Merge branch 'Fortran-cleaning' into 'development'

Fortran cleaning

See merge request damask/DAMASK!390
This commit is contained in:
Sharan Roongta 2021-05-29 09:53:38 +00:00
commit 99f78de9bf
23 changed files with 490 additions and 496 deletions

View File

@ -1,3 +0,0 @@
residualStiffness 0.001
charLength 0.02
petsc_options -mech_snes_type newtonls -mech_ksp_type fgmres -mech_pc_type ml -mech_ksp_monitor

View File

@ -177,11 +177,6 @@ subroutine CPFEM_general(mode, ffn, ffn1, temperature_inp, dt, elFE, ip, cauchyS
if (iand(mode, CPFEM_AGERESULTS) /= 0_pInt) call CPFEM_forward if (iand(mode, CPFEM_AGERESULTS) /= 0_pInt) call CPFEM_forward
!chosenThermal1: select case (thermal_type(material_homogenizationAt(elCP)))
! case (THERMAL_conduction_ID) chosenThermal1
! temperature(material_homogenizationAt(elCP))%p(material_homogenizationMemberAt(ip,elCP)) = &
! temperature_inp
!end select chosenThermal1
homogenization_F0(1:3,1:3,ce) = ffn homogenization_F0(1:3,1:3,ce) = ffn
homogenization_F(1:3,1:3,ce) = ffn1 homogenization_F(1:3,1:3,ce) = ffn1

View File

@ -20,6 +20,9 @@ module IO
character, parameter, public :: & character, parameter, public :: &
IO_EOL = new_line('DAMASK'), & !< end of line character IO_EOL = new_line('DAMASK'), & !< end of line character
IO_COMMENT = '#' IO_COMMENT = '#'
character, parameter :: &
CR = achar(13), &
LF = IO_EOL
character(len=*), parameter :: & character(len=*), parameter :: &
IO_DIVIDER = '───────────────────'//& IO_DIVIDER = '───────────────────'//&
'───────────────────'//& '───────────────────'//&
@ -112,8 +115,8 @@ end function IO_readlines
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Read whole file. !> @brief Read ASCII file.
!> @details ensures that the string ends with a new line (expected UNIX behavior) !> @details Proper Unix style (LF line endings and LF at EOF) is ensured.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
function IO_read(fileName) result(fileContent) function IO_read(fileName) result(fileContent)
@ -124,7 +127,6 @@ function IO_read(fileName) result(fileContent)
fileLength, & fileLength, &
fileUnit, & fileUnit, &
myStat myStat
character, parameter :: CR = achar(13)
inquire(file = fileName, size=fileLength) inquire(file = fileName, size=fileLength)
@ -141,16 +143,8 @@ function IO_read(fileName) result(fileContent)
if(myStat /= 0) call IO_error(102,ext_msg=trim(fileName)) if(myStat /= 0) call IO_error(102,ext_msg=trim(fileName))
close(fileUnit) close(fileUnit)
foundCRLF: if (scan(fileContent(:index(fileContent,IO_EOL)),CR) /= 0) then if (scan(fileContent(:index(fileContent,LF)),CR//LF) /= 0) fileContent = CRLF2LF(fileContent)
CRLF2LF: block if(fileContent(fileLength:fileLength) /= IO_EOL) fileContent = fileContent//IO_EOL ! ensure EOL@EOF
integer :: c
do c=1, len(fileContent)
if (fileContent(c:c) == CR) fileContent(c:c) = ' '
enddo
end block CRLF2LF
endif foundCRLF
if(fileContent(fileLength:fileLength) /= IO_EOL) fileContent = fileContent//IO_EOL ! ensure EOL@EOF
end function IO_read end function IO_read
@ -633,10 +627,36 @@ subroutine IO_warning(warning_ID,el,ip,g,ext_msg)
end subroutine IO_warning end subroutine IO_warning
!--------------------------------------------------------------------------------------------------
!> @brief Convert Windows (CRLF) to Unix (LF) line endings.
!--------------------------------------------------------------------------------------------------
pure function CRLF2LF(string)
character(len=*), intent(in) :: string
character(len=:), allocatable :: CRLF2LF
integer :: c,n
allocate(character(len=len_trim(string))::CRLF2LF)
if (len(CRLF2LF) == 0) return
n = 0
do c=1, len_trim(string)
CRLF2LF(c-n:c-n) = string(c:c)
if (c == len_trim(string)) exit
if (string(c:c+1) == CR//LF) n = n + 1
enddo
CRLF2LF = CRLF2LF(:c-n)
end function
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Check correctness of some IO functions. !> @brief Check correctness of some IO functions.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine selfTest subroutine selfTest()
integer, dimension(:), allocatable :: chunkPos integer, dimension(:), allocatable :: chunkPos
character(len=:), allocatable :: str character(len=:), allocatable :: str
@ -671,6 +691,15 @@ subroutine selfTest
chunkPos = IO_stringPos(str) chunkPos = IO_stringPos(str)
if(3112019 /= IO_intValue(str,chunkPos,2)) error stop 'IO_intValue' if(3112019 /= IO_intValue(str,chunkPos,2)) error stop 'IO_intValue'
if (CRLF2LF('') /= '') error stop 'CRLF2LF/0'
if (CRLF2LF(LF) /= LF) error stop 'CRLF2LF/1a'
if (CRLF2LF(CR//LF) /= LF) error stop 'CRLF2LF/1b'
if (CRLF2LF(' '//LF) /= ' '//LF) error stop 'CRLF2LF/2a'
if (CRLF2LF(' '//CR//LF) /= ' '//LF) error stop 'CRLF2LF/2b'
if (CRLF2LF('A'//CR//LF//'B') /= 'A'//LF//'B') error stop 'CRLF2LF/3'
if (CRLF2LF('A'//CR//LF//'B'//CR//LF) /= &
'A'//LF//'B'//LF) error stop 'CRLF2LF/4'
if(.not. IO_isBlank(' ')) error stop 'IO_isBlank/1' if(.not. IO_isBlank(' ')) error stop 'IO_isBlank/1'
if(.not. IO_isBlank(' #isBlank')) error stop 'IO_isBlank/2' if(.not. IO_isBlank(' #isBlank')) error stop 'IO_isBlank/2'
if( IO_isBlank(' i#s')) error stop 'IO_isBlank/3' if( IO_isBlank(' i#s')) error stop 'IO_isBlank/3'

View File

@ -92,7 +92,7 @@ end subroutine parse_debug
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief Deallocate config_material. !> @brief Deallocate config_material.
!ToDo: deallocation of numerics debug (optional) !ToDo: deallocation of numerics and debug (optional)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine config_deallocate subroutine config_deallocate

View File

@ -9,20 +9,20 @@ module discretization
implicit none implicit none
private private
integer, public, protected :: & integer, public, protected :: &
discretization_nIPs, & discretization_nIPs, &
discretization_Nelems discretization_Nelems
integer, public, protected, dimension(:), allocatable :: &
discretization_materialAt
real(pReal), public, protected, dimension(:,:), allocatable :: & integer, public, protected, dimension(:), allocatable :: &
discretization_materialAt !ToDo: discretization_ID_material
real(pReal), public, protected, dimension(:,:), allocatable :: &
discretization_IPcoords0, & discretization_IPcoords0, &
discretization_IPcoords, & discretization_IPcoords, &
discretization_NodeCoords0, & discretization_NodeCoords0, &
discretization_NodeCoords discretization_NodeCoords
integer :: & integer :: &
discretization_sharedNodesBegin discretization_sharedNodesBegin
@ -33,7 +33,7 @@ module discretization
discretization_setNodeCoords discretization_setNodeCoords
contains contains
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief stores the relevant information in globally accesible variables !> @brief stores the relevant information in globally accesible variables
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
@ -54,20 +54,20 @@ subroutine discretization_init(materialAt,&
discretization_Nelems = size(materialAt,1) discretization_Nelems = size(materialAt,1)
discretization_nIPs = size(IPcoords0,2)/discretization_Nelems discretization_nIPs = size(IPcoords0,2)/discretization_Nelems
discretization_materialAt = materialAt discretization_materialAt = materialAt
discretization_IPcoords0 = IPcoords0 discretization_IPcoords0 = IPcoords0
discretization_IPcoords = IPcoords0 discretization_IPcoords = IPcoords0
discretization_NodeCoords0 = NodeCoords0 discretization_NodeCoords0 = NodeCoords0
discretization_NodeCoords = NodeCoords0 discretization_NodeCoords = NodeCoords0
if(present(sharedNodesBegin)) then if(present(sharedNodesBegin)) then
discretization_sharedNodesBegin = sharedNodesBegin discretization_sharedNodesBegin = sharedNodesBegin
else else
discretization_sharedNodesBegin = size(discretization_NodeCoords0,2) discretization_sharedNodesBegin = size(discretization_NodeCoords0,2)
endif endif
end subroutine discretization_init end subroutine discretization_init
@ -77,13 +77,13 @@ end subroutine discretization_init
subroutine discretization_results subroutine discretization_results
real(pReal), dimension(:,:), allocatable :: u real(pReal), dimension(:,:), allocatable :: u
call results_closeGroup(results_addGroup('current/geometry')) call results_closeGroup(results_addGroup('current/geometry'))
u = discretization_NodeCoords (1:3,:discretization_sharedNodesBegin) & u = discretization_NodeCoords (1:3,:discretization_sharedNodesBegin) &
- discretization_NodeCoords0(1:3,:discretization_sharedNodesBegin) - discretization_NodeCoords0(1:3,:discretization_sharedNodesBegin)
call results_writeDataset('current/geometry',u,'u_n','displacements of the nodes','m') call results_writeDataset('current/geometry',u,'u_n','displacements of the nodes','m')
u = discretization_IPcoords & u = discretization_IPcoords &
- discretization_IPcoords0 - discretization_IPcoords0
call results_writeDataset('current/geometry',u,'u_p','displacements of the materialpoints (cell centers)','m') call results_writeDataset('current/geometry',u,'u_p','displacements of the materialpoints (cell centers)','m')
@ -97,7 +97,7 @@ end subroutine discretization_results
subroutine discretization_setIPcoords(IPcoords) subroutine discretization_setIPcoords(IPcoords)
real(pReal), dimension(:,:), intent(in) :: IPcoords real(pReal), dimension(:,:), intent(in) :: IPcoords
discretization_IPcoords = IPcoords discretization_IPcoords = IPcoords
end subroutine discretization_setIPcoords end subroutine discretization_setIPcoords
@ -109,7 +109,7 @@ end subroutine discretization_setIPcoords
subroutine discretization_setNodeCoords(NodeCoords) subroutine discretization_setNodeCoords(NodeCoords)
real(pReal), dimension(:,:), intent(in) :: NodeCoords real(pReal), dimension(:,:), intent(in) :: NodeCoords
discretization_NodeCoords = NodeCoords discretization_NodeCoords = NodeCoords
end subroutine discretization_setNodeCoords end subroutine discretization_setNodeCoords

View File

@ -284,7 +284,7 @@ program DAMASK_grid
if (loadCases(l)%f_restart < 1) errorID = 839 if (loadCases(l)%f_restart < 1) errorID = 839
if (dEq(loadCases(l)%r,1.0_pReal,1.e-9_pReal)) then if (dEq(loadCases(l)%r,1.0_pReal,1.e-9_pReal)) then
print'(a)', ' r: 1 (constant step widths)' print'(a)', ' r: 1 (constant step width)'
else else
print'(a,f0.3)', ' r: ', loadCases(l)%r print'(a,f0.3)', ' r: ', loadCases(l)%r
endif endif

View File

@ -236,20 +236,20 @@ subroutine materialpoint_stressAndItsTangent(dt,FEsolving_execIP,FEsolving_execE
NiterationMPstate, & NiterationMPstate, &
ip, & !< integration point number ip, & !< integration point number
el, & !< element number el, & !< element number
myNgrains, co, ce, ho, en, ph co, ce, ho, en, ph
logical :: & logical :: &
converged converged
logical, dimension(2) :: & logical, dimension(2) :: &
doneAndHappy doneAndHappy
!$OMP PARALLEL !$OMP PARALLEL
!$OMP DO PRIVATE(ce,en,ho,myNgrains,NiterationMPstate,converged,doneAndHappy) !$OMP DO PRIVATE(ce,en,ho,NiterationMPstate,converged,doneAndHappy)
do el = FEsolving_execElem(1),FEsolving_execElem(2) do el = FEsolving_execElem(1),FEsolving_execElem(2)
ho = material_homogenizationAt(el)
myNgrains = homogenization_Nconstituents(ho)
do ip = FEsolving_execIP(1),FEsolving_execIP(2) do ip = FEsolving_execIP(1),FEsolving_execIP(2)
ce = (el-1)*discretization_nIPs + ip ce = (el-1)*discretization_nIPs + ip
en = material_homogenizationEntry(ce) en = material_homogenizationEntry(ce)
ho = material_homogenizationID(ce)
call phase_restore(ce,.false.) ! wrong name (is more a forward function) call phase_restore(ce,.false.) ! wrong name (is more a forward function)
@ -266,7 +266,7 @@ subroutine materialpoint_stressAndItsTangent(dt,FEsolving_execIP,FEsolving_execE
call mechanical_partition(homogenization_F(1:3,1:3,ce),ce) call mechanical_partition(homogenization_F(1:3,1:3,ce),ce)
converged = .true. converged = .true.
do co = 1, myNgrains do co = 1, homogenization_Nconstituents(ho)
converged = converged .and. crystallite_stress(dt,co,ip,el) converged = converged .and. crystallite_stress(dt,co,ip,el)
enddo enddo
@ -290,12 +290,12 @@ subroutine materialpoint_stressAndItsTangent(dt,FEsolving_execIP,FEsolving_execE
!$OMP DO PRIVATE(ho,ph,ce) !$OMP DO PRIVATE(ho,ph,ce)
do el = FEsolving_execElem(1),FEsolving_execElem(2) do el = FEsolving_execElem(1),FEsolving_execElem(2)
if (terminallyIll) continue if (terminallyIll) continue
ho = material_homogenizationAt(el)
do ip = FEsolving_execIP(1),FEsolving_execIP(2) do ip = FEsolving_execIP(1),FEsolving_execIP(2)
ce = (el-1)*discretization_nIPs + ip ce = (el-1)*discretization_nIPs + ip
ho = material_homogenizationID(ce)
call thermal_partition(ce) call thermal_partition(ce)
do co = 1, homogenization_Nconstituents(ho) do co = 1, homogenization_Nconstituents(ho)
ph = material_phaseAt(co,el) ph = material_phaseID(co,ce)
if (.not. thermal_stress(dt,ph,material_phaseMemberAt(co,ip,el))) then if (.not. thermal_stress(dt,ph,material_phaseMemberAt(co,ip,el))) then
if (.not. terminallyIll) & ! so first signals terminally ill... if (.not. terminallyIll) & ! so first signals terminally ill...
print*, ' Integration point ', ip,' at element ', el, ' terminally ill' print*, ' Integration point ', ip,' at element ', el, ' terminally ill'
@ -308,9 +308,9 @@ subroutine materialpoint_stressAndItsTangent(dt,FEsolving_execIP,FEsolving_execE
!$OMP DO PRIVATE(ho,ce) !$OMP DO PRIVATE(ho,ce)
elementLooping3: do el = FEsolving_execElem(1),FEsolving_execElem(2) elementLooping3: do el = FEsolving_execElem(1),FEsolving_execElem(2)
ho = material_homogenizationAt(el)
IpLooping3: do ip = FEsolving_execIP(1),FEsolving_execIP(2) IpLooping3: do ip = FEsolving_execIP(1),FEsolving_execIP(2)
ce = (el-1)*discretization_nIPs + ip ce = (el-1)*discretization_nIPs + ip
ho = material_homogenizationID(ce)
do co = 1, homogenization_Nconstituents(ho) do co = 1, homogenization_Nconstituents(ho)
call crystallite_orientations(co,ip,el) call crystallite_orientations(co,ip,el)
enddo enddo

View File

@ -39,7 +39,7 @@ module subroutine damage_init()
configHomogenization, & configHomogenization, &
configHomogenizationDamage, & configHomogenizationDamage, &
num_generic num_generic
integer :: ho,Nmaterialpoints integer :: ho,Nmembers
print'(/,a)', ' <<<+- homogenization:damage init -+>>>' print'(/,a)', ' <<<+- homogenization:damage init -+>>>'
@ -50,7 +50,8 @@ module subroutine damage_init()
allocate(current(configHomogenizations%length)) allocate(current(configHomogenizations%length))
do ho = 1, configHomogenizations%length do ho = 1, configHomogenizations%length
allocate(current(ho)%phi(count(material_homogenizationID==ho)), source=1.0_pReal) Nmembers = count(material_homogenizationID == ho)
allocate(current(ho)%phi(Nmembers), source=1.0_pReal)
configHomogenization => configHomogenizations%get(ho) configHomogenization => configHomogenizations%get(ho)
associate(prm => param(ho)) associate(prm => param(ho))
if (configHomogenization%contains('damage')) then if (configHomogenization%contains('damage')) then
@ -60,10 +61,9 @@ module subroutine damage_init()
#else #else
prm%output = configHomogenizationDamage%get_as1dString('output',defaultVal=emptyStringArray) prm%output = configHomogenizationDamage%get_as1dString('output',defaultVal=emptyStringArray)
#endif #endif
Nmaterialpoints = count(material_homogenizationAt == ho)
damageState_h(ho)%sizeState = 1 damageState_h(ho)%sizeState = 1
allocate(damageState_h(ho)%state0(1,Nmaterialpoints), source=1.0_pReal) allocate(damageState_h(ho)%state0(1,Nmembers), source=1.0_pReal)
allocate(damageState_h(ho)%state (1,Nmaterialpoints), source=1.0_pReal) allocate(damageState_h(ho)%state (1,Nmembers), source=1.0_pReal)
else else
prm%output = emptyStringArray prm%output = emptyStringArray
endif endif

View File

@ -78,7 +78,7 @@ module subroutine RGC_init(num_homogMech)
integer :: & integer :: &
ho, & ho, &
Nmaterialpoints, & Nmembers, &
sizeState, nIntFaceTot sizeState, nIntFaceTot
class (tNode), pointer :: & class (tNode), pointer :: &
@ -161,28 +161,28 @@ module subroutine RGC_init(num_homogMech)
prm%D_alpha = homogMech%get_as1dFloat('D_alpha', requiredSize=3) prm%D_alpha = homogMech%get_as1dFloat('D_alpha', requiredSize=3)
prm%a_g = homogMech%get_as1dFloat('a_g', requiredSize=3) prm%a_g = homogMech%get_as1dFloat('a_g', requiredSize=3)
Nmaterialpoints = count(material_homogenizationAt == ho) Nmembers = count(material_homogenizationID == ho)
nIntFaceTot = 3*( (prm%N_constituents(1)-1)*prm%N_constituents(2)*prm%N_constituents(3) & 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)-1)*prm%N_constituents(3) &
+ prm%N_constituents(1)*prm%N_constituents(2)*(prm%N_constituents(3)-1)) + prm%N_constituents(1)*prm%N_constituents(2)*(prm%N_constituents(3)-1))
sizeState = nIntFaceTot sizeState = nIntFaceTot
homogState(ho)%sizeState = sizeState homogState(ho)%sizeState = sizeState
allocate(homogState(ho)%state0 (sizeState,Nmaterialpoints), source=0.0_pReal) allocate(homogState(ho)%state0 (sizeState,Nmembers), source=0.0_pReal)
allocate(homogState(ho)%state (sizeState,Nmaterialpoints), source=0.0_pReal) allocate(homogState(ho)%state (sizeState,Nmembers), source=0.0_pReal)
stt%relaxationVector => homogState(ho)%state(1:nIntFaceTot,:) stt%relaxationVector => homogState(ho)%state(1:nIntFaceTot,:)
st0%relaxationVector => homogState(ho)%state0(1:nIntFaceTot,:) st0%relaxationVector => homogState(ho)%state0(1:nIntFaceTot,:)
allocate(dst%volumeDiscrepancy( Nmaterialpoints), source=0.0_pReal) allocate(dst%volumeDiscrepancy( Nmembers), source=0.0_pReal)
allocate(dst%relaxationRate_avg( Nmaterialpoints), source=0.0_pReal) allocate(dst%relaxationRate_avg( Nmembers), source=0.0_pReal)
allocate(dst%relaxationRate_max( Nmaterialpoints), source=0.0_pReal) allocate(dst%relaxationRate_max( Nmembers), source=0.0_pReal)
allocate(dst%mismatch( 3,Nmaterialpoints), source=0.0_pReal) allocate(dst%mismatch( 3,Nmembers), source=0.0_pReal)
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! assigning cluster orientations ! assigning cluster orientations
dependentState(ho)%orientation = spread(eu2om(prm%a_g*inRad),3,Nmaterialpoints) dependentState(ho)%orientation = spread(eu2om(prm%a_g*inRad),3,Nmembers)
!dst%orientation = spread(eu2om(prm%a_g*inRad),3,Nmaterialpoints) ifort version 18.0.1 crashes (for whatever reason) !dst%orientation = spread(eu2om(prm%a_g*inRad),3,Nmembers) ifort version 18.0.1 crashes (for whatever reason)
end associate end associate

View File

@ -15,7 +15,7 @@ module subroutine isostrain_init
integer :: & integer :: &
ho, & ho, &
Nmaterialpoints Nmembers
print'(/,a)', ' <<<+- homogenization:mechanical:isostrain init -+>>>' print'(/,a)', ' <<<+- homogenization:mechanical:isostrain init -+>>>'
@ -25,10 +25,10 @@ module subroutine isostrain_init
do ho = 1, size(homogenization_type) do ho = 1, size(homogenization_type)
if (homogenization_type(ho) /= HOMOGENIZATION_ISOSTRAIN_ID) cycle if (homogenization_type(ho) /= HOMOGENIZATION_ISOSTRAIN_ID) cycle
Nmaterialpoints = count(material_homogenizationAt == ho) Nmembers = count(material_homogenizationID == ho)
homogState(ho)%sizeState = 0 homogState(ho)%sizeState = 0
allocate(homogState(ho)%state0(0,Nmaterialpoints)) allocate(homogState(ho)%state0(0,Nmembers))
allocate(homogState(ho)%state (0,Nmaterialpoints)) allocate(homogState(ho)%state (0,Nmembers))
enddo enddo

View File

@ -15,7 +15,7 @@ module subroutine pass_init
integer :: & integer :: &
ho, & ho, &
Nmaterialpoints Nmembers
print'(/,a)', ' <<<+- homogenization:mechanical:pass init -+>>>' print'(/,a)', ' <<<+- homogenization:mechanical:pass init -+>>>'
@ -28,10 +28,10 @@ module subroutine pass_init
if(homogenization_Nconstituents(ho) /= 1) & if(homogenization_Nconstituents(ho) /= 1) &
call IO_error(211,ext_msg='N_constituents (pass)') call IO_error(211,ext_msg='N_constituents (pass)')
Nmaterialpoints = count(material_homogenizationAt == ho) Nmembers = count(material_homogenizationID == ho)
homogState(ho)%sizeState = 0 homogState(ho)%sizeState = 0
allocate(homogState(ho)%state0(0,Nmaterialpoints)) allocate(homogState(ho)%state0(0,Nmembers))
allocate(homogState(ho)%state (0,Nmaterialpoints)) allocate(homogState(ho)%state (0,Nmembers))
enddo enddo

View File

@ -769,67 +769,67 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,structure) resul
integer, dimension(BCC_NSLIP,BCC_NSLIP), parameter :: & integer, dimension(BCC_NSLIP,BCC_NSLIP), parameter :: &
BCC_INTERACTIONSLIPSLIP = reshape( [& BCC_INTERACTIONSLIPSLIP = reshape( [&
1, 3, 6, 6, 7, 5, 4, 2, 4, 2, 7, 5, 18, 18, 11, 8, 9, 13, 17, 14, 13, 9, 17, 14, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 28, 28, 25, 28, 28, 28, 25, &! -----> acting (forest) 1, 3, 6, 6, 7, 5, 4, 2, 4, 2, 7, 5, 18,18,11, 8, 9,13,17,14,13, 9,17,14, 28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,28,28,25,28,28,28,25, &! -----> acting (forest)
3, 1, 6, 6, 4, 2, 7, 5, 7, 5, 4, 2, 18, 18, 8, 11, 13, 9, 14, 17, 9, 13, 14, 17, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 28, 25, 28, &! | 3, 1, 6, 6, 4, 2, 7, 5, 7, 5, 4, 2, 18,18, 8,11,13, 9,14,17, 9,13,14,17, 25,28,28,28,28,25,28,28,25,28,28,28,28,25,28,28,28,28,25,28,28,28,25,28, &! |
6, 6, 1, 3, 5, 7, 2, 4, 5, 7, 2, 4, 11, 8, 18, 18, 17, 14, 9, 13, 17, 14, 13, 9, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 25, 28, 28, 28, 25, 28, 28, &! | 6, 6, 1, 3, 5, 7, 2, 4, 5, 7, 2, 4, 11, 8,18,18,17,14, 9,13,17,14,13, 9, 28,28,28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,25,28,28,28,25,28,28, &! |
6, 6, 3, 1, 2, 4, 5, 7, 2, 4, 5, 7, 8, 11, 18, 18, 14, 17, 13, 9, 14, 17, 9, 13, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, &! v 6, 6, 3, 1, 2, 4, 5, 7, 2, 4, 5, 7, 8,11,18,18,14,17,13, 9,14,17, 9,13, 28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,25,25,28,28,28,25,28,28,28, &! v
7, 5, 4, 2, 1, 3, 6, 6, 2, 4, 7, 5, 9, 17, 13, 14, 18, 11, 18, 8, 13, 17, 9, 14, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, &! reacting (primary) 7, 5, 4, 2, 1, 3, 6, 6, 2, 4, 7, 5, 9,17,13,14,18,11,18, 8,13,17, 9,14, 28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,25,25,28,28,28,25,28,28,28, &! reacting (primary)
4, 2, 7, 5, 3, 1, 6, 6, 5, 7, 4, 2, 13, 14, 9, 17, 18, 8, 18, 11, 9, 14, 13, 17, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 28, 25, 28, & 4, 2, 7, 5, 3, 1, 6, 6, 5, 7, 4, 2, 13,14, 9,17,18, 8,18,11, 9,14,13,17, 25,28,28,28,28,25,28,28,25,28,28,28,28,25,28,28,28,28,25,28,28,28,25,28, &
5, 7, 2, 4, 6, 6, 1, 3, 7, 5, 2, 4, 17, 9, 14, 13, 11, 18, 8, 18, 17, 13, 14, 9, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 25, 28, 28, 28, 25, 28, 28, & 5, 7, 2, 4, 6, 6, 1, 3, 7, 5, 2, 4, 17, 9,14,13,11,18, 8,18,17,13,14, 9, 28,28,28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,25,28,28,28,25,28,28, &
2, 4, 5, 7, 6, 6, 3, 1, 4, 2, 5, 7, 14, 13, 17, 9, 8, 18, 11, 18, 14, 9, 17, 13, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 28, 28, 25, 28, 28, 28, 25, & 2, 4, 5, 7, 6, 6, 3, 1, 4, 2, 5, 7, 14,13,17, 9, 8,18,11,18,14, 9,17,13, 28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,28,28,25,28,28,28,25, &
5, 7, 4, 2, 2, 4, 7, 5, 1, 3, 6, 6, 9, 17, 14, 13, 13, 17, 14, 9, 18, 11, 8, 18, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, & 5, 7, 4, 2, 2, 4, 7, 5, 1, 3, 6, 6, 9,17,14,13,13,17,14, 9,18,11, 8,18, 28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,25,25,28,28,28,25,28,28,28, &
2, 4, 7, 5, 5, 7, 4, 2, 3, 1, 6, 6, 13, 14, 17, 9, 9, 14, 17, 13, 18, 8, 11, 18, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 28, 28, 25, 28, 28, 28, 25, & 2, 4, 7, 5, 5, 7, 4, 2, 3, 1, 6, 6, 13,14,17, 9, 9,14,17,13,18, 8,11,18, 28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,28,28,28,28,25,28,28,28,25, &
7, 5, 2, 4, 7, 5, 2, 4, 6, 6, 1, 3, 17, 9, 13, 14, 17, 13, 9, 14, 11, 18, 18, 8, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 25, 28, 28, 28, 25, 28, 28, & 7, 5, 2, 4, 7, 5, 2, 4, 6, 6, 1, 3, 17, 9,13,14,17,13, 9,14,11,18,18, 8, 28,28,28,25,28,28,25,28,28,28,28,25,28,28,25,28,28,25,28,28,28,25,28,28, &
4, 2, 5, 7, 4, 2, 5, 7, 6, 6, 3, 1, 14, 13, 9, 17, 14, 9, 13, 17, 8, 18, 18, 11, 25, 28, 28, 28, 28, 25, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 28, 28, 25, 28, 28, 28, 25, 28, & 4, 2, 5, 7, 4, 2, 5, 7, 6, 6, 3, 1, 14,13, 9,17,14, 9,13,17, 8,18,18,11, 25,28,28,28,28,25,28,28,25,28,28,28,28,25,28,28,28,28,25,28,28,28,25,28, &
!
19, 19, 10, 8, 9, 12, 16, 15, 9, 12, 16, 15, 1, 20, 24, 24, 23, 22, 21, 2, 23, 22, 2, 21, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 26, 28, 28, 28, 26, 28, 28, 28, & 19,19,10, 8, 9,12,16,15, 9,12,16,15, 1,20,24,24,23,22,21, 2,23,22, 2,21, 28,28,26,28,28,28,28,26,28,28,26,28,28,28,28,26,26,28,28,28,26,28,28,28, &
19, 19, 8, 10, 16, 15, 9, 12, 16, 15, 9, 12, 20, 1, 24, 24, 22, 23, 2, 21, 22, 23, 21, 2, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 26, 28, 28, & 19,19, 8,10,16,15, 9,12,16,15, 9,12, 20, 1,24,24,22,23, 2,21,22,23,21, 2, 28,28,28,26,28,28,26,28,28,28,28,26,28,28,26,28,28,26,28,28,28,26,28,28, &
10, 8, 19, 19, 12, 9, 15, 16, 15, 16, 12, 9, 24, 24, 1, 20, 21, 2, 23, 22, 2, 21, 23, 22, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 26, 28, & 10, 8,19,19,12, 9,15,16,15,16,12, 9, 24,24, 1,20,21, 2,23,22, 2,21,23,22, 26,28,28,28,28,26,28,28,26,28,28,28,28,26,28,28,28,28,26,28,28,28,26,28, &
8, 10, 19, 19, 15, 16, 12, 9, 12, 9, 15, 16, 24, 24, 20, 1, 2, 21, 22, 23, 21, 2, 22, 23, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 28, 26, & 8,10,19,19,15,16,12, 9,12, 9,15,16, 24,24,20, 1, 2,21,22,23,21, 2,22,23, 28,26,28,28,26,28,28,28,28,26,28,28,26,28,28,28,28,28,28,26,28,28,28,26, &
9, 12, 16, 15, 19, 19, 10, 8, 12, 9, 16, 15, 23, 21, 22, 2, 1, 24, 20, 24, 23, 2, 22, 21, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 28, 26, & 9,12,16,15,19,19,10, 8,12, 9,16,15, 23,21,22, 2, 1,24,20,24,23, 2,22,21, 28,26,28,28,26,28,28,28,28,26,28,28,26,28,28,28,28,28,28,26,28,28,28,26, &
12, 9, 15, 16, 10, 8, 19, 19, 16, 15, 12, 9, 21, 23, 2, 21, 24, 1, 24, 20, 2, 23, 21, 22, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 26, 28, & 12, 9,15,16,10, 8,19,19,16,15,12, 9, 21,23, 2,21,24, 1,24,20, 2,23,21,22, 26,28,28,28,28,26,28,28,26,28,28,28,28,26,28,28,28,28,26,28,28,28,26,28, &
16, 15, 9, 12, 19, 19, 8, 10, 15, 16, 9, 12, 22, 2, 23, 22, 20, 24, 1, 24, 22, 21, 23, 2, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 26, 28, 28, & 16,15, 9,12,19,19, 8,10,15,16, 9,12, 22, 2,23,22,20,24, 1,24,22,21,23, 2, 28,28,28,26,28,28,26,28,28,28,28,26,28,28,26,28,28,26,28,28,28,26,28,28, &
15, 16, 12, 9, 8, 10, 19, 19, 9, 12, 15, 16, 2, 22, 21, 23, 24, 20, 24, 1, 21, 22, 2, 23, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 26, 28, 28, 28, 26, 28, 28, 28, & 15,16,12, 9, 8,10,19,19, 9,12,15,16, 2,22,21,23,24,20,24, 1,21,22, 2,23, 28,28,26,28,28,28,28,26,28,28,26,28,28,28,28,26,26,28,28,28,26,28,28,28, &
12, 9, 16, 15, 12, 9, 16, 15, 19, 19, 10, 8, 23, 21, 2, 22, 23, 2, 21, 22, 1, 24, 24, 20, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 26, 28, & 12, 9,16,15,12, 9,16,15,19,19,10, 8, 23,21, 2,22,23, 2,21,22, 1,24,24,20, 26,28,28,28,28,26,28,28,26,28,28,28,28,26,28,28,28,28,26,28,28,28,26,28, &
9, 12, 15, 16, 16, 15, 12, 9, 10, 8, 19, 19, 21, 23, 22, 2, 2, 23, 22, 21, 24, 1, 20, 24, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 28, 26, & 9,12,15,16,16,15,12, 9,10, 8,19,19, 21,23,22, 2, 2,23,22,21,24, 1,20,24, 28,26,28,28,26,28,28,28,28,26,28,28,26,28,28,28,28,28,28,26,28,28,28,26, &
16, 15, 12, 9, 9, 12, 15, 16, 8, 10, 19, 19, 2, 22, 23, 21, 21, 22, 23, 2, 24, 20, 1, 24, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 26, 28, 28, 28, 26, 28, 28, 28, & 16,15,12, 9, 9,12,15,16, 8,10,19,19, 2,22,23,21,21,22,23, 2,24,20, 1,24, 28,28,26,28,28,28,28,26,28,28,26,28,28,28,28,26,26,28,28,28,26,28,28,28, &
15, 16, 9, 12, 15, 16, 9, 12, 19, 19, 8, 10, 22, 2, 21, 23, 22, 21, 2, 23, 20, 24, 24, 1, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 26, 28, 28, & 15,16, 9,12,15,16, 9,12,19,19, 8,10, 22, 2,21,23,22,21, 2,23,20,24,24, 1, 28,28,28,26,28,28,26,28,28,28,28,26,28,28,26,28,28,26,28,28,28,26,28,28, &
!
28, 25, 28, 28, 28, 25, 28, 28, 28, 28, 28, 25, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 1, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 27, 28, & 28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 1,28,28,28,28,27,28,28,27,28,28,28,28,27,28,28,28,28,27,28,28,28,27,28, &
25, 28, 28, 28, 28, 28, 28, 25, 28, 25, 28, 28, 28, 28, 28, 26, 26, 28, 28, 28, 28, 26, 28, 28, 28, 1, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 28, 28, 27, 28, 28, 28, 27, & 25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28, 1,28,28,27,28,28,28,28,27,28,28,27,28,28,28,28,28,28,27,28,28,28,27, &
28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 1, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 27, 28, 28, 28, 27, 28, 28, 28, & 28,28,28,25,25,28,28,28,25,28,28,28, 26,28,28,28,28,28,28,26,28,28,26,28, 28,28, 1,28,28,28,28,27,28,28,27,28,28,28,28,27,27,28,28,28,27,28,28,28, &
28, 28, 25, 28, 28, 28, 25, 28, 28, 28, 25, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 1, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 27, 28, 28, 28, 27, 28, 28, & 28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28, 1,28,28,27,28,28,28,28,27,28,28,27,28,28,27,28,28,28,27,28,28, &
25, 28, 28, 28, 28, 28, 28, 25, 28, 25, 28, 28, 28, 28, 28, 26, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 1, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 28, 28, 27, 28, 28, 28, 27, & 25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28,27,28,28, 1,28,28,28,28,27,28,28,27,28,28,28,28,28,28,27,28,28,28,27, &
28, 25, 28, 28, 28, 25, 28, 28, 28, 28, 28, 25, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 1, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 27, 28, & 28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 27,28,28,28,28, 1,28,28,27,28,28,28,28,27,28,28,28,28,27,28,28,28,27,28, &
28, 28, 25, 28, 28, 28, 25, 28, 28, 28, 25, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 1, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 27, 28, 28, 28, 27, 28, 28, & 28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28,27,28,28, 1,28,28,28,28,27,28,28,27,28,28,27,28,28,28,27,28,28, &
28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 1, 28, 28, 27, 28, 28, 28, 28, 27, 27, 28, 28, 28, 27, 28, 28, 28, & 28,28,28,25,25,28,28,28,25,28,28,28, 26,28,28,28,28,28,28,26,28,28,26,28, 28,28,27,28,28,28,28, 1,28,28,27,28,28,28,28,27,27,28,28,28,27,28,28,28, &
28, 25, 28, 28, 28, 25, 28, 28, 28, 28, 28, 25, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 1, 28, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 27, 28, & 28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 27,28,28,28,28,27,28,28, 1,28,28,28,28,27,28,28,28,28,27,28,28,28,27,28, &
25, 28, 28, 28, 28, 28, 28, 25, 28, 25, 28, 28, 28, 28, 28, 26, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 1, 28, 28, 27, 28, 28, 28, 28, 28, 28, 27, 28, 28, 28, 27, & 25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28,27,28,28,27,28,28,28,28, 1,28,28,27,28,28,28,28,28,28,27,28,28,28,27, &
28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 1, 28, 28, 28, 28, 27, 27, 28, 28, 28, 27, 28, 28, 28, & 28,28,28,25,25,28,28,28,25,28,28,28, 26,28,28,28,28,28,28,26,28,28,26,28, 28,28,27,28,28,28,28,27,28,28, 1,28,28,28,28,27,27,28,28,28,27,28,28,28, &
28, 28, 25, 28, 28, 28, 25, 28, 28, 28, 25, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 1, 28, 28, 27, 28, 28, 27, 28, 28, 28, 27, 28, 28, & 28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28,27,28,28,27,28,28,28,28, 1,28,28,27,28,28,27,28,28,28,27,28,28, &
25, 28, 28, 28, 28, 28, 28, 25, 28, 25, 28, 28, 28, 28, 28, 26, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 1, 28, 28, 28, 28, 28, 28, 27, 28, 28, 28, 27, & 25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28,27,28,28,27,28,28,28,28,27,28,28, 1,28,28,28,28,28,28,27,28,28,28,27, &
28, 25, 28, 28, 28, 25, 28, 28, 28, 28, 28, 25, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 1, 28, 28, 28, 28, 27, 28, 28, 28, 27, 28, & 28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 27,28,28,28,28,27,28,28,27,28,28,28,28, 1,28,28,28,28,27,28,28,28,27,28, &
28, 28, 25, 28, 28, 28, 25, 28, 28, 28, 25, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 1, 28, 28, 27, 28, 28, 28, 27, 28, 28, & 28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28,27,28,28,27,28,28,28,28,27,28,28, 1,28,28,27,28,28,28,27,28,28, &
28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 1, 27, 28, 28, 28, 27, 28, 28, 28, & 28,28,28,25,25,28,28,28,25,28,28,28, 26,28,28,28,28,28,28,26,28,28,26,28, 28,28,27,28,28,28,28,27,28,28,27,28,28,28,28, 1,27,28,28,28,27,28,28,28, &
28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 1, 28, 28, 28, 27, 28, 28, 28, & 28,28,28,25,25,28,28,28,25,28,28,28, 26,28,28,28,28,28,28,26,28,28,26,28, 28,28,27,28,28,28,28,27,28,28,27,28,28,28,28,27, 1,28,28,28,27,28,28,28, &
28, 28, 25, 28, 28, 28, 25, 28, 28, 28, 25, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 1, 28, 28, 28, 27, 28, 28, & 28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28,27,28,28,27,28,28,28,28,27,28,28,27,28,28, 1,28,28,28,27,28,28, &
28, 25, 28, 28, 28, 25, 28, 28, 28, 28, 28, 25, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 28, 1, 28, 28, 28, 27, 28, & 28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 27,28,28,28,28,27,28,28,27,28,28,28,28,27,28,28,28,28, 1,28,28,28,27,28, &
25, 28, 28, 28, 28, 28, 28, 25, 28, 25, 28, 28, 28, 28, 28, 26, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 28, 28, 1, 28, 28, 28, 27, & 25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28,27,28,28,27,28,28,28,28,27,28,28,27,28,28,28,28,28,28, 1,28,28,28,27, &
28, 28, 28, 25, 25, 28, 28, 28, 25, 28, 28, 28, 26, 28, 28, 28, 28, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 27, 28, 28, 28, 1, 28, 28, 28, & 28,28,28,25,25,28,28,28,25,28,28,28, 26,28,28,28,28,28,28,26,28,28,26,28, 28,28,27,28,28,28,28,27,28,28,27,28,28,28,28,27,27,28,28,28, 1,28,28,28, &
28, 28, 25, 28, 28, 28, 25, 28, 28, 28, 25, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 27, 28, 28, 28, 1, 28, 28, & 28,28,25,28,28,28,25,28,28,28,25,28, 28,26,28,28,28,28,26,28,28,28,28,26, 28,28,28,27,28,28,27,28,28,28,28,27,28,28,27,28,28,27,28,28,28, 1,28,28, &
28, 25, 28, 28, 28, 25, 28, 28, 28, 28, 28, 25, 28, 28, 26, 28, 28, 26, 28, 28, 26, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 28, 1, 28, & 28,25,28,28,28,25,28,28,28,28,28,25, 28,28,26,28,28,26,28,28,26,28,28,28, 27,28,28,28,28,27,28,28,27,28,28,28,28,27,28,28,28,28,27,28,28,28, 1,28, &
25, 28, 28, 28, 28, 28, 28, 25, 28, 25, 28, 28, 28, 28, 28, 26, 26, 28, 28, 28, 28, 26, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 27, 28, 28, 27, 28, 28, 28, 28, 28, 28, 27, 28, 28, 28, 1 & 25,28,28,28,28,28,28,25,28,25,28,28, 28,28,28,26,26,28,28,28,28,26,28,28, 28,27,28,28,27,28,28,28,28,27,28,28,27,28,28,28,28,28,28,27,28,28,28, 1 &
],shape(BCC_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for bcc / Madec 2017 (https://doi.org/10.1016/j.actamat.2016.12.040) ],shape(BCC_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for bcc / Madec 2017 (https://doi.org/10.1016/j.actamat.2016.12.040)
!< 1: self interaction --> alpha 0 !< 1: self interaction --> alpha 0
!< 2: collinear interaction --> alpha 1 !< 2: collinear interaction --> alpha 1
!< 3: coplanar interaction --> alpha 2 !< 3: coplanar interaction --> alpha 2
!< 4-7: other coefficients !< 4-7: other coefficients
!< 8: {110}-{112}, collinear and perpendicular planes --> alpha 6 !< 8: {110}-{112} collinear and perpendicular planes --> alpha 6
!< 9: {110}-{112}, just collinear --> alpha 7 !< 9: {110}-{112} collinear --> alpha 7
!< 10-24: other coefficients !< 10-24: other coefficients
!< 25: {110}-{123}, just collinear !< 25: {110}-{123} collinear
!< 26: {112}-{123}, just collinear !< 26: {112}-{123} collinear
!< 27: {123}-{123}, just collinear !< 27: {123}-{123} collinear
!< 28: other interaction !< 28: other interaction
integer, dimension(HEX_NSLIP,HEX_NSLIP), parameter :: & integer, dimension(HEX_NSLIP,HEX_NSLIP), parameter :: &
@ -837,22 +837,22 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,structure) resul
1, 2, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! -----> acting (forest) 1, 2, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! -----> acting (forest)
2, 1, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! | 2, 1, 2, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! |
2, 2, 1, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! | 2, 2, 1, 3, 3, 3, 7, 7, 7, 13,13,13,13,13,13, 21,21,21,21,21,21,21,21,21,21,21,21, 31,31,31,31,31,31, & ! |
! ! v ! v
6, 6, 6, 4, 5, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & ! reacting (primary) 6, 6, 6, 4, 5, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & ! reacting (primary)
6, 6, 6, 5, 4, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & 6, 6, 6, 5, 4, 5, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, &
6, 6, 6, 5, 5, 4, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, & 6, 6, 6, 5, 5, 4, 8, 8, 8, 14,14,14,14,14,14, 22,22,22,22,22,22,22,22,22,22,22,22, 32,32,32,32,32,32, &
!
12,12,12, 11,11,11, 9,10,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & 12,12,12, 11,11,11, 9,10,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, &
12,12,12, 11,11,11, 10, 9,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & 12,12,12, 11,11,11, 10, 9,10, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, &
12,12,12, 11,11,11, 10,10, 9, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, & 12,12,12, 11,11,11, 10,10, 9, 15,15,15,15,15,15, 23,23,23,23,23,23,23,23,23,23,23,23, 33,33,33,33,33,33, &
!
20,20,20, 19,19,19, 18,18,18, 16,17,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & 20,20,20, 19,19,19, 18,18,18, 16,17,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,16,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & 20,20,20, 19,19,19, 18,18,18, 17,16,17,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,16,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & 20,20,20, 19,19,19, 18,18,18, 17,17,16,17,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,17,16,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & 20,20,20, 19,19,19, 18,18,18, 17,17,17,16,17,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,17,17,16,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & 20,20,20, 19,19,19, 18,18,18, 17,17,17,17,16,17, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
20,20,20, 19,19,19, 18,18,18, 17,17,17,17,17,16, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, & 20,20,20, 19,19,19, 18,18,18, 17,17,17,17,17,16, 24,24,24,24,24,24,24,24,24,24,24,24, 34,34,34,34,34,34, &
!
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 25,26,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 25,26,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,25,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,25,26,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,25,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, & 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,25,26,26,26,26,26,26,26,26,26, 35,35,35,35,35,35, &
@ -865,82 +865,82 @@ function lattice_interaction_SlipBySlip(Nslip,interactionValues,structure) resul
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,25,26,26, 35,35,35,35,35,35, & 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,25,26,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,25,26, 35,35,35,35,35,35, & 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,25,26, 35,35,35,35,35,35, &
30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,26,25, 35,35,35,35,35,35, & 30,30,30, 29,29,29, 28,28,28, 27,27,27,27,27,27, 26,26,26,26,26,26,26,26,26,26,26,25, 35,35,35,35,35,35, &
!
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 36,37,37,37,37,37, & 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 36,37,37,37,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,36,37,37,37,37, & 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,36,37,37,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,36,37,37,37, & 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,36,37,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,36,37,37, & 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,36,37,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,36,37, & 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,36,37, &
42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,37,36 & 42,42,42, 41,41,41, 40,40,40, 39,39,39,39,39,39, 38,38,38,38,38,38,38,38,38,38,38,38, 37,37,37,37,37,36 &
],shape(HEX_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for hex (onion peel naming scheme) ],shape(HEX_INTERACTIONSLIPSLIP)) !< Slip-slip interaction types for hex (onion peel naming scheme)
integer, dimension(BCT_NSLIP,BCT_NSLIP), parameter :: & integer, dimension(BCT_NSLIP,BCT_NSLIP), parameter :: &
BCT_INTERACTIONSLIPSLIP = reshape( [& BCT_INTERACTIONSLIPSLIP = reshape( [&
1, 2, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & ! -----> acting 1, 2, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & ! -----> acting
2, 1, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & ! | 2, 1, 3, 3, 7, 7, 13, 13, 13, 13, 21, 21, 31, 31, 31, 31, 43, 43, 57, 57, 73, 73, 73, 73, 91, 91, 91, 91, 91, 91, 91, 91, 111, 111, 111, 111, 133,133,133,133,133,133,133,133, 157,157,157,157,157,157,157,157, & ! |
! | ! |
6, 6, 4, 5, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & ! v 6, 6, 4, 5, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & ! v
6, 6, 5, 4, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & ! reacting 6, 6, 5, 4, 8, 8, 14, 14, 14, 14, 22, 22, 32, 32, 32, 32, 44, 44, 58, 58, 74, 74, 74, 74, 92, 92, 92, 92, 92, 92, 92, 92, 112, 112, 112, 112, 134,134,134,134,134,134,134,134, 158,158,158,158,158,158,158,158, & ! reacting
!
12, 12, 11, 11, 9, 10, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, & 12, 12, 11, 11, 9, 10, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, &
12, 12, 11, 11, 10, 9, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, & 12, 12, 11, 11, 10, 9, 15, 15, 15, 15, 23, 23, 33, 33, 33, 33, 45, 45, 59, 59, 75, 75, 75, 75, 93, 93, 93, 93, 93, 93, 93, 93, 113, 113, 113, 113, 135,135,135,135,135,135,135,135, 159,159,159,159,159,159,159,159, &
!
20, 20, 19, 19, 18, 18, 16, 17, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & 20, 20, 19, 19, 18, 18, 16, 17, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, &
20, 20, 19, 19, 18, 18, 17, 16, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & 20, 20, 19, 19, 18, 18, 17, 16, 17, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, &
20, 20, 19, 19, 18, 18, 17, 17, 16, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & 20, 20, 19, 19, 18, 18, 17, 17, 16, 17, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, &
20, 20, 19, 19, 18, 18, 17, 17, 17, 16, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, & 20, 20, 19, 19, 18, 18, 17, 17, 17, 16, 24, 24, 34, 34, 34, 34, 46, 46, 60, 60, 76, 76, 76, 76, 94, 94, 94, 94, 94, 94, 94, 94, 114, 114, 114, 114, 136,136,136,136,136,136,136,136, 160,160,160,160,160,160,160,160, &
!
30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 25, 26, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, & 30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 25, 26, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, &
30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 26, 25, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, & 30, 30, 29, 29, 28, 28, 27, 27, 27, 27, 26, 25, 35, 35, 35, 35, 47, 47, 61, 61, 77, 77, 77, 77, 95, 95, 95, 95, 95, 95, 95, 95, 115, 115, 115, 115, 137,137,137,137,137,137,137,137, 161,161,161,161,161,161,161,161, &
!
42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 36, 37, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 36, 37, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, &
42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 36, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 36, 37, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, &
42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 36, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 36, 37, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, &
42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 37, 36, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, & 42, 42, 41, 41, 40, 40, 39, 39, 39, 39, 38, 38, 37, 37, 37, 36, 48, 48, 62, 62, 78, 78, 78, 78, 96, 96, 96, 96, 96, 96, 96, 96, 116, 116, 116, 116, 138,138,138,138,138,138,138,138, 162,162,162,162,162,162,162,162, &
!
56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 49, 50, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, & 56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 49, 50, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, &
56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 50, 49, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, & 56, 56, 55, 55, 54, 54, 53, 53, 53, 53, 52, 52, 51, 51, 51, 51, 50, 49, 63, 63, 79, 79, 79, 79, 97, 97, 97, 97, 97, 97, 97, 97, 117, 117, 117, 117, 139,139,139,139,139,139,139,139, 163,163,163,163,163,163,163,163, &
!
72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 64, 65, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, & 72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 64, 65, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, &
72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 65, 64, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, & 72, 72, 71, 71, 70, 70, 69, 69, 69, 69, 68, 68, 67, 67, 67, 67, 66, 66, 65, 64, 80, 80, 80, 80, 98, 98, 98, 98, 98, 98, 98, 98, 118, 118, 118, 118, 140,140,140,140,140,140,140,140, 164,164,164,164,164,164,164,164, &
!
90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 81, 82, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 81, 82, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, &
90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 81, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 81, 82, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, &
90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 81, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 81, 82, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, &
90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 82, 81, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, & 90, 90, 89, 89, 88, 88, 87, 87, 87, 87, 86, 86, 85, 85, 85, 85, 84, 84, 83, 83, 82, 82, 82, 81, 99, 99, 99, 99, 99, 99, 99, 99, 119, 119, 119, 119, 141,141,141,141,141,141,141,141, 165,165,165,165,165,165,165,165, &
!
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 100,101,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 100,101,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,100,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,100,101,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,100,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,100,101,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,100,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,100,101,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,100,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,100,101,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,100,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,100,101,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,100,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,100,101, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,101,100, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, & 110,110, 109,109, 108,108, 107,107,107,107, 106,106, 105,105,105,105, 104,104, 103,103, 102,102,102,102, 101,101,101,101,101,101,101,100, 120, 120, 120, 120, 142,142,142,142,142,142,142,142, 166,166,166,166,166,166,166,166, &
!
132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, &
132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 121, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 121, 122, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, &
132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 121, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 121, 122, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, &
132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 121, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, & 132,132, 131,131, 130,130, 129,129,129,129, 128,128, 127,127,127,127, 126,126, 125,125, 124,124,124,124, 123,123,123,123,123,123,123,123, 121, 122, 122, 121, 143,143,143,143,143,143,143,143, 167,167,167,167,167,167,167,167, &
!
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 144,145,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 144,145,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, &
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,144,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,144,145,145,145,145,145,145, 168,168,168,168,168,168,168,168, &
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,144,145,145,145,145,145, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,144,145,145,145,145,145, 168,168,168,168,168,168,168,168, &
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,144,145,145,145,145, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,144,145,145,145,145, 168,168,168,168,168,168,168,168, &
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,144,145,145,145, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,144,145,145,145, 168,168,168,168,168,168,168,168, &
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,144,145,145, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,144,145,145, 168,168,168,168,168,168,168,168, &
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,144,145, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,144,145, 168,168,168,168,168,168,168,168, &
156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,145,144, 168,168,168,168,168,168,168,168, & 156,156, 155,155, 154,154, 153,153,153,153, 152,152, 151,151,151,151, 150,150, 149,149, 148,148,148,148, 147,147,147,147,147,147,147,147, 146, 146, 146, 146, 145,145,145,145,145,145,145,144, 168,168,168,168,168,168,168,168, &
!
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,170, & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,170, &
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,169,170,170,170,170,170,170, & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,169,170,170,170,170,170,170, &
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,169,170,170,170,170,170, & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,169,170,170,170,170,170, &
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,169,170,170,170,170, & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,169,170,170,170,170, &
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,170,169,170,170,170, & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 170,170,170,170,169,170,170,170, &
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,169,170,170, & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,169,170,170, &
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,169,170, & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,169,170, &
182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,169 & 182,182, 181,181, 180,180, 179,179,179,179, 178,178, 177,177,177,177, 176,176, 175,175, 174,174,174,174, 173,173,173,173,173,173,173,173, 172, 172, 172, 172, 171,171,171,171,171,171,171,171, 169,170,170,170,170,170,170,169 &
],shape(BCT_INTERACTIONSLIPSLIP)) ],shape(BCT_INTERACTIONSLIPSLIP))
select case(structure) select case(structure)
@ -1021,21 +1021,21 @@ function lattice_interaction_TwinByTwin(Ntwin,interactionValues,structure) resul
2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! v 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! v
2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! reacting 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & ! reacting
2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, & 2, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 13,13,13,13,13,13, &
!
6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & 6, 6, 6, 6, 6, 6, 4, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & 6, 6, 6, 6, 6, 6, 5, 4, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & 6, 6, 6, 6, 6, 6, 5, 5, 4, 5, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & 6, 6, 6, 6, 6, 6, 5, 5, 5, 4, 5, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, & 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 14,14,14,14,14,14, &
!
12,12,12,12,12,12, 11,11,11,11,11,11, 9,10,10,10,10,10, 15,15,15,15,15,15, & 12,12,12,12,12,12, 11,11,11,11,11,11, 9,10,10,10,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10, 9,10,10,10,10, 15,15,15,15,15,15, & 12,12,12,12,12,12, 11,11,11,11,11,11, 10, 9,10,10,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10, 9,10,10,10, 15,15,15,15,15,15, & 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10, 9,10,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10, 9,10,10, 15,15,15,15,15,15, & 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10, 9,10,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10, 9,10, 15,15,15,15,15,15, & 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10, 9,10, 15,15,15,15,15,15, &
12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10,10, 9, 15,15,15,15,15,15, & 12,12,12,12,12,12, 11,11,11,11,11,11, 10,10,10,10,10, 9, 15,15,15,15,15,15, &
!
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 16,17,17,17,17,17, & 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 16,17,17,17,17,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,16,17,17,17,17, & 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,16,17,17,17,17, &
20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,16,17,17,17, & 20,20,20,20,20,20, 19,19,19,19,19,19, 18,18,18,18,18,18, 17,17,16,17,17,17, &
@ -1160,7 +1160,7 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,structure)
3,3,3,2,2,3,3,3,3,2,3,3, & 3,3,3,2,2,3,3,3,3,2,3,3, &
3,2,3,3,3,3,2,3,3,3,3,2, & 3,2,3,3,3,3,2,3,3,3,3,2, &
3,3,2,3,3,2,3,3,2,3,3,3, & 3,3,2,3,3,2,3,3,2,3,3,3, &
!
1,3,3,3,3,3,3,2,3,3,2,3, & 1,3,3,3,3,3,3,2,3,3,2,3, &
3,1,3,3,3,3,2,3,3,3,3,2, & 3,1,3,3,3,3,2,3,3,3,3,2, &
3,3,1,3,3,2,3,3,2,3,3,3, & 3,3,1,3,3,2,3,3,2,3,3,3, &
@ -1173,7 +1173,7 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,structure)
3,3,3,2,2,3,3,3,3,1,3,3, & 3,3,3,2,2,3,3,3,3,1,3,3, &
2,3,3,3,3,3,3,2,3,3,1,3, & 2,3,3,3,3,3,3,2,3,3,1,3, &
3,2,3,3,3,3,2,3,3,3,3,1, & 3,2,3,3,3,3,2,3,3,3,3,1, &
!
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
4,4,4,4,4,4,4,4,4,4,4,4, & 4,4,4,4,4,4,4,4,4,4,4,4, &
@ -1209,22 +1209,22 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,structure)
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! ----> twin (acting) 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! ----> twin (acting)
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! | 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! |
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! | 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, & ! |
! v ! v
5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & ! slip (reacting) 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & ! slip (reacting)
5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, &
5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, & 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, &
!
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, & 9, 9, 9, 9, 9, 9, 10,10,10,10,10,10, 11,11,11,11,11,11, 12,12,12,12,12,12, &
!
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, & 13,13,13,13,13,13, 14,14,14,14,14,14, 15,15,15,15,15,15, 16,16,16,16,16,16, &
!
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
@ -1237,14 +1237,13 @@ function lattice_interaction_SlipByTwin(Nslip,Ntwin,interactionValues,structure)
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, & 17,17,17,17,17,17, 18,18,18,18,18,18, 19,19,19,19,19,19, 20,20,20,20,20,20, &
!
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, & 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24, &
21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24 & 21,21,21,21,21,21, 22,22,22,22,22,22, 23,23,23,23,23,23, 24,24,24,24,24,24 &
!
],shape(HEX_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for hex ],shape(HEX_INTERACTIONSLIPTWIN)) !< Slip-twin interaction types for hex
select case(structure) select case(structure)
@ -1346,33 +1345,33 @@ function lattice_interaction_TwinBySlip(Ntwin,Nslip,interactionValues,structure)
integer, dimension(HEX_NSLIP,HEX_NTWIN), parameter :: & integer, dimension(HEX_NSLIP,HEX_NTWIN), parameter :: &
HEX_INTERACTIONTWINSLIP = reshape( [& HEX_INTERACTIONTWINSLIP = reshape( [&
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! ----> slip (acting) 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! ----> slip (acting)
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! | 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! |
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! | 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! |
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! v 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! v
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! twin (reacting) 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & ! twin (reacting)
1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, & 1, 1, 1, 5, 5, 5, 9, 9, 9, 13,13,13,13,13,13, 17,17,17,17,17,17,17,17,17,17,17,17, 21,21,21,21,21,21, &
!
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, & 2, 2, 2, 6, 6, 6, 10,10,10, 14,14,14,14,14,14, 18,18,18,18,18,18,18,18,18,18,18,18, 22,22,22,22,22,22, &
!
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, & 3, 3, 3, 7, 7, 7, 11,11,11, 15,15,15,15,15,15, 19,19,19,19,19,19,19,19,19,19,19,19, 23,23,23,23,23,23, &
!
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, & 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24, &
4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24 & 4, 4, 4, 8, 8, 8, 12,12,12, 16,16,16,16,16,16, 20,20,20,20,20,20,20,20,20,20,20,20, 24,24,24,24,24,24 &
],shape(HEX_INTERACTIONTWINSLIP)) !< Twin-slip interaction types for hex ],shape(HEX_INTERACTIONTWINSLIP)) !< Twin-slip interaction types for hex
select case(structure) select case(structure)

View File

@ -16,30 +16,33 @@ module material
implicit none implicit none
private private
type :: tRotationContainer
type(Rotation), dimension(:), allocatable :: data
end type
type(tRotationContainer), dimension(:), allocatable :: material_orientation0
integer, dimension(:), allocatable, public, protected :: & integer, dimension(:), allocatable, public, protected :: &
homogenization_Nconstituents !< number of grains in each homogenization homogenization_Nconstituents !< number of grains in each homogenization
integer, public, protected :: &
homogenization_maxNconstituents !< max number of grains in any homogenization
character(len=:), public, protected, allocatable, dimension(:) :: & character(len=:), public, protected, allocatable, dimension(:) :: &
material_name_phase, & !< name of each phase material_name_phase, & !< name of each phase
material_name_homogenization !< name of each homogenization material_name_homogenization !< name of each homogenization
integer, public, protected :: &
homogenization_maxNconstituents !< max number of grains in any USED homogenization
integer, dimension(:), allocatable, public, protected :: & ! (elem) integer, dimension(:), allocatable, public, protected :: & ! (elem)
material_homogenizationAt, & !< homogenization ID of each element material_homogenizationID, & !< per cell TODO: material_ID_homogenization
material_homogenizationID, & !< per cell material_homogenizationEntry !< per cell TODO: material_entry_homogenization
material_homogenizationEntry !< per cell
integer, dimension(:,:), allocatable :: & ! (ip,elem)
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 material_phaseAt, & !< phase ID of each element TODO: remove
material_phaseID, & !< per (constituent,cell) material_phaseID, & !< per (constituent,cell) TODO: material_ID_phase
material_phaseEntry !< per (constituent,cell) material_phaseEntry !< per (constituent,cell) TODO: material_entry_phase
integer, dimension(:,:,:), allocatable, public, protected :: & ! (constituent,IP,elem) integer, dimension(:,:,:), allocatable, public, protected :: & ! (constituent,IP,elem)
material_phaseMemberAt !< position of the element within its phase instance material_phaseMemberAt !TODO: remove
public :: & public :: &
tRotationContainer, &
material_orientation0, &
material_init material_init
contains contains
@ -55,25 +58,24 @@ subroutine material_init(restart)
print'(/,a)', ' <<<+- material init -+>>>'; flush(IO_STDOUT) print'(/,a)', ' <<<+- material init -+>>>'; flush(IO_STDOUT)
call material_parseMaterial call parse
print*, 'Material parsed' print*, 'parsed material.yaml'
if (.not. restart) then if (.not. restart) then
call results_openJobFile call results_openJobFile
call results_mapping_phase(material_phaseAt,material_phaseMemberAt,material_name_phase) call results_mapping_phase(material_phaseID,material_phaseEntry,material_name_phase)
call results_mapping_homogenization(material_homogenizationAt,material_homogenizationMemberAt,material_name_homogenization) call results_mapping_homogenization(material_homogenizationID,material_homogenizationEntry,material_name_homogenization)
call results_closeJobFile call results_closeJobFile
endif endif
end subroutine material_init end subroutine material_init
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief parses the material part in the material configuration file !> @brief Parse material.yaml to get the global structure
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine material_parseMaterial subroutine parse()
class(tNode), pointer :: materials, & !> list of materials class(tNode), pointer :: materials, & !> list of materials
material, & !> material definition material, & !> material definition
@ -90,7 +92,7 @@ subroutine material_parseMaterial
real(pReal) :: & real(pReal) :: &
frac frac
integer :: & integer :: &
el, ip, co, & el, ip, co, ma, &
h, ce h, ce
materials => config_material%get('material') materials => config_material%get('material')
@ -111,8 +113,6 @@ subroutine material_parseMaterial
allocate(counterPhase(phases%length),source=0) allocate(counterPhase(phases%length),source=0)
allocate(counterHomogenization(homogenizations%length),source=0) allocate(counterHomogenization(homogenizations%length),source=0)
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_phaseAt(homogenization_maxNconstituents,discretization_Nelems),source=0)
allocate(material_phaseMemberAt(homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems),source=0) allocate(material_phaseMemberAt(homogenization_maxNconstituents,discretization_nIPs,discretization_Nelems),source=0)
@ -126,13 +126,11 @@ subroutine material_parseMaterial
material => materials%get(discretization_materialAt(el)) material => materials%get(discretization_materialAt(el))
constituents => material%get('constituents') constituents => material%get('constituents')
material_homogenizationAt(el) = homogenizations%getIndex(material%get_asString('homogenization'))
do ip = 1, discretization_nIPs do ip = 1, discretization_nIPs
ce = (el-1)*discretization_nIPs + ip ce = (el-1)*discretization_nIPs + ip
counterHomogenization(material_homogenizationAt(el)) = counterHomogenization(material_homogenizationAt(el)) + 1 material_homogenizationID(ce) = homogenizations%getIndex(material%get_asString('homogenization'))
material_homogenizationMemberAt(ip,el) = counterHomogenization(material_homogenizationAt(el)) counterHomogenization(material_homogenizationID(ce)) = counterHomogenization(material_homogenizationID(ce)) + 1
material_homogenizationID(ce) = material_homogenizationAt(el) material_homogenizationEntry(ce) = counterHomogenization(material_homogenizationID(ce))
material_homogenizationEntry(ce) = material_homogenizationMemberAt(ip,el)
enddo enddo
frac = 0.0_pReal frac = 0.0_pReal
@ -144,10 +142,9 @@ subroutine material_parseMaterial
do ip = 1, discretization_nIPs do ip = 1, discretization_nIPs
ce = (el-1)*discretization_nIPs + ip ce = (el-1)*discretization_nIPs + ip
counterPhase(material_phaseAt(co,el)) = counterPhase(material_phaseAt(co,el)) + 1 counterPhase(material_phaseAt(co,el)) = counterPhase(material_phaseAt(co,el)) + 1
material_phaseMemberAt(co,ip,el) = counterPhase(material_phaseAt(co,el)) material_phaseMemberAt(co,ip,el) = counterPhase(material_phaseAt(co,el))
material_phaseEntry(co,ce) = counterPhase(material_phaseAt(co,el))
material_phaseID(co,ce) = material_phaseAt(co,el) material_phaseID(co,ce) = material_phaseAt(co,el)
material_phaseEntry(co,ce) = material_phaseMemberAt(co,ip,el)
enddo enddo
enddo enddo
@ -155,7 +152,19 @@ subroutine material_parseMaterial
enddo enddo
end subroutine material_parseMaterial allocate(material_orientation0(materials%length))
do ma = 1, materials%length
material => materials%get(ma)
constituents => material%get('constituents')
allocate(material_orientation0(ma)%data(constituents%length))
do co = 1, constituents%length
constituent => constituents%get(co)
call material_orientation0(ma)%data(co)%fromQuaternion(constituent%get_as1dFloat('O',requiredSize=4))
enddo
enddo
end subroutine parse
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------

View File

@ -1140,8 +1140,7 @@ end function math_areaTriangle
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief limits a scalar value to a certain range (either one or two sided) !> @brief Limit a scalar value to a certain range (either one or two sided).
! Will return NaN if left > right
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
real(pReal) pure elemental function math_clip(a, left, right) real(pReal) pure elemental function math_clip(a, left, right)

View File

@ -27,7 +27,7 @@ module parallelization
contains contains
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief calls subroutines that reads material, numerics and debug configuration files !> @brief Initialize shared memory (openMP) and distributed memory (MPI) parallelization.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine parallelization_init subroutine parallelization_init
@ -42,8 +42,8 @@ subroutine parallelization_init
! If openMP is enabled, check if the MPI libary supports it and initialize accordingly. ! If openMP is enabled, check if the MPI libary supports it and initialize accordingly.
! Otherwise, the first call to PETSc will do the initialization. ! Otherwise, the first call to PETSc will do the initialization.
call MPI_Init_Thread(MPI_THREAD_FUNNELED,threadLevel,err) call MPI_Init_Thread(MPI_THREAD_FUNNELED,threadLevel,err)
if (err /= 0) error stop 'MPI init failed' if (err /= 0) error stop 'MPI init failed'
if (threadLevel<MPI_THREAD_FUNNELED) error stop 'MPI library does not support OpenMP' if (threadLevel<MPI_THREAD_FUNNELED) error stop 'MPI library does not support OpenMP'
#endif #endif
#if defined(DEBUG) #if defined(DEBUG)

View File

@ -19,11 +19,9 @@ module phase
implicit none implicit none
private private
type(Rotation), dimension(:,:,:), allocatable :: & type(tRotationContainer), dimension(:), allocatable :: &
material_orientation0 !< initial orientation of each grain,IP,element phase_orientation0, &
phase_orientation
type(rotation), dimension(:,:,:), allocatable :: &
crystallite_orientation !< current orientation
type :: tTensorContainer type :: tTensorContainer
real(pReal), dimension(:,:,:), allocatable :: data real(pReal), dimension(:,:,:), allocatable :: data
@ -216,12 +214,11 @@ module phase
end function thermal_stress end function thermal_stress
module function integrateDamageState(dt,co,ip,el) result(broken) module function integrateDamageState(dt,co,ce) result(broken)
real(pReal), intent(in) :: dt real(pReal), intent(in) :: dt
integer, intent(in) :: & integer, intent(in) :: &
el, & !< element index in element loop ce, &
ip, & !< integration point index in ip loop co
co !< grain index in grain loop
logical :: broken logical :: broken
end function integrateDamageState end function integrateDamageState
@ -260,8 +257,7 @@ module phase
ph, & ph, &
i, & i, &
e e
type(rotation), dimension(1,discretization_nIPs,discretization_Nelems), intent(in) :: & type(tRotationContainer), dimension(:), intent(in) :: orientation
orientation !< crystal orientation
end subroutine plastic_nonlocal_updateCompatibility end subroutine plastic_nonlocal_updateCompatibility
module subroutine plastic_dependentState(co,ip,el) module subroutine plastic_dependentState(co,ip,el)
@ -348,7 +344,7 @@ contains
subroutine phase_init subroutine phase_init
integer :: & integer :: &
ph ph, ce, co, ma
class (tNode), pointer :: & class (tNode), pointer :: &
debug_constitutive, & debug_constitutive, &
materials, & materials, &
@ -369,6 +365,25 @@ subroutine phase_init
materials => config_material%get('material') materials => config_material%get('material')
phases => config_material%get('phase') phases => config_material%get('phase')
allocate(phase_orientation0(phases%length))
do ph = 1,phases%length
allocate(phase_orientation0(ph)%data(count(material_phaseID==ph)))
enddo
do ce = 1, size(material_phaseID,2)
ma = discretization_materialAt((ce-1)/discretization_nIPs+1)
do co = 1,homogenization_Nconstituents(material_homogenizationID(ce))
ph = material_phaseID(co,ce)
phase_orientation0(ph)%data(material_phaseEntry(co,ce)) = material_orientation0(ma)%data(co)
enddo
enddo
allocate(phase_orientation(phases%length))
do ph = 1,phases%length
phase_orientation(ph)%data = phase_orientation0(ph)%data
enddo
call mechanical_init(materials,phases) call mechanical_init(materials,phases)
call damage_init call damage_init
call thermal_init(phases) call thermal_init(phases)
@ -474,6 +489,7 @@ subroutine crystallite_init()
integer :: & integer :: &
ph, & ph, &
ce, &
co, & !< counter in integration point component loop co, & !< counter in integration point component loop
ip, & !< counter in integration point loop ip, & !< counter in integration point loop
el, & !< counter in element loop el, & !< counter in element loop
@ -492,8 +508,6 @@ subroutine crystallite_init()
iMax = discretization_nIPs iMax = discretization_nIPs
eMax = discretization_Nelems eMax = discretization_Nelems
allocate(crystallite_orientation(cMax,iMax,eMax))
num_crystallite => config_numerics%get('crystallite',defaultVal=emptyDict) num_crystallite => config_numerics%get('crystallite',defaultVal=emptyDict)
num%subStepMinCryst = num_crystallite%get_asFloat ('subStepMin', defaultVal=1.0e-3_pReal) num%subStepMinCryst = num_crystallite%get_asFloat ('subStepMin', defaultVal=1.0e-3_pReal)
@ -537,10 +551,11 @@ subroutine crystallite_init()
flush(IO_STDOUT) flush(IO_STDOUT)
!$OMP PARALLEL DO !$OMP PARALLEL DO PRIVATE(ce)
do el = 1, size(material_phaseMemberAt,3) do el = 1, eMax
do ip = 1, size(material_phaseMemberAt,2) do ip = 1, iMax
do co = 1,homogenization_Nconstituents(material_homogenizationAt(el)) ce = (el-1)*discretization_nIPs + ip
do co = 1,homogenization_Nconstituents(material_homogenizationID(ce))
call crystallite_orientations(co,ip,el) call crystallite_orientations(co,ip,el)
call plastic_dependentState(co,ip,el) ! update dependent state variables to be consistent with basic states call plastic_dependentState(co,ip,el) ! update dependent state variables to be consistent with basic states
enddo enddo
@ -562,13 +577,16 @@ subroutine crystallite_orientations(co,ip,el)
ip, & !< counter in integration point loop ip, & !< counter in integration point loop
el !< counter in element loop el !< counter in element loop
integer :: ph, en
call crystallite_orientation(co,ip,el)%fromMatrix(transpose(math_rotationalPart(&
mechanical_F_e(material_phaseAt(co,el),material_phaseMemberAt(co,ip,el))))) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
call phase_orientation(ph)%data(en)%fromMatrix(transpose(math_rotationalPart(mechanical_F_e(ph,en))))
if (plasticState(material_phaseAt(1,el))%nonlocal) & if (plasticState(material_phaseAt(1,el))%nonlocal) &
call plastic_nonlocal_updateCompatibility(crystallite_orientation, & call plastic_nonlocal_updateCompatibility(phase_orientation,material_phaseAt(1,el),ip,el)
material_phaseAt(1,el),ip,el)
end subroutine crystallite_orientations end subroutine crystallite_orientations
@ -590,7 +608,7 @@ function crystallite_push33ToRef(co,ce, tensor33)
ph = material_phaseID(co,ce) ph = material_phaseID(co,ce)
en = material_phaseEntry(co,ce) en = material_phaseEntry(co,ce)
T = matmul(material_orientation0(co,ph,en)%asMatrix(),transpose(math_inv33(phase_F(co,ce)))) ! ToDo: initial orientation correct? T = matmul(phase_orientation0(ph)%data(en)%asMatrix(),transpose(math_inv33(phase_F(co,ce)))) ! ToDo: initial orientation correct?
crystallite_push33ToRef = matmul(transpose(T),matmul(tensor33,T)) crystallite_push33ToRef = matmul(transpose(T),matmul(tensor33,T))

View File

@ -193,13 +193,12 @@ end function phase_f_phi
!> @brief integrate stress, state with adaptive 1st order explicit Euler method !> @brief integrate stress, state with adaptive 1st order explicit Euler method
!> using Fixed Point Iteration to adapt the stepsize !> using Fixed Point Iteration to adapt the stepsize
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
module function integrateDamageState(dt,co,ip,el) result(broken) module function integrateDamageState(dt,co,ce) result(broken)
real(pReal), intent(in) :: dt real(pReal), intent(in) :: dt
integer, intent(in) :: & integer, intent(in) :: &
el, & !< element index in element loop ce, &
ip, & !< integration point index in ip loop co
co !< grain index in grain loop
logical :: broken logical :: broken
integer :: & integer :: &
@ -215,8 +214,8 @@ module function integrateDamageState(dt,co,ip,el) result(broken)
logical :: & logical :: &
converged_ converged_
ph = material_phaseAt(co,el) ph = material_phaseID(co,ce)
me = material_phaseMemberAt(co,ip,el) me = material_phaseEntry(co,ce)
if (damageState(ph)%sizeState == 0) then if (damageState(ph)%sizeState == 0) then
broken = .false. broken = .false.

View File

@ -92,7 +92,7 @@ module function anisobrittle_init() result(mySources)
if (any(prm%g_crit < 0.0_pReal)) extmsg = trim(extmsg)//' g_crit' 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' if (any(prm%s_crit < 0.0_pReal)) extmsg = trim(extmsg)//' s_crit'
Nmembers = count(material_phaseAt==p) * discretization_nIPs Nmembers = count(material_phaseID==p)
call phase_allocateState(damageState(p),Nmembers,1,1,0) call phase_allocateState(damageState(p),Nmembers,1,1,0)
damageState(p)%atol = src%get_asFloat('anisobrittle_atol',defaultVal=1.0e-3_pReal) damageState(p)%atol = src%get_asFloat('anisobrittle_atol',defaultVal=1.0e-3_pReal)
if(any(damageState(p)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_atol' if(any(damageState(p)%atol < 0.0_pReal)) extmsg = trim(extmsg)//' anisobrittle_atol'

View File

@ -193,19 +193,13 @@ module subroutine mechanical_init(materials,phases)
phases phases
integer :: & integer :: &
el, &
ip, &
co, &
ce, &
ph, & ph, &
en, & en, &
stiffDegradationCtr, &
Nmembers Nmembers
class(tNode), pointer :: & class(tNode), pointer :: &
num_crystallite, & num_crystallite, &
material, & material, &
constituents, & constituents, &
constituent, &
phase, & phase, &
mech mech
@ -229,8 +223,6 @@ module subroutine mechanical_init(materials,phases)
allocate(phase_mechanical_P(phases%length)) allocate(phase_mechanical_P(phases%length))
allocate(phase_mechanical_S0(phases%length)) allocate(phase_mechanical_S0(phases%length))
allocate(material_orientation0(homogenization_maxNconstituents,phases%length,maxVal(material_phaseEntry)))
do ph = 1, phases%length do ph = 1, phases%length
Nmembers = count(material_phaseID == ph) Nmembers = count(material_phaseID == ph)
@ -252,37 +244,28 @@ module subroutine mechanical_init(materials,phases)
phase => phases%get(ph) phase => phases%get(ph)
mech => phase%get('mechanical') mech => phase%get('mechanical')
#if defined(__GFORTRAN__) #if defined(__GFORTRAN__)
output_constituent(ph)%label = output_as1dString(mech) output_constituent(ph)%label = output_as1dString(mech)
#else #else
output_constituent(ph)%label = mech%get_as1dString('output',defaultVal=emptyStringArray) output_constituent(ph)%label = mech%get_as1dString('output',defaultVal=emptyStringArray)
#endif #endif
enddo enddo
do el = 1, size(material_phaseMemberAt,3); do ip = 1, size(material_phaseMemberAt,2) do ph = 1, phases%length
do co = 1, homogenization_Nconstituents(material_homogenizationAt(el)) do en = 1, count(material_phaseID == ph)
material => materials%get(discretization_materialAt(el))
constituents => material%get('constituents')
constituent => constituents%get(co)
ph = material_phaseAt(co,el) phase_mechanical_Fp0(ph)%data(1:3,1:3,en) = phase_orientation0(ph)%data(en)%asMatrix() ! Fp reflects initial orientation (see 10.1016/j.actamat.2006.01.005)
en = material_phaseMemberAt(co,ip,el)
call material_orientation0(co,ph,en)%fromQuaternion(constituent%get_as1dFloat('O',requiredSize=4))
phase_mechanical_Fp0(ph)%data(1:3,1:3,en) = material_orientation0(co,ph,en)%asMatrix() ! Fp reflects initial orientation (see 10.1016/j.actamat.2006.01.005)
phase_mechanical_Fp0(ph)%data(1:3,1:3,en) = phase_mechanical_Fp0(ph)%data(1:3,1:3,en) & phase_mechanical_Fp0(ph)%data(1:3,1:3,en) = phase_mechanical_Fp0(ph)%data(1:3,1:3,en) &
/ math_det33(phase_mechanical_Fp0(ph)%data(1:3,1:3,en))**(1.0_pReal/3.0_pReal) / math_det33(phase_mechanical_Fp0(ph)%data(1:3,1:3,en))**(1.0_pReal/3.0_pReal)
phase_mechanical_Fi0(ph)%data(1:3,1:3,en) = math_I3 phase_mechanical_Fi0(ph)%data(1:3,1:3,en) = math_I3
phase_mechanical_F0(ph)%data(1:3,1:3,en) = math_I3 phase_mechanical_F0(ph)%data(1:3,1:3,en) = math_I3
phase_mechanical_Fe(ph)%data(1:3,1:3,en) = math_inv33(matmul(phase_mechanical_Fi0(ph)%data(1:3,1:3,en), & phase_mechanical_Fe(ph)%data(1:3,1:3,en) = math_inv33(matmul(phase_mechanical_Fi0(ph)%data(1:3,1:3,en), &
phase_mechanical_Fp0(ph)%data(1:3,1:3,en))) ! assuming that euler angles are given in internal strain free configuration phase_mechanical_Fp0(ph)%data(1:3,1:3,en))) ! assuming that euler angles are given in internal strain free configuration
phase_mechanical_Fp(ph)%data(1:3,1:3,en) = phase_mechanical_Fp0(ph)%data(1:3,1:3,en)
phase_mechanical_Fi(ph)%data(1:3,1:3,en) = phase_mechanical_Fi0(ph)%data(1:3,1:3,en)
phase_mechanical_F(ph)%data(1:3,1:3,en) = phase_mechanical_F0(ph)%data(1:3,1:3,en)
enddo enddo
enddo; enddo phase_mechanical_Fp(ph)%data = phase_mechanical_Fp0(ph)%data
phase_mechanical_Fi(ph)%data = phase_mechanical_Fi0(ph)%data
phase_mechanical_F(ph)%data = phase_mechanical_F0(ph)%data
enddo
! initialize elasticity ! initialize elasticity
@ -433,8 +416,8 @@ function integrateStress(F,subFp0,subFi0,Delta_t,co,ip,el) result(broken)
broken = .true. broken = .true.
ph = material_phaseAt(co,el) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phaseMemberAt(co,ip,el) en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
call plastic_dependentState(co,ip,el) call plastic_dependentState(co,ip,el)
@ -609,8 +592,8 @@ function integrateStateFPI(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el) resul
dotState dotState
ph = material_phaseAt(co,el) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phaseMemberAt(co,ip,el) en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
broken = plastic_dotState(Delta_t, co,ip,el,ph,en) broken = plastic_dotState(Delta_t, co,ip,el,ph,en)
if(broken) return if(broken) return
@ -694,8 +677,8 @@ function integrateStateEuler(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el) res
sizeDotState sizeDotState
ph = material_phaseAt(co,el) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phaseMemberAt(co,ip,el) en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
broken = plastic_dotState(Delta_t, co,ip,el,ph,en) broken = plastic_dotState(Delta_t, co,ip,el,ph,en)
if(broken) return if(broken) return
@ -734,8 +717,8 @@ function integrateStateAdaptiveEuler(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip
real(pReal), dimension(phase_plasticity_maxSizeDotState) :: residuum_plastic real(pReal), dimension(phase_plasticity_maxSizeDotState) :: residuum_plastic
ph = material_phaseAt(co,el) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phaseMemberAt(co,ip,el) en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
broken = plastic_dotState(Delta_t, co,ip,el,ph,en) broken = plastic_dotState(Delta_t, co,ip,el,ph,en)
if(broken) return if(broken) return
@ -852,8 +835,8 @@ function integrateStateRK(F_0,F,subFp0,subFi0,subState0,Delta_t,co,ip,el,A,B,C,D
real(pReal), dimension(phase_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState real(pReal), dimension(phase_plasticity_maxSizeDotState,size(B)) :: plastic_RKdotState
ph = material_phaseAt(co,el) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phaseMemberAt(co,ip,el) en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
broken = plastic_dotState(Delta_t,co,ip,el,ph,en) broken = plastic_dotState(Delta_t,co,ip,el,ph,en)
if(broken) return if(broken) return
@ -956,7 +939,7 @@ subroutine crystallite_results(group,ph)
case(lattice_BCT_ID) case(lattice_BCT_ID)
structureLabel = 'tI' structureLabel = 'tI'
end select end select
selected_rotations = select_rotations(crystallite_orientation,ph) selected_rotations = select_rotations(phase_orientation(ph)%data)
call results_writeDataset(group//'/mechanical',selected_rotations,output_constituent(ph)%label(ou),& call results_writeDataset(group//'/mechanical',selected_rotations,output_constituent(ph)%label(ou),&
'crystal orientation as quaternion','q_0 (q_1 q_2 q_3)') 'crystal orientation as quaternion','q_0 (q_1 q_2 q_3)')
call results_addAttribute('lattice',structureLabel,group//'/mechanical/'//output_constituent(ph)%label(ou)) call results_addAttribute('lattice',structureLabel,group//'/mechanical/'//output_constituent(ph)%label(ou))
@ -967,27 +950,16 @@ subroutine crystallite_results(group,ph)
contains contains
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief select rotations for output !> @brief Convert orientation for output: ToDo: implement in HDF5/results
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
function select_rotations(dataset,ph) function select_rotations(dataset)
integer, intent(in) :: ph type(rotation), dimension(:), intent(in) :: dataset
type(rotation), dimension(:,:,:), intent(in) :: dataset real(pReal), dimension(4,size(dataset,1)) :: select_rotations
real(pReal), allocatable, dimension(:,:) :: select_rotations integer :: en
integer :: el,ip,co,j
allocate(select_rotations(4,count(material_phaseAt==ph)*homogenization_maxNconstituents*discretization_nIPs)) do en = 1, size(dataset,1)
select_rotations(:,en) = dataset(en)%asQuaternion()
j=0
do el = 1, size(material_phaseAt,2)
do ip = 1, discretization_nIPs
do co = 1, size(material_phaseAt,1) !ToDo: this needs to be changed for varying Ngrains
if (material_phaseAt(co,el) == ph) then
j = j + 1
select_rotations(1:4,j) = dataset(co,ip,el)%asQuaternion()
endif
enddo
enddo
enddo enddo
end function select_rotations end function select_rotations
@ -1045,8 +1017,8 @@ module function crystallite_stress(dt,co,ip,el) result(converged_)
real(pReal), dimension(:), allocatable :: subState0 real(pReal), dimension(:), allocatable :: subState0
ph = material_phaseAt(co,el) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phaseMemberAt(co,ip,el) en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
sizeDotState = plasticState(ph)%sizeDotState sizeDotState = plasticState(ph)%sizeDotState
subLi0 = phase_mechanical_Li0(ph)%data(1:3,1:3,en) subLi0 = phase_mechanical_Li0(ph)%data(1:3,1:3,en)
@ -1109,7 +1081,7 @@ module function crystallite_stress(dt,co,ip,el) result(converged_)
subF = subF0 & subF = subF0 &
+ subStep * (phase_mechanical_F(ph)%data(1:3,1:3,en) - phase_mechanical_F0(ph)%data(1:3,1:3,en)) + subStep * (phase_mechanical_F(ph)%data(1:3,1:3,en) - phase_mechanical_F0(ph)%data(1:3,1:3,en))
converged_ = .not. integrateState(subF0,subF,subFp0,subFi0,subState0(1:sizeDotState),subStep * dt,co,ip,el) converged_ = .not. integrateState(subF0,subF,subFp0,subFi0,subState0(1:sizeDotState),subStep * dt,co,ip,el)
converged_ = converged_ .and. .not. integrateDamageState(subStep * dt,co,ip,el) converged_ = converged_ .and. .not. integrateDamageState(subStep * dt,co,(el-1)*discretization_nIPs + ip)
endif endif
enddo cutbackLooping enddo cutbackLooping

View File

@ -360,10 +360,10 @@ module subroutine plastic_dependentState(co, ip, el)
en en
ph = material_phaseAt(co,el) ph = material_phaseID(co,(el-1)*discretization_nIPs + ip)
en = material_phasememberAt(co,ip,el) en = material_phaseEntry(co,(el-1)*discretization_nIPs + ip)
plasticType: select case (phase_plasticity(material_phaseAt(co,el))) plasticType: select case (phase_plasticity(ph))
case (PLASTICITY_DISLOTWIN_ID) plasticType case (PLASTICITY_DISLOTWIN_ID) plasticType
call dislotwin_dependentState(thermal_T(ph,en),ph,en) call dislotwin_dependentState(thermal_T(ph,en),ph,en)

View File

@ -506,7 +506,6 @@ module function plastic_nonlocal_init() result(myPlasticity)
end associate end associate
if (Nmembers > 0) call stateInit(ini,ph,Nmembers) if (Nmembers > 0) call stateInit(ini,ph,Nmembers)
plasticState(ph)%state0 = plasticState(ph)%state
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! exit if any parameter is out of range ! exit if any parameter is out of range
@ -623,7 +622,7 @@ module subroutine nonlocal_dependentState(ph, en, ip, el)
! coefficients are corrected for the line tension effect ! 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) ! (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 if (any(lattice_structure(ph) == [LATTICE_bcc_ID,LATTICE_fcc_ID])) then
myInteractionMatrix = prm%h_sl_sl & myInteractionMatrix = prm%h_sl_sl &
* spread(( 1.0_pReal - prm%f_F & * spread(( 1.0_pReal - prm%f_F &
+ prm%f_F & + prm%f_F &
@ -644,7 +643,7 @@ module subroutine nonlocal_dependentState(ph, en, ip, el)
!################################################################################################# !#################################################################################################
rho0 = getRho0(ph,en) rho0 = getRho0(ph,en)
if (.not. phase_localPlasticity(material_phaseAt(1,el)) .and. prm%shortRangeStressCorrection) then if (.not. phase_localPlasticity(ph) .and. prm%shortRangeStressCorrection) then
invFp = math_inv33(phase_mechanical_Fp(ph)%data(1:3,1:3,en)) invFp = math_inv33(phase_mechanical_Fp(ph)%data(1:3,1:3,en))
invFe = math_inv33(phase_mechanical_Fe(ph)%data(1:3,1:3,en)) invFe = math_inv33(phase_mechanical_Fe(ph)%data(1:3,1:3,en))
@ -1238,7 +1237,7 @@ function rhoDotFlux(timestep,ph,en,ip,el)
!**************************************************************************** !****************************************************************************
!*** calculate dislocation fluxes (only for nonlocal plasticity) !*** calculate dislocation fluxes (only for nonlocal plasticity)
rhoDotFlux = 0.0_pReal rhoDotFlux = 0.0_pReal
if (.not. phase_localPlasticity(material_phaseAt(1,el))) then if (.not. phase_localPlasticity(ph)) then
!*** check CFL (Courant-Friedrichs-Lewy) condition for flux !*** check CFL (Courant-Friedrichs-Lewy) condition for flux
if (any( abs(gdot) > 0.0_pReal & ! any active slip system ... if (any( abs(gdot) > 0.0_pReal & ! any active slip system ...
@ -1394,7 +1393,7 @@ end function rhoDotFlux
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
module subroutine plastic_nonlocal_updateCompatibility(orientation,ph,i,e) module subroutine plastic_nonlocal_updateCompatibility(orientation,ph,i,e)
type(rotation), dimension(1,discretization_nIPs,discretization_Nelems), intent(in) :: & type(tRotationContainer), dimension(:), intent(in) :: &
orientation ! crystal orientation orientation ! crystal orientation
integer, intent(in) :: & integer, intent(in) :: &
ph, & ph, &
@ -1450,8 +1449,8 @@ module subroutine plastic_nonlocal_updateCompatibility(orientation,ph,i,e)
elseif (prm%chi_GB >= 0.0_pReal) then elseif (prm%chi_GB >= 0.0_pReal) then
!* GRAIN BOUNDARY ! !* GRAIN BOUNDARY !
!* fixed transmissivity for adjacent ips with different texture (only if explicitly given in material.config) !* fixed transmissivity for adjacent ips with different texture (only if explicitly given in material.config)
if (any(dNeq(material_orientation0(1,ph,en)%asQuaternion(), & if (any(dNeq(phase_orientation0(ph)%data(en)%asQuaternion(), &
material_orientation0(1,neighbor_phase,neighbor_me)%asQuaternion())) .and. & phase_orientation0(neighbor_phase)%data(neighbor_me)%asQuaternion())) .and. &
(.not. phase_localPlasticity(neighbor_phase))) & (.not. phase_localPlasticity(neighbor_phase))) &
forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%chi_GB) forall(s1 = 1:ns) my_compatibility(:,s1,s1,n) = sqrt(prm%chi_GB)
else else
@ -1464,7 +1463,7 @@ module subroutine plastic_nonlocal_updateCompatibility(orientation,ph,i,e)
!* the number of compatible slip systems is minimized with the sum of the original compatibility values exceeding one. !* the number of compatible slip systems is minimized with the sum of the original compatibility values exceeding one.
!* Finally the smallest compatibility value is decreased until the sum is exactly equal to one. !* Finally the smallest compatibility value is decreased until the sum is exactly equal to one.
!* All values below the threshold are set to zero. !* All values below the threshold are set to zero.
mis = orientation(1,i,e)%misorientation(orientation(1,neighbor_i,neighbor_e)) mis = orientation(ph)%data(en)%misorientation(orientation(neighbor_phase)%data(neighbor_me))
mySlipSystems: do s1 = 1,ns mySlipSystems: do s1 = 1,ns
neighborSlipSystems: do s2 = 1,ns neighborSlipSystems: do s2 = 1,ns
my_compatibility(1,s2,s1,n) = math_inner(prm%slip_normal(1:3,s1), & my_compatibility(1,s2,s1,n) = math_inner(prm%slip_normal(1:3,s1), &
@ -1579,21 +1578,20 @@ end subroutine plastic_nonlocal_results
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief populates the initial dislocation density !> @brief populates the initial dislocation density
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine stateInit(ini,phase,Nmembers) subroutine stateInit(ini,phase,Nentries)
type(tInitialParameters) :: & type(tInitialParameters) :: &
ini ini
integer,intent(in) :: & integer,intent(in) :: &
phase, & phase, &
Nmembers Nentries
integer :: & integer :: &
i, &
e, & e, &
f, & f, &
from, & from, &
upto, & upto, &
s, & s
phasemember
real(pReal), dimension(2) :: & real(pReal), dimension(2) :: &
noise, & noise, &
rnd rnd
@ -1602,49 +1600,42 @@ subroutine stateInit(ini,phase,Nmembers)
totalVolume, & totalVolume, &
densityBinning, & densityBinning, &
minimumIpVolume minimumIpVolume
real(pReal), dimension(Nmembers) :: &
volume
associate(stt => state(phase)) associate(stt => state(phase))
if (ini%random_rho_u > 0.0_pReal) then ! randomly distribute dislocation segments on random slip system and of random type in the volume 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 totalVolume = sum(geom(phase)%V_0)
do i = 1,discretization_nIPs minimumIPVolume = minval(geom(phase)%V_0)
if (material_phaseAt(1,e) == phase) volume(material_phasememberAt(1,i,e)) = IPvolume(i,e) densityBinning = ini%random_rho_u_binning / minimumIpVolume ** (2.0_pReal / 3.0_pReal)
enddo
enddo
totalVolume = sum(volume)
minimumIPVolume = minval(volume)
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 ! fill random material points with dislocation segments until the desired overall density is reached
meanDensity = 0.0_pReal meanDensity = 0.0_pReal
do while(meanDensity < ini%random_rho_u) do while(meanDensity < ini%random_rho_u)
call random_number(rnd) call random_number(rnd)
phasemember = nint(rnd(1)*real(Nmembers,pReal) + 0.5_pReal) e = nint(rnd(1)*real(Nentries,pReal) + 0.5_pReal)
s = nint(rnd(2)*real(sum(ini%N_sl),pReal)*4.0_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 meanDensity = meanDensity + densityBinning * geom(phase)%V_0(e) / totalVolume
stt%rhoSglMobile(s,phasemember) = densityBinning stt%rhoSglMobile(s,e) = densityBinning
enddo
else ! homogeneous distribution with noise
do e = 1, Nmembers
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%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%rho_d_ed_0(f)
stt%rho_dip_scr(from:upto,e) = ini%rho_d_sc_0(f)
enddo enddo
enddo else ! homogeneous distribution with noise
endif do e = 1, Nentries
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%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%rho_d_ed_0(f)
stt%rho_dip_scr(from:upto,e) = ini%rho_d_sc_0(f)
enddo
enddo
endif
end associate end associate

View File

@ -78,7 +78,7 @@ contains
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief report precision and do self test !> @brief Report precision and do self test.
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine prec_init subroutine prec_init

View File

@ -415,16 +415,15 @@ end subroutine results_writeTensorDataset_int
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief adds the unique mapping from spatial position and constituent ID to results !> @brief adds the unique mapping from spatial position and constituent ID to results
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine results_mapping_phase(phaseAt,memberAtLocal,label) subroutine results_mapping_phase(ID,entry,label)
integer, dimension(:,:), intent(in) :: phaseAt !< phase section at (constituent,element) integer, dimension(:,:), intent(in) :: ID !< phase ID at (co,ce)
integer, dimension(:,:,:), intent(in) :: memberAtLocal !< phase member at (constituent,IP,element) integer, dimension(:,:), intent(in) :: entry !< phase entry at (co,ce)
character(len=*), dimension(:), intent(in) :: label !< label of each phase section character(len=*), dimension(:), intent(in) :: label !< label of each phase section
integer, dimension(size(memberAtLocal,1),size(memberAtLocal,2),size(memberAtLocal,3)) :: & integer, dimension(size(entry,1),size(entry,2)) :: &
phaseAtMaterialpoint, & entryGlobal
memberAtGlobal integer, dimension(size(label),0:worldsize-1) :: entryOffset !< offset in entry counting per process
integer, dimension(size(label),0:worldsize-1) :: memberOffset !< offset in member counting per process
integer, dimension(0:worldsize-1) :: writeSize !< amount of data written per process integer, dimension(0:worldsize-1) :: writeSize !< amount of data written per process
integer(HSIZE_T), dimension(2) :: & integer(HSIZE_T), dimension(2) :: &
myShape, & !< shape of the dataset (this process) myShape, & !< shape of the dataset (this process)
@ -443,51 +442,48 @@ subroutine results_mapping_phase(phaseAt,memberAtLocal,label)
dt_id dt_id
integer(SIZE_T) :: type_size_string, type_size_int integer(SIZE_T) :: type_size_string, type_size_int
integer :: hdferr, ierr, i integer :: hdferr, ierr, ce, co
writeSize = 0
writeSize(worldrank) = size(entry(1,:)) ! total number of entries of this process
!--------------------------------------------------------------------------------------------------
! prepare MPI communication (transparent for non-MPI runs)
call h5pcreate_f(H5P_DATASET_XFER_F, plist_id, hdferr) call h5pcreate_f(H5P_DATASET_XFER_F, plist_id, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
memberOffset = 0
do i=1, size(label)
memberOffset(i,worldrank) = count(phaseAt == i)*size(memberAtLocal,2) ! number of points/instance of this process
enddo
writeSize = 0
writeSize(worldrank) = size(memberAtLocal(1,:,:)) ! total number of points by this process
#ifndef PETSc
entryGlobal = entry -1 ! 0-based
#else
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! MPI settings and communication ! MPI settings and communication
#ifdef PETSc
call h5pset_dxpl_mpio_f(plist_id, H5FD_MPIO_COLLECTIVE_F, hdferr) call h5pset_dxpl_mpio_f(plist_id, H5FD_MPIO_COLLECTIVE_F, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call MPI_allreduce(MPI_IN_PLACE,writeSize,worldsize,MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr) ! get output at each process call MPI_allreduce(MPI_IN_PLACE,writeSize,worldsize,MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr) ! get output at each process
if(ierr /= 0) error stop 'MPI error' if(ierr /= 0) error stop 'MPI error'
call MPI_allreduce(MPI_IN_PLACE,memberOffset,size(memberOffset),MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr)! get offset at each process entryOffset = 0
do co = 1, size(ID,1)
do ce = 1, size(ID,2)
entryOffset(ID(co,ce),worldrank) = entryOffset(ID(co,ce),worldrank) +1
enddo
enddo
call MPI_allreduce(MPI_IN_PLACE,entryOffset,size(entryOffset),MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr)! get offset at each process
if(ierr /= 0) error stop 'MPI error' if(ierr /= 0) error stop 'MPI error'
entryOffset(:,worldrank) = sum(entryOffset(:,0:worldrank-1),2)
do co = 1, size(ID,1)
do ce = 1, size(ID,2)
entryGlobal(co,ce) = entry(co,ce) -1 + entryOffset(ID(co,ce),worldrank)
enddo
enddo
#endif #endif
myShape = int([size(phaseAt,1),writeSize(worldrank)], HSIZE_T) myShape = int([size(ID,1),writeSize(worldrank)], HSIZE_T)
myOffset = int([0,sum(writeSize(0:worldrank-1))], HSIZE_T) myOffset = int([0,sum(writeSize(0:worldrank-1))], HSIZE_T)
totalShape = int([size(phaseAt,1),sum(writeSize)], HSIZE_T) totalShape = int([size(ID,1),sum(writeSize)], HSIZE_T)
!--------------------------------------------------------------------------------------------------- !---------------------------------------------------------------------------------------------------
! expand phaseAt to consider IPs (is not stored per IP) ! compound type: label(ID) + entry
do i = 1, size(phaseAtMaterialpoint,2)
phaseAtMaterialpoint(:,i,:) = phaseAt
enddo
!---------------------------------------------------------------------------------------------------
! renumber member from my process to all processes
do i = 1, size(label)
where(phaseAtMaterialpoint == i) memberAtGlobal = memberAtLocal + sum(memberOffset(i,0:worldrank-1)) -1 ! convert to 0-based
enddo
!---------------------------------------------------------------------------------------------------
! compound type: name of phase section + position/index within results array
call h5tcopy_f(H5T_NATIVE_CHARACTER, dt_id, hdferr) call h5tcopy_f(H5T_NATIVE_CHARACTER, dt_id, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call h5tset_size_f(dt_id, int(len(label(1)),SIZE_T), hdferr) call h5tset_size_f(dt_id, int(len(label(1)),SIZE_T), hdferr)
@ -540,10 +536,10 @@ subroutine results_mapping_phase(phaseAt,memberAtLocal,label)
call h5dcreate_f(loc_id, 'phase', dtype_id, filespace_id, dset_id, hdferr) call h5dcreate_f(loc_id, 'phase', dtype_id, filespace_id, dset_id, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call h5dwrite_f(dset_id, label_id, reshape(label(pack(phaseAtMaterialpoint,.true.)),myShape), & call h5dwrite_f(dset_id, label_id, reshape(label(pack(ID,.true.)),myShape), &
myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id) myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call h5dwrite_f(dset_id, entry_id, reshape(pack(memberAtGlobal,.true.),myShape), & call h5dwrite_f(dset_id, entry_id, reshape(pack(entryGlobal,.true.),myShape), &
myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id) myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
@ -572,16 +568,15 @@ end subroutine results_mapping_phase
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
!> @brief adds the unique mapping from spatial position and constituent ID to results !> @brief adds the unique mapping from spatial position and constituent ID to results
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine results_mapping_homogenization(homogenizationAt,memberAtLocal,label) subroutine results_mapping_homogenization(ID,entry,label)
integer, dimension(:), intent(in) :: homogenizationAt !< homogenization section at (element) integer, dimension(:), intent(in) :: ID !< homogenization ID at (ce)
integer, dimension(:,:), intent(in) :: memberAtLocal !< homogenization member at (IP,element) integer, dimension(:), intent(in) :: entry !< homogenization entry at (ce)
character(len=*), dimension(:), intent(in) :: label !< label of each homogenization section character(len=*), dimension(:), intent(in) :: label !< label of each homogenization section
integer, dimension(size(memberAtLocal,1),size(memberAtLocal,2)) :: & integer, dimension(size(entry,1)) :: &
homogenizationAtMaterialpoint, & entryGlobal
memberAtGlobal integer, dimension(size(label),0:worldsize-1) :: entryOffset !< offset in entry counting per process
integer, dimension(size(label),0:worldsize-1) :: memberOffset !< offset in member counting per process
integer, dimension(0:worldsize-1) :: writeSize !< amount of data written per process integer, dimension(0:worldsize-1) :: writeSize !< amount of data written per process
integer(HSIZE_T), dimension(1) :: & integer(HSIZE_T), dimension(1) :: &
myShape, & !< shape of the dataset (this process) myShape, & !< shape of the dataset (this process)
@ -600,52 +595,44 @@ subroutine results_mapping_homogenization(homogenizationAt,memberAtLocal,label)
dt_id dt_id
integer(SIZE_T) :: type_size_string, type_size_int integer(SIZE_T) :: type_size_string, type_size_int
integer :: hdferr, ierr, i integer :: hdferr, ierr, ce
!-------------------------------------------------------------------------------------------------- writeSize = 0
! prepare MPI communication (transparent for non-MPI runs) writeSize(worldrank) = size(entry) ! total number of entries of this process
call h5pcreate_f(H5P_DATASET_XFER_F, plist_id, hdferr) call h5pcreate_f(H5P_DATASET_XFER_F, plist_id, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
memberOffset = 0
do i=1, size(label)
memberOffset(i,worldrank) = count(homogenizationAt == i)*size(memberAtLocal,1) ! number of points/instance of this process
enddo
writeSize = 0
writeSize(worldrank) = size(memberAtLocal) ! total number of points by this process
#ifndef PETSc
entryGlobal = entry -1 ! 0-based
#else
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
! MPI settings and communication ! MPI settings and communication
#ifdef PETSc
call h5pset_dxpl_mpio_f(plist_id, H5FD_MPIO_COLLECTIVE_F, hdferr) call h5pset_dxpl_mpio_f(plist_id, H5FD_MPIO_COLLECTIVE_F, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call MPI_allreduce(MPI_IN_PLACE,writeSize,worldsize,MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr) ! get output at each process call MPI_allreduce(MPI_IN_PLACE,writeSize,worldsize,MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr) ! get output at each process
if(ierr /= 0) error stop 'MPI error' if(ierr /= 0) error stop 'MPI error'
call MPI_allreduce(MPI_IN_PLACE,memberOffset,size(memberOffset),MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr)! get offset at each process entryOffset = 0
do ce = 1, size(ID,1)
entryOffset(ID(ce),worldrank) = entryOffset(ID(ce),worldrank) +1
enddo
call MPI_allreduce(MPI_IN_PLACE,entryOffset,size(entryOffset),MPI_INT,MPI_SUM,PETSC_COMM_WORLD,ierr) ! get offset at each process
if(ierr /= 0) error stop 'MPI error' if(ierr /= 0) error stop 'MPI error'
entryOffset(:,worldrank) = sum(entryOffset(:,0:worldrank-1),2)
do ce = 1, size(ID,1)
entryGlobal(ce) = entry(ce) -1 + entryOffset(ID(ce),worldrank)
enddo
#endif #endif
myShape = int([writeSize(worldrank)], HSIZE_T) myShape = int([writeSize(worldrank)], HSIZE_T)
myOffset = int([sum(writeSize(0:worldrank-1))], HSIZE_T) myOffset = int([sum(writeSize(0:worldrank-1))], HSIZE_T)
totalShape = int([sum(writeSize)], HSIZE_T) totalShape = int([sum(writeSize)], HSIZE_T)
!--------------------------------------------------------------------------------------------------- !---------------------------------------------------------------------------------------------------
! expand phaseAt to consider IPs (is not stored per IP) ! compound type: label(ID) + entry
do i = 1, size(homogenizationAtMaterialpoint,1)
homogenizationAtMaterialpoint(i,:) = homogenizationAt
enddo
!---------------------------------------------------------------------------------------------------
! renumber member from my process to all processes
do i = 1, size(label)
where(homogenizationAtMaterialpoint == i) memberAtGlobal = memberAtLocal + sum(memberOffset(i,0:worldrank-1)) - 1 ! convert to 0-based
enddo
!---------------------------------------------------------------------------------------------------
! compound type: name of phase section + position/index within results array
call h5tcopy_f(H5T_NATIVE_CHARACTER, dt_id, hdferr) call h5tcopy_f(H5T_NATIVE_CHARACTER, dt_id, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call h5tset_size_f(dt_id, int(len(label(1)),SIZE_T), hdferr) call h5tset_size_f(dt_id, int(len(label(1)),SIZE_T), hdferr)
@ -698,10 +685,10 @@ subroutine results_mapping_homogenization(homogenizationAt,memberAtLocal,label)
call h5dcreate_f(loc_id, 'homogenization', dtype_id, filespace_id, dset_id, hdferr) call h5dcreate_f(loc_id, 'homogenization', dtype_id, filespace_id, dset_id, hdferr)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call h5dwrite_f(dset_id, label_id, reshape(label(pack(homogenizationAtMaterialpoint,.true.)),myShape), & call h5dwrite_f(dset_id, label_id, reshape(label(pack(ID,.true.)),myShape), &
myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id) myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
call h5dwrite_f(dset_id, entry_id, reshape(pack(memberAtGlobal,.true.),myShape), & call h5dwrite_f(dset_id, entry_id, reshape(pack(entryGlobal,.true.),myShape), &
myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id) myShape, hdferr, file_space_id = filespace_id, mem_space_id = memspace_id, xfer_prp = plist_id)
if(hdferr < 0) error stop 'HDF5 error' if(hdferr < 0) error stop 'HDF5 error'
@ -733,19 +720,18 @@ end subroutine results_mapping_homogenization
!-------------------------------------------------------------------------------------------------- !--------------------------------------------------------------------------------------------------
subroutine executionStamp(path,description,SIunit) subroutine executionStamp(path,description,SIunit)
character(len=*), intent(in) :: path,description character(len=*), intent(in) :: path,description
character(len=*), intent(in), optional :: SIunit character(len=*), intent(in), optional :: SIunit
if (HDF5_objectExists(resultsFile,path)) &
call HDF5_addAttribute(resultsFile,'description',description,path)
if (HDF5_objectExists(resultsFile,path) .and. present(SIunit)) &
call HDF5_addAttribute(resultsFile,'unit',SIunit,path)
if (HDF5_objectExists(resultsFile,path)) & if (HDF5_objectExists(resultsFile,path)) &
call HDF5_addAttribute(resultsFile,'creator','DAMASK '//DAMASKVERSION,path) call HDF5_addAttribute(resultsFile,'creator','DAMASK '//DAMASKVERSION,path)
if (HDF5_objectExists(resultsFile,path)) & if (HDF5_objectExists(resultsFile,path)) &
call HDF5_addAttribute(resultsFile,'created',now(),path) call HDF5_addAttribute(resultsFile,'created',now(),path)
if (HDF5_objectExists(resultsFile,path)) &
call HDF5_addAttribute(resultsFile,'description',description,path)
if (HDF5_objectExists(resultsFile,path) .and. present(SIunit)) &
call HDF5_addAttribute(resultsFile,'unit',SIunit,path)
end subroutine executionStamp end subroutine executionStamp