematics_cleavage_opening_instance(material_phaseAt(ipc,el)))) do i = 1,prm%sum_N_cl - traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset)**2.0_pReal + traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset)**2.0_pReal traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i)) if (abs(traction_d) > traction_crit + tol_math_check) then - udotd = sign(1.0_pReal,traction_d)* prm%sdot0 * ((abs(traction_d) - traction_crit)/traction_crit)**prm%n + udotd = sign(1.0_pReal,traction_d)* prm%dot_o * ((abs(traction_d) - traction_crit)/traction_crit)**prm%q Ld = Ld + udotd*prm%cleavage_systems(1:3,1:3,1,i) - dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%n / (abs(traction_d) - traction_crit) + dudotd_dt = sign(1.0_pReal,traction_d)*udotd*prm%q / (abs(traction_d) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudotd_dt*prm%cleavage_systems(k,l,1,i) * prm%cleavage_systems(m,n,1,i) @@ -138,9 +142,9 @@ subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, i traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i)) if (abs(traction_t) > traction_crit + tol_math_check) then - udott = sign(1.0_pReal,traction_t)* prm%sdot0 * ((abs(traction_t) - traction_crit)/traction_crit)**prm%n + udott = sign(1.0_pReal,traction_t)* prm%dot_o * ((abs(traction_t) - traction_crit)/traction_crit)**prm%q Ld = Ld + udott*prm%cleavage_systems(1:3,1:3,2,i) - dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%n / (abs(traction_t) - traction_crit) + dudott_dt = sign(1.0_pReal,traction_t)*udott*prm%q / (abs(traction_t) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudott_dt*prm%cleavage_systems(k,l,2,i) * prm%cleavage_systems(m,n,2,i) @@ -148,9 +152,9 @@ subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, i traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i)) if (abs(traction_n) > traction_crit + tol_math_check) then - udotn = sign(1.0_pReal,traction_n)* prm%sdot0 * ((abs(traction_n) - traction_crit)/traction_crit)**prm%n + udotn = sign(1.0_pReal,traction_n)* prm%dot_o * ((abs(traction_n) - traction_crit)/traction_crit)**prm%q Ld = Ld + udotn*prm%cleavage_systems(1:3,1:3,3,i) - dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%n / (abs(traction_n) - traction_crit) + dudotn_dt = sign(1.0_pReal,traction_n)*udotn*prm%q / (abs(traction_n) - traction_crit) forall (k=1:3,l=1:3,m=1:3,n=1:3) & dLd_dTstar(k,l,m,n) = dLd_dTstar(k,l,m,n) & + dudotn_dt*prm%cleavage_systems(k,l,3,i) * prm%cleavage_systems(m,n,3,i) @@ -160,4 +164,4 @@ subroutine kinematics_cleavage_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, i end subroutine kinematics_cleavage_opening_LiAndItsTangent -end module kinematics_cleavage_opening +end submodule kinematics_cleavage_opening diff --git a/src/kinematics_slipplane_opening.f90 b/src/kinematics_slipplane_opening.f90 index 833fa8759..ea8f51427 100644 --- a/src/kinematics_slipplane_opening.f90 +++ b/src/kinematics_slipplane_opening.f90 @@ -4,39 +4,26 @@ !> @brief material subroutine incorporating kinematics resulting from opening of slip planes !> @details to be done !-------------------------------------------------------------------------------------------------- -module kinematics_slipplane_opening - use prec - use config - use IO - use debug - use math - use lattice - use material - - implicit none - private +submodule(constitutive:constitutive_damage) kinematics_slipplane_opening integer, dimension(:), allocatable :: kinematics_slipplane_opening_instance type :: tParameters !< container type for internal constitutive parameters integer :: & - sum_N_sl + sum_N_sl !< total number of cleavage planes real(pReal) :: & - sdot0, & - n + dot_o, & !< opening rate of cleavage planes + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critLoad + g_crit real(pReal), dimension(:,:,:), allocatable :: & P_d, & P_t, & P_n end type tParameters - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) - public :: & - kinematics_slipplane_opening_init, & - kinematics_slipplane_opening_LiAndItsTangent contains @@ -45,71 +32,90 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine kinematics_slipplane_opening_init +module function kinematics_slipplane_opening_init(kinematics_length) result(myKinematics) - integer :: Ninstance,p,i + integer, intent(in) :: kinematics_length + logical, dimension(:,:), allocatable :: myKinematics + + integer :: Ninstances,p,i,k character(len=pStringLen) :: extmsg = '' integer, dimension(:), allocatable :: N_sl real(pReal), dimension(:,:), allocatable :: d,n,t + class(tNode), pointer :: & + phases, & + phase, & + pl, & + kinematics, & + kinematic_type + + print'(/,a)', ' <<<+- kinematics_slipplane init -+>>>' - write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_SLIPPLANE_OPENING_LABEL//' init -+>>>'; flush(6) + myKinematics = kinematics_active('slipplane_opening',kinematics_length) + Ninstances = count(myKinematics) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - Ninstance = count(phase_kinematics == KINEMATICS_SLIPPLANE_OPENING_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + phases => config_material%get('phase') + allocate(kinematics_slipplane_opening_instance(phases%length), source=0) + allocate(param(Ninstances)) - allocate(kinematics_slipplane_opening_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + do p = 1, phases%length + if(any(myKinematics(:,p))) kinematics_slipplane_opening_instance(p) = count(myKinematics(:,1:p)) + phase => phases%get(p) + pl => phase%get('plasticity') + if(count(myKinematics(:,p)) == 0) cycle + kinematics => phase%get('kinematics') + do k = 1, kinematics%length + if(myKinematics(k,p)) then + associate(prm => param(kinematics_slipplane_opening_instance(p))) + kinematic_type => kinematics%get(k) - do p = 1, size(config_phase) - kinematics_slipplane_opening_instance(p) = count(phase_kinematics(:,1:p) == KINEMATICS_SLIPPLANE_OPENING_ID) - if (all(phase_kinematics(:,p) /= KINEMATICS_SLIPPLANE_OPENING_ID)) cycle - associate(prm => param(kinematics_slipplane_opening_instance(p)), & - config => config_phase(p)) + prm%dot_o = kinematic_type%get_asFloat('dot_o') + prm%q = kinematic_type%get_asFloat('q') + N_sl = pl%get_asInts('N_sl') + prm%sum_N_sl = sum(abs(N_sl)) - prm%sdot0 = config%getFloat('anisoductile_sdot0') - prm%n = config%getFloat('anisoductile_ratesensitivity') - N_sl = config%getInts('nslip') - prm%sum_N_sl = sum(abs(N_sl)) + d = lattice_slip_direction (N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + t = lattice_slip_transverse(N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + n = lattice_slip_normal (N_sl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + allocate(prm%P_d(3,3,size(d,2)),prm%P_t(3,3,size(t,2)),prm%P_n(3,3,size(n,2))) - d = lattice_slip_direction (N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - t = lattice_slip_transverse(N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - n = lattice_slip_normal (N_sl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - allocate(prm%P_d(3,3,size(d,2)),prm%P_t(3,3,size(t,2)),prm%P_n(3,3,size(n,2))) + do i=1, size(n,2) + prm%P_d(1:3,1:3,i) = math_outer(d(1:3,i), n(1:3,i)) + prm%P_t(1:3,1:3,i) = math_outer(t(1:3,i), n(1:3,i)) + prm%P_n(1:3,1:3,i) = math_outer(n(1:3,i), n(1:3,i)) + enddo - do i=1, size(n,2) - prm%P_d(1:3,1:3,i) = math_outer(d(1:3,i), n(1:3,i)) - prm%P_t(1:3,1:3,i) = math_outer(t(1:3,i), n(1:3,i)) - prm%P_n(1:3,1:3,i) = math_outer(n(1:3,i), n(1:3,i)) - enddo + prm%g_crit = kinematic_type%get_asFloats('g_crit',requiredSize=size(N_sl)) - prm%critLoad = config%getFloats('anisoductile_criticalload',requiredSize=size(N_sl)) + ! expand: family => system + prm%g_crit = math_expand(prm%g_crit,N_sl) - ! expand: family => system - prm%critLoad = math_expand(prm%critLoad,N_sl) - - ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n' - if (prm%sdot0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0' - if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad' + ! sanity checks + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_n' + if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' anisoDuctile_sdot0' + if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' anisoDuctile_critLoad' !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//KINEMATICS_SLIPPLANE_OPENING_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(slipplane_opening)') - end associate + end associate + endif + enddo enddo -end subroutine kinematics_slipplane_opening_init + +end function kinematics_slipplane_opening_init !-------------------------------------------------------------------------------------------------- !> @brief contains the constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- -subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el) +module subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, ip, el) integer, intent(in) :: & ipc, & !< grain number @@ -144,27 +150,27 @@ subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, traction_t = math_tensordot(S,prm%P_t(1:3,1:3,i)) traction_n = math_tensordot(S,prm%P_n(1:3,1:3,i)) - traction_crit = prm%critLoad(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage + traction_crit = prm%g_crit(i)* damage(homog)%p(damageOffset) ! degrading critical load carrying capacity by damage - udotd = sign(1.0_pReal,traction_d)* prm%sdot0* ( abs(traction_d)/traction_crit & - - abs(traction_d)/prm%critLoad(i))**prm%n - udott = sign(1.0_pReal,traction_t)* prm%sdot0* ( abs(traction_t)/traction_crit & - - abs(traction_t)/prm%critLoad(i))**prm%n - udotn = prm%sdot0* ( max(0.0_pReal,traction_n)/traction_crit & - - max(0.0_pReal,traction_n)/prm%critLoad(i))**prm%n + udotd = sign(1.0_pReal,traction_d)* prm%dot_o* ( abs(traction_d)/traction_crit & + - abs(traction_d)/prm%g_crit(i))**prm%q + udott = sign(1.0_pReal,traction_t)* prm%dot_o* ( abs(traction_t)/traction_crit & + - abs(traction_t)/prm%g_crit(i))**prm%q + udotn = prm%dot_o* ( max(0.0_pReal,traction_n)/traction_crit & + - max(0.0_pReal,traction_n)/prm%g_crit(i))**prm%q if (dNeq0(traction_d)) then - dudotd_dt = udotd*prm%n/traction_d + dudotd_dt = udotd*prm%q/traction_d else dudotd_dt = 0.0_pReal endif if (dNeq0(traction_t)) then - dudott_dt = udott*prm%n/traction_t + dudott_dt = udott*prm%q/traction_t else dudott_dt = 0.0_pReal endif if (dNeq0(traction_n)) then - dudotn_dt = udotn*prm%n/traction_n + dudotn_dt = udotn*prm%q/traction_n else dudotn_dt = 0.0_pReal endif @@ -185,4 +191,4 @@ subroutine kinematics_slipplane_opening_LiAndItsTangent(Ld, dLd_dTstar, S, ipc, end subroutine kinematics_slipplane_opening_LiAndItsTangent -end module kinematics_slipplane_opening +end submodule kinematics_slipplane_opening diff --git a/src/kinematics_thermal_expansion.f90 b/src/kinematics_thermal_expansion.f90 index acf3a5067..4afde82e3 100644 --- a/src/kinematics_thermal_expansion.f90 +++ b/src/kinematics_thermal_expansion.f90 @@ -3,17 +3,7 @@ !> @brief material subroutine incorporating kinematics resulting from thermal expansion !> @details to be done !-------------------------------------------------------------------------------------------------- -module kinematics_thermal_expansion - use prec - use IO - use config - use debug - use math - use lattice - use material - - implicit none - private +submodule(constitutive:constitutive_thermal) kinematics_thermal_expansion integer, dimension(:), allocatable :: kinematics_thermal_expansion_instance @@ -21,15 +11,11 @@ module kinematics_thermal_expansion real(pReal) :: & T_ref real(pReal), dimension(3,3,3) :: & - expansion = 0.0_pReal + A = 0.0_pReal end type tParameters type(tParameters), dimension(:), allocatable :: param - public :: & - kinematics_thermal_expansion_init, & - kinematics_thermal_expansion_initialStrain, & - kinematics_thermal_expansion_LiAndItsTangent contains @@ -38,73 +24,92 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine kinematics_thermal_expansion_init +module function kinematics_thermal_expansion_init(kinematics_length) result(myKinematics) - integer :: Ninstance,p,i + integer, intent(in) :: kinematics_length + logical, dimension(:,:), allocatable :: myKinematics + + integer :: Ninstances,p,i,k real(pReal), dimension(:), allocatable :: temp + class(tNode), pointer :: & + phases, & + phase, & + pl, & + kinematics, & + kinematic_type + + print'(/,a)', ' <<<+- kinematics_thermal_expansion init -+>>>' - write(6,'(/,a)') ' <<<+- kinematics_'//KINEMATICS_thermal_expansion_LABEL//' init -+>>>'; flush(6) + myKinematics = kinematics_active('thermal_expansion',kinematics_length) + Ninstances = count(myKinematics) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - Ninstance = count(phase_kinematics == KINEMATICS_thermal_expansion_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(kinematics_thermal_expansion_instance(phases%length), source=0) - allocate(kinematics_thermal_expansion_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + do p = 1, phases%length + if(any(myKinematics(:,p))) kinematics_thermal_expansion_instance(p) = count(myKinematics(:,1:p)) + phase => phases%get(p) + pl => phase%get('plasticity') + if(count(myKinematics(:,p)) == 0) cycle + kinematics => phase%get('kinematics') + do k = 1, kinematics%length + if(myKinematics(k,p)) then + associate(prm => param(kinematics_thermal_expansion_instance(p))) + kinematic_type => kinematics%get(k) - do p = 1, size(config_phase) - kinematics_thermal_expansion_instance(p) = count(phase_kinematics(:,1:p) == KINEMATICS_thermal_expansion_ID) - if (all(phase_kinematics(:,p) /= KINEMATICS_thermal_expansion_ID)) cycle + prm%T_ref = kinematic_type%get_asFloat('T_ref', defaultVal=0.0_pReal) - associate(prm => param(kinematics_thermal_expansion_instance(p)), & - config => config_phase(p)) + ! read up to three parameters (constant, linear, quadratic with T) + temp = kinematic_type%get_asFloats('A_11') + prm%A(1,1,1:size(temp)) = temp + temp = kinematic_type%get_asFloats('A_22',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) + prm%A(2,2,1:size(temp)) = temp + temp = kinematic_type%get_asFloats('A_33',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) + prm%A(3,3,1:size(temp)) = temp + do i=1, size(prm%A,3) + prm%A(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%A(1:3,1:3,i),& + phase%get_asString('lattice')) + enddo - prm%T_ref = config%getFloat('reference_temperature', defaultVal=0.0_pReal) - - ! read up to three parameters (constant, linear, quadratic with T) - temp = config%getFloats('thermal_expansion11') - prm%expansion(1,1,1:size(temp)) = temp - temp = config%getFloats('thermal_expansion22',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) - prm%expansion(2,2,1:size(temp)) = temp - temp = config%getFloats('thermal_expansion33',defaultVal=[(0.0_pReal, i=1,size(temp))],requiredSize=size(temp)) - prm%expansion(3,3,1:size(temp)) = temp - do i=1, size(prm%expansion,3) - prm%expansion(1:3,1:3,i) = lattice_applyLatticeSymmetry33(prm%expansion(1:3,1:3,i),config%getString('lattice_structure')) + end associate + endif enddo - - end associate enddo -end subroutine kinematics_thermal_expansion_init + +end function kinematics_thermal_expansion_init !-------------------------------------------------------------------------------------------------- !> @brief report initial thermal strain based on current temperature deviation from reference !-------------------------------------------------------------------------------------------------- -pure function kinematics_thermal_expansion_initialStrain(homog,phase,offset) +pure module function kinematics_thermal_expansion_initialStrain(homog,phase,offset) result(initialStrain) - integer, intent(in) :: & - phase, & - homog, & - offset + integer, intent(in) :: & + phase, & + homog, & + offset - real(pReal), dimension(3,3) :: & - kinematics_thermal_expansion_initialStrain !< initial thermal strain (should be small strain, though) + real(pReal), dimension(3,3) :: & + initialStrain !< initial thermal strain (should be small strain, though) - associate(prm => param(kinematics_thermal_expansion_instance(phase))) - kinematics_thermal_expansion_initialStrain = & - (temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%expansion(1:3,1:3,1) + & ! constant coefficient - (temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%expansion(1:3,1:3,2) + & ! linear coefficient - (temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%expansion(1:3,1:3,3) ! quadratic coefficient - end associate + associate(prm => param(kinematics_thermal_expansion_instance(phase))) + initialStrain = & + (temperature(homog)%p(offset) - prm%T_ref)**1 / 1. * prm%A(1:3,1:3,1) + & ! constant coefficient + (temperature(homog)%p(offset) - prm%T_ref)**2 / 2. * prm%A(1:3,1:3,2) + & ! linear coefficient + (temperature(homog)%p(offset) - prm%T_ref)**3 / 3. * prm%A(1:3,1:3,3) ! quadratic coefficient + end associate end function kinematics_thermal_expansion_initialStrain !-------------------------------------------------------------------------------------------------- -!> @brief contains the constitutive equation for calculating the velocity gradient +!> @brief constitutive equation for calculating the velocity gradient !-------------------------------------------------------------------------------------------------- -subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, ipc, ip, el) +module subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, ipc, ip, el) integer, intent(in) :: & ipc, & !< grain number @@ -128,18 +133,18 @@ subroutine kinematics_thermal_expansion_LiAndItsTangent(Li, dLi_dTstar, ipc, ip, associate(prm => param(kinematics_thermal_expansion_instance(phase))) Li = TDot * ( & - prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient - + prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient - + prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient + prm%A(1:3,1:3,1)*(T - prm%T_ref)**0 & ! constant coefficient + + prm%A(1:3,1:3,2)*(T - prm%T_ref)**1 & ! linear coefficient + + prm%A(1:3,1:3,3)*(T - prm%T_ref)**2 & ! quadratic coefficient ) / & (1.0_pReal & - + prm%expansion(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. & - + prm%expansion(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. & - + prm%expansion(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. & + + prm%A(1:3,1:3,1)*(T - prm%T_ref)**1 / 1. & + + prm%A(1:3,1:3,2)*(T - prm%T_ref)**2 / 2. & + + prm%A(1:3,1:3,3)*(T - prm%T_ref)**3 / 3. & ) end associate dLi_dTstar = 0.0_pReal end subroutine kinematics_thermal_expansion_LiAndItsTangent -end module kinematics_thermal_expansion +end submodule kinematics_thermal_expansion diff --git a/src/lattice.f90 b/src/lattice.f90 index 120c58a15..78b3894c0 100644 --- a/src/lattice.f90 +++ b/src/lattice.f90 @@ -394,13 +394,13 @@ module lattice ! SHOULD NOT BE PART OF LATTICE BEGIN real(pReal), dimension(:), allocatable, public, protected :: & lattice_mu, lattice_nu, & - lattice_damageMobility, & - lattice_massDensity, & - lattice_specificHeat + lattice_M, & + lattice_rho, & + lattice_c_p real(pReal), dimension(:,:,:), allocatable, public, protected :: & lattice_C66, & - lattice_thermalConductivity, & - lattice_damageDiffusion + lattice_K, & + lattice_D integer(kind(lattice_UNDEFINED_ID)), dimension(:), allocatable, public, protected :: & lattice_structure ! SHOULD NOT BE PART OF LATTICE END @@ -452,38 +452,42 @@ contains subroutine lattice_init integer :: Nphases, p,i - character(len=pStringLen) :: structure = '' + class(tNode), pointer :: & + phases, & + phase, & + elasticity + + print'(/,a)', ' <<<+- lattice init -+>>>'; flush(IO_STDOUT) - write(6,'(/,a)') ' <<<+- lattice init -+>>>'; flush(6) - - Nphases = size(config_phase) + phases => config_material%get('phase') + Nphases = phases%length allocate(lattice_structure(Nphases),source = lattice_UNDEFINED_ID) allocate(lattice_C66(6,6,Nphases), source=0.0_pReal) - allocate(lattice_thermalConductivity (3,3,Nphases), source=0.0_pReal) - allocate(lattice_damageDiffusion (3,3,Nphases), source=0.0_pReal) + allocate(lattice_K (3,3,Nphases), source=0.0_pReal) + allocate(lattice_D (3,3,Nphases), source=0.0_pReal) - allocate(lattice_damageMobility,& - lattice_massDensity,lattice_specificHeat, & + allocate(lattice_M,& + lattice_rho,lattice_c_p, & lattice_mu, lattice_nu,& source=[(0.0_pReal,i=1,Nphases)]) - do p = 1, size(config_phase) + do p = 1, phases%length + phase => phases%get(p) + elasticity => phase%get('elasticity') + lattice_C66(1,1,p) = elasticity%get_asFloat('C_11') + lattice_C66(1,2,p) = elasticity%get_asFloat('C_12') - lattice_C66(1,1,p) = config_phase(p)%getFloat('c11') - lattice_C66(1,2,p) = config_phase(p)%getFloat('c12') + lattice_C66(1,3,p) = elasticity%get_asFloat('C_13',defaultVal=0.0_pReal) + lattice_C66(2,2,p) = elasticity%get_asFloat('C_22',defaultVal=0.0_pReal) + lattice_C66(2,3,p) = elasticity%get_asFloat('C_23',defaultVal=0.0_pReal) + lattice_C66(3,3,p) = elasticity%get_asFloat('C_33',defaultVal=0.0_pReal) + lattice_C66(4,4,p) = elasticity%get_asFloat('C_44',defaultVal=0.0_pReal) + lattice_C66(5,5,p) = elasticity%get_asFloat('C_55',defaultVal=0.0_pReal) + lattice_C66(6,6,p) = elasticity%get_asFloat('C_66',defaultVal=0.0_pReal) - lattice_C66(1,3,p) = config_phase(p)%getFloat('c13',defaultVal=0.0_pReal) - lattice_C66(2,2,p) = config_phase(p)%getFloat('c22',defaultVal=0.0_pReal) - lattice_C66(2,3,p) = config_phase(p)%getFloat('c23',defaultVal=0.0_pReal) - lattice_C66(3,3,p) = config_phase(p)%getFloat('c33',defaultVal=0.0_pReal) - lattice_C66(4,4,p) = config_phase(p)%getFloat('c44',defaultVal=0.0_pReal) - lattice_C66(5,5,p) = config_phase(p)%getFloat('c55',defaultVal=0.0_pReal) - lattice_C66(6,6,p) = config_phase(p)%getFloat('c66',defaultVal=0.0_pReal) - - structure = config_phase(p)%getString('lattice_structure') - select case(trim(structure)) + select case(phase%get_asString('lattice')) case('iso') lattice_structure(p) = lattice_ISO_ID case('fcc') @@ -497,10 +501,10 @@ subroutine lattice_init case('ort') lattice_structure(p) = lattice_ORT_ID case default - call IO_error(130,ext_msg='lattice_init: '//trim(structure)) + call IO_error(130,ext_msg='lattice_init: '//phase%get_asString('lattice')) end select - lattice_C66(1:6,1:6,p) = applyLatticeSymmetryC66(lattice_C66(1:6,1:6,p),structure) + lattice_C66(1:6,1:6,p) = applyLatticeSymmetryC66(lattice_C66(1:6,1:6,p),phase%get_asString('lattice')) lattice_mu(p) = equivalent_mu(lattice_C66(1:6,1:6,p),'voigt') lattice_nu(p) = equivalent_nu(lattice_C66(1:6,1:6,p),'voigt') @@ -513,23 +517,25 @@ subroutine lattice_init ! SHOULD NOT BE PART OF LATTICE BEGIN - lattice_thermalConductivity(1,1,p) = config_phase(p)%getFloat('thermal_conductivity11',defaultVal=0.0_pReal) - lattice_thermalConductivity(2,2,p) = config_phase(p)%getFloat('thermal_conductivity22',defaultVal=0.0_pReal) - lattice_thermalConductivity(3,3,p) = config_phase(p)%getFloat('thermal_conductivity33',defaultVal=0.0_pReal) - lattice_thermalConductivity(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_thermalConductivity(1:3,1:3,p),structure) + lattice_K(1,1,p) = phase%get_asFloat('K_11',defaultVal=0.0_pReal) + lattice_K(2,2,p) = phase%get_asFloat('K_22',defaultVal=0.0_pReal) + lattice_K(3,3,p) = phase%get_asFloat('K_33',defaultVal=0.0_pReal) + lattice_K(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_K(1:3,1:3,p), & + phase%get_asString('lattice')) - lattice_specificHeat(p) = config_phase(p)%getFloat('specific_heat',defaultVal=0.0_pReal) - lattice_massDensity(p) = config_phase(p)%getFloat('mass_density', defaultVal=0.0_pReal) + lattice_c_p(p) = phase%get_asFloat('c_p', defaultVal=0.0_pReal) + lattice_rho(p) = phase%get_asFloat('rho', defaultVal=0.0_pReal) - lattice_DamageDiffusion(1,1,p) = config_phase(p)%getFloat('damage_diffusion11',defaultVal=0.0_pReal) - lattice_DamageDiffusion(2,2,p) = config_phase(p)%getFloat('damage_diffusion22',defaultVal=0.0_pReal) - lattice_DamageDiffusion(3,3,p) = config_phase(p)%getFloat('damage_diffusion33',defaultVal=0.0_pReal) - lattice_DamageDiffusion(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_DamageDiffusion(1:3,1:3,p),structure) + lattice_D(1,1,p) = phase%get_asFloat('D_11',defaultVal=0.0_pReal) + lattice_D(2,2,p) = phase%get_asFloat('D_22',defaultVal=0.0_pReal) + lattice_D(3,3,p) = phase%get_asFloat('D_33',defaultVal=0.0_pReal) + lattice_D(1:3,1:3,p) = lattice_applyLatticeSymmetry33(lattice_D(1:3,1:3,p), & + phase%get_asString('lattice')) - lattice_DamageMobility(p) = config_phase(p)%getFloat('damage_mobility',defaultVal=0.0_pReal) + lattice_M(p) = phase%get_asFloat('M',defaultVal=0.0_pReal) ! SHOULD NOT BE PART OF LATTICE END - call unitTest + call selfTest enddo @@ -732,7 +738,7 @@ function lattice_nonSchmidMatrix(Nslip,nonSchmidCoefficients,sense) result(nonSc type(rotation) :: R integer :: i - if (abs(sense) /= 1) call IO_error(0,ext_msg='lattice_nonSchmidMatrix') + if (abs(sense) /= 1) error stop 'Sense in lattice_nonSchmidMatrix' coordinateSystem = buildCoordinateSystem(Nslip,BCC_NSLIPSYSTEM,BCC_SYSTEMSLIP,& 'bcc',0.0_pReal) @@ -1436,6 +1442,7 @@ function lattice_SchmidMatrix_slip(Nslip,structure,cOverA) result(SchmidMatrix) NslipMax = BCT_NSLIPSYSTEM slipSystems = BCT_SYSTEMSLIP case default + allocate(NslipMax(0)) call IO_error(137,ext_msg='lattice_SchmidMatrix_slip: '//trim(structure)) end select @@ -1485,6 +1492,7 @@ function lattice_SchmidMatrix_twin(Ntwin,structure,cOverA) result(SchmidMatrix) NtwinMax = HEX_NTWINSYSTEM twinSystems = HEX_SYSTEMTWIN case default + allocate(NtwinMax(0)) call IO_error(137,ext_msg='lattice_SchmidMatrix_twin: '//trim(structure)) end select @@ -1564,6 +1572,7 @@ function lattice_SchmidMatrix_cleavage(Ncleavage,structure,cOverA) result(Schmid NcleavageMax = BCC_NCLEAVAGESYSTEM cleavageSystems = BCC_SYSTEMCLEAVAGE case default + allocate(NcleavageMax(0)) call IO_error(137,ext_msg='lattice_SchmidMatrix_cleavage: '//trim(structure)) end select @@ -1919,6 +1928,7 @@ function coordinateSystem_slip(Nslip,structure,cOverA) result(coordinateSystem) NslipMax = BCT_NSLIPSYSTEM slipSystems = BCT_SYSTEMSLIP case default + allocate(NslipMax(0)) call IO_error(137,ext_msg='coordinateSystem_slip: '//trim(structure)) end select @@ -2289,9 +2299,9 @@ end function equivalent_mu !-------------------------------------------------------------------------------------------------- -!> @brief check correctness of some lattice functions +!> @brief Check correctness of some lattice functions. !-------------------------------------------------------------------------------------------------- -subroutine unitTest +subroutine selfTest real(pReal), dimension(:,:,:), allocatable :: CoSy real(pReal), dimension(:,:), allocatable :: system @@ -2304,23 +2314,20 @@ subroutine unitTest system = reshape([1.0_pReal+r(1),0.0_pReal,0.0_pReal, 0.0_pReal,1.0_pReal+r(2),0.0_pReal],[6,1]) CoSy = buildCoordinateSystem([1],[1],system,'fcc',0.0_pReal) - - if(any(dNeq(CoSy(1:3,1:3,1),math_I3))) & - call IO_error(0) + if(any(dNeq(CoSy(1:3,1:3,1),math_I3))) error stop 'buildCoordinateSystem' call random_number(C) C(1,1) = C(1,1) + 1.0_pReal C = applyLatticeSymmetryC66(C,'iso') - if(dNeq(C(6,6),equivalent_mu(C,'voigt'),1.0e-12_pReal)) & - call IO_error(0,ext_msg='equivalent_mu/voigt') - if(dNeq(C(6,6),equivalent_mu(C,'voigt'),1.0e-12_pReal)) & - call IO_error(0,ext_msg='equivalent_mu/reuss') + if(dNeq(C(6,6),equivalent_mu(C,'voigt'),1.0e-12_pReal)) error stop 'equivalent_mu/voigt' + if(dNeq(C(6,6),equivalent_mu(C,'voigt'),1.0e-12_pReal)) error stop 'equivalent_mu/reuss' + lambda = C(1,2) if(dNeq(lambda*0.5_pReal/(lambda+equivalent_mu(C,'voigt')),equivalent_nu(C,'voigt'),1.0e-12_pReal)) & - call IO_error(0,ext_msg='equivalent_nu/voigt') + error stop 'equivalent_nu/voigt' if(dNeq(lambda*0.5_pReal/(lambda+equivalent_mu(C,'reuss')),equivalent_nu(C,'reuss'),1.0e-12_pReal)) & - call IO_error(0,ext_msg='equivalent_nu/reuss') + error stop 'equivalent_nu/reuss' -end subroutine unitTest +end subroutine selfTest end module lattice diff --git a/src/list.f90 b/src/list.f90 deleted file mode 100644 index 1d1bd5fff..000000000 --- a/src/list.f90 +++ /dev/null @@ -1,453 +0,0 @@ -!------------------------------------------------------------------------------------------------- -!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH -!> @brief linked list -!-------------------------------------------------------------------------------------------------- -module list - use prec - use IO - - implicit none - private - type, private :: tPartitionedString - character(len=:), allocatable :: val - integer, dimension(:), allocatable :: pos - end type tPartitionedString - - type, public :: tPartitionedStringList - type(tPartitionedString) :: string - type(tPartitionedStringList), pointer :: next => null() - contains - procedure :: add => add - procedure :: show => show - procedure :: free => free - - ! currently, a finalize is needed for all shapes of tPartitionedStringList. - ! with Fortran 2015, we can define one recursive elemental function - ! https://software.intel.com/en-us/forums/intel-visual-fortran-compiler-for-windows/topic/543326 - final :: finalize, & - finalizeArray - - procedure :: keyExists => keyExists - procedure :: countKeys => countKeys - - procedure :: getFloat => getFloat - procedure :: getInt => getInt - procedure :: getString => getString - - procedure :: getFloats => getFloats - procedure :: getInts => getInts - procedure :: getStrings => getStrings - - end type tPartitionedStringList - -contains - -!-------------------------------------------------------------------------------------------------- -!> @brief add element -!> @details Adds a string together with the start/end position of chunks in this string. The new -!! element is added at the end of the list. Empty strings are not added. All strings are converted -!! to lower case. The data is not stored in the new element but in the current. -!-------------------------------------------------------------------------------------------------- -subroutine add(this,string) - - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: string - type(tPartitionedStringList), pointer :: new, temp - - if (IO_isBlank(string)) return - - allocate(new) - temp => this - do while (associated(temp%next)) - temp => temp%next - enddo - temp%string%val = IO_lc (trim(string)) - temp%string%pos = IO_stringPos(trim(string)) - temp%next => new - -end subroutine add - - -!-------------------------------------------------------------------------------------------------- -!> @brief prints all elements -!> @details Strings are printed in order of insertion (FIFO) -!-------------------------------------------------------------------------------------------------- -subroutine show(this) - - class(tPartitionedStringList), target, intent(in) :: this - type(tPartitionedStringList), pointer :: item - - item => this - do while (associated(item%next)) - write(6,'(a)') ' '//trim(item%string%val) - item => item%next - enddo - -end subroutine show - - -!-------------------------------------------------------------------------------------------------- -!> @brief empties list and frees associated memory -!> @details explicit interface to reset list. Triggers final statement (and following chain reaction) -!-------------------------------------------------------------------------------------------------- -subroutine free(this) - - class(tPartitionedStringList), intent(inout) :: this - - if(associated(this%next)) deallocate(this%next) - -end subroutine free - - -!-------------------------------------------------------------------------------------------------- -!> @brief empties list and frees associated memory -!> @details called when variable goes out of scope. Triggers chain reaction for list -!-------------------------------------------------------------------------------------------------- -recursive subroutine finalize(this) - - type(tPartitionedStringList), intent(inout) :: this - - if(associated(this%next)) deallocate(this%next) - -end subroutine finalize - - -!-------------------------------------------------------------------------------------------------- -!> @brief cleans entire array of linke lists -!> @details called when variable goes out of scope and deallocates the list at each array entry -!-------------------------------------------------------------------------------------------------- -subroutine finalizeArray(this) - - integer :: i - type(tPartitionedStringList), intent(inout), dimension(:) :: this - type(tPartitionedStringList), pointer :: temp ! bug in Gfortran? - - do i=1, size(this) - if (associated(this(i)%next)) then - temp => this(i)%next - !deallocate(this(i)) !internal compiler error: in gfc_build_final_call, at fortran/trans.c:975 - deallocate(temp) - endif - enddo - -end subroutine finalizeArray - - -!-------------------------------------------------------------------------------------------------- -!> @brief reports wether a given key (string value at first position) exists in the list -!-------------------------------------------------------------------------------------------------- -logical function keyExists(this,key) - - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: key - type(tPartitionedStringList), pointer :: item - - keyExists = .false. - - item => this - do while (associated(item%next) .and. .not. keyExists) - keyExists = trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key) - item => item%next - enddo - -end function keyExists - - -!-------------------------------------------------------------------------------------------------- -!> @brief count number of key appearances -!> @details traverses list and counts each occurrence of specified key -!-------------------------------------------------------------------------------------------------- -integer function countKeys(this,key) - - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: key - type(tPartitionedStringList), pointer :: item - - countKeys = 0 - - item => this - do while (associated(item%next)) - if (trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key)) & - countKeys = countKeys + 1 - item => item%next - enddo - -end function countKeys - - -!-------------------------------------------------------------------------------------------------- -!> @brief gets float value of for a given key from a linked list -!> @details gets the last value if the key occurs more than once. If key is not found exits with -!! error unless default is given -!-------------------------------------------------------------------------------------------------- -real(pReal) function getFloat(this,key,defaultVal) - - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: key - real(pReal), intent(in), optional :: defaultVal - type(tPartitionedStringList), pointer :: item - logical :: found - - getFloat = huge(1.0) ! suppress warning about unitialized value - found = present(defaultVal) - if (found) getFloat = defaultVal - - item => this - do while (associated(item%next)) - if (trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key)) then - found = .true. - if (item%string%pos(1) < 2) call IO_error(143,ext_msg=key) - getFloat = IO_FloatValue(item%string%val,item%string%pos,2) - endif - item => item%next - enddo - - if (.not. found) call IO_error(140,ext_msg=key) - -end function getFloat - - -!-------------------------------------------------------------------------------------------------- -!> @brief gets integer value of for a given key from a linked list -!> @details gets the last value if the key occurs more than once. If key is not found exits with -!! error unless default is given -!-------------------------------------------------------------------------------------------------- -integer function getInt(this,key,defaultVal) - - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: key - integer, intent(in), optional :: defaultVal - type(tPartitionedStringList), pointer :: item - logical :: found - - getInt = huge(1) ! suppress warning about unitialized value - found = present(defaultVal) - if (found) getInt = defaultVal - - item => this - do while (associated(item%next)) - if (trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key)) then - found = .true. - if (item%string%pos(1) < 2) call IO_error(143,ext_msg=key) - getInt = IO_IntValue(item%string%val,item%string%pos,2) - endif - item => item%next - enddo - - if (.not. found) call IO_error(140,ext_msg=key) - -end function getInt - - -!-------------------------------------------------------------------------------------------------- -!> @brief gets string value of for a given key from a linked list -!> @details gets the last value if the key occurs more than once. If key is not found exits with -!! error unless default is given. If raw is true, the the complete string is returned, otherwise -!! the individual chunks are returned -!-------------------------------------------------------------------------------------------------- -character(len=pStringLen) function getString(this,key,defaultVal,raw) - - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: key - character(len=*), intent(in), optional :: defaultVal - logical, intent(in), optional :: raw - type(tPartitionedStringList), pointer :: item - logical :: found, & - whole - if (present(raw)) then - whole = raw - else - whole = .false. - endif - - found = present(defaultVal) - if (found) then - if (len_trim(defaultVal) > len(getString)) call IO_error(0,ext_msg='getString') - getString = trim(defaultVal) - endif - - item => this - do while (associated(item%next)) - if (trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key)) then - found = .true. - if (item%string%pos(1) < 2) call IO_error(143,ext_msg=key) - - if (whole) then - getString = trim(item%string%val(item%string%pos(4):)) ! raw string starting a second chunk - else - getString = IO_StringValue(item%string%val,item%string%pos,2) - endif - endif - item => item%next - enddo - - if (.not. found) call IO_error(140,ext_msg=key) - -end function getString - - -!-------------------------------------------------------------------------------------------------- -!> @brief gets array of float values of for a given key from a linked list -!> @details for cumulative keys, "()", values from all occurrences are return. Otherwise only all -!! values from the last occurrence. If key is not found exits with error unless default is given. -!-------------------------------------------------------------------------------------------------- -function getFloats(this,key,defaultVal,requiredSize) - - real(pReal), dimension(:), allocatable :: getFloats - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: key - real(pReal), dimension(:), intent(in), optional :: defaultVal - integer, intent(in), optional :: requiredSize - type(tPartitionedStringList), pointer :: item - integer :: i - logical :: found, & - cumulative - - cumulative = (key(1:1) == '(' .and. key(len_trim(key):len_trim(key)) == ')') - found = .false. - - allocate(getFloats(0)) - - item => this - do while (associated(item%next)) - if (trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key)) then - found = .true. - if (.not. cumulative) getFloats = [real(pReal)::] - if (item%string%pos(1) < 2) call IO_error(143,ext_msg=key) - do i = 2, item%string%pos(1) - getFloats = [getFloats,IO_FloatValue(item%string%val,item%string%pos,i)] - enddo - endif - item => item%next - enddo - - if (.not. found) then - if (present(defaultVal)) then; getFloats = defaultVal; else; call IO_error(140,ext_msg=key); endif - endif - if (present(requiredSize)) then - if(requiredSize /= size(getFloats)) call IO_error(146,ext_msg=key) - endif - -end function getFloats - - -!-------------------------------------------------------------------------------------------------- -!> @brief gets array of integer values of for a given key from a linked list -!> @details for cumulative keys, "()", values from all occurrences are return. Otherwise only all -!! values from the last occurrence. If key is not found exits with error unless default is given. -!-------------------------------------------------------------------------------------------------- -function getInts(this,key,defaultVal,requiredSize) - - integer, dimension(:), allocatable :: getInts - class(tPartitionedStringList), target, intent(in) :: this - character(len=*), intent(in) :: key - integer, dimension(:), intent(in), optional :: defaultVal - integer, intent(in), optional :: requiredSize - type(tPartitionedStringList), pointer :: item - integer :: i - logical :: found, & - cumulative - - cumulative = (key(1:1) == '(' .and. key(len_trim(key):len_trim(key)) == ')') - found = .false. - - allocate(getInts(0)) - - item => this - do while (associated(item%next)) - if (trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key)) then - found = .true. - if (.not. cumulative) getInts = [integer::] - if (item%string%pos(1) < 2) call IO_error(143,ext_msg=key) - do i = 2, item%string%pos(1) - getInts = [getInts,IO_IntValue(item%string%val,item%string%pos,i)] - enddo - endif - item => item%next - enddo - - if (.not. found) then - if (present(defaultVal)) then; getInts = defaultVal; else; call IO_error(140,ext_msg=key); endif - endif - if (present(requiredSize)) then - if(requiredSize /= size(getInts)) call IO_error(146,ext_msg=key) - endif - -end function getInts - - -!-------------------------------------------------------------------------------------------------- -!> @brief gets array of string values of for a given key from a linked list -!> @details for cumulative keys, "()", values from all occurrences are return. Otherwise only all -!! values from the last occurrence. If key is not found exits with error unless default is given. -!! If raw is true, the the complete string is returned, otherwise the individual chunks are returned -!-------------------------------------------------------------------------------------------------- -function getStrings(this,key,defaultVal,raw) - - character(len=pStringLen),dimension(:), allocatable :: getStrings - class(tPartitionedStringList),target, intent(in) :: this - character(len=*), intent(in) :: key - character(len=*), dimension(:), intent(in), optional :: defaultVal - logical, intent(in), optional :: raw - type(tPartitionedStringList), pointer :: item - character(len=pStringLen) :: str - integer :: i - logical :: found, & - whole, & - cumulative - - cumulative = (key(1:1) == '(' .and. key(len_trim(key):len_trim(key)) == ')') - if (present(raw)) then - whole = raw - else - whole = .false. - endif - found = .false. - - item => this - do while (associated(item%next)) - if (trim(IO_stringValue(item%string%val,item%string%pos,1)) == trim(key)) then - found = .true. - if (allocated(getStrings) .and. .not. cumulative) deallocate(getStrings) - if (item%string%pos(1) < 2) call IO_error(143,ext_msg=key) - - notAllocated: if (.not. allocated(getStrings)) then - if (whole) then - str = item%string%val(item%string%pos(4):) - getStrings = [str] - else - str = IO_StringValue(item%string%val,item%string%pos,2) - allocate(getStrings(1),source=str) - do i=3,item%string%pos(1) - str = IO_StringValue(item%string%val,item%string%pos,i) - getStrings = [getStrings,str] - enddo - endif - else notAllocated - if (whole) then - str = item%string%val(item%string%pos(4):) - getStrings = [getStrings,str] - else - do i=2,item%string%pos(1) - str = IO_StringValue(item%string%val,item%string%pos,i) - getStrings = [getStrings,str] - enddo - endif - endif notAllocated - endif - item => item%next - enddo - - if (.not. found) then - if (present(defaultVal)) then - if (len(defaultVal) > len(getStrings)) call IO_error(0,ext_msg='getStrings') - getStrings = defaultVal - else - call IO_error(140,ext_msg=key) - endif - endif - -end function getStrings - - -end module list diff --git a/src/marc/discretization_marc.f90 b/src/marc/discretization_marc.f90 index 0221ad693..9696572e5 100644 --- a/src/marc/discretization_marc.f90 +++ b/src/marc/discretization_marc.f90 @@ -11,8 +11,7 @@ module discretization_marc use math use DAMASK_interface use IO - use debug - use numerics + use config use FEsolving use element use discretization @@ -21,46 +20,44 @@ module discretization_marc implicit none private - + type tCellNodeDefinition integer, dimension(:,:), allocatable :: parents integer, dimension(:,:), allocatable :: weights end type tCellNodeDefinition - + type(tCellNodeDefinition), dimension(:), allocatable :: cellNodeDefinition - + real(pReal), public, protected :: & mesh_unitlength !< physical length of one unit in mesh - + integer, dimension(:), allocatable, public :: & - mesh_FEM2DAMASK_elem, & !< DAMASK element ID for Marc element ID - mesh_FEM2DAMASK_node !< DAMASK node ID for Marc node ID + mesh_FEM2DAMASK_elem, & !< DAMASK element ID for Marc element ID + mesh_FEM2DAMASK_node !< DAMASK node ID for Marc node ID public :: & discretization_marc_init - + contains !-------------------------------------------------------------------------------------------------- !> @brief initializes the mesh by calling all necessary private routines the mesh module !! Order and routines strongly depend on type of solver !-------------------------------------------------------------------------------------------------- -subroutine discretization_marc_init(ip,el) +subroutine discretization_marc_init - integer, intent(in) :: el, ip - real(pReal), dimension(:,:), allocatable :: & node0_elem, & !< node x,y,z coordinates (initially!) node0_cell type(tElement) :: elem integer, dimension(:), allocatable :: & - microstructureAt, & - homogenizationAt + materialAt integer:: & Nnodes, & !< total number of nodes in the mesh - Nelems !< total number of elements in the mesh - + Nelems, & !< total number of elements in the mesh + debug_e, debug_i + real(pReal), dimension(:,:), allocatable :: & IP_reshaped integer,dimension(:,:,:), allocatable :: & @@ -70,22 +67,30 @@ subroutine discretization_marc_init(ip,el) real(pReal), dimension(:,:,:,:),allocatable :: & unscaledNormals - write(6,'(/,a)') ' <<<+- mesh init -+>>>'; flush(6) - - mesh_unitlength = numerics_unitlength ! set physical extent of a length unit in mesh + class(tNode), pointer :: & + num_commercialFEM - call inputRead(elem,node0_elem,connectivity_elem,microstructureAt,homogenizationAt) + print'(/,a)', ' <<<+- discretization_marc init -+>>>'; flush(6) + +!--------------------------------------------------------------------------------- +! read debug parameters + debug_e = config_debug%get_asInt('element',defaultVal=1) + debug_i = config_debug%get_asInt('integrationpoint',defaultVal=1) + +!-------------------------------------------------------------------------------- +! read numerics parameter and do sanity check + num_commercialFEM => config_numerics%get('commercialFEM',defaultVal = emptyDict) + mesh_unitlength = num_commercialFEM%get_asFloat('unitlength',defaultVal=1.0_pReal) ! set physical extent of a length unit in mesh + if (mesh_unitlength <= 0.0_pReal) call IO_error(301,ext_msg='unitlength') + + call inputRead(elem,node0_elem,connectivity_elem,materialAt) nElems = size(connectivity_elem,2) if (debug_e < 1 .or. debug_e > nElems) call IO_error(602,ext_msg='element') if (debug_i < 1 .or. debug_i > elem%nIPs) call IO_error(602,ext_msg='IP') - + FEsolving_execElem = [1,nElems] FEsolving_execIP = [1,elem%nIPs] - - allocate(calcMode(elem%nIPs,nElems),source=.false.) ! pretend to have collected what first call is asking (F = I) - calcMode(ip,mesh_FEM2DAMASK_elem(el)) = .true. ! first ip,el needs to be already pingponged to "calc" - allocate(cellNodeDefinition(elem%nNodes-1)) allocate(connectivity_cell(elem%NcellNodesPerCell,elem%nIPs,nElems)) @@ -98,10 +103,10 @@ subroutine discretization_marc_init(ip,el) call buildIPcoordinates(IP_reshaped,reshape(connectivity_cell,[elem%NcellNodesPerCell,& elem%nIPs*nElems]),node0_cell) - call discretization_init(microstructureAt,homogenizationAt,& + call discretization_init(materialAt,& IP_reshaped,& node0_cell) - + call writeGeometry(elem,connectivity_elem,& reshape(connectivity_cell,[elem%NcellNodesPerCell,elem%nIPs*nElems]),& node0_cell,IP_reshaped) @@ -112,8 +117,9 @@ subroutine discretization_marc_init(ip,el) unscaledNormals = IPareaNormal(elem,nElems,connectivity_cell,node0_cell) call geometry_plastic_nonlocal_setIParea(norm2(unscaledNormals,1)) call geometry_plastic_nonlocal_setIPareaNormal(unscaledNormals/spread(norm2(unscaledNormals,1),1,3)) + call geometry_plastic_nonlocal_setIPneighborhood(IPneighborhood(elem,connectivity_cell)) call geometry_plastic_nonlocal_results - + end subroutine discretization_marc_init @@ -132,7 +138,7 @@ subroutine writeGeometry(elem, & real(pReal), dimension(:,:), intent(in) :: & coordinates_nodes, & coordinates_points - + integer, dimension(:,:), allocatable :: & connectivity_temp real(pReal), dimension(:,:), allocatable :: & @@ -140,24 +146,24 @@ subroutine writeGeometry(elem, & call results_openJobFile call results_closeGroup(results_addGroup('geometry')) - + connectivity_temp = connectivity_elem call results_writeDataset('geometry',connectivity_temp,'T_e',& 'connectivity of the elements','-') - + connectivity_temp = connectivity_cell call results_writeDataset('geometry',connectivity_temp,'T_c', & 'connectivity of the cells','-') call results_addAttribute('VTK_TYPE',elem%vtkType,'geometry/T_c') - + coordinates_temp = coordinates_nodes call results_writeDataset('geometry',coordinates_temp,'x_n', & 'initial coordinates of the nodes','m') - + coordinates_temp = coordinates_points call results_writeDataset('geometry',coordinates_temp,'x_p', & 'initial coordinates of the materialpoints','m') - + call results_closeJobFile end subroutine writeGeometry @@ -166,7 +172,7 @@ end subroutine writeGeometry !-------------------------------------------------------------------------------------------------- !> @brief Read mesh from marc input file !-------------------------------------------------------------------------------------------------- -subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt,homogenizationAt) +subroutine inputRead(elem,node0_elem,connectivity_elem,materialAt) type(tElement), intent(out) :: elem real(pReal), dimension(:,:), allocatable, intent(out) :: & @@ -174,9 +180,8 @@ subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt,homogeni integer, dimension(:,:), allocatable, intent(out) :: & connectivity_elem integer, dimension(:), allocatable, intent(out) :: & - microstructureAt, & - homogenizationAt - + materialAt + integer :: & fileFormatVersion, & hypoelasticTableStyle, & @@ -186,13 +191,13 @@ subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt,homogeni integer, dimension(:), allocatable :: & matNumber !< material numbers for hypoelastic material character(len=pStringLen), dimension(:), allocatable :: inputFile !< file content, separated per lines - + character(len=pStringLen), dimension(:), allocatable :: & nameElemSet integer, dimension(:,:), allocatable :: & mapElemSet !< list of elements in elementSet - inputFile = IO_read_ASCII(trim(getSolverJobName())//trim(InputFileExtension)) + inputFile = IO_readlines(trim(getSolverJobName())//trim(InputFileExtension)) call inputRead_fileFormat(fileFormatVersion, & inputFile) call inputRead_tableStyles(initialcondTableStyle,hypoelasticTableStyle, & @@ -202,8 +207,8 @@ subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt,homogeni hypoelasticTableStyle,inputFile) call inputRead_NnodesAndElements(nNodes,nElems,& inputFile) - - + + call inputRead_mapElemSets(nameElemSet,mapElemSet,& inputFile) @@ -221,9 +226,9 @@ subroutine inputRead(elem,node0_elem,connectivity_elem,microstructureAt,homogeni connectivity_elem = inputRead_connectivityElem(nElems,elem%nNodes,inputFile) - call inputRead_microstructureAndHomogenization(microstructureAt,homogenizationAt, & - nElems,elem%nNodes,nameElemSet,mapElemSet,& - initialcondTableStyle,inputFile) + call inputRead_material(materialAt, & + nElems,elem%nNodes,nameElemSet,mapElemSet,& + initialcondTableStyle,inputFile) end subroutine inputRead @@ -232,13 +237,13 @@ end subroutine inputRead !> @brief Figures out version of Marc input file format !-------------------------------------------------------------------------------------------------- subroutine inputRead_fileFormat(fileFormat,fileContent) - + integer, intent(out) :: fileFormat character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines - + integer, allocatable, dimension(:) :: chunkPos integer :: l - + do l = 1, size(fileContent) chunkPos = IO_stringPos(fileContent(l)) if(chunkPos(1) < 2) cycle @@ -255,13 +260,13 @@ end subroutine inputRead_fileFormat !> @brief Figures out table styles for initial cond and hypoelastic !-------------------------------------------------------------------------------------------------- subroutine inputRead_tableStyles(initialcond,hypoelastic,fileContent) - + integer, intent(out) :: initialcond, hypoelastic character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines integer, allocatable, dimension(:) :: chunkPos integer :: l - + initialcond = 0 hypoelastic = 0 @@ -283,7 +288,7 @@ end subroutine inputRead_tableStyles !-------------------------------------------------------------------------------------------------- subroutine inputRead_matNumber(matNumber, & tableStyle,fileContent) - + integer, allocatable, dimension(:), intent(out) :: matNumber integer, intent(in) :: tableStyle character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines @@ -319,7 +324,7 @@ end subroutine inputRead_matNumber !-------------------------------------------------------------------------------------------------- subroutine inputRead_NnodesAndElements(nNodes,nElems,& fileContent) - + integer, intent(out) :: nNodes, nElems character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines @@ -348,7 +353,7 @@ end subroutine inputRead_NnodesAndElements !-------------------------------------------------------------------------------------------------- subroutine inputRead_NelemSets(nElemSets,maxNelemInSet,& fileContent) - + integer, intent(out) :: nElemSets, maxNelemInSet character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines @@ -394,7 +399,7 @@ end subroutine inputRead_NelemSets !-------------------------------------------------------------------------------------------------- subroutine inputRead_mapElemSets(nameElemSet,mapElemSet,& fileContent) - + character(len=pStringLen), dimension(:), allocatable, intent(out) :: nameElemSet integer, dimension(:,:), allocatable, intent(out) :: mapElemSet character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines @@ -427,7 +432,7 @@ end subroutine inputRead_mapElemSets !-------------------------------------------------------------------------------------------------- subroutine inputRead_mapElems(FEM2DAMASK, & nElems,nNodesPerElem,fileContent) - + integer, allocatable, dimension(:), intent(out) :: FEM2DAMASK integer, intent(in) :: nElems, & !< number of elements @@ -485,8 +490,8 @@ subroutine inputRead_mapNodes(FEM2DAMASK, & chunkPos = IO_stringPos(fileContent(l)) if(chunkPos(1) < 1) cycle if(IO_lc(IO_stringValue(fileContent(l),chunkPos,1)) == 'coordinates') then + chunkPos = [1,1,10] do i = 1,nNodes - chunkPos = IO_stringPos(fileContent(l+1+i)) map_unsorted(:,i) = [IO_intValue(fileContent(l+1+i),chunkPos,1),i] enddo exit @@ -508,10 +513,10 @@ end subroutine inputRead_mapNodes subroutine inputRead_elemNodes(nodes, & nNode,fileContent) - real(pReal), allocatable, dimension(:,:), intent(out) :: nodes + real(pReal), allocatable, dimension(:,:), intent(out) :: nodes integer, intent(in) :: nNode character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines - + integer, allocatable, dimension(:) :: chunkPos integer :: i,j,m,l @@ -521,8 +526,8 @@ subroutine inputRead_elemNodes(nodes, & chunkPos = IO_stringPos(fileContent(l)) if(chunkPos(1) < 1) cycle if(IO_lc(IO_stringValue(fileContent(l),chunkPos,1)) == 'coordinates') then + chunkPos = [4,1,10,11,30,31,50,51,70] do i=1,nNode - chunkPos = IO_stringPos(fileContent(l+1+i)) m = mesh_FEM2DAMASK_node(IO_intValue(fileContent(l+1+i),chunkPos,1)) do j = 1,3 nodes(j,m) = mesh_unitlength * IO_floatValue(fileContent(l+1+i),chunkPos,j+1) @@ -573,15 +578,15 @@ subroutine inputRead_elemType(elem, & endif enddo - contains + contains !-------------------------------------------------------------------------------------------------- !> @brief mapping of Marc element types to internal representation !-------------------------------------------------------------------------------------------------- integer function mapElemtype(what) - + character(len=*), intent(in) :: what - + select case (IO_lc(what)) case ( '6') mapElemtype = 1 ! Two-dimensional Plane Strain Triangle @@ -623,20 +628,20 @@ end subroutine inputRead_elemType !> @brief Stores node IDs !-------------------------------------------------------------------------------------------------- function inputRead_connectivityElem(nElem,nNodes,fileContent) - + integer, intent(in) :: & nElem, & nNodes !< number of nodes per element character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines - + integer, dimension(nNodes,nElem) :: & inputRead_connectivityElem - + integer, allocatable, dimension(:) :: chunkPos - + integer, dimension(1+nElem) :: contInts integer :: i,k,j,t,e,l,nNodesAlreadyRead - + do l = 1, size(fileContent) chunkPos = IO_stringPos(fileContent(l)) if(chunkPos(1) < 1) cycle @@ -670,14 +675,13 @@ end function inputRead_connectivityElem !-------------------------------------------------------------------------------------------------- -!> @brief Stores homogenization and microstructure ID +!> @brief Store material ID !-------------------------------------------------------------------------------------------------- -subroutine inputRead_microstructureAndHomogenization(microstructureAt,homogenizationAt, & - nElem,nNodes,nameElemSet,mapElemSet,initialcondTableStyle,fileContent) +subroutine inputRead_material(materialAt,& + nElem,nNodes,nameElemSet,mapElemSet,initialcondTableStyle,fileContent) integer, dimension(:), allocatable, intent(out) :: & - microstructureAt, & - homogenizationAt + materialAt integer, intent(in) :: & nElem, & nNodes, & !< number of nodes per element @@ -687,13 +691,12 @@ subroutine inputRead_microstructureAndHomogenization(microstructureAt,homogeniza character(len=*), dimension(:), intent(in) :: fileContent !< file content, separated per lines integer, allocatable, dimension(:) :: chunkPos - + integer, dimension(1+nElem) :: contInts integer :: i,j,t,sv,myVal,e,nNodesAlreadyRead,l,k,m - allocate(microstructureAt(nElem),source=0) - allocate(homogenizationAt(nElem),source=0) + allocate(materialAt(nElem),source=0) do l = 1, size(fileContent) chunkPos = IO_stringPos(fileContent(l)) @@ -703,7 +706,7 @@ subroutine inputRead_microstructureAndHomogenization(microstructureAt,homogeniza k = merge(2,1,initialcondTableStyle == 2) chunkPos = IO_stringPos(fileContent(l+k)) sv = IO_IntValue(fileContent(l+k),chunkPos,1) ! figure state variable index - if( (sv == 2) .or. (sv == 3) ) then ! only state vars 2 and 3 of interest + if( (sv == 2)) then ! state var 2 is used to identify material from material.yaml m = 1 chunkPos = IO_stringPos(fileContent(l+k+m)) do while (scan(IO_stringValue(fileContent(l+k+m),chunkPos,1),'+-',back=.true.)>1) ! is noEfloat value? @@ -712,41 +715,42 @@ subroutine inputRead_microstructureAndHomogenization(microstructureAt,homogeniza contInts = continuousIntValues(fileContent(l+k+m+1:),nElem,nameElemSet,mapElemSet,size(nameElemSet)) ! get affected elements do i = 1,contInts(1) e = mesh_FEM2DAMASK_elem(contInts(1+i)) - if (sv == 2) microstructureAt(e) = myVal - if (sv == 3) homogenizationAt(e) = myVal + materialAt(e) = myVal enddo if (initialcondTableStyle == 0) m = m + 1 enddo endif endif enddo - -end subroutine inputRead_microstructureAndHomogenization + + if(any(materialAt < 1)) call IO_error(180) + +end subroutine inputRead_material !-------------------------------------------------------------------------------------------------- !> @brief Calculates cell node coordinates from element node coordinates !-------------------------------------------------------------------------------------------------- -subroutine buildCells(connectivity_cell,cellNodeDefinition, & - elem,connectivity_elem) +pure subroutine buildCells(connectivity_cell,cellNodeDefinition, & + elem,connectivity_elem) type(tCellNodeDefinition), dimension(:), intent(out) :: cellNodeDefinition ! definition of cell nodes for increasing number of parents integer, dimension(:,:,:),intent(out) :: connectivity_cell - + type(tElement), intent(in) :: elem ! element definition integer, dimension(:,:), intent(in) :: connectivity_elem ! connectivity of the elements - + integer,dimension(:), allocatable :: candidates_local integer,dimension(:,:), allocatable :: parentsAndWeights,candidates_global - + integer :: e, n, c, p, s,i,m,j,nParentNodes,nCellNode,Nelem,candidateID - + Nelem = size(connectivity_elem,2) !--------------------------------------------------------------------------------------------------- ! initialize global connectivity to negative local connectivity connectivity_cell = -spread(elem%cell,3,Nelem) ! local cell node ID - + !--------------------------------------------------------------------------------------------------- ! set connectivity of cell nodes that coincide with FE nodes (defined by 1 parent node) ! and renumber local (negative) to global (positive) node ID @@ -765,7 +769,7 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & !--------------------------------------------------------------------------------------------------- ! set connectivity of cell nodes that are defined by 2,...,nNodes real nodes do nParentNodes = 2, elem%nNodes - + ! get IDs of local cell nodes that are defined by the current number of parent nodes candidates_local = [integer::] do c = 1, elem%NcellNodes @@ -773,11 +777,11 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & candidates_local = [candidates_local,c] enddo s = size(candidates_local) - + if (allocated(candidates_global)) deallocate(candidates_global) allocate(candidates_global(nParentNodes*2+2,s*Nelem)) ! stores parent node ID + weight together with element ID and cellnode id (local) parentsAndWeights = reshape([(0, i = 1,2*nParentNodes)],[nParentNodes,2]) ! (re)allocate - + do e = 1, Nelem do i = 1, size(candidates_local) candidateID = (e-1)*size(candidates_local)+i ! including duplicates, runs to (Nelem*size(candidates_local)) @@ -785,18 +789,18 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & p = 0 do j = 1, size(elem%cellNodeParentNodeWeights(:,c)) if (elem%cellNodeParentNodeWeights(j,c) /= 0) then ! real node 'j' partly defines cell node 'c' - p = p + 1 + p = p + 1 parentsAndWeights(p,1:2) = [connectivity_elem(j,e),elem%cellNodeParentNodeWeights(j,c)] endif enddo ! store (and order) real node IDs and their weights together with the element number and local ID do p = 1, nParentNodes m = maxloc(parentsAndWeights(:,1),1) - + candidates_global(p, candidateID) = parentsAndWeights(m,1) candidates_global(p+nParentNodes, candidateID) = parentsAndWeights(m,2) candidates_global(nParentNodes*2+1:nParentNodes*2+2,candidateID) = [e,c] - + parentsAndWeights(m,1) = -huge(parentsAndWeights(m,1)) ! out of the competition enddo enddo @@ -804,7 +808,7 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & ! sort according to real node IDs + weight (from left to right) call math_sort(candidates_global,sortDim=1) ! sort according to first column - + do p = 2, nParentNodes*2 n = 1 do while(n <= size(candidates_local)*Nelem) @@ -819,11 +823,11 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & n = e+1 enddo enddo - + i = uniqueRows(candidates_global(1:2*nParentNodes,:)) allocate(cellNodeDefinition(nParentNodes-1)%parents(i,nParentNodes)) allocate(cellNodeDefinition(nParentNodes-1)%weights(i,nParentNodes)) - + i = 1 n = 1 do while(n <= size(candidates_local)*Nelem) @@ -839,7 +843,7 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & where (connectivity_cell(:,:,candidates_global(nParentNodes*2+1,n+j)) == -candidates_global(nParentNodes*2+2,n+j)) ! still locally defined connectivity_cell(:,:,candidates_global(nParentNodes*2+1,n+j)) = nCellNode + 1 ! gets current new cell node id end where - + j = j+1 enddo nCellNode = nCellNode + 1 @@ -856,7 +860,7 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & !> @brief count unique rows (same rows need to be stored consecutively) !------------------------------------------------------------------------------------------------ pure function uniqueRows(A) result(u) - + integer, dimension(:,:), intent(in) :: A !< array, rows need to be sorted integer :: & @@ -875,7 +879,7 @@ subroutine buildCells(connectivity_cell,cellNodeDefinition, & u = u+1 r = r+d enddo - + end function uniqueRows end subroutine buildCells @@ -884,15 +888,15 @@ end subroutine buildCells !-------------------------------------------------------------------------------------------------- !> @brief Calculates cell node coordinates from element node coordinates !-------------------------------------------------------------------------------------------------- -subroutine buildCellNodes(node_cell, & - definition,node_elem) +pure subroutine buildCellNodes(node_cell, & + definition,node_elem) real(pReal), dimension(:,:), intent(out) :: node_cell !< cell node coordinates type(tCellNodeDefinition), dimension(:), intent(in) :: definition !< cell node definition (weights and parents) real(pReal), dimension(:,:), intent(in) :: node_elem !< element nodes - + integer :: i, j, k, n - + n = size(node_elem,2) node_cell(:,1:n) = node_elem !< initial nodes coincide with element nodes @@ -907,20 +911,20 @@ subroutine buildCellNodes(node_cell, & node_cell(:,n) = node_cell(:,n)/real(sum(definition(i)%weights(j,:)),pReal) enddo enddo - + end subroutine buildCellNodes !-------------------------------------------------------------------------------------------------- !> @brief Calculates IP coordinates as center of cell !-------------------------------------------------------------------------------------------------- -subroutine buildIPcoordinates(IPcoordinates, & - connectivity_cell,node_cell) +pure subroutine buildIPcoordinates(IPcoordinates, & + connectivity_cell,node_cell) real(pReal), dimension(:,:), intent(out):: IPcoordinates !< cell-center/IP coordinates integer, dimension(:,:), intent(in) :: connectivity_cell !< connectivity for each cell real(pReal), dimension(:,:), intent(in) :: node_cell !< cell node coordinates - + integer :: i, n do i = 1, size(connectivity_cell,2) @@ -931,7 +935,7 @@ subroutine buildIPcoordinates(IPcoordinates, & enddo IPcoordinates(:,i) = IPcoordinates(:,i)/real(size(connectivity_cell,1),pReal) enddo - + end subroutine buildIPcoordinates @@ -940,12 +944,12 @@ end subroutine buildIPcoordinates !> @details The IP volume is calculated differently depending on the cell type. !> 2D cells assume an element depth of 1.0 !--------------------------------------------------------------------------------------------------- -function IPvolume(elem,node,connectivity) - +pure function IPvolume(elem,node,connectivity) + type(tElement), intent(in) :: elem real(pReal), dimension(:,:), intent(in) :: node integer, dimension(:,:,:), intent(in) :: connectivity - + real(pReal), dimension(elem%nIPs,size(connectivity,3)) :: IPvolume real(pReal), dimension(3) :: x0,x1,x2,x3,x4,x5,x6,x7 @@ -998,25 +1002,25 @@ end function IPvolume !-------------------------------------------------------------------------------------------------- !> @brief calculation of IP interface areas !-------------------------------------------------------------------------------------------------- -function IPareaNormal(elem,nElem,connectivity,node) +pure function IPareaNormal(elem,nElem,connectivity,node) type(tElement), intent(in) :: elem integer, intent(in) :: nElem integer, dimension(:,:,:), intent(in) :: connectivity real(pReal), dimension(:,:), intent(in) :: node - + real(pReal), dimension(3,elem%nIPneighbors,elem%nIPs,nElem) :: ipAreaNormal real(pReal), dimension (3,size(elem%cellFace,1)) :: nodePos integer :: e,i,f,n,m - + m = size(elem%cellFace,1) do e = 1,nElem do i = 1,elem%nIPs do f = 1,elem%nIPneighbors nodePos = node(1:3,connectivity(elem%cellface(1:m,f),i,e)) - + select case (elem%cellType) case (1,2) ! 2D 3 or 4 node IPareaNormal(1,f,i,e) = nodePos(2,2) - nodePos(2,1) ! x_normal = y_connectingVector @@ -1026,12 +1030,11 @@ function IPareaNormal(elem,nElem,connectivity,node) IPareaNormal(1:3,f,i,e) = math_cross(nodePos(1:3,2) - nodePos(1:3,1), & nodePos(1:3,3) - nodePos(1:3,1)) case (4) ! 3D 8node - ! for this cell type we get the normal of the quadrilateral face as an average of - ! four normals of triangular subfaces; since the face consists only of two triangles, - ! the sum has to be divided by two; this whole prcedure tries to compensate for - ! probable non-planar cell surfaces + ! Get the normal of the quadrilateral face as the average of four normals of triangular + ! subfaces. Since the face consists only of two triangles, the sum has to be divided + ! by two. This procedure tries to compensate for probable non-planar cell surfaces IPareaNormal(1:3,f,i,e) = 0.0_pReal - do n = 1, m + do n = 1, m IPareaNormal(1:3,f,i,e) = IPareaNormal(1:3,f,i,e) & + math_cross(nodePos(1:3,mod(n+0,m)+1) - nodePos(1:3,n), & nodePos(1:3,mod(n+1,m)+1) - nodePos(1:3,n)) * 0.5_pReal @@ -1044,6 +1047,63 @@ function IPareaNormal(elem,nElem,connectivity,node) end function IPareaNormal +!-------------------------------------------------------------------------------------------------- +!> @brief IP neighborhood +!-------------------------------------------------------------------------------------------------- +function IPneighborhood(elem,connectivity) + + type(tElement), intent(in) :: elem ! definition of the element in use + integer, dimension(:,:,:), intent(in) :: connectivity ! cell connectivity + integer, dimension(3,size(elem%cellFace,2), & + size(connectivity,2),size(connectivity,3)) :: IPneighborhood ! neighboring IPs as [element ID, IP ID, face ID] + + integer, dimension(size(elem%cellFace,1)+3,& + size(elem%cellFace,2)*size(connectivity,2)*size(connectivity,3)) :: face + integer, dimension(size(connectivity,1)) :: myConnectivity + integer, dimension(size(elem%cellFace,1)) :: face_unordered + integer :: e,i,f,n,c,s + + c = 0 + do e = 1, size(connectivity,3) + do i = 1, size(connectivity,2) + myConnectivity = connectivity(:,i,e) + do f = 1, size(elem%cellFace,2) + c = c + 1 + face_unordered = myConnectivity(elem%cellFace(:,f)) + do n = 1, size(face_unordered) + face(n,c) = minval(face_unordered) + face_unordered(minloc(face_unordered)) = huge(face_unordered) + enddo + face(n:n+3,c) = [e,i,f] + enddo + enddo; enddo + +!-------------------------------------------------------------------------------------------------- +! sort face definitions + call math_sort(face,sortDim=1) + do c=2, size(face,1)-4 + s = 1 + e = 1 + do while (e < size(face,2)) + e = e + 1 + if(any(face(:c,s) /= face(:c,e))) then + if(e-1/=s) call math_sort(face(:,s:e-1),sortDim=c) + s = e + endif + enddo + enddo + + IPneighborhood = 0 + do c=1, size(face,2) - 1 + if(all(face(:n-1,c) == face(:n-1,c+1))) then + IPneighborhood(:,face(n+2,c+1),face(n+1,c+1),face(n+0,c+1)) = face(n:n+3,c+0) + IPneighborhood(:,face(n+2,c+0),face(n+1,c+0),face(n+0,c+0)) = face(n:n+3,c+1) + endif + enddo + +end function IPneighborhood + + !-------------------------------------------------------------------------------------------------- !> @brief return integer list corresponding to items in consecutive lines. !! First integer in array is counter diff --git a/src/marc/include/concom2019.1 b/src/marc/include/concom2019.1 new file mode 100644 index 000000000..73e8eb992 --- /dev/null +++ b/src/marc/include/concom2019.1 @@ -0,0 +1,439 @@ +! common block definition file taken from respective MSC.Marc release and reformated to free format +!*********************************************************************** +! +! File: concom.cmn +! +! MSC.Marc include file +! +integer & + iacous, iasmbl, iautth, ibear, icompl, iconj, icreep, ideva, idyn, idynt,& + ielas, ielcma, ielect, iform, ifour, iharm, ihcps, iheat, iheatt, ihresp,& + ijoule, ilem, ilnmom, iloren, inc, incext, incsub, ipass, iplres, ipois,& + ipoist, irpflo, ismall, ismalt, isoil, ispect, ispnow, istore, iswep, ithcrp,& + itherm, iupblg, iupdat, jacflg, jel, jparks, largst, lfond, loadup, loaduq,& + lodcor, lovl, lsub, magnet, ncycle, newtnt, newton, noshr, linear, ivscpl,& + icrpim, iradrt, ipshft, itshr, iangin, iupmdr, iconjf, jincfl, jpermg, jhour,& + isolvr, jritz, jtable, jshell, jdoubl, jform, jcentr, imini, kautth, iautof,& + ibukty, iassum, icnstd, icnstt, kmakmas, imethvp, iradrte, iradrtp, iupdate, iupdatp,& + ncycnt, marmen , idynme, ihavca, ispf, kmini, imixex, largtt, kdoela, iautofg,& + ipshftp, idntrc, ipore, jtablm, jtablc, isnecma, itrnspo, imsdif, jtrnspo, mcnear,& + imech, imecht, ielcmat, ielectt, magnett, imsdift, noplas, jtabls, jactch, jtablth,& + kgmsto , jpzo, ifricsh, iremkin, iremfor, ishearp, jspf, machining, jlshell, icompsol,& + iupblgfo, jcondir, nstcrp, nactive, ipassref, nstspnt, ibeart, icheckmpc, noline, icuring,& + ishrink, ioffsflg, isetoff, ioffsetm,iharmt, inc_incdat, iautspc, ibrake, icbush, istream_input,& + iprsinp, ivlsinp, ifirst_time,ipin_m, jgnstr_glb, imarc_return,iqvcinp, nqvceid, istpnx, imicro1,& + iaxisymm, jbreakglue,iglstif, jfastasm,iwear, iwearcf, imixmeth, ielcmadyn, idinout, igena_meth,& + magf_meth, non_assumed, iredoboudry, ioffsz0,icomplt, mesh_dual, iactrp, mgnewton, iusedens,igsigd0,& + iaem, icosim, inodels, nlharm, iampini, iphasetr, inonlcl, inonlct, iforminp,ispecerror,& + icsprg, imol, imolt, idatafit,iharmpar, inclcase, imultifreq,init_elas +dimension :: ideva(60) +integer num_concom +parameter(num_concom=258) +common/marc_concom/& + iacous, iasmbl, iautth, ibear, icompl, iconj, icreep, ideva, idyn, idynt,& + ielas, ielcma, ielect, iform, ifour, iharm, ihcps, iheat, iheatt, ihresp,& + ijoule, ilem, ilnmom, iloren, inc, incext, incsub, ipass, iplres, ipois,& + ipoist, irpflo, ismall, ismalt, isoil, ispect, ispnow, istore, iswep, ithcrp,& + itherm, iupblg, iupdat, jacflg, jel, jparks, largst, lfond, loadup, loaduq,& + lodcor, lovl, lsub, magnet, ncycle, newtnt, newton, noshr, linear, ivscpl,& + icrpim, iradrt, ipshft, itshr, iangin, iupmdr, iconjf, jincfl, jpermg, jhour,& + isolvr, jritz, jtable, jshell, jdoubl, jform, jcentr, imini, kautth, iautof,& + ibukty, iassum, icnstd, icnstt, kmakmas, imethvp, iradrte, iradrtp, iupdate, iupdatp,& + ncycnt, marmen, idynme, ihavca, ispf, kmini, imixex, largtt, kdoela, iautofg,& + ipshftp, idntrc, ipore, jtablm, jtablc, isnecma, itrnspo, imsdif, jtrnspo, mcnear,& + imech, imecht, ielcmat, ielectt, magnett, imsdift, noplas, jtabls, jactch, jtablth,& + kgmsto , jpzo, ifricsh, iremkin, iremfor, ishearp, jspf, machining, jlshell, icompsol,& + iupblgfo, jcondir, nstcrp, nactive, ipassref, nstspnt, ibeart, icheckmpc, noline, icuring,& + ishrink, ioffsflg, isetoff, ioffsetm,iharmt, inc_incdat, iautspc, ibrake, icbush, istream_input,& + iprsinp, ivlsinp, ifirst_time,ipin_m, jgnstr_glb, imarc_return,iqvcinp, nqvceid, istpnx, imicro1,& + iaxisymm, jbreakglue,iglstif, jfastasm,iwear, iwearcf, imixmeth, ielcmadyn, idinout, igena_meth,& + magf_meth, non_assumed, iredoboudry, ioffsz0,icomplt, mesh_dual, iactrp, mgnewton, iusedens,igsigd0,& + iaem, icosim, inodels, nlharm, iampini, iphasetr, inonlcl, inonlct, iforminp,ispecerror,& + icsprg, imol, imolt, idatafit,iharmpar, inclcase, imultifreq,init_elas +! +! comments of variables: +! +! iacous Control flag for acoustic analysis. Input data. +! iacous=1 modal acoustic analysis. +! iacous=2 harmonic acoustic-structural analysis. +! iasmbl Control flag to indicate that operator matrix should be +! recalculated. +! iautth Control flag for AUTO THERM option. +! ibear Control flag for bearing analysis. Input data. +! icompl Control variable to indicate that a complex analysis is +! being performed. Either a Harmonic analysis with damping, +! or a harmonic electro-magnetic analysis. Input data. +! iconj Flag for EBE conjugate gradient solver (=solver 1, retired) +! Also used for VKI iterative solver. +! icreep Control flag for creep analysis. Input data. +! ideva(60) - debug print out flag +! 1 print element stiffness matrices, mass matrix +! 2 output matrices used in tying +! 3 force the solution of a nonpositive definite matrix +! 4 print info of connections to each node +! 5 info of gap convergence, internal heat generated, contact +! touching and separation +! 6 nodal value array during rezoning +! 7 tying info in CONRAD GAP option, fluid element numbers in +! CHANNEL option +! 8 output incremental displacements in local coord. system +! 9 latent heat output +! 10 stress-strain in local coord. system +! 11 additional info on interlaminar stress +! 12 output right hand side and solution vector +! 13 info of CPU resources used and memory available on NT +! 14 info of mesh adaption process, 2D outline information +! info of penetration checking for remeshing +! save .fem files after afmesh3d meshing +! 15 surface energy balance flag +! 16 print info regarding pyrolysis +! 17 print info of "streamline topology" +! 18 print mesh data changes after remeshing +! 19 print material flow stress data read in from *.mat file +! if unit flag is on, print out flow stress after conversion +! 20 print information on table input +! 21 print out information regarding kinematic boundary conditions +! 22 print out information regarding dist loads, point loads, film +! and foundations +! 23 print out information about automatic domain decomposition +! 24 print out iteration information in SuperForm status report file +! 25 print out information for ablation +! 26 print out information for films - Table input +! 27 print out the tying forces +! 28 print out for CASI solver, convection, +! 29 DDM single file debug printout +! 30 print out cavity debug info +! 31 print out welding related info +! 32 prints categorized DDM memory usage +! 33 print out the cutting info regarding machining feature +! 34 print out the list of quantities which can be defined via a table +! and for each quantity the supported independent variables +! 35 print out detailed coupling region info +! 36 print out solver debug info level 1 (Least Detailed) +! 37 print out solver debug info level 1 (Medium Detailed) +! 38 print out solver debug info level 1 (Very Detailed) +! 39 print detailed memory allocation info +! 40 print out marc-adams debug info +! 41 output rezone mapping post file for debugging +! 42 output post file after calling oprofos() for debugging +! 43 debug printout for vcct +! 44 debug printout for progressive failure +! 45 print out automatically generated midside node coordinates (arecrd) +! 46 print out message about routine and location, where the ibort is raised (ibort_inc) +! 47 print out summary message of element variables on a +! group-basis after all the automatic changes have been +! made (em_ellibp) +! 48 Automatically generate check results based on max and min vals. +! These vals are stored in the checkr file, which is inserted +! into the *dat file by the generate_check_results script from /marc/tools +! 49 Automatically generate check results based on the real calculated values +! at the sppecified check result locations. +! These vals are stored in the checkr file, which is inserted +! into the *dat file by the update_check_results script from /marc/tools +! 50 generate a file containing the resistance or capacity matrix; +! this file can be used to compare results with a reference file +! 51 print out detailed information for segment-to-segment contact +! 52 print out detailed relative displacement information +! for uniaxial sliding contact +! 53 print out detailed sliding direction information for +! uniaxial sliding contact +! 54 print out detailed information for edges attached to a curve +! 55 print information related to viscoelasticity calculations +! 56 print out detailed information for element coloring for multithreading +! 57 print out extra overheads due to multi-threading. +! These overhead includes (i) time and (ii) memory. +! The memory report will be summed over all the children. +! +! +! 58 debug output for ELSTO usage +! +! idyn Control flag for dynamics. Input data. +! 1 = eigenvalue extraction and / or modal superposition +! 2 = Newmark Beta and Single Step Houbolt (ssh with idynme=1) +! 3 = Houbolt +! 4 = Central difference +! 5 = Newer central difference +! idynt Copy of idyn at begining of increment +! ielas Control flag for ELASTIC analysis. Input data. +! Set by user or automatically turned on by Fourier option. +! Implies that each load case is treated separately. +! In Adaptive meshing analysis , forces re-analysis until +! convergence obtained. +! Also seriously misused to indicate no convergence. +! = 1 elastic option with fourier analysis +! = 2 elastic option without fourier analysis +! =-1 no convergence in recycles or max # increments reached +! Set to 1 if ELASTIC or SUBSTRUC parameter cards are used, +! or if fourier option is used. +! Then set to 2 if not fourier analysis. +! ielcma Control flag for electromagnetic analysis. Input data. +! ielcma = 1 Harmonic formulation +! ielcma = 2 Transient formulation +! ielect Control flag for electrostatic option. Input data. +! iform Control flag indicating that contact will be performed. +! ifour Control flag for Fourier analysis. +! 0 = Odd and even terms. +! 1 = symmetric (cosine) terms +! 2 = antisymmetric (sine) terms. +! iharm Control flag to indicate that a harmonic analysis will +! be performed. May change between passes. +! ihcps Control flag for coupled thermal - stress analysis. +! iheat Control flag for heat transfer analysis. Input data. +! iheatt Permanent control flag for heat transfer analysis. +! Note in coupled analysis iheatt will remain as one, +! but iheat will be zero in stress pass. +! ihresp Control flag to indicate to perform a harmonic subincrement. +! ijoule Control flag for Joule heating. +! ilem Control flag to determin which vector is to be transformed. +! Control flag to see where one is: +! ilem = 1 - elem.f +! ilem = 2 - initst.f +! ilem = 3 - pressr.f +! ilem = 3 - fstif.f +! ilem = 4 - jflux.f +! ilem = 4 - strass.f +! ilem = 5 - mass.f +! ilem = 5 - osolty.f +! ilnmom Control flag for soil - pore pressure calculation. Input data. +! ilnmom = 0 - perform only pore pressure calculation. +! = 1 - couples pore pressure - displacement analysis +! iloren Control flag for DeLorenzi J-Integral evaluation. Input data. +! inc Increment number. +! incext Control flag indicating that currently working on a +! subincrement. +! Could be due to harmonics , damping component (bearing), +! stiffness component (bearing), auto therm creep or +! old viscoplaticity +! incsub Sub-increment number. +! ipass Control flag for which part of coupled analysis. +! ipass = -1 - reset to base values +! ipass = 0 - do nothing +! ipass = 1 - stress part +! ipass = 2 - heat transfer part +! iplres Flag indicating that either second matrix is stored. +! dynamic analysis - mass matrix +! heat transfer - specific heat matrix +! buckle - initial stress stiffness +! ipois Control flag indicating Poisson type analysis +! ipois = 1 for heat transfer +! = 1 for heat transfer part of coupled +! = 1 for bearing +! = 1 for electrostatic +! = 1 for magnetostatic +! ipoist Permanent copy of ipois. In coupled analysis , ipois = 0 +! in stress portion, yet ipoist will still =1. +! irpflo global flag for rigid plastic flow analysis +! = 1 eularian formulation +! = 2 regular formulation; rigid material present in the analysis + +! ismall control flag to indicate small displacement analysis. input data. +! ismall = 0 - large disp included. +! ismall = 1 - small displacement. +! the flag is changing between passes. +! ismalt permanent copy of ismall . in heat transfer portion of +! coupled analysis ismall =0 , but ismalt remains the same. +! isoil control flag indicating that soil / pore pressure +! calculation . input data. +! ispect control flag for response spectrum calculation. input data. +! ispnow control flag to indicate to perform a spectrum response +! calculation now. +! istore store stresses flag. +! istore = 0 in elem.f and if first pass of creep +! convergence checking in ogetst.f +! or harmonic analysis or thruc.f if not +! converged. +! iswep control flag for eigenvalue analysis. +! iswep=1 - go do extraction process +! ithcrp control flag for auto therm creep option. input data. +! itherm control flag for either temperature dependent material +! properties and/or thermal loads. +! iupblg control flag for follower force option. input data. +! iupdat control flag for update lagrange option for current element. +! jacflg control flag for lanczos iteration method. input data. +! jel control flag indicating that total load applied in +! increment, ignore previous solution. +! jel = 1 in increment 0 +! = 1 if elastic or fourier +! = 1 in subincrements with elastic and adaptive +! jparks control flag for j integral by parks method. input data. +! largst control flag for finite strain plasticity. input data. +! lfond control variable that indicates if doing elastic +! foundation or film calculation. influences whether +! this is volumetric or surface integration. +! loadup control flag that indicates that nonlinearity occurred +! during previous increment. +! loaduq control flag that indicates that nonlinearity occurred. +! lodcor control flag for switching on the residual load correction. +! notice in input stage lodcor=0 means no loadcor, +! after omarc lodcor=1 means no loadcor +! lovl control flag for determining which "overlay" is to +! be called from ellib. +! lovl = 1 omarc +! = 2 oaread +! = 3 opress +! = 4 oasemb +! = 5 osolty +! = 6 ogetst +! = 7 oscinc +! = 8 odynam +! = 9 opmesh +! = 10 omesh2 +! = 11 osetz +! = 12 oass +! = 13 oincdt +! = 14 oasmas +! = 15 ofluas +! = 16 ofluso +! = 17 oshtra +! = 18 ocass +! = 19 osoltc +! = 20 orezon +! = 21 otest +! = 22 oeigen +! lsub control variable to determine which part of element +! assembly function is being done. +! lsub = 1 - no longer used +! = 2 - beta* +! = 3 - cons* +! = 4 - ldef* +! = 5 - posw* +! = 6 - theta* +! = 7 - tmarx* +! = 8 - geom* +! magnet control flag for magnetostatic analysis. input data. +! ncycle cycle number. accumulated in osolty.f +! note first time through oasemb.f , ncycle = 0. +! newtnt control flag for permanent copy of newton. +! newton iteration type. input data. +! newton : = 1 full newton raphson +! 2 modified newton raphson +! 3 newton raphson with strain correct. +! 4 direct substitution +! 5 direct substitution followed by n.r. +! 6 direct substitution with line search +! 7 full newton raphson with secant initial stress +! 8 secant method +! 9 full newton raphson with line search +! noshr control flag for calculation interlaminar shears for +! elements 22,45, and 75. input data. +!ees +! +! jactch = 1 or 2 if elements are activated or deactivated +! = 3 if elements are adaptively remeshed or rezoned +! = 0 normally / reset to 0 when assembly is done +! ifricsh = 0 call to fricsh in otest not needed +! = 1 call to fricsh (nodal friction) in otest needed +! iremkin = 0 remove deactivated kinematic boundary conditions +! immediately - only in new input format (this is default) +! = 1 remove deactivated kinematic boundary conditions +! gradually - only in new input format +! iremfor = 0 remove force boundary conditions immediately - +! only in new input format (this is default) +! = 1 remove force boundary conditions gradually - +! only in new input format (this is default) +! ishearp set to 1 if shear panel elements are present in the model +! +! jspf = 0 not in spf loadcase +! > 0 in spf loadcase (jspf=1 during first increment) +! machining = 1 if the metal cutting feature is used, for memory allocation purpose +! = 0 (default) if no metal cutting feature required +! +! jlshell = 1 if there is a shell element in the mesh +! icompsol = 1 if there is a composite solid element in the mesh +! iupblgfo = 1 if follower force for point loads +! jcondir = 1 if contact priority option is used +! nstcrp = 0 (default) steady state creep flag (undocumented feature. +! if not 0, turns off special ncycle = 0 code in radial.f) +! nactive = number of active passes, if =1 then it's not a coupled analysis +! ipassref = reference ipass, if not in a multiphysics pass ipass=ipassref +! icheckmpc = value of mpc-check parameter option +! noline = set to 1 in osolty if no line seacrh should be done in ogetst +! icuring = set to 1 if the curing is included for the heat transfer analysis. +! ishrink = set to 1 if shrinkage strain is included for mechancial analysis. +! ioffsflg = 1 for small displacement beam/shell offsets +! = 2 for large displacement beam/shell offsets +! isetoff = 0 - do not apply beam/shell offsets +! = 1 - apply beam/shell offsets +! ioffsetm = min. value of offset flag +! iharmt = 1 global flag if a coupled analysis contains an harmonic pass +! inc_incdat = flag to record increment number of a new loadcase in incdat.f +! iautspc = flag for AutoSPC option +! ibrake = brake squeal in this increment +! icbush = set to 1 if cbush elements present in model +! istream_input = set to 1 for streaming input calling Marc as library +! iprsinp = set to 1 if pressure input, introduced so other variables +! such as h could be a function of pressure +! ivlsinp = set to 1 if velocity input, introduced so other variables +! such as h could be a function of velocity +! ipin_m = # of beam element with PIN flag +! jgnstr_glb = global control over pre or fast integrated composite shells +! imarc_return = Marc return flag for streaming input control +! iqvcimp = if non-zero, then the number of QVECT boundary conditions +! nqvceid = number of QVECT boundary conditions, where emisivity/absorbtion id entered +! istpnx = 1 if to stop at end of increment +! imicro1 = 1 if micro1 interface is used +! iaxisymm = set to 1 if axisymmetric analysis +! jbreakglue = set to 1 if breaking glued option is used +! iglstif = 1 if ddm and global stiffness matrix formed (sgi solver 6 or solver9) +! jfastasm = 1 do fast assembly using SuperForm code +! iwear = set to 1 if wear model, set to 2 if wear model and coordinates updated +! iwearcf = set to 1 to store nodal coefficient of friction for wear calculation +! imixmeth = set=1 then use nonlinear mixture material - allocate memory +! ielcmadyn = flag for magnetodynamics +! 0 - electromagnetics using newmark beta +! 1 - transient magnetics using backward euler +! idinout = flag to control if inside out elements should be deactivated +! igena_meth = 0 - generalized alpha parameters depend on whether or not contact +! is flagged (dynamic,7) +! 10 - generalized alpha parameters are optimized for a contact +! analysis (dynamic,8) +! 11 - generalized alpha parameters are optimized for an analysis +! without contact (dynamic,8) +! magf_meth = - Method to compute force in magnetostatic - structural +! = 1 - Virtual work method based on finite difference for the force computation +! = 2 - Maxwell stress tensor +! = 3 - Virtual work method based on local derivative for the force computation +! non_assumed = 1 no assumed strain formulation (forced) +! iredoboudry set to 1 if contact boundary needs to be recalculated +! ioffsz0 = 1 if composite are used with reference position.ne.0 +! icomplt = 1 global flag if a coupled analysis contains an complex pass +! mesh_dual = 1 two independent meshes are used in magnetodynamic/thermal/structural +! one for magnetodynamic and the other for the remaining passes +! iactrp = 1 in an analysis with global remeshing, include inactive +! rigid bodies on post file +! mgnewton = 1 Use full Newton Raphson iteration for magnetostatic pass +! +! iusedens > 0 if mass density is used in the analysis (dynamics, mass dependent loading) +! igsigd0 = 1 set varselem(igsigd) to zero in next oasemb +! iaem = 1 if marc is called from aem (0 - off - default) +! icosim = 1 if marc is used in co-simulation software (ADAMS-MARC) +! inodels = 1 nodal integration elements 239/240/241 present +! nlharm = 0 harmonic subincrements are linear +! = 1 harmonic subincrements are nonlinear +! iampini = 0 amplitude of previous harmonic subinc is initial estimate (default) +! = 1 zero amplitude is initial estimate +! iphasetr = 1 phase transformation material model is used +! iforminp flag indicating that contact is switched on via the CONTACT +! option in the input file (as opposed to the case that contact +! is switched on internally due to cyclic symmetry or model +! section creation) +! ispecerror = a+10*b (only for spectrum response analysis with missing mass option) +! a=0 or a=1 (modal shape with non-zero shift) +! b=0 or b=1 (recover with new assembly of stiffness matrix) +! icsprg = set to 1 if spring elements present in model +! imol Control flag for molecualr diffusion pass +! imolt Permanent control flag for molecualr diffusion pass +! Note in coupled analysis imolt will remain as one, +! but imol will be zero in stress pass or thermal pass. +! idatafit = run Marc to fit parameters +! iharmpar = 1 if harmonic parameter option is used +! inclcase load case increment use for cyclic plasticity data fitting +! imultifreq flag to indicate how many harmonic magnetodynamic passes are computed in coupled +! magnetodynamic/thermal(/structural) analyses. +! 0 or 1 one pass 2 two passes 3 or more is not supported +! init_elas use elastic stress-strain law as the material tangent for +! the first cycle of an increment +! +!*********************************************************************** +!$omp threadprivate(/marc_concom/) +!! diff --git a/src/marc/include/concom2020 b/src/marc/include/concom2020 new file mode 100644 index 000000000..0b218c7f2 --- /dev/null +++ b/src/marc/include/concom2020 @@ -0,0 +1,443 @@ +! common block definition file taken from respective MSC.Marc release and reformated to free format +!*********************************************************************** +! +! File: concom.cmn +! +! MSC.Marc include file +! +integer & + iacous, iasmbl, iautth, ibear, icompl, iconj, icreep, ideva, idyn, idynt,& + ielas, ielcma, ielect, iform, ifour, iharm, ihcps, iheat, iheatt, ihresp,& + ijoule, ilem, ilnmom, iloren, inc, incext, incsub, ipass, iplres, ipois,& + ipoist, irpflo, ismall, ismalt, isoil, ispect, ispnow, istore, iswep, ithcrp,& + itherm, iupblg, iupdat, jacflg, jel, jparks, largst, lfond, loadup, loaduq,& + lodcor, lovl, lsub, magnet, ncycle, newtnt, newton, noshr, linear, ivscpl,& + icrpim, iradrt, ipshft, itshr, iangin, iupmdr, iconjf, jincfl, jpermg, jhour,& + isolvr, jritz, jtable, jshell, jdoubl, jform, jcentr, imini, kautth, iautof,& + ibukty, iassum, icnstd, icnstt, kmakmas, imethvp, iradrte, iradrtp, iupdate, iupdatp,& + ncycnt, marmen , idynme, ihavca, ispf, kmini, imixex, largtt, kdoela, iautofg,& + ipshftp, idntrc, ipore, jtablm, jtablc, isnecma, itrnspo, imsdif, jtrnspo, mcnear,& + imech, imecht, ielcmat, ielectt, magnett, imsdift, noplas, jtabls, jactch, jtablth,& + kgmsto , jpzo, ifricsh, iremkin, iremfor, ishearp, jspf, machining, jlshell, icompsol,& + iupblgfo, jcondir, nstcrp, nactive, ipassref, nstspnt, ibeart, icheckmpc, noline, icuring,& + ishrink, ioffsflg, isetoff, ioffsetm,iharmt, inc_incdat, iautspc, ibrake, icbush, istream_input,& + iprsinp, ivlsinp, ifirst_time,ipin_m, jgnstr_glb, imarc_return,iqvcinp, nqvceid, istpnx, imicro1,& + iaxisymm, jbreakglue,iglstif, jfastasm,iwear, iwearcf, imixmeth, ielcmadyn, idinout, igena_meth,& + magf_meth, non_assumed, iredoboudry, ioffsz0,icomplt, mesh_dual, iactrp, mgnewton, iusedens,igsigd0,& + iaem, icosim, inodels, nlharm, iampini, iphasetr, inonlcl, inonlct, iforminp,ispecerror,& + icsprg, imol, imolt, idatafit,iharmpar, inclcase, imultifreq,init_elas, ifatig, iftgmat +dimension :: ideva(60) +integer num_concom +parameter(num_concom=260) +common/marc_concom/& + iacous, iasmbl, iautth, ibear, icompl, iconj, icreep, ideva, idyn, idynt,& + ielas, ielcma, ielect, iform, ifour, iharm, ihcps, iheat, iheatt, ihresp,& + ijoule, ilem, ilnmom, iloren, inc, incext, incsub, ipass, iplres, ipois,& + ipoist, irpflo, ismall, ismalt, isoil, ispect, ispnow, istore, iswep, ithcrp,& + itherm, iupblg, iupdat, jacflg, jel, jparks, largst, lfond, loadup, loaduq,& + lodcor, lovl, lsub, magnet, ncycle, newtnt, newton, noshr, linear, ivscpl,& + icrpim, iradrt, ipshft, itshr, iangin, iupmdr, iconjf, jincfl, jpermg, jhour,& + isolvr, jritz, jtable, jshell, jdoubl, jform, jcentr, imini, kautth, iautof,& + ibukty, iassum, icnstd, icnstt, kmakmas, imethvp, iradrte, iradrtp, iupdate, iupdatp,& + ncycnt, marmen, idynme, ihavca, ispf, kmini, imixex, largtt, kdoela, iautofg,& + ipshftp, idntrc, ipore, jtablm, jtablc, isnecma, itrnspo, imsdif, jtrnspo, mcnear,& + imech, imecht, ielcmat, ielectt, magnett, imsdift, noplas, jtabls, jactch, jtablth,& + kgmsto , jpzo, ifricsh, iremkin, iremfor, ishearp, jspf, machining, jlshell, icompsol,& + iupblgfo, jcondir, nstcrp, nactive, ipassref, nstspnt, ibeart, icheckmpc, noline, icuring,& + ishrink, ioffsflg, isetoff, ioffsetm,iharmt, inc_incdat, iautspc, ibrake, icbush, istream_input,& + iprsinp, ivlsinp, ifirst_time,ipin_m, jgnstr_glb, imarc_return,iqvcinp, nqvceid, istpnx, imicro1,& + iaxisymm, jbreakglue,iglstif, jfastasm,iwear, iwearcf, imixmeth, ielcmadyn, idinout, igena_meth,& + magf_meth, non_assumed, iredoboudry, ioffsz0,icomplt, mesh_dual, iactrp, mgnewton, iusedens,igsigd0,& + iaem, icosim, inodels, nlharm, iampini, iphasetr, inonlcl, inonlct, iforminp,ispecerror,& + icsprg, imol, imolt, idatafit,iharmpar, inclcase, imultifreq,init_elas, ifatig, iftgmat +! +! comments of variables: +! +! iacous Control flag for acoustic analysis. Input data. +! iacous=1 modal acoustic analysis. +! iacous=2 harmonic acoustic-structural analysis. +! iasmbl Control flag to indicate that operator matrix should be +! recalculated. +! iautth Control flag for AUTO THERM option. +! ibear Control flag for bearing analysis. Input data. +! icompl Control variable to indicate that a complex analysis is +! being performed. Either a Harmonic analysis with damping, +! or a harmonic electro-magnetic analysis. Input data. +! iconj Flag for EBE conjugate gradient solver (=solver 1, retired) +! Also used for VKI iterative solver. +! icreep Control flag for creep analysis. Input data. +! ideva(60) - debug print out flag +! 1 print element stiffness matrices, mass matrix +! 2 output matrices used in tying +! 3 force the solution of a nonpositive definite matrix +! 4 print info of connections to each node +! 5 info of gap convergence, internal heat generated, contact +! touching and separation +! 6 nodal value array during rezoning +! 7 tying info in CONRAD GAP option, fluid element numbers in +! CHANNEL option +! 8 output incremental displacements in local coord. system +! 9 latent heat output +! 10 stress-strain in local coord. system +! 11 additional info on interlaminar stress +! 12 output right hand side and solution vector +! 13 info of CPU resources used and memory available on NT +! 14 info of mesh adaption process, 2D outline information +! info of penetration checking for remeshing +! save .fem files after afmesh3d meshing +! 15 surface energy balance flag +! 16 print info regarding pyrolysis +! 17 print info of "streamline topology" +! 18 print mesh data changes after remeshing +! 19 print material flow stress data read in from *.mat file +! if unit flag is on, print out flow stress after conversion +! 20 print information on table input +! 21 print out information regarding kinematic boundary conditions +! 22 print out information regarding dist loads, point loads, film +! and foundations +! 23 print out information about automatic domain decomposition +! 24 print out iteration information in SuperForm status report file +! 25 print out information for ablation +! 26 print out information for films - Table input +! 27 print out the tying forces +! 28 print out for CASI solver, convection, +! 29 DDM single file debug printout +! 30 print out cavity debug info +! 31 print out welding related info +! 32 prints categorized DDM memory usage +! 33 print out the cutting info regarding machining feature +! 34 print out the list of quantities which can be defined via a table +! and for each quantity the supported independent variables +! 35 print out detailed coupling region info +! 36 print out solver debug info level 1 (Least Detailed) +! 37 print out solver debug info level 1 (Medium Detailed) +! 38 print out solver debug info level 1 (Very Detailed) +! 39 print detailed memory allocation info +! 40 print out marc-adams debug info +! 41 output rezone mapping post file for debugging +! 42 output post file after calling oprofos() for debugging +! 43 debug printout for vcct +! 44 debug printout for progressive failure +! 45 print out automatically generated midside node coordinates (arecrd) +! 46 print out message about routine and location, where the ibort is raised (ibort_inc) +! 47 print out summary message of element variables on a +! group-basis after all the automatic changes have been +! made (em_ellibp) +! 48 Automatically generate check results based on max and min vals. +! These vals are stored in the checkr file, which is inserted +! into the *dat file by the generate_check_results script from /marc/tools +! 49 Automatically generate check results based on the real calculated values +! at the sppecified check result locations. +! These vals are stored in the checkr file, which is inserted +! into the *dat file by the update_check_results script from /marc/tools +! 50 generate a file containing the resistance or capacity matrix; +! this file can be used to compare results with a reference file +! 51 print out detailed information for segment-to-segment contact +! 52 print out detailed relative displacement information +! for uniaxial sliding contact +! 53 print out detailed sliding direction information for +! uniaxial sliding contact +! 54 print out detailed information for edges attached to a curve +! 55 print information related to viscoelasticity calculations +! 56 print out detailed information for element coloring for multithreading +! 57 print out extra overheads due to multi-threading. +! These overhead includes (i) time and (ii) memory. +! The memory report will be summed over all the children. +! +! +! 58 debug output for ELSTO usage +! +! idyn Control flag for dynamics. Input data. +! 1 = eigenvalue extraction and / or modal superposition +! 2 = Newmark Beta and Single Step Houbolt (ssh with idynme=1) +! 3 = Houbolt +! 4 = Central difference +! 5 = Newer central difference +! idynt Copy of idyn at begining of increment +! ielas Control flag for ELASTIC analysis. Input data. +! Set by user or automatically turned on by Fourier option. +! Implies that each load case is treated separately. +! In Adaptive meshing analysis , forces re-analysis until +! convergence obtained. +! Also seriously misused to indicate no convergence. +! = 1 elastic option with fourier analysis +! = 2 elastic option without fourier analysis +! =-1 no convergence in recycles or max # increments reached +! Set to 1 if ELASTIC or SUBSTRUC parameter cards are used, +! or if fourier option is used. +! Then set to 2 if not fourier analysis. +! ielcma Control flag for electromagnetic analysis. Input data. +! ielcma = 1 Harmonic formulation +! ielcma = 2 Transient formulation +! ielect Control flag for electrostatic option. Input data. +! iform Control flag indicating that contact will be performed. +! ifour Control flag for Fourier analysis. +! 0 = Odd and even terms. +! 1 = symmetric (cosine) terms +! 2 = antisymmetric (sine) terms. +! iharm Control flag to indicate that a harmonic analysis will +! be performed. May change between passes. +! ihcps Control flag for coupled thermal - stress analysis. +! iheat Control flag for heat transfer analysis. Input data. +! iheatt Permanent control flag for heat transfer analysis. +! Note in coupled analysis iheatt will remain as one, +! but iheat will be zero in stress pass. +! ihresp Control flag to indicate to perform a harmonic subincrement. +! ijoule Control flag for Joule heating. +! ilem Control flag to determin which vector is to be transformed. +! Control flag to see where one is: +! ilem = 1 - elem.f +! ilem = 2 - initst.f +! ilem = 3 - pressr.f +! ilem = 3 - fstif.f +! ilem = 4 - jflux.f +! ilem = 4 - strass.f +! ilem = 5 - mass.f +! ilem = 5 - osolty.f +! ilnmom Control flag for soil - pore pressure calculation. Input data. +! ilnmom = 0 - perform only pore pressure calculation. +! = 1 - couples pore pressure - displacement analysis +! iloren Control flag for DeLorenzi J-Integral evaluation. Input data. +! inc Increment number. +! incext Control flag indicating that currently working on a +! subincrement. +! Could be due to harmonics , damping component (bearing), +! stiffness component (bearing), auto therm creep or +! old viscoplaticity +! incsub Sub-increment number. +! ipass Control flag for which part of coupled analysis. +! ipass = -1 - reset to base values +! ipass = 0 - do nothing +! ipass = 1 - stress part +! ipass = 2 - heat transfer part +! iplres Flag indicating that either second matrix is stored. +! dynamic analysis - mass matrix +! heat transfer - specific heat matrix +! buckle - initial stress stiffness +! ipois Control flag indicating Poisson type analysis +! ipois = 1 for heat transfer +! = 1 for heat transfer part of coupled +! = 1 for bearing +! = 1 for electrostatic +! = 1 for magnetostatic +! ipoist Permanent copy of ipois. In coupled analysis , ipois = 0 +! in stress portion, yet ipoist will still =1. +! irpflo global flag for rigid plastic flow analysis +! = 1 eularian formulation +! = 2 regular formulation; rigid material present in the analysis + +! ismall control flag to indicate small displacement analysis. input data. +! ismall = 0 - large disp included. +! ismall = 1 - small displacement. +! the flag is changing between passes. +! ismalt permanent copy of ismall . in heat transfer portion of +! coupled analysis ismall =0 , but ismalt remains the same. +! isoil control flag indicating that soil / pore pressure +! calculation . input data. +! ispect control flag for response spectrum calculation. input data. +! ispnow control flag to indicate to perform a spectrum response +! calculation now. +! istore store stresses flag. +! istore = 0 in elem.f and if first pass of creep +! convergence checking in ogetst.f +! or harmonic analysis or thruc.f if not +! converged. +! iswep control flag for eigenvalue analysis. +! iswep=1 - go do extraction process +! ithcrp control flag for auto therm creep option. input data. +! itherm control flag for either temperature dependent material +! properties and/or thermal loads. +! iupblg control flag for follower force option. input data. +! iupdat control flag for update lagrange option for current element. +! jacflg control flag for lanczos iteration method. input data. +! jel control flag indicating that total load applied in +! increment, ignore previous solution. +! jel = 1 in increment 0 +! = 1 if elastic or fourier +! = 1 in subincrements with elastic and adaptive +! jparks control flag for j integral by parks method. input data. +! largst control flag for finite strain plasticity. input data. +! lfond control variable that indicates if doing elastic +! foundation or film calculation. influences whether +! this is volumetric or surface integration. +! loadup control flag that indicates that nonlinearity occurred +! during previous increment. +! loaduq control flag that indicates that nonlinearity occurred. +! lodcor control flag for switching on the residual load correction. +! notice in input stage lodcor=0 means no loadcor, +! after omarc lodcor=1 means no loadcor +! lovl control flag for determining which "overlay" is to +! be called from ellib. +! lovl = 1 omarc +! = 2 oaread +! = 3 opress +! = 4 oasemb +! = 5 osolty +! = 6 ogetst +! = 7 oscinc +! = 8 odynam +! = 9 opmesh +! = 10 omesh2 +! = 11 osetz +! = 12 oass +! = 13 oincdt +! = 14 oasmas +! = 15 ofluas +! = 16 ofluso +! = 17 oshtra +! = 18 ocass +! = 19 osoltc +! = 20 orezon +! = 21 otest +! = 22 oeigen +! lsub control variable to determine which part of element +! assembly function is being done. +! lsub = 1 - no longer used +! = 2 - beta* +! = 3 - cons* +! = 4 - ldef* +! = 5 - posw* +! = 6 - theta* +! = 7 - tmarx* +! = 8 - geom* +! magnet control flag for magnetostatic analysis. input data. +! ncycle cycle number. accumulated in osolty.f +! note first time through oasemb.f , ncycle = 0. +! newtnt control flag for permanent copy of newton. +! newton iteration type. input data. +! newton : = 1 full newton raphson +! 2 modified newton raphson +! 3 newton raphson with strain correct. +! 4 direct substitution +! 5 direct substitution followed by n.r. +! 6 direct substitution with line search +! 7 full newton raphson with secant initial stress +! 8 secant method +! 9 full newton raphson with line search +! noshr control flag for calculation interlaminar shears for +! elements 22,45, and 75. input data. +!ees +! +! jactch = 1 or 2 if elements are activated or deactivated +! = 3 if elements are adaptively remeshed or rezoned +! = 0 normally / reset to 0 when assembly is done +! ifricsh = 0 call to fricsh in otest not needed +! = 1 call to fricsh (nodal friction) in otest needed +! iremkin = 0 remove deactivated kinematic boundary conditions +! immediately - only in new input format (this is default) +! = 1 remove deactivated kinematic boundary conditions +! gradually - only in new input format +! iremfor = 0 remove force boundary conditions immediately - +! only in new input format (this is default) +! = 1 remove force boundary conditions gradually - +! only in new input format (this is default) +! ishearp set to 1 if shear panel elements are present in the model +! +! jspf = 0 not in spf loadcase +! > 0 in spf loadcase (jspf=1 during first increment) +! machining = 1 if the metal cutting feature is used, for memory allocation purpose +! = 0 (default) if no metal cutting feature required +! +! jlshell = 1 if there is a shell element in the mesh +! icompsol = 1 if there is a composite solid element in the mesh +! iupblgfo = 1 if follower force for point loads +! jcondir = 1 if contact priority option is used +! nstcrp = 0 (default) steady state creep flag (undocumented feature. +! if not 0, turns off special ncycle = 0 code in radial.f) +! nactive = number of active passes, if =1 then it's not a coupled analysis +! ipassref = reference ipass, if not in a multiphysics pass ipass=ipassref +! icheckmpc = value of mpc-check parameter option +! noline = set to 1 in osolty if no line seacrh should be done in ogetst +! icuring = set to 1 if the curing is included for the heat transfer analysis. +! ishrink = set to 1 if shrinkage strain is included for mechancial analysis. +! ioffsflg = 1 for small displacement beam/shell offsets +! = 2 for large displacement beam/shell offsets +! isetoff = 0 - do not apply beam/shell offsets +! = 1 - apply beam/shell offsets +! ioffsetm = min. value of offset flag +! iharmt = 1 global flag if a coupled analysis contains an harmonic pass +! inc_incdat = flag to record increment number of a new loadcase in incdat.f +! iautspc = flag for AutoSPC option +! ibrake = brake squeal in this increment +! icbush = set to 1 if cbush elements present in model +! istream_input = set to 1 for streaming input calling Marc as library +! iprsinp = set to 1 if pressure input, introduced so other variables +! such as h could be a function of pressure +! ivlsinp = set to 1 if velocity input, introduced so other variables +! such as h could be a function of velocity +! ipin_m = # of beam element with PIN flag +! jgnstr_glb = global control over pre or fast integrated composite shells +! imarc_return = Marc return flag for streaming input control +! iqvcimp = if non-zero, then the number of QVECT boundary conditions +! nqvceid = number of QVECT boundary conditions, where emisivity/absorbtion id entered +! istpnx = 1 if to stop at end of increment +! imicro1 = 1 if micro1 interface is used +! iaxisymm = set to 1 if axisymmetric analysis +! jbreakglue = set to 1 if breaking glued option is used +! iglstif = 1 if ddm and global stiffness matrix formed (sgi solver 6 or solver9) +! jfastasm = 1 do fast assembly using SuperForm code +! iwear = set to 1 if wear model, set to 2 if wear model and coordinates updated +! iwearcf = set to 1 to store nodal coefficient of friction for wear calculation +! imixmeth = set=1 then use nonlinear mixture material - allocate memory +! ielcmadyn = flag for magnetodynamics +! 0 - electromagnetics using newmark beta +! 1 - transient magnetics using backward euler +! idinout = flag to control if inside out elements should be deactivated +! igena_meth = 0 - generalized alpha parameters depend on whether or not contact +! is flagged (dynamic,7) +! 10 - generalized alpha parameters are optimized for a contact +! analysis (dynamic,8) +! 11 - generalized alpha parameters are optimized for an analysis +! without contact (dynamic,8) +! magf_meth = - Method to compute force in magnetostatic - structural +! = 1 - Virtual work method based on finite difference for the force computation +! = 2 - Maxwell stress tensor +! = 3 - Virtual work method based on local derivative for the force computation +! non_assumed = 1 no assumed strain formulation (forced) +! iredoboudry set to 1 if contact boundary needs to be recalculated +! ioffsz0 = 1 if composite are used with reference position.ne.0 +! icomplt = 1 global flag if a coupled analysis contains an complex pass +! mesh_dual = 1 two independent meshes are used in magnetodynamic/thermal/structural +! one for magnetodynamic and the other for the remaining passes +! iactrp = 1 in an analysis with global remeshing, include inactive +! rigid bodies on post file +! mgnewton = 1 Use full Newton Raphson iteration for magnetostatic pass +! +! iusedens > 0 if mass density is used in the analysis (dynamics, mass dependent loading) +! igsigd0 = 1 set varselem(igsigd) to zero in next oasemb +! iaem = 1 if marc is called from aem (0 - off - default) +! icosim = 1 if marc is used in co-simulation software (ADAMS-MARC) +! inodels = 1 nodal integration elements 239/240/241 present +! nlharm = 0 harmonic subincrements are linear +! = 1 harmonic subincrements are nonlinear +! iampini = 0 amplitude of previous harmonic subinc is initial estimate (default) +! = 1 zero amplitude is initial estimate +! iphasetr = 1 phase transformation material model is used +! iforminp flag indicating that contact is switched on via the CONTACT +! option in the input file (as opposed to the case that contact +! is switched on internally due to cyclic symmetry or model +! section creation) +! ispecerror = a+10*b (only for spectrum response analysis with missing mass option) +! a=0 or a=1 (modal shape with non-zero shift) +! b=0 or b=1 (recover with new assembly of stiffness matrix) +! icsprg = set to 1 if spring elements present in model +! imol Control flag for molecualr diffusion pass +! imolt Permanent control flag for molecualr diffusion pass +! Note in coupled analysis imolt will remain as one, +! but imol will be zero in stress pass or thermal pass. +! idatafit = run Marc to fit parameters +! iharmpar = 1 if harmonic parameter option is used +! inclcase load case increment use for cyclic plasticity data fitting +! imultifreq flag to indicate how many harmonic magnetodynamic passes are computed in coupled +! magnetodynamic/thermal(/structural) analyses. +! 0 or 1 one pass 2 two passes 3 or more is not supported +! init_elas use elastic stress-strain law as the material tangent for +! the first cycle of an increment +! ifatig = 1 stress-life fatigue +! = 2 strain-life fatigue +! iftgmat = 0 no fatigue material properties in the dat file +! = 1 fatigue material properties in the dat file +! +!*********************************************************************** +!$omp threadprivate(/marc_concom/) +!! diff --git a/src/marc/include/creeps2019.1 b/src/marc/include/creeps2019.1 new file mode 100644 index 000000000..09550f501 --- /dev/null +++ b/src/marc/include/creeps2019.1 @@ -0,0 +1,66 @@ +! common block definition file taken from respective MSC.Marc release and reformated to free format +!*********************************************************************** +! +! File: creeps.cmn +! +! MSC.Marc include file +! +real(pReal) cptim,timinc,timinc_p,timinc_s,timincm,timinc_a,timinc_b +integer icfte,icfst,icfeq,icftm,icetem,mcreep,jcreep,icpa,icftmp,icfstr,& + icfqcp,icfcpm,icrppr,icrcha,icpb,iicpmt,iicpa +real(pReal) time_beg_lcase,time_beg_inc,fractol,time_beg_pst +real(pReal) fraction_donn,timinc_ol2 +! +integer num_creepsr,num_creepsi,num_creeps2r +parameter(num_creepsr=7) +parameter(num_creepsi=17) +parameter(num_creeps2r=6) +common/marc_creeps/cptim,timinc,timinc_p,timinc_s,timincm,timinc_a,timinc_b,icfte,icfst,& + icfeq,icftm,icetem,mcreep,jcreep,icpa,icftmp,icfstr,icfqcp,icfcpm,icrppr,icrcha,icpb,iicpmt,iicpa +common/marc_creeps2/time_beg_lcase,time_beg_inc,fractol,time_beg_pst,fraction_donn,timinc_ol2 +! +! cptim Total time at begining of increment. +! timinc Incremental time for this step. +! icfte Local copy number of slopes of creep strain rate function +! versus temperature. Is -1 if exponent law used. +! icfst Local copy number of slopes of creep strain rate function +! versus equivalent stress. Is -1 if exponent law used. +! icfeq Local copy number of slopes of creep strain rate function +! versus equivalent strain. Is -1 if exponent law used. +! icftm Local copy number of slopes of creep strain rate function +! versus time. Is -1 if exponent law used. +! icetem Element number that needs to be checked for creep convergence +! or, if negative, the number of elements that need to +! be checked. In the latter case the elements to check +! are stored in ielcp. +! mcreep Maximum nuber of iterations for explicit creep. +! jcreep Counter of number of iterations for explicit creep +! procedure. jcreep must be .le. mcreep +! icpa Pointer to constant in creep strain rate expression. +! icftmp Pointer to temperature dependent creep strain rate data. +! icfstr Pointer to equivalent stress dependent creep strain rate data. +! icfqcp Pointer to equivalent creep strain dependent creep strain +! rate data. +! icfcpm Pointer to equivalent creep strain rate dependent +! creep strain rate data. +! icrppr Permanent copy of icreep +! icrcha Control flag for creep convergence checking , if set to +! 1 then testing on absolute change in stress and creep +! strain, not relative testing. Input data. +! icpb Pointer to storage of material id cross reference numbers. +! iicpmt +! iicpa Pointer to constant in creep strain rate expression +! +! time_beg_lcase time at the beginning of the current load case +! time_beg_inc time at the beginning of the current increment +! fractol fraction of loadcase or increment time when we +! consider it to be finished +! time_beg_pst time corresponding to first increment to be +! read in from thermal post file for auto step +! +! timinc_old Time step of the previous increment +! +!*********************************************************************** +!!$omp threadprivate(/marc_creeps/) +!!$omp threadprivate(/marc_creeps2/) +!! diff --git a/src/marc/include/creeps2020 b/src/marc/include/creeps2020 new file mode 100644 index 000000000..09550f501 --- /dev/null +++ b/src/marc/include/creeps2020 @@ -0,0 +1,66 @@ +! common block definition file taken from respective MSC.Marc release and reformated to free format +!*********************************************************************** +! +! File: creeps.cmn +! +! MSC.Marc include file +! +real(pReal) cptim,timinc,timinc_p,timinc_s,timincm,timinc_a,timinc_b +integer icfte,icfst,icfeq,icftm,icetem,mcreep,jcreep,icpa,icftmp,icfstr,& + icfqcp,icfcpm,icrppr,icrcha,icpb,iicpmt,iicpa +real(pReal) time_beg_lcase,time_beg_inc,fractol,time_beg_pst +real(pReal) fraction_donn,timinc_ol2 +! +integer num_creepsr,num_creepsi,num_creeps2r +parameter(num_creepsr=7) +parameter(num_creepsi=17) +parameter(num_creeps2r=6) +common/marc_creeps/cptim,timinc,timinc_p,timinc_s,timincm,timinc_a,timinc_b,icfte,icfst,& + icfeq,icftm,icetem,mcreep,jcreep,icpa,icftmp,icfstr,icfqcp,icfcpm,icrppr,icrcha,icpb,iicpmt,iicpa +common/marc_creeps2/time_beg_lcase,time_beg_inc,fractol,time_beg_pst,fraction_donn,timinc_ol2 +! +! cptim Total time at begining of increment. +! timinc Incremental time for this step. +! icfte Local copy number of slopes of creep strain rate function +! versus temperature. Is -1 if exponent law used. +! icfst Local copy number of slopes of creep strain rate function +! versus equivalent stress. Is -1 if exponent law used. +! icfeq Local copy number of slopes of creep strain rate function +! versus equivalent strain. Is -1 if exponent law used. +! icftm Local copy number of slopes of creep strain rate function +! versus time. Is -1 if exponent law used. +! icetem Element number that needs to be checked for creep convergence +! or, if negative, the number of elements that need to +! be checked. In the latter case the elements to check +! are stored in ielcp. +! mcreep Maximum nuber of iterations for explicit creep. +! jcreep Counter of number of iterations for explicit creep +! procedure. jcreep must be .le. mcreep +! icpa Pointer to constant in creep strain rate expression. +! icftmp Pointer to temperature dependent creep strain rate data. +! icfstr Pointer to equivalent stress dependent creep strain rate data. +! icfqcp Pointer to equivalent creep strain dependent creep strain +! rate data. +! icfcpm Pointer to equivalent creep strain rate dependent +! creep strain rate data. +! icrppr Permanent copy of icreep +! icrcha Control flag for creep convergence checking , if set to +! 1 then testing on absolute change in stress and creep +! strain, not relative testing. Input data. +! icpb Pointer to storage of material id cross reference numbers. +! iicpmt +! iicpa Pointer to constant in creep strain rate expression +! +! time_beg_lcase time at the beginning of the current load case +! time_beg_inc time at the beginning of the current increment +! fractol fraction of loadcase or increment time when we +! consider it to be finished +! time_beg_pst time corresponding to first increment to be +! read in from thermal post file for auto step +! +! timinc_old Time step of the previous increment +! +!*********************************************************************** +!!$omp threadprivate(/marc_creeps/) +!!$omp threadprivate(/marc_creeps2/) +!! diff --git a/src/material.f90 b/src/material.f90 index 749c9a3d8..a0c81a519 100644 --- a/src/material.f90 +++ b/src/material.f90 @@ -2,7 +2,7 @@ !> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH !> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH -!> @brief Parses material config file, either solverJobName.materialConfig or material.config +!> @brief Defines phase and homogenization !-------------------------------------------------------------------------------------------------- module material use prec @@ -10,52 +10,22 @@ module material use config use results use IO - use debug use rotations use discretization implicit none private - character(len=*), parameter, public :: & - ELASTICITY_hooke_label = 'hooke', & - PLASTICITY_none_label = 'none', & - PLASTICITY_isotropic_label = 'isotropic', & - PLASTICITY_phenopowerlaw_label = 'phenopowerlaw', & - PLASTICITY_kinehardening_label = 'kinehardening', & - PLASTICITY_dislotwin_label = 'dislotwin', & - PLASTICITY_disloucla_label = 'disloucla', & - PLASTICITY_nonlocal_label = 'nonlocal', & - SOURCE_thermal_dissipation_label = 'thermal_dissipation', & - SOURCE_thermal_externalheat_label = 'thermal_externalheat', & - SOURCE_damage_isoBrittle_label = 'damage_isobrittle', & - SOURCE_damage_isoDuctile_label = 'damage_isoductile', & - SOURCE_damage_anisoBrittle_label = 'damage_anisobrittle', & - SOURCE_damage_anisoDuctile_label = 'damage_anisoductile', & - KINEMATICS_thermal_expansion_label = 'thermal_expansion', & - KINEMATICS_cleavage_opening_label = 'cleavage_opening', & - KINEMATICS_slipplane_opening_label = 'slipplane_opening', & - STIFFNESS_DEGRADATION_damage_label = 'damage', & - THERMAL_isothermal_label = 'isothermal', & - THERMAL_adiabatic_label = 'adiabatic', & - THERMAL_conduction_label = 'conduction', & - DAMAGE_none_label = 'none', & - DAMAGE_local_label = 'local', & - DAMAGE_nonlocal_label = 'nonlocal', & - HOMOGENIZATION_none_label = 'none', & - HOMOGENIZATION_isostrain_label = 'isostrain', & - HOMOGENIZATION_rgc_label = 'rgc' - enum, bind(c); enumerator :: & - ELASTICITY_UNDEFINED_ID ,& - ELASTICITY_HOOKE_ID ,& - PLASTICITY_UNDEFINED_ID ,& + ELASTICITY_UNDEFINED_ID, & + ELASTICITY_HOOKE_ID, & + PLASTICITY_UNDEFINED_ID, & PLASTICITY_NONE_ID, & PLASTICITY_ISOTROPIC_ID, & PLASTICITY_PHENOPOWERLAW_ID, & PLASTICITY_KINEHARDENING_ID, & PLASTICITY_DISLOTWIN_ID, & - PLASTICITY_DISLOUCLA_ID, & + PLASTICITY_DISLOTUNGSTEN_ID, & PLASTICITY_NONLOCAL_ID, & SOURCE_UNDEFINED_ID ,& SOURCE_THERMAL_DISSIPATION_ID, & @@ -82,10 +52,10 @@ module material HOMOGENIZATION_RGC_ID end enum - integer(kind(ELASTICITY_undefined_ID)), dimension(:), allocatable, public, protected :: & - phase_elasticity !< elasticity of each phase - integer(kind(PLASTICITY_undefined_ID)), dimension(:), allocatable, public, protected :: & - phase_plasticity !< plasticity of each phase + character(len=pStringLen), public, protected, allocatable, dimension(:) :: & + material_name_phase, & !< name of each phase + material_name_homogenization !< name of each homogenization + integer(kind(THERMAL_isothermal_ID)), dimension(:), allocatable, public, protected :: & thermal_type !< thermal transport model integer(kind(DAMAGE_none_ID)), dimension(:), allocatable, public, protected :: & @@ -94,24 +64,10 @@ module material homogenization_type !< type of each homogenization integer, public, protected :: & - material_Nphase, & !< number of phases - material_Nhomogenization !< number of homogenizations - - integer(kind(SOURCE_undefined_ID)), dimension(:,:), allocatable, public, protected :: & - phase_source, & !< active sources mechanisms of each phase - phase_kinematics, & !< active kinematic mechanisms of each phase - phase_stiffnessDegradation !< active stiffness degradation mechanisms of each phase - - integer, public, protected :: & - homogenization_maxNgrains !< max number of grains in any USED homogenization + homogenization_maxNconstituents !< max number of grains in any USED homogenization integer, dimension(:), allocatable, public, protected :: & - phase_Nsources, & !< number of source mechanisms active in each phase - phase_Nkinematics, & !< number of kinematic mechanisms active in each phase - phase_NstiffnessDegradations, & !< number of stiffness degradation mechanisms active in each phase - phase_elasticityInstance, & !< instance of particular elasticity of each phase - phase_plasticityInstance, & !< instance of particular plasticity of each phase - homogenization_Ngrains, & !< number of grains in each homogenization + homogenization_Nconstituents, & !< number of grains in each homogenization homogenization_typeInstance, & !< instance of particular type of each homogenization thermal_typeInstance, & !< instance of particular type of each thermal transport damage_typeInstance !< instance of particular type of each nonlocal damage @@ -121,43 +77,22 @@ module material damage_initialPhi !< initial damage per each homogenization integer, dimension(:), allocatable, public, protected :: & ! (elem) - material_homogenizationAt !< homogenization ID of each element (copy of discretization_homogenizationAt) + material_homogenizationAt !< homogenization ID of each element integer, dimension(:,:), allocatable, public, target :: & ! (ip,elem) ToDo: ugly target for mapping hack material_homogenizationMemberAt !< position of the element within its homogenization instance - integer, dimension(:,:), allocatable, public, protected :: & ! (constituent,elem) + integer, dimension(:,:), allocatable, public, protected :: & ! (constituent,elem) material_phaseAt !< phase ID of each element - integer, dimension(:,:,:), allocatable, public, protected :: & ! (constituent,elem) + integer, dimension(:,:,:), allocatable, public, protected :: & ! (constituent,IP,elem) material_phaseMemberAt !< position of the element within its phase instance - type(tPlasticState), allocatable, dimension(:), public :: & - plasticState - type(tSourceState), allocatable, dimension(:), public :: & - sourceState type(tState), allocatable, dimension(:), public :: & homogState, & thermalState, & damageState - integer, dimension(:,:,:), allocatable, public, protected :: & - material_texture !< texture (index) of each grain,IP,element. Only used by plastic_nonlocal - type(Rotation), dimension(:,:,:), allocatable, public, protected :: & material_orientation0 !< initial orientation of each grain,IP,element - logical, dimension(:), allocatable, public, protected :: & - phase_localPlasticity !< flags phases with local constitutive law - - integer, dimension(:), allocatable, private :: & - microstructure_Nconstituents !< number of constituents in each microstructure - - integer, dimension(:,:), allocatable, private :: & - microstructure_phase, & !< phase IDs of each microstructure - microstructure_texture !< texture IDs of each microstructure - - type(Rotation), dimension(:), allocatable, private :: & - texture_orientation !< Euler angles in material.config (possibly rotated for alignment) - - ! BEGIN DEPRECATED integer, dimension(:,:), allocatable, private, target :: mappingHomogenizationConst !< mapping from material points to offset in constant state/field ! END DEPRECATED @@ -173,24 +108,28 @@ module material public :: & material_init, & - material_allocateState, & - ELASTICITY_HOOKE_ID ,& + ELASTICITY_UNDEFINED_ID, & + ELASTICITY_HOOKE_ID, & + PLASTICITY_UNDEFINED_ID, & PLASTICITY_NONE_ID, & PLASTICITY_ISOTROPIC_ID, & PLASTICITY_PHENOPOWERLAW_ID, & PLASTICITY_KINEHARDENING_ID, & PLASTICITY_DISLOTWIN_ID, & - PLASTICITY_DISLOUCLA_ID, & + PLASTICITY_DISLOTUNGSTEN_ID, & PLASTICITY_NONLOCAL_ID, & + SOURCE_UNDEFINED_ID ,& SOURCE_THERMAL_DISSIPATION_ID, & SOURCE_THERMAL_EXTERNALHEAT_ID, & SOURCE_DAMAGE_ISOBRITTLE_ID, & SOURCE_DAMAGE_ISODUCTILE_ID, & SOURCE_DAMAGE_ANISOBRITTLE_ID, & SOURCE_DAMAGE_ANISODUCTILE_ID, & + KINEMATICS_UNDEFINED_ID ,& KINEMATICS_CLEAVAGE_OPENING_ID, & KINEMATICS_SLIPPLANE_OPENING_ID, & KINEMATICS_THERMAL_EXPANSION_ID, & + STIFFNESS_DEGRADATION_UNDEFINED_ID, & STIFFNESS_DEGRADATION_DAMAGE_ID, & THERMAL_ISOTHERMAL_ID, & THERMAL_ADIABATIC_ID, & @@ -207,150 +146,47 @@ contains !-------------------------------------------------------------------------------------------------- !> @brief parses material configuration file !-------------------------------------------------------------------------------------------------- -subroutine material_init +subroutine material_init(restart) - integer :: i,e,m,c,h, myDebug, myPhase, myHomog, myMicro - integer, dimension(:), allocatable :: & - CounterPhase, & - CounterHomogenization + logical, intent(in) :: restart + integer :: myHomog - myDebug = debug_level(debug_material) - - write(6,'(/,a)') ' <<<+- material init -+>>>'; flush(6) - - call material_parsePhase() - if (iand(myDebug,debug_levelBasic) /= 0) write(6,'(a)') ' Phase parsed'; flush(6) - - call material_parseMicrostructure() - if (iand(myDebug,debug_levelBasic) /= 0) write(6,'(a)') ' Microstructure parsed'; flush(6) - - call material_parseHomogenization() - if (iand(myDebug,debug_levelBasic) /= 0) write(6,'(a)') ' Homogenization parsed'; flush(6) - - call material_parseTexture() - if (iand(myDebug,debug_levelBasic) /= 0) write(6,'(a)') ' Texture parsed'; flush(6) - - material_Nphase = size(config_phase) - material_Nhomogenization = size(config_homogenization) + print'(/,a)', ' <<<+- material init -+>>>'; flush(IO_STDOUT) - allocate(plasticState(material_Nphase)) - allocate(sourceState (material_Nphase)) - do myPhase = 1,material_Nphase - allocate(sourceState(myPhase)%p(phase_Nsources(myPhase))) - enddo + call material_parseMaterial + print*, 'Material parsed' - allocate(homogState (material_Nhomogenization)) - allocate(thermalState (material_Nhomogenization)) - allocate(damageState (material_Nhomogenization)) - - allocate(thermalMapping (material_Nhomogenization)) - allocate(damageMapping (material_Nhomogenization)) - - allocate(temperature (material_Nhomogenization)) - allocate(damage (material_Nhomogenization)) - - allocate(temperatureRate (material_Nhomogenization)) - - do m = 1,size(config_microstructure) - if(minval(microstructure_phase(1:microstructure_Nconstituents(m),m)) < 1 .or. & - maxval(microstructure_phase(1:microstructure_Nconstituents(m),m)) > size(config_phase)) & - call IO_error(150,m,ext_msg='phase') - if(minval(microstructure_texture(1:microstructure_Nconstituents(m),m)) < 1 .or. & - maxval(microstructure_texture(1:microstructure_Nconstituents(m),m)) > size(config_texture)) & - call IO_error(150,m,ext_msg='texture') - if(microstructure_Nconstituents(m) < 1) & - call IO_error(151,m) - enddo - if(homogenization_maxNgrains > size(microstructure_phase,1)) call IO_error(148) - - debugOut: if (iand(myDebug,debug_levelExtensive) /= 0) then - write(6,'(/,a,/)') ' MATERIAL configuration' - write(6,'(a32,1x,a16,1x,a6)') 'homogenization ','type ','grains' - do h = 1,size(config_homogenization) - write(6,'(1x,a32,1x,a16,1x,i6)') config_name_homogenization(h),homogenization_type(h),homogenization_Ngrains(h) - enddo - write(6,'(/,a14,18x,1x,a11,1x,a12,1x,a13)') 'microstructure','constituents' - do m = 1,size(config_microstructure) - write(6,'(1x,a32,1x,i12)') config_name_microstructure(m), microstructure_Nconstituents(m) - if (microstructure_Nconstituents(m) > 0) then - do c = 1,microstructure_Nconstituents(m) - write(6,'(a1,1x,a32,1x,a32)') '>',config_name_phase(microstructure_phase(c,m)),& - config_name_texture(microstructure_texture(c,m)) - enddo - write(6,*) - endif - enddo - endif debugOut - - allocate(material_phaseAt(homogenization_maxNgrains,discretization_nElem), source=0) - allocate(material_texture(homogenization_maxNgrains,discretization_nIP,discretization_nElem),source=0) !this is only needed by plasticity nonlocal - allocate(material_orientation0(homogenization_maxNgrains,discretization_nIP,discretization_nElem)) - - do e = 1, discretization_nElem - do i = 1, discretization_nIP - myMicro = discretization_microstructureAt(e) - do c = 1, homogenization_Ngrains(discretization_homogenizationAt(e)) - if(microstructure_phase(c,myMicro) > 0) then - material_phaseAt(c,e) = microstructure_phase(c,myMicro) - else - call IO_error(150,ext_msg='phase') - endif - if(microstructure_texture(c,myMicro) > 0) then - material_texture(c,i,e) = microstructure_texture(c,myMicro) - material_orientation0(c,i,e) = texture_orientation(material_texture(c,i,e)) - else - call IO_error(150,ext_msg='texture') - endif - enddo - enddo - enddo - - deallocate(microstructure_phase) - deallocate(microstructure_texture) - deallocate(texture_orientation) + call material_parseHomogenization + print*, 'Homogenization parsed' - allocate(material_homogenizationAt,source=discretization_homogenizationAt) - allocate(material_homogenizationMemberAt(discretization_nIP,discretization_nElem),source=0) + allocate(homogState (size(material_name_homogenization))) + allocate(thermalState (size(material_name_homogenization))) + allocate(damageState (size(material_name_homogenization))) - allocate(CounterHomogenization(size(config_homogenization)),source=0) - do e = 1, discretization_nElem - do i = 1, discretization_nIP - CounterHomogenization(material_homogenizationAt(e)) = & - CounterHomogenization(material_homogenizationAt(e)) + 1 - material_homogenizationMemberAt(i,e) = CounterHomogenization(material_homogenizationAt(e)) - enddo - enddo + allocate(thermalMapping (size(material_name_homogenization))) + allocate(damageMapping (size(material_name_homogenization))) - allocate(material_phaseMemberAt(homogenization_maxNgrains,discretization_nIP,discretization_nElem),source=0) + allocate(temperature (size(material_name_homogenization))) + allocate(damage (size(material_name_homogenization))) - allocate(CounterPhase(size(config_phase)),source=0) - do e = 1, discretization_nElem - do i = 1, discretization_nIP - do c = 1, homogenization_maxNgrains - CounterPhase(material_phaseAt(c,e)) = & - CounterPhase(material_phaseAt(c,e)) + 1 - material_phaseMemberAt(c,i,e) = CounterPhase(material_phaseAt(c,e)) - enddo - enddo - enddo + allocate(temperatureRate (size(material_name_homogenization))) - call config_deallocate('material.config/microstructure') - call config_deallocate('material.config/texture') - - call results_openJobFile - call results_mapping_constituent(material_phaseAt,material_phaseMemberAt,config_name_phase) - call results_mapping_materialpoint(material_homogenizationAt,material_homogenizationMemberAt,config_name_homogenization) - call results_closeJobFile + if (.not. restart) then + call results_openJobFile + call results_mapping_constituent(material_phaseAt,material_phaseMemberAt,material_name_phase) + call results_mapping_homogenization(material_homogenizationAt,material_homogenizationMemberAt,material_name_homogenization) + call results_closeJobFile + endif !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ! BEGIN DEPRECATED - allocate(mappingHomogenizationConst( discretization_nIP,discretization_nElem),source=1) + allocate(mappingHomogenizationConst( discretization_nIPs,discretization_Nelems),source=1) ! hack needed to initialize field values used during constitutive initialization - do myHomog = 1,size(config_homogenization) + do myHomog = 1, size(material_name_homogenization) thermalMapping (myHomog)%p => mappingHomogenizationConst damageMapping (myHomog)%p => mappingHomogenizationConst allocate(temperature (myHomog)%p(1), source=thermal_initialT(myHomog)) @@ -361,372 +197,212 @@ subroutine material_init end subroutine material_init + !-------------------------------------------------------------------------------------------------- !> @brief parses the homogenization part from the material configuration +! ToDo: This should be done in homogenization !-------------------------------------------------------------------------------------------------- subroutine material_parseHomogenization + class(tNode), pointer :: & + material_homogenization, & + homog, & + homogMech, & + homogThermal, & + homogDamage + integer :: h - character(len=pStringLen) :: tag - logical, dimension(:), allocatable :: homogenization_active + material_homogenization => config_material%get('homogenization') - allocate(homogenization_type(size(config_homogenization)), source=HOMOGENIZATION_undefined_ID) - allocate(thermal_type(size(config_homogenization)), source=THERMAL_isothermal_ID) - allocate(damage_type (size(config_homogenization)), source=DAMAGE_none_ID) - allocate(homogenization_typeInstance(size(config_homogenization)), source=0) - allocate(thermal_typeInstance(size(config_homogenization)), source=0) - allocate(damage_typeInstance(size(config_homogenization)), source=0) - allocate(homogenization_Ngrains(size(config_homogenization)), source=0) - allocate(homogenization_active(size(config_homogenization)), source=.false.) !!!!!!!!!!!!!!! - allocate(thermal_initialT(size(config_homogenization)), source=300.0_pReal) - allocate(damage_initialPhi(size(config_homogenization)), source=1.0_pReal) + allocate(homogenization_type(size(material_name_homogenization)), source=HOMOGENIZATION_undefined_ID) + allocate(thermal_type(size(material_name_homogenization)), source=THERMAL_isothermal_ID) + allocate(damage_type (size(material_name_homogenization)), source=DAMAGE_none_ID) + allocate(homogenization_typeInstance(size(material_name_homogenization)), source=0) + allocate(thermal_typeInstance(size(material_name_homogenization)), source=0) + allocate(damage_typeInstance(size(material_name_homogenization)), source=0) + allocate(thermal_initialT(size(material_name_homogenization)), source=300.0_pReal) + allocate(damage_initialPhi(size(material_name_homogenization)), source=1.0_pReal) - forall (h = 1:size(config_homogenization)) & - homogenization_active(h) = any(discretization_homogenizationAt == h) - - - do h=1, size(config_homogenization) - - tag = config_homogenization(h)%getString('mech') - select case (trim(tag)) - case(HOMOGENIZATION_NONE_label) + do h=1, size(material_name_homogenization) + homog => material_homogenization%get(h) + homogMech => homog%get('mech') + select case (homogMech%get_asString('type')) + case('none') homogenization_type(h) = HOMOGENIZATION_NONE_ID - homogenization_Ngrains(h) = 1 - case(HOMOGENIZATION_ISOSTRAIN_label) + case('isostrain') homogenization_type(h) = HOMOGENIZATION_ISOSTRAIN_ID - homogenization_Ngrains(h) = config_homogenization(h)%getInt('nconstituents') - case(HOMOGENIZATION_RGC_label) + case('RGC') homogenization_type(h) = HOMOGENIZATION_RGC_ID - homogenization_Ngrains(h) = config_homogenization(h)%getInt('nconstituents') case default - call IO_error(500,ext_msg=trim(tag)) + call IO_error(500,ext_msg=homogMech%get_asString('type')) end select homogenization_typeInstance(h) = count(homogenization_type==homogenization_type(h)) - if (config_homogenization(h)%keyExists('thermal')) then - thermal_initialT(h) = config_homogenization(h)%getFloat('t0',defaultVal=300.0_pReal) - - tag = config_homogenization(h)%getString('thermal') - select case (trim(tag)) - case(THERMAL_isothermal_label) - thermal_type(h) = THERMAL_isothermal_ID - case(THERMAL_adiabatic_label) - thermal_type(h) = THERMAL_adiabatic_ID - case(THERMAL_conduction_label) - thermal_type(h) = THERMAL_conduction_ID - case default - call IO_error(500,ext_msg=trim(tag)) - end select + if(homog%contains('thermal')) then + homogThermal => homog%get('thermal') + thermal_initialT(h) = homogThermal%get_asFloat('T_0',defaultVal=300.0_pReal) + select case (homogThermal%get_asString('type')) + case('isothermal') + thermal_type(h) = THERMAL_isothermal_ID + case('adiabatic') + thermal_type(h) = THERMAL_adiabatic_ID + case('conduction') + thermal_type(h) = THERMAL_conduction_ID + case default + call IO_error(500,ext_msg=homogThermal%get_asString('type')) + end select endif - if (config_homogenization(h)%keyExists('damage')) then - damage_initialPhi(h) = config_homogenization(h)%getFloat('initialdamage',defaultVal=1.0_pReal) - - tag = config_homogenization(h)%getString('damage') - select case (trim(tag)) - case(DAMAGE_NONE_label) - damage_type(h) = DAMAGE_none_ID - case(DAMAGE_LOCAL_label) - damage_type(h) = DAMAGE_local_ID - case(DAMAGE_NONLOCAL_label) - damage_type(h) = DAMAGE_nonlocal_ID - case default - call IO_error(500,ext_msg=trim(tag)) - end select - + if(homog%contains('damage')) then + homogDamage => homog%get('damage') + damage_initialPhi(h) = homogDamage%get_asFloat('phi_0',defaultVal=1.0_pReal) + select case (homogDamage%get_asString('type')) + case('none') + damage_type(h) = DAMAGE_none_ID + case('local') + damage_type(h) = DAMAGE_local_ID + case('nonlocal') + damage_type(h) = DAMAGE_nonlocal_ID + case default + call IO_error(500,ext_msg=homogDamage%get_asString('type')) + end select endif - enddo - do h=1, size(config_homogenization) + do h=1, size(material_name_homogenization) homogenization_typeInstance(h) = count(homogenization_type(1:h) == homogenization_type(h)) thermal_typeInstance(h) = count(thermal_type (1:h) == thermal_type (h)) damage_typeInstance(h) = count(damage_type (1:h) == damage_type (h)) enddo - homogenization_maxNgrains = maxval(homogenization_Ngrains,homogenization_active) - end subroutine material_parseHomogenization !-------------------------------------------------------------------------------------------------- -!> @brief parses the microstructure part in the material configuration file +!> @brief parses the material part in the material configuration file !-------------------------------------------------------------------------------------------------- -subroutine material_parseMicrostructure +subroutine material_parseMaterial - character(len=pStringLen), dimension(:), allocatable :: & - strings - integer, allocatable, dimension(:) :: chunkPos - integer :: m, c, i - character(len=pStringLen) :: & - tag - real(pReal), dimension(:,:), allocatable :: & - microstructure_fraction !< vol fraction of each constituent in microstructure + class(tNode), pointer :: materials, & !> list of materials + material, & !> material definition + constituents, & !> list of constituents + constituent, & !> constituent definition + phases, & + homogenizations, & + homogenization + + integer, dimension(:), allocatable :: & + counterPhase, & + counterHomogenization + + real(pReal) :: & + frac integer :: & - maxNconstituents !< max number of constituents in any phase + e, i, c, & + h - allocate(microstructure_Nconstituents(size(config_microstructure)), source=0) + materials => config_material%get('material') + phases => config_material%get('phase') + homogenizations => config_material%get('homogenization') - if(any(discretization_microstructureAt > size(config_microstructure))) & - call IO_error(155,ext_msg='More microstructures in geometry than sections in material.config') + call sanityCheck(materials, homogenizations) + material_name_phase = getKeys(phases) + material_name_homogenization = getKeys(homogenizations) - do m=1, size(config_microstructure) - microstructure_Nconstituents(m) = config_microstructure(m)%countKeys('(constituent)') + allocate(homogenization_Nconstituents(homogenizations%length)) + do h=1, homogenizations%length + homogenization => homogenizations%get(h) + homogenization_Nconstituents(h) = homogenization%get_asInt('N_constituents') enddo + homogenization_maxNconstituents = maxval(homogenization_Nconstituents) - maxNconstituents = maxval(microstructure_Nconstituents) - allocate(microstructure_phase (maxNconstituents,size(config_microstructure)),source=0) - allocate(microstructure_texture (maxNconstituents,size(config_microstructure)),source=0) - allocate(microstructure_fraction(maxNconstituents,size(config_microstructure)),source=0.0_pReal) + allocate(counterPhase(phases%length),source=0) + allocate(counterHomogenization(homogenizations%length),source=0) - allocate(strings(1)) ! Intel 16.0 Bug - do m=1, size(config_microstructure) - strings = config_microstructure(m)%getStrings('(constituent)',raw=.true.) - do c = 1, size(strings) - chunkPos = IO_stringPos(strings(c)) + allocate(material_homogenizationAt(discretization_Nelems),source=0) + allocate(material_homogenizationMemberAt(discretization_nIPs,discretization_Nelems),source=0) + allocate(material_phaseAt(homogenization_maxNconstituents,discretization_Nelems),source=0) + allocate(material_phaseMemberAt(homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems),source=0) - do i = 1,5,2 - tag = IO_stringValue(strings(c),chunkPos,i) + allocate(material_orientation0(homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems)) - select case (tag) - case('phase') - microstructure_phase(c,m) = IO_intValue(strings(c),chunkPos,i+1) - case('texture') - microstructure_texture(c,m) = IO_intValue(strings(c),chunkPos,i+1) - case('fraction') - microstructure_fraction(c,m) = IO_floatValue(strings(c),chunkPos,i+1) - end select + do e = 1, discretization_Nelems + material => materials%get(discretization_materialAt(e)) + constituents => material%get('constituents') + material_homogenizationAt(e) = homogenizations%getIndex(material%get_asString('homogenization')) + do i = 1, discretization_nIPs + counterHomogenization(material_homogenizationAt(e)) = counterHomogenization(material_homogenizationAt(e)) + 1 + material_homogenizationMemberAt(i,e) = counterHomogenization(material_homogenizationAt(e)) + enddo + + frac = 0.0_pReal + do c = 1, constituents%length + constituent => constituents%get(c) + frac = frac + constituent%get_asFloat('fraction') + + material_phaseAt(c,e) = phases%getIndex(constituent%get_asString('phase')) + do i = 1, discretization_nIPs + counterPhase(material_phaseAt(c,e)) = counterPhase(material_phaseAt(c,e)) + 1 + material_phaseMemberAt(c,i,e) = counterPhase(material_phaseAt(c,e)) + + call material_orientation0(c,i,e)%fromQuaternion(constituent%get_asFloats('O',requiredSize=4)) ! should be done in crystallite enddo + enddo - if (dNeq(sum(microstructure_fraction(:,m)),1.0_pReal)) call IO_error(153,ext_msg=config_name_microstructure(m)) - enddo - - -end subroutine material_parseMicrostructure - - -!-------------------------------------------------------------------------------------------------- -!> @brief parses the phase part in the material configuration file -!-------------------------------------------------------------------------------------------------- -subroutine material_parsePhase - - integer :: sourceCtr, kinematicsCtr, stiffDegradationCtr, p - character(len=pStringLen), dimension(:), allocatable :: str - - - allocate(phase_elasticity(size(config_phase)),source=ELASTICITY_undefined_ID) - allocate(phase_plasticity(size(config_phase)),source=PLASTICITY_undefined_ID) - allocate(phase_Nsources(size(config_phase)), source=0) - allocate(phase_Nkinematics(size(config_phase)), source=0) - allocate(phase_NstiffnessDegradations(size(config_phase)),source=0) - allocate(phase_localPlasticity(size(config_phase)), source=.false.) - - do p=1, size(config_phase) - phase_Nsources(p) = config_phase(p)%countKeys('(source)') - phase_Nkinematics(p) = config_phase(p)%countKeys('(kinematics)') - phase_NstiffnessDegradations(p) = config_phase(p)%countKeys('(stiffness_degradation)') - phase_localPlasticity(p) = .not. config_phase(p)%KeyExists('/nonlocal/') - - select case (config_phase(p)%getString('elasticity')) - case (ELASTICITY_HOOKE_label) - phase_elasticity(p) = ELASTICITY_HOOKE_ID - case default - call IO_error(200,ext_msg=trim(config_phase(p)%getString('elasticity'))) - end select - - select case (config_phase(p)%getString('plasticity')) - case (PLASTICITY_NONE_label) - phase_plasticity(p) = PLASTICITY_NONE_ID - case (PLASTICITY_ISOTROPIC_label) - phase_plasticity(p) = PLASTICITY_ISOTROPIC_ID - case (PLASTICITY_PHENOPOWERLAW_label) - phase_plasticity(p) = PLASTICITY_PHENOPOWERLAW_ID - case (PLASTICITY_KINEHARDENING_label) - phase_plasticity(p) = PLASTICITY_KINEHARDENING_ID - case (PLASTICITY_DISLOTWIN_label) - phase_plasticity(p) = PLASTICITY_DISLOTWIN_ID - case (PLASTICITY_DISLOUCLA_label) - phase_plasticity(p) = PLASTICITY_DISLOUCLA_ID - case (PLASTICITY_NONLOCAL_label) - phase_plasticity(p) = PLASTICITY_NONLOCAL_ID - case default - call IO_error(201,ext_msg=trim(config_phase(p)%getString('plasticity'))) - end select + if (dNeq(frac,1.0_pReal)) call IO_error(153,ext_msg='constituent') enddo - allocate(phase_source(maxval(phase_Nsources),size(config_phase)), source=SOURCE_undefined_ID) - allocate(phase_kinematics(maxval(phase_Nkinematics),size(config_phase)), source=KINEMATICS_undefined_ID) - allocate(phase_stiffnessDegradation(maxval(phase_NstiffnessDegradations),size(config_phase)), & - source=STIFFNESS_DEGRADATION_undefined_ID) - do p=1, size(config_phase) -#if defined(__GFORTRAN__) || defined(__PGI) - str = ['GfortranBug86277'] - str = config_phase(p)%getStrings('(source)',defaultVal=str) - if (str(1) == 'GfortranBug86277') str = [character(len=pStringLen)::] -#else - str = config_phase(p)%getStrings('(source)',defaultVal=[character(len=pStringLen)::]) -#endif - do sourceCtr = 1, size(str) - select case (trim(str(sourceCtr))) - case (SOURCE_thermal_dissipation_label) - phase_source(sourceCtr,p) = SOURCE_thermal_dissipation_ID - case (SOURCE_thermal_externalheat_label) - phase_source(sourceCtr,p) = SOURCE_thermal_externalheat_ID - case (SOURCE_damage_isoBrittle_label) - phase_source(sourceCtr,p) = SOURCE_damage_isoBrittle_ID - case (SOURCE_damage_isoDuctile_label) - phase_source(sourceCtr,p) = SOURCE_damage_isoDuctile_ID - case (SOURCE_damage_anisoBrittle_label) - phase_source(sourceCtr,p) = SOURCE_damage_anisoBrittle_ID - case (SOURCE_damage_anisoDuctile_label) - phase_source(sourceCtr,p) = SOURCE_damage_anisoDuctile_ID - end select - enddo - -#if defined(__GFORTRAN__) || defined(__PGI) - str = ['GfortranBug86277'] - str = config_phase(p)%getStrings('(kinematics)',defaultVal=str) - if (str(1) == 'GfortranBug86277') str = [character(len=pStringLen)::] -#else - str = config_phase(p)%getStrings('(kinematics)',defaultVal=[character(len=pStringLen)::]) -#endif - do kinematicsCtr = 1, size(str) - select case (trim(str(kinematicsCtr))) - case (KINEMATICS_cleavage_opening_label) - phase_kinematics(kinematicsCtr,p) = KINEMATICS_cleavage_opening_ID - case (KINEMATICS_slipplane_opening_label) - phase_kinematics(kinematicsCtr,p) = KINEMATICS_slipplane_opening_ID - case (KINEMATICS_thermal_expansion_label) - phase_kinematics(kinematicsCtr,p) = KINEMATICS_thermal_expansion_ID - end select - enddo -#if defined(__GFORTRAN__) || defined(__PGI) - str = ['GfortranBug86277'] - str = config_phase(p)%getStrings('(stiffness_degradation)',defaultVal=str) - if (str(1) == 'GfortranBug86277') str = [character(len=pStringLen)::] -#else - str = config_phase(p)%getStrings('(stiffness_degradation)',defaultVal=[character(len=pStringLen)::]) -#endif - do stiffDegradationCtr = 1, size(str) - select case (trim(str(stiffDegradationCtr))) - case (STIFFNESS_DEGRADATION_damage_label) - phase_stiffnessDegradation(stiffDegradationCtr,p) = STIFFNESS_DEGRADATION_damage_ID - end select - enddo - enddo - - allocate(phase_plasticityInstance(size(config_phase)),source=0) - allocate(phase_elasticityInstance(size(config_phase)),source=0) - - do p=1, size(config_phase) - phase_elasticityInstance(p) = count(phase_elasticity(1:p) == phase_elasticity(p)) - phase_plasticityInstance(p) = count(phase_plasticity(1:p) == phase_plasticity(p)) - enddo - -end subroutine material_parsePhase +end subroutine material_parseMaterial !-------------------------------------------------------------------------------------------------- -!> @brief parses the texture part in the material configuration file +!> @brief Check if material.yaml is consistent and contains sufficient # of materials !-------------------------------------------------------------------------------------------------- -subroutine material_parseTexture +subroutine sanityCheck(materials,homogenizations) - integer :: j,t - character(len=pStringLen), dimension(:), allocatable :: strings ! Values for given key in material config - integer, dimension(:), allocatable :: chunkPos - real(pReal), dimension(3,3) :: transformation ! maps texture to microstructure coordinate system - real(pReal), dimension(3) :: Eulers ! Euler angles in degrees from file - type(rotation) :: transformation_ + class(tNode), intent(in) :: materials, & + homogenizations - do t=1, size(config_texture) - if (config_texture(t)%countKeys('(gauss)') /= 1) call IO_error(147,ext_msg='count((gauss)) != 1') - if (config_texture(t)%keyExists('symmetry')) call IO_error(147,ext_msg='symmetry') - if (config_texture(t)%keyExists('(random)')) call IO_error(147,ext_msg='(random)') - if (config_texture(t)%keyExists('(fiber)')) call IO_error(147,ext_msg='(fiber)') + class(tNode), pointer :: material, & + homogenization, & + constituents + integer :: m + + if(maxval(discretization_materialAt) > materials%length) & + call IO_error(155,ext_msg='More materials requested than found in material.yaml') + + do m = 1, materials%length + material => materials%get(m) + constituents => material%get('constituents') + homogenization => homogenizations%get(material%get_asString('homogenization')) + if(constituents%length /= homogenization%get_asInt('N_constituents')) call IO_error(148) enddo - allocate(texture_orientation(size(config_texture))) +end subroutine sanityCheck - do t=1, size(config_texture) - strings = config_texture(t)%getStrings('(gauss)',raw= .true.) - chunkPos = IO_stringPos(strings(1)) - do j = 1,5,2 - select case (IO_stringValue(strings(1),chunkPos,j)) - case('phi1') - Eulers(1) = IO_floatValue(strings(1),chunkPos,j+1) - case('phi') - Eulers(2) = IO_floatValue(strings(1),chunkPos,j+1) - case('phi2') - Eulers(3) = IO_floatValue(strings(1),chunkPos,j+1) - end select - enddo - call texture_orientation(t)%fromEulers(Eulers,degrees=.true.) +!-------------------------------------------------------------------------------------------------- +!> @brief Get all keys from a dictionary (currently with #_ prefix) +!-------------------------------------------------------------------------------------------------- +function getKeys(dict) - if (config_texture(t)%keyExists('axes')) then - strings = config_texture(t)%getStrings('axes') - do j = 1, 3 ! look for "x", "y", and "z" entries - select case (strings(j)) - case('x', '+x') - transformation(j,1:3) = [ 1.0_pReal, 0.0_pReal, 0.0_pReal] ! original axis is now +x-axis - case('-x') - transformation(j,1:3) = [-1.0_pReal, 0.0_pReal, 0.0_pReal] ! original axis is now -x-axis - case('y', '+y') - transformation(j,1:3) = [ 0.0_pReal, 1.0_pReal, 0.0_pReal] ! original axis is now +y-axis - case('-y') - transformation(j,1:3) = [ 0.0_pReal,-1.0_pReal, 0.0_pReal] ! original axis is now -y-axis - case('z', '+z') - transformation(j,1:3) = [ 0.0_pReal, 0.0_pReal, 1.0_pReal] ! original axis is now +z-axis - case('-z') - transformation(j,1:3) = [ 0.0_pReal, 0.0_pReal,-1.0_pReal] ! original axis is now -z-axis - case default - call IO_error(157,t) - end select - enddo - call transformation_%fromMatrix(transformation) - texture_orientation(t) = texture_orientation(t) * transformation_ - endif + class(tNode), intent(in) :: dict + character(len=pStringLen), dimension(:), allocatable :: getKeys + integer :: i + character(len=pStringLen) :: sectionName + + allocate(getKeys(dict%length)) + do i=1, dict%length + write(sectionName,'(i0,a)') i,'_' + getKeys(i) = trim(adjustl(sectionName))//dict%getKey(i) !ToDo: remove prefix enddo -end subroutine material_parseTexture - - -!-------------------------------------------------------------------------------------------------- -!> @brief Allocate the components of the state structure for a given phase -!-------------------------------------------------------------------------------------------------- -subroutine material_allocateState(state, & - NipcMyPhase,sizeState,sizeDotState,sizeDeltaState) - - class(tState), intent(out) :: & - state - integer, intent(in) :: & - NipcMyPhase, & - sizeState, & - sizeDotState, & - sizeDeltaState - - state%sizeState = sizeState - state%sizeDotState = sizeDotState - state%sizeDeltaState = sizeDeltaState - state%offsetDeltaState = sizeState-sizeDeltaState ! deltaState occupies latter part of state by definition - - allocate(state%atol (sizeState), source=0.0_pReal) - allocate(state%state0 (sizeState,NipcMyPhase), source=0.0_pReal) - allocate(state%partionedState0(sizeState,NipcMyPhase), source=0.0_pReal) - allocate(state%subState0 (sizeState,NipcMyPhase), source=0.0_pReal) - allocate(state%state (sizeState,NipcMyPhase), source=0.0_pReal) - - allocate(state%dotState (sizeDotState,NipcMyPhase), source=0.0_pReal) - - allocate(state%deltaState(sizeDeltaState,NipcMyPhase), source=0.0_pReal) - -end subroutine material_allocateState - +end function getKeys end module material diff --git a/src/math.f90 b/src/math.f90 index 070751de8..163f4df6a 100644 --- a/src/math.f90 +++ b/src/math.f90 @@ -8,7 +8,8 @@ module math use prec use IO - use numerics + use config + use YAML_types use LAPACK_interface implicit none @@ -17,8 +18,7 @@ module math ! do not make use associated entities available to other modules private :: & prec, & - IO, & - numerics + IO #endif real(pReal), parameter :: PI = acos(-1.0_pReal) !< ratio of a circle's circumference to its diameter @@ -72,14 +72,9 @@ module math 3,3 & ],shape(MAPPLAIN)) !< arrangement in Plain notation - interface math_eye - module procedure math_identity2nd - end interface math_eye - - !--------------------------------------------------------------------------------------------------- private :: & - unitTest + selfTest contains @@ -89,11 +84,18 @@ contains subroutine math_init real(pReal), dimension(4) :: randTest - integer :: randSize + integer :: & + randSize, & + randomSeed !< fixed seeding for pseudo-random number generator, Default 0: use random seed integer, dimension(:), allocatable :: randInit + class(tNode), pointer :: & + num_generic + + print'(/,a)', ' <<<+- math init -+>>>'; flush(IO_STDOUT) - write(6,'(/,a)') ' <<<+- math init -+>>>'; flush(6) - + num_generic => config_numerics%get('generic',defaultVal=emptyDict) + randomSeed = num_generic%get_asInt('random_seed', defaultVal = 0) + call random_seed(size=randSize) allocate(randInit(randSize)) if (randomSeed > 0) then @@ -107,23 +109,24 @@ subroutine math_init call random_seed(put = randInit) call random_number(randTest) - write(6,'(a,i2)') ' size of random seed: ', randSize - write(6,'(a,i0)') ' value of random seed: ', randInit(1) - write(6,'(a,4(/,26x,f17.14),/)') ' start of random sequence: ', randTest + print'(a,i2)', ' size of random seed: ', randSize + print'(a,i0)', ' value of random seed: ', randInit(1) + print'(a,4(/,26x,f17.14),/)', ' start of random sequence: ', randTest call random_seed(put = randInit) - call unitTest + call selfTest end subroutine math_init !-------------------------------------------------------------------------------------------------- -!> @brief Quicksort algorithm for two-dimensional integer arrays -! Sorting is done with respect to array(sort,:) and keeps array(/=sort,:) linked to it. -! default: sort=1 +!> @brief Sorting of two-dimensional integer arrays +!> @details Based on quicksort. +! Sorting is done with respect to array(sortDim,:) and keeps array(/=sortDim,:) linked to it. +! Default: sortDim=1 !-------------------------------------------------------------------------------------------------- -recursive subroutine math_sort(a, istart, iend, sortDim) +pure recursive subroutine math_sort(a, istart, iend, sortDim) integer, dimension(:,:), intent(inout) :: a integer, intent(in),optional :: istart,iend, sortDim @@ -148,7 +151,7 @@ recursive subroutine math_sort(a, istart, iend, sortDim) endif if (s < e) then - ipivot = qsort_partition(a,s, e, d) + call qsort_partition(a,ipivot, s,e, d) call math_sort(a, s, ipivot-1, d) call math_sort(a, ipivot+1, e, d) endif @@ -159,9 +162,10 @@ recursive subroutine math_sort(a, istart, iend, sortDim) !------------------------------------------------------------------------------------------------- !> @brief Partitioning required for quicksort !------------------------------------------------------------------------------------------------- - integer function qsort_partition(a, istart, iend, sort) + pure subroutine qsort_partition(a,p, istart, iend, sort) integer, dimension(:,:), intent(inout) :: a + integer, intent(out) :: p ! Pivot element integer, intent(in) :: istart,iend,sort integer, dimension(size(a,1)) :: tmp integer :: i,j @@ -179,7 +183,7 @@ recursive subroutine math_sort(a, istart, iend, sortDim) tmp = a(:,istart) a(:,istart) = a(:,j) a(:,j) = tmp - qsort_partition = j + p = j return else cross ! exchange values tmp = a(:,i) @@ -188,7 +192,7 @@ recursive subroutine math_sort(a, istart, iend, sortDim) endif cross enddo - end function qsort_partition + end subroutine qsort_partition end subroutine math_sort @@ -231,18 +235,18 @@ end function math_range !-------------------------------------------------------------------------------------------------- !> @brief second rank identity tensor of specified dimension !-------------------------------------------------------------------------------------------------- -pure function math_identity2nd(d) +pure function math_eye(d) integer, intent(in) :: d !< tensor dimension integer :: i - real(pReal), dimension(d,d) :: math_identity2nd + real(pReal), dimension(d,d) :: math_eye - math_identity2nd = 0.0_pReal + math_eye = 0.0_pReal do i=1,d - math_identity2nd(i,i) = 1.0_pReal + math_eye(i,i) = 1.0_pReal enddo -end function math_identity2nd +end function math_eye !-------------------------------------------------------------------------------------------------- @@ -256,7 +260,7 @@ pure function math_identity4th(d) real(pReal), dimension(d,d,d,d) :: math_identity4th real(pReal), dimension(d,d) :: identity2nd - identity2nd = math_identity2nd(d) + identity2nd = math_eye(d) do i=1,d; do j=1,d; do k=1,d; do l=1,d math_identity4th(i,j,k,l) = 0.5_pReal & *(identity2nd(i,k)*identity2nd(j,l)+identity2nd(i,l)*identity2nd(j,k)) @@ -868,15 +872,14 @@ end function math_sampleGaussVar !-------------------------------------------------------------------------------------------------- !> @brief eigenvalues and eigenvectors of symmetric matrix -! ToDo: has wrong oder of arguments !-------------------------------------------------------------------------------------------------- -subroutine math_eigh(m,w,v,error) +subroutine math_eigh(w,v,error,m) real(pReal), dimension(:,:), intent(in) :: m !< quadratic matrix to compute eigenvectors and values of real(pReal), dimension(size(m,1)), intent(out) :: w !< eigenvalues real(pReal), dimension(size(m,1),size(m,1)), intent(out) :: v !< eigenvectors - - logical, intent(out) :: error + logical, intent(out) :: error + integer :: ierr real(pReal), dimension(size(m,1)**2) :: work @@ -893,9 +896,8 @@ end subroutine math_eigh !> @author Joachim Kopp, Max-Planck-Institut für Kernphysik, Heidelberg (Copyright (C) 2006) !> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH !> @details See http://arxiv.org/abs/physics/0610206 (DSYEVH3) -! ToDo: has wrong oder of arguments !-------------------------------------------------------------------------------------------------- -subroutine math_eigh33(m,w,v) +subroutine math_eigh33(w,v,m) real(pReal), dimension(3,3),intent(in) :: m !< 3x3 matrix to compute eigenvectors and values of real(pReal), dimension(3), intent(out) :: w !< eigenvalues @@ -919,7 +921,7 @@ subroutine math_eigh33(m,w,v) (m(1,1) - w(1)) * (m(2,2) - w(1)) - v(3,2)] norm = norm2(v(1:3, 1)) fallback1: if(norm < threshold) then - call math_eigh(m,w,v,error) + call math_eigh(w,v,error,m) else fallback1 v(1:3,1) = v(1:3, 1) / norm v(1:3,2) = [ v(1,2) + m(1, 3) * w(2), & @@ -927,7 +929,7 @@ subroutine math_eigh33(m,w,v) (m(1,1) - w(2)) * (m(2,2) - w(2)) - v(3,2)] norm = norm2(v(1:3, 2)) fallback2: if(norm < threshold) then - call math_eigh(m,w,v,error) + call math_eigh(w,v,error,m) else fallback2 v(1:3,2) = v(1:3, 2) / norm v(1:3,3) = math_cross(v(1:3,1),v(1:3,2)) @@ -937,87 +939,49 @@ subroutine math_eigh33(m,w,v) end subroutine math_eigh33 - - !-------------------------------------------------------------------------------------------------- -!> @brief rotational part from polar decomposition of 3x3 tensor +!> @brief Calculate rotational part of a deformation gradient +!> @details https://www.jstor.org/stable/43637254 +!! https://www.jstor.org/stable/43637372 +!! https://doi.org/10.1023/A:1007407802076 !-------------------------------------------------------------------------------------------------- -function math_rotationalPart(m) +pure function math_rotationalPart(F) result(R) - real(pReal), intent(in), dimension(3,3) :: m - real(pReal), dimension(3,3) :: math_rotationalPart - real(pReal), dimension(3,3) :: U , Uinv + real(pReal), dimension(3,3), intent(in) :: & + F ! deformation gradient + real(pReal), dimension(3,3) :: & + C, & ! right Cauchy-Green tensor + R ! rotational part + real(pReal), dimension(3) :: & + lambda, & ! principal stretches + I_C, & ! invariants of C + I_U ! invariants of U + real(pReal), dimension(2) :: & + I_F ! first two invariants of F + real(pReal) :: x,Phi - U = eigenvectorBasis(matmul(transpose(m),m)) - Uinv = math_inv33(U) + C = matmul(transpose(F),F) + I_C = math_invariantsSym33(C) + I_F = [math_trace33(F), 0.5*(math_trace33(F)**2 - math_trace33(matmul(F,F)))] - inversionFailed: if (all(dEq0(Uinv))) then - math_rotationalPart = math_I3 - call IO_warning(650) - else inversionFailed - math_rotationalPart = matmul(m,Uinv) - endif inversionFailed + x = math_clip(I_C(1)**2 -3.0_pReal*I_C(2),0.0_pReal)**(3.0_pReal/2.0_pReal) + if(dNeq0(x)) then + Phi = acos(math_clip((I_C(1)**3 -4.5_pReal*I_C(1)*I_C(2) +13.5_pReal*I_C(3))/x,-1.0_pReal,1.0_pReal)) + lambda = I_C(1) +(2.0_pReal * sqrt(math_clip(I_C(1)**2-3.0_pReal*I_C(2),0.0_pReal))) & + *cos((Phi-2.0_pReal * PI*[1.0_pReal,2.0_pReal,3.0_pReal])/3.0_pReal) + lambda = sqrt(math_clip(lambda,0.0_pReal)/3.0_pReal) + else + lambda = sqrt(I_C(1)/3.0_pReal) + endif -contains - !-------------------------------------------------------------------------------------------------- - !> @brief eigenvector basis of positive-definite 3x3 matrix - !-------------------------------------------------------------------------------------------------- - pure function eigenvectorBasis(m) + I_U = [sum(lambda), lambda(1)*lambda(2)+lambda(2)*lambda(3)+lambda(3)*lambda(1), product(lambda)] - real(pReal), dimension(3,3) :: eigenvectorBasis - real(pReal), dimension(3,3), intent(in) :: m !< positive-definite matrix of which the basis is computed - - real(pReal), dimension(3) :: I, v - real(pReal) :: P, Q, rho, phi - real(pReal), parameter :: TOL=1.e-14_pReal - real(pReal), dimension(3,3,3) :: N, EB - - I = math_invariantsSym33(m) - - P = I(2)-I(1)**2.0_pReal/3.0_pReal - Q = -2.0_pReal/27.0_pReal*I(1)**3.0_pReal+product(I(1:2))/3.0_pReal-I(3) - - threeSimilarEigVals: if(all(abs([P,Q]) < TOL)) then - v = I(1)/3.0_pReal - ! this is not really correct, but at least the basis is correct - EB = 0.0_pReal - EB(1,1,1)=1.0_pReal - EB(2,2,2)=1.0_pReal - EB(3,3,3)=1.0_pReal - else threeSimilarEigVals - rho=sqrt(-3.0_pReal*P**3.0_pReal)/9.0_pReal - phi=acos(math_clip(-Q/rho*0.5_pReal,-1.0_pReal,1.0_pReal)) - v = 2.0_pReal*rho**(1.0_pReal/3.0_pReal)* [cos((phi )/3.0_pReal), & - cos((phi+2.0_pReal*PI)/3.0_pReal), & - cos((phi+4.0_pReal*PI)/3.0_pReal) & - ] + I(1)/3.0_pReal - N(1:3,1:3,1) = m-v(1)*math_I3 - N(1:3,1:3,2) = m-v(2)*math_I3 - N(1:3,1:3,3) = m-v(3)*math_I3 - twoSimilarEigVals: if(abs(v(1)-v(2)) < TOL) then - EB(1:3,1:3,3) = matmul(N(1:3,1:3,1),N(1:3,1:3,2))/((v(3)-v(1))*(v(3)-v(2))) - EB(1:3,1:3,1) = math_I3-EB(1:3,1:3,3) - EB(1:3,1:3,2) = 0.0_pReal - elseif (abs(v(2)-v(3)) < TOL) then twoSimilarEigVals - EB(1:3,1:3,1) = matmul(N(1:3,1:3,2),N(1:3,1:3,3))/((v(1)-v(2))*(v(1)-v(3))) - EB(1:3,1:3,2) = math_I3-EB(1:3,1:3,1) - EB(1:3,1:3,3) = 0.0_pReal - elseif (abs(v(3)-v(1)) < TOL) then twoSimilarEigVals - EB(1:3,1:3,2) = matmul(N(1:3,1:3,3),N(1:3,1:3,1))/((v(2)-v(3))*(v(2)-v(1))) - EB(1:3,1:3,3) = math_I3-EB(1:3,1:3,2) - EB(1:3,1:3,1) = 0.0_pReal - else twoSimilarEigVals - EB(1:3,1:3,1) = matmul(N(1:3,1:3,2),N(1:3,1:3,3))/((v(1)-v(2))*(v(1)-v(3))) - EB(1:3,1:3,2) = matmul(N(1:3,1:3,3),N(1:3,1:3,1))/((v(2)-v(3))*(v(2)-v(1))) - EB(1:3,1:3,3) = matmul(N(1:3,1:3,1),N(1:3,1:3,2))/((v(3)-v(1))*(v(3)-v(2))) - endif twoSimilarEigVals - endif threeSimilarEigVals - - eigenvectorBasis = sqrt(v(1)) * EB(1:3,1:3,1) & - + sqrt(v(2)) * EB(1:3,1:3,2) & - + sqrt(v(3)) * EB(1:3,1:3,3) - - end function eigenvectorBasis + R = I_U(1)*I_F(2) * math_I3 & + +(I_U(1)**2-I_U(2)) * F & + - I_U(1)*I_F(1) * transpose(F) & + + I_U(1) * transpose(matmul(F,F)) & + - matmul(F,C) + R = R /(I_U(1)*I_U(2)-I_U(3)) end function math_rotationalPart @@ -1069,7 +1033,7 @@ function math_eigvalsh33(m) rho=sqrt(-3.0_pReal*P**3.0_pReal)/9.0_pReal phi=acos(math_clip(-Q/rho*0.5_pReal,-1.0_pReal,1.0_pReal)) math_eigvalsh33 = 2.0_pReal*rho**(1.0_pReal/3.0_pReal)* & - [cos(phi/3.0_pReal), & + [cos( phi /3.0_pReal), & cos((phi+2.0_pReal*PI)/3.0_pReal), & cos((phi+4.0_pReal*PI)/3.0_pReal) & ] & @@ -1190,9 +1154,9 @@ end function math_clip !-------------------------------------------------------------------------------------------------- -!> @brief check correctness of some math functions +!> @brief Check correctness of some math functions. !-------------------------------------------------------------------------------------------------- -subroutine unitTest +subroutine selfTest integer, dimension(2,4) :: & sort_in_ = reshape([+1,+5, +5,+6, -1,-1, +3,-2],[2,4]) @@ -1217,47 +1181,47 @@ subroutine unitTest if (any(abs([1.0_pReal,2.0_pReal,2.0_pReal,3.0_pReal,3.0_pReal,3.0_pReal] - & math_expand([1.0_pReal,2.0_pReal,3.0_pReal],[1,2,3,0])) > tol_math_check)) & - call IO_error(0,ext_msg='math_expand [1,2,3] by [1,2,3,0] => [1,2,2,3,3,3]') + error stop 'math_expand [1,2,3] by [1,2,3,0] => [1,2,2,3,3,3]' if (any(abs([1.0_pReal,2.0_pReal,2.0_pReal] - & math_expand([1.0_pReal,2.0_pReal,3.0_pReal],[1,2])) > tol_math_check)) & - call IO_error(0,ext_msg='math_expand [1,2,3] by [1,2] => [1,2,2]') + error stop 'math_expand [1,2,3] by [1,2] => [1,2,2]' if (any(abs([1.0_pReal,2.0_pReal,2.0_pReal,1.0_pReal,1.0_pReal,1.0_pReal] - & math_expand([1.0_pReal,2.0_pReal],[1,2,3])) > tol_math_check)) & - call IO_error(0,ext_msg='math_expand [1,2] by [1,2,3] => [1,2,2,1,1,1]') + error stop 'math_expand [1,2] by [1,2,3] => [1,2,2,1,1,1]' call math_sort(sort_in_,1,3,2) if(any(sort_in_ /= sort_out_)) & - call IO_error(0,ext_msg='math_sort') + error stop 'math_sort' if(any(math_range(5) /= range_out_)) & - call IO_error(0,ext_msg='math_range') + error stop 'math_range' - if(any(dNeq(math_exp33(math_I3,0),math_I3))) & - call IO_error(0,ext_msg='math_exp33(math_I3,1)') + if(any(dNeq(math_exp33(math_I3,0),math_I3))) & + error stop 'math_exp33(math_I3,1)' if(any(dNeq(math_exp33(math_I3,256),exp(1.0_pReal)*math_I3))) & - call IO_error(0,ext_msg='math_exp33(math_I3,256)') + error stop 'math_exp33(math_I3,256)' call random_number(v9) if(any(dNeq(math_33to9(math_9to33(v9)),v9))) & - call IO_error(0,ext_msg='math_33to9/math_9to33') + error stop 'math_33to9/math_9to33' call random_number(t99) if(any(dNeq(math_3333to99(math_99to3333(t99)),t99))) & - call IO_error(0,ext_msg='math_3333to99/math_99to3333') + error stop 'math_3333to99/math_99to3333' call random_number(v6) if(any(dNeq(math_sym33to6(math_6toSym33(v6)),v6))) & - call IO_error(0,ext_msg='math_sym33to6/math_6toSym33') + error stop 'math_sym33to6/math_6toSym33' call random_number(t66) if(any(dNeq(math_sym3333to66(math_66toSym3333(t66)),t66))) & - call IO_error(0,ext_msg='math_sym3333to66/math_66toSym3333') + error stop 'math_sym3333to66/math_66toSym3333' call random_number(v6) if(any(dNeq0(math_6toSym33(v6) - math_symmetric33(math_6toSym33(v6))))) & - call IO_error(0,ext_msg='math_symmetric33') + error stop 'math_symmetric33' call random_number(v3_1) call random_number(v3_2) @@ -1266,30 +1230,30 @@ subroutine unitTest if(dNeq(abs(dot_product(math_cross(v3_1-v3_4,v3_2-v3_4),v3_3-v3_4))/6.0, & math_volTetrahedron(v3_1,v3_2,v3_3,v3_4),tol=1.0e-12_pReal)) & - call IO_error(0,ext_msg='math_volTetrahedron') + error stop 'math_volTetrahedron' call random_number(t33) if(dNeq(math_det33(math_symmetric33(t33)),math_detSym33(math_symmetric33(t33)),tol=1.0e-12_pReal)) & - call IO_error(0,ext_msg='math_det33/math_detSym33') + error stop 'math_det33/math_detSym33' - if(any(dNeq0(math_identity2nd(3),math_inv33(math_I3)))) & - call IO_error(0,ext_msg='math_inv33(math_I3)') + if(any(dNeq0(math_eye(3),math_inv33(math_I3)))) & + error stop 'math_inv33(math_I3)' do while(abs(math_det33(t33))<1.0e-9_pReal) call random_number(t33) enddo - if(any(dNeq0(matmul(t33,math_inv33(t33)) - math_identity2nd(3),tol=1.0e-9_pReal))) & - call IO_error(0,ext_msg='math_inv33') + if(any(dNeq0(matmul(t33,math_inv33(t33)) - math_eye(3),tol=1.0e-9_pReal))) & + error stop 'math_inv33' call math_invert33(t33_2,det,e,t33) - if(any(dNeq0(matmul(t33,t33_2) - math_identity2nd(3),tol=1.0e-9_pReal)) .or. e) & - call IO_error(0,ext_msg='math_invert33: T:T^-1 != I') + if(any(dNeq0(matmul(t33,t33_2) - math_eye(3),tol=1.0e-9_pReal)) .or. e) & + error stop 'math_invert33: T:T^-1 != I' if(dNeq(det,math_det33(t33),tol=1.0e-12_pReal)) & - call IO_error(0,ext_msg='math_invert33 (determinant)') + error stop 'math_invert33 (determinant)' call math_invert(t33_2,e,t33) - if(any(dNeq0(matmul(t33,t33_2) - math_identity2nd(3),tol=1.0e-9_pReal)) .or. e) & - call IO_error(0,ext_msg='math_invert t33') + if(any(dNeq0(matmul(t33,t33_2) - math_eye(3),tol=1.0e-9_pReal)) .or. e) & + error stop 'math_invert t33' do while(math_det33(t33)<1.0e-2_pReal) ! O(det(F)) = 1 call random_number(t33) @@ -1297,39 +1261,39 @@ subroutine unitTest t33_2 = math_rotationalPart(transpose(t33)) t33 = math_rotationalPart(t33) if(any(dNeq0(matmul(t33_2,t33) - math_I3,tol=1.0e-10_pReal))) & - call IO_error(0,ext_msg='math_rotationalPart') + error stop 'math_rotationalPart' call random_number(r) d = int(r*5.0_pReal) + 1 - txx = math_identity2nd(d) + txx = math_eye(d) allocate(txx_2(d,d)) call math_invert(txx_2,e,txx) if(any(dNeq0(txx_2,txx) .or. e)) & - call IO_error(0,ext_msg='math_invert(txx)/math_identity2nd') + error stop 'math_invert(txx)/math_eye' call math_invert(t99_2,e,t99) ! not sure how likely it is that we get a singular matrix - if(any(dNeq0(matmul(t99_2,t99)-math_identity2nd(9),tol=1.0e-9_pReal)) .or. e) & - call IO_error(0,ext_msg='math_invert(t99)') + if(any(dNeq0(matmul(t99_2,t99)-math_eye(9),tol=1.0e-9_pReal)) .or. e) & + error stop 'math_invert(t99)' if(any(dNeq(math_clip([4.0_pReal,9.0_pReal],5.0_pReal,6.5_pReal),[5.0_pReal,6.5_pReal]))) & - call IO_error(0,ext_msg='math_clip') + error stop 'math_clip' if(math_factorial(10) /= 3628800) & - call IO_error(0,ext_msg='math_factorial') + error stop 'math_factorial' if(math_binomial(49,6) /= 13983816) & - call IO_error(0,ext_msg='math_binomial') + error stop 'math_binomial' ijk = cshift([1,2,3],int(r*1.0e2_pReal)) if(dNeq(math_LeviCivita(ijk(1),ijk(2),ijk(3)),+1.0_pReal)) & - call IO_error(0,ext_msg='math_LeviCivita(even)') + error stop 'math_LeviCivita(even)' ijk = cshift([3,2,1],int(r*2.0e2_pReal)) if(dNeq(math_LeviCivita(ijk(1),ijk(2),ijk(3)),-1.0_pReal)) & - call IO_error(0,ext_msg='math_LeviCivita(odd)') + error stop 'math_LeviCivita(odd)' ijk = cshift([2,2,1],int(r*2.0e2_pReal)) - if(dNeq0(math_LeviCivita(ijk(1),ijk(2),ijk(3))))& - call IO_error(0,ext_msg='math_LeviCivita') + if(dNeq0(math_LeviCivita(ijk(1),ijk(2),ijk(3)))) & + error stop 'math_LeviCivita' -end subroutine unitTest +end subroutine selfTest end module math diff --git a/src/mesh/DAMASK_mesh.f90 b/src/mesh/DAMASK_mesh.f90 index 3c9613d73..bfa8d22ce 100644 --- a/src/mesh/DAMASK_mesh.f90 +++ b/src/mesh/DAMASK_mesh.f90 @@ -6,16 +6,17 @@ !> @details doing cutbacking, reporting statistics, writing !> results !-------------------------------------------------------------------------------------------------- -program DAMASK_FEM +program DAMASK_mesh #include use PetscDM use prec use DAMASK_interface + use parallelization use IO use math use CPFEM2 use FEsolving - use numerics + use config use discretization_mesh use FEM_Utilities use mesh_mech_FEM @@ -27,7 +28,7 @@ program DAMASK_FEM integer, allocatable, dimension(:) :: chunkPos ! this is longer than needed for geometry parsing integer :: & N_def = 0 !< # of rate of deformation specifiers found in load case file - character(len=pStringLen) :: & + character(len=:), allocatable :: & line !-------------------------------------------------------------------------------------------------- @@ -56,10 +57,16 @@ program DAMASK_FEM statUnit = 0, & !< file unit for statistics output stagIter, & component + class(tNode), pointer :: & + num_mesh character(len=pStringLen), dimension(:), allocatable :: fileContent character(len=pStringLen) :: & incInfo, & loadcase_string + integer :: & + stagItMax, & !< max number of field level staggered iterations + maxCutBack !< max number of cutbacks + type(tLoadCase), allocatable, dimension(:) :: loadCases !< array of all load cases type(tSolutionState), allocatable, dimension(:) :: solres PetscInt :: faceSet, currentFaceSet, field, dimPlex @@ -71,8 +78,17 @@ program DAMASK_FEM !-------------------------------------------------------------------------------------------------- ! init DAMASK (all modules) call CPFEM_initAll - write(6,'(/,a)') ' <<<+- DAMASK_FEM init -+>>>'; flush(6) - + print'(/,a)', ' <<<+- DAMASK_mesh init -+>>>'; flush(IO_STDOUT) + +!--------------------------------------------------------------------- +! reading field information from numerics file and do sanity checks + num_mesh => config_numerics%get('mesh', defaultVal=emptyDict) + stagItMax = num_mesh%get_asInt('maxStaggeredIter',defaultVal=10) + maxCutBack = num_mesh%get_asInt('maxCutBack',defaultVal=3) + + if (stagItMax < 0) call IO_error(301,ext_msg='maxStaggeredIter') + if (maxCutBack < 0) call IO_error(301,ext_msg='maxCutBack') + ! reading basic information from load case file and allocate data structure containing load cases call DMGetDimension(geomMesh,dimPlex,ierr); CHKERRA(ierr) !< dimension of mesh (2D or 3D) nActiveFields = 1 @@ -80,7 +96,7 @@ program DAMASK_FEM !-------------------------------------------------------------------------------------------------- ! reading basic information from load case file and allocate data structure containing load cases - fileContent = IO_read_ASCII(trim(loadCaseFile)) + fileContent = IO_readlines(trim(interface_loadFile)) do l = 1, size(fileContent) line = fileContent(l) if (IO_isBlank(line)) cycle ! skip empty lines @@ -192,37 +208,37 @@ program DAMASK_FEM errorID = 0 checkLoadcases: do currentLoadCase = 1, size(loadCases) write (loadcase_string, '(i0)' ) currentLoadCase - write(6,'(1x,a,i6)') 'load case: ', currentLoadCase + print'(a,i0)', ' load case: ', currentLoadCase if (.not. loadCases(currentLoadCase)%followFormerTrajectory) & - write(6,'(2x,a)') 'drop guessing along trajectory' + print'(a)', ' drop guessing along trajectory' do field = 1, nActiveFields select case (loadCases(currentLoadCase)%fieldBC(field)%ID) case(FIELD_MECH_ID) - write(6,'(2x,a)') 'Field '//trim(FIELD_MECH_label) + print'(a)', ' Field '//trim(FIELD_MECH_label) end select do faceSet = 1, mesh_Nboundaries do component = 1, loadCases(currentLoadCase)%fieldBC(field)%nComponents if (loadCases(currentLoadCase)%fieldBC(field)%componentBC(component)%Mask(faceSet)) & - write(6,'(4x,a,i2,a,i2,a,f12.7)') 'Face ', mesh_boundaries(faceSet), & + print'(a,i2,a,i2,a,f12.7)', ' Face ', mesh_boundaries(faceSet), & ' Component ', component, & ' Value ', loadCases(currentLoadCase)%fieldBC(field)% & componentBC(component)%Value(faceSet) enddo enddo enddo - write(6,'(2x,a,f12.6)') 'time: ', loadCases(currentLoadCase)%time + print'(a,f12.6)', ' time: ', loadCases(currentLoadCase)%time if (loadCases(currentLoadCase)%incs < 1) errorID = 835 ! non-positive incs count - write(6,'(2x,a,i5)') 'increments: ', loadCases(currentLoadCase)%incs + print'(a,i5)', ' increments: ', loadCases(currentLoadCase)%incs if (loadCases(currentLoadCase)%outputfrequency < 1) errorID = 836 ! non-positive result frequency - write(6,'(2x,a,i5)') 'output frequency: ', & + print'(a,i5)', ' output frequency: ', & loadCases(currentLoadCase)%outputfrequency if (errorID > 0) call IO_error(error_ID = errorID, ext_msg = loadcase_string) ! exit with error message enddo checkLoadcases !-------------------------------------------------------------------------------------------------- ! doing initialization depending on active solvers - call Utilities_init + call FEM_Utilities_init do field = 1, nActiveFields select case (loadCases(1)%fieldBC(field)%ID) case(FIELD_MECH_ID) @@ -274,8 +290,8 @@ program DAMASK_FEM !-------------------------------------------------------------------------------------------------- ! report begin of new step - write(6,'(/,a)') ' ###########################################################################' - write(6,'(1x,a,es12.5,6(a,i0))')& + print'(/,a)', ' ###########################################################################' + print'(1x,a,es12.5,6(a,i0))',& 'Time', time, & 's: Increment ', inc, '/', loadCases(currentLoadCase)%incs,& '-', stepFraction, '/', subStepFactor**cutBackLevel,& @@ -283,7 +299,7 @@ program DAMASK_FEM write(incInfo,'(4(a,i0))') & 'Increment ',totalIncsCounter,'/',sum(loadCases%incs),& '-',stepFraction, '/', subStepFactor**cutBackLevel - flush(6) + flush(IO_STDOUT) !-------------------------------------------------------------------------------------------------- ! forward fields @@ -322,7 +338,7 @@ program DAMASK_FEM cutBack = .False. if(.not. all(solres(:)%converged .and. solres(:)%stagConverged)) then ! no solution found if (cutBackLevel < maxCutBack) then ! do cut back - write(6,'(/,a)') ' cut back detected' + print'(/,a)', ' cut back detected' cutBack = .True. stepFraction = (stepFraction - 1) * subStepFactor ! adjust to new denominator cutBackLevel = cutBackLevel + 1 @@ -344,13 +360,13 @@ program DAMASK_FEM cutBackLevel = max(0, cutBackLevel - 1) ! try half number of subincs next inc if (all(solres(:)%converged)) then - write(6,'(/,a,i0,a)') ' increment ', totalIncsCounter, ' converged' + print'(/,a,i0,a)', ' increment ', totalIncsCounter, ' converged' else - write(6,'(/,a,i0,a)') ' increment ', totalIncsCounter, ' NOT converged' - endif; flush(6) + print'(/,a,i0,a)', ' increment ', totalIncsCounter, ' NOT converged' + endif; flush(IO_STDOUT) if (mod(inc,loadCases(currentLoadCase)%outputFrequency) == 0) then ! at output frequency - write(6,'(1/,a)') ' ... writing results to file ......................................' + print'(/,a)', ' ... writing results to file ......................................' call CPFEM_results(totalIncsCounter,time) endif @@ -362,9 +378,9 @@ program DAMASK_FEM !-------------------------------------------------------------------------------------------------- ! report summary of whole calculation - write(6,'(/,a)') ' ###########################################################################' + print'(/,a)', ' ###########################################################################' if (worldrank == 0) close(statUnit) call quit(0) ! no complains ;) -end program DAMASK_FEM +end program DAMASK_mesh diff --git a/src/mesh/FEM_quadrature.f90 b/src/mesh/FEM_quadrature.f90 index 65b0bc6fe..4cc5e5468 100644 --- a/src/mesh/FEM_quadrature.f90 +++ b/src/mesh/FEM_quadrature.f90 @@ -37,7 +37,7 @@ contains !-------------------------------------------------------------------------------------------------- subroutine FEM_quadrature_init - write(6,'(/,a)') ' <<<+- FEM_quadrature init -+>>>'; flush(6) + print'(/,a)', ' <<<+- FEM_quadrature init -+>>>'; flush(6) !-------------------------------------------------------------------------------------------------- ! 2D linear diff --git a/src/mesh/FEM_utilities.f90 b/src/mesh/FEM_utilities.f90 index 512d741bf..4c958ee2e 100644 --- a/src/mesh/FEM_utilities.f90 +++ b/src/mesh/FEM_utilities.f90 @@ -14,8 +14,7 @@ module FEM_utilities use prec use FEsolving use homogenization - use numerics - use debug + use config use math use discretization_mesh @@ -84,7 +83,7 @@ module FEM_utilities end type tLoadCase public :: & - utilities_init, & + FEM_utilities_init, & utilities_constitutiveResponse, & utilities_projectBCValues, & FIELD_MECH_ID, & @@ -95,24 +94,35 @@ module FEM_utilities contains +!ToDo: use functions in variable call !-------------------------------------------------------------------------------------------------- !> @brief allocates all neccessary fields, sets debug flags !-------------------------------------------------------------------------------------------------- -subroutine utilities_init +subroutine FEM_utilities_init character(len=pStringLen) :: petsc_optionsOrder + class(tNode), pointer :: & + num_mesh, & + debug_mesh ! pointer to mesh debug options + integer :: structOrder !< order of displacement shape functions + character(len=*), parameter :: & + PETSCDEBUG = ' -snes_view -snes_monitor ' + PetscErrorCode :: ierr - write(6,'(/,a)') ' <<<+- DAMASK_FEM_utilities init -+>>>' + print'(/,a)', ' <<<+- FEM_utilities init -+>>>' -!-------------------------------------------------------------------------------------------------- -! set debugging parameters - debugPETSc = iand(debug_level(debug_SPECTRAL),debug_SPECTRALPETSC) /= 0 - if(debugPETSc) write(6,'(3(/,a),/)') & + num_mesh => config_numerics%get('mesh',defaultVal=emptyDict) + structOrder = num_mesh%get_asInt('structOrder', defaultVal = 2) + + debug_mesh => config_debug%get('mesh',defaultVal=emptyList) + debugPETSc = debug_mesh%contains('petsc') + + if(debugPETSc) print'(3(/,a),/)', & ' Initializing PETSc with debug options: ', & trim(PETScDebug), & - ' add more using the PETSc_Options keyword in numerics.config ' - flush(6) + ' add more using the PETSc_Options keyword in numerics.yaml ' + flush(IO_STDOUT) call PetscOptionsClear(PETSC_NULL_OPTIONS,ierr) CHKERRQ(ierr) if(debugPETSc) call PetscOptionsInsertString(PETSC_NULL_OPTIONS,trim(PETSCDEBUG),ierr) @@ -124,7 +134,7 @@ subroutine utilities_init &-mech_pc_type ml -mech_mg_levels_ksp_type chebyshev & &-mech_mg_levels_pc_type sor -mech_pc_ml_nullspace user',ierr) CHKERRQ(ierr) - call PetscOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_options),ierr) + call PetscOptionsInsertString(PETSC_NULL_OPTIONS,num_mesh%get_asString('petsc_options',defaultVal=''),ierr) CHKERRQ(ierr) write(petsc_optionsOrder,'(a,i0)') '-mechFE_petscspace_degree ', structOrder call PetscOptionsInsertString(PETSC_NULL_OPTIONS,trim(petsc_optionsOrder),ierr) @@ -133,7 +143,7 @@ subroutine utilities_init wgt = 1.0/real(mesh_maxNips*mesh_NcpElemsGlobal,pReal) -end subroutine utilities_init +end subroutine FEM_utilities_init !-------------------------------------------------------------------------------------------------- @@ -148,13 +158,13 @@ subroutine utilities_constitutiveResponse(timeinc,P_av,forwardData) PetscErrorCode :: ierr - write(6,'(/,a)') ' ... evaluating constitutive response ......................................' + print'(/,a)', ' ... evaluating constitutive response ......................................' - call materialpoint_stressAndItsTangent(.true.,timeinc) ! calculate P field + call materialpoint_stressAndItsTangent(timeinc) ! calculate P field cutBack = .false. ! reset cutBack status - P_av = sum(sum(materialpoint_P,dim=4),dim=3) * wgt ! average of P + P_av = sum(sum(homogenization_P,dim=4),dim=3) * wgt ! average of P call MPI_Allreduce(MPI_IN_PLACE,P_av,9,MPI_DOUBLE,MPI_SUM,PETSC_COMM_WORLD,ierr) end subroutine utilities_constitutiveResponse diff --git a/src/mesh/discretization_mesh.f90 b/src/mesh/discretization_mesh.f90 index 072f3b4ec..bc96951a1 100644 --- a/src/mesh/discretization_mesh.f90 +++ b/src/mesh/discretization_mesh.f90 @@ -8,53 +8,51 @@ module discretization_mesh #include #include #include - use PETScdmplex - use PETScdmda - use PETScis + use PETScdmplex + use PETScdmda + use PETScis - use DAMASK_interface - use IO - use debug - use discretization - use numerics - use FEsolving - use FEM_quadrature - use prec - - implicit none - private - - integer, public, protected :: & - mesh_Nboundaries, & - mesh_NcpElemsGlobal + use DAMASK_interface + use parallelization + use IO + use config + use discretization + use FEsolving + use FEM_quadrature + use YAML_types + use prec - integer :: & - mesh_NcpElems !< total number of CP elements in mesh + implicit none + private + + integer, public, protected :: & + mesh_Nboundaries, & + mesh_NcpElemsGlobal + + integer :: & + mesh_NcpElems !< total number of CP elements in mesh !!!! BEGIN DEPRECATED !!!!! - integer, public, protected :: & - mesh_maxNips !< max number of IPs in any CP element + integer, public, protected :: & + mesh_maxNips !< max number of IPs in any CP element !!!! BEGIN DEPRECATED !!!!! - integer, dimension(:,:), allocatable :: & - mesh_element !DEPRECATED + real(pReal), dimension(:,:), allocatable :: & + mesh_ipVolume, & !< volume associated with IP (initially!) + mesh_node0 !< node x,y,z coordinates (initially!) - real(pReal), dimension(:,:), allocatable :: & - mesh_ipVolume, & !< volume associated with IP (initially!) - mesh_node0 !< node x,y,z coordinates (initially!) - - real(pReal), dimension(:,:,:), allocatable :: & - mesh_ipCoordinates !< IP x,y,z coordinates (after deformation!) + real(pReal), dimension(:,:,:), allocatable :: & + mesh_ipCoordinates !< IP x,y,z coordinates (after deformation!) - DM, public :: geomMesh - - PetscInt, dimension(:), allocatable, public, protected :: & - mesh_boundaries + DM, public :: geomMesh - public :: & - discretization_mesh_init, & - mesh_FEM_build_ipVolumes, & - mesh_FEM_build_ipCoordinates + PetscInt, dimension(:), allocatable, public, protected :: & + mesh_boundaries + + public :: & + discretization_mesh_init, & + mesh_FEM_build_ipVolumes, & + mesh_FEM_build_ipCoordinates contains @@ -63,41 +61,50 @@ contains !> @brief initializes the mesh by calling all necessary private routines the mesh module !! Order and routines strongly depend on type of solver !-------------------------------------------------------------------------------------------------- -subroutine discretization_mesh_init +subroutine discretization_mesh_init(restart) + + logical, intent(in) :: restart - integer, dimension(1), parameter:: FE_geomtype = [1] !< geometry type of particular element type - integer, dimension(1) :: FE_Nips !< number of IPs in a specific type of element - integer, allocatable, dimension(:) :: chunkPos integer :: dimPlex, & mesh_Nnodes, & !< total number of nodes in mesh - j, l - integer, parameter :: & - mesh_ElemType=1 !< Element type of the mesh (only support homogeneous meshes) + j, l, & + debug_element, debug_ip PetscSF :: sf DM :: globalMesh PetscInt :: nFaceSets PetscInt, pointer, dimension(:) :: pFaceSets character(len=pStringLen), dimension(:), allocatable :: fileContent - IS :: faceSetIS + IS :: faceSetIS PetscErrorCode :: ierr + integer, dimension(:), allocatable :: & + materialAt + class(tNode), pointer :: & + num_mesh + integer :: integrationOrder !< order of quadrature rule required - - write(6,'(/,a)') ' <<<+- mesh init -+>>>' + print'(/,a)', ' <<<+- discretization_mesh init -+>>>' - ! read in file - call DMPlexCreateFromFile(PETSC_COMM_WORLD,geometryFile,PETSC_TRUE,globalMesh,ierr) +!-------------------------------------------------------------------------------- +! read numerics parameter + num_mesh => config_numerics%get('mesh',defaultVal=emptyDict) + integrationOrder = num_mesh%get_asInt('integrationorder',defaultVal = 2) + +!--------------------------------------------------------------------------------- +! read debug parameters + debug_element = config_debug%get_asInt('element',defaultVal=1) + debug_ip = config_debug%get_asInt('integrationpoint',defaultVal=1) + + + call DMPlexCreateFromFile(PETSC_COMM_WORLD,interface_geomFile,PETSC_TRUE,globalMesh,ierr) CHKERRQ(ierr) - ! get spatial dimension (2 or 3?) call DMGetDimension(globalMesh,dimPlex,ierr) CHKERRQ(ierr) - write(6,*) 'dimension',dimPlex;flush(6) call DMGetStratumSize(globalMesh,'depth',dimPlex,mesh_NcpElemsGlobal,ierr) CHKERRQ(ierr) ! get number of IDs in face sets (for boundary conditions?) call DMGetLabelSize(globalMesh,'Face Sets',mesh_Nboundaries,ierr) CHKERRQ(ierr) - write(6,*) 'number of "Face Sets"',mesh_Nboundaries;flush(6) call MPI_Bcast(mesh_Nboundaries,1,MPI_INTEGER,0,PETSC_COMM_WORLD,ierr) call MPI_Bcast(mesh_NcpElemsGlobal,1,MPI_INTEGER,0,PETSC_COMM_WORLD,ierr) call MPI_Bcast(dimPlex,1,MPI_INTEGER,0,PETSC_COMM_WORLD,ierr) @@ -117,7 +124,7 @@ subroutine discretization_mesh_init call MPI_Bcast(mesh_boundaries,mesh_Nboundaries,MPI_INTEGER,0,PETSC_COMM_WORLD,ierr) if (worldrank == 0) then - fileContent = IO_read_ASCII(geometryFile) + fileContent = IO_readlines(interface_geomFile) l = 0 do l = l + 1 @@ -140,48 +147,41 @@ subroutine discretization_mesh_init enddo call DMClone(globalMesh,geomMesh,ierr) CHKERRQ(ierr) - else + else call DMPlexDistribute(globalMesh,0,sf,geomMesh,ierr) CHKERRQ(ierr) - endif + endif call DMDestroy(globalMesh,ierr); CHKERRQ(ierr) - + call DMGetStratumSize(geomMesh,'depth',dimPlex,mesh_NcpElems,ierr) CHKERRQ(ierr) call DMGetStratumSize(geomMesh,'depth',0,mesh_Nnodes,ierr) CHKERRQ(ierr) - FE_Nips(FE_geomtype(1)) = FEM_nQuadrature(dimPlex,integrationOrder) - mesh_maxNips = FE_Nips(1) - - write(6,*) 'mesh_maxNips',mesh_maxNips + mesh_maxNips = FEM_nQuadrature(dimPlex,integrationOrder) + call mesh_FEM_build_ipCoordinates(dimPlex,FEM_quadrature_points(dimPlex,integrationOrder)%p) call mesh_FEM_build_ipVolumes(dimPlex) - - allocate (mesh_element (4,mesh_NcpElems)); mesh_element = 0 - do j = 1, mesh_NcpElems - mesh_element( 1,j) = -1 ! DEPRECATED - mesh_element( 2,j) = mesh_elemType ! elem type - mesh_element( 3,j) = 1 ! homogenization - call DMGetLabelValue(geomMesh,'material',j-1,mesh_element(4,j),ierr) - CHKERRQ(ierr) - end do - if (debug_e < 1 .or. debug_e > mesh_NcpElems) & - call IO_error(602,ext_msg='element') ! selected element does not exist - if (debug_i < 1 .or. debug_i > FE_Nips(FE_geomtype(mesh_element(2,debug_e)))) & - call IO_error(602,ext_msg='IP') ! selected element does not have requested IP - - FEsolving_execElem = [ 1,mesh_NcpElems ] ! parallel loop bounds set to comprise all DAMASK elements - FEsolving_execIP = [1,FE_Nips(FE_geomtype(mesh_element(2,1)))] - + allocate(materialAt(mesh_NcpElems)) + do j = 1, mesh_NcpElems + call DMGetLabelValue(geomMesh,'material',j-1,materialAt(j),ierr) + CHKERRQ(ierr) + end do + + if (debug_element < 1 .or. debug_element > mesh_NcpElems) call IO_error(602,ext_msg='element') + if (debug_ip < 1 .or. debug_ip > mesh_maxNips) call IO_error(602,ext_msg='IP') + + FEsolving_execElem = [1,mesh_NcpElems] ! parallel loop bounds set to comprise all DAMASK elements + FEsolving_execIP = [1,mesh_maxNips] + allocate(mesh_node0(3,mesh_Nnodes),source=0.0_pReal) - call discretization_init(mesh_element(3,:),mesh_element(4,:),& + call discretization_init(materialAt,& reshape(mesh_ipCoordinates,[3,mesh_maxNips*mesh_NcpElems]), & mesh_node0) - + end subroutine discretization_mesh_init @@ -189,23 +189,23 @@ end subroutine discretization_mesh_init !> @brief Calculates IP volume. Allocates global array 'mesh_ipVolume' !-------------------------------------------------------------------------------------------------- subroutine mesh_FEM_build_ipVolumes(dimPlex) - + PetscInt,intent(in):: dimPlex PetscReal :: vol PetscReal, pointer,dimension(:) :: pCent, pNorm PetscInt :: cellStart, cellEnd, cell PetscErrorCode :: ierr - + allocate(mesh_ipVolume(mesh_maxNips,mesh_NcpElems),source=0.0_pReal) - + call DMPlexGetHeightStratum(geomMesh,0,cellStart,cellEnd,ierr); CHKERRQ(ierr) allocate(pCent(dimPlex)) allocate(pNorm(dimPlex)) do cell = cellStart, cellEnd-1 - call DMPlexComputeCellGeometryFVM(geomMesh,cell,vol,pCent,pNorm,ierr) + call DMPlexComputeCellGeometryFVM(geomMesh,cell,vol,pCent,pNorm,ierr) CHKERRQ(ierr) mesh_ipVolume(:,cell+1) = vol/real(mesh_maxNips,pReal) - enddo + enddo end subroutine mesh_FEM_build_ipVolumes @@ -217,20 +217,20 @@ subroutine mesh_FEM_build_ipCoordinates(dimPlex,qPoints) PetscInt, intent(in) :: dimPlex PetscReal, intent(in) :: qPoints(mesh_maxNips*dimPlex) - + PetscReal, pointer,dimension(:) :: pV0, pCellJ, pInvcellJ PetscReal :: detJ PetscInt :: cellStart, cellEnd, cell, qPt, dirI, dirJ, qOffset PetscErrorCode :: ierr - - + + allocate(mesh_ipCoordinates(3,mesh_maxNips,mesh_NcpElems),source=0.0_pReal) - + allocate(pV0(dimPlex)) allocatE(pCellJ(dimPlex**2)) allocatE(pinvCellJ(dimPlex**2)) call DMPlexGetHeightStratum(geomMesh,0,cellStart,cellEnd,ierr); CHKERRQ(ierr) - do cell = cellStart, cellEnd-1 !< loop over all elements + do cell = cellStart, cellEnd-1 !< loop over all elements call DMPlexComputeCellGeometryAffineFEM(geomMesh,cell,pV0,pCellJ,pInvcellJ,detJ,ierr) CHKERRQ(ierr) qOffset = 0 @@ -244,7 +244,7 @@ subroutine mesh_FEM_build_ipCoordinates(dimPlex,qPoints) enddo qOffset = qOffset + dimPlex enddo - enddo + enddo end subroutine mesh_FEM_build_ipCoordinates diff --git a/src/mesh/mesh_mech_FEM.f90 b/src/mesh/mesh_mech_FEM.f90 index 8206f4174..8aa084ac8 100644 --- a/src/mesh/mesh_mech_FEM.f90 +++ b/src/mesh/mesh_mech_FEM.f90 @@ -17,11 +17,10 @@ module mesh_mech_FEM use prec use FEM_utilities use discretization_mesh - use IO use DAMASK_interface - use numerics + use config + use IO use FEM_quadrature - use FEsolving use homogenization use math @@ -38,6 +37,18 @@ module mesh_mech_FEM type(tSolutionParams) :: params + type, private :: tNumerics + integer :: & + integrationOrder, & !< order of quadrature rule required + itmax + logical :: & + BBarStabilisation + real(pReal) :: & + eps_struct_atol, & !< absolute tolerance for mechanical equilibrium + eps_struct_rtol !< relative tolerance for mechanical equilibrium + end type tNumerics + + type(tNumerics), private :: num !-------------------------------------------------------------------------------------------------- ! PETSc data SNES :: mech_snes @@ -73,7 +84,7 @@ subroutine FEM_mech_init(fieldBC) PetscQuadrature :: mechQuad, functional PetscDS :: mechDS PetscDualSpace :: mechDualSpace - DMLabel, dimension(:),pointer :: pBCLabel + DMLabel, dimension(:),pointer :: nolabel=> NULL() DMLabel :: BCLabel PetscInt, dimension(:), pointer :: pNumComp, pNumDof, pBcField, pBcPoint @@ -96,7 +107,23 @@ subroutine FEM_mech_init(fieldBC) character(len=*), parameter :: prefix = 'mechFE_' PetscErrorCode :: ierr - write(6,'(/,a)') ' <<<+- FEM_mech init -+>>>'; flush(6) + class(tNode), pointer :: & + num_mesh + + print'(/,a)', ' <<<+- FEM_mech init -+>>>'; flush(IO_STDOUT) + +!----------------------------------------------------------------------------- +! read numerical parametes and do sanity checks + num_mesh => config_numerics%get('mesh',defaultVal=emptyDict) + num%integrationOrder = num_mesh%get_asInt('integrationorder',defaultVal = 2) + num%itmax = num_mesh%get_asInt('itmax',defaultVal=250) + num%BBarStabilisation = num_mesh%get_asBool('bbarstabilisation',defaultVal = .false.) + num%eps_struct_atol = num_mesh%get_asFloat('eps_struct_atol', defaultVal = 1.0e-10_pReal) + num%eps_struct_rtol = num_mesh%get_asFloat('eps_struct_rtol', defaultVal = 1.0e-4_pReal) + + if (num%itmax <= 1) call IO_error(301,ext_msg='itmax') + if (num%eps_struct_rtol <= 0.0_pReal) call IO_error(301,ext_msg='eps_struct_rtol') + if (num%eps_struct_atol <= 0.0_pReal) call IO_error(301,ext_msg='eps_struct_atol') !-------------------------------------------------------------------------------------------------- ! Setup FEM mech mesh @@ -105,9 +132,9 @@ subroutine FEM_mech_init(fieldBC) !-------------------------------------------------------------------------------------------------- ! Setup FEM mech discretization - qPoints = FEM_quadrature_points( dimPlex,integrationOrder)%p - qWeights = FEM_quadrature_weights(dimPlex,integrationOrder)%p - nQuadrature = FEM_nQuadrature( dimPlex,integrationOrder) + qPoints = FEM_quadrature_points( dimPlex,num%integrationOrder)%p + qWeights = FEM_quadrature_weights(dimPlex,num%integrationOrder)%p + nQuadrature = FEM_nQuadrature( dimPlex,num%integrationOrder) qPointsP => qPoints qWeightsP => qWeights call PetscQuadratureCreate(PETSC_COMM_SELF,mechQuad,ierr); CHKERRQ(ierr) @@ -116,7 +143,7 @@ subroutine FEM_mech_init(fieldBC) call PetscQuadratureSetData(mechQuad,dimPlex,nc,nQuadrature,qPointsP,qWeightsP,ierr) CHKERRQ(ierr) call PetscFECreateDefault(PETSC_COMM_SELF,dimPlex,nc,PETSC_TRUE,prefix, & - integrationOrder,mechFE,ierr); CHKERRQ(ierr) + num%integrationOrder,mechFE,ierr); CHKERRQ(ierr) call PetscFESetQuadrature(mechFE,mechQuad,ierr); CHKERRQ(ierr) call PetscFEGetDimension(mechFE,nBasis,ierr); CHKERRQ(ierr) nBasis = nBasis/nc @@ -136,7 +163,7 @@ subroutine FEM_mech_init(fieldBC) ! Setup FEM mech boundary conditions call DMGetLabel(mech_mesh,'Face Sets',BCLabel,ierr); CHKERRQ(ierr) call DMPlexLabelComplete(mech_mesh,BCLabel,ierr); CHKERRQ(ierr) -#if (PETSC_VERSION_MINOR < 11) +#if (PETSC_VERSION_MINOR < 12) call DMGetSection(mech_mesh,section,ierr); CHKERRQ(ierr) #else call DMGetLocalSection(mech_mesh,section,ierr); CHKERRQ(ierr) @@ -182,8 +209,7 @@ subroutine FEM_mech_init(fieldBC) call DMPlexCreateSection(mech_mesh,dimPlex,1,pNumComp,pNumDof, & numBC,pBcField,pBcComps,pBcPoints,PETSC_NULL_IS,section,ierr) #else - allocate(pBClabel(1),source=BClabel) - call DMPlexCreateSection(mech_mesh,pBClabel,pNumComp,pNumDof, & + call DMPlexCreateSection(mech_mesh,nolabel,pNumComp,pNumDof, & numBC,pBcField,pBcComps,pBcPoints,PETSC_NULL_IS,section,ierr) #endif @@ -208,7 +234,7 @@ subroutine FEM_mech_init(fieldBC) call SNESSetMaxLinearSolveFailures(mech_snes, huge(1), ierr); CHKERRQ(ierr) !< ignore linear solve failures call SNESSetConvergenceTest(mech_snes,FEM_mech_converged,PETSC_NULL_VEC,PETSC_NULL_FUNCTION,ierr) CHKERRQ(ierr) - call SNESSetTolerances(mech_snes,1.0,0.0,0.0,itmax,itmax,ierr) + call SNESSetTolerances(mech_snes,1.0,0.0,0.0,num%itmax,num%itmax,ierr) CHKERRQ(ierr) call SNESSetFromOptions(mech_snes,ierr); CHKERRQ(ierr) @@ -268,7 +294,6 @@ type(tSolutionState) function FEM_mech_solution( & character(len=*), intent(in) :: & incInfoIn -!-------------------------------------------------------------------------------------------------- PetscErrorCode :: ierr SNESConvergedReason :: reason @@ -286,15 +311,15 @@ type(tSolutionState) function FEM_mech_solution( & if (reason < 1) then ! 0: still iterating (will not occur), negative -> convergence error FEM_mech_solution%converged = .false. - FEM_mech_solution%iterationsNeeded = itmax + FEM_mech_solution%iterationsNeeded = num%itmax else ! >= 1 proper convergence (or terminally ill) FEM_mech_solution%converged = .true. call SNESGetIterationNumber(mech_snes,FEM_mech_solution%iterationsNeeded,ierr) CHKERRQ(ierr) endif - write(6,'(/,a)') ' ===========================================================================' - flush(6) + print'(/,a)', ' ===========================================================================' + flush(IO_STDOUT) end function FEM_mech_solution @@ -317,7 +342,7 @@ subroutine FEM_mech_formResidual(dm_local,xx_local,f_local,dummy,ierr) PetscReal, pointer,dimension(:) :: pV0, pCellJ, pInvcellJ, basisField, basisFieldDer PetscInt :: cellStart, cellEnd, cell, field, face, & qPt, basis, comp, cidx, & - numFields, depth ! < DEBUG + numFields PetscReal :: detFAvg PetscReal :: BMat(dimPlex*dimPlex,cellDof) @@ -330,7 +355,7 @@ subroutine FEM_mech_formResidual(dm_local,xx_local,f_local,dummy,ierr) allocate(pinvcellJ(dimPlex**2)) allocate(x_scal(cellDof)) -#if (PETSC_VERSION_MINOR < 11) +#if (PETSC_VERSION_MINOR < 12) call DMGetSection(dm_local,section,ierr); CHKERRQ(ierr) #else call DMGetLocalSection(dm_local,section,ierr); CHKERRQ(ierr) @@ -358,15 +383,8 @@ subroutine FEM_mech_formResidual(dm_local,xx_local,f_local,dummy,ierr) ! evaluate field derivatives do cell = cellStart, cellEnd-1 !< loop over all elements - ! BEGIN DEBUG call PetscSectionGetNumFields(section,numFields,ierr) CHKERRQ(ierr) - write(6,*) 'numFields', numFields - call DMPlexGetDepth(dm_local,depth,ierr) - CHKERRQ(ierr) - write(6,*) 'depth', depth - ! END DEBUG - call DMPlexVecGetClosure(dm_local,section,x_local,cell,x_scal,ierr) !< get Dofs belonging to element CHKERRQ(ierr) call DMPlexComputeCellGeometryAffineFEM(dm_local,cell,pV0,pCellJ,pInvcellJ,detJ,ierr) @@ -382,15 +400,15 @@ subroutine FEM_mech_formResidual(dm_local,xx_local,f_local,dummy,ierr) (((qPt*nBasis + basis)*dimPlex + comp)*dimPlex+comp+1)*dimPlex)) enddo enddo - materialpoint_F(1:dimPlex,1:dimPlex,qPt+1,cell+1) = & + homogenization_F(1:dimPlex,1:dimPlex,qPt+1,cell+1) = & reshape(matmul(BMat,x_scal),shape=[dimPlex,dimPlex], order=[2,1]) enddo - if (BBarStabilisation) then - detFAvg = math_det33(sum(materialpoint_F(1:3,1:3,1:nQuadrature,cell+1),dim=3)/real(nQuadrature)) + if (num%BBarStabilisation) then + detFAvg = math_det33(sum(homogenization_F(1:3,1:3,1:nQuadrature,cell+1),dim=3)/real(nQuadrature)) do qPt = 1, nQuadrature - materialpoint_F(1:dimPlex,1:dimPlex,qPt,cell+1) = & - materialpoint_F(1:dimPlex,1:dimPlex,qPt,cell+1)* & - (detFAvg/math_det33(materialpoint_F(1:3,1:3,qPt,cell+1)))**(1.0/real(dimPlex)) + homogenization_F(1:dimPlex,1:dimPlex,qPt,cell+1) = & + homogenization_F(1:dimPlex,1:dimPlex,qPt,cell+1)* & + (detFAvg/math_det33(homogenization_F(1:3,1:3,qPt,cell+1)))**(1.0/real(dimPlex)) enddo endif @@ -425,7 +443,7 @@ subroutine FEM_mech_formResidual(dm_local,xx_local,f_local,dummy,ierr) enddo f_scal = f_scal + & matmul(transpose(BMat), & - reshape(transpose(materialpoint_P(1:dimPlex,1:dimPlex,qPt+1,cell+1)), & + reshape(transpose(homogenization_P(1:dimPlex,1:dimPlex,qPt+1,cell+1)), & shape=[dimPlex*dimPlex]))*qWeights(qPt+1) enddo f_scal = f_scal*abs(detJ) @@ -484,7 +502,7 @@ subroutine FEM_mech_formJacobian(dm_local,xx_local,Jac_pre,Jac,dummy,ierr) call MatZeroEntries(Jac,ierr); CHKERRQ(ierr) call DMGetDS(dm_local,prob,ierr); CHKERRQ(ierr) call PetscDSGetTabulation(prob,0,basisField,basisFieldDer,ierr) -#if (PETSC_VERSION_MINOR < 11) +#if (PETSC_VERSION_MINOR < 12) call DMGetSection(dm_local,section,ierr); CHKERRQ(ierr) #else call DMGetLocalSection(dm_local,section,ierr); CHKERRQ(ierr) @@ -527,27 +545,27 @@ subroutine FEM_mech_formJacobian(dm_local,xx_local,Jac_pre,Jac,dummy,ierr) (((qPt*nBasis + basis)*dimPlex + comp)*dimPlex+comp+1)*dimPlex)) enddo enddo - MatA = matmul(reshape(reshape(materialpoint_dPdF(1:dimPlex,1:dimPlex,1:dimPlex,1:dimPlex,qPt+1,cell+1), & + MatA = matmul(reshape(reshape(homogenization_dPdF(1:dimPlex,1:dimPlex,1:dimPlex,1:dimPlex,qPt+1,cell+1), & shape=[dimPlex,dimPlex,dimPlex,dimPlex], order=[2,1,4,3]), & shape=[dimPlex*dimPlex,dimPlex*dimPlex]),BMat)*qWeights(qPt+1) - if (BBarStabilisation) then + if (num%BBarStabilisation) then F(1:dimPlex,1:dimPlex) = reshape(matmul(BMat,x_scal),shape=[dimPlex,dimPlex]) FInv = math_inv33(F) K_eA = K_eA + matmul(transpose(BMat),MatA)*math_det33(FInv)**(1.0/real(dimPlex)) K_eB = K_eB - & - matmul(transpose(matmul(reshape(materialpoint_F(1:dimPlex,1:dimPlex,qPt+1,cell+1), & + matmul(transpose(matmul(reshape(homogenization_F(1:dimPlex,1:dimPlex,qPt+1,cell+1), & shape=[dimPlex*dimPlex,1]), & matmul(reshape(FInv(1:dimPlex,1:dimPlex), & shape=[1,dimPlex*dimPlex],order=[2,1]),BMat))),MatA) MatB = MatB + & - matmul(reshape(materialpoint_F(1:dimPlex,1:dimPlex,qPt+1,cell+1),shape=[1,dimPlex*dimPlex]),MatA) + matmul(reshape(homogenization_F(1:dimPlex,1:dimPlex,qPt+1,cell+1),shape=[1,dimPlex*dimPlex]),MatA) FAvg = FAvg + F BMatAvg = BMatAvg + BMat else K_eA = K_eA + matmul(transpose(BMat),MatA) endif enddo - if (BBarStabilisation) then + if (num%BBarStabilisation) then FInv = math_inv33(FAvg) K_e = K_eA*math_det33(FAvg/real(nQuadrature))**(1.0/real(dimPlex)) + & (matmul(matmul(transpose(BMatAvg), & @@ -556,7 +574,7 @@ subroutine FEM_mech_formJacobian(dm_local,xx_local,Jac_pre,Jac,dummy,ierr) else K_e = K_eA endif - K_e = (K_e + eps*math_identity2nd(cellDof)) * abs(detJ) + K_e = (K_e + eps*math_eye(cellDof)) * abs(detJ) #ifndef __INTEL_COMPILER pK_e(1:cellDOF**2) => K_e #else @@ -576,7 +594,11 @@ subroutine FEM_mech_formJacobian(dm_local,xx_local,Jac_pre,Jac,dummy,ierr) !-------------------------------------------------------------------------------------------------- ! apply boundary conditions +#if (PETSC_VERSION_MINOR < 14) call DMPlexCreateRigidBody(dm_local,matnull,ierr); CHKERRQ(ierr) +#else + call DMPlexCreateRigidBody(dm_local,0,matnull,ierr); CHKERRQ(ierr) +#endif call MatSetNullSpace(Jac,matnull,ierr); CHKERRQ(ierr) call MatSetNearNullSpace(Jac,matnull,ierr); CHKERRQ(ierr) call MatNullSpaceDestroy(matnull,ierr); CHKERRQ(ierr) @@ -608,7 +630,7 @@ subroutine FEM_mech_forward(guess,timeinc,timeinc_old,fieldBC) ! forward last inc if (guess .and. .not. cutBack) then ForwardData = .True. - materialpoint_F0 = materialpoint_F + homogenization_F0 = homogenization_F call SNESGetDM(mech_snes,dm_local,ierr); CHKERRQ(ierr) !< retrieve mesh info from mech_snes into dm_local call DMGetSection(dm_local,section,ierr); CHKERRQ(ierr) call DMGetLocalVector(dm_local,x_local,ierr); CHKERRQ(ierr) @@ -657,16 +679,16 @@ subroutine FEM_mech_converged(snes_local,PETScIter,xnorm,snorm,fnorm,reason,dumm !-------------------------------------------------------------------------------------------------- ! report - divTol = max(maxval(abs(P_av(1:dimPlex,1:dimPlex)))*err_struct_tolRel,err_struct_tolAbs) + divTol = max(maxval(abs(P_av(1:dimPlex,1:dimPlex)))*num%eps_struct_rtol,num%eps_struct_atol) call SNESConvergedDefault(snes_local,PETScIter,xnorm,snorm,fnorm/divTol,reason,dummy,ierr) CHKERRQ(ierr) if (terminallyIll) reason = SNES_DIVERGED_FUNCTION_DOMAIN - write(6,'(1/,1x,a,a,i0,a,i0,f0.3)') trim(incInfo), & + print'(/,1x,a,a,i0,a,i0,f0.3)', trim(incInfo), & ' @ Iteration ',PETScIter,' mechanical residual norm = ', & int(fnorm/divTol),fnorm/divTol-int(fnorm/divTol) - write(6,'(/,a,/,3(3(2x,f12.4,1x)/))',advance='no') ' Piola--Kirchhoff stress / MPa =',& + write(IO_STDOUT,'(/,a,/,3(3(2x,f12.4,1x)/))',advance='no') ' Piola--Kirchhoff stress / MPa =',& transpose(P_av)*1.e-6_pReal - flush(6) + flush(IO_STDOUT) end subroutine FEM_mech_converged diff --git a/src/numerics.f90 b/src/numerics.f90 deleted file mode 100644 index 8d242c71d..000000000 --- a/src/numerics.f90 +++ /dev/null @@ -1,311 +0,0 @@ -!-------------------------------------------------------------------------------------------------- -!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH -!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH -!> @brief Managing of parameters related to numerics -!-------------------------------------------------------------------------------------------------- -module numerics - use prec - use IO - -#ifdef PETSc -#include - use petscsys -#endif -!$ use OMP_LIB - - implicit none - private - - integer, protected, public :: & - iJacoStiffness = 1, & !< frequency of stiffness update - randomSeed = 0, & !< fixed seeding for pseudo-random number generator, Default 0: use random seed - worldrank = 0, & !< MPI worldrank (/=0 for MPI simulations only) - worldsize = 1 !< MPI worldsize (/=1 for MPI simulations only) - integer(4), protected, public :: & - DAMASK_NumThreadsInt = 0 !< value stored in environment variable DAMASK_NUM_THREADS, set to zero if no OpenMP directive - real(pReal), protected, public :: & - defgradTolerance = 1.0e-7_pReal, & !< deviation of deformation gradient that is still allowed (used by CPFEM to determine outdated ffn1) - numerics_unitlength = 1.0_pReal, & !< determines the physical length of one computational length unit - charLength = 1.0_pReal, & !< characteristic length scale for gradient problems - residualStiffness = 1.0e-6_pReal !< non-zero residual damage - logical, protected, public :: & - usePingPong = .true. - -!-------------------------------------------------------------------------------------------------- -! field parameters: - real(pReal), protected, public :: & - err_struct_tolAbs = 1.0e-10_pReal, & !< absolute tolerance for mechanical equilibrium - err_struct_tolRel = 1.0e-4_pReal, & !< relative tolerance for mechanical equilibrium - err_thermal_tolAbs = 1.0e-2_pReal, & !< absolute tolerance for thermal equilibrium - err_thermal_tolRel = 1.0e-6_pReal, & !< relative tolerance for thermal equilibrium - err_damage_tolAbs = 1.0e-2_pReal, & !< absolute tolerance for damage evolution - err_damage_tolRel = 1.0e-6_pReal !< relative tolerance for damage evolution - integer, protected, public :: & - itmax = 250, & !< maximum number of iterations - itmin = 1, & !< minimum number of iterations - stagItMax = 10, & !< max number of field level staggered iterations - maxCutBack = 3 !< max number of cut backs - -!-------------------------------------------------------------------------------------------------- -! spectral parameters: -#ifdef Grid - real(pReal), protected, public :: & - err_div_tolAbs = 1.0e-4_pReal, & !< absolute tolerance for equilibrium - err_div_tolRel = 5.0e-4_pReal, & !< relative tolerance for equilibrium - err_curl_tolAbs = 1.0e-10_pReal, & !< absolute tolerance for compatibility - err_curl_tolRel = 5.0e-4_pReal, & !< relative tolerance for compatibility - err_stress_tolAbs = 1.0e3_pReal, & !< absolute tolerance for fullfillment of stress BC - err_stress_tolRel = 0.01_pReal, & !< relative tolerance for fullfillment of stress BC - polarAlpha = 1.0_pReal, & !< polarization scheme parameter 0.0 < alpha < 2.0. alpha = 1.0 ==> AL scheme, alpha = 2.0 ==> accelerated scheme - polarBeta = 1.0_pReal !< polarization scheme parameter 0.0 < beta < 2.0. beta = 1.0 ==> AL scheme, beta = 2.0 ==> accelerated scheme - character(len=pStringLen), protected, public :: & - petsc_options = '' -#endif - -!-------------------------------------------------------------------------------------------------- -! FEM parameters: -#ifdef FEM - integer, protected, public :: & - integrationOrder = 2, & !< order of quadrature rule required - structOrder = 2 !< order of displacement shape functions - logical, protected, public :: & - BBarStabilisation = .false. - character(len=pStringLen), protected, public :: & - petsc_options = '' -#endif - - public :: numerics_init - -contains - - -!-------------------------------------------------------------------------------------------------- -!> @brief reads in parameters from numerics.config and sets openMP related parameters. Also does -! a sanity check -!-------------------------------------------------------------------------------------------------- -subroutine numerics_init -!$ integer :: gotDAMASK_NUM_THREADS = 1 - integer :: i,j, ierr - integer, allocatable, dimension(:) :: chunkPos - character(len=pStringLen), dimension(:), allocatable :: fileContent - character(len=pStringLen) :: & - tag ,& - line - logical :: fexist -!$ character(len=6) DAMASK_NumThreadsString ! environment variable DAMASK_NUM_THREADS - -#ifdef PETSc - call MPI_Comm_rank(PETSC_COMM_WORLD,worldrank,ierr);CHKERRQ(ierr) - call MPI_Comm_size(PETSC_COMM_WORLD,worldsize,ierr);CHKERRQ(ierr) -#endif - write(6,'(/,a)') ' <<<+- numerics init -+>>>' - -!$ call GET_ENVIRONMENT_VARIABLE(NAME='DAMASK_NUM_THREADS',VALUE=DAMASK_NumThreadsString,STATUS=gotDAMASK_NUM_THREADS) ! get environment variable DAMASK_NUM_THREADS... -!$ if(gotDAMASK_NUM_THREADS /= 0) then ! could not get number of threads, set it to 1 -!$ call IO_warning(35,ext_msg='BEGIN:'//DAMASK_NumThreadsString//':END') -!$ DAMASK_NumThreadsInt = 1_4 -!$ else -!$ read(DAMASK_NumThreadsString,'(i6)') DAMASK_NumThreadsInt ! read as integer -!$ if (DAMASK_NumThreadsInt < 1_4) DAMASK_NumThreadsInt = 1_4 ! in case of string conversion fails, set it to one -!$ endif -!$ call omp_set_num_threads(DAMASK_NumThreadsInt) ! set number of threads for parallel execution - - inquire(file='numerics.config', exist=fexist) - - fileExists: if (fexist) then - write(6,'(a,/)') ' using values from config file' - flush(6) - fileContent = IO_read_ASCII('numerics.config') - do j=1, size(fileContent) - -!-------------------------------------------------------------------------------------------------- -! read variables from config file and overwrite default parameters if keyword is present - line = fileContent(j) - do i=1,len(line) - if(line(i:i) == '=') line(i:i) = ' ' ! also allow keyword = value version - enddo - if (IO_isBlank(line)) cycle ! skip empty lines - chunkPos = IO_stringPos(line) - tag = IO_lc(IO_stringValue(line,chunkPos,1)) ! extract key - - select case(tag) - case ('defgradtolerance') - defgradTolerance = IO_floatValue(line,chunkPos,2) - case ('ijacostiffness') - iJacoStiffness = IO_intValue(line,chunkPos,2) - case ('usepingpong') - usepingpong = IO_intValue(line,chunkPos,2) > 0 - case ('unitlength') - numerics_unitlength = IO_floatValue(line,chunkPos,2) - -!-------------------------------------------------------------------------------------------------- -! random seeding parameter - case ('random_seed','fixed_seed') - randomSeed = IO_intValue(line,chunkPos,2) - -!-------------------------------------------------------------------------------------------------- -! gradient parameter - case ('charlength') - charLength = IO_floatValue(line,chunkPos,2) - case ('residualstiffness') - residualStiffness = IO_floatValue(line,chunkPos,2) - -!-------------------------------------------------------------------------------------------------- -! field parameters - case ('err_struct_tolabs') - err_struct_tolAbs = IO_floatValue(line,chunkPos,2) - case ('err_struct_tolrel') - err_struct_tolRel = IO_floatValue(line,chunkPos,2) - case ('err_thermal_tolabs') - err_thermal_tolabs = IO_floatValue(line,chunkPos,2) - case ('err_thermal_tolrel') - err_thermal_tolrel = IO_floatValue(line,chunkPos,2) - case ('err_damage_tolabs') - err_damage_tolabs = IO_floatValue(line,chunkPos,2) - case ('err_damage_tolrel') - err_damage_tolrel = IO_floatValue(line,chunkPos,2) - case ('itmax') - itmax = IO_intValue(line,chunkPos,2) - case ('itmin') - itmin = IO_intValue(line,chunkPos,2) - case ('maxcutback') - maxCutBack = IO_intValue(line,chunkPos,2) - case ('maxstaggerediter') - stagItMax = IO_intValue(line,chunkPos,2) - -#ifdef PETSC - case ('petsc_options') - petsc_options = trim(line(chunkPos(4):)) -#endif - -!-------------------------------------------------------------------------------------------------- -! spectral parameters -#ifdef Grid - case ('err_div_tolabs') - err_div_tolAbs = IO_floatValue(line,chunkPos,2) - case ('err_div_tolrel') - err_div_tolRel = IO_floatValue(line,chunkPos,2) - case ('err_stress_tolrel') - err_stress_tolrel = IO_floatValue(line,chunkPos,2) - case ('err_stress_tolabs') - err_stress_tolabs = IO_floatValue(line,chunkPos,2) - case ('err_curl_tolabs') - err_curl_tolAbs = IO_floatValue(line,chunkPos,2) - case ('err_curl_tolrel') - err_curl_tolRel = IO_floatValue(line,chunkPos,2) - case ('polaralpha') - polarAlpha = IO_floatValue(line,chunkPos,2) - case ('polarbeta') - polarBeta = IO_floatValue(line,chunkPos,2) -#endif - -!-------------------------------------------------------------------------------------------------- -! FEM parameters -#ifdef FEM - case ('integrationorder') - integrationorder = IO_intValue(line,chunkPos,2) - case ('structorder') - structorder = IO_intValue(line,chunkPos,2) - case ('bbarstabilisation') - BBarStabilisation = IO_intValue(line,chunkPos,2) > 0 -#endif - end select - enddo - else fileExists - write(6,'(a,/)') ' using standard values' - flush(6) - endif fileExists - - -!-------------------------------------------------------------------------------------------------- -! writing parameters to output - write(6,'(a24,1x,es8.1)') ' defgradTolerance: ',defgradTolerance - write(6,'(a24,1x,i8)') ' iJacoStiffness: ',iJacoStiffness - write(6,'(a24,1x,L8)') ' use ping pong scheme: ',usepingpong - write(6,'(a24,1x,es8.1,/)')' unitlength: ',numerics_unitlength - -!-------------------------------------------------------------------------------------------------- -! Random seeding parameter - write(6,'(a16,1x,i16,/)') ' random_seed: ',randomSeed - if (randomSeed <= 0) & - write(6,'(a,/)') ' random seed will be generated!' - -!-------------------------------------------------------------------------------------------------- -! gradient parameter - write(6,'(a24,1x,es8.1)') ' charLength: ',charLength - write(6,'(a24,1x,es8.1)') ' residualStiffness: ',residualStiffness - -!-------------------------------------------------------------------------------------------------- -! openMP parameter - !$ write(6,'(a24,1x,i8,/)') ' number of threads: ',DAMASK_NumThreadsInt - -!-------------------------------------------------------------------------------------------------- -! field parameters - write(6,'(a24,1x,i8)') ' itmax: ',itmax - write(6,'(a24,1x,i8)') ' itmin: ',itmin - write(6,'(a24,1x,i8)') ' maxCutBack: ',maxCutBack - write(6,'(a24,1x,i8)') ' maxStaggeredIter: ',stagItMax - write(6,'(a24,1x,es8.1)') ' err_struct_tolAbs: ',err_struct_tolAbs - write(6,'(a24,1x,es8.1)') ' err_struct_tolRel: ',err_struct_tolRel - write(6,'(a24,1x,es8.1)') ' err_thermal_tolabs: ',err_thermal_tolabs - write(6,'(a24,1x,es8.1)') ' err_thermal_tolrel: ',err_thermal_tolrel - write(6,'(a24,1x,es8.1)') ' err_damage_tolabs: ',err_damage_tolabs - write(6,'(a24,1x,es8.1)') ' err_damage_tolrel: ',err_damage_tolrel - -!-------------------------------------------------------------------------------------------------- -! spectral parameters -#ifdef Grid - write(6,'(a24,1x,es8.1)') ' err_stress_tolAbs: ',err_stress_tolAbs - write(6,'(a24,1x,es8.1)') ' err_stress_tolRel: ',err_stress_tolRel - write(6,'(a24,1x,es8.1)') ' err_div_tolAbs: ',err_div_tolAbs - write(6,'(a24,1x,es8.1)') ' err_div_tolRel: ',err_div_tolRel - write(6,'(a24,1x,es8.1)') ' err_curl_tolAbs: ',err_curl_tolAbs - write(6,'(a24,1x,es8.1)') ' err_curl_tolRel: ',err_curl_tolRel - write(6,'(a24,1x,es8.1)') ' polarAlpha: ',polarAlpha - write(6,'(a24,1x,es8.1)') ' polarBeta: ',polarBeta -#endif - -!-------------------------------------------------------------------------------------------------- -! spectral parameters -#ifdef FEM - write(6,'(a24,1x,i8)') ' integrationOrder: ',integrationOrder - write(6,'(a24,1x,i8)') ' structOrder: ',structOrder - write(6,'(a24,1x,L8)') ' B-Bar stabilisation: ',BBarStabilisation -#endif - -#ifdef PETSC - write(6,'(a24,1x,a)') ' PETSc_options: ',trim(petsc_options) -#endif - -!-------------------------------------------------------------------------------------------------- -! sanity checks - if (defgradTolerance <= 0.0_pReal) call IO_error(301,ext_msg='defgradTolerance') - if (iJacoStiffness < 1) call IO_error(301,ext_msg='iJacoStiffness') - if (numerics_unitlength <= 0.0_pReal) call IO_error(301,ext_msg='unitlength') - if (residualStiffness < 0.0_pReal) call IO_error(301,ext_msg='residualStiffness') - if (itmax <= 1) call IO_error(301,ext_msg='itmax') - if (itmin > itmax .or. itmin < 1) call IO_error(301,ext_msg='itmin') - if (maxCutBack < 0) call IO_error(301,ext_msg='maxCutBack') - if (stagItMax < 0) call IO_error(301,ext_msg='maxStaggeredIter') - if (err_struct_tolRel <= 0.0_pReal) call IO_error(301,ext_msg='err_struct_tolRel') - if (err_struct_tolAbs <= 0.0_pReal) call IO_error(301,ext_msg='err_struct_tolAbs') - if (err_thermal_tolabs <= 0.0_pReal) call IO_error(301,ext_msg='err_thermal_tolabs') - if (err_thermal_tolrel <= 0.0_pReal) call IO_error(301,ext_msg='err_thermal_tolrel') - if (err_damage_tolabs <= 0.0_pReal) call IO_error(301,ext_msg='err_damage_tolabs') - if (err_damage_tolrel <= 0.0_pReal) call IO_error(301,ext_msg='err_damage_tolrel') -#ifdef Grid - if (err_stress_tolrel <= 0.0_pReal) call IO_error(301,ext_msg='err_stress_tolRel') - if (err_stress_tolabs <= 0.0_pReal) call IO_error(301,ext_msg='err_stress_tolAbs') - if (err_div_tolRel < 0.0_pReal) call IO_error(301,ext_msg='err_div_tolRel') - if (err_div_tolAbs <= 0.0_pReal) call IO_error(301,ext_msg='err_div_tolAbs') - if (err_curl_tolRel < 0.0_pReal) call IO_error(301,ext_msg='err_curl_tolRel') - if (err_curl_tolAbs <= 0.0_pReal) call IO_error(301,ext_msg='err_curl_tolAbs') - if (polarAlpha <= 0.0_pReal .or. & - polarAlpha > 2.0_pReal) call IO_error(301,ext_msg='polarAlpha') - if (polarBeta < 0.0_pReal .or. & - polarBeta > 2.0_pReal) call IO_error(301,ext_msg='polarBeta') -#endif - -end subroutine numerics_init - -end module numerics diff --git a/src/parallelization.f90 b/src/parallelization.f90 new file mode 100644 index 000000000..fb50a1a23 --- /dev/null +++ b/src/parallelization.f90 @@ -0,0 +1,95 @@ +!-------------------------------------------------------------------------------------------------- +!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH +!> @brief Inquires variables related to parallelization (openMP, MPI) +!-------------------------------------------------------------------------------------------------- +module parallelization + use, intrinsic :: ISO_fortran_env, only: & + OUTPUT_UNIT + +#ifdef PETSc +#include + use petscsys +#endif +!$ use OMP_LIB + + use prec + + implicit none + private + + integer, protected, public :: & + worldrank = 0, & !< MPI worldrank (/=0 for MPI simulations only) + worldsize = 1 !< MPI worldsize (/=1 for MPI simulations only) + + public :: & + parallelization_init + +contains + +!-------------------------------------------------------------------------------------------------- +!> @brief calls subroutines that reads material, numerics and debug configuration files +!-------------------------------------------------------------------------------------------------- +subroutine parallelization_init + + integer :: err, typeSize +!$ integer :: got_env, DAMASK_NUM_THREADS, threadLevel +!$ character(len=6) NumThreadsString +#ifdef PETSc + PetscErrorCode :: petsc_err + +#else + print'(/,a)', ' <<<+- parallelization init -+>>>'; flush(OUTPUT_UNIT) +#endif + +#ifdef PETSc +#ifdef _OPENMP + ! If openMP is enabled, check if the MPI libary supports it and initialize accordingly. + ! Otherwise, the first call to PETSc will do the initialization. + call MPI_Init_Thread(MPI_THREAD_FUNNELED,threadLevel,err) + if (err /= 0) error stop 'MPI init failed' + if (threadLevel>>' + + call MPI_Comm_size(PETSC_COMM_WORLD,worldsize,err) + if (err /= 0) error stop 'Could not determine worldsize' + if (worldrank == 0) print'(a,i3)', ' MPI processes: ',worldsize + + call MPI_Type_size(MPI_INTEGER,typeSize,err) + if (err /= 0) error stop 'Could not determine MPI integer size' + if (typeSize*8 /= bit_size(0)) error stop 'Mismatch between MPI and DAMASK integer' + + call MPI_Type_size(MPI_DOUBLE,typeSize,err) + if (err /= 0) error stop 'Could not determine MPI real size' + if (typeSize*8 /= storage_size(0.0_pReal)) error stop 'Mismatch between MPI and DAMASK real' +#endif + + if (worldrank /= 0) then + close(OUTPUT_UNIT) ! disable output + open(OUTPUT_UNIT,file='/dev/null',status='replace') ! close() alone will leave some temp files in cwd + endif + +!$ call get_environment_variable(name='DAMASK_NUM_THREADS',value=NumThreadsString,STATUS=got_env) +!$ if(got_env /= 0) then +!$ print*, 'Could not determine value of $DAMASK_NUM_THREADS' +!$ DAMASK_NUM_THREADS = 1_pI32 +!$ else +!$ read(NumThreadsString,'(i6)') DAMASK_NUM_THREADS +!$ if (DAMASK_NUM_THREADS < 1_pI32) then +!$ print*, 'Invalid DAMASK_NUM_THREADS: '//trim(NumThreadsString) +!$ DAMASK_NUM_THREADS = 1_pI32 +!$ endif +!$ endif +!$ print'(a,i2)', ' DAMASK_NUM_THREADS: ',DAMASK_NUM_THREADS +!$ call omp_set_num_threads(DAMASK_NUM_THREADS) + +end subroutine parallelization_init + +end module parallelization diff --git a/src/prec.f90 b/src/prec.f90 index 646f7dd69..b2866a4f4 100644 --- a/src/prec.f90 +++ b/src/prec.f90 @@ -8,18 +8,20 @@ !-------------------------------------------------------------------------------------------------- module prec use, intrinsic :: IEEE_arithmetic + use, intrinsic :: ISO_C_binding implicit none public ! https://software.intel.com/en-us/blogs/2017/03/27/doctor-fortran-in-it-takes-all-kinds integer, parameter :: pReal = IEEE_selected_real_kind(15,307) !< number with 15 significant digits, up to 1e+-307 (typically 64 bit) + integer, parameter :: pI32 = selected_int_kind(9) !< number with at least up to +-1e9 (typically 32 bit) + integer, parameter :: pI64 = selected_int_kind(18) !< number with at least up to +-1e18 (typically 64 bit) #if(INT==8) - integer, parameter :: pInt = selected_int_kind(18) !< number with at least up to +-1e18 (typically 64 bit) + integer, parameter :: pInt = pI64 #else - integer, parameter :: pInt = selected_int_kind(9) !< number with at least up to +-1e9 (typically 32 bit) + integer, parameter :: pInt = pI32 #endif - integer, parameter :: pLongInt = selected_int_kind(18) !< number with at least up to +-1e18 (typically 64 bit) integer, parameter :: pStringLen = 256 !< default string length integer, parameter :: pPathLen = 4096 !< maximum length of a path name on linux @@ -45,7 +47,7 @@ module prec dotState, & !< rate of state change deltaState !< increment of state change real(pReal), allocatable, dimension(:,:) :: & - partionedState0, & + partitionedState0, & subState0 end type @@ -75,32 +77,32 @@ module prec emptyStringArray = [character(len=pStringLen)::] private :: & - unitTest + selfTest contains !-------------------------------------------------------------------------------------------------- -!> @brief reporting precision +!> @brief report precision and do self test !-------------------------------------------------------------------------------------------------- subroutine prec_init - write(6,'(/,a)') ' <<<+- prec init -+>>>' + print'(/,a)', ' <<<+- prec init -+>>>' - write(6,'(a,i3)') ' Size of integer in bit: ',bit_size(0) - write(6,'(a,i19)') ' Maximum value: ',huge(0) - write(6,'(/,a,i3)') ' Size of float in bit: ',storage_size(0.0_pReal) - write(6,'(a,e10.3)') ' Maximum value: ',huge(0.0_pReal) - write(6,'(a,e10.3)') ' Minimum value: ',tiny(0.0_pReal) - write(6,'(a,i3)') ' Decimal precision: ',precision(0.0_pReal) + print'(a,i3)', ' Size of integer in bit: ',bit_size(0) + print'(a,i19)', ' Maximum value: ',huge(0) + print'(/,a,i3)', ' Size of float in bit: ',storage_size(0.0_pReal) + print'(a,e10.3)', ' Maximum value: ',huge(0.0_pReal) + print'(a,e10.3)', ' Minimum value: ',tiny(0.0_pReal) + print'(a,i3)', ' Decimal precision: ',precision(0.0_pReal) - call unitTest + call selfTest end subroutine prec_init !-------------------------------------------------------------------------------------------------- -!> @brief equality comparison for float with double precision +!> @brief Test floating point numbers with double precision for equality. ! replaces "==" but for certain (relative) tolerance. Counterpart to dNeq ! https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ ! AlmostEqualRelative @@ -123,7 +125,7 @@ end function dEq !-------------------------------------------------------------------------------------------------- -!> @brief inequality comparison for float with double precision +!> @brief Test floating point numbers with double precision for inequality. ! replaces "!=" but for certain (relative) tolerance. Counterpart to dEq ! https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ ! AlmostEqualRelative NOT @@ -143,7 +145,7 @@ end function dNeq !-------------------------------------------------------------------------------------------------- -!> @brief equality to 0 comparison for float with double precision +!> @brief Test floating point number with double precision for equality to 0. ! replaces "==0" but everything not representable as a normal number is treated as 0. Counterpart to dNeq0 ! https://de.mathworks.com/help/matlab/ref/realmin.html ! https://docs.oracle.com/cd/E19957-01/806-3568/ncg_math.html @@ -166,7 +168,7 @@ end function dEq0 !-------------------------------------------------------------------------------------------------- -!> @brief inequality to 0 comparison for float with double precision +!> @brief Test floating point number with double precision for inequality to 0. ! replaces "!=0" but everything not representable as a normal number is treated as 0. Counterpart to dEq0 ! https://de.mathworks.com/help/matlab/ref/realmin.html ! https://docs.oracle.com/cd/E19957-01/806-3568/ncg_math.html @@ -186,7 +188,7 @@ end function dNeq0 !-------------------------------------------------------------------------------------------------- -!> @brief equality comparison for complex with double precision +!> @brief Test complex floating point numbers with double precision for equality. ! replaces "==" but for certain (relative) tolerance. Counterpart to cNeq ! https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ ! probably a component wise comparison would be more accurate than the comparsion of the absolute @@ -210,7 +212,7 @@ end function cEq !-------------------------------------------------------------------------------------------------- -!> @brief inequality comparison for complex with double precision +!> @brief Test complex floating point numbers with double precision for inequality. ! replaces "!=" but for certain (relative) tolerance. Counterpart to cEq ! https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ ! probably a component wise comparison would be more accurate than the comparsion of the absolute @@ -231,24 +233,94 @@ end function cNeq !-------------------------------------------------------------------------------------------------- -!> @brief check correctness of some prec functions +!> @brief Decode byte array (C_SIGNED_CHAR) as C_FLOAT array (4 byte float). !-------------------------------------------------------------------------------------------------- -subroutine unitTest +pure function prec_bytesToC_FLOAT(bytes) + + integer(C_SIGNED_CHAR), dimension(:), intent(in) :: bytes !< byte-wise representation of a C_FLOAT array + real(C_FLOAT), dimension(size(bytes,kind=pI64)/(storage_size(0._C_FLOAT,pI64)/8_pI64)) :: & + prec_bytesToC_FLOAT + + prec_bytesToC_FLOAT = transfer(bytes,prec_bytesToC_FLOAT,size(prec_bytesToC_FLOAT)) + +end function prec_bytesToC_FLOAT + + +!-------------------------------------------------------------------------------------------------- +!> @brief Decode byte array (C_SIGNED_CHAR) as C_DOUBLE array (8 byte float). +!-------------------------------------------------------------------------------------------------- +pure function prec_bytesToC_DOUBLE(bytes) + + integer(C_SIGNED_CHAR), dimension(:), intent(in) :: bytes !< byte-wise representation of a C_DOUBLE array + real(C_DOUBLE), dimension(size(bytes,kind=pI64)/(storage_size(0._C_DOUBLE,pI64)/8_pI64)) :: & + prec_bytesToC_DOUBLE + + prec_bytesToC_DOUBLE = transfer(bytes,prec_bytesToC_DOUBLE,size(prec_bytesToC_DOUBLE)) + +end function prec_bytesToC_DOUBLE + + +!-------------------------------------------------------------------------------------------------- +!> @brief Decode byte array (C_SIGNED_CHAR) as C_INT32_T array (4 byte signed integer). +!-------------------------------------------------------------------------------------------------- +pure function prec_bytesToC_INT32_T(bytes) + + integer(C_SIGNED_CHAR), dimension(:), intent(in) :: bytes !< byte-wise representation of a C_INT32_T array + integer(C_INT32_T), dimension(size(bytes,kind=pI64)/(storage_size(0_C_INT32_T,pI64)/8_pI64)) :: & + prec_bytesToC_INT32_T + + prec_bytesToC_INT32_T = transfer(bytes,prec_bytesToC_INT32_T,size(prec_bytesToC_INT32_T)) + +end function prec_bytesToC_INT32_T + + +!-------------------------------------------------------------------------------------------------- +!> @brief Decode byte array (C_SIGNED_CHAR) as C_INT64_T array (8 byte signed integer). +!-------------------------------------------------------------------------------------------------- +pure function prec_bytesToC_INT64_T(bytes) + + integer(C_SIGNED_CHAR), dimension(:), intent(in) :: bytes !< byte-wise representation of a C_INT64_T array + integer(C_INT64_T), dimension(size(bytes,kind=pI64)/(storage_size(0_C_INT64_T,pI64)/8_pI64)) :: & + prec_bytesToC_INT64_T + + prec_bytesToC_INT64_T = transfer(bytes,prec_bytesToC_INT64_T,size(prec_bytesToC_INT64_T)) + +end function prec_bytesToC_INT64_T + + +!-------------------------------------------------------------------------------------------------- +!> @brief Check correctness of some prec functions. +!-------------------------------------------------------------------------------------------------- +subroutine selfTest integer, allocatable, dimension(:) :: realloc_lhs_test - real(pReal), dimension(2) :: r - external :: & - quit + real(pReal), dimension(1) :: f + integer(pInt), dimension(1) :: i + real(pReal), dimension(2) :: r + + realloc_lhs_test = [1,2] + if (any(realloc_lhs_test/=[1,2])) error stop 'LHS allocation' call random_number(r) r = r/minval(r) - if(.not. all(dEq(r,r+PREAL_EPSILON))) call quit(9000) - if(dEq(r(1),r(2)) .and. dNeq(r(1),r(2))) call quit(9000) - if(.not. all(dEq0(r-(r+PREAL_MIN)))) call quit(9000) + if(.not. all(dEq(r,r+PREAL_EPSILON))) error stop 'dEq' + if(dEq(r(1),r(2)) .and. dNeq(r(1),r(2))) error stop 'dNeq' + if(.not. all(dEq0(r-(r+PREAL_MIN)))) error stop 'dEq0' - realloc_lhs_test = [1,2] - if (any(realloc_lhs_test/=[1,2])) call quit(9000) + ! https://www.binaryconvert.com + ! https://www.rapidtables.com/convert/number/binary-to-decimal.html + f = real(prec_bytesToC_FLOAT(int([-65,+11,-102,+75],C_SIGNED_CHAR)),pReal) + if(dNeq(f(1),20191102.0_pReal,0.0_pReal)) error stop 'prec_bytesToC_FLOAT' -end subroutine unitTest + f = real(prec_bytesToC_DOUBLE(int([0,0,0,-32,+119,+65,+115,65],C_SIGNED_CHAR)),pReal) + if(dNeq(f(1),20191102.0_pReal,0.0_pReal)) error stop 'prec_bytesToC_DOUBLE' + + i = int(prec_bytesToC_INT32_T(int([+126,+23,+52,+1],C_SIGNED_CHAR)),pInt) + if(i(1) /= 20191102_pInt) error stop 'prec_bytesToC_INT32_T' + + i = int(prec_bytesToC_INT64_T(int([+126,+23,+52,+1,0,0,0,0],C_SIGNED_CHAR)),pInt) + if(i(1) /= 20191102_pInt) error stop 'prec_bytesToC_INT64_T' + +end subroutine selfTest end module prec diff --git a/src/quaternions.f90 b/src/quaternions.f90 index 991f970ab..c5c43e3c1 100644 --- a/src/quaternions.f90 +++ b/src/quaternions.f90 @@ -7,7 +7,6 @@ !--------------------------------------------------------------------------------------------------- module quaternions use prec - use IO implicit none private @@ -101,18 +100,21 @@ module quaternions assignment(=), & conjg, aimag, & log, exp, & + abs, dot_product, & + inverse, & real contains !-------------------------------------------------------------------------------------------------- -!> @brief do self test +!> @brief Do self test. !-------------------------------------------------------------------------------------------------- subroutine quaternions_init - write(6,'(/,a)') ' <<<+- quaternions init -+>>>'; flush(6) - call unitTest + print'(/,a)', ' <<<+- quaternions init -+>>>'; flush(6) + + call selfTest end subroutine quaternions_init @@ -457,74 +459,76 @@ end function inverse !-------------------------------------------------------------------------------------------------- !> @brief check correctness of some quaternions functions !-------------------------------------------------------------------------------------------------- -subroutine unitTest +subroutine selfTest real(pReal), dimension(4) :: qu type(quaternion) :: q, q_2 + if(dNeq(abs(P),1.0_pReal)) error stop 'P not in {-1,+1}' + call random_number(qu) qu = (qu-0.5_pReal) * 2.0_pReal q = quaternion(qu) q_2= qu - if(any(dNeq(q%asArray(),q_2%asArray()))) call IO_error(0,ext_msg='assign_vec__') + if(any(dNeq(q%asArray(),q_2%asArray()))) error stop 'assign_vec__' q_2 = q + q - if(any(dNeq(q_2%asArray(),2.0_pReal*qu))) call IO_error(0,ext_msg='add__') + if(any(dNeq(q_2%asArray(),2.0_pReal*qu))) error stop 'add__' q_2 = q - q - if(any(dNeq0(q_2%asArray()))) call IO_error(0,ext_msg='sub__') + if(any(dNeq0(q_2%asArray()))) error stop 'sub__' q_2 = q * 5.0_pReal - if(any(dNeq(q_2%asArray(),5.0_pReal*qu))) call IO_error(0,ext_msg='mul__') + if(any(dNeq(q_2%asArray(),5.0_pReal*qu))) error stop 'mul__' q_2 = q / 0.5_pReal - if(any(dNeq(q_2%asArray(),2.0_pReal*qu))) call IO_error(0,ext_msg='div__') + if(any(dNeq(q_2%asArray(),2.0_pReal*qu))) error stop 'div__' q_2 = q * 0.3_pReal - if(dNeq0(abs(q)) .and. q_2 == q) call IO_error(0,ext_msg='eq__') + if(dNeq0(abs(q)) .and. q_2 == q) error stop 'eq__' q_2 = q - if(q_2 /= q) call IO_error(0,ext_msg='neq__') + if(q_2 /= q) error stop 'neq__' - if(dNeq(abs(q),norm2(qu))) call IO_error(0,ext_msg='abs__') + if(dNeq(abs(q),norm2(qu))) error stop 'abs__' if(dNeq(abs(q)**2.0_pReal, real(q*q%conjg()),1.0e-14_pReal)) & - call IO_error(0,ext_msg='abs__/*conjg') + error stop 'abs__/*conjg' - if(any(dNeq(q%asArray(),qu))) call IO_error(0,ext_msg='eq__') - if(dNeq(q%real(), qu(1))) call IO_error(0,ext_msg='real()') - if(any(dNeq(q%aimag(), qu(2:4)))) call IO_error(0,ext_msg='aimag()') + if(any(dNeq(q%asArray(),qu))) error stop 'eq__' + if(dNeq(q%real(), qu(1))) error stop 'real()' + if(any(dNeq(q%aimag(), qu(2:4)))) error stop 'aimag()' q_2 = q%homomorphed() - if(q /= q_2* (-1.0_pReal)) call IO_error(0,ext_msg='homomorphed') - if(dNeq(q_2%real(), qu(1)* (-1.0_pReal))) call IO_error(0,ext_msg='homomorphed/real') - if(any(dNeq(q_2%aimag(),qu(2:4)*(-1.0_pReal)))) call IO_error(0,ext_msg='homomorphed/aimag') + if(q /= q_2* (-1.0_pReal)) error stop 'homomorphed' + if(dNeq(q_2%real(), qu(1)* (-1.0_pReal))) error stop 'homomorphed/real' + if(any(dNeq(q_2%aimag(),qu(2:4)*(-1.0_pReal)))) error stop 'homomorphed/aimag' q_2 = conjg(q) - if(dNeq(abs(q),abs(q_2))) call IO_error(0,ext_msg='conjg/abs') - if(q /= conjg(q_2)) call IO_error(0,ext_msg='conjg/involution') - if(dNeq(q_2%real(), q%real())) call IO_error(0,ext_msg='conjg/real') - if(any(dNeq(q_2%aimag(),q%aimag()*(-1.0_pReal)))) call IO_error(0,ext_msg='conjg/aimag') + if(dNeq(abs(q),abs(q_2))) error stop 'conjg/abs' + if(q /= conjg(q_2)) error stop 'conjg/involution' + if(dNeq(q_2%real(), q%real())) error stop 'conjg/real' + if(any(dNeq(q_2%aimag(),q%aimag()*(-1.0_pReal)))) error stop 'conjg/aimag' if(abs(q) > 0.0_pReal) then q_2 = q * q%inverse() - if( dNeq(real(q_2), 1.0_pReal,1.0e-15_pReal)) call IO_error(0,ext_msg='inverse/real') - if(any(dNeq0(aimag(q_2), 1.0e-15_pReal))) call IO_error(0,ext_msg='inverse/aimag') + if( dNeq(real(q_2), 1.0_pReal,1.0e-15_pReal)) error stop 'inverse/real' + if(any(dNeq0(aimag(q_2), 1.0e-15_pReal))) error stop 'inverse/aimag' q_2 = q/abs(q) q_2 = conjg(q_2) - inverse(q_2) - if(any(dNeq0(q_2%asArray(),1.0e-15_pReal))) call IO_error(0,ext_msg='inverse/conjg') + if(any(dNeq0(q_2%asArray(),1.0e-15_pReal))) error stop 'inverse/conjg' endif - if(dNeq(dot_product(qu,qu),dot_product(q,q))) call IO_error(0,ext_msg='dot_product') + if(dNeq(dot_product(qu,qu),dot_product(q,q))) error stop 'dot_product' #if !(defined(__GFORTRAN__) && __GNUC__ < 9) if (norm2(aimag(q)) > 0.0_pReal) then - if (dNeq0(abs(q-exp(log(q))),1.0e-13_pReal)) call IO_error(0,ext_msg='exp/log') - if (dNeq0(abs(q-log(exp(q))),1.0e-13_pReal)) call IO_error(0,ext_msg='log/exp') + if (dNeq0(abs(q-exp(log(q))),1.0e-13_pReal)) error stop 'exp/log' + if (dNeq0(abs(q-log(exp(q))),1.0e-13_pReal)) error stop 'log/exp' endif #endif -end subroutine unitTest +end subroutine selfTest end module quaternions diff --git a/src/results.f90 b/src/results.f90 index cfd495a71..1ccc6bfab 100644 --- a/src/results.f90 +++ b/src/results.f90 @@ -6,8 +6,8 @@ !-------------------------------------------------------------------------------------------------- module results use DAMASK_interface + use parallelization use rotations - use numerics use HDF5_utilities #ifdef PETSc use PETSC @@ -15,31 +15,31 @@ module results implicit none private - + integer(HID_T) :: resultsFile interface results_writeDataset - + module procedure results_writeTensorDataset_real module procedure results_writeVectorDataset_real module procedure results_writeScalarDataset_real - + module procedure results_writeTensorDataset_int module procedure results_writeVectorDataset_int - + module procedure results_writeScalarDataset_rotation - + end interface results_writeDataset - + interface results_addAttribute - + module procedure results_addAttribute_real module procedure results_addAttribute_int module procedure results_addAttribute_str - + module procedure results_addAttribute_int_array module procedure results_addAttribute_real_array - + end interface results_addAttribute public :: & @@ -56,27 +56,31 @@ module results results_addAttribute, & results_removeLink, & results_mapping_constituent, & - results_mapping_materialpoint + results_mapping_homogenization contains -subroutine results_init +subroutine results_init(restart) + + logical, intent(in) :: restart character(len=pStringLen) :: commandLine - write(6,'(/,a)') ' <<<+- results init -+>>>' + print'(/,a)', ' <<<+- results init -+>>>'; flush(IO_STDOUT) - write(6,'(/,a)') ' Diehl et al., Integrating Materials and Manufacturing Innovation 6(1):83–91, 2017' - write(6,'(a)') ' https://doi.org/10.1007/s40192-017-0084-5' + print*, 'Diehl et al., Integrating Materials and Manufacturing Innovation 6(1):83–91, 2017' + print*, 'https://doi.org/10.1007/s40192-017-0084-5'//IO_EOL - resultsFile = HDF5_openFile(trim(getSolverJobName())//'.hdf5','w',.true.) - call results_addAttribute('DADF5_version_major',0) - call results_addAttribute('DADF5_version_minor',6) - call results_addAttribute('DAMASK_version',DAMASKVERSION) - call get_command(commandLine) - call results_addAttribute('call',trim(commandLine)) - call results_closeGroup(results_addGroup('mapping')) - call results_closeGroup(results_addGroup('mapping/cellResults')) - call results_closeJobFile + if(.not. restart) then + resultsFile = HDF5_openFile(trim(getSolverJobName())//'.hdf5','w',.true.) + call results_addAttribute('DADF5_version_major',0) + call results_addAttribute('DADF5_version_minor',7) + call results_addAttribute('DAMASK_version',DAMASKVERSION) + call get_command(commandLine) + call results_addAttribute('call',trim(commandLine)) + call results_closeGroup(results_addGroup('mapping')) + call results_closeGroup(results_addGroup('mapping/cellResults')) + call results_closeJobFile + endif end subroutine results_init @@ -87,7 +91,7 @@ end subroutine results_init subroutine results_openJobFile resultsFile = HDF5_openFile(trim(getSolverJobName())//'.hdf5','a',.true.) - + end subroutine results_openJobFile @@ -105,7 +109,7 @@ end subroutine results_closeJobFile !> @brief creates the group of increment and adds time as attribute to the file !-------------------------------------------------------------------------------------------------- subroutine results_addIncrement(inc,time) - + integer, intent(in) :: inc real(pReal), intent(in) :: time character(len=pStringLen) :: incChar @@ -114,8 +118,14 @@ subroutine results_addIncrement(inc,time) call results_closeGroup(results_addGroup(trim('inc'//trim(adjustl(incChar))))) call results_setLink(trim('inc'//trim(adjustl(incChar))),'current') call results_addAttribute('time/s',time,trim('inc'//trim(adjustl(incChar)))) - call results_closeGroup(results_addGroup('current/constituent')) - call results_closeGroup(results_addGroup('current/materialpoint')) + call results_closeGroup(results_addGroup('current/phase')) + call results_closeGroup(results_addGroup('current/homogenization')) + + ! for backward compatibility + call results_setLink(trim('/inc'//trim(adjustl(incChar)))//'/phase',& + trim('/inc'//trim(adjustl(incChar)))//'/constituent') + call results_setLink(trim('/inc'//trim(adjustl(incChar)))//'/homogenization',& + trim('/inc'//trim(adjustl(incChar)))//'/materialpoint') end subroutine results_addIncrement @@ -137,7 +147,7 @@ end subroutine results_finalizeIncrement integer(HID_T) function results_openGroup(groupName) character(len=*), intent(in) :: groupName - + results_openGroup = HDF5_openGroup(resultsFile,groupName) end function results_openGroup @@ -149,7 +159,7 @@ end function results_openGroup integer(HID_T) function results_addGroup(groupName) character(len=*), intent(in) :: groupName - + results_addGroup = HDF5_addGroup(resultsFile,groupName) end function results_addGroup @@ -161,7 +171,7 @@ end function results_addGroup subroutine results_closeGroup(group_id) integer(HID_T), intent(in) :: group_id - + call HDF5_closeGroup(group_id) end subroutine results_closeGroup @@ -178,7 +188,6 @@ subroutine results_setLink(path,link) end subroutine results_setLink - !-------------------------------------------------------------------------------------------------- !> @brief adds a string attribute to an object in the results file !-------------------------------------------------------------------------------------------------- @@ -290,23 +299,25 @@ subroutine results_writeScalarDataset_real(group,dataset,label,description,SIuni character(len=*), intent(in) :: label,group,description character(len=*), intent(in), optional :: SIunit real(pReal), intent(inout), dimension(:) :: dataset - + integer(HID_T) :: groupHandle - + groupHandle = results_openGroup(group) - + #ifdef PETSc call HDF5_write(groupHandle,dataset,label,.true.) #else call HDF5_write(groupHandle,dataset,label,.false.) #endif - + if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Description',description,label) if (HDF5_objectExists(groupHandle,label) .and. present(SIunit)) & call HDF5_addAttribute(groupHandle,'Unit',SIunit,label) if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Creator','DAMASK '//DAMASKVERSION,label) + if (HDF5_objectExists(groupHandle,label)) & + call HDF5_addAttribute(groupHandle,'Created',now(),label) call HDF5_closeGroup(groupHandle) end subroutine results_writeScalarDataset_real @@ -319,23 +330,25 @@ subroutine results_writeVectorDataset_real(group,dataset,label,description,SIuni character(len=*), intent(in) :: label,group,description character(len=*), intent(in), optional :: SIunit real(pReal), intent(inout), dimension(:,:) :: dataset - + integer(HID_T) :: groupHandle - + groupHandle = results_openGroup(group) - + #ifdef PETSc call HDF5_write(groupHandle,dataset,label,.true.) #else call HDF5_write(groupHandle,dataset,label,.false.) #endif - + if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Description',description,label) if (HDF5_objectExists(groupHandle,label) .and. present(SIunit)) & call HDF5_addAttribute(groupHandle,'Unit',SIunit,label) if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Creator','DAMASK '//DAMASKVERSION,label) + if (HDF5_objectExists(groupHandle,label)) & + call HDF5_addAttribute(groupHandle,'Created',now(),label) call HDF5_closeGroup(groupHandle) end subroutine results_writeVectorDataset_real @@ -350,13 +363,13 @@ subroutine results_writeTensorDataset_real(group,dataset,label,description,SIuni character(len=*), intent(in), optional :: SIunit logical, intent(in), optional :: transposed real(pReal), intent(in), dimension(:,:,:) :: dataset - - integer :: i + + integer :: i logical :: transposed_ integer(HID_T) :: groupHandle real(pReal), dimension(:,:,:), allocatable :: dataset_transposed - + if(present(transposed)) then transposed_ = transposed else @@ -374,19 +387,21 @@ subroutine results_writeTensorDataset_real(group,dataset,label,description,SIuni endif groupHandle = results_openGroup(group) - + #ifdef PETSc call HDF5_write(groupHandle,dataset_transposed,label,.true.) #else call HDF5_write(groupHandle,dataset_transposed,label,.false.) #endif - + if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Description',description,label) if (HDF5_objectExists(groupHandle,label) .and. present(SIunit)) & call HDF5_addAttribute(groupHandle,'Unit',SIunit,label) if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Creator','DAMASK '//DAMASKVERSION,label) + if (HDF5_objectExists(groupHandle,label)) & + call HDF5_addAttribute(groupHandle,'Created',now(),label) call HDF5_closeGroup(groupHandle) end subroutine results_writeTensorDataset_real @@ -400,23 +415,25 @@ subroutine results_writeVectorDataset_int(group,dataset,label,description,SIunit character(len=*), intent(in) :: label,group,description character(len=*), intent(in), optional :: SIunit integer, intent(inout), dimension(:,:) :: dataset - + integer(HID_T) :: groupHandle - + groupHandle = results_openGroup(group) - + #ifdef PETSc call HDF5_write(groupHandle,dataset,label,.true.) #else call HDF5_write(groupHandle,dataset,label,.false.) #endif - + if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Description',description,label) if (HDF5_objectExists(groupHandle,label) .and. present(SIunit)) & call HDF5_addAttribute(groupHandle,'Unit',SIunit,label) if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Creator','DAMASK '//DAMASKVERSION,label) + if (HDF5_objectExists(groupHandle,label)) & + call HDF5_addAttribute(groupHandle,'Created',now(),label) call HDF5_closeGroup(groupHandle) end subroutine results_writeVectorDataset_int @@ -430,23 +447,25 @@ subroutine results_writeTensorDataset_int(group,dataset,label,description,SIunit character(len=*), intent(in) :: label,group,description character(len=*), intent(in), optional :: SIunit integer, intent(inout), dimension(:,:,:) :: dataset - + integer(HID_T) :: groupHandle - + groupHandle = results_openGroup(group) - + #ifdef PETSc call HDF5_write(groupHandle,dataset,label,.true.) #else call HDF5_write(groupHandle,dataset,label,.false.) #endif - + if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Description',description,label) if (HDF5_objectExists(groupHandle,label) .and. present(SIunit)) & call HDF5_addAttribute(groupHandle,'Unit',SIunit,label) if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Creator','DAMASK '//DAMASKVERSION,label) + if (HDF5_objectExists(groupHandle,label)) & + call HDF5_addAttribute(groupHandle,'Created',now(),label) call HDF5_closeGroup(groupHandle) end subroutine results_writeTensorDataset_int @@ -460,23 +479,25 @@ subroutine results_writeScalarDataset_rotation(group,dataset,label,description,l character(len=*), intent(in) :: label,group,description character(len=*), intent(in), optional :: lattice_structure type(rotation), intent(inout), dimension(:) :: dataset - + integer(HID_T) :: groupHandle - + groupHandle = results_openGroup(group) - + #ifdef PETSc call HDF5_write(groupHandle,dataset,label,.true.) #else call HDF5_write(groupHandle,dataset,label,.false.) #endif - + if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Description',description,label) if (HDF5_objectExists(groupHandle,label) .and. present(lattice_structure)) & call HDF5_addAttribute(groupHandle,'Lattice',lattice_structure,label) if (HDF5_objectExists(groupHandle,label)) & call HDF5_addAttribute(groupHandle,'Creator','DAMASK '//DAMASKVERSION,label) + if (HDF5_objectExists(groupHandle,label)) & + call HDF5_addAttribute(groupHandle,'Created',now(),label) call HDF5_closeGroup(groupHandle) end subroutine results_writeScalarDataset_rotation @@ -486,11 +507,11 @@ end subroutine results_writeScalarDataset_rotation !> @brief adds the unique mapping from spatial position and constituent ID to results !-------------------------------------------------------------------------------------------------- subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) - + integer, dimension(:,:), intent(in) :: phaseAt !< phase section at (constituent,element) integer, dimension(:,:,:), intent(in) :: memberAtLocal !< phase member at (constituent,IP,element) character(len=pStringLen), dimension(:), intent(in) :: label !< label of each phase section - + integer, dimension(size(memberAtLocal,1),size(memberAtLocal,2),size(memberAtLocal,3)) :: & phaseAtMaterialpoint, & memberAtGlobal @@ -500,7 +521,7 @@ subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) myShape, & !< shape of the dataset (this process) myOffset, & totalShape !< shape of the dataset (all processes) - + integer(HID_T) :: & loc_id, & !< identifier of group in file dtype_id, & !< identifier of compound data type @@ -512,30 +533,30 @@ subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) plist_id, & dt_id - + integer(SIZE_T) :: type_size_string, type_size_int integer :: ierr, i - + !--------------------------------------------------------------------------------------------------- ! compound type: name of phase section + position/index within results array call h5tcopy_f(H5T_NATIVE_CHARACTER, dt_id, ierr) call h5tset_size_f(dt_id, int(len(label(1)),SIZE_T), ierr) call h5tget_size_f(dt_id, type_size_string, ierr) - + call h5tget_size_f(H5T_NATIVE_INTEGER, type_size_int, ierr) - + call h5tcreate_f(H5T_COMPOUND_F, type_size_string + type_size_int, dtype_id, ierr) call h5tinsert_f(dtype_id, "Name", 0_SIZE_T, dt_id,ierr) call h5tinsert_f(dtype_id, "Position", type_size_string, H5T_NATIVE_INTEGER, ierr) - + !-------------------------------------------------------------------------------------------------- ! create memory types for each component of the compound type call h5tcreate_f(H5T_COMPOUND_F, type_size_string, name_id, ierr) call h5tinsert_f(name_id, "Name", 0_SIZE_T, dt_id, ierr) - + call h5tcreate_f(H5T_COMPOUND_F, type_size_int, position_id, ierr) call h5tinsert_f(position_id, "Position", 0_SIZE_T, H5T_NATIVE_INTEGER, ierr) - + call h5tclose_f(dt_id, ierr) !-------------------------------------------------------------------------------------------------- @@ -553,10 +574,10 @@ subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) #ifdef PETSc call h5pset_dxpl_mpio_f(plist_id, H5FD_MPIO_COLLECTIVE_F, ierr) if (ierr < 0) call IO_error(1,ext_msg='results_mapping_constituent: h5pset_dxpl_mpio_f') - + call MPI_allreduce(MPI_IN_PLACE,writeSize,worldsize,MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr) ! get output at each process if (ierr /= 0) call IO_error(894,ext_msg='results_mapping_constituent: MPI_allreduce/writeSize') - + call MPI_allreduce(MPI_IN_PLACE,memberOffset,size(memberOffset),MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr)! get offset at each process if (ierr /= 0) call IO_error(894,ext_msg='results_mapping_constituent: MPI_allreduce/memberOffset') #endif @@ -564,15 +585,15 @@ subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) myShape = int([size(phaseAt,1),writeSize(worldrank)], HSIZE_T) myOffset = int([0,sum(writeSize(0:worldrank-1))], HSIZE_T) totalShape = int([size(phaseAt,1),sum(writeSize)], HSIZE_T) - + !-------------------------------------------------------------------------------------------------- ! create dataspace in memory (local shape = hyperslab) and in file (global shape) call h5screate_simple_f(2,myShape,memspace_id,ierr,myShape) if (ierr < 0) call IO_error(1,ext_msg='results_mapping_constituent: h5screate_simple_f/memspace_id') - + call h5screate_simple_f(2,totalShape,filespace_id,ierr,totalShape) if (ierr < 0) call IO_error(1,ext_msg='results_mapping_constituent: h5screate_simple_f/filespace_id') - + call h5sselect_hyperslab_f(filespace_id, H5S_SELECT_SET_F, myOffset, myShape, ierr) if (ierr < 0) call IO_error(1,ext_msg='results_mapping_constituent: h5sselect_hyperslab_f') @@ -581,7 +602,7 @@ subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) do i = 1, size(phaseAtMaterialpoint,2) phaseAtMaterialpoint(:,i,:) = phaseAt enddo - + !--------------------------------------------------------------------------------------------------- ! renumber member from my process to all processes do i = 1, size(label) @@ -591,11 +612,11 @@ subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) !-------------------------------------------------------------------------------------------------- ! write the components of the compound type individually call h5pset_preserve_f(plist_id, .TRUE., ierr) - - loc_id = results_openGroup('/mapping/cellResults') - call h5dcreate_f(loc_id, 'constituent', dtype_id, filespace_id, dset_id, ierr) + + loc_id = results_openGroup('/mapping') + call h5dcreate_f(loc_id, 'phase', dtype_id, filespace_id, dset_id, ierr) if (ierr < 0) call IO_error(1,ext_msg='results_mapping_constituent: h5dcreate_f') - + call h5dwrite_f(dset_id, name_id, reshape(label(pack(phaseAtMaterialpoint,.true.)),myShape), & myShape, ierr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id) if (ierr < 0) call IO_error(1,ext_msg='results_mapping_constituent: h5dwrite_f/name_id') @@ -614,18 +635,21 @@ subroutine results_mapping_constituent(phaseAt,memberAtLocal,label) call h5tclose_f(name_id, ierr) call h5tclose_f(position_id, ierr) + ! for backward compatibility + call results_setLink('/mapping/phase','/mapping/cellResults/constituent') + end subroutine results_mapping_constituent !-------------------------------------------------------------------------------------------------- !> @brief adds the unique mapping from spatial position and constituent ID to results !-------------------------------------------------------------------------------------------------- -subroutine results_mapping_materialpoint(homogenizationAt,memberAtLocal,label) - +subroutine results_mapping_homogenization(homogenizationAt,memberAtLocal,label) + integer, dimension(:), intent(in) :: homogenizationAt !< homogenization section at (element) integer, dimension(:,:), intent(in) :: memberAtLocal !< homogenization member at (IP,element) character(len=pStringLen), dimension(:), intent(in) :: label !< label of each homogenization section - + integer, dimension(size(memberAtLocal,1),size(memberAtLocal,2)) :: & homogenizationAtMaterialpoint, & memberAtGlobal @@ -635,7 +659,7 @@ subroutine results_mapping_materialpoint(homogenizationAt,memberAtLocal,label) myShape, & !< shape of the dataset (this process) myOffset, & totalShape !< shape of the dataset (all processes) - + integer(HID_T) :: & loc_id, & !< identifier of group in file dtype_id, & !< identifier of compound data type @@ -647,30 +671,30 @@ subroutine results_mapping_materialpoint(homogenizationAt,memberAtLocal,label) plist_id, & dt_id - + integer(SIZE_T) :: type_size_string, type_size_int integer :: ierr, i - + !--------------------------------------------------------------------------------------------------- ! compound type: name of phase section + position/index within results array call h5tcopy_f(H5T_NATIVE_CHARACTER, dt_id, ierr) call h5tset_size_f(dt_id, int(len(label(1)),SIZE_T), ierr) call h5tget_size_f(dt_id, type_size_string, ierr) - + call h5tget_size_f(H5T_NATIVE_INTEGER, type_size_int, ierr) - + call h5tcreate_f(H5T_COMPOUND_F, type_size_string + type_size_int, dtype_id, ierr) call h5tinsert_f(dtype_id, "Name", 0_SIZE_T, dt_id,ierr) call h5tinsert_f(dtype_id, "Position", type_size_string, H5T_NATIVE_INTEGER, ierr) - + !-------------------------------------------------------------------------------------------------- ! create memory types for each component of the compound type call h5tcreate_f(H5T_COMPOUND_F, type_size_string, name_id, ierr) call h5tinsert_f(name_id, "Name", 0_SIZE_T, dt_id, ierr) - + call h5tcreate_f(H5T_COMPOUND_F, type_size_int, position_id, ierr) call h5tinsert_f(position_id, "Position", 0_SIZE_T, H5T_NATIVE_INTEGER, ierr) - + call h5tclose_f(dt_id, ierr) !-------------------------------------------------------------------------------------------------- @@ -687,36 +711,36 @@ subroutine results_mapping_materialpoint(homogenizationAt,memberAtLocal,label) ! MPI settings and communication #ifdef PETSc call h5pset_dxpl_mpio_f(plist_id, H5FD_MPIO_COLLECTIVE_F, ierr) - if (ierr < 0) call IO_error(1,ext_msg='results_mapping_materialpoint: h5pset_dxpl_mpio_f') - + if (ierr < 0) call IO_error(1,ext_msg='results_mapping_homogenization: h5pset_dxpl_mpio_f') + call MPI_allreduce(MPI_IN_PLACE,writeSize,worldsize,MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr) ! get output at each process - if (ierr /= 0) call IO_error(894,ext_msg='results_mapping_materialpoint: MPI_allreduce/writeSize') - + if (ierr /= 0) call IO_error(894,ext_msg='results_mapping_homogenization: MPI_allreduce/writeSize') + call MPI_allreduce(MPI_IN_PLACE,memberOffset,size(memberOffset),MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr)! get offset at each process - if (ierr /= 0) call IO_error(894,ext_msg='results_mapping_materialpoint: MPI_allreduce/memberOffset') + if (ierr /= 0) call IO_error(894,ext_msg='results_mapping_homogenization: MPI_allreduce/memberOffset') #endif myShape = int([writeSize(worldrank)], HSIZE_T) myOffset = int([sum(writeSize(0:worldrank-1))], HSIZE_T) totalShape = int([sum(writeSize)], HSIZE_T) - + !-------------------------------------------------------------------------------------------------- ! create dataspace in memory (local shape = hyperslab) and in file (global shape) call h5screate_simple_f(1,myShape,memspace_id,ierr,myShape) - if (ierr < 0) call IO_error(1,ext_msg='results_mapping_materialpoint: h5screate_simple_f/memspace_id') - + if (ierr < 0) call IO_error(1,ext_msg='results_mapping_homogenization: h5screate_simple_f/memspace_id') + call h5screate_simple_f(1,totalShape,filespace_id,ierr,totalShape) - if (ierr < 0) call IO_error(1,ext_msg='results_mapping_materialpoint: h5screate_simple_f/filespace_id') - + if (ierr < 0) call IO_error(1,ext_msg='results_mapping_homogenization: h5screate_simple_f/filespace_id') + call h5sselect_hyperslab_f(filespace_id, H5S_SELECT_SET_F, myOffset, myShape, ierr) - if (ierr < 0) call IO_error(1,ext_msg='results_mapping_materialpoint: h5sselect_hyperslab_f') + if (ierr < 0) call IO_error(1,ext_msg='results_mapping_homogenization: h5sselect_hyperslab_f') !--------------------------------------------------------------------------------------------------- ! expand phaseAt to consider IPs (is not stored per IP) do i = 1, size(homogenizationAtMaterialpoint,1) homogenizationAtMaterialpoint(i,:) = homogenizationAt enddo - + !--------------------------------------------------------------------------------------------------- ! renumber member from my process to all processes do i = 1, size(label) @@ -726,17 +750,17 @@ subroutine results_mapping_materialpoint(homogenizationAt,memberAtLocal,label) !-------------------------------------------------------------------------------------------------- ! write the components of the compound type individually call h5pset_preserve_f(plist_id, .TRUE., ierr) - - loc_id = results_openGroup('/mapping/cellResults') - call h5dcreate_f(loc_id, 'materialpoint', dtype_id, filespace_id, dset_id, ierr) - if (ierr < 0) call IO_error(1,ext_msg='results_mapping_materialpoint: h5dcreate_f') - + + loc_id = results_openGroup('/mapping') + call h5dcreate_f(loc_id, 'homogenization', dtype_id, filespace_id, dset_id, ierr) + if (ierr < 0) call IO_error(1,ext_msg='results_mapping_homogenization: h5dcreate_f') + call h5dwrite_f(dset_id, name_id, reshape(label(pack(homogenizationAtMaterialpoint,.true.)),myShape), & myShape, ierr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id) - if (ierr < 0) call IO_error(1,ext_msg='results_mapping_materialpoint: h5dwrite_f/name_id') + if (ierr < 0) call IO_error(1,ext_msg='results_mapping_homogenization: h5dwrite_f/name_id') call h5dwrite_f(dset_id, position_id, reshape(pack(memberAtGlobal,.true.),myShape), & myShape, ierr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id) - if (ierr < 0) call IO_error(1,ext_msg='results_mapping_materialpoint: h5dwrite_f/position_id') + if (ierr < 0) call IO_error(1,ext_msg='results_mapping_homogenization: h5dwrite_f/position_id') !-------------------------------------------------------------------------------------------------- ! close all @@ -749,7 +773,25 @@ subroutine results_mapping_materialpoint(homogenizationAt,memberAtLocal,label) call h5tclose_f(name_id, ierr) call h5tclose_f(position_id, ierr) -end subroutine results_mapping_materialpoint + ! for backward compatibility + call results_setLink('/mapping/homogenization','/mapping/cellResults/materialpoint') + +end subroutine results_mapping_homogenization + + +!-------------------------------------------------------------------------------------------------- +!> @brief current date and time (including time zone information) +!-------------------------------------------------------------------------------------------------- +character(len=24) function now() + + character(len=5) :: zone + integer, dimension(8) :: values + + call date_and_time(values=values,zone=zone) + write(now,'(i4.4,5(a,i2.2),a)') & + values(1),'-',values(2),'-',values(3),' ',values(5),':',values(6),':',values(7),zone + +end function now !!-------------------------------------------------------------------------------------------------- diff --git a/src/rotations.f90 b/src/rotations.f90 index fea642170..ea4a8a9d8 100644 --- a/src/rotations.f90 +++ b/src/rotations.f90 @@ -34,7 +34,7 @@ !> @details: rotation is internally stored as quaternion. It can be inialized from different !> representations and also returns itself in different representations. ! -! All methods and naming conventions based on Rowenhorst_etal2015 +! All methods and naming conventions based on Rowenhorst et al. 2015 ! Convention 1: coordinate frames are right-handed ! Convention 2: a rotation angle ω is taken to be positive for a counterclockwise rotation ! when viewing from the end point of the rotation axis towards the origin @@ -56,7 +56,7 @@ module rotations private type, public :: rotation - type(quaternion), private :: q + type(quaternion) :: q contains procedure, public :: asQuaternion procedure, public :: asEulers @@ -99,13 +99,17 @@ module rotations contains !-------------------------------------------------------------------------------------------------- -!> @brief doing self test +!> @brief Do self test. !-------------------------------------------------------------------------------------------------- subroutine rotations_init call quaternions_init - write(6,'(/,a)') ' <<<+- rotations init -+>>>'; flush(6) - call unitTest + print'(/,a)', ' <<<+- rotations init -+>>>'; flush(IO_STDOUT) + + print*, 'Rowenhorst et al., Modelling and Simulation in Materials Science and Engineering 23:083501, 2015' + print*, 'https://doi.org/10.1088/0965-0393/23/8/083501' + + call selfTest end subroutine rotations_init @@ -562,7 +566,26 @@ pure function om2qu(om) result(qu) real(pReal), intent(in), dimension(3,3) :: om real(pReal), dimension(4) :: qu - qu = eu2qu(om2eu(om)) + real(pReal) :: trace,s + trace = math_trace33(om) + + if(trace > 0.0_pReal) then + s = 0.5_pReal / sqrt(trace+1.0_pReal) + qu = [0.25_pReal/s, (om(3,2)-om(2,3))*s,(om(1,3)-om(3,1))*s,(om(2,1)-om(1,2))*s] + else + if( om(1,1) > om(2,2) .and. om(1,1) > om(3,3) ) then + s = 2.0_pReal * sqrt( 1.0_pReal + om(1,1) - om(2,2) - om(3,3)) + qu = [ (om(3,2) - om(2,3)) /s,0.25_pReal * s,(om(1,2) + om(2,1)) / s,(om(1,3) + om(3,1)) / s] + elseif (om(2,2) > om(3,3)) then + s = 2.0_pReal * sqrt( 1.0_pReal + om(2,2) - om(1,1) - om(3,3)) + qu = [ (om(1,3) - om(3,1)) /s,(om(1,2) + om(2,1)) / s,0.25_pReal * s,(om(2,3) + om(3,2)) / s] + else + s = 2.0_pReal * sqrt( 1.0_pReal + om(3,3) - om(1,1) - om(2,2) ) + qu = [ (om(2,1) - om(1,2)) /s,(om(1,3) + om(3,1)) / s,(om(2,3) + om(3,2)) / s,0.25_pReal * s] + endif + endif + if(qu(1)<0._pReal) qu =-1.0_pReal * qu + qu = qu*[1.0_pReal,P,P,P] end function om2qu @@ -570,6 +593,7 @@ end function om2qu !--------------------------------------------------------------------------------------------------- !> @author Marc De Graef, Carnegie Mellon University !> @brief orientation matrix to Euler angles +!> @details Two step check for special cases to avoid invalid operations (not needed for python) !--------------------------------------------------------------------------------------------------- pure function om2eu(om) result(eu) @@ -577,16 +601,16 @@ pure function om2eu(om) result(eu) real(pReal), dimension(3) :: eu real(pReal) :: zeta - if (abs(om(3,3)) < 1.0_pReal) then - zeta = 1.0_pReal/sqrt(1.0_pReal-om(3,3)**2.0_pReal) + if (dNeq(abs(om(3,3)),1.0_pReal,1.e-8_pReal)) then + zeta = 1.0_pReal/sqrt(math_clip(1.0_pReal-om(3,3)**2.0_pReal,1e-64_pReal,1.0_pReal)) eu = [atan2(om(3,1)*zeta,-om(3,2)*zeta), & - acos(om(3,3)), & + acos(math_clip(om(3,3),-1.0_pReal,1.0_pReal)), & atan2(om(1,3)*zeta, om(2,3)*zeta)] else eu = [atan2(om(1,2),om(1,1)), 0.5_pReal*PI*(1.0_pReal-om(3,3)),0.0_pReal ] end if - - where(eu<0.0_pReal) eu = mod(eu+2.0_pReal*PI,[2.0_pReal*PI,PI,2.0_pReal*PI]) + where(abs(eu) < 1.e-8_pReal) eu = 0.0_pReal + where(eu<0.0_pReal) eu = mod(eu+2.0_pReal*PI,[2.0_pReal*PI,PI,2.0_pReal*PI]) end function om2eu @@ -713,16 +737,16 @@ pure function eu2om(eu) result(om) s = sin(eu) om(1,1) = c(1)*c(3)-s(1)*s(3)*c(2) - om(1,2) = s(1)*c(3)+c(1)*s(3)*c(2) - om(1,3) = s(3)*s(2) om(2,1) = -c(1)*s(3)-s(1)*c(3)*c(2) - om(2,2) = -s(1)*s(3)+c(1)*c(3)*c(2) - om(2,3) = c(3)*s(2) om(3,1) = s(1)*s(2) + om(1,2) = s(1)*c(3)+c(1)*s(3)*c(2) + om(2,2) = -s(1)*s(3)+c(1)*c(3)*c(2) om(3,2) = -c(1)*s(2) + om(1,3) = s(3)*s(2) + om(2,3) = c(3)*s(2) om(3,3) = c(2) - where(dEq0(om)) om = 0.0_pReal + where(abs(om)<1.0e-12_pReal) om = 0.0_pReal end function eu2om @@ -1340,21 +1364,18 @@ end function GetPyramidOrder !-------------------------------------------------------------------------------------------------- !> @brief check correctness of some rotations functions !-------------------------------------------------------------------------------------------------- -subroutine unitTest +subroutine selfTest type(rotation) :: R real(pReal), dimension(4) :: qu, ax, ro real(pReal), dimension(3) :: x, eu, ho, v3 real(pReal), dimension(3,3) :: om, t33 real(pReal), dimension(3,3,3,3) :: t3333 - character(len=pStringLen) :: msg real :: A,B integer :: i do i=1,10 - msg = '' - #if defined(__GFORTRAN__) && __GNUC__<9 if(i<7) cycle #endif @@ -1381,69 +1402,68 @@ subroutine unitTest sin(2.0_pReal*PI*x(1))*A] if(qu(1)<0.0_pReal) qu = qu * (-1.0_pReal) endif -#ifndef __PGI - if(dNeq0(norm2(om2qu(qu2om(qu))-qu),1.0e-12_pReal)) msg = trim(msg)//'om2qu/qu2om,' - if(dNeq0(norm2(eu2qu(qu2eu(qu))-qu),1.0e-12_pReal)) msg = trim(msg)//'eu2qu/qu2eu,' - if(dNeq0(norm2(ax2qu(qu2ax(qu))-qu),1.0e-12_pReal)) msg = trim(msg)//'ax2qu/qu2ax,' - if(dNeq0(norm2(ro2qu(qu2ro(qu))-qu),1.0e-12_pReal)) msg = trim(msg)//'ro2qu/qu2ro,' - if(dNeq0(norm2(ho2qu(qu2ho(qu))-qu),1.0e-7_pReal)) msg = trim(msg)//'ho2qu/qu2ho,' - if(dNeq0(norm2(cu2qu(qu2cu(qu))-qu),1.0e-7_pReal)) msg = trim(msg)//'cu2qu/qu2cu,' -#endif + if(.not. quaternion_equal(om2qu(qu2om(qu)),qu)) error stop 'om2qu/qu2om' + if(.not. quaternion_equal(eu2qu(qu2eu(qu)),qu)) error stop 'eu2qu/qu2eu' + if(.not. quaternion_equal(ax2qu(qu2ax(qu)),qu)) error stop 'ax2qu/qu2ax' + if(.not. quaternion_equal(ro2qu(qu2ro(qu)),qu)) error stop 'ro2qu/qu2ro' + if(.not. quaternion_equal(ho2qu(qu2ho(qu)),qu)) error stop 'ho2qu/qu2ho' + if(.not. quaternion_equal(cu2qu(qu2cu(qu)),qu)) error stop 'cu2qu/qu2cu' om = qu2om(qu) -#ifndef __PGI - if(dNeq0(norm2(om2qu(eu2om(om2eu(om)))-qu),1.0e-7_pReal)) msg = trim(msg)//'eu2om/om2eu,' - if(dNeq0(norm2(om2qu(ax2om(om2ax(om)))-qu),1.0e-7_pReal)) msg = trim(msg)//'ax2om/om2ax,' - if(dNeq0(norm2(om2qu(ro2om(om2ro(om)))-qu),1.0e-12_pReal)) msg = trim(msg)//'ro2om/om2ro,' - if(dNeq0(norm2(om2qu(ho2om(om2ho(om)))-qu),1.0e-7_pReal)) msg = trim(msg)//'ho2om/om2ho,' - if(dNeq0(norm2(om2qu(cu2om(om2cu(om)))-qu),1.0e-7_pReal)) msg = trim(msg)//'cu2om/om2cu,' -#endif + if(.not. quaternion_equal(om2qu(eu2om(om2eu(om))),qu)) error stop 'eu2om/om2eu' + if(.not. quaternion_equal(om2qu(ax2om(om2ax(om))),qu)) error stop 'ax2om/om2ax' + if(.not. quaternion_equal(om2qu(ro2om(om2ro(om))),qu)) error stop 'ro2om/om2ro' + if(.not. quaternion_equal(om2qu(ho2om(om2ho(om))),qu)) error stop 'ho2om/om2ho' + if(.not. quaternion_equal(om2qu(cu2om(om2cu(om))),qu)) error stop 'cu2om/om2cu' eu = qu2eu(qu) -#ifndef __PGI - if(dNeq0(norm2(eu2qu(ax2eu(eu2ax(eu)))-qu),1.0e-12_pReal)) msg = trim(msg)//'ax2eu/eu2ax,' - if(dNeq0(norm2(eu2qu(ro2eu(eu2ro(eu)))-qu),1.0e-12_pReal)) msg = trim(msg)//'ro2eu/eu2ro,' - if(dNeq0(norm2(eu2qu(ho2eu(eu2ho(eu)))-qu),1.0e-7_pReal)) msg = trim(msg)//'ho2eu/eu2ho,' - if(dNeq0(norm2(eu2qu(cu2eu(eu2cu(eu)))-qu),1.0e-7_pReal)) msg = trim(msg)//'cu2eu/eu2cu,' -#endif + if(.not. quaternion_equal(eu2qu(ax2eu(eu2ax(eu))),qu)) error stop 'ax2eu/eu2ax' + if(.not. quaternion_equal(eu2qu(ro2eu(eu2ro(eu))),qu)) error stop 'ro2eu/eu2ro' + if(.not. quaternion_equal(eu2qu(ho2eu(eu2ho(eu))),qu)) error stop 'ho2eu/eu2ho' + if(.not. quaternion_equal(eu2qu(cu2eu(eu2cu(eu))),qu)) error stop 'cu2eu/eu2cu' ax = qu2ax(qu) -#ifndef __PGI - if(dNeq0(norm2(ax2qu(ro2ax(ax2ro(ax)))-qu),1.0e-12_pReal)) msg = trim(msg)//'ro2ax/ax2ro,' - if(dNeq0(norm2(ax2qu(ho2ax(ax2ho(ax)))-qu),1.0e-7_pReal)) msg = trim(msg)//'ho2ax/ax2ho,' - if(dNeq0(norm2(ax2qu(cu2ax(ax2cu(ax)))-qu),1.0e-7_pReal)) msg = trim(msg)//'cu2ax/ax2cu,' -#endif + if(.not. quaternion_equal(ax2qu(ro2ax(ax2ro(ax))),qu)) error stop 'ro2ax/ax2ro' + if(.not. quaternion_equal(ax2qu(ho2ax(ax2ho(ax))),qu)) error stop 'ho2ax/ax2ho' + if(.not. quaternion_equal(ax2qu(cu2ax(ax2cu(ax))),qu)) error stop 'cu2ax/ax2cu' ro = qu2ro(qu) -#ifndef __PGI - if(dNeq0(norm2(ro2qu(ho2ro(ro2ho(ro)))-qu),1.0e-7_pReal)) msg = trim(msg)//'ho2ro/ro2ho,' - if(dNeq0(norm2(ro2qu(cu2ro(ro2cu(ro)))-qu),1.0e-7_pReal)) msg = trim(msg)//'cu2ro/ro2cu,' -#endif + if(.not. quaternion_equal(ro2qu(ho2ro(ro2ho(ro))),qu)) error stop 'ho2ro/ro2ho' + if(.not. quaternion_equal(ro2qu(cu2ro(ro2cu(ro))),qu)) error stop 'cu2ro/ro2cu' ho = qu2ho(qu) -#ifndef __PGI - if(dNeq0(norm2(ho2qu(cu2ho(ho2cu(ho)))-qu),1.0e-7_pReal)) msg = trim(msg)//'cu2ho/ho2cu,' -#endif + if(.not. quaternion_equal(ho2qu(cu2ho(ho2cu(ho))),qu)) error stop 'cu2ho/ho2cu' call R%fromMatrix(om) call random_number(v3) if(all(dNeq(R%rotVector(R%rotVector(v3),active=.true.),v3,1.0e-12_pReal))) & - msg = trim(msg)//'rotVector,' + error stop 'rotVector' call random_number(t33) if(all(dNeq(R%rotTensor2(R%rotTensor2(t33),active=.true.),t33,1.0e-12_pReal))) & - msg = trim(msg)//'rotTensor2,' + error stop 'rotTensor2' call random_number(t3333) if(all(dNeq(R%rotTensor4(R%rotTensor4(t3333),active=.true.),t3333,1.0e-12_pReal))) & - msg = trim(msg)//'rotTensor4,' - - if(len_trim(msg) /= 0) call IO_error(0,ext_msg=msg) + error stop 'rotTensor4' enddo -end subroutine unitTest + contains + + pure recursive function quaternion_equal(qu1,qu2) result(ok) + + real(pReal), intent(in), dimension(4) :: qu1,qu2 + logical :: ok + + ok = all(dEq(qu1,qu2,1.0e-7_pReal)) + if(dEq0(qu1(1),1.0e-12_pReal)) & + ok = ok .or. all(dEq(-1.0_pReal*qu1,qu2,1.0e-7_pReal)) + + end function quaternion_equal + +end subroutine selfTest end module rotations diff --git a/src/source_damage_anisoBrittle.f90 b/src/source_damage_anisoBrittle.f90 index b3af24f38..ca8d6ec2b 100644 --- a/src/source_damage_anisoBrittle.f90 +++ b/src/source_damage_anisoBrittle.f90 @@ -4,19 +4,7 @@ !> @brief material subroutine incorporating anisotropic brittle damage source mechanism !> @details to be done !-------------------------------------------------------------------------------------------------- -module source_damage_anisoBrittle - use prec - use debug - use IO - use math - use discretization - use material - use config - use lattice - use results - - implicit none - private +submodule (constitutive:constitutive_damage) source_damage_anisoBrittle integer, dimension(:), allocatable :: & source_damage_anisoBrittle_offset, & !< which source is my current source mechanism? @@ -24,28 +12,22 @@ module source_damage_anisoBrittle type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - sdot_0, & - n + dot_o, & !< opening rate of cleavage planes + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critDisp, & - critLoad + s_crit, & !< critical displacement + g_crit !< critical load real(pReal), dimension(:,:,:,:), allocatable :: & cleavage_systems integer :: & - sum_N_cl + sum_N_cl !< total number of cleavage planes character(len=pStringLen), allocatable, dimension(:) :: & output end type tParameters - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) - public :: & - source_damage_anisoBrittle_init, & - source_damage_anisoBrittle_dotState, & - source_damage_anisobrittle_getRateAndItsTangent, & - source_damage_anisoBrittle_results - contains @@ -53,79 +35,92 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisoBrittle_init +module function source_damage_anisoBrittle_init(source_length) result(mySources) - integer :: Ninstance,sourceOffset,NipcMyPhase,p + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + + class(tNode), pointer :: & + phases, & + phase, & + sources, & + src + integer :: Ninstances,sourceOffset,Nconstituents,p integer, dimension(:), allocatable :: N_cl character(len=pStringLen) :: extmsg = '' - write(6,'(/,a)') ' <<<+- source_'//SOURCE_DAMAGE_ANISOBRITTLE_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- source_damage_anisoBrittle init -+>>>' - Ninstance = count(phase_source == SOURCE_DAMAGE_ANISOBRITTLE_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + mySources = source_active('damage_anisoBrittle',source_length) + Ninstances = count(mySources) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - allocate(source_damage_anisoBrittle_offset (size(config_phase)), source=0) - allocate(source_damage_anisoBrittle_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(source_damage_anisoBrittle_offset (phases%length), source=0) + allocate(source_damage_anisoBrittle_instance(phases%length), source=0) - do p = 1, size(config_phase) - source_damage_anisoBrittle_instance(p) = count(phase_source(:,1:p) == SOURCE_DAMAGE_ANISOBRITTLE_ID) - do sourceOffset = 1, phase_Nsources(p) - if (phase_source(sourceOffset,p) == SOURCE_DAMAGE_ANISOBRITTLE_ID) then + do p = 1, phases%length + phase => phases%get(p) + if(any(mySources(:,p))) source_damage_anisoBrittle_instance(p) = count(mySources(:,1:p)) + if(count(mySources(:,p)) == 0) cycle + sources => phase%get('source') + do sourceOffset = 1, sources%length + if(mySources(sourceOffset,p)) then source_damage_anisoBrittle_offset(p) = sourceOffset - exit - endif - enddo + associate(prm => param(source_damage_anisoBrittle_instance(p))) + src => sources%get(sourceOffset) + + N_cl = src%get_asInts('N_cl',defaultVal=emptyIntArray) + prm%sum_N_cl = sum(abs(N_cl)) + + prm%q = src%get_asFloat('q') + prm%dot_o = src%get_asFloat('dot_o') + + prm%s_crit = src%get_asFloats('s_crit', requiredSize=size(N_cl)) + prm%g_crit = src%get_asFloats('g_crit', requiredSize=size(N_cl)) + + prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,phase%get_asString('lattice'),& + phase%get_asFloat('c/a',defaultVal=0.0_pReal)) + + ! expand: family => system + prm%s_crit = math_expand(prm%s_crit,N_cl) + prm%g_crit = math_expand(prm%g_crit,N_cl) - if (all(phase_source(:,p) /= SOURCE_DAMAGE_ANISOBRITTLE_ID)) cycle - associate(prm => param(source_damage_anisoBrittle_instance(p)), & - config => config_phase(p)) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(src) +#else + prm%output = src%get_asStrings('output',defaultVal=emptyStringArray) +#endif + + ! sanity checks + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (prm%dot_o <= 0.0_pReal) extmsg = trim(extmsg)//' dot_o' + if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' + if (any(prm%s_crit < 0.0_pReal)) extmsg = trim(extmsg)//' s_crit' - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) + Nconstituents = count(material_phaseAt==p) * discretization_nIPs + call constitutive_allocateState(sourceState(p)%p(sourceOffset),Nconstituents,1,1,0) + sourceState(p)%p(sourceOffset)%atol = src%get_asFloat('anisobrittle_atol',defaultVal=1.0e-3_pReal) + if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_atol' - N_cl = config%getInts('ncleavage',defaultVal=emptyIntArray) - prm%sum_N_cl = sum(abs(N_cl)) - - prm%n = config%getFloat('anisobrittle_ratesensitivity') - prm%sdot_0 = config%getFloat('anisobrittle_sdot0') - - prm%critDisp = config%getFloats('anisobrittle_criticaldisplacement',requiredSize=size(N_cl)) - prm%critLoad = config%getFloats('anisobrittle_criticalload', requiredSize=size(N_cl)) - - prm%cleavage_systems = lattice_SchmidMatrix_cleavage(N_cl,config%getString('lattice_structure'),& - config%getFloat('c/a',defaultVal=0.0_pReal)) - - ! expand: family => system - prm%critDisp = math_expand(prm%critDisp,N_cl) - prm%critLoad = math_expand(prm%critLoad,N_cl) - - ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisobrittle_n' - if (prm%sdot_0 <= 0.0_pReal) extmsg = trim(extmsg)//' anisobrittle_sdot0' - if (any(prm%critLoad < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_critLoad' - if (any(prm%critDisp < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_critDisp' - - NipcMyPhase = count(material_phaseAt==p) * discretization_nIP - call material_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) - sourceState(p)%p(sourceOffset)%atol = config%getFloat('anisobrittle_atol',defaultVal=1.0e-3_pReal) - if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_atol' - - end associate + end associate !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//SOURCE_DAMAGE_ANISOBRITTLE_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(damage_anisoBrittle)') + endif + enddo + enddo -enddo - -end subroutine source_damage_anisoBrittle_init +end function source_damage_anisoBrittle_init !-------------------------------------------------------------------------------------------------- !> @brief calculates derived quantities from state !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisoBrittle_dotState(S, ipc, ip, el) +module subroutine source_damage_anisoBrittle_dotState(S, ipc, ip, el) integer, intent(in) :: & ipc, & !< component-ID of integration point @@ -157,14 +152,14 @@ subroutine source_damage_anisoBrittle_dotState(S, ipc, ip, el) traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i)) traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i)) - traction_crit = prm%critLoad(i)*damage(homog)%p(damageOffset)**2.0_pReal + traction_crit = prm%g_crit(i)*damage(homog)%p(damageOffset)**2.0_pReal sourceState(phase)%p(sourceOffset)%dotState(1,constituent) & = sourceState(phase)%p(sourceOffset)%dotState(1,constituent) & - + prm%sdot_0 / prm%critDisp(i) & - * ((max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**prm%n + & - (max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**prm%n + & - (max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**prm%n) + + prm%dot_o / prm%s_crit(i) & + * ((max(0.0_pReal, abs(traction_d) - traction_crit)/traction_crit)**prm%q + & + (max(0.0_pReal, abs(traction_t) - traction_crit)/traction_crit)**prm%q + & + (max(0.0_pReal, abs(traction_n) - traction_crit)/traction_crit)**prm%q) enddo end associate @@ -174,7 +169,7 @@ end subroutine source_damage_anisoBrittle_dotState !-------------------------------------------------------------------------------------------------- !> @brief returns local part of nonlocal damage driving force !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) +module subroutine source_damage_anisobrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) integer, intent(in) :: & phase, & @@ -201,7 +196,7 @@ end subroutine source_damage_anisoBrittle_getRateAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief writes results to HDF5 output file !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisoBrittle_results(phase,group) +module subroutine source_damage_anisoBrittle_results(phase,group) integer, intent(in) :: phase character(len=*), intent(in) :: group @@ -212,12 +207,12 @@ subroutine source_damage_anisoBrittle_results(phase,group) stt => sourceState(phase)%p(source_damage_anisoBrittle_offset(phase))%state) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case ('anisobrittle_drivingforce') - call results_writeDataset(group,stt,'tbd','driving force','tbd') + case ('f_phi') + call results_writeDataset(group,stt,trim(prm%output(o)),'driving force','J/m³') end select enddo outputsLoop end associate end subroutine source_damage_anisoBrittle_results -end module source_damage_anisoBrittle +end submodule source_damage_anisoBrittle diff --git a/src/source_damage_anisoDuctile.f90 b/src/source_damage_anisoDuctile.f90 index 79cc0c2f7..2fdd46bb4 100644 --- a/src/source_damage_anisoDuctile.f90 +++ b/src/source_damage_anisoDuctile.f90 @@ -4,40 +4,22 @@ !> @brief material subroutine incorporating anisotropic ductile damage source mechanism !> @details to be done !-------------------------------------------------------------------------------------------------- -module source_damage_anisoDuctile - use prec - use debug - use IO - use math - use discretization - use material - use config - use results - - implicit none - private +submodule(constitutive:constitutive_damage) source_damage_anisoDuctile integer, dimension(:), allocatable :: & source_damage_anisoDuctile_offset, & !< which source is my current damage mechanism? source_damage_anisoDuctile_instance !< instance of damage source mechanism - type, private :: tParameters !< container type for internal constitutive parameters + type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - n + q !< damage rate sensitivity real(pReal), dimension(:), allocatable :: & - critPlasticStrain + gamma_crit !< critical plastic strain per slip system character(len=pStringLen), allocatable, dimension(:) :: & output end type tParameters - type(tParameters), dimension(:), allocatable, private :: param !< containers of constitutive parameters (len Ninstance) - - - public :: & - source_damage_anisoDuctile_init, & - source_damage_anisoDuctile_dotState, & - source_damage_anisoDuctile_getRateAndItsTangent, & - source_damage_anisoDuctile_results + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) contains @@ -46,68 +28,84 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisoDuctile_init +module function source_damage_anisoDuctile_init(source_length) result(mySources) - integer :: Ninstance,sourceOffset,NipcMyPhase,p + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + + class(tNode), pointer :: & + phases, & + phase, & + pl, & + sources, & + src + integer :: Ninstances,sourceOffset,Nconstituents,p integer, dimension(:), allocatable :: N_sl character(len=pStringLen) :: extmsg = '' - write(6,'(/,a)') ' <<<+- source_'//SOURCE_DAMAGE_ANISODUCTILE_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- source_damage_anisoDuctile init -+>>>' - Ninstance = count(phase_source == SOURCE_DAMAGE_ANISODUCTILE_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + mySources = source_active('damage_anisoDuctile',source_length) + Ninstances = count(mySources) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - allocate(source_damage_anisoDuctile_offset (size(config_phase)), source=0) - allocate(source_damage_anisoDuctile_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(source_damage_anisoDuctile_offset (phases%length), source=0) + allocate(source_damage_anisoDuctile_instance(phases%length), source=0) - do p = 1, size(config_phase) - source_damage_anisoDuctile_instance(p) = count(phase_source(:,1:p) == SOURCE_DAMAGE_ANISODUCTILE_ID) - do sourceOffset = 1, phase_Nsources(p) - if (phase_source(sourceOffset,p) == SOURCE_DAMAGE_ANISODUCTILE_ID) then + do p = 1, phases%length + phase => phases%get(p) + if(any(mySources(:,p))) source_damage_anisoDuctile_instance(p) = count(mySources(:,1:p)) + if(count(mySources(:,p)) == 0) cycle + sources => phase%get('source') + pl => phase%get('plasticity') + do sourceOffset = 1, sources%length + if(mySources(sourceOffset,p)) then source_damage_anisoDuctile_offset(p) = sourceOffset - exit - endif - enddo + associate(prm => param(source_damage_anisoDuctile_instance(p))) + src => sources%get(sourceOffset) - if (all(phase_source(:,p) /= SOURCE_DAMAGE_ANISODUCTILE_ID)) cycle - associate(prm => param(source_damage_anisoDuctile_instance(p)), & - config => config_phase(p)) + N_sl = pl%get_asInts('N_sl',defaultVal=emptyIntArray) + prm%q = src%get_asFloat('q') + prm%gamma_crit = src%get_asFloats('gamma_crit',requiredSize=size(N_sl)) - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) + ! expand: family => system + prm%gamma_crit = math_expand(prm%gamma_crit,N_sl) - N_sl = config%getInts('nslip',defaultVal=emptyIntArray) - prm%n = config%getFloat('anisoductile_ratesensitivity') - prm%critPlasticStrain = config%getFloats('anisoductile_criticalplasticstrain',requiredSize=size(N_sl)) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(src) +#else + prm%output = src%get_asStrings('output',defaultVal=emptyStringArray) +#endif + + ! sanity checks + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (any(prm%gamma_crit < 0.0_pReal)) extmsg = trim(extmsg)//' gamma_crit' - ! expand: family => system - prm%critPlasticStrain = math_expand(prm%critPlasticStrain,N_sl) + Nconstituents=count(material_phaseAt==p) * discretization_nIPs + call constitutive_allocateState(sourceState(p)%p(sourceOffset),Nconstituents,1,1,0) + sourceState(p)%p(sourceOffset)%atol = src%get_asFloat('anisoDuctile_atol',defaultVal=1.0e-3_pReal) + if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisoductile_atol' - ! sanity checks - if (prm%n <= 0.0_pReal) extmsg = trim(extmsg)//' anisoductile_ratesensitivity' - if (any(prm%critPlasticStrain < 0.0_pReal)) extmsg = trim(extmsg)//' anisoductile_criticalplasticstrain' - - NipcMyPhase=count(material_phaseAt==p) * discretization_nIP - call material_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) - sourceState(p)%p(sourceOffset)%atol = config%getFloat('anisoductile_atol',defaultVal=1.0e-3_pReal) - if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisoductile_atol' - - end associate + end associate !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//SOURCE_DAMAGE_ANISODUCTILE_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(damage_anisoDuctile)') + endif + enddo + enddo -enddo -end subroutine source_damage_anisoDuctile_init +end function source_damage_anisoDuctile_init !-------------------------------------------------------------------------------------------------- !> @brief calculates derived quantities from state !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisoDuctile_dotState(ipc, ip, el) +module subroutine source_damage_anisoDuctile_dotState(ipc, ip, el) integer, intent(in) :: & ipc, & !< component-ID of integration point @@ -129,7 +127,7 @@ subroutine source_damage_anisoDuctile_dotState(ipc, ip, el) associate(prm => param(source_damage_anisoDuctile_instance(phase))) sourceState(phase)%p(sourceOffset)%dotState(1,constituent) & - = sum(plasticState(phase)%slipRate(:,constituent)/(damage(homog)%p(damageOffset)**prm%n)/prm%critPlasticStrain) + = sum(plasticState(phase)%slipRate(:,constituent)/(damage(homog)%p(damageOffset)**prm%q)/prm%gamma_crit) end associate end subroutine source_damage_anisoDuctile_dotState @@ -138,7 +136,7 @@ end subroutine source_damage_anisoDuctile_dotState !-------------------------------------------------------------------------------------------------- !> @brief returns local part of nonlocal damage driving force !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisoDuctile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) +module subroutine source_damage_anisoDuctile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) integer, intent(in) :: & phase, & @@ -165,7 +163,7 @@ end subroutine source_damage_anisoDuctile_getRateAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief writes results to HDF5 output file !-------------------------------------------------------------------------------------------------- -subroutine source_damage_anisoDuctile_results(phase,group) +module subroutine source_damage_anisoDuctile_results(phase,group) integer, intent(in) :: phase character(len=*), intent(in) :: group @@ -176,12 +174,12 @@ subroutine source_damage_anisoDuctile_results(phase,group) stt => sourceState(phase)%p(source_damage_anisoDuctile_offset(phase))%state) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case ('anisoductile_drivingforce') - call results_writeDataset(group,stt,'tbd','driving force','tbd') + case ('f_phi') + call results_writeDataset(group,stt,trim(prm%output(o)),'driving force','J/m³') end select enddo outputsLoop end associate end subroutine source_damage_anisoDuctile_results -end module source_damage_anisoDuctile +end submodule source_damage_anisoDuctile diff --git a/src/source_damage_isoBrittle.f90 b/src/source_damage_isoBrittle.f90 index 9eacb4516..7fcf17ee0 100644 --- a/src/source_damage_isoBrittle.f90 +++ b/src/source_damage_isoBrittle.f90 @@ -4,39 +4,20 @@ !> @brief material subroutine incoprorating isotropic brittle damage source mechanism !> @details to be done !-------------------------------------------------------------------------------------------------- -module source_damage_isoBrittle - use prec - use debug - use IO - use math - use discretization - use material - use config - use results - - implicit none - private +submodule(constitutive:constitutive_damage) source_damage_isoBrittle integer, dimension(:), allocatable :: & source_damage_isoBrittle_offset, & source_damage_isoBrittle_instance - type, private :: tParameters !< container type for internal constitutive parameters + type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - critStrainEnergy, & - N + W_crit !< critical elastic strain energy character(len=pStringLen), allocatable, dimension(:) :: & output end type tParameters - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) - - - public :: & - source_damage_isoBrittle_init, & - source_damage_isoBrittle_deltaState, & - source_damage_isoBrittle_getRateAndItsTangent, & - source_damage_isoBrittle_results + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) contains @@ -45,63 +26,75 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoBrittle_init +module function source_damage_isoBrittle_init(source_length) result(mySources) - integer :: Ninstance,sourceOffset,NipcMyPhase,p + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + + class(tNode), pointer :: & + phases, & + phase, & + sources, & + src + integer :: Ninstances,sourceOffset,Nconstituents,p character(len=pStringLen) :: extmsg = '' - write(6,'(/,a)') ' <<<+- source_'//SOURCE_DAMAGE_ISOBRITTLE_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- source_damage_isoBrittle init -+>>>' - Ninstance = count(phase_source == SOURCE_DAMAGE_ISOBRITTLE_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + mySources = source_active('damage_isoBrittle',source_length) + Ninstances = count(mySources) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - allocate(source_damage_isoBrittle_offset (size(config_phase)), source=0) - allocate(source_damage_isoBrittle_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(source_damage_isoBrittle_offset (phases%length), source=0) + allocate(source_damage_isoBrittle_instance(phases%length), source=0) - do p = 1, size(config_phase) - source_damage_isoBrittle_instance(p) = count(phase_source(:,1:p) == SOURCE_DAMAGE_ISOBRITTLE_ID) - do sourceOffset = 1, phase_Nsources(p) - if (phase_source(sourceOffset,p) == SOURCE_DAMAGE_ISOBRITTLE_ID) then + do p = 1, phases%length + phase => phases%get(p) + if(any(mySources(:,p))) source_damage_isoBrittle_instance(p) = count(mySources(:,1:p)) + if(count(mySources(:,p)) == 0) cycle + sources => phase%get('source') + do sourceOffset = 1, sources%length + if(mySources(sourceOffset,p)) then source_damage_isoBrittle_offset(p) = sourceOffset - exit - endif - enddo + associate(prm => param(source_damage_isoBrittle_instance(p))) + src => sources%get(sourceOffset) - if (all(phase_source(:,p) /= SOURCE_DAMAGE_ISOBRITTLE_ID)) cycle - associate(prm => param(source_damage_isoBrittle_instance(p)), & - config => config_phase(p)) + prm%W_crit = src%get_asFloat('W_crit') - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(src) +#else + prm%output = src%get_asStrings('output',defaultVal=emptyStringArray) +#endif + + ! sanity checks + if (prm%W_crit <= 0.0_pReal) extmsg = trim(extmsg)//' W_crit' - prm%N = config%getFloat('isobrittle_n') - prm%critStrainEnergy = config%getFloat('isobrittle_criticalstrainenergy') + Nconstituents = count(material_phaseAt==p) * discretization_nIPs + call constitutive_allocateState(sourceState(p)%p(sourceOffset),Nconstituents,1,1,1) + sourceState(p)%p(sourceOffset)%atol = src%get_asFloat('isoBrittle_atol',defaultVal=1.0e-3_pReal) + if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' isobrittle_atol' - ! sanity checks - if (prm%N <= 0.0_pReal) extmsg = trim(extmsg)//' isobrittle_n' - if (prm%critStrainEnergy <= 0.0_pReal) extmsg = trim(extmsg)//' isobrittle_criticalstrainenergy' - - NipcMyPhase = count(material_phaseAt==p) * discretization_nIP - call material_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,1) - sourceState(p)%p(sourceOffset)%atol = config%getFloat('isobrittle_atol',defaultVal=1.0e-3_pReal) - if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' isobrittle_atol' - - end associate + end associate !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//SOURCE_DAMAGE_ISOBRITTLE_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(damage_isoBrittle)') + endif + enddo + enddo -enddo -end subroutine source_damage_isoBrittle_init +end function source_damage_isoBrittle_init !-------------------------------------------------------------------------------------------------- !> @brief calculates derived quantities from state !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoBrittle_deltaState(C, Fe, ipc, ip, el) +module subroutine source_damage_isoBrittle_deltaState(C, Fe, ipc, ip, el) integer, intent(in) :: & ipc, & !< component-ID of integration point @@ -128,8 +121,8 @@ subroutine source_damage_isoBrittle_deltaState(C, Fe, ipc, ip, el) strain = 0.5_pReal*math_sym33to6(matmul(transpose(Fe),Fe)-math_I3) associate(prm => param(source_damage_isoBrittle_instance(phase))) - strainenergy = 2.0_pReal*sum(strain*matmul(C,strain))/prm%critStrainEnergy - ! ToDo: check strainenergy = 2.0_pReal*dot_product(strain,matmul(C,strain))/param(instance)%critStrainEnergy + strainenergy = 2.0_pReal*sum(strain*matmul(C,strain))/prm%W_crit + ! ToDo: check strainenergy = 2.0_pReal*dot_product(strain,matmul(C,strain))/prm%W_crit if (strainenergy > sourceState(phase)%p(sourceOffset)%subState0(1,constituent)) then sourceState(phase)%p(sourceOffset)%deltaState(1,constituent) = & @@ -147,7 +140,7 @@ end subroutine source_damage_isoBrittle_deltaState !-------------------------------------------------------------------------------------------------- !> @brief returns local part of nonlocal damage driving force !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoBrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) +module subroutine source_damage_isoBrittle_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) integer, intent(in) :: & phase, & @@ -164,10 +157,9 @@ subroutine source_damage_isoBrittle_getRateAndItsTangent(localphiDot, dLocalphiD sourceOffset = source_damage_isoBrittle_offset(phase) associate(prm => param(source_damage_isoBrittle_instance(phase))) - localphiDot = (1.0_pReal - phi)**(prm%n - 1.0_pReal) & + localphiDot = 1.0_pReal & - phi*sourceState(phase)%p(sourceOffset)%state(1,constituent) - dLocalphiDot_dPhi = - (prm%n - 1.0_pReal)* (1.0_pReal - phi)**max(0.0_pReal,prm%n - 2.0_pReal) & - - sourceState(phase)%p(sourceOffset)%state(1,constituent) + dLocalphiDot_dPhi = - sourceState(phase)%p(sourceOffset)%state(1,constituent) end associate end subroutine source_damage_isoBrittle_getRateAndItsTangent @@ -176,7 +168,7 @@ end subroutine source_damage_isoBrittle_getRateAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief writes results to HDF5 output file !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoBrittle_results(phase,group) +module subroutine source_damage_isoBrittle_results(phase,group) integer, intent(in) :: phase character(len=*), intent(in) :: group @@ -187,12 +179,12 @@ subroutine source_damage_isoBrittle_results(phase,group) stt => sourceState(phase)%p(source_damage_isoBrittle_offset(phase))%state) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case ('isobrittle_drivingforce') - call results_writeDataset(group,stt,'tbd','driving force','tbd') + case ('f_phi') + call results_writeDataset(group,stt,trim(prm%output(o)),'driving force','J/m³') end select enddo outputsLoop end associate end subroutine source_damage_isoBrittle_results -end module source_damage_isoBrittle +end submodule source_damage_isoBrittle diff --git a/src/source_damage_isoDuctile.f90 b/src/source_damage_isoDuctile.f90 index 96754725d..1bff20570 100644 --- a/src/source_damage_isoDuctile.f90 +++ b/src/source_damage_isoDuctile.f90 @@ -1,42 +1,26 @@ !-------------------------------------------------------------------------------------------------- !> @author Pratheek Shanthraj, Max-Planck-Institut für Eisenforschung GmbH !> @author Luv Sharma, Max-Planck-Institut für Eisenforschung GmbH -!> @brief material subroutine incoprorating isotropic ductile damage source mechanism +!> @brief material subroutine incorporating isotropic ductile damage source mechanism !> @details to be done !-------------------------------------------------------------------------------------------------- -module source_damage_isoDuctile - use prec - use debug - use IO - use discretization - use material - use config - use results - - implicit none - private +submodule (constitutive:constitutive_damage) source_damage_isoDuctile integer, dimension(:), allocatable :: & source_damage_isoDuctile_offset, & !< which source is my current damage mechanism? source_damage_isoDuctile_instance !< instance of damage source mechanism - type, private :: tParameters !< container type for internal constitutive parameters + type:: tParameters !< container type for internal constitutive parameters real(pReal) :: & - critPlasticStrain, & - N + gamma_crit, & !< critical plastic strain + q character(len=pStringLen), allocatable, dimension(:) :: & output end type tParameters - type(tParameters), dimension(:), allocatable, private :: param !< containers of constitutive parameters (len Ninstance) + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) - public :: & - source_damage_isoDuctile_init, & - source_damage_isoDuctile_dotState, & - source_damage_isoDuctile_getRateAndItsTangent, & - source_damage_isoDuctile_Results - contains @@ -44,63 +28,77 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoDuctile_init +module function source_damage_isoDuctile_init(source_length) result(mySources) - integer :: Ninstance,sourceOffset,NipcMyPhase,p + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources + + class(tNode), pointer :: & + phases, & + phase, & + sources, & + src + integer :: Ninstances,sourceOffset,Nconstituents,p character(len=pStringLen) :: extmsg = '' - write(6,'(/,a)') ' <<<+- source_'//SOURCE_DAMAGE_ISODUCTILE_LABEL//' init -+>>>'; flush(6) + print'(/,a)', ' <<<+- source_damage_isoDuctile init -+>>>' - Ninstance = count(phase_source == SOURCE_DAMAGE_ISODUCTILE_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + mySources = source_active('damage_isoDuctile',source_length) + Ninstances = count(mySources) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - allocate(source_damage_isoDuctile_offset (size(config_phase)), source=0) - allocate(source_damage_isoDuctile_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(source_damage_isoDuctile_offset (phases%length), source=0) + allocate(source_damage_isoDuctile_instance(phases%length), source=0) - do p = 1, size(config_phase) - source_damage_isoDuctile_instance(p) = count(phase_source(:,1:p) == SOURCE_DAMAGE_ISODUCTILE_ID) - do sourceOffset = 1, phase_Nsources(p) - if (phase_source(sourceOffset,p) == SOURCE_DAMAGE_ISODUCTILE_ID) then + do p = 1, phases%length + phase => phases%get(p) + if(count(mySources(:,p)) == 0) cycle + if(any(mySources(:,p))) source_damage_isoDuctile_instance(p) = count(mySources(:,1:p)) + sources => phase%get('source') + do sourceOffset = 1, sources%length + if(mySources(sourceOffset,p)) then source_damage_isoDuctile_offset(p) = sourceOffset - exit - endif - enddo + associate(prm => param(source_damage_isoDuctile_instance(p))) + src => sources%get(sourceOffset) - if (all(phase_source(:,p) /= SOURCE_DAMAGE_ISODUCTILE_ID)) cycle - associate(prm => param(source_damage_isoDuctile_instance(p)), & - config => config_phase(p)) + prm%q = src%get_asFloat('q') + prm%gamma_crit = src%get_asFloat('gamma_crit') - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(src) +#else + prm%output = src%get_asStrings('output',defaultVal=emptyStringArray) +#endif + + ! sanity checks + if (prm%q <= 0.0_pReal) extmsg = trim(extmsg)//' q' + if (prm%gamma_crit <= 0.0_pReal) extmsg = trim(extmsg)//' gamma_crit' - prm%N = config%getFloat('isoductile_ratesensitivity') - prm%critPlasticStrain = config%getFloat('isoductile_criticalplasticstrain') + Nconstituents=count(material_phaseAt==p) * discretization_nIPs + call constitutive_allocateState(sourceState(p)%p(sourceOffset),Nconstituents,1,1,0) + sourceState(p)%p(sourceOffset)%atol = src%get_asFloat('isoDuctile_atol',defaultVal=1.0e-3_pReal) + if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' isoductile_atol' - ! sanity checks - if (prm%N <= 0.0_pReal) extmsg = trim(extmsg)//' isoductile_ratesensitivity' - if (prm%critPlasticStrain <= 0.0_pReal) extmsg = trim(extmsg)//' isoductile_criticalplasticstrain' - - NipcMyPhase=count(material_phaseAt==p) * discretization_nIP - call material_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) - sourceState(p)%p(sourceOffset)%atol = config%getFloat('isoductile_atol',defaultVal=1.0e-3_pReal) - if(any(sourceState(p)%p(sourceOffset)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' isoductile_atol' - - end associate + end associate !-------------------------------------------------------------------------------------------------- ! exit if any parameter is out of range - if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'('//SOURCE_DAMAGE_ISODUCTILE_LABEL//')') + if (extmsg /= '') call IO_error(211,ext_msg=trim(extmsg)//'(damage_isoDuctile)') + endif + enddo + enddo -enddo -end subroutine source_damage_isoDuctile_init +end function source_damage_isoDuctile_init !-------------------------------------------------------------------------------------------------- !> @brief calculates derived quantities from state !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoDuctile_dotState(ipc, ip, el) +module subroutine source_damage_isoDuctile_dotState(ipc, ip, el) integer, intent(in) :: & ipc, & !< component-ID of integration point @@ -122,7 +120,7 @@ subroutine source_damage_isoDuctile_dotState(ipc, ip, el) associate(prm => param(source_damage_isoDuctile_instance(phase))) sourceState(phase)%p(sourceOffset)%dotState(1,constituent) = & - sum(plasticState(phase)%slipRate(:,constituent))/(damage(homog)%p(damageOffset)**prm%N)/prm%critPlasticStrain + sum(plasticState(phase)%slipRate(:,constituent))/(damage(homog)%p(damageOffset)**prm%q)/prm%gamma_crit end associate end subroutine source_damage_isoDuctile_dotState @@ -131,7 +129,7 @@ end subroutine source_damage_isoDuctile_dotState !-------------------------------------------------------------------------------------------------- !> @brief returns local part of nonlocal damage driving force !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoDuctile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) +module subroutine source_damage_isoDuctile_getRateAndItsTangent(localphiDot, dLocalphiDot_dPhi, phi, phase, constituent) integer, intent(in) :: & phase, & @@ -158,7 +156,7 @@ end subroutine source_damage_isoDuctile_getRateAndItsTangent !-------------------------------------------------------------------------------------------------- !> @brief writes results to HDF5 output file !-------------------------------------------------------------------------------------------------- -subroutine source_damage_isoDuctile_results(phase,group) +module subroutine source_damage_isoDuctile_results(phase,group) integer, intent(in) :: phase character(len=*), intent(in) :: group @@ -169,12 +167,12 @@ subroutine source_damage_isoDuctile_results(phase,group) stt => sourceState(phase)%p(source_damage_isoDuctile_offset(phase))%state) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case ('isoductile_drivingforce') - call results_writeDataset(group,stt,'tbd','driving force','tbd') + case ('f_phi') + call results_writeDataset(group,stt,trim(prm%output(o)),'driving force','J/m³') end select enddo outputsLoop end associate end subroutine source_damage_isoDuctile_results -end module source_damage_isoDuctile +end submodule source_damage_isoDuctile diff --git a/src/source_thermal_dissipation.f90 b/src/source_thermal_dissipation.f90 index c323e68b5..f28567aa7 100644 --- a/src/source_thermal_dissipation.f90 +++ b/src/source_thermal_dissipation.f90 @@ -4,15 +4,7 @@ !> @brief material subroutine for thermal source due to plastic dissipation !> @details to be done !-------------------------------------------------------------------------------------------------- -module source_thermal_dissipation - use prec - use debug - use discretization - use material - use config - - implicit none - private +submodule(constitutive:constitutive_thermal) source_thermal_dissipation integer, dimension(:), allocatable :: & source_thermal_dissipation_offset, & !< which source is my current thermal dissipation mechanism? @@ -20,16 +12,12 @@ module source_thermal_dissipation type :: tParameters !< container type for internal constitutive parameters real(pReal) :: & - kappa + kappa !< TAYLOR-QUINNEY factor end type tParameters - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) - public :: & - source_thermal_dissipation_init, & - source_thermal_dissipation_getRateAndItsTangent - contains @@ -37,48 +25,58 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine source_thermal_dissipation_init +module function source_thermal_dissipation_init(source_length) result(mySources) - integer :: Ninstance,sourceOffset,NipcMyPhase,p + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources - write(6,'(/,a)') ' <<<+- source_'//SOURCE_thermal_dissipation_label//' init -+>>>'; flush(6) + class(tNode), pointer :: & + phases, & + phase, & + sources, & + src + integer :: Ninstances,sourceOffset,Nconstituents,p - Ninstance = count(phase_source == SOURCE_THERMAL_DISSIPATION_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + print'(/,a)', ' <<<+- source_thermal_dissipation init -+>>>' - allocate(source_thermal_dissipation_offset (size(config_phase)), source=0) - allocate(source_thermal_dissipation_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + mySources = source_active('thermal_dissipation',source_length) + Ninstances = count(mySources) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - do p = 1, size(config_phase) - source_thermal_dissipation_instance(p) = count(phase_source(:,1:p) == SOURCE_THERMAL_DISSIPATION_ID) - do sourceOffset = 1, phase_Nsources(p) - if (phase_source(sourceOffset,p) == SOURCE_THERMAL_DISSIPATION_ID) then + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(source_thermal_dissipation_offset (phases%length), source=0) + allocate(source_thermal_dissipation_instance(phases%length), source=0) + + do p = 1, phases%length + phase => phases%get(p) + if(count(mySources(:,p)) == 0) cycle + if(any(mySources(:,p))) source_thermal_dissipation_instance(p) = count(mySources(:,1:p)) + sources => phase%get('source') + do sourceOffset = 1, sources%length + if(mySources(sourceOffset,p)) then source_thermal_dissipation_offset(p) = sourceOffset - exit + associate(prm => param(source_thermal_dissipation_instance(p))) + + src => sources%get(sourceOffset) + prm%kappa = src%get_asFloat('kappa') + Nconstituents = count(material_phaseAt==p) * discretization_nIPs + call constitutive_allocateState(sourceState(p)%p(sourceOffset),Nconstituents,0,0,0) + + end associate endif enddo - - if (all(phase_source(:,p) /= SOURCE_THERMAL_DISSIPATION_ID)) cycle - associate(prm => param(source_thermal_dissipation_instance(p)), & - config => config_phase(p)) - - prm%kappa = config%getFloat('dissipation_coldworkcoeff') - - NipcMyPhase = count(material_phaseAt==p) * discretization_nIP - call material_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,0,0,0) - - end associate enddo -end subroutine source_thermal_dissipation_init + +end function source_thermal_dissipation_init !-------------------------------------------------------------------------------------------------- -!> @brief Ninstances dissipation rate +!> @brief Ninstancess dissipation rate !-------------------------------------------------------------------------------------------------- -subroutine source_thermal_dissipation_getRateAndItsTangent(TDot, dTDot_dT, Tstar, Lp, phase) +module subroutine source_thermal_dissipation_getRateAndItsTangent(TDot, dTDot_dT, Tstar, Lp, phase) integer, intent(in) :: & phase @@ -98,4 +96,4 @@ subroutine source_thermal_dissipation_getRateAndItsTangent(TDot, dTDot_dT, Tstar end subroutine source_thermal_dissipation_getRateAndItsTangent -end module source_thermal_dissipation +end submodule source_thermal_dissipation diff --git a/src/source_thermal_externalheat.f90 b/src/source_thermal_externalheat.f90 index 06b8a5197..9ba4a051b 100644 --- a/src/source_thermal_externalheat.f90 +++ b/src/source_thermal_externalheat.f90 @@ -4,36 +4,24 @@ !> @author Philip Eisenlohr, Michigan State University !> @brief material subroutine for variable heat source !-------------------------------------------------------------------------------------------------- -module source_thermal_externalheat - use prec - use debug - use discretization - use material - use config +submodule(constitutive:constitutive_thermal) source_thermal_externalheat - implicit none - private integer, dimension(:), allocatable :: & source_thermal_externalheat_offset, & !< which source is my current thermal dissipation mechanism? source_thermal_externalheat_instance !< instance of thermal dissipation source mechanism - type :: tParameters !< container type for internal constitutive parameters + type :: tParameters !< container type for internal constitutive parameters real(pReal), dimension(:), allocatable :: & - time, & - heat_rate + t_n, & + f_T integer :: & nIntervals end type tParameters - type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstance) + type(tParameters), dimension(:), allocatable :: param !< containers of constitutive parameters (len Ninstances) - public :: & - source_thermal_externalheat_init, & - source_thermal_externalheat_dotState, & - source_thermal_externalheat_getRateAndItsTangent - contains @@ -41,52 +29,62 @@ contains !> @brief module initialization !> @details reads in material parameters, allocates arrays, and does sanity checks !-------------------------------------------------------------------------------------------------- -subroutine source_thermal_externalheat_init +module function source_thermal_externalheat_init(source_length) result(mySources) - integer :: Ninstance,sourceOffset,NipcMyPhase,p + integer, intent(in) :: source_length + logical, dimension(:,:), allocatable :: mySources - write(6,'(/,a)') ' <<<+- source_'//SOURCE_thermal_externalheat_label//' init -+>>>'; flush(6) + class(tNode), pointer :: & + phases, & + phase, & + sources, & + src + integer :: Ninstances,sourceOffset,Nconstituents,p - Ninstance = count(phase_source == SOURCE_thermal_externalheat_ID) - if (iand(debug_level(debug_constitutive),debug_levelBasic) /= 0) & - write(6,'(a16,1x,i5,/)') '# instances:',Ninstance + print'(/,a)', ' <<<+- source_thermal_externalHeat init -+>>>' - allocate(source_thermal_externalheat_offset (size(config_phase)), source=0) - allocate(source_thermal_externalheat_instance(size(config_phase)), source=0) - allocate(param(Ninstance)) + mySources = source_active('thermal_externalheat',source_length) + Ninstances = count(mySources) + print'(a,i2)', ' # instances: ',Ninstances; flush(IO_STDOUT) + if(Ninstances == 0) return - do p = 1, size(config_phase) - source_thermal_externalheat_instance(p) = count(phase_source(:,1:p) == SOURCE_thermal_externalheat_ID) - do sourceOffset = 1, phase_Nsources(p) - if (phase_source(sourceOffset,p) == SOURCE_thermal_externalheat_ID) then + phases => config_material%get('phase') + allocate(param(Ninstances)) + allocate(source_thermal_externalheat_offset (phases%length), source=0) + allocate(source_thermal_externalheat_instance(phases%length), source=0) + + do p = 1, phases%length + phase => phases%get(p) + if(any(mySources(:,p))) source_thermal_externalheat_instance(p) = count(mySources(:,1:p)) + if(count(mySources(:,p)) == 0) cycle + sources => phase%get('source') + do sourceOffset = 1, sources%length + if(mySources(sourceOffset,p)) then source_thermal_externalheat_offset(p) = sourceOffset - exit + associate(prm => param(source_thermal_externalheat_instance(p))) + src => sources%get(sourceOffset) + + prm%t_n = src%get_asFloats('t_n') + prm%nIntervals = size(prm%t_n) - 1 + + prm%f_T = src%get_asFloats('f_T',requiredSize = size(prm%t_n)) + + Nconstituents = count(material_phaseAt==p) * discretization_nIPs + call constitutive_allocateState(sourceState(p)%p(sourceOffset),Nconstituents,1,1,0) + end associate + endif enddo - - if (all(phase_source(:,p) /= SOURCE_thermal_externalheat_ID)) cycle - associate(prm => param(source_thermal_externalheat_instance(p)), & - config => config_phase(p)) - - prm%time = config%getFloats('externalheat_time') - prm%nIntervals = size(prm%time) - 1 - - prm%heat_rate = config%getFloats('externalheat_rate',requiredSize = size(prm%time)) - - NipcMyPhase = count(material_phaseAt==p) * discretization_nIP - call material_allocateState(sourceState(p)%p(sourceOffset),NipcMyPhase,1,1,0) - - end associate enddo -end subroutine source_thermal_externalheat_init +end function source_thermal_externalheat_init !-------------------------------------------------------------------------------------------------- !> @brief rate of change of state !> @details state only contains current time to linearly interpolate given heat powers !-------------------------------------------------------------------------------------------------- -subroutine source_thermal_externalheat_dotState(phase, of) +module subroutine source_thermal_externalheat_dotState(phase, of) integer, intent(in) :: & phase, & @@ -105,7 +103,7 @@ end subroutine source_thermal_externalheat_dotState !-------------------------------------------------------------------------------------------------- !> @brief returns local heat generation rate !-------------------------------------------------------------------------------------------------- -subroutine source_thermal_externalheat_getRateAndItsTangent(TDot, dTDot_dT, phase, of) +module subroutine source_thermal_externalheat_getRateAndItsTangent(TDot, dTDot_dT, phase, of) integer, intent(in) :: & phase, & @@ -123,13 +121,13 @@ subroutine source_thermal_externalheat_getRateAndItsTangent(TDot, dTDot_dT, phas associate(prm => param(source_thermal_externalheat_instance(phase))) do interval = 1, prm%nIntervals ! scan through all rate segments - frac_time = (sourceState(phase)%p(sourceOffset)%state(1,of) - prm%time(interval)) & - / (prm%time(interval+1) - prm%time(interval)) ! fractional time within segment + frac_time = (sourceState(phase)%p(sourceOffset)%state(1,of) - prm%t_n(interval)) & + / (prm%t_n(interval+1) - prm%t_n(interval)) ! fractional time within segment if ( (frac_time < 0.0_pReal .and. interval == 1) & .or. (frac_time >= 1.0_pReal .and. interval == prm%nIntervals) & .or. (frac_time >= 0.0_pReal .and. frac_time < 1.0_pReal) ) & - TDot = prm%heat_rate(interval ) * (1.0_pReal - frac_time) + & - prm%heat_rate(interval+1) * frac_time ! interpolate heat rate between segment boundaries... + TDot = prm%f_T(interval ) * (1.0_pReal - frac_time) + & + prm%f_T(interval+1) * frac_time ! interpolate heat rate between segment boundaries... ! ...or extrapolate if outside of bounds enddo dTDot_dT = 0.0 @@ -137,4 +135,4 @@ subroutine source_thermal_externalheat_getRateAndItsTangent(TDot, dTDot_dT, phas end subroutine source_thermal_externalheat_getRateAndItsTangent -end module source_thermal_externalheat +end submodule source_thermal_externalheat diff --git a/src/system_routines.f90 b/src/system_routines.f90 index d29787909..9a2442163 100644 --- a/src/system_routines.f90 +++ b/src/system_routines.f90 @@ -1,14 +1,14 @@ !-------------------------------------------------------------------------------------------------- -!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH -!> @brief provides wrappers to C routines +!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH +!> @brief Wrappers to C routines for system operations !-------------------------------------------------------------------------------------------------- module system_routines use, intrinsic :: ISO_C_Binding - - use prec - + + use prec + implicit none - + public :: & signalterm_C, & signalusr1_C, & @@ -17,74 +17,74 @@ module system_routines getCWD, & getHostName, & setCWD - + interface - + function isDirectory_C(path) bind(C) use, intrinsic :: ISO_C_Binding, only: & C_INT, & C_CHAR use prec - + integer(C_INT) :: isDirectory_C character(kind=C_CHAR), dimension(pPathLen), intent(in) :: path ! C string is an array - end function isDirectory_C - + end function isDirectory_C + subroutine getCurrentWorkDir_C(path, stat) bind(C) use, intrinsic :: ISO_C_Binding, only: & C_INT, & C_CHAR use prec - + character(kind=C_CHAR), dimension(pPathLen), intent(out) :: path ! C string is an array integer(C_INT), intent(out) :: stat - end subroutine getCurrentWorkDir_C - + end subroutine getCurrentWorkDir_C + subroutine getHostName_C(str, stat) bind(C) use, intrinsic :: ISO_C_Binding, only: & C_INT, & C_CHAR use prec - + character(kind=C_CHAR), dimension(pStringLen), intent(out) :: str ! C string is an array integer(C_INT), intent(out) :: stat - end subroutine getHostName_C - + end subroutine getHostName_C + function chdir_C(path) bind(C) use, intrinsic :: ISO_C_Binding, only: & C_INT, & C_CHAR use prec - + integer(C_INT) :: chdir_C character(kind=C_CHAR), dimension(pPathLen), intent(in) :: path ! C string is an array end function chdir_C - + subroutine signalterm_C(handler) bind(C) use, intrinsic :: ISO_C_Binding, only: & C_FUNPTR - + type(C_FUNPTR), intent(in), value :: handler end subroutine signalterm_C - + subroutine signalusr1_C(handler) bind(C) use, intrinsic :: ISO_C_Binding, only: & C_FUNPTR - + type(C_FUNPTR), intent(in), value :: handler end subroutine signalusr1_C - + subroutine signalusr2_C(handler) bind(C) use, intrinsic :: ISO_C_Binding, only: & C_FUNPTR - + type(C_FUNPTR), intent(in), value :: handler end subroutine signalusr2_C - + end interface contains @@ -95,14 +95,8 @@ contains logical function isDirectory(path) character(len=*), intent(in) :: path - character(kind=C_CHAR), dimension(pPathLen) :: strFixedLength ! C string as array - integer :: i - - strFixedLength = repeat(C_NULL_CHAR,len(strFixedLength)) - do i=1,len(path) ! copy array components - strFixedLength(i)=path(i:i) - enddo - isDirectory=merge(.True.,.False.,isDirectory_C(strFixedLength) /= 0_C_INT) + + isDirectory=merge(.True.,.False.,isDirectory_C(f_c_string(path)) /= 0_C_INT) end function isDirectory @@ -112,25 +106,16 @@ end function isDirectory !-------------------------------------------------------------------------------------------------- function getCWD() - character(kind=C_CHAR), dimension(pPathLen) :: charArray ! C string is an array + character(kind=C_CHAR), dimension(pPathLen) :: getCWD_Cstring character(len=:), allocatable :: getCWD integer(C_INT) :: stat - integer :: i - - call getCurrentWorkDir_C(charArray,stat) - - if (stat /= 0_C_INT) then - getCWD = 'Error occured when getting currend working directory' + + call getCurrentWorkDir_C(getCWD_Cstring,stat) + + if(stat == 0) then + getCWD = c_f_string(getCWD_Cstring) else - allocate(character(len=pPathLen)::getCWD) - arrayToString: do i=1,len(getCWD) - if (charArray(i) /= C_NULL_CHAR) then - getCWD(i:i)=charArray(i) - else - getCWD = getCWD(:i-1) - exit - endif - enddo arrayToString + getCWD = 'Error occured when getting currend working directory' endif end function getCWD @@ -141,25 +126,16 @@ end function getCWD !-------------------------------------------------------------------------------------------------- function getHostName() - character(kind=C_CHAR), dimension(pPathLen) :: charArray ! C string is an array + character(kind=C_CHAR), dimension(pPathLen) :: getHostName_Cstring character(len=:), allocatable :: getHostName integer(C_INT) :: stat - integer :: i - - call getHostName_C(charArray,stat) - if (stat /= 0_C_INT) then - getHostName = 'Error occured when getting host name' + call getHostName_C(getHostName_Cstring,stat) + + if(stat == 0) then + getHostName = c_f_string(getHostName_Cstring) else - allocate(character(len=pPathLen)::getHostName) - arrayToString: do i=1,len(getHostName) - if (charArray(i) /= C_NULL_CHAR) then - getHostName(i:i)=charArray(i) - else - getHostName = getHostName(:i-1) - exit - endif - enddo arrayToString + getHostName = 'Error occured when getting host name' endif end function getHostName @@ -171,16 +147,52 @@ end function getHostName logical function setCWD(path) character(len=*), intent(in) :: path - character(kind=C_CHAR), dimension(pPathLen) :: strFixedLength ! C string is an array - integer :: i - - strFixedLength = repeat(C_NULL_CHAR,len(strFixedLength)) - do i=1,len(path) ! copy array components - strFixedLength(i)=path(i:i) - enddo - setCWD=merge(.True.,.False.,chdir_C(strFixedLength) /= 0_C_INT) + + setCWD=merge(.True.,.False.,chdir_C(f_c_string(path)) /= 0_C_INT) end function setCWD + +!-------------------------------------------------------------------------------------------------- +!> @brief convert C string to Fortran string +!> @details: C string is NULL terminated and, hence, longer by one than the Fortran string +!-------------------------------------------------------------------------------------------------- +pure function c_f_string(c_string) result(f_string) + + character(kind=C_CHAR), dimension(:), intent(in) :: c_string + character(len=:), allocatable :: f_string + integer :: i + + allocate(character(len=size(c_string))::f_string) + arrayToString: do i=1,len(f_string) + if (c_string(i) /= C_NULL_CHAR) then + f_string(i:i)=c_string(i) + else + f_string = f_string(:i-1) + exit + endif + enddo arrayToString + +end function c_f_string + + +!-------------------------------------------------------------------------------------------------- +!> @brief convert Fortran string to C string +!> @details: C string is NULL terminated and, hence, longer by one than the Fortran string +!-------------------------------------------------------------------------------------------------- +pure function f_c_string(f_string) result(c_string) + + character(len=*), intent(in) :: f_string + character(kind=C_CHAR), dimension(len(f_string)+1) :: c_string + integer :: i + + do i=1,len(f_string) + c_string(i)=f_string(i:i) + enddo + c_string(i) = C_NULL_CHAR + +end function f_c_string + + end module system_routines diff --git a/src/thermal_adiabatic.f90 b/src/thermal_adiabatic.f90 index 2bef1c3ee..aa807924c 100644 --- a/src/thermal_adiabatic.f90 +++ b/src/thermal_adiabatic.f90 @@ -5,11 +5,10 @@ module thermal_adiabatic use prec use config - use numerics use material use results - use source_thermal_dissipation - use source_thermal_externalheat + use constitutive + use YAML_types use crystallite use lattice @@ -41,32 +40,44 @@ contains !-------------------------------------------------------------------------------------------------- subroutine thermal_adiabatic_init - integer :: maxNinstance,h,NofMyHomog - - write(6,'(/,a)') ' <<<+- thermal_'//THERMAL_ADIABATIC_label//' init -+>>>'; flush(6) - - maxNinstance = count(thermal_type == THERMAL_adiabatic_ID) - if (maxNinstance == 0) return - - allocate(param(maxNinstance)) - - do h = 1, size(thermal_type) - if (thermal_type(h) /= THERMAL_adiabatic_ID) cycle - associate(prm => param(thermal_typeInstance(h)),config => config_homogenization(h)) - - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) + integer :: maxNinstances,h,Nmaterialpoints + class(tNode), pointer :: & + material_homogenization, & + homog, & + homogThermal - NofMyHomog=count(material_homogenizationAt==h) + print'(/,a)', ' <<<+- thermal_adiabatic init -+>>>'; flush(6) + + maxNinstances = count(thermal_type == THERMAL_adiabatic_ID) + if (maxNinstances == 0) return + + allocate(param(maxNinstances)) + + material_homogenization => config_material%get('homogenization') + do h = 1, size(material_name_homogenization) + if (thermal_type(h) /= THERMAL_adiabatic_ID) cycle + homog => material_homogenization%get(h) + homogThermal => homog%get('thermal') + + associate(prm => param(thermal_typeInstance(h))) + +#if defined (__GFORTRAN__) + prm%output = output_asStrings(homogThermal) +#else + prm%output = homogThermal%get_asStrings('output',defaultVal=emptyStringArray) +#endif + + Nmaterialpoints=count(material_homogenizationAt==h) thermalState(h)%sizeState = 1 - allocate(thermalState(h)%state0 (1,NofMyHomog), source=thermal_initialT(h)) - allocate(thermalState(h)%subState0(1,NofMyHomog), source=thermal_initialT(h)) - allocate(thermalState(h)%state (1,NofMyHomog), source=thermal_initialT(h)) + allocate(thermalState(h)%state0 (1,Nmaterialpoints), source=thermal_initialT(h)) + allocate(thermalState(h)%subState0(1,Nmaterialpoints), source=thermal_initialT(h)) + allocate(thermalState(h)%state (1,Nmaterialpoints), source=thermal_initialT(h)) thermalMapping(h)%p => material_homogenizationMemberAt deallocate(temperature(h)%p) temperature(h)%p => thermalState(h)%state(1,:) deallocate(temperatureRate(h)%p) - allocate (temperatureRate(h)%p(NofMyHomog), source=0.0_pReal) + allocate (temperatureRate(h)%p(Nmaterialpoints), source=0.0_pReal) end associate enddo @@ -101,9 +112,9 @@ function thermal_adiabatic_updateState(subdt, ip, el) T = T + subdt*Tdot/(thermal_adiabatic_getSpecificHeat(ip,el)*thermal_adiabatic_getMassDensity(ip,el)) thermal_adiabatic_updateState = [ abs(T - thermalState(homog)%state(1,offset)) & - <= err_thermal_tolAbs & + <= 1.0e-2_pReal & .or. abs(T - thermalState(homog)%state(1,offset)) & - <= err_thermal_tolRel*abs(thermalState(homog)%state(1,offset)), & + <= 1.0e-6_pReal*abs(thermalState(homog)%state(1,offset)), & .true.] temperature (homog)%p(thermalMapping(homog)%p(ip,el)) = T @@ -125,48 +136,17 @@ subroutine thermal_adiabatic_getSourceAndItsTangent(Tdot, dTdot_dT, T, ip, el) T real(pReal), intent(out) :: & Tdot, dTdot_dT - - real(pReal) :: & - my_Tdot, my_dTdot_dT integer :: & - phase, & - homog, & - instance, & - grain, & - source, & - constituent - - homog = material_homogenizationAt(el) - instance = thermal_typeInstance(homog) - + homog + Tdot = 0.0_pReal dTdot_dT = 0.0_pReal - do grain = 1, homogenization_Ngrains(homog) - phase = material_phaseAt(grain,el) - constituent = material_phasememberAt(grain,ip,el) - do source = 1, phase_Nsources(phase) - select case(phase_source(source,phase)) - case (SOURCE_thermal_dissipation_ID) - call source_thermal_dissipation_getRateAndItsTangent(my_Tdot, my_dTdot_dT, & - crystallite_S(1:3,1:3,grain,ip,el), & - crystallite_Lp(1:3,1:3,grain,ip,el), & - phase) - case (SOURCE_thermal_externalheat_ID) - call source_thermal_externalheat_getRateAndItsTangent(my_Tdot, my_dTdot_dT, & - phase, constituent) - - case default - my_Tdot = 0.0_pReal - my_dTdot_dT = 0.0_pReal - end select - Tdot = Tdot + my_Tdot - dTdot_dT = dTdot_dT + my_dTdot_dT - enddo - enddo - - Tdot = Tdot/real(homogenization_Ngrains(homog),pReal) - dTdot_dT = dTdot_dT/real(homogenization_Ngrains(homog),pReal) + homog = material_homogenizationAt(el) + call constitutive_thermal_getRateAndItsTangents(TDot, dTDot_dT, T, crystallite_S, crystallite_Lp, ip, el) + + Tdot = Tdot/real(homogenization_Nconstituents(homog),pReal) + dTdot_dT = dTdot_dT/real(homogenization_Nconstituents(homog),pReal) end subroutine thermal_adiabatic_getSourceAndItsTangent @@ -187,13 +167,13 @@ function thermal_adiabatic_getSpecificHeat(ip,el) thermal_adiabatic_getSpecificHeat = 0.0_pReal - do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) + do grain = 1, homogenization_Nconstituents(material_homogenizationAt(el)) thermal_adiabatic_getSpecificHeat = thermal_adiabatic_getSpecificHeat & - + lattice_specificHeat(material_phaseAt(grain,el)) + + lattice_c_p(material_phaseAt(grain,el)) enddo thermal_adiabatic_getSpecificHeat = thermal_adiabatic_getSpecificHeat & - / real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + / real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end function thermal_adiabatic_getSpecificHeat @@ -213,13 +193,13 @@ function thermal_adiabatic_getMassDensity(ip,el) thermal_adiabatic_getMassDensity = 0.0_pReal - do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) + do grain = 1, homogenization_Nconstituents(material_homogenizationAt(el)) thermal_adiabatic_getMassDensity = thermal_adiabatic_getMassDensity & - + lattice_massDensity(material_phaseAt(grain,el)) + + lattice_rho(material_phaseAt(grain,el)) enddo thermal_adiabatic_getMassDensity = thermal_adiabatic_getMassDensity & - / real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + / real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end function thermal_adiabatic_getMassDensity @@ -237,7 +217,7 @@ subroutine thermal_adiabatic_results(homog,group) associate(prm => param(damage_typeInstance(homog))) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case('temperature') ! ToDo: should be 'T' + case('T') call results_writeDataset(group,temperature(homog)%p,'T',& 'temperature','K') end select diff --git a/src/thermal_conduction.f90 b/src/thermal_conduction.f90 index be72c07b6..daa7391a9 100644 --- a/src/thermal_conduction.f90 +++ b/src/thermal_conduction.f90 @@ -9,8 +9,8 @@ module thermal_conduction use lattice use results use crystallite - use source_thermal_dissipation - use source_thermal_externalheat + use constitutive + use YAML_types implicit none private @@ -41,30 +41,41 @@ contains !-------------------------------------------------------------------------------------------------- subroutine thermal_conduction_init - integer :: Ninstance,NofMyHomog,h + integer :: Ninstances,Nmaterialpoints,h + class(tNode), pointer :: & + material_homogenization, & + homog, & + homogThermal + + print'(/,a)', ' <<<+- thermal_conduction init -+>>>'; flush(6) - write(6,'(/,a)') ' <<<+- thermal_'//THERMAL_CONDUCTION_label//' init -+>>>'; flush(6) + Ninstances = count(thermal_type == THERMAL_conduction_ID) + allocate(param(Ninstances)) - Ninstance = count(thermal_type == THERMAL_conduction_ID) - allocate(param(Ninstance)) - - do h = 1, size(config_homogenization) + material_homogenization => config_material%get('homogenization') + do h = 1, size(material_name_homogenization) if (thermal_type(h) /= THERMAL_conduction_ID) cycle - associate(prm => param(thermal_typeInstance(h)),config => config_homogenization(h)) + homog => material_homogenization%get(h) + homogThermal => homog%get('thermal') + associate(prm => param(thermal_typeInstance(h))) - prm%output = config%getStrings('(output)',defaultVal=emptyStringArray) +#if defined (__GFORTRAN__) + prm%output = output_asStrings(homogThermal) +#else + prm%output = homogThermal%get_asStrings('output',defaultVal=emptyStringArray) +#endif - NofMyHomog=count(material_homogenizationAt==h) + Nmaterialpoints=count(material_homogenizationAt==h) thermalState(h)%sizeState = 0 - allocate(thermalState(h)%state0 (0,NofMyHomog)) - allocate(thermalState(h)%subState0(0,NofMyHomog)) - allocate(thermalState(h)%state (0,NofMyHomog)) + allocate(thermalState(h)%state0 (0,Nmaterialpoints)) + allocate(thermalState(h)%subState0(0,Nmaterialpoints)) + allocate(thermalState(h)%state (0,Nmaterialpoints)) thermalMapping(h)%p => material_homogenizationMemberAt deallocate(temperature (h)%p) - allocate (temperature (h)%p(NofMyHomog), source=thermal_initialT(h)) + allocate (temperature (h)%p(Nmaterialpoints), source=thermal_initialT(h)) deallocate(temperatureRate(h)%p) - allocate (temperatureRate(h)%p(NofMyHomog), source=0.0_pReal) + allocate (temperatureRate(h)%p(Nmaterialpoints), source=0.0_pReal) end associate enddo @@ -73,7 +84,7 @@ end subroutine thermal_conduction_init !-------------------------------------------------------------------------------------------------- -!> @brief returns heat generation rate +!> @brief return heat generation rate !-------------------------------------------------------------------------------------------------- subroutine thermal_conduction_getSourceAndItsTangent(Tdot, dTdot_dT, T, ip, el) @@ -84,55 +95,23 @@ subroutine thermal_conduction_getSourceAndItsTangent(Tdot, dTdot_dT, T, ip, el) T real(pReal), intent(out) :: & Tdot, dTdot_dT - real(pReal) :: & - my_Tdot, my_dTdot_dT integer :: & - phase, & - homog, & - offset, & - instance, & - grain, & - source, & - constituent - - homog = material_homogenizationAt(el) - offset = material_homogenizationMemberAt(ip,el) - instance = thermal_typeInstance(homog) - + homog + Tdot = 0.0_pReal dTdot_dT = 0.0_pReal - do grain = 1, homogenization_Ngrains(homog) - phase = material_phaseAt(grain,el) - constituent = material_phasememberAt(grain,ip,el) - do source = 1, phase_Nsources(phase) - select case(phase_source(source,phase)) - case (SOURCE_thermal_dissipation_ID) - call source_thermal_dissipation_getRateAndItsTangent(my_Tdot, my_dTdot_dT, & - crystallite_S(1:3,1:3,grain,ip,el), & - crystallite_Lp(1:3,1:3,grain,ip,el), & - phase) - case (SOURCE_thermal_externalheat_ID) - call source_thermal_externalheat_getRateAndItsTangent(my_Tdot, my_dTdot_dT, & - phase, constituent) - case default - my_Tdot = 0.0_pReal - my_dTdot_dT = 0.0_pReal + homog = material_homogenizationAt(el) + call constitutive_thermal_getRateAndItsTangents(TDot, dTDot_dT, T, crystallite_S,crystallite_Lp ,ip, el) - end select - Tdot = Tdot + my_Tdot - dTdot_dT = dTdot_dT + my_dTdot_dT - enddo - enddo - - Tdot = Tdot/real(homogenization_Ngrains(homog),pReal) - dTdot_dT = dTdot_dT/real(homogenization_Ngrains(homog),pReal) + Tdot = Tdot/real(homogenization_Nconstituents(homog),pReal) + dTdot_dT = dTdot_dT/real(homogenization_Nconstituents(homog),pReal) end subroutine thermal_conduction_getSourceAndItsTangent !-------------------------------------------------------------------------------------------------- -!> @brief returns homogenized thermal conductivity in reference configuration +!> @brief return homogenized thermal conductivity in reference configuration !-------------------------------------------------------------------------------------------------- function thermal_conduction_getConductivity(ip,el) @@ -146,13 +125,13 @@ function thermal_conduction_getConductivity(ip,el) thermal_conduction_getConductivity = 0.0_pReal - do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) + do grain = 1, homogenization_Nconstituents(material_homogenizationAt(el)) thermal_conduction_getConductivity = thermal_conduction_getConductivity + & - crystallite_push33ToRef(grain,ip,el,lattice_thermalConductivity(:,:,material_phaseAt(grain,el))) + crystallite_push33ToRef(grain,ip,el,lattice_K(:,:,material_phaseAt(grain,el))) enddo thermal_conduction_getConductivity = thermal_conduction_getConductivity & - / real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + / real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end function thermal_conduction_getConductivity @@ -172,13 +151,13 @@ function thermal_conduction_getSpecificHeat(ip,el) thermal_conduction_getSpecificHeat = 0.0_pReal - do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) + do grain = 1, homogenization_Nconstituents(material_homogenizationAt(el)) thermal_conduction_getSpecificHeat = thermal_conduction_getSpecificHeat & - + lattice_specificHeat(material_phaseAt(grain,el)) + + lattice_c_p(material_phaseAt(grain,el)) enddo thermal_conduction_getSpecificHeat = thermal_conduction_getSpecificHeat & - / real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + / real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end function thermal_conduction_getSpecificHeat @@ -199,13 +178,13 @@ function thermal_conduction_getMassDensity(ip,el) thermal_conduction_getMassDensity = 0.0_pReal - do grain = 1, homogenization_Ngrains(material_homogenizationAt(el)) + do grain = 1, homogenization_Nconstituents(material_homogenizationAt(el)) thermal_conduction_getMassDensity = thermal_conduction_getMassDensity & - + lattice_massDensity(material_phaseAt(grain,el)) + + lattice_rho(material_phaseAt(grain,el)) enddo thermal_conduction_getMassDensity = thermal_conduction_getMassDensity & - / real(homogenization_Ngrains(material_homogenizationAt(el)),pReal) + / real(homogenization_Nconstituents(material_homogenizationAt(el)),pReal) end function thermal_conduction_getMassDensity @@ -246,7 +225,7 @@ subroutine thermal_conduction_results(homog,group) associate(prm => param(damage_typeInstance(homog))) outputsLoop: do o = 1,size(prm%output) select case(trim(prm%output(o))) - case('temperature') ! ToDo: should be 'T' + case('T') call results_writeDataset(group,temperature(homog)%p,'T',& 'temperature','K') end select diff --git a/src/thermal_isothermal.f90 b/src/thermal_isothermal.f90 index 630e8db6d..39c8efe91 100644 --- a/src/thermal_isothermal.f90 +++ b/src/thermal_isothermal.f90 @@ -8,27 +8,27 @@ module thermal_isothermal implicit none public - + contains !-------------------------------------------------------------------------------------------------- -!> @brief allocates all neccessary fields, reads information from material configuration file +!> @brief allocates fields, reads information from material configuration file !-------------------------------------------------------------------------------------------------- subroutine thermal_isothermal_init - - integer :: h,NofMyHomog - write(6,'(/,a)') ' <<<+- thermal_'//THERMAL_isothermal_label//' init -+>>>'; flush(6) + integer :: h,Nmaterialpoints - do h = 1, size(config_homogenization) + print'(/,a)', ' <<<+- thermal_isothermal init -+>>>'; flush(6) + + do h = 1, size(material_name_homogenization) if (thermal_type(h) /= THERMAL_isothermal_ID) cycle - NofMyHomog = count(material_homogenizationAt == h) + Nmaterialpoints = count(material_homogenizationAt == h) thermalState(h)%sizeState = 0 - allocate(thermalState(h)%state0 (0,NofMyHomog)) - allocate(thermalState(h)%subState0(0,NofMyHomog)) - allocate(thermalState(h)%state (0,NofMyHomog)) - + allocate(thermalState(h)%state0 (0,Nmaterialpoints)) + allocate(thermalState(h)%subState0(0,Nmaterialpoints)) + allocate(thermalState(h)%state (0,Nmaterialpoints)) + deallocate(temperature (h)%p) allocate (temperature (h)%p(1), source=thermal_initialT(h)) deallocate(temperatureRate(h)%p) diff --git a/src/zlib.f90 b/src/zlib.f90 new file mode 100644 index 000000000..21428255c --- /dev/null +++ b/src/zlib.f90 @@ -0,0 +1,44 @@ +!-------------------------------------------------------------------------------------------------- +!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH +!> @brief Inflate zlib compressed data +!-------------------------------------------------------------------------------------------------- +module zlib + use prec + + implicit none + private + + public :: & + zlib_inflate + + interface + + subroutine inflate_C(s_deflated,s_inflated,deflated,inflated) bind(C) + use, intrinsic :: ISO_C_Binding, only: & + C_SIGNED_CHAR, C_INT64_T + + integer(C_INT64_T), intent(in) :: s_deflated,s_inflated + integer(C_SIGNED_CHAR), dimension(s_deflated), intent(in) :: deflated + integer(C_SIGNED_CHAR), dimension(s_inflated), intent(out) :: inflated + + end subroutine inflate_C + + end interface + +contains + +!-------------------------------------------------------------------------------------------------- +!> @brief Inflate byte-wise representation +!-------------------------------------------------------------------------------------------------- +function zlib_inflate(deflated,size_inflated) + + integer(C_SIGNED_CHAR), dimension(:), intent(in) :: deflated + integer(pI64), intent(in) :: size_inflated + + integer(C_SIGNED_CHAR), dimension(size_inflated) :: zlib_inflate + + call inflate_C(size(deflated,kind=C_INT64_T),int(size_inflated,C_INT64_T),deflated,zlib_inflate) + +end function zlib_inflate + +end module zlib