DAMASK_EICMD/code/IO.f90

!--------------------------------------------------------------------------------------------------
! $Id$
!--------------------------------------------------------------------------------------------------
!> @author Franz Roters, Max-Planck-Institut für Eisenforschung GmbH
!> @author Philip Eisenlohr, Max-Planck-Institut für Eisenforschung GmbH
!> @author Christoph Kords, Max-Planck-Institut für Eisenforschung GmbH
!> @author Martin Diehl, Max-Planck-Institut für Eisenforschung GmbH
!> @brief  input/output functions, partly depending on chosen solver
!--------------------------------------------------------------------------------------------------
module IO
#ifdef HDF
 use hdf5, only: &
   HID_T
#endif
 use prec, only: &
   pInt, &
   pReal
 
 implicit none
 private
 character(len=5), parameter, public :: &
   IO_EOF = '#EOF#'                                                                                 !< end of file string
#ifdef HDF 
 integer(HID_T), public, protected :: tempCoordinates, tempResults
 integer(HID_T), private :: resultsFile, tempFile
 integer(pInt), private :: currentInc
#endif

 public :: &
#ifdef HDF
   HDF5_mappingConstitutive, &
   HDF5_mappingHomogenization, &
   HDF5_mappingCells, &
   HDF5_addGroup ,&
   HDF5_forwardResults, &
   HDF5_addScalarDataset, &
   IO_formatIntToString ,&
#endif
   IO_init, &
   IO_read, &
   IO_checkAndRewind, &
   IO_open_file_stat, &
   IO_open_jobFile_stat, &
   IO_open_file, &
   IO_open_jobFile, &
   IO_write_jobFile, &
   IO_write_jobRealFile, &
   IO_write_jobIntFile, &
   IO_read_realFile, &
   IO_read_intFile, &
   IO_hybridIA, &
   IO_isBlank, &
   IO_getTag, &
   IO_countSections, &
   IO_countTagInPart, &
   IO_spotTagInPart, &
   IO_globalTagInPart, &
   IO_stringPos, &
   IO_stringValue, &
   IO_fixedStringValue ,&
   IO_floatValue, &
   IO_fixedNoEFloatValue, &
   IO_intValue, &
   IO_fixedIntValue, &
   IO_lc, &
   IO_skipChunks, &
   IO_extractValue, &
   IO_countDataLines, &
   IO_countContinuousIntValues, &
   IO_continuousIntValues, &
   IO_error, &
   IO_warning, &
   IO_intOut, &
   IO_timeStamp
#ifndef Spectral
#ifndef FEM
 public :: &
   IO_open_inputFile, &
   IO_open_logFile
#endif
#endif
#ifdef Abaqus  
 public :: &
   IO_abaqus_hasNoPart
#endif
 private :: &
   IO_fixedFloatValue, &
   IO_lcInplace ,&
   IO_verifyFloatValue, &
   IO_verifyIntValue, &
   hybridIA_reps
#ifdef Abaqus 
 private :: &
   abaqus_assembleInputFile
#endif

contains


!--------------------------------------------------------------------------------------------------
!> @brief only outputs revision number
!--------------------------------------------------------------------------------------------------
subroutine IO_init
 use, intrinsic :: iso_fortran_env                                                                  ! to get compiler_version and compiler_options (at least for gfortran 4.6 at the moment)

 write(6,'(/,a)') ' <<<+-  IO init  -+>>>'
 write(6,'(a)')   ' $Id$'
 write(6,'(a15,a)')   ' Current time: ',IO_timeStamp()
#include "compilation_info.f90"

#ifdef HDF 
 call HDF5_createJobFile
#endif

end subroutine IO_init


!--------------------------------------------------------------------------------------------------
!> @brief recursively reads a line from a text file.
!!        Recursion is triggered by "{path/to/inputfile}" in a line
!--------------------------------------------------------------------------------------------------
recursive function IO_read(fileUnit,reset) result(line)
 
 implicit none
 integer(pInt), intent(in)           :: fileUnit                                                    !< file unit
 logical,       intent(in), optional :: reset

 integer(pInt), dimension(10) :: unitOn = 0_pInt                                                    ! save the stack of recursive file units
 integer(pInt)                :: stack = 1_pInt                                                     ! current stack position
 character(len=8192), dimension(10) :: pathOn = ''
 character(len=512)           :: path,input
 integer(pInt)                :: myStat
 character(len=65536)         :: line

 character(len=*), parameter  :: SEP = achar(47)//achar(92)                                         ! forward and backward slash ("/", "\")

!--------------------------------------------------------------------------------------------------
! reset case
 if(present(reset)) then; if (reset) then                                                           ! do not short circuit here
   do while (stack > 1_pInt)                                                                        ! can go back to former file
     close(unitOn(stack))
     stack = stack-1_pInt
   enddo
   return
 endif; endif


!--------------------------------------------------------------------------------------------------
! read from file
 unitOn(1) = fileUnit

 read(unitOn(stack),'(a65536)',END=100) line
 
 input = IO_getTag(line,'{','}')

!--------------------------------------------------------------------------------------------------
! normal case
 if (input == '') return                                                                            ! regular line
!--------------------------------------------------------------------------------------------------
! recursion case 
 if (stack >= 10_pInt) call IO_error(104_pInt,ext_msg=input)                                        ! recursion limit reached

 inquire(UNIT=unitOn(stack),NAME=path)                                                              ! path of current file
 stack = stack+1_pInt
 if(scan(input,SEP) == 1) then                                                                      ! absolut path given (UNIX only)
   pathOn(stack) = input
 else
   pathOn(stack) = path(1:scan(path,SEP,.true.))//input                                             ! glue include to current file's dir
 endif

 open(newunit=unitOn(stack),iostat=myStat,file=pathOn(stack))                                       ! open included file
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=pathOn(stack))

 line = IO_read(fileUnit)
 
 return
 
!--------------------------------------------------------------------------------------------------
! end of file case
100 if (stack > 1_pInt) then                                                                        ! can go back to former file
   close(unitOn(stack))
   stack = stack-1_pInt
   line = IO_read(fileUnit)
 else                                                                                               ! top-most file reached
   line = IO_EOF
 endif

end function IO_read


!--------------------------------------------------------------------------------------------------
!> @brief checks if unit is opened for reading, if true rewinds. Otherwise stops with
!!        error message
!--------------------------------------------------------------------------------------------------
subroutine IO_checkAndRewind(fileUnit)
 
 implicit none
 integer(pInt), intent(in) :: fileUnit                                                                !< file unit
 logical                   :: fileOpened
 character(len=15)         :: fileRead

 inquire(unit=fileUnit, opened=fileOpened, read = fileRead) 
 if (fileOpened .neqv. .true. .or. trim(fileRead)/='YES') call IO_error(102_pInt)
 rewind(fileUnit)

end subroutine IO_checkAndRewind


!--------------------------------------------------------------------------------------------------
!> @brief   opens existing file for reading to given unit. Path to file is relative to working 
!!          directory
!> @details like IO_open_file_stat, but error is handled via call to IO_error and not via return
!!          value
!--------------------------------------------------------------------------------------------------
subroutine IO_open_file(fileUnit,relPath)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName
 
 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                         !< file unit
 character(len=*),   intent(in) :: relPath                                                          !< relative path from working directory

 integer(pInt)                  :: myStat
 character(len=1024)            :: path
 
 path = trim(getSolverWorkingDirectoryName())//relPath
 open(fileUnit,status='old',iostat=myStat,file=path)
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
 
end subroutine IO_open_file


!--------------------------------------------------------------------------------------------------
!> @brief   opens existing file for reading to given unit. Path to file is relative to working 
!!          directory
!> @details Like IO_open_file, but error is handled via return value and not via call to IO_error
!--------------------------------------------------------------------------------------------------
logical function IO_open_file_stat(fileUnit,relPath)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName
 
 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                         !< file unit
 character(len=*),   intent(in) :: relPath                                                          !< relative path from working directory

 integer(pInt)                  :: myStat
 character(len=1024)            :: path
 
 path = trim(getSolverWorkingDirectoryName())//relPath
 open(fileUnit,status='old',iostat=myStat,file=path)
 IO_open_file_stat = (myStat == 0_pInt)
 
end function IO_open_file_stat


!--------------------------------------------------------------------------------------------------
!> @brief   opens existing file for reading to given unit. File is named after solver job name 
!!          plus given extension and located in current working directory 
!> @details like IO_open_jobFile_stat, but error is handled via call to IO_error and not via return
!!          value
!--------------------------------------------------------------------------------------------------
subroutine IO_open_jobFile(fileUnit,ext)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName, &
   getSolverJobName

 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                         !< file unit
 character(len=*),   intent(in) :: ext                                                              !< extension of file

 integer(pInt)                  :: myStat
 character(len=1024)            :: path

 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//'.'//ext
 open(fileUnit,status='old',iostat=myStat,file=path)
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
 
end subroutine IO_open_jobFile


!--------------------------------------------------------------------------------------------------
!> @brief   opens existing file for reading to given unit. File is named after solver job name 
!!          plus given extension and located in current working directory 
!> @details Like IO_open_jobFile, but error is handled via return value and not via call to 
!!          IO_error
!--------------------------------------------------------------------------------------------------
logical function IO_open_jobFile_stat(fileUnit,ext)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName, &
   getSolverJobName

 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                         !< file unit
 character(len=*),   intent(in) :: ext                                                              !< extension of file

 integer(pInt)                  :: myStat
 character(len=1024)            :: path

 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//'.'//ext
 open(fileUnit,status='old',iostat=myStat,file=path)
 IO_open_jobFile_stat = (myStat == 0_pInt)

end function IO_open_JobFile_stat


#ifndef Spectral
#ifndef FEM
!--------------------------------------------------------------------------------------------------
!> @brief opens FEM input file for reading located in current working directory to given unit
!--------------------------------------------------------------------------------------------------
subroutine IO_open_inputFile(fileUnit,modelName)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName,&
   getSolverJobName, &
   inputFileExtension

 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                         !< file unit
 character(len=*),   intent(in) :: modelName                                                        !< model name, in case of restart not solver job name

 integer(pInt)                  :: myStat
 character(len=1024)            :: path
#ifdef Abaqus
 integer(pInt)                  :: fileType
 
 fileType = 1_pInt                                                                                  ! assume .pes
 path = trim(getSolverWorkingDirectoryName())//trim(modelName)//inputFileExtension(fileType)        ! attempt .pes, if it exists: it should be used
 open(fileUnit+1,status='old',iostat=myStat,file=path)
 if(myStat /= 0_pInt) then                                                                          ! if .pes does not work / exist; use conventional extension, i.e.".inp"
    fileType = 2_pInt
    path = trim(getSolverWorkingDirectoryName())//trim(modelName)//inputFileExtension(fileType)
    open(fileUnit+1,status='old',iostat=myStat,file=path)
 endif
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
   
 path = trim(getSolverWorkingDirectoryName())//trim(modelName)//inputFileExtension(fileType)//'_assembly'
 open(fileUnit,iostat=myStat,file=path)
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
    if (.not.abaqus_assembleInputFile(fileUnit,fileUnit+1_pInt)) call IO_error(103_pInt)            ! strip comments and concatenate any "include"s
 close(fileUnit+1_pInt) 
#endif
#ifdef Marc4DAMASK
   path = trim(getSolverWorkingDirectoryName())//trim(modelName)//inputFileExtension
   open(fileUnit,status='old',iostat=myStat,file=path)
   if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
#endif

end subroutine IO_open_inputFile


!--------------------------------------------------------------------------------------------------
!> @brief opens existing FEM log file for reading to given unit. File is named after solver job 
!!        name and located in current working directory 
!--------------------------------------------------------------------------------------------------
subroutine IO_open_logFile(fileUnit)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName, &
   getSolverJobName, &
   LogFileExtension

 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                           !< file unit

 integer(pInt)                  :: myStat
 character(len=1024)            :: path

 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//LogFileExtension
 open(fileUnit,status='old',iostat=myStat,file=path)
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)

end subroutine IO_open_logFile
#endif
#endif


!--------------------------------------------------------------------------------------------------
!> @brief opens ASCII file to given unit for writing. File is named after solver job name plus 
!!        given extension and located in current working directory
!--------------------------------------------------------------------------------------------------
subroutine IO_write_jobFile(fileUnit,ext)
 use DAMASK_interface,  only: &
   getSolverWorkingDirectoryName, &
   getSolverJobName
 
 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                         !< file unit
 character(len=*),   intent(in) :: ext                                                              !< extension of file

 integer(pInt)                  :: myStat
 character(len=1024)            :: path

 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//'.'//ext
 open(fileUnit,status='replace',iostat=myStat,file=path)
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
 
end subroutine IO_write_jobFile


!--------------------------------------------------------------------------------------------------
!> @brief opens binary file containing array of pReal numbers to given unit for writing. File is 
!!        named after solver job name plus given extension and located in current working directory
!--------------------------------------------------------------------------------------------------
subroutine IO_write_jobRealFile(fileUnit,ext,recMultiplier)
 use DAMASK_interface, only: & 
   getSolverWorkingDirectoryName, &
   getSolverJobName
 
 implicit none
 integer(pInt),      intent(in)           :: fileUnit                                               !< file unit
 character(len=*),   intent(in)           :: ext                                                    !< extension of file
 integer(pInt),      intent(in), optional :: recMultiplier                                          !< record length (multiple of pReal Numbers, if not given set to one)

 integer(pInt)                            :: myStat
 character(len=1024)                      :: path

 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//'.'//ext
 if (present(recMultiplier)) then
   open(fileUnit,status='replace',form='unformatted',access='direct', &
                                                   recl=pReal*recMultiplier,iostat=myStat,file=path)
 else
   open(fileUnit,status='replace',form='unformatted',access='direct', &
                                                   recl=pReal,iostat=myStat,file=path)
 endif

 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
 
end subroutine IO_write_jobRealFile


!--------------------------------------------------------------------------------------------------
!> @brief opens binary file containing array of pInt numbers to given unit for writing. File is 
!!        named after solver job name plus given extension and located in current working directory
!--------------------------------------------------------------------------------------------------
subroutine IO_write_jobIntFile(fileUnit,ext,recMultiplier)
 use DAMASK_interface,  only: &
   getSolverWorkingDirectoryName, &
   getSolverJobName
 
 implicit none
 integer(pInt),      intent(in)           :: fileUnit                                               !< file unit
 character(len=*),   intent(in)           :: ext                                                    !< extension of file
 integer(pInt),      intent(in), optional :: recMultiplier                                          !< record length (multiple of pReal Numbers, if not given set to one)

 integer(pInt)                            :: myStat
 character(len=1024)                      :: path

 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//'.'//ext
 if (present(recMultiplier)) then
   open(fileUnit,status='replace',form='unformatted',access='direct', &
                 recl=pInt*recMultiplier,iostat=myStat,file=path)
 else
   open(fileUnit,status='replace',form='unformatted',access='direct', &
                 recl=pInt,iostat=myStat,file=path)
 endif

 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
 
end subroutine IO_write_jobIntFile


!--------------------------------------------------------------------------------------------------
!> @brief opens binary file containing array of pReal numbers to given unit for reading. File is 
!!        located in current working directory
!--------------------------------------------------------------------------------------------------
subroutine IO_read_realFile(fileUnit,ext,modelName,recMultiplier)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName
 
 implicit none
 integer(pInt),      intent(in)           :: fileUnit                                               !< file unit
 character(len=*),   intent(in)           :: ext, &                                                 !< extension of file       
                                             modelName                                              !< model name, in case of restart not solver job name
 integer(pInt),      intent(in), optional :: recMultiplier                                          !< record length (multiple of pReal Numbers, if not given set to one)

 integer(pInt)                            :: myStat
 character(len=1024)                      :: path

 path = trim(getSolverWorkingDirectoryName())//trim(modelName)//'.'//ext
 if (present(recMultiplier)) then
   open(fileUnit,status='old',form='unformatted',access='direct', & 
                 recl=pReal*recMultiplier,iostat=myStat,file=path)
 else
   open(fileUnit,status='old',form='unformatted',access='direct', &
                 recl=pReal,iostat=myStat,file=path)
 endif
 if (myStat /= 0_pInt) call IO_error(100_pInt,el=myStat,ext_msg=path)
 
end subroutine IO_read_realFile


!--------------------------------------------------------------------------------------------------
!> @brief opens binary file containing array of pInt numbers to given unit for reading. File is 
!!        located in current working directory
!--------------------------------------------------------------------------------------------------
subroutine IO_read_intFile(fileUnit,ext,modelName,recMultiplier)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName
 
 implicit none
 integer(pInt),      intent(in)           :: fileUnit                                               !< file unit
 character(len=*),   intent(in)           :: ext, &                                                 !< extension of file       
                                             modelName                                              !< model name, in case of restart not solver job name
 integer(pInt),      intent(in), optional :: recMultiplier                                          !< record length (multiple of pReal Numbers, if not given set to one)

 integer(pInt)                            :: myStat
 character(len=1024)                      :: path

 path = trim(getSolverWorkingDirectoryName())//trim(modelName)//'.'//ext
 if (present(recMultiplier)) then
   open(fileUnit,status='old',form='unformatted',access='direct', & 
                 recl=pInt*recMultiplier,iostat=myStat,file=path)
 else
   open(fileUnit,status='old',form='unformatted',access='direct', &
                 recl=pInt,iostat=myStat,file=path)
 endif
 if (myStat /= 0) call IO_error(100_pInt,ext_msg=path)
 
end subroutine IO_read_intFile


#ifdef Abaqus
!--------------------------------------------------------------------------------------------------
!> @brief check if the input file for Abaqus contains part info
!--------------------------------------------------------------------------------------------------
logical function IO_abaqus_hasNoPart(fileUnit)

 implicit none
 integer(pInt),    intent(in)                :: fileUnit

 integer(pInt),    parameter                 :: MAXNCHUNKS = 1_pInt
 integer(pInt),    dimension(1+2*MAXNCHUNKS) :: myPos
 character(len=65536)                        :: line
 
 IO_abaqus_hasNoPart = .true.
 
610 FORMAT(A65536)
 rewind(fileUnit)
 do
   read(fileUnit,610,END=620) line
   myPos = IO_stringPos(line,MAXNCHUNKS)
   if (IO_lc(IO_stringValue(line,myPos,1_pInt)) == '*part' ) then
     IO_abaqus_hasNoPart = .false.
     exit
   endif
 enddo
 
620 end function IO_abaqus_hasNoPart
#endif

!--------------------------------------------------------------------------------------------------
!> @brief hybrid IA sampling of ODFfile
!--------------------------------------------------------------------------------------------------
function IO_hybridIA(Nast,ODFfileName)

 implicit none
 integer(pInt),                 intent(in)   :: Nast                                              !< number of samples?
 real(pReal), dimension(3,Nast)              :: IO_hybridIA
 character(len=*),              intent(in)   :: ODFfileName                                       !< name of ODF file including total path
  
!--------------------------------------------------------------------------------------------------
! math module is not available
 real(pReal),      parameter  :: PI = 3.14159265358979323846264338327950288419716939937510_pReal
 real(pReal),      parameter  :: INRAD = PI/180.0_pReal
 character(len=*), parameter  :: fileFormat = '(A80)'

 integer(pInt) :: i,j,bin,NnonZero,Nset,Nreps,reps,phi1,Phi,phi2
 integer(pInt), dimension(7)                :: myPos
 integer(pInt), dimension(3)                :: steps
 integer(pInt), dimension(:), allocatable   :: binSet
 real(pReal) :: center,sum_dV_V,prob,dg_0,C,lowerC,upperC,rnd
 real(pReal), dimension(3)                  :: limits, &
                                               deltas

 real(pReal), dimension(:,:,:), allocatable :: dV_V
 character(len=80) :: line
 
!--------------------------------------------------------------------------------------------------
! parse header of ODF file 
 call IO_open_file(999_pInt,ODFfileName)
 IO_hybridIA = -1.0_pReal                                                                           ! initialize return value for case of error

!--------------------------------------------------------------------------------------------------
! limits in phi1, Phi, phi2
 read(999,fmt=fileFormat,end=100) line
 myPos = IO_stringPos(line,3_pInt)
 if (myPos(1) == 3) then                                                                            ! found 3 chunks
   do i = 1_pInt, 3_pInt
     limits(i) = IO_floatValue(line,myPos,i)*INRAD
   enddo
 else                                                                                               ! wrong line format
   close(999)
   return
 endif

!--------------------------------------------------------------------------------------------------
! deltas in phi1, Phi, phi2 
 read(999,fmt=fileFormat,end=100) line
 myPos = IO_stringPos(line,3_pInt)
 if (myPos(1) == 3) then                                                                            ! found 3 chunks
   do i = 1_pInt, 3_pInt
     deltas(i) = IO_floatValue(line,myPos,i)*INRAD
   enddo
 else                                                                                               ! wrong line format
   close(999)
   return
 endif
 
 steps = nint(limits/deltas,pInt)
 allocate(dV_V(steps(3),steps(2),steps(1)))

!--------------------------------------------------------------------------------------------------
! box boundary/center at origin? 
 read(999,fmt=fileFormat,end=100) line
 if (index(IO_lc(line),'bound')>0) then
   center = 0.5_pReal
 else
   center = 0.0_pReal
 endif
 
 read(999,fmt=fileFormat,end=100) line                                                              ! skip blank line

 sum_dV_V = 0.0_pReal
 dV_V = 0.0_pReal
 dg_0 = deltas(1)*deltas(3)*2.0_pReal*sin(deltas(2)/2.0_pReal)
 NnonZero = 0_pInt
 
 do phi1=1_pInt,steps(1); do Phi=1_pInt,steps(2); do phi2=1_pInt,steps(3)
   read(999,fmt=*,end=100) prob
   if (prob > 0.0_pReal) then
      NnonZero = NnonZero+1_pInt
      sum_dV_V = sum_dV_V+prob
    else
      prob = 0.0_pReal
    endif
    dV_V(phi2,Phi,phi1) = prob*dg_0*sin((Phi-1.0_pReal+center)*deltas(2))
 enddo; enddo; enddo  

 dV_V = dV_V/sum_dV_V                                                                               ! normalize to 1
 
!--------------------------------------------------------------------------------------------------
! now fix bounds
 Nset = max(Nast,NnonZero)                                                                          ! if less than non-zero voxel count requested, sample at least that much
 lowerC = 0.0_pReal
 upperC = real(Nset, pReal)
 
 do while (hybridIA_reps(dV_V,steps,upperC) < Nset)
   lowerC = upperC
   upperC = upperC*2.0_pReal
 enddo

!--------------------------------------------------------------------------------------------------
! binary search for best C
 do
   C = (upperC+lowerC)/2.0_pReal
   Nreps = hybridIA_reps(dV_V,steps,C)
   if (abs(upperC-lowerC) < upperC*1.0e-14_pReal) then
     C = upperC
     Nreps = hybridIA_reps(dV_V,steps,C)
     exit
   elseif (Nreps < Nset) then
     lowerC = C
   elseif (Nreps > Nset) then
     upperC = C
   else
     exit
   endif
 enddo

 allocate(binSet(Nreps))
 bin = 0_pInt                                                                                       ! bin counter
 i = 1_pInt                                                                                         ! set counter
 do phi1=1_pInt,steps(1); do Phi=1_pInt,steps(2) ;do phi2=1_pInt,steps(3)
   reps = nint(C*dV_V(phi2,Phi,phi1), pInt)
   binSet(i:i+reps-1) = bin
   bin = bin+1_pInt                                                                                 ! advance bin
   i = i+reps                                                                                       ! advance set
 enddo; enddo; enddo

 do i=1_pInt,Nast
   if (i < Nast) then
     call random_number(rnd)
     j = nint(rnd*(Nreps-i)+i+0.5_pReal,pInt)
   else
     j = i
   endif
   bin = binSet(j)
   IO_hybridIA(1,i) = deltas(1)*(real(mod(bin/(steps(3)*steps(2)),steps(1)),pReal)+center)          ! phi1
   IO_hybridIA(2,i) = deltas(2)*(real(mod(bin/ steps(3)          ,steps(2)),pReal)+center)          ! Phi
   IO_hybridIA(3,i) = deltas(3)*(real(mod(bin                    ,steps(3)),pReal)+center)          ! phi2
   binSet(j) = binSet(i)
 enddo

100 close(999)

end function IO_hybridIA


!--------------------------------------------------------------------------------------------------
!> @brief identifies strings without content
!--------------------------------------------------------------------------------------------------
logical pure function IO_isBlank(string)

 implicit none
 character(len=*), intent(in) :: string                                                             !< string to check for content

 character(len=*),  parameter :: blankChar = achar(32)//achar(9)//achar(10)//achar(13)              ! whitespaces
 character(len=*),  parameter :: comment = achar(35)                                                ! comment id '#'

 integer :: posNonBlank, posComment                                                                 ! no pInt
 
 posNonBlank = verify(string,blankChar)
 posComment  = scan(string,comment)
 IO_isBlank = posNonBlank == 0 .or. posNonBlank == posComment
 
end function IO_isBlank


!--------------------------------------------------------------------------------------------------
!> @brief get tagged content of string
!--------------------------------------------------------------------------------------------------
pure function IO_getTag(string,openChar,closeChar)

 implicit none
 character(len=*), intent(in)  :: string                                                            !< string to check for tag
 character(len=len_trim(string)) :: IO_getTag
 
 character(len=*), intent(in)  :: openChar, &                                                       !< indicates beginning of tag 
                                  closeChar                                                         !< indicates end of tag

 character(len=*), parameter   :: SEP=achar(32)//achar(9)//achar(10)//achar(13)                     ! whitespaces

 integer :: left,right                                                                              ! no pInt

 IO_getTag = ''
 left = scan(string,openChar)
 right = scan(string,closeChar)
 
 if (left == verify(string,SEP) .and. right > left) &                                               ! openChar is first and closeChar occurs
   IO_getTag = string(left+1:right-1)

end function IO_getTag


!--------------------------------------------------------------------------------------------------
!> @brief count number of [sections] in <part> for given file handle
!--------------------------------------------------------------------------------------------------
integer(pInt) function IO_countSections(fileUnit,part)

 implicit none
 integer(pInt),      intent(in) :: fileUnit                                                         !< file handle 
 character(len=*),   intent(in) :: part                                                             !< part name in which sections are counted

 character(len=65536)           :: line

 line = ''
 IO_countSections = 0_pInt
 rewind(fileUnit)

 do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= part)                       ! search for part
   line = IO_read(fileUnit)
 enddo

 do while (trim(line) /= IO_EOF)
   line = IO_read(fileUnit)
   if (IO_isBlank(line)) cycle                                                                      ! skip empty lines
   if (IO_getTag(line,'<','>') /= '') then                                                          ! stop at next part
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read
     exit                                                                                           
   endif
   if (IO_getTag(line,'[',']') /= '') &                                                             ! found [section] identifier
     IO_countSections = IO_countSections + 1_pInt
 enddo

end function IO_countSections
 

!--------------------------------------------------------------------------------------------------
!> @brief returns array of tag counts within <part> for at most N [sections]
!--------------------------------------------------------------------------------------------------
function IO_countTagInPart(fileUnit,part,tag,Nsections)

 implicit none
 integer(pInt),   intent(in)                :: Nsections                                            !< maximum number of sections in which tag is searched for
 integer(pInt),   dimension(Nsections)      :: IO_countTagInPart
 integer(pInt),   intent(in)                :: fileUnit                                             !< file handle 
 character(len=*),intent(in)                :: part, &                                              !< part in which tag is searched for
                                               tag                                                  !< tag to search for

 integer(pInt),   parameter                 :: MAXNCHUNKS = 1_pInt

 integer(pInt),   dimension(Nsections)      :: counter
 integer(pInt),   dimension(1+2*MAXNCHUNKS) :: positions
 integer(pInt)                              :: section
 character(len=65536)                       :: line
 
 line = ''
 counter = 0_pInt
 section = 0_pInt

 rewind(fileUnit) 
 do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= part)                       ! search for part
   line = IO_read(fileUnit)
 enddo

 do while (trim(line) /= IO_EOF)
   line = IO_read(fileUnit)
   if (IO_isBlank(line)) cycle                                                                      ! skip empty lines
   if (IO_getTag(line,'<','>') /= '') then                                                          ! stop at next part
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read
     exit                                                                                           
   endif
   if (IO_getTag(line,'[',']') /= '') section = section + 1_pInt                                    ! found [section] identifier
   if (section > 0) then
     positions = IO_stringPos(line,MAXNCHUNKS)
     if (tag == trim(IO_lc(IO_stringValue(line,positions,1_pInt)))) &                               ! match
       counter(section) = counter(section) + 1_pInt
   endif   
 enddo

 IO_countTagInPart = counter

end function IO_countTagInPart


!--------------------------------------------------------------------------------------------------
!> @brief returns array of tag presence within <part> for at most N [sections]
!--------------------------------------------------------------------------------------------------
function IO_spotTagInPart(fileUnit,part,tag,Nsections)

 implicit none
 integer(pInt),   intent(in)                :: Nsections                                            !< maximum number of sections in which tag is searched for
 logical,         dimension(Nsections)      :: IO_spotTagInPart
 integer(pInt),   intent(in)                :: fileUnit                                             !< file handle 
 character(len=*),intent(in)                :: part, &                                              !< part in which tag is searched for
                                               tag                                                  !< tag to search for

 integer(pInt), parameter      :: MAXNCHUNKS = 1_pInt

 integer(pInt), dimension(1+2*MAXNCHUNKS) :: positions
 integer(pInt)                            :: section
 character(len=65536)                     :: line

 IO_spotTagInPart = .false.                                                                         ! assume to nowhere spot tag
 section = 0_pInt
 line =''

 rewind(fileUnit)
 do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= part)                       ! search for part
   line = IO_read(fileUnit)
 enddo

 do while (trim(line) /= IO_EOF)
   line = IO_read(fileUnit)
   if (IO_isBlank(line)) cycle                                                                      ! skip empty lines
   if (IO_getTag(line,'<','>') /= '') then                                                          ! stop at next part
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read
     exit                                                                                           
   endif
   if (IO_getTag(line,'[',']') /= '') section = section + 1_pInt                                    ! found [section] identifier
   if (section > 0_pInt) then
     positions = IO_stringPos(line,MAXNCHUNKS)                                          
     if (tag == trim(IO_lc(IO_stringValue(line,positions,1_pInt)))) &                               ! matsch                                                                    ! match
       IO_spotTagInPart(section) = .true.
   endif
 enddo

 end function IO_spotTagInPart


!--------------------------------------------------------------------------------------------------
!> @brief return logical whether tag is present within <part> before any [sections]
!--------------------------------------------------------------------------------------------------
logical function IO_globalTagInPart(fileUnit,part,tag)

 implicit none
 integer(pInt),   intent(in)                :: fileUnit                                             !< file handle 
 character(len=*),intent(in)                :: part, &                                              !< part in which tag is searched for
                                               tag                                                  !< tag to search for

 integer(pInt), parameter      :: MAXNCHUNKS = 1_pInt

 integer(pInt), dimension(1+2*MAXNCHUNKS) :: positions
 integer(pInt)                            :: section
 character(len=65536)                     :: line

 IO_globalTagInPart = .false.                                                                       ! assume to nowhere spot tag
 section = 0_pInt
 line =''

 rewind(fileUnit)
 do while (trim(line) /= IO_EOF .and. IO_lc(IO_getTag(line,'<','>')) /= part)                       ! search for part
   line = IO_read(fileUnit)
 enddo

 do while (trim(line) /= IO_EOF)
   line = IO_read(fileUnit)
   if (IO_isBlank(line)) cycle                                                                      ! skip empty lines
   if (IO_getTag(line,'<','>') /= '') then                                                          ! stop at next part
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read
     exit                                                                                           
   endif
   if (IO_getTag(line,'[',']') /= '') section = section + 1_pInt                                    ! found [section] identifier
   if (section == 0_pInt) then
     positions = IO_stringPos(line,MAXNCHUNKS)
     if (tag == trim(IO_lc(IO_stringValue(line,positions,1_pInt)))) &                               ! match
       IO_globalTagInPart = .true.
   endif   
 enddo

end function IO_globalTagInPart


!--------------------------------------------------------------------------------------------------
!> @brief locates at most N space-separated parts in string and returns array containing number of 
!! parts in string and the left/right positions of at most N to be used by IO_xxxVal
!! IMPORTANT: first element contains number of chunks!
!--------------------------------------------------------------------------------------------------
pure function IO_stringPos(string,N)

 implicit none
 integer(pInt),                           intent(in) :: N                                           !< maximum number of parts
 integer(pInt), dimension(1_pInt+N*2_pInt)           :: IO_stringPos
 character(len=*),                        intent(in) :: string                                      !< string in which parts are searched for
 
 character(len=*), parameter  :: SEP=achar(44)//achar(32)//achar(9)//achar(10)//achar(13)           ! comma and whitespaces
 integer                      :: left, right                                                        ! no pInt (verify and scan return default integer)


 IO_stringPos = -1_pInt
 IO_stringPos(1) = 0_pInt
 right = 0
 
 do while (verify(string(right+1:),SEP)>0)
   left  = right + verify(string(right+1:),SEP)
   right = left + scan(string(left:),SEP) - 2
   if ( string(left:left) == '#' ) then
     exit
   endif
   if ( IO_stringPos(1)<N ) then
     IO_stringPos(1_pInt+IO_stringPos(1)*2_pInt+1_pInt) = int(left, pInt)
     IO_stringPos(1_pInt+IO_stringPos(1)*2_pInt+2_pInt) = int(right, pInt)
   endif
   IO_stringPos(1) = IO_stringPos(1)+1_pInt
 enddo

end function IO_stringPos


!--------------------------------------------------------------------------------------------------
!> @brief reads string value at myPos from string
!--------------------------------------------------------------------------------------------------
function IO_stringValue(string,positions,myPos,silent)
 
 implicit none
 integer(pInt),   dimension(:),                intent(in) :: positions                            !< positions of tags in string
 integer(pInt),                                intent(in) :: myPos                                !< position of desired sub string
 character(len=1+positions(myPos*2+1)-positions(myPos*2)) :: IO_stringValue
 character(len=*),                             intent(in) :: string                               !< raw input with known positions
 logical,                             optional,intent(in) :: silent                               !< switch to trigger verbosity
 character(len=16), parameter                             :: MYNAME = 'IO_stringValue: '

 logical                                                  :: warn
 
 if (.not. present(silent)) then
   warn = .false.
 else
   warn = silent
 endif
 
 IO_stringValue = ''
 if (myPos > positions(1) .or. myPos < 1_pInt) then                                               ! trying to access non-present value
   if (warn) call IO_warning(201,el=myPos,ext_msg=MYNAME//trim(string))
 else
   IO_stringValue = string(positions(myPos*2):positions(myPos*2+1))
 endif

end function IO_stringValue


!--------------------------------------------------------------------------------------------------
!> @brief reads string value at myPos from fixed format string
!--------------------------------------------------------------------------------------------------
pure function IO_fixedStringValue (string,ends,myPos)
 
 implicit none
 integer(pInt),                  intent(in) :: myPos                                              !< position of desired sub string
 integer(pInt),   dimension(:),  intent(in) :: ends                                               !< positions of ends in string
 character(len=ends(myPos+1)-ends(myPos))   :: IO_fixedStringValue 
 character(len=*),               intent(in) :: string                                             !< raw input with known ends

 IO_fixedStringValue = string(ends(myPos)+1:ends(myPos+1))

end function IO_fixedStringValue


!--------------------------------------------------------------------------------------------------
!> @brief reads float value at myPos from string
!--------------------------------------------------------------------------------------------------
real(pReal) function IO_floatValue (string,positions,myPos)

 implicit none
 integer(pInt),   dimension(:),                intent(in) :: positions                            !< positions of tags in string
 integer(pInt),                                intent(in) :: myPos                                !< position of desired sub string
 character(len=*),                             intent(in) :: string                               !< raw input with known positions
 character(len=15),              parameter  :: MYNAME = 'IO_floatValue: '
 character(len=17),              parameter  :: VALIDCHARACTERS = '0123456789eEdD.+-'

 IO_floatValue = 0.0_pReal

 if (myPos > positions(1) .or. myPos < 1_pInt) then                                               ! trying to access non-present value
   call IO_warning(201,el=myPos,ext_msg=MYNAME//trim(string))
 else
   IO_floatValue = &
               IO_verifyFloatValue(trim(adjustl(string(positions(myPos*2):positions(myPos*2+1)))),&
                                       VALIDCHARACTERS,MYNAME)
 endif

end function IO_floatValue


!--------------------------------------------------------------------------------------------------
!> @brief reads float value at myPos from fixed format string
!--------------------------------------------------------------------------------------------------
real(pReal) function IO_fixedFloatValue (string,ends,myPos)
 
 implicit none
 character(len=*),               intent(in) :: string                                             !< raw input with known ends
 integer(pInt),                  intent(in) :: myPos                                              !< position of desired sub string
 integer(pInt),   dimension(:),  intent(in) :: ends                                               !< positions of ends in string
 character(len=20),              parameter  :: MYNAME = 'IO_fixedFloatValue: '
 character(len=17),              parameter  :: VALIDCHARACTERS = '0123456789eEdD.+-'

 IO_fixedFloatValue = &
                  IO_verifyFloatValue(trim(adjustl(string(ends(myPos)+1_pInt:ends(myPos+1_pInt)))),&
                                          VALIDCHARACTERS,MYNAME)

end function IO_fixedFloatValue


!--------------------------------------------------------------------------------------------------
!> @brief reads float x.y+z value at myPos from format string
!--------------------------------------------------------------------------------------------------
real(pReal) function IO_fixedNoEFloatValue (string,ends,myPos)

 implicit none
 character(len=*),               intent(in) :: string                                             !< raw input with known ends
 integer(pInt),                  intent(in) :: myPos                                              !< position of desired sub string
 integer(pInt),   dimension(:),  intent(in) :: ends                                               !< positions of ends in string
 character(len=22),              parameter  :: MYNAME = 'IO_fixedNoEFloatValue '
 character(len=13),              parameter  :: VALIDBASE = '0123456789.+-'
 character(len=12),              parameter  :: VALIDEXP  = '0123456789+-'
 
 real(pReal)   :: base
 integer(pInt) :: expon
 integer       :: pos_exp
 
 pos_exp = scan(string(ends(myPos)+1:ends(myPos+1)),'+-',back=.true.)
 if (pos_exp > 1) then
   base  = IO_verifyFloatValue(trim(adjustl(string(ends(myPos)+1_pInt:ends(myPos)+pos_exp-1_pInt))),&
                               VALIDBASE,MYNAME//'(base): ')
   expon = IO_verifyIntValue(trim(adjustl(string(ends(myPos)+pos_exp:ends(myPos+1_pInt)))),&
                               VALIDEXP,MYNAME//'(exp): ')
 else
   base  = IO_verifyFloatValue(trim(adjustl(string(ends(myPos)+1_pInt:ends(myPos+1_pInt)))),&
                               VALIDBASE,MYNAME//'(base): ')
   expon = 0_pInt
 endif
 IO_fixedNoEFloatValue = base*10.0_pReal**real(expon,pReal)

end function IO_fixedNoEFloatValue


!--------------------------------------------------------------------------------------------------
!> @brief reads integer value at myPos from string
!--------------------------------------------------------------------------------------------------
integer(pInt) function IO_intValue(string,ends,myPos)

 implicit none
 character(len=*),               intent(in) :: string                                             !< raw input with known ends
 integer(pInt),                  intent(in) :: myPos                                              !< position of desired sub string
 integer(pInt),   dimension(:),  intent(in) :: ends                                               !< positions of ends in string
 character(len=13),              parameter  :: MYNAME = 'IO_intValue: '
 character(len=12),              parameter  :: VALIDCHARACTERS = '0123456789+-'

 IO_intValue = 0_pInt

 if (myPos > ends(1) .or. myPos < 1_pInt) then                                                    ! trying to access non-present value
   call IO_warning(201,el=myPos,ext_msg=MYNAME//trim(string))
 else
   IO_intValue = IO_verifyIntValue(trim(adjustl(string(ends(myPos*2):ends(myPos*2+1)))),&
                                   VALIDCHARACTERS,MYNAME)
 endif

end function IO_intValue


!--------------------------------------------------------------------------------------------------
!> @brief reads integer value at myPos from fixed format string
!--------------------------------------------------------------------------------------------------
integer(pInt) function IO_fixedIntValue(string,ends,myPos)
 
 implicit none
 character(len=*),               intent(in) :: string                                             !< raw input with known ends
 integer(pInt),                  intent(in) :: myPos                                              !< position of desired sub string
 integer(pInt),   dimension(:),  intent(in) :: ends                                               !< positions of ends in string
 character(len=20),              parameter  :: MYNAME = 'IO_fixedIntValue: '
 character(len=12),              parameter  :: VALIDCHARACTERS = '0123456789+-'

 IO_fixedIntValue = IO_verifyIntValue(trim(adjustl(string(ends(myPos)+1_pInt:ends(myPos+1_pInt)))),&
                                      VALIDCHARACTERS,MYNAME)

end function IO_fixedIntValue


!--------------------------------------------------------------------------------------------------
!> @brief changes characters in string to lower case
!--------------------------------------------------------------------------------------------------
pure function IO_lc(string)

 implicit none
 character(len=*), intent(in) :: string                                                             !< string to convert
 character(len=len(string))   :: IO_lc

 character(26), parameter :: LOWER = 'abcdefghijklmnopqrstuvwxyz'
 character(26), parameter :: UPPER = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 
 
 integer                      :: i,n                                                                ! no pInt (len returns default integer)

 IO_lc = string
 do i=1,len(string)
   n = index(UPPER,IO_lc(i:i))
   if (n/=0) IO_lc(i:i) = LOWER(n:n)
 enddo

end function IO_lc


!--------------------------------------------------------------------------------------------------
!> @brief changes character string to lower case in place
!--------------------------------------------------------------------------------------------------
pure subroutine IO_lcInplace(string)

 implicit none
 character(len=*), intent(inout) :: string                                                         !< string to convert in place
 character(len=len(string))      :: IO_lc

 character(26), parameter :: LOWER = 'abcdefghijklmnopqrstuvwxyz'
 character(26), parameter :: UPPER = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 

 integer                         :: i,n                                                            ! no pInt (len returns default integer)

 do i=1,len(string)
   n = index(UPPER,string(i:i))
   if (n/=0) then 
     IO_lc(i:i) = LOWER(n:n)
   else
     IO_lc(i:i) = string(i:i)
   endif 
 enddo

end subroutine IO_lcInplace


!--------------------------------------------------------------------------------------------------
!> @brief reads file to skip (at least) N chunks (may be over multiple lines)
!--------------------------------------------------------------------------------------------------
subroutine IO_skipChunks(fileUnit,N)

 implicit none
 integer(pInt), intent(in)                :: fileUnit, &                                            !< file handle 
                                             N                                                      !< minimum number of chunks to skip 

 integer(pInt), parameter                 :: MAXNCHUNKS = 64_pInt
 
 integer(pInt)                            :: remainingChunks
 integer(pInt), dimension(1+2*MAXNCHUNKS) :: myPos
 character(len=65536)                     :: line

 line = ''
 remainingChunks = N

 do while (trim(line) /= IO_EOF .and. remainingChunks > 0)
   line = IO_read(fileUnit)
   myPos = IO_stringPos(line,MAXNCHUNKS)
   remainingChunks = remainingChunks - myPos(1)
 enddo
end subroutine IO_skipChunks


!--------------------------------------------------------------------------------------------------
!> @brief extracts string value from key=value pair and check whether key matches
!--------------------------------------------------------------------------------------------------
character(len=300) pure function IO_extractValue(pair,key)
 
 implicit none
 character(len=*), intent(in) :: pair, &                                                            !< key=value pair
                                 key                                                                !< key to be expected

 character(len=*), parameter  :: SEP = achar(61)                                                    ! '='

 integer                      :: myPos                                                              ! no pInt (scan returns default integer)

 IO_extractValue = ''

 myPos = scan(pair,SEP)
 if (myPos > 0 .and. pair(:myPos-1) == key(:myPos-1)) &                                             ! key matches expected key
   IO_extractValue = pair(myPos+1:)                                                                 ! extract value

end function IO_extractValue


!--------------------------------------------------------------------------------------------------
!> @brief count lines containig data up to next *keyword
!--------------------------------------------------------------------------------------------------
integer(pInt) function IO_countDataLines(fileUnit)

 implicit none
 integer(pInt), intent(in)                :: fileUnit                                               !< file handle 
 
 integer(pInt), parameter                 :: MAXNCHUNKS = 1_pInt

 integer(pInt), dimension(1+2*MAXNCHUNKS) :: myPos
 character(len=65536)                     :: line, &
                                             tmp

 IO_countDataLines = 0_pInt
 line = ''

 do while (trim(line) /= IO_EOF)
   line = IO_read(fileUnit)
   myPos = IO_stringPos(line,MAXNCHUNKS)
   tmp = IO_lc(IO_stringValue(line,myPos,1_pInt))
   if (tmp(1:1) == '*' .and. tmp(2:2) /= '*') then                                                  ! found keyword
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read                                                                                          
     exit
   else
     if (tmp(2:2) /= '*') IO_countDataLines = IO_countDataLines + 1_pInt
   endif
 enddo
 backspace(fileUnit)

end function IO_countDataLines

 
!--------------------------------------------------------------------------------------------------
!> @brief count items in consecutive lines depending on lines
!> @details Marc:      ints concatenated by "c" as last char or range of values a "to" b
!> Abaqus:    triplet of start,stop,inc
!> Spectral:  ints concatenated range of a "to" b, multiple entries with a "of" b
!--------------------------------------------------------------------------------------------------
integer(pInt) function IO_countContinuousIntValues(fileUnit)

 implicit none
 integer(pInt), intent(in) :: fileUnit
 
 integer(pInt), parameter :: MAXNCHUNKS = 8192_pInt
#ifdef Abaqus 
 integer(pInt)                            :: l,c
#endif
 integer(pInt), dimension(1+2*MAXNCHUNKS) :: myPos
 character(len=65536)                     :: line

 IO_countContinuousIntValues = 0_pInt
 line = ''

#ifndef Abaqus
 do while (trim(line) /= IO_EOF)
   line = IO_read(fileUnit)
   myPos = IO_stringPos(line,MAXNCHUNKS)
   if (myPos(1) < 1_pInt) then                                                                      ! empty line
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read 
     exit
   elseif (IO_lc(IO_stringValue(line,myPos,2_pInt)) == 'to' ) then                                  ! found range indicator
     IO_countContinuousIntValues = 1_pInt + IO_intValue(line,myPos,3_pInt) &
                                          - IO_intValue(line,myPos,1_pInt)
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read 
     exit                                                                                           ! only one single range indicator allowed
   else if (IO_lc(IO_stringValue(line,myPos,2_pInt)) == 'of' ) then                                 ! found multiple entries indicator
     IO_countContinuousIntValues = IO_intValue(line,myPos,1_pInt)
     line = IO_read(fileUnit, .true.)                                                               ! reset IO_read 
     exit                                                                                           ! only one single multiplier allowed
   else
     IO_countContinuousIntValues = IO_countContinuousIntValues+myPos(1)-1_pInt                      ! add line's count when assuming 'c'
     if ( IO_lc(IO_stringValue(line,myPos,myPos(1))) /= 'c' ) then                                  ! line finished, read last value
       IO_countContinuousIntValues = IO_countContinuousIntValues+1_pInt
       line = IO_read(fileUnit, .true.)                                                             ! reset IO_read 
       exit                                                                                         ! data ended
     endif
   endif
 enddo
#else
 c = IO_countDataLines(fileUnit)
 do l = 1_pInt,c
   backspace(fileUnit)                                                                              ! ToDo: substitute by rewind?
 enddo
 
 l = 1_pInt
 do while (trim(line) /= IO_EOF .and. l <= c)                                                       ! ToDo: is this correct
   l = l + 1_pInt
   line = IO_read(fileUnit)
   myPos = IO_stringPos(line,MAXNCHUNKS)
   IO_countContinuousIntValues = IO_countContinuousIntValues + 1_pInt + &                           ! assuming range generation
                                (IO_intValue(line,myPos,2_pInt)-IO_intValue(line,myPos,1_pInt))/&
                                                     max(1_pInt,IO_intValue(line,myPos,3_pInt))
 enddo
#endif

end function IO_countContinuousIntValues


!--------------------------------------------------------------------------------------------------
!> @brief return integer list corrsponding to items in consecutive lines.
!! First integer in array is counter
!> @details Marc:      ints concatenated by "c" as last char, range of a "to" b, or named set
!! Abaqus:    triplet of start,stop,inc or named set
!! Spectral:  ints concatenated range of a "to" b, multiple entries with a "of" b
!--------------------------------------------------------------------------------------------------
function IO_continuousIntValues(fileUnit,maxN,lookupName,lookupMap,lookupMaxN)

 implicit none
 integer(pInt),                     intent(in) :: maxN
 integer(pInt),     dimension(1+maxN)          :: IO_continuousIntValues
 
 integer(pInt),                     intent(in) :: fileUnit, &
                                                  lookupMaxN
 integer(pInt),     dimension(:,:), intent(in) :: lookupMap
 character(len=64), dimension(:),   intent(in) :: lookupName
 integer(pInt), parameter :: MAXNCHUNKS = 8192_pInt
 integer(pInt) :: i
#ifdef Abaqus
 integer(pInt) :: j,l,c,first,last
#endif

 integer(pInt), dimension(1+2*MAXNCHUNKS) :: myPos
 character(len=65536) line
 logical rangeGeneration

 IO_continuousIntValues = 0_pInt
 rangeGeneration = .false.

#ifndef Abaqus
 do
   read(fileUnit,'(A65536)',end=100) line
   myPos = IO_stringPos(line,MAXNCHUNKS)
   if (myPos(1) < 1_pInt) then                                                                      ! empty line
     exit
   elseif (verify(IO_stringValue(line,myPos,1_pInt),'0123456789') > 0) then                         ! a non-int, i.e. set name
     do i = 1_pInt, lookupMaxN                                                                      ! loop over known set names
       if (IO_stringValue(line,myPos,1_pInt) == lookupName(i)) then                                 ! found matching name
         IO_continuousIntValues = lookupMap(:,i)                                                    ! return resp. entity list
         exit
       endif
     enddo
     exit
   else if (myPos(1) > 2_pInt .and. IO_lc(IO_stringValue(line,myPos,2_pInt)) == 'to' ) then         ! found range indicator
     do i = IO_intValue(line,myPos,1_pInt),IO_intValue(line,myPos,3_pInt)
       IO_continuousIntValues(1) = IO_continuousIntValues(1) + 1_pInt
       IO_continuousIntValues(1+IO_continuousIntValues(1)) = i
     enddo
     exit
   else if (myPos(1) > 2_pInt .and. IO_lc(IO_stringValue(line,myPos,2_pInt)) == 'of' ) then         ! found multiple entries indicator
     IO_continuousIntValues(1) = IO_intValue(line,myPos,1_pInt)
     IO_continuousIntValues(2:IO_continuousIntValues(1)+1) = IO_intValue(line,myPos,3_pInt)
     exit
   else
     do i = 1_pInt,myPos(1)-1_pInt                                                                  ! interpret up to second to last value
       IO_continuousIntValues(1) = IO_continuousIntValues(1) + 1_pInt
       IO_continuousIntValues(1+IO_continuousIntValues(1)) = IO_intValue(line,myPos,i)
     enddo
     if ( IO_lc(IO_stringValue(line,myPos,myPos(1))) /= 'c' ) then                                  ! line finished, read last value
       IO_continuousIntValues(1) = IO_continuousIntValues(1) + 1_pInt
       IO_continuousIntValues(1+IO_continuousIntValues(1)) = IO_intValue(line,myPos,myPos(1))
       exit
     endif
   endif
 enddo
#else
 c = IO_countDataLines(fileUnit)
 do l = 1_pInt,c
   backspace(fileUnit)
 enddo
 
!--------------------------------------------------------------------------------------------------
! check if the element values in the elset are auto generated
 backspace(fileUnit)
 read(fileUnit,'(A65536)',end=100) line
 myPos = IO_stringPos(line,MAXNCHUNKS)
 do i = 1_pInt,myPos(1)
   if (IO_lc(IO_stringValue(line,myPos,i)) == 'generate') rangeGeneration = .true.
 enddo
 
 do l = 1_pInt,c
   read(fileUnit,'(A65536)',end=100) line
   myPos = IO_stringPos(line,MAXNCHUNKS)
   if (verify(IO_stringValue(line,myPos,1_pInt),'0123456789') > 0) then                             ! a non-int, i.e. set names follow on this line
     do i = 1_pInt,myPos(1)                                                                         ! loop over set names in line
       do j = 1_pInt,lookupMaxN                                                                     ! look thru known set names
         if (IO_stringValue(line,myPos,i) == lookupName(j)) then                                    ! found matching name
           first = 2_pInt + IO_continuousIntValues(1)                                               ! where to start appending data
           last  = first + lookupMap(1,j) - 1_pInt                                                  ! up to where to append data
           IO_continuousIntValues(first:last) = lookupMap(2:1+lookupMap(1,j),j)                     ! add resp. entity list
           IO_continuousIntValues(1) = IO_continuousIntValues(1) + lookupMap(1,j)                   ! count them
         endif
       enddo
     enddo
   else if (rangeGeneration) then                                                                   ! range generation
     do i = IO_intValue(line,myPos,1_pInt),IO_intValue(line,myPos,2_pInt),max(1_pInt,IO_intValue(line,myPos,3_pInt))
       IO_continuousIntValues(1) = IO_continuousIntValues(1) + 1_pInt
       IO_continuousIntValues(1+IO_continuousIntValues(1)) = i
     enddo
   else                                                                                             ! read individual elem nums
     do i = 1_pInt,myPos(1)
       IO_continuousIntValues(1) = IO_continuousIntValues(1) + 1_pInt
       IO_continuousIntValues(1+IO_continuousIntValues(1)) = IO_intValue(line,myPos,i)
     enddo
   endif
 enddo
#endif

100 end function IO_continuousIntValues


!--------------------------------------------------------------------------------------------------
!> @brief returns format string for integer values without leading zeros
!--------------------------------------------------------------------------------------------------
pure function IO_intOut(intToPrint)

  implicit none
  character(len=16) :: N_Digits
  character(len=34) :: IO_intOut
  integer(pInt), intent(in) :: intToPrint
  
  write(N_Digits, '(I16.16)') 1_pInt + int(log10(real(intToPrint)),pInt)
  IO_intOut = 'I'//trim(N_Digits)//'.'//trim(N_Digits)

end function IO_intOut


!--------------------------------------------------------------------------------------------------
!> @brief returns time stamp
!--------------------------------------------------------------------------------------------------
function IO_timeStamp()

  implicit none
  character(len=10) :: IO_timeStamp
  integer(pInt), dimension(8) :: values
  
  call DATE_AND_TIME(VALUES=values)
  write(IO_timeStamp,'(i2.2,a1,i2.2,a1,i2.2)') values(5),':',values(6),':',values(7)

end function IO_timeStamp


!--------------------------------------------------------------------------------------------------
!> @brief write error statements to standard out and terminate the Marc/spectral run with exit #9xxx
!> in ABAQUS either time step is reduced or execution terminated
!--------------------------------------------------------------------------------------------------
subroutine IO_error(error_ID,el,ip,g,ext_msg)

 implicit none
 integer(pInt),              intent(in) :: error_ID
 integer(pInt),    optional, intent(in) :: el,ip,g
 character(len=*), optional, intent(in) :: ext_msg
 
 external                               :: quit
 character(len=1024)                    :: msg
 character(len=1024)                    :: formatString
 
 select case (error_ID)

!--------------------------------------------------------------------------------------------------
! internal errors
 case (0_pInt)
   msg = 'internal check failed:'

!--------------------------------------------------------------------------------------------------
! file handling errors
 case (100_pInt)
   msg = 'could not open file:'
 case (101_pInt)
   msg = 'write error for file:'
 case (102_pInt)
   msg = 'could not read file:'
 case (103_pInt)
   msg = 'could not assemble input files'
 case (104_pInt)
   msg = '{input} recursion limit reached'
 case (105_pInt)
   msg = 'unknown output:'
 
!--------------------------------------------------------------------------------------------------
! material error messages and related messages in mesh
 case (150_pInt)
   msg = 'index out of bounds'
 case (151_pInt)
   msg = 'microstructure has no constituents'
 case (153_pInt)
   msg = 'sum of phase fractions differs from 1'
 case (154_pInt)
   msg = 'homogenization index out of bounds'
 case (155_pInt)
   msg = 'microstructure index out of bounds'
 case (156_pInt)
   msg = 'reading from ODF file'
 case (157_pInt)
   msg = 'illegal texture transformation specified'
 case (160_pInt)
   msg = 'no entries in config part'
 case (165_pInt)
   msg = 'homogenization configuration'
 case (170_pInt)
   msg = 'no homogenization specified via State Variable 2'
 case (180_pInt)
   msg = 'no microstructure specified via State Variable 3'
 case (190_pInt)
   msg = 'unknown element type:'

!--------------------------------------------------------------------------------------------------
! plasticity error messages
 case (200_pInt)
   msg = 'unknown elasticity specified:' 
 case (201_pInt)
   msg = 'unknown plasticity specified:'
 case (205_pInt)
   msg = 'unknown lattice structure encountered'
 case (206_pInt)
   msg = 'hex lattice structure with invalid c/a ratio'

 case (210_pInt)
   msg = 'unknown material parameter:'
 case (211_pInt)
   msg = 'material parameter out of bounds:'
 case (214_pInt)
   msg = 'stiffness parameter close to zero:'

 case (252_pInt)
   msg = 'nonlocal plasticity works only for direct CPFEM, i.e. one grain per integration point'

!--------------------------------------------------------------------------------------------------
! numerics error messages 
 case (300_pInt)
   msg = 'unknown numerics parameter:'
 case (301_pInt)
   msg = 'numerics parameter out of bounds:'
 
!--------------------------------------------------------------------------------------------------
! math errors
 case (400_pInt)
   msg = 'matrix inversion error'
 case (401_pInt)
   msg = 'math_check: quat -> axisAngle -> quat failed'
 case (402_pInt)
   msg = 'math_check: quat -> R -> quat failed'
 case (403_pInt)
   msg = 'math_check: quat -> euler -> quat failed'
 case (404_pInt)
   msg = 'math_check: R -> euler -> R failed'
 case (405_pInt)
   msg = 'I_TO_HALTON-error: an input base BASE is <= 1'
 case (406_pInt)
   msg = 'Prime-error: N must be between 0 and PRIME_MAX'
 case (407_pInt)
   msg = 'Dimension in nearest neighbor search wrong'
 case (408_pInt)
   msg = 'Polar decomposition error'
 case (409_pInt)
   msg = 'math_check: R*v == q*v failed'
 case (450_pInt)
   msg = 'unknown symmetry type specified'
 case (460_pInt)
   msg = 'kdtree2 error'

!-------------------------------------------------------------------------------------------------
! homogenization errors
 case (500_pInt)
   msg = 'unknown homogenization specified'
 
!--------------------------------------------------------------------------------------------------
! user errors
 case (600_pInt)
   msg = 'Ping-Pong not possible when using non-DAMASK elements'
 case (601_pInt)
   msg = 'Ping-Pong needed when using non-local plasticity'
 case (602_pInt)
   msg = 'invalid element/IP/component (grain) selected for debug'

!-------------------------------------------------------------------------------------------------
! DAMASK_marc errors
 case (700_pInt)
   msg = 'invalid materialpoint result requested'

!-------------------------------------------------------------------------------------------------
! errors related to spectral solver
 case (809_pInt)
   msg = 'initializing FFTW'
 case (831_pInt)
   msg = 'mask consistency violated in spectral loadcase'
 case (832_pInt)
   msg = 'ill-defined L (line party P) in spectral loadcase'
 case (834_pInt)
   msg = 'negative time increment in spectral loadcase'
 case (835_pInt)
   msg = 'non-positive increments in spectral loadcase'
 case (836_pInt)
   msg = 'non-positive result frequency in spectral loadcase'
 case (837_pInt)
   msg = 'incomplete loadcase'
 case (838_pInt)
   msg = 'mixed boundary conditions allow rotation'
 case (841_pInt)
   msg = 'missing header length info in spectral mesh'
 case (842_pInt)
   msg = 'homogenization in spectral mesh'
 case (843_pInt)
   msg = 'grid in spectral mesh'
 case (844_pInt)
   msg = 'size in spectral mesh'
 case (845_pInt)
   msg = 'incomplete information in spectral mesh header'
 case (846_pInt)
   msg = 'not a rotation defined for loadcase rotation'
 case (847_pInt)
   msg = 'update of gamma operator not possible when pre-calculated'
 case (880_pInt)
   msg = 'mismatch of microstructure count and a*b*c in geom file'
 case (890_pInt)
   msg = 'invalid input for regridding'
 case (891_pInt)
   msg = 'unknown solver type selected'
 case (892_pInt)
   msg = 'unknown filter type selected'
   
!-------------------------------------------------------------------------------------------------
! error messages related to parsing of Abaqus input file
 case (900_pInt)
   msg = 'improper definition of nodes in input file (Nnodes < 2)'
 case (901_pInt)
   msg = 'no elements defined in input file (Nelems = 0)'
 case (902_pInt)
   msg = 'no element sets defined in input file (No *Elset exists)'
 case (903_pInt)
   msg = 'no materials defined in input file (Look into section assigments)'
 case (904_pInt)
   msg = 'no elements could be assigned for Elset: '
 case (905_pInt)
   msg = 'error in mesh_abaqus_map_materials'
 case (906_pInt)
   msg = 'error in mesh_abaqus_count_cpElements'
 case (907_pInt)
   msg = 'size of mesh_mapFEtoCPelem in mesh_abaqus_map_elements'
 case (908_pInt)
   msg = 'size of mesh_mapFEtoCPnode in mesh_abaqus_map_nodes'
 case (909_pInt)
   msg = 'size of mesh_node in mesh_abaqus_build_nodes not equal to mesh_Nnodes' 
 
 
!-------------------------------------------------------------------------------------------------
! general error messages
 case (666_pInt)
   msg = 'memory leak detected'
 case default
   msg = 'unknown error number...'

 end select
 
 !$OMP CRITICAL (write2out)
 write(6,'(/,a)')      ' +--------------------------------------------------------+'
 write(6,'(a)')        ' +                         error                          +'
 write(6,'(a,i3,a)')   ' +                         ',error_ID,'                            +'
 write(6,'(a)')        ' +                                                        +'
 write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a2,a',max(1,len(trim(msg))),',',&
                                                    max(1,60-len(trim(msg))-5),'x,a)'
 write(6,formatString) '+ ', trim(msg),'+'
 if (present(ext_msg)) then
   write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a2,a',max(1,len(trim(ext_msg))),',',&
                                                      max(1,60-len(trim(ext_msg))-5),'x,a)'
   write(6,formatString) '+ ', trim(ext_msg),'+'
 endif
 if (present(el)) then
   if (present(ip)) then
     if (present(g)) then
       write(6,'(a13,1x,i9,1x,a2,1x,i2,1x,a5,1x,i4,18x,a1)') ' + at element',el,'IP',ip,'grain',g,'+'
     else
       write(6,'(a13,1x,i9,1x,a2,1x,i2,29x,a1)') ' + at element',el,'IP',ip,'+'
     endif
   else
     write(6,'(a13,1x,i9,35x,a1)') ' + at element',el,'+'
   endif
 elseif (present(ip)) then                                                                          ! now having the meaning of "instance"
   write(6,'(a15,1x,i9,33x,a1)') ' + for instance',ip,'+'
 endif
 write(6,'(a)')      ' +--------------------------------------------------------+'
 flush(6)
 call quit(9000_pInt+error_ID)
 !$OMP END CRITICAL (write2out)

end subroutine IO_error


!--------------------------------------------------------------------------------------------------
!> @brief writes warning statement to standard out
!--------------------------------------------------------------------------------------------------
subroutine IO_warning(warning_ID,el,ip,g,ext_msg)

 implicit none
 integer(pInt),              intent(in) :: warning_ID
 integer(pInt),    optional, intent(in) :: el,ip,g
 character(len=*), optional, intent(in) :: ext_msg
 
 character(len=1024)                    :: msg
 character(len=1024)                    :: formatString

 select case (warning_ID)
 case (34_pInt)
   msg = 'invalid restart increment given'
 case (35_pInt)
   msg = 'could not get $DAMASK_NUM_THREADS'
 case (40_pInt)
   msg = 'found spectral solver parameter'
 case (42_pInt)
   msg = 'parameter has no effect'
 case (43_pInt)
   msg = 'main diagonal of C66 close to zero'
 case (47_pInt)
   msg = 'no valid parameter for FFTW, using FFTW_PATIENT'
 case (50_pInt)
   msg = 'not all available slip system families are defined'
 case (51_pInt)
   msg = 'not all available twin system families are defined'
 case (52_pInt)
   msg = 'not all available parameters are defined'
 case (53_pInt)
   msg = 'not all available transformation system families are defined'
 case (101_pInt)
   msg = 'crystallite debugging off'
 case (201_pInt)
   msg = 'position not found when parsing line'
 case (202_pInt)
   msg = 'invalid character in string chunk'
 case (203_pInt)
   msg = 'interpretation of string chunk failed'
 case (600_pInt)
   msg = 'crystallite responds elastically'
 case (601_pInt)
   msg = 'stiffness close to zero'
 case (650_pInt)
   msg = 'polar decomposition failed'
 case (700_pInt)
   msg = 'unknown crystal symmetry'
 case (850_pInt)
   msg = 'max number of cut back exceeded, terminating'
 case default
   msg = 'unknown warning number'
 end select
 
 !$OMP CRITICAL (write2out)
 write(6,'(/,a)')      ' +--------------------------------------------------------+'
 write(6,'(a)')        ' +                        warning                         +'
 write(6,'(a,i3,a)')   ' +                         ',warning_ID,'                            +'
 write(6,'(a)')        ' +                                                        +'
 write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a2,a',max(1,len(trim(msg))),',',&
                                                    max(1,60-len(trim(msg))-5),'x,a)'
 write(6,formatString) '+ ', trim(msg),'+'
 if (present(ext_msg)) then
   write(formatString,'(a,i6.6,a,i6.6,a)') '(1x,a2,a',max(1,len(trim(ext_msg))),',',&
                                                      max(1,60-len(trim(ext_msg))-5),'x,a)'
   write(6,formatString) '+ ', trim(ext_msg),'+'
 endif
 if (present(el)) then
   if (present(ip)) then
     if (present(g)) then
       write(6,'(a13,1x,i9,1x,a2,1x,i2,1x,a5,1x,i4,18x,a1)') ' + at element',el,'IP',ip,'grain',g,'+'
     else
       write(6,'(a13,1x,i9,1x,a2,1x,i2,29x,a1)') ' + at element',el,'IP',ip,'+'
     endif
   else
     write(6,'(a13,1x,i9,35x,a1)') ' + at element',el,'+'
   endif
 endif
 write(6,'(a)')      ' +--------------------------------------------------------+'
 flush(6)
 !$OMP END CRITICAL (write2out)

end subroutine IO_warning


!--------------------------------------------------------------------------------------------------
! internal helper functions 

!--------------------------------------------------------------------------------------------------
!> @brief returns verified integer value in given string
!--------------------------------------------------------------------------------------------------
integer(pInt) function IO_verifyIntValue (string,validChars,myName)
 
 implicit none
 character(len=*), intent(in) :: string, &                                                            !< string for conversion to int value. Must not contain spaces! 
                                 validChars, &                                                        !< valid characters in string
                                 myName                                                               !< name of caller function (for debugging)
 integer(pInt)                :: readStatus, invalidWhere
 !character(len=len(trim(string))) :: trimmed does not work with ifort 14.0.1
 
 IO_verifyIntValue = 0_pInt

 invalidWhere = verify(string,validChars)
 if (invalidWhere == 0_pInt) then
   read(UNIT=string,iostat=readStatus,FMT=*) IO_verifyIntValue                                        ! no offending chars found
   if (readStatus /= 0_pInt) &                                                                        ! error during string to float conversion
     call IO_warning(203,ext_msg=myName//'"'//string//'"')
 else
   call IO_warning(202,ext_msg=myName//'"'//string//'"')                                              ! complain about offending characters
   read(UNIT=string(1_pInt:invalidWhere-1_pInt),iostat=readStatus,FMT=*) IO_verifyIntValue            ! interpret remaining string
   if (readStatus /= 0_pInt) &                                                                        ! error during string to float conversion
     call IO_warning(203,ext_msg=myName//'"'//string(1_pInt:invalidWhere-1_pInt)//'"')
 endif
  
end function IO_verifyIntValue


!--------------------------------------------------------------------------------------------------
!> @brief returns verified float value in given string
!--------------------------------------------------------------------------------------------------
real(pReal) function IO_verifyFloatValue (string,validChars,myName)
 
 implicit none
 character(len=*), intent(in) :: string, &                                                            !< string for conversion to int value. Must not contain spaces! 
                                 validChars, &                                                        !< valid characters in string
                                 myName                                                               !< name of caller function (for debugging)

 integer(pInt)                :: readStatus, invalidWhere
 !character(len=len(trim(string))) :: trimmed does not work with ifort 14.0.1
 
 IO_verifyFloatValue = 0.0_pReal

 invalidWhere = verify(string,validChars)
 if (invalidWhere == 0_pInt) then
   read(UNIT=string,iostat=readStatus,FMT=*) IO_verifyFloatValue                                      ! no offending chars found
   if (readStatus /= 0_pInt) &                                                                        ! error during string to float conversion
     call IO_warning(203,ext_msg=myName//'"'//string//'"')
 else
   call IO_warning(202,ext_msg=myName//'"'//string//'"')                                              ! complain about offending characters
   read(UNIT=string(1_pInt:invalidWhere-1_pInt),iostat=readStatus,FMT=*) IO_verifyFloatValue          ! interpret remaining string
   if (readStatus /= 0_pInt) &                                                                        ! error during string to float conversion
     call IO_warning(203,ext_msg=myName//'"'//string(1_pInt:invalidWhere-1_pInt)//'"')
 endif
  
end function IO_verifyFloatValue


!--------------------------------------------------------------------------------------------------
!> @brief counts hybrid IA repetitions
!--------------------------------------------------------------------------------------------------
integer(pInt) pure function hybridIA_reps(dV_V,steps,C)

 implicit none
 integer(pInt), intent(in), dimension(3)                          :: steps                          !< needs description
 real(pReal),   intent(in), dimension(steps(3),steps(2),steps(1)) :: dV_V                           !< needs description
 real(pReal),   intent(in)                                        :: C                              !< needs description
 
 integer(pInt) :: phi1,Phi,phi2
 
 hybridIA_reps = 0_pInt
 do phi1=1_pInt,steps(1)
   do Phi =1_pInt,steps(2)
     do phi2=1_pInt,steps(3)
       hybridIA_reps = hybridIA_reps+nint(C*dV_V(phi2,Phi,phi1), pInt)
     enddo
   enddo
 enddo
 
end function hybridIA_reps
 
#ifdef Abaqus 
!--------------------------------------------------------------------------------------------------
!> @brief create a new input file for abaqus simulations by removing all comment lines and 
!> including "include"s
!--------------------------------------------------------------------------------------------------
recursive function abaqus_assembleInputFile(unit1,unit2) result(createSuccess)
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName

 implicit none
 integer(pInt), intent(in)                :: unit1, &
                                             unit2
 
 integer(pInt), parameter                 :: MAXNCHUNKS = 6_pInt

 integer(pInt), dimension(1+2*MAXNCHUNKS) :: positions
 character(len=65536)                     :: line,fname
 logical                                  :: createSuccess,fexist


 do
   read(unit2,'(A65536)',END=220) line
   positions = IO_stringPos(line,MAXNCHUNKS)

   if (IO_lc(IO_StringValue(line,positions,1_pInt))=='*include') then
     fname = trim(getSolverWorkingDirectoryName())//trim(line(9+scan(line(9:),'='):))
     inquire(file=fname, exist=fexist)
     if (.not.(fexist)) then
       !$OMP CRITICAL (write2out)
         write(6,*)'ERROR: file does not exist error in abaqus_assembleInputFile'
         write(6,*)'filename: ', trim(fname)
       !$OMP END CRITICAL (write2out)
       createSuccess = .false.
       return
     endif
     open(unit2+1,err=200,status='old',file=fname)
     if (abaqus_assembleInputFile(unit1,unit2+1_pInt)) then
       createSuccess=.true.
       close(unit2+1)
     else
       createSuccess=.false.
       return
     endif
   else if (line(1:2) /= '**' .OR. line(1:8)=='**damask') then
     write(unit1,'(A)') trim(line)
   endif
 enddo
 
220 createSuccess = .true.
 return
 
200 createSuccess =.false.

end function abaqus_assembleInputFile
#endif


#ifdef HDF
!--------------------------------------------------------------------------------------------------
!> @brief creates and initializes HDF5 output files
!--------------------------------------------------------------------------------------------------
subroutine HDF5_createJobFile
 use hdf5
 use DAMASK_interface, only: &
   getSolverWorkingDirectoryName, &
   getSolverJobName

 implicit none
 integer              :: hdferr
 integer(SIZE_T)      :: typeSize 
 character(len=1024)  :: path
 integer(HID_T) :: prp_id
 integer(SIZE_T), parameter :: increment = 104857600 ! increase temp file in memory in 100MB steps


!--------------------------------------------------------------------------------------------------
! initialize HDF5 library and check if integer and float type size match
 call h5open_f(hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_createJobFile: h5open_f')
 call h5tget_size_f(H5T_NATIVE_INTEGER,typeSize, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_createJobFile: h5tget_size_f (int)')
 if (int(pInt,SIZE_T)/=typeSize) call IO_error(0_pInt,ext_msg='pInt does not match H5T_NATIVE_INTEGER')
 call h5tget_size_f(H5T_NATIVE_DOUBLE,typeSize, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_createJobFile: h5tget_size_f (double)')
 if (int(pReal,SIZE_T)/=typeSize) call IO_error(0_pInt,ext_msg='pReal does not match H5T_NATIVE_DOUBLE')

!--------------------------------------------------------------------------------------------------
! open file
 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//'.'//'DAMASKout'
 call h5fcreate_f(path,H5F_ACC_TRUNC_F,resultsFile,hdferr)
 if (hdferr < 0) call IO_error(100_pInt,ext_msg=path)
 call HDF5_addStringAttribute(resultsFile,'createdBy','$Id$')

!--------------------------------------------------------------------------------------------------
! open temp file
 path = trim(getSolverWorkingDirectoryName())//trim(getSolverJobName())//'.'//'DAMASKoutTemp'
 call h5pcreate_f(H5P_FILE_ACCESS_F, prp_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_createJobFile: h5pcreate_f')
 call h5pset_fapl_core_f(prp_id, increment, .false., hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_createJobFile: h5pset_fapl_core_f')
 call h5fcreate_f(path,H5F_ACC_TRUNC_F,tempFile,hdferr)
 if (hdferr < 0) call IO_error(100_pInt,ext_msg=path)

!--------------------------------------------------------------------------------------------------
! create mapping groups in out file
 call HDF5_closeGroup(HDF5_addGroup("mapping"))
 call HDF5_closeGroup(HDF5_addGroup("results"))
 call HDF5_closeGroup(HDF5_addGroup("coordinates"))

!--------------------------------------------------------------------------------------------------
! create results group in temp file
 tempResults     = HDF5_addGroup("results",tempFile)
 tempCoordinates = HDF5_addGroup("coordinates",tempFile)

end subroutine HDF5_createJobFile


!--------------------------------------------------------------------------------------------------
!> @brief creates and initializes HDF5 output file
!--------------------------------------------------------------------------------------------------
subroutine HDF5_closeJobFile()
 use hdf5
 
 implicit none
 integer :: hdferr
 call h5fclose_f(resultsFile,hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_closeJobFile: h5fclose_f')

end subroutine HDF5_closeJobFile


!--------------------------------------------------------------------------------------------------
!> @brief adds a new group to the results file, or if loc is present at the given location
!--------------------------------------------------------------------------------------------------
integer(HID_T) function HDF5_addGroup(path,loc)
 use hdf5

 implicit none
 character(len=*), intent(in) :: path
 integer(HID_T), intent(in),optional :: loc
 integer                      :: hdferr

 if (present(loc)) then
   call h5gcreate_f(loc, trim(path), HDF5_addGroup, hdferr)
 else
   call h5gcreate_f(resultsFile, trim(path), HDF5_addGroup, hdferr)
 endif
 if (hdferr < 0) call IO_error(1_pInt,ext_msg = 'HDF5_addGroup: h5gcreate_f ('//trim(path)//' )')

end function HDF5_addGroup



!--------------------------------------------------------------------------------------------------
!> @brief adds a new group to the results file
!--------------------------------------------------------------------------------------------------
integer(HID_T) function HDF5_openGroup(path)
 use hdf5

 implicit none
 character(len=*), intent(in) :: path
 integer                      :: hdferr

 call h5gopen_f(resultsFile, trim(path), HDF5_openGroup, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg = 'HDF5_openGroup: h5gopen_f ('//trim(path)//' )')

end function HDF5_openGroup


!--------------------------------------------------------------------------------------------------
!> @brief closes a group
!--------------------------------------------------------------------------------------------------
subroutine HDF5_closeGroup(ID)
 use hdf5

 implicit none
 integer(HID_T), intent(in) :: ID
 integer                    :: hdferr

 call h5gclose_f(ID, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg = 'HDF5_closeGroup: h5gclose_f')

end subroutine HDF5_closeGroup


!--------------------------------------------------------------------------------------------------
!> @brief adds a new group to the results file
!--------------------------------------------------------------------------------------------------
subroutine HDF5_addStringAttribute(entity,attrLabel,attrValue)
 use hdf5

 implicit none
 integer(HID_T),   intent(in)  :: entity
 character(len=*), intent(in)  :: attrLabel, attrValue
 integer                       :: hdferr
 integer(HID_T)                :: attr_id, space_id, type_id

 call h5screate_f(H5S_SCALAR_F,space_id,hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_addStringAttribute: h5screate_f')
 call h5tcopy_f(H5T_NATIVE_CHARACTER, type_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_addStringAttribute: h5tcopy_f')
 call h5tset_size_f(type_id, int(len(trim(attrValue)),HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_addStringAttribute: h5tset_size_f')
 call h5acreate_f(entity, trim(attrLabel),type_id,space_id,attr_id,hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_addStringAttribute: h5acreate_f')
 call h5awrite_f(attr_id, type_id, trim(attrValue), int([1],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_addStringAttribute: h5awrite_f')
 call h5aclose_f(attr_id,hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_addStringAttribute: h5aclose_f')
 call h5sclose_f(space_id,hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_addStringAttribute: h5sclose_f')

end subroutine HDF5_addStringAttribute


!--------------------------------------------------------------------------------------------------
!> @brief adds the unique mapping from spatial position and constituent ID to results
!--------------------------------------------------------------------------------------------------
subroutine HDF5_mappingConstitutive(mapping)
 use hdf5

 implicit none
 integer(pInt), intent(in), dimension(:,:,:) :: mapping

 integer        :: hdferr, NmatPoints,Nconstituents
 integer(HID_T) :: mapping_id, dtype_id, dset_id, space_id,instance_id,position_id

 Nconstituents=size(mapping,1)
 NmatPoints=size(mapping,2)
 mapping_ID = HDF5_openGroup("mapping")

!--------------------------------------------------------------------------------------------------
! create dataspace
 call h5screate_simple_f(2, int([Nconstituents,NmatPoints],HSIZE_T), space_id, hdferr, &
                            int([Nconstituents,NmatPoints],HSIZE_T))
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive')

!--------------------------------------------------------------------------------------------------
! compound type
 call h5tcreate_f(H5T_COMPOUND_F, 6_SIZE_T, dtype_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tcreate_f dtype_id')

 call h5tinsert_f(dtype_id, "Constitutive Instance",         0_SIZE_T, H5T_STD_U16LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tinsert_f 0')
 call h5tinsert_f(dtype_id, "Position in Instance Results",  2_SIZE_T, H5T_STD_U32LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tinsert_f 2')

!--------------------------------------------------------------------------------------------------
! create Dataset
 call h5dcreate_f(mapping_id, "Constitutive", dtype_id, space_id, dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive')

!--------------------------------------------------------------------------------------------------
! Create memory types (one compound datatype for each member)
 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), instance_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tcreate_f instance_id')
 call h5tinsert_f(instance_id, "Constitutive Instance",        0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tinsert_f instance_id')

 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), position_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tcreate_f position_id')
 call h5tinsert_f(position_id, "Position in Instance Results", 0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tinsert_f position_id')

!--------------------------------------------------------------------------------------------------
! write data by fields in the datatype. Fields order is not important.
 call h5dwrite_f(dset_id, position_id, mapping(1:Nconstituents,1:NmatPoints,1), &
                                            int([Nconstituents,  NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5dwrite_f position_id')
 
 call h5dwrite_f(dset_id, instance_id, mapping(1:Nconstituents,1:NmatPoints,2), &
                                            int([Nconstituents,  NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5dwrite_f instance_id')

!--------------------------------------------------------------------------------------------------
!close types, dataspaces
 call h5tclose_f(dtype_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tclose_f dtype_id')
 call h5tclose_f(position_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tclose_f position_id')
 call h5tclose_f(instance_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5tclose_f instance_id')
 call h5dclose_f(dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5dclose_f')
 call h5sclose_f(space_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5sclose_f')
 call HDF5_closeGroup(mapping_ID)

end subroutine HDF5_mappingConstitutive


!--------------------------------------------------------------------------------------------------
!> @brief adds the unique mapping from spatial position and constituent ID to results
!--------------------------------------------------------------------------------------------------
subroutine HDF5_mappingCrystallite(mapping)
 use hdf5

 implicit none
 integer(pInt), intent(in), dimension(:,:,:) :: mapping

 integer        :: hdferr, NmatPoints,Nconstituents
 integer(HID_T) :: mapping_id, dtype_id, dset_id, space_id,instance_id,position_id

 Nconstituents=size(mapping,1)
 NmatPoints=size(mapping,2)
 mapping_ID = HDF5_openGroup("mapping")

!--------------------------------------------------------------------------------------------------
! create dataspace
 call h5screate_simple_f(2, int([Nconstituents,NmatPoints],HSIZE_T), space_id, hdferr, &
                            int([Nconstituents,NmatPoints],HSIZE_T))
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite')

!--------------------------------------------------------------------------------------------------
! compound type
 call h5tcreate_f(H5T_COMPOUND_F, 6_SIZE_T, dtype_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tcreate_f dtype_id')

 call h5tinsert_f(dtype_id, "Crystallite Instance",          0_SIZE_T, H5T_STD_U16LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tinsert_f 0')
 call h5tinsert_f(dtype_id, "Position in Instance Results",  2_SIZE_T, H5T_STD_U32LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tinsert_f 2')

!--------------------------------------------------------------------------------------------------
! create Dataset
 call h5dcreate_f(mapping_id, "Crystallite", dtype_id, space_id, dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite')

!--------------------------------------------------------------------------------------------------
! Create memory types (one compound datatype for each member)
 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), instance_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tcreate_f instance_id')
 call h5tinsert_f(instance_id, "Crystallite Instance",        0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tinsert_f instance_id')

 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), position_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tcreate_f position_id')
 call h5tinsert_f(position_id, "Position in Instance Results", 0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tinsert_f position_id')

!--------------------------------------------------------------------------------------------------
! write data by fields in the datatype. Fields order is not important.
 call h5dwrite_f(dset_id, position_id, mapping(1:Nconstituents,1:NmatPoints,1), &
                                            int([Nconstituents,  NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5dwrite_f position_id')
 
 call h5dwrite_f(dset_id, instance_id, mapping(1:Nconstituents,1:NmatPoints,2), &
                                            int([Nconstituents,  NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5dwrite_f instance_id')

!--------------------------------------------------------------------------------------------------
!close types, dataspaces
 call h5tclose_f(dtype_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tclose_f dtype_id')
 call h5tclose_f(position_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tclose_f position_id')
 call h5tclose_f(instance_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5tclose_f instance_id')
 call h5dclose_f(dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5dclose_f')
 call h5sclose_f(space_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCrystallite: h5sclose_f')
 call HDF5_closeGroup(mapping_ID)

end subroutine HDF5_mappingCrystallite


!--------------------------------------------------------------------------------------------------
!> @brief adds the unique mapping from spatial position to results
!--------------------------------------------------------------------------------------------------
subroutine HDF5_mappingHomogenization(mapping)
 use hdf5

 implicit none
 integer(pInt), intent(in), dimension(:,:) :: mapping

 integer        :: hdferr, NmatPoints
 integer(HID_T) :: mapping_id, dtype_id, dset_id, space_id,instance_id,position_id,elem_id,ip_id

 NmatPoints=size(mapping,1)
 mapping_ID = HDF5_openGroup("mapping")

!--------------------------------------------------------------------------------------------------
! create dataspace
 call h5screate_simple_f(1, int([NmatPoints],HSIZE_T), space_id, hdferr, &
                            int([NmatPoints],HSIZE_T))
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization')

!--------------------------------------------------------------------------------------------------
! compound type
 call h5tcreate_f(H5T_COMPOUND_F, 11_SIZE_T, dtype_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tcreate_f dtype_id')
 
 call h5tinsert_f(dtype_id, "Homogenization Instance",      0_SIZE_T, H5T_STD_U16LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f 0')
 call h5tinsert_f(dtype_id, "Position in Instance Results", 2_SIZE_T, H5T_STD_U32LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f 2')
 call h5tinsert_f(dtype_id, "Element Number",               6_SIZE_T, H5T_STD_U32LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f 6')
 call h5tinsert_f(dtype_id, "Material Point Number",       10_SIZE_T, H5T_STD_U8LE, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f 10')

!--------------------------------------------------------------------------------------------------
! create Dataset
 call h5dcreate_f(mapping_id, "Homogenization", dtype_id, space_id, dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization')

!--------------------------------------------------------------------------------------------------
! Create memory types (one compound datatype for each member)
 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), instance_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tcreate_f instance_id')
 call h5tinsert_f(instance_id, "Homogenization Instance",      0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f instance_id')

 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), position_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tcreate_f position_id')
 call h5tinsert_f(position_id, "Position in Instance Results", 0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f position_id')

 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), elem_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tcreate_f elem_id')
 call h5tinsert_f(elem_id,     "Element Number",               0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f elem_id')

 call h5tcreate_f(H5T_COMPOUND_F, int(pInt,SIZE_T), ip_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tcreate_f ip_id')
 call h5tinsert_f(ip_id,       "Material Point Number",        0_SIZE_T, H5T_NATIVE_INTEGER, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tinsert_f ip_id')

!--------------------------------------------------------------------------------------------------
! write data by fields in the datatype. Fields order is not important.
 call h5dwrite_f(dset_id, position_id, mapping(1:NmatPoints,1), &
                                            int([NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5dwrite_f position_id')
 
 call h5dwrite_f(dset_id, instance_id, mapping(1:NmatPoints,2), &
                                            int([NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5dwrite_f position_id')

 call h5dwrite_f(dset_id, elem_id,     mapping(1:NmatPoints,3), &
                                            int([NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5dwrite_f elem_id')

 call h5dwrite_f(dset_id, ip_id,       mapping(1:NmatPoints,4), &
                                            int([NmatPoints],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5dwrite_f ip_id')

!--------------------------------------------------------------------------------------------------
!close types, dataspaces
 call h5tclose_f(dtype_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tclose_f dtype_id')
 call h5tclose_f(position_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tclose_f position_id')
 call h5tclose_f(instance_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tclose_f instance_id')
 call h5tclose_f(ip_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tclose_f ip_id')
 call h5tclose_f(elem_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5tclose_f elem_id')
 call h5dclose_f(dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5dclose_f')
 call h5sclose_f(space_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingHomogenization: h5sclose_f')
 call HDF5_closeGroup(mapping_ID)

end subroutine HDF5_mappingHomogenization


!--------------------------------------------------------------------------------------------------
!> @brief adds the unique cell to node mapping
!--------------------------------------------------------------------------------------------------
subroutine HDF5_mappingCells(mapping)
 use hdf5

 implicit none
 integer(pInt), intent(in), dimension(:) :: mapping

 integer        :: hdferr, Nnodes
 integer(HID_T) :: mapping_id, dset_id, space_id

 Nnodes=size(mapping)
 mapping_ID = HDF5_openGroup("mapping")

!--------------------------------------------------------------------------------------------------
! create dataspace
 call h5screate_simple_f(1, int([Nnodes],HSIZE_T), space_id, hdferr, &
                            int([Nnodes],HSIZE_T))
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCells: h5screate_simple_f')

!--------------------------------------------------------------------------------------------------
! create Dataset
 call h5dcreate_f(mapping_id, "Cell",H5T_NATIVE_INTEGER, space_id, dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCells')

!--------------------------------------------------------------------------------------------------
! write data by fields in the datatype. Fields order is not important.
 call h5dwrite_f(dset_id, H5T_NATIVE_INTEGER, mapping, int([Nnodes],HSIZE_T), hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingCells: h5dwrite_f instance_id')

!--------------------------------------------------------------------------------------------------
!close types, dataspaces
 call h5dclose_f(dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5dclose_f')
 call h5sclose_f(space_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='IO_mappingConstitutive: h5sclose_f')
 call HDF5_closeGroup(mapping_ID)

end subroutine HDF5_mappingCells


!--------------------------------------------------------------------------------------------------
!> @brief creates a new scalar dataset in the given group location
!--------------------------------------------------------------------------------------------------
subroutine HDF5_addScalarDataset(group,nnodes,label,SIunit)
 use hdf5

 implicit none
 integer(HID_T),   intent(in) :: group
 integer(pInt),    intent(in) :: nnodes
 character(len=*), intent(in)  :: SIunit,label

 integer        :: hdferr
 integer(HID_T) :: dset_id, space_id

!--------------------------------------------------------------------------------------------------
! create dataspace
 call h5screate_simple_f(1, int([Nnodes],HSIZE_T), space_id, hdferr, &
                            int([Nnodes],HSIZE_T))
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_addScalarDataset: h5screate_simple_f')

!--------------------------------------------------------------------------------------------------
! create Dataset
 call h5dcreate_f(group, trim(label),H5T_NATIVE_DOUBLE, space_id, dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_addScalarDataset: h5dcreate_f')
 call HDF5_addStringAttribute(dset_id,'unit',trim(SIunit))

!--------------------------------------------------------------------------------------------------
!close types, dataspaces
 call h5dclose_f(dset_id, hdferr)
 if (hdferr < 0) call IO_error(1_pInt,ext_msg='HDF5_addScalarDataset: h5dclose_f')
 call h5sclose_f(space_id, hdferr)

end subroutine HDF5_addScalarDataset


!--------------------------------------------------------------------------------------------------
!> @brief returns nicely formatted string of integer value
!--------------------------------------------------------------------------------------------------
function IO_formatIntToString(myInt)

 implicit none
 integer(pInt), intent(in) :: myInt
 character(len=1_pInt + int(log10(real(myInt)),pInt)) :: IO_formatIntToString
 write(IO_formatIntToString,'('//IO_intOut(myInt)//')') myInt
 
 end function


!--------------------------------------------------------------------------------------------------
!> @brief copies the current temp results to the actual results file
!--------------------------------------------------------------------------------------------------
subroutine HDF5_forwardResults
 use hdf5

 implicit none
 integer        :: hdferr
 integer(HID_T)   :: new_loc_id
    
 new_loc_id = HDF5_openGroup("results")
 currentInc = currentInc + 1_pInt
 call h5ocopy_f(tempFile, 'results', new_loc_id,dst_name=IO_formatIntToString(currentInc), hdferr=hdferr)
 if (hdferr < 0_pInt) call IO_error(1_pInt,ext_msg='HDF5_forwardResults: h5ocopy_f')
 call HDF5_closeGroup(new_loc_id)

end subroutine HDF5_forwardResults


#endif
end module IO