diff --git a/CPFEM.f90 b/CPFEM.f90
new file mode 100644
index 000000000..8d2d3df9f
--- /dev/null
+++ b/CPFEM.f90
@@ -0,0 +1,883 @@
+
+!    ---------------------------
+ MODULE CPFEM     
+!    ---------------------------
+!    *** CPFEM engine ***
+
+ use prec, only: pRe,pIn
+ implicit none
+
+!    ****************************************************************
+!    *** General variables for the material behaviour calculation ***
+!    ****************************************************************  
+ real(pRe), allocatable :: CPFEM_stress_all   (:,:,:)
+ real(pRe), allocatable :: CPFEM_jacobi_all   (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_results    (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_thickness    (:,:)
+ real(pRe), allocatable :: CPFEM_ini_ori    (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_sigma_old    (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_sigma_new    (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_Fp_old    (:,:,:,:,:)
+ real(pRe), allocatable :: CPFEM_Fp_new    (:,:,:,:,:)
+ real(pRe), allocatable :: CPFEM_tauc_slip_old(:,:,:,:)
+ real(pRe), allocatable :: CPFEM_tauc_slip_new(:,:,:,:)
+ real(pRe), allocatable :: CPFEM_g_old    (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_g_new    (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_jaco_old    (:,:,:,:)
+ real(pRe), allocatable :: CPFEM_mat     (:,:)
+
+ CONTAINS
+
+!***********************************************************************
+!***    This routine allocates the arrays defined in module mpie    ***
+!***    and initializes them          ***
+!***********************************************************************
+ subroutine ALLOCATION(mpie_numel,mpie_nip)
+
+ use prec, only: pRe,pIn
+ use IO, only: _error
+ use math
+ use mesh
+ use constitutive
+ 
+ implicit none
+
+ integer(pIn) i
+
+!    *** mpie.marc parameters ***
+ allocate(CPFEM_stress_all(6,mesh_Nelems,mesh_Nips))
+ allocate(CPFEM_jacobi_all(6,6,mesh_Nelems,mesh_Nips))
+ CPFEM_stress_all=0.0_pRe
+ CPFEM_jacobi_all=0.0_pRe
+
+!    *** User defined results ***
+ allocate(CPFEM_results(constitutive_Nresults,
+     &        constitutive_maxNgrains,
+     &        mesh_Nelems,mesh_Nips))
+ CPFEM_results=0.0_pRe
+
+!    *** Relative sheet thickness ***
+ allocate(CPFEM_thickness(mesh_Nelems,mesh_Nips))
+ CPFEM_thickness=0.0_pRe
+
+!    *** Initial orientations ***
+ allocate(CPFEM_ini_ori(3,constitutive_maxNgrains,mesh_Nelems,mesh_Nips))
+ CPFEM_ini_ori=0.0_pRe
+
+!    *** Second Piola-Kirchoff stress tensor at (t=t0) and (t=t1) ***
+ allocate(CPFEM_sigma_old(6,constitutive_maxNgrains,mesh_Nelems,mesh_Nips))
+ allocate(CPFEM_sigma_new(6,constitutive_maxNgrains,mesh_Nelems,mesh_Nips))
+ CPFEM_sigma_old=0.0_pRe
+ CPFEM_sigma_new=0.0_pRe
+
+!    *** Plastic deformation gradient at (t=t0) and (t=t1) ***  
+ allocate(CPFEM_Fp_old(3,3,constitutive_maxNgrains,mesh_Nelems,mesh_Nips))
+ allocate(CPFEM_Fp_new(3,3,constitutive_maxNgrains,mesh_Nelems,mesh_Nips))
+ CPFEM_Fp_old=0.0_pRe 
+ CPFEM_Fp_new=0.0_pRe 
+ do i=1,3
+    CPFEM_Fp_old(i,i,:,:,:)=1.0_pRe 
+    CPFEM_Fp_new(i,i,:,:,:)=1.0_pRe
+ enddo 
+     
+! QUESTION: would it be wise to outsource these to _constitutive_ ??
+!    *** Slip resistances at (t=t0) and (t=t1) ***  
+ allocate(CPFEM_tauc_slip_old(nslip,constitutive_maxNgrains,mesh_Nelems,
+     &        mesh_Nips))   
+ allocate(CPFEM_tauc_slip_new(nslip,constitutive_maxNgrains,mesh_Nelems,
+     &        mesh_Nips))
+ CPFEM_tauc_slip_old=0.0_pRe
+ CPFEM_tauc_slip_new=0.0_pRe
+
+!    *** Cumulative shear at (t=t0) and (t=t1) *** 
+! QUESTION which nslip to use here ?!?
+ allocate(CPFEM_g_old(nslip,constitutive_maxNgrains,mesh_Nelems,mesh_Nips))  
+ allocate(CPFEM_g_new(nslip,constitutive_maxNgrains,mesh_Nelems,mesh_Nips))
+ CPFEM_g_old=0.0_pRe
+ CPFEM_g_new=0.0_pRe
+
+!    *** Old jacobian (consistent tangent) ***
+ allocate(CPFEM_jaco_old(6,6,mesh_Nelems,mesh_Nips))
+
+!    *** Output to MARC output file ***
+ write(6,*)
+ write(6,*) 'Arrays allocated:'
+ write(6,*) 'CPFEM_stress_all:    ', shape(CPFEM_stress_all)
+ write(6,*) 'CPFEM_jacobi_all:    ', shape(CPFEM_jacobi_all)
+ write(6,*) 'CPFEM_results:    ', shape(CPFEM_results)
+ write(6,*) 'CPFEM_thickness:    ', shape(CPFEM_thickness)
+ write(6,*) 'CPFEM_ini_ori:    ', shape(CPFEM_ini_ori)
+ write(6,*) 'CPFEM_sigma_old:    ', shape(CPFEM_sigma_old)
+ write(6,*) 'CPFEM_sigma_new:    ', shape(CPFEM_sigma_new)
+ write(6,*) 'CPFEM_Fp_old:    ', shape(CPFEM_Fp_old)
+ write(6,*) 'CPFEM_Fp_new:    ', shape(CPFEM_Fp_new)
+ write(6,*) 'CPFEM_tauc_slip_old: ', shape(CPFEM_tauc_slip_old)
+ write(6,*) 'CPFEM_tauc_slip_new: ', shape(CPFEM_tauc_slip_new)
+ write(6,*) 'CPFEM_g_old:    ', shape(CPFEM_g_old)
+ write(6,*) 'CPFEM_g_new:    ', shape(CPFEM_g_new)
+ write(6,*) 'CPFEM_jaco_old:    ', shape(CPFEM_jaco_old)
+ write(6,*)
+ call flush(6)
+ return
+ end     
+ 
+
+ subroutine CPFEM_general_material(
+     & CPFEM_s,   ! Stress vector
+     & CPFEM_d,   ! Jacobi matrix (consistent tangent)
+     & CPFEM_ndi,   ! Dimension
+     & CPFEM_ffn,   ! Deformation gradient at begin of increment
+     & CPFEM_ffn1,  ! Deformation gradient at end of increment
+     & CPFEM_inc,   ! Increment number
+     & CPFEM_subinc,  ! Subincrement number
+     & CPFEM_cn,   ! Cycle number
+     & CPFEM_tinc,  ! Time increment (dt)
+     & CPFEM_timefactor, ! Factor for timestep correction
+! & mesh_Nelems,   ! Number of elements in mesh
+! & CPFEM_nip,   ! Maximum number of integration points per element
+     & CPFEM_en,   ! Element number
+     & CPFEM_in,   ! Integration point number
+     & CPFEM_mn,   ! Material number
+     & CPFEM_dimStress  ! Dimension of stress/strain vector
+     &)
+!***********************************************************************
+!***    This routine calculates the material behaviour    ***
+!***********************************************************************
+ use prec, only: pRe,pIn
+ use IO, only _error
+ use math
+ use mesh
+ use constitutive
+ 
+ implicit none
+
+!    *** Definition of variables ***
+ integer(pIn) CPFEM_ndi,CPFEM_inc,CPFEM_subinc,CPFEM_cn,
+     &   CPFEM_en,CPFEM_in,CPFEM_mn,CPFEM_dimStress
+ real(pRe) CPFEM_timefactor,CPFEM_tinc,CPFEM_s(CPFEM_dimStress),
+     &     CPFEM_d(CPFEM_dimStress,CPFEM_dimStress),
+     &     CPFEM_ffn(3,3),CPFEM_ffn1(3,3)
+! QUESTION which nslip to use?
+ real(pRe) Fp_old(3,3),tauc_slip_old(nslip),
+     &     tauc_slip_new(nslip),g_old(nslip),
+     &     g_new(nslip),Tstar_v(6),
+     &     Fp_new(3,3),cs(6),phi1mis(2),PHImis(2),phi2mis(2),
+     &     cd(6,6),ori_mat(3,3),hh6(6,6)
+ integer(pIn) jpara,nori
+ real(pRe) phi1,PHI,phi2,scatter,vf,alpha1,alpha2,beta1,
+     &      beta2,phi1_s,PHI_s,phi2_s,p10,P0,p20,p11,P1,p21,
+     &      dgmax,dgmaxc,orimis
+ integer(pIn) i,iori,iconv,ising,icut
+!    *** Numerical parameters ***
+!    *** How often the jacobian is recalculated ***
+ integer (pIn), parameter :: ijaco=1_pIn
+!    *** Reference shear rate for the calculation of CPFEM_timefactor ***
+ real (pRe), parameter :: dgs=0.01_pRe
+
+!    *** Initialization step ***   
+ if (CPFEM_first_call==1_pIn) then
+    call INITIALIZATION(mesh_Nelems,CPFEM_nip)
+    CPFEM_first_call=0_pIn
+ endif
+!    *** Case of a new increment *** 
+ if (CPFEM_inc.NE.CPFEM_inc_old) then
+    CPFEM_sigma_old=CPFEM_sigma_new
+    CPFEM_Fp_old=CPFEM_Fp_new
+    CPFEM_tauc_slip_old=CPFEM_tauc_slip_new
+    CPFEM_g_old=CPFEM_g_new
+    CPFEM_inc_old=CPFEM_inc
+    CPFEM_subinc_old=1_pIn
+    CPFEM_timefactor_max=0.0_pRe
+ endif
+!    *** case of a new subincrement:update starting with subinc 2 ***
+ if (CPFEM_subinc.GT.CPFEM_subinc_old) then
+    CPFEM_sigma_old=CPFEM_sigma_new
+    CPFEM_Fp_old=CPFEM_Fp_new
+    CPFEM_tauc_slip_old=CPFEM_tauc_slip_new
+    CPFEM_g_old=CPFEM_g_new
+    CPFEM_subinc_old=CPFEM_subinc
+ endif
+!    *** Flag for recalculation of jacobian ***
+ jpara=1_pIn      
+
+!    ************************************
+!    ***  Orientation initialization  *** 
+!    ************************************
+!    *** Number of components per state ***  
+ nori=CPFEM_mat(CPFEM_mn,1)
+ if (CPFEM_inc==0_pIn) then
+!    *** Three dimensional stress state ***
+    if (CPFEM_ndi.NE.3_pIn) then
+  call CPFEM_error(300)
+    endif
+
+    if ((CPFEM_en==1_pIn).AND.(CPFEM_in==1_pIn)) then
+  write(6,*) 'MPIE Material Routine Ver. 0.1 by L. Hantcherli'
+  write(6,*)
+  write(6,*) 'Orientation initialization'
+  call flush(6)
+    endif
+
+    i=1
+    do while (i.LE.nori)
+!    *** Direct ODF sampling ***
+  if (CPFEM_mat(CPFEM_mn,2)==2) then
+     call CPFEM_odf_ori(CPFEM_cko(CPFEM_mn,:,:,:,:), 
+     &       CPFEM_odfmax(CPFEM_mn),phi1,PHI,phi2)
+  else
+!    *** Gauss/Spherical component ***
+     if (CPFEM_mat(CPFEM_mn,7*i-4)==1) then
+   phi1=CPFEM_mat(CPFEM_mn,7*i-3)
+   PHI=CPFEM_mat(CPFEM_mn,7*i-2)
+   phi2=CPFEM_mat(CPFEM_mn,7*i-1)
+   scatter=CPFEM_mat(CPFEM_mn,7*i+1)
+!    *** Random orientation to this component to represent ***
+!    ***  random fraction of texture using halton series   ***
+   if (phi1==400.0) then
+      call CPFEM_halton_ori(phi1,PHI,phi2,scatter)
+!    *** ELSE modify orientation to represent gauss distribution ***
+   else if (scatter.GT.0.1) then
+      call CPFEM_gauss(phi1,PHI,phi2,scatter)
+   endif
+!    *** Fiber component ***    
+     else if (CPFEM_mat(CPFEM_mn,7*i-4)==2) then
+   alpha1=CPFEM_mat(CPFEM_mn,7*i-3)
+   alpha2=CPFEM_mat(CPFEM_mn,7*i-2)
+   beta1=CPFEM_mat(CPFEM_mn,7*i-1)
+   beta2=CPFEM_mat(CPFEM_mn,7*i)
+   scatter=CPFEM_mat(CPFEM_mn,7*i+1)
+!    *** Random orientation to this component to represent ***
+!    ***  random fraction of texture using random numbers  ***
+   if (alpha1==400.0) then
+      call CPFEM_random_ori(phi1,PHI,phi2,scatter)
+!    *** ELSE calculate orientation to represent fiber component ***
+   else if (scatter.GT.0.1) then
+      call CPFEM_fiber(alpha1,alpha2,beta1,beta2,
+     &         scatter,phi1,PHI,phi2)
+   endif
+     else
+   call CPFEM_error(510)
+     endif
+  endif
+  CPFEM_ini_ori(1,i,CPFEM_en,CPFEM_in)=phi1
+  CPFEM_ini_ori(2,i,CPFEM_en,CPFEM_in)=PHI
+  CPFEM_ini_ori(3,i,CPFEM_en,CPFEM_in)=phi2
+!    *** Orientation matrix ***    
+  call CPFEM_euldreh(phi1,PHI,phi2,ori_mat)
+  CPFEM_Fp_old(:,:,i,CPFEM_en,CPFEM_in)=ori_mat
+  i=i+1
+
+!    *** If symmetric component, creation of additional three orientations ***
+  if (CPFEM_mat(CPFEM_mn,2)==1) then
+!    *** First one ***
+     phi1_s=180.0_pRe-phi1
+     if (phi1_s.LT.0.0_pRe) phi1_s=phi1_s+360.0_pRe
+     PHI_s=180.0_pRe-PHI
+     if (PHI_s.LT.0.0_pRe) PHI_s=PHI_s+360.0_pRe
+     phi2_s=phi2+180.0_pRe
+     if (phi2_s.GT.360.0_pRe) phi2_s=phi2_s-360.0_pRe
+     CPFEM_ini_ori(1,i,CPFEM_en,CPFEM_in)=phi1_s
+     CPFEM_ini_ori(2,i,CPFEM_en,CPFEM_in)=PHI_s
+     CPFEM_ini_ori(3,i,CPFEM_en,CPFEM_in)=phi2_s
+!    *** Orientation matrix for initial orientation ***
+     call CPFEM_euldreh(phi1_s,PHI_s,phi2_s,ori_mat)
+     CPFEM_Fp_old(:,:,i,CPFEM_en,CPFEM_in)=ori_mat
+     i=i+1
+!    *** Second one ***
+     phi1_s=360.0_pRe-phi1
+     PHI_s=180.0_pRe-PHI
+     if (PHI_s.LT.0.0_pRe) PHI_s=PHI_s+360.0_pRe
+     phi2_s=phi2+180.0_pRe
+     if (phi2_s.GT.360.0_pRe) phi2_s=phi2_s-360.0_pRe
+     CPFEM_ini_ori(1,i,CPFEM_en,CPFEM_in)=phi1_s
+     CPFEM_ini_ori(2,i,CPFEM_en,CPFEM_in)=PHI_s
+     CPFEM_ini_ori(3,i,CPFEM_en,CPFEM_in)=phi2_s
+!    *** Orientation matrix for initial orientation ***
+     call CPFEM_euldreh(phi1_s,PHI_s,phi2_s,ori_mat)
+     CPFEM_Fp_old(:,:,i,CPFEM_en,CPFEM_in)=ori_mat
+     i=i+1
+!    *** Third one ***
+     phi1_s=phi1+180.0_pRe
+     if (phi1_s.GT.360.0_pRe) phi1_s=phi1_s-360.0_pRe
+     PHI_s=PHI
+     phi2_s=phi2
+     CPFEM_ini_ori(1,i,CPFEM_en,CPFEM_in)=phi1_s
+     CPFEM_ini_ori(2,i,CPFEM_en,CPFEM_in)=PHI_s
+     CPFEM_ini_ori(3,i,CPFEM_en,CPFEM_in)=phi2_s
+!    *** Orientation matrix for initial orientation ***
+     call CPFEM_euldreh(phi1_s,PHI_s,phi2_s,ori_mat)
+     CPFEM_Fp_old(:,:,i,CPFEM_en,CPFEM_in)=ori_mat
+     i=i+1
+  else if ((CPFEM_mat(CPFEM_mn,2).NE.0).AND.
+     &     (CPFEM_mat(CPFEM_mn,2).NE.2)) then
+     call CPFEM_error(520)
+  endif
+    enddo
+    CPFEM_tauc_slip_old(:,:,CPFEM_en,CPFEM_in)=s0_slip
+ endif
+
+!    ************************************
+!    ***   CP-FEM Calculation   *** 
+!    ************************************
+!    *** Reinitialization of stress and consistent tangent ***
+ CPFEM_s=0
+ CPFEM_d=0
+
+!    *** Loop over all the components ***
+ do iori=1,nori
+
+!    *** Initialization of the matrices for t=t0 ***
+ Fp_old=CPFEM_Fp_old(:,:,iori,CPFEM_en,CPFEM_in)
+ tauc_slip_old=CPFEM_tauc_slip_old(:,iori,CPFEM_en,CPFEM_in)
+ tauc_slip_new=tauc_slip_old
+ g_old=CPFEM_g_old(:,iori,CPFEM_en,CPFEM_in)
+ Tstar_v=CPFEM_sigma_old(:,iori,CPFEM_en,CPFEM_in)
+ p10=CPFEM_ini_ori(1,iori,CPFEM_en,CPFEM_in)
+ P0=CPFEM_ini_ori(2,iori,CPFEM_en,CPFEM_in)
+ p20=CPFEM_ini_ori(3,iori,CPFEM_en,CPFEM_in)
+ vf=CPFEM_mat(CPFEM_mn,7*iori+2)
+
+!    *** Calculation of the solution at t=t1 ***
+ if (modulo(CPFEM_cn,ijaco).EQ.0) then
+    call CPFEM_stress(CPFEM_tinc,CPFEM_ffn,CPFEM_ffn1,Fp_old,Fp_new,
+     &     g_old,g_new,tauc_slip_old, 
+     &     tauc_slip_new,
+     &     Tstar_v,cs,cd,p11,P1,p21,dgmaxc,1,iconv,ising,
+     &     icut,CPFEM_en,CPFEM_in,CPFEM_inc)
+!    ***   Evaluation of ising      ***
+!    *** ising=2 => singular matrix in jacobi calculation ***
+!    ***      => use old jacobi        ***
+    if (ising==2) then
+  jpara=0
+    endif 
+!    *** Calculation of the consistent tangent ***
+    CPFEM_d=CPFEM_d+vf*cd
+ else
+    call CPFEM_stress(CPFEM_tinc,CPFEM_ffn,CPFEM_ffn1,Fp_old,Fp_new, 
+     &     g_old,g_new,tauc_slip_old,
+     &     tauc_slip_new,
+     &     Tstar_v,cs,hh6,p11,P1,p21,dgmaxc,0,iconv,
+     &     ising,icut,CPFEM_en,CPFEM_in,CPFEM_inc)
+    jpara=0
+ endif
+
+!    *** Cases of unsuccessful calculations *** 
+!    ***   Evaluation od ising  ***
+!    *** ising!=0 => singular matrix ***
+ if (ising==1) then
+    write(6,*) 'Singular matrix!'
+    write(6,*) 'Integration point: ',CPFEM_in
+    write(6,*) 'Element: ',CPFEM_en
+    call CPFEM_error(700)
+    CPFEM_timefactor=1.e5_pRe
+    return
+ endif
+
+!    ***   Evaluation of icut   ***
+!    *** icut!=0 => too many cutbacks ***
+ if (icut==1) then
+    write(6,*) 'Too many cutbacks'
+    write(6,*) 'Integration point: ',CPFEM_in
+    write(6,*) 'Element: ',CPFEM_en
+    call CPFEM_error(600)
+    CPFEM_timefactor=1.e5_pRe
+    return
+ endif
+
+!    ***  Evaluation of iconv ***
+!    *** iconv!=0 => no convergence ***
+ if (iconv==1) then
+    write(6,*) 'Inner loop did not converged!'
+    write(6,*) 'Integration point: ',CPFEM_in
+    write(6,*) 'Element:',CPFEM_en
+    call CPFEM_error(600)
+    CPFEM_timefactor=1.e5_pRe
+    return
+ else 
+    if (iconv==2) then
+  write(6,*) 'Outer loop did not converged!'
+  write(6,*) 'Integration point: ',CPFEM_in
+  write(6,*) 'Element: ',CPFEM_en
+  call CPFEM_error(600)
+  CPFEM_timefactor=1.e5_pRe
+  return
+    endif
+ endif
+
+!    *** Update the differents matrices for t=t1 ***
+ CPFEM_Fp_new(:,:,iori,CPFEM_en,CPFEM_in)=Fp_new
+ CPFEM_tauc_slip_new(:,iori,CPFEM_en,CPFEM_in)=tauc_slip_new
+ CPFEM_g_new(:,iori,CPFEM_en,CPFEM_in)=g_new
+ CPFEM_sigma_new(:,iori,CPFEM_en,CPFEM_in)=Tstar_v
+
+!    *** Calculation of the misorientation ***    
+ phi1mis(1)=p10
+ PHImis(1)=P0
+ phi2mis(1)=p20
+ phi1mis(2)=p11
+ PHImis(2)=P1
+ phi2mis(2)=p21
+ call CPFEM_misori(phi1mis,PHImis,phi2mis,orimis)
+
+!    *** Update the results plotted in MENTAT ***
+ CPFEM_results(1,iori,CPFEM_en,CPFEM_in)=p11
+ CPFEM_results(2,iori,CPFEM_en,CPFEM_in)=P1
+ CPFEM_results(3,iori,CPFEM_en,CPFEM_in)=p21
+ CPFEM_results(4,iori,CPFEM_en,CPFEM_in)=orimis
+ CPFEM_results(5,iori,CPFEM_en,CPFEM_in)=sum(g_new)
+ CPFEM_results(7,iori,CPFEM_en,CPFEM_in)=sum(tauc_slip_new)/nslip
+ CPFEM_results(21,iori,CPFEM_en,CPFEM_in)=vf
+
+!    *** Evaluation of the maximum shear ***
+ dgmax=max(dgmax,dgmaxc)
+!    *** Evaluation of the average Cauchy stress ***    
+ CPFEM_s=CPFEM_s+vf*cs
+
+ enddo
+!    *** End of the loop over the components ***
+!    *************************************
+!    *** End of the CP-FEM Calculation *** 
+!    *************************************
+
+!    *** Approximate relative element thickness ***
+ call CPFEM_thick(CPFEM_ffn1,CPFEM_en,CPFEM_in)
+!    *** Restoration of the old jacobian if necessary ***
+ if (jpara==0) then
+    CPFEM_d=CPFEM_jaco_old(:,:,CPFEM_en,CPFEM_in)
+ else
+!    *** Store the new jacobian ***     
+    CPFEM_jaco_old(:,:,CPFEM_en,CPFEM_in)=CPFEM_d
+ endif    
+!    *** Calculate timefactor ***
+ CPFEM_timefactor=dgmax/dgs
+         
+ return
+ end
+
+
+     
+ subroutine CPFEM_stress(
+     &CPFEM_tinc,
+     &CPFEM_ffn,
+     &CPFEM_ffn1,
+     &Fp_old,
+     &Fp_new,
+     &g_old,
+     &g_new,
+     &tauc_slip_old,
+     &tauc_slip_new,
+     &Tstar_v,
+     &cs,
+     &dcs_de,
+     &phi1,
+     &PHI,
+     &phi2,
+     &dgmaxc,    
+     &isjaco, 
+     &iconv,
+     &ising,
+     &icut,
+     &CPFEM_en,
+     &CPFEM_in,
+     &CPFEM_inc
+     &)
+c********************************************************************
+c This routine calculates the stress for a single component
+c and manages the independent time incrmentation
+c********************************************************************
+ use mpie
+ use prec, only: pRe,pIn
+ implicit none
+
+!    *** Definition of variables ***
+ integer(pIn) isjaco,iconv,ising,icut,CPFEM_en,CPFEM_in,CPFEM_inc
+ real(pRe) CPFEM_tinc,CPFEM_ffn(3,3),CPFEM_ffn1(3,3),Fp_old(3,3),
+     &      Fp_new(3,3),g_old(nslip),g_new(nslip),
+     &      tauc_slip_old(nslip),tauc_slip_new(nslip),
+     &      Tstar_v(6),
+     &      cs(6),dcs_de(6,6),phi1,PHI,phi2,dgmaxc
+ integer(pIn) jcut
+ real(pRe) Tstar_v_h(6),tauc_slip_new_h(nslip),
+     &      dt_i,delta_Fg(3,3),Fg_i(3,3),
+     &      tauc_slip_new_i(nslip),time,mm(6,6)
+
+!    *** Numerical parameters ***
+ integer(pIn), parameter :: ncut=7_pIn
+ icut=0
+
+!    *** First attempt to calculate Tstar and tauc with initial timestep ***
+ Tstar_v_h=Tstar_v
+ tauc_slip_new_h=tauc_slip_new
+ call CPFEM_stress_int(CPFEM_tinc,CPFEM_ffn,CPFEM_ffn1,Fp_old,Fp_new,
+     &      g_old,g_new,tauc_slip_old,
+     &      tauc_slip_new,
+     &      Tstar_v,cs,dcs_de,phi1,PHI,phi2,dgmaxc,
+     &      isjaco,iconv,ising,CPFEM_en,CPFEM_in,CPFEM_inc)
+ if ((iconv==0).AND.(ising==0)) then
+    return
+ endif
+
+!    *** Calculation of stress and resistences with a cut timestep ***
+!    ***      when first try did not converge    ***  
+ jcut=1_pIn
+ dt_i=0.5*CPFEM_tinc
+ delta_Fg=0.5*(CPFEM_ffn1-CPFEM_ffn)
+ Fg_i=CPFEM_ffn+delta_Fg
+ Tstar_v=Tstar_v_h
+ tauc_slip_new_i=tauc_slip_new_h
+!    *** Start time ***
+ time=dt_i
+ do while (time.LE.CPFEM_tinc)
+    call CPFEM_stress_int(time,CPFEM_ffn,Fg_i,Fp_old,Fp_new,g_old,
+     &    g_new,tauc_slip_old,
+     &    tauc_slip_new_i,
+     &    Tstar_v,cs,mm,phi1,PHI,
+     &    phi2,dgmaxc,0_pIn,iconv,ising,CPFEM_en,
+     &    CPFEM_in,CPFEM_inc)
+ if ((iconv==0).AND.(ising==0)) then
+   time=time+dt_i
+   Fg_i=Fg_i+delta_Fg
+   Tstar_v_h=Tstar_v
+   tauc_slip_new_h=tauc_slip_new_i
+     else
+   jcut=jcut+1
+   if (jcut.GT.ncut) then
+      icut=1
+      return
+   endif
+   dt_i=0.5*dt_i
+   time=time-dt_i
+   delta_Fg=0.5*delta_Fg
+   Fg_i=Fg_i-delta_Fg
+   Tstar_v=Tstar_v_h
+   tauc_slip_new_i=tauc_slip_new_h
+     endif
+ enddo
+
+!    *** Final calculation of stress and resistences withb full timestep ***
+ tauc_slip_new=tauc_slip_new_i
+ call CPFEM_stress_int(CPFEM_tinc,CPFEM_ffn,CPFEM_ffn1,Fp_old,Fp_new,
+     &      g_old,g_new,tauc_slip_old,
+     &      tauc_slip_new,
+     &      Tstar_v,cs,dcs_de,phi1,PHI,phi2,dgmaxc,
+     &      isjaco,iconv,ising,CPFEM_en,CPFEM_in,CPFEM_inc) 
+ return
+ end
+
+
+
+ subroutine CPFEM_stress_int(
+     &dt,      ! Time increment
+     &Fg_old,     ! Old global deformation gradient
+     &Fg_new,     ! New global deformation gradient
+     &Fp_old,     ! Old plastic deformation gradient
+     &Fp_new,     ! New plastic deformation gradient
+     &g_old,     ! Old cumulative plastic strain of a slip system
+     &g_new,     ! New cumulative plastic strain of a slip system
+     &tauc_slip_old,  ! Old resistence of a slip system
+     &tauc_slip_new,  ! New resistence of a slip system
+     &Tstar_v,     ! Second Piola-Kirschoff stress tensor
+     &cs,      ! Cauchy stress vector
+     &dcs_de,     ! Consistent tangent
+     &phi1,      ! Euler angle phi1
+     &PHI,      ! Euler angle PHI
+     &phi2,      ! Euler angle phi2
+     &dgmaxc,
+     &isjaco,
+     &iconv,
+     &ising,
+     &CPFEM_en,
+     &CPFEM_in,
+     &CPFEM_inc
+     &)     
+c********************************************************************
+c This routine calculates the stress for a single component
+c it is based on the paper by Kalidindi et al.:
+c J. Mech. Phys, Solids Vol. 40, No. 3, pp. 537-569, 1992
+c it is modified to use anisotropic elasticity matrix
+c********************************************************************
+ use mpie
+ use prec
+ implicit none
+
+!    *** Definition of variables *** 
+ integer(pIn) isjaco,iconv,ising,CPFEM_en,CPFEM_in,CPFEM_inc
+ real(pRe) dt,Fg_old(3,3),Fg_new(3,3),Fp_old(3,3),Fp_new(3,3),
+     &      g_old(nslip),g_new(nslip),
+     &      tauc_slip_old(nslip),tauc_slip_new(nslip),
+     &      Tstar_v(6),
+     &      cs(6),dcs_de(6,6),phi1,PHI,phi2,dgmaxc
+ integer(pIn) ic     
+ real(pRe) gdot_slip(nslip),Fe(3,3),R(3,3),
+     &      U(3,3),de(3,3),tauc2(nslip),Fp2(3,3),
+     &      sgm2(6),cs1(6),dF(3,3),Fg2(3,3),dev(6)    
+!    *** Numerical parameters ***
+ real(pRe), parameter :: pert_ct=1.0e-5_pRe  
+ 
+!    *** Error treatment ***
+ dgmaxc=0
+ iconv=0
+ ising=0   
+
+!    *********************************************
+!    ***  Calculation of the new Cauchy stress ***
+!    *********************************************
+
+!    *** Call Newton-Raphson method ***
+ call NEWTON_RAPHSON(dt,Fg_old,Fg_new,Fp_old,Fp_new,Fe,gdot_slip,
+     &     tauc_slip_old,tauc_slip_new,  
+     &     Tstar_v,cs,iconv,ising)
+ 
+!    *** Calculation of the new orientation ***
+ call math_pDecomposition(Fe,U,R,ising)
+ if (ising==1) then
+    return
+ endif
+ call math_RtoEuler(transpose(R),phi1,PHI,phi2)
+
+!    *** Evaluation of the maximum slip shear ***
+ dgmaxc=maxval(abs(gdot_slip*dt))
+ g_new=g_old+abs(gdot_slip)*dt
+
+!    *** Choice of the calculation of the consistent tangent ***     
+ if (isjaco==0) then
+    return
+ endif
+
+!    *********************************************
+!    *** Calculation of the consistent tangent ***
+!    *********************************************
+
+!    *** Calculation of the consistent tangent with perturbation ***
+!    *** Perturbation on the component of Fg ***    
+ do ic=1,6    
+
+!    *** Method of small perturbation
+ dev=0
+ if(ic.le.3) dev(ic)=pert_ct
+ if(ic.gt.3) dev(ic)=pert_ct/2
+ call CPFEM_conv6to33(dev,de)
+ dF=matmul(de,Fg_old) 
+ Fg2=Fg_new+dF
+ sgm2=Tstar_v
+ tauc2=tauc_slip_new
+
+!    *** Calculation of the perturbated Cauchy stress ***
+ call NEWTON_RAPHSON(dt,Fg_old,Fg2,Fp_old,Fp2,Fe,gdot_slip,
+     &     tauc_slip_old,tauc2, 
+     &     sgm2,cs1,iconv,ising)     
+  
+!    *** Consistent tangent ***
+ dcs_de(:,ic)=(cs1-cs)/pert_ct     
+ enddo
+    
+ return
+ end
+
+
+ 
+
+ subroutine NEWTON_RAPHSON(
+     &dt, 
+     &Fg_old,     
+     &Fg_new,     
+     &Fp_old,     
+     &Fp_new,
+     &Fe,       
+     &gdot_slip,    
+     &tauc_slip_old,  
+     &tauc_slip_new,  
+     &Tstar_v, 
+     &cs,
+     &iconv,
+     &ising          
+     &) 
+!***********************************************************************
+!***        NEWTON-RAPHSON Calculation      ***
+!***********************************************************************
+ use mpie
+ use prec
+ implicit none
+
+!    *** Definition of variables *** 
+ integer(pIn) isjaco,iconv,ising,CPFEM_en,CPFEM_in,CPFEM_inc
+ real(pRe) dt,Fg_old(3,3),Fg_new(3,3),Fp_old(3,3),Fp_new(3,3),
+     &      g_old(nslip),g_new(nslip),
+     &      tauc_slip_old(nslip),tauc_slip_new(nslip),
+     &      Tstar_v(6),cs(6),dcs_de(6,6),phi1,PHI,phi2,dgmaxc
+ integer(pIn) i,j,k,iouter,iinner,ijac,ic      
+ real(pRe) invFp_old(3,3),det,A(3,3),Estar0_v(6),Tstar0_v(6),
+     &      mm(3,3),mm1(3,3),vv(6),Dslip(6,nslip),
+     &      tau_slip(nslip),gdot_slip(nslip),
+     &      R1(6),norm1,Tstar_v_per(6),R1_per(6),
+     &      Jacobi(6,6),invJacobi(6,6),dTstar_v(6),R2(nslip),
+     &      dtauc_slip(nslip),norm2,dLp(3,3),
+     &      Estar(3,3),Estar_v(6),invFp_new(3,3),
+     &      invFp2(3,3),Lp(3,3),Fe(3,3),
+     &      R(3,3),U(3,3),dgdot_dtaucslip(nslip)
+ real(pRe) de(3,3),dev(6),tauc2(nslip),fp2(3,3),
+     &      sgm2(6),cs1(6),df(3,3),
+     &      fg2(3,3),tauc_old(nslip),crite,tol_in,tol_out
+
+!    *** Numerical parameters ***
+ integer(pIn), parameter :: nouter=50
+ real(pRe), parameter :: tol_outer=1.0e-4_pRe
+ integer(pIn), parameter :: ninner=2000
+ real(pRe), parameter :: tol_inner=1.0e-3_pRe   
+ real(pRe), parameter :: eta=13.7_pRe 
+ integer(pIn), parameter :: numerical=0
+ real(pRe), parameter :: pert_nr=1.0e-8_pRe  
+ crite=eta*s0_slip/n_slip
+
+!    *** Tolerences ***
+ tol_in=tol_inner*s0_slip
+ tol_out=tol_outer*s0_slip 
+
+!    *** Error treatment ***
+ dgmaxc=0
+ iconv=0
+ ising=0
+
+!    *** Calculation of Fp_old(-1) ***
+ invFp_old=Fp_old   
+ call invert(invFp_old,3,0,0,det,3)
+ if (det==0.0_pRe) then
+    ising=1
+    return
+ endif
+
+!    *** Calculation of A and T*0 (see Kalidindi) ***
+ A=matmul(transpose(matmul(Fg_new,invFp_old)),
+     &    matmul(Fg_new,invFp_old))
+ call CPFEM_conv33to6((A-I3)/2,Estar0_v)
+ Tstar0_v=matmul(Cslip_66,Estar0_v)
+
+!    *** Calculation of Dslip (see Kalidindi) *** 
+ do i=1,nslip
+    mm=matmul(A,Sslip(i,:,:))
+    mm1=(mm+transpose(mm))/2
+    vv = math_33to6(mm1)
+    Dslip(:,i)=matmul(Cslip_66,vv)
+ enddo
+
+!    *** Second level of iterative procedure: Resistences ***
+ do iouter=1,nouter
+!    *** First level of iterative procedure: Stresses ***
+ do iinner=1,ninner
+
+!    *** Calculation of gdot_slip ***    
+ do i=1,nslip
+    tau_slip(i)=dot_product(Tstar_v,Sslip_v(i,:))
+ enddo
+ call slip_rate(tau_slip,tauc_slip_new,gdot_slip,
+     &     dgdot_dtaucslip)
+
+!    *** Evaluation of Tstar and Gn (see Kalidindi) ***
+ vv=0
+ do i=1,nslip
+    vv=vv-gdot_slip(i)*Dslip(:,i)
+ enddo
+ R1=Tstar_v-Tstar0_v-vv*dt  
+ norm1=maxval(abs(R1))  
+ if (norm1.LT.tol_in) then 
+    goto 100
+ endif
+ 
+!    *** Jacobi Calculation ***
+ if (numerical==1) then
+!    *** Perturbation method ***
+ else
+!    *** Analytical Calculation ***
+ Jacobi=0
+ do i=1,nslip
+    do j=1,6
+    do k=1,6
+  Jacobi(j,k)=Jacobi(j,k)
+     &     +Dslip(j,i)*Sslip_v(i,k)*dgdot_dtaucslip(i)
+    enddo
+    enddo
+ enddo
+ Jacobi=Jacobi*dt
+ do i=1,6
+    Jacobi(i,i)=1.0_pRe+Jacobi(i,i)
+ enddo
+ endif
+!    *** End of the Jacobi calculation ***
+
+!    *** Inversion of the Jacobi matrix ***
+ invJacobi=Jacobi
+ call invert(invJacobi,6,0,0,det,6)
+ if (det==0.0_pRe) then
+    do i=1,6
+  Jacobi(i,i)=1.05d0*maxval(Jacobi(i,:))
+    enddo
+    invJacobi=Jacobi
+    call invert(invJacobi,6,0,0,det,6)
+    if (det==0.0_pRe) then
+  ising=1
+  return
+    endif
+ endif
+ dTstar_v=matmul(invJacobi,R1)
+
+!    *** Correction (see Kalidindi) ***
+ do i=1,6
+    if (abs(dTstar_v(i)).GT.crite) then
+  dTstar_v(i)=sign(crite,dTstar_v(i))
+    endif
+ enddo
+ Tstar_v=Tstar_v-dTstar_v
+
+ enddo
+ iconv=1
+ return
+!    *** End of the first level of iterative procedure ***
+
+ 100 continue
+
+ call hardening(tauc_slip_new,gdot_slip,dtauc_slip)
+
+!    *** Arrays of residuals ***
+ R2=tauc_slip_new-tauc_slip_old-dtauc_slip*dt 
+ norm2=maxval(abs(R2))
+ if (norm2.LT.tol_out) then
+    goto 200
+ endif
+ tauc_slip_new=tauc_slip_old+dtauc_slip*dt
+ enddo  
+ iconv=2
+ return
+!    *** End of the second level of iterative procedure ***
+
+ 200 continue
+
+ call plastic_vel_grad(dt,tau_slip,tauc_slip_new,Lp)
+ 
+!    *** Calculation of Fp(t+dt) (see Kalidindi) ***
+ dLp=I3+Lp*dt
+ Fp_new=matmul(dLp,Fp_old)
+ call CPFEM_determ(Fp_new,det)
+ Fp_new=Fp_new/det**(1.0_pRe/3.0_pRe)
+
+!    *** Calculation of F*(t+dt) (see Kalidindi) ***
+ invFp_new=Fp_new
+ call invert(invFp_new,3,0,0,det,3)
+ if (det==0.0_pRe) then
+    ising=1
+    return
+ endif
+ Fe=matmul(Fg_new,invFp_new)
+
+!    *** Calculation of Estar ***
+ Estar=0.5_pRe*(matmul(transpose(Fe),Fe)-I3)
+ call CPFEM_conv33to6(Estar,Estar_v)
+
+!    *** Calculation of the Cauchy stress ***
+ call cauchy_stress(Estar_v,Fe,cs)
+
+ return
+ end
+
+
+ 
+ end module
\ No newline at end of file
diff --git a/IO.f90 b/IO.f90
new file mode 100644
index 000000000..72acd1462
--- /dev/null
+++ b/IO.f90
@@ -0,0 +1,254 @@
+
+!##############################################################
+ MODULE IO   
+!##############################################################
+
+ CONTAINS
+!---------------------------
+! function IO_open_file(unit,relPath)
+! function IO_open_inputFile(unit)
+! function IO_stringPos(line,N)
+! function IO_stringValue(line,positions,pos)
+! function IO_floatValue(line,positions,pos)
+! function IO_intValue(line,positions,pos)
+! function IO_lowercase(line)
+! subroutine IO_error(ID)
+!---------------------------
+
+
+
+!********************************************************************
+! open existing file to given unit
+! path to file is relative to working directory
+!********************************************************************
+ logical FUNCTION IO_open_file(unit,relPath)
+
+ use prec, only: pInt
+ implicit none
+
+ character(len=*), parameter :: pathSep = achar(47)//achar(92) ! /, \
+ character(len=*) relPath
+ integer(pInt) unit
+ character(256) path
+
+ inquire(6, name=path) ! determine outputfile
+ open(unit,status='old',err=100,file=path(1:scan(path,pathSep,back=.true.))//relPath)
+ IO_open_file = .true.
+ return
+100 IO_open_file = .false.
+ return
+ END FUNTION
+
+
+!********************************************************************
+! open FEM inputfile to given unit
+!********************************************************************
+ logical FUNCTION IO_open_inputFile(unit)
+
+ use prec, only: pReal, pInt
+ implicit none
+
+ character(256) outName
+ integer(pInt) unit, extPos
+ character(3) ext
+
+ inquire(6, name=outName) ! determine outputfileName
+ extPos = len_trim(outName)-2
+ if(outName(extPos:extPos+2)=='out') then
+     ext='dat' ! MARC
+ else
+     ext='inp' ! ABAQUS
+ end if
+ open(unit,status='old',err=100,file=outName(1:extPos-1)//ext)
+ IO_open_inputFile = .true.
+ return
+100 IO_open_inputFile = .false.
+ return
+
+ END FUNCTION
+
+
+!********************************************************************
+! locate at most N space-separated parts in line
+! return array containing number of parts found and
+! their left/right positions to be used by IO_xxxVal
+!********************************************************************
+ FUNCTION IO_stringPos (line,N)
+
+ use prec, only: pReal,pInt
+ implicit none
+
+ character(len=*) line
+ character(len=*), parameter :: sep=achar(32)//achar(9) ! whitespaces
+ integer(pInt) N, part
+ integer(pInt) IO_stringPos(1+N*2)
+
+ IO_stringPos = -1
+ IO_stringPos(1) = 0
+ part = 1
+ do while ((N<1 .or. part<=N) .and. verify(line(IO_stringPos(part*2-1)+1:),sep)>0)
+   IO_stringPos(part*2) = IO_stringPos(part*2-1)+verify(line(IO_stringPos(part*2-1)+1:),sep)
+   IO_stringPos(part*2+1) = IO_stringPos(part*2)+scan(line(IO_stringPos(part*2):),sep)-2
+   part = part+1
+ end do
+ IO_stringPos(1) = part-1
+ return
+
+ END FUNCTION
+
+
+!********************************************************************
+! read string value at pos from line
+!********************************************************************
+ FUNCTION IO_stringValue (line,positions,pos)
+ 
+ use prec, only: pReal,pInt
+ implicit none
+ 
+ character(len=*) line
+ integer(pInt) positions(*),pos
+ character(len=1+positions(pos*2+1)-positions(pos*2)) IO_stringValue
+
+ IO_stringValue = line(positions(pos*2):positions(pos*2+1))
+ return
+
+ END FUNCTION
+
+
+!********************************************************************
+! read float value at pos from line
+!********************************************************************
+ FUNCTION IO_floatValue (line,positions,pos)
+ 
+ use prec, only: pReal,pInt
+ implicit none
+ 
+ character(len=*) line
+ real(pReal) IO_floatValue
+ integer(pInt) positions(*),pos
+
+ READ(UNIT=line(positions(pos*2):positions(pos*2+1)),ERR=100,FMT='(F)') IO_floatValue
+ return
+100 IO_floatValue = -1.0_pReal
+ return
+
+ END FUNCTION
+
+
+!********************************************************************
+! read int value at pos from line
+!********************************************************************
+ FUNCTION IO_intValue (line,positions,pos)
+ 
+ use prec, only: pReal,pInt
+ implicit none
+ 
+ character(len=*) line
+ integer(pInt) IO_intValue
+ integer(pInt) positions(*),pos
+
+ READ(UNIT=line(positions(pos*2):positions(pos*2+1)),ERR=100,FMT='(I)') IO_intValue
+ return
+100 IO_intValue = -1_pInt
+ return
+
+ END FUNCTION
+
+
+!********************************************************************
+! change character in line to lower case
+!********************************************************************
+ FUNCTION IO_lowercase (line)
+
+ use prec, only: pInt
+ implicit none
+
+ character (len=*) line
+ character (len=len(line)) IO_lowercase
+ integer(pInt) i
+
+ IO_lowercase = line
+ forall (i=1:len(line),64<ichar(line(i:i)).and.ichar(line(i:i))<91) IO_lowercase(i:i)=achar(ichar(line(i:i))+32)
+ return 
+
+ END FUNCTION
+
+
+!********************************************************************
+! in place change character in line to lower case
+!********************************************************************
+ SUBROUTINE IO_lowercaseInplace (line)
+
+ use prec, only: pInt
+ implicit none
+
+ character (len=*) line
+ integer(pInt) i
+
+ forall (i=1:len(line),64<ichar(line(i:i)).and.ichar(line(i:i))<91) line(i:i)=achar(ichar(line(i:i))+32)
+ return 
+
+ END SUBROUTINE
+
+
+!********************************************************************
+! write error statements to standard out
+! and terminate the Marc run with exit #9xxx
+! in ABAQUS either time step is reduced or execution terminated
+!********************************************************************
+ SUBROUTINE IO_error(ID)
+
+ use prec, only: pInt
+ implicit none
+
+ integer(pInt) ID
+ character(len=80) msg
+
+ select case (ID)
+ case (100)
+   msg='File material.mpie can not be opened'
+ case (110)
+   msg='File material99.mpie can not be opened'
+ case (120)
+   msg='File with c-coefficience can not be opened'
+ case (130)
+   msg='File with single orientations can not be opened'
+ case (200)
+   msg='Error reading from file material.mpie'
+ case (210)
+   msg='Error reading from file material99.mpie'
+ case (220)
+   msg='Error reading from file containing c-coefficiences'
+ case (230)
+   msg='Error reading from file containing single orientations'
+ case (300)
+   msg='This material can only be used with &
+  &elements with three direct stress components'
+ case (400)
+   msg='Unknown alloy number specified'
+ case (500)
+   msg='Unknown lattice number specified'
+ case (510)
+   msg='Unknown component type specified'
+ case (520)
+   msg='Unknown component symmetry specified'
+ case (600)
+   msg='Stress iteration did not converge'
+ case (700)
+   msg='Singular matrix in stress iteration'
+ case default
+   msg='Unknown error number'
+ end select
+ 
+ write(6,*) 'MPIE Material Routine Ver. 0.7 by Dr. F. Roters'
+ write(6,*)
+ write(6,*) msg
+ call flush(6)
+!  call quit(9000+ID)
+! ABAQUS returns in some cases
+ return
+
+ END SUBROUTINE
+
+
+ END MODULE IO
diff --git a/constitutive.f90 b/constitutive.f90
new file mode 100644
index 000000000..47a8fd3a0
--- /dev/null
+++ b/constitutive.f90
@@ -0,0 +1,423 @@
+
+!    ---------------------------
+ MODULE constitutive 
+!    ---------------------------
+!    *** constitutive equations ***
+
+ use prec, only: pRe,pIn
+ implicit none
+
+! ***************************
+! *** Material parameters ***
+! ***************************  
+ real(pRe), allocatable :: Cslip_66(:,:,:),Cslip_3333(:,:,:,:,:)
+ real(pRe), allocatable :: s0_slip(:),gdot0_slip(:)
+ real(pRe), allocatable :: h0(:),w0(:),s_sat(:),q0(:),n_slip(:)
+ real(pRe), allocatable :: hardening_matrix(:,:,:)
+ character*80, allocatable :: TCfile(:), ODFfile(:)
+ real(pRe), parameter :: latent=1.4_pRe
+ integer(pIn), parameter :: Nslip(3)
+ integer(pIn) Nmats
+
+ real(pRe) sn(3,48,3),sd(3,48,3)
+ real(pRe) Sslip(3,48,3,3),Sslip_v(3,48,6)
+!    *** Vectors n and d for each fcc slip systems ***
+! MISSING needs to be generalized to fcc and bcc (and hcp?)
+! 1: fcc, 2: bcc, 3: hcp
+! the respective crystal structure has to be defined
+! via material parameter 'crystal_structure' in [material]
+ data sd( 1,:)/ 0, 1,-1/ ; data sn( 1,:)/ 1, 1, 1/
+ data sd( 2,:)/-1, 0, 1/ ; data sn( 2,:)/ 1, 1, 1/
+ data sd( 3,:)/ 1,-1, 0/ ; data sn( 3,:)/ 1, 1, 1/
+ data sd( 4,:)/ 0,-1,-1/ ; data sn( 4,:)/-1,-1, 1/
+ data sd( 5,:)/ 1, 0, 1/ ; data sn( 5,:)/-1,-1, 1/
+ data sd( 6,:)/-1, 1, 0/ ; data sn( 6,:)/-1,-1, 1/
+ data sd( 7,:)/ 0,-1, 1/ ; data sn( 7,:)/ 1,-1,-1/
+ data sd( 8,:)/-1, 0,-1/ ; data sn( 8,:)/ 1,-1,-1/
+ data sd( 9,:)/ 1, 1, 0/ ; data sn( 9,:)/ 1,-1,-1/
+ data sd(10,:)/ 0, 1, 1/ ; data sn(10,:)/-1, 1,-1/
+ data sd(11,:)/ 1, 0,-1/ ; data sn(11,:)/-1, 1,-1/
+ data sd(12,:)/-1,-1, 0/ ; data sn(12,:)/-1, 1,-1/
+
+ contains
+ 
+! **************************************
+! ***     module Init      ***
+! **************************************
+ subroutine constitutive_init()
+ 
+ call constitutive_calc_SchmidM()
+ call constitutive_calc_hardeningM()
+ call constitutive_parse_materialDat()
+ 
+ end subroutine
+ 
+! **************************************
+! *** Calculation of Schmid matrices ***
+! **************************************
+ subroutine constitutive_calc_SchmidM()
+
+ use prec, only: pRe,pIn
+ implicit none
+
+ integer(pIn) i,j,k,l
+ real(pRe) invNorm
+ 
+ do j=1,3  ! iterate over crystal system
+   do i=1,Nslip(j)  ! iterate over slip systems
+     do k=1,3
+  do l=1,3
+    Sslip(j,i,k,l)=sd(j,i,k)*sn(j,i,l)
+  enddo
+     enddo
+     invNorm = dsqrt(1.0_pRe/
+     &    (sn(j,i,1)**2+sn(j,1,2)**2+sn(j,i,3)**2)/
+     &    (sd(j,i,1)**2+sd(j,1,2)**2+sd(j,i,3)**2))
+     Sslip(j,i,:,:) = Sslip(j,i,:,:)*invNorm
+     Sslip_v(j,i,1)=Sslip(j,i,1,1)
+     Sslip_v(j,i,2)=Sslip(j,i,2,2)
+     Sslip_v(j,i,3)=Sslip(j,i,3,3)
+     Sslip_v(j,i,4)=Sslip(j,i,1,2)+Sslip(j,i,2,1)
+     Sslip_v(j,i,5)=Sslip(j,i,2,3)+Sslip(j,i,3,2)
+     Sslip_v(j,i,6)=Sslip(j,i,1,3)+Sslip(j,i,3,1)
+   enddo
+ enddo
+ end subroutine
+ 
+! ****************************************
+! *** Hardening matrix (see Kalidindi) ***
+! ****************************************
+ subroutine constitutive_calc_hardeningM()
+
+ use prec, only: pRe,pIn
+ implicit none
+
+ integer(pIn) i,j,k,l
+
+! MISSING iteration over crystal systems
+! PE does not understand the j,k looping
+
+ hardening_matrix=latent
+ do i=1,10,3
+   do j=1,3
+     do k=1,3
+  hardening_matrix(i-1+j,i-1+k)=1.0_ZdRe
+     enddo
+   enddo
+ enddo
+
+! ****************************************
+! ***    Reading 'material.mpie'  ***     
+! ****************************************
+ subroutine constitutive_parse_materialDat()
+
+ use prec, only: pRe,pIn
+ implicit none
+
+ character*80 line
+ integer(pIn) i,j,k,l,positions(4)
+
+! MISSING: needs to be 2 pass
+! first pass to count Nmats and allocate
+! 2nd pass to read actual parameters
+
+ write(6,*) '## constitutive_parse_materialDat ##'
+ write(6,*)
+
+ constitutive_Nmats = 1
+ open(200,FILE='material.mpie',ACTION='READ',STATUS='OLD',ERR=100)
+ read(200,610,ERR=200,END=200) line
+
+ IF( line(1:1).ne.'[' )THEN
+   WRITE(6,*) 'Problem with mat file: no mat. in 1st line'
+ ELSE
+   WRITE(6,*) 'Reading mat. data'
+   DO WHILE( .true. )
+     READ(200,610,END=220) line
+     IF( line(1:1).eq.'[' )THEN
+  constitutive_Nmats = constitutive_Nmats+1
+     ELSE
+  positions = IO_stringPos(line,2) ! parse 2 parts
+  SELECT CASE (IO_stringValue(line,positions,1))
+  CASE ('s0_slip')
+    s0_slip(mat) = IO_floatValue(line,positions,2)
+  CASE ('g0_slip')
+    g0_slip(mat) = IO_floatValue(line,positions,2)
+  CASE ('n_slip')
+    n_slip(mat) = IO_intValue(line,positions,2)
+  CASE ('h0')
+    h0(mat) = IO_floatValue(line,positions,2)
+  CASE ('w0')
+    w0(mat) = IO_floatValue(line,positions,2)
+  CASE ('tauc_sat')
+    tauc_sat(mat) = IO_floatValue(line,positions,2)
+  CASE ('C11')
+    C11(mat) = IO_floatValue(line,positions,2)
+  CASE ('C12')
+    C12(mat) = IO_floatValue(line,positions,2)
+  CASE ('C44')
+    C44(mat) = IO_floatValue(line,positions,2)
+  CASE ('TCfile')
+    TCfile(mat) = IO_stringValue(line,positions,2)
+  CASE ('ODFfile')
+    ODFfile(mat) = IO_stringValue(line,positions,2)
+  CASE ('Ngrains')
+    Ngrains(mat) = IO_intValue(line,positions,2)
+
+  CASE DEFAULT
+    WRITE(6,*) 'Unknown mat. parameter ',line
+     END IF
+   END DO
+ END IF
+
+  220 continue
+ close(200)
+
+! ** Defintion of stiffness matrices **
+! MISSING: this needs to be iterated over the materials 
+ Cslip_66 = 0.0_pRe
+ do i=1,3
+   do j=1,3
+     Cslip_66(i,j)   = C12
+   enddo
+   Cslip_66(i,i)   = C11
+   Cslip_66(i+3,i+3) = C44
+ enddo
+
+ Cslip_3333(:,:,:,:) = math_66to3333(Cslip_66(:,:))   
+
+! *** Transformation to get the MARC order ***
+! ***    11,22,33,12,23,13      ***
+! MISSING this should be outsourced to FEM-spec
+
+ temp=Cslip_66(4,:)
+ Cslip_66(4,:)=Cslip_66(6,:)    
+ Cslip_66(6,:)=Cslip_66(5,:)    
+ Cslip_66(5,:)=temp
+ temp=Cslip_66(:,4)
+ Cslip_66(:,4)=2.0d0*Cslip_66(:,6)    
+ Cslip_66(:,6)=2.0d0*Cslip_66(:,5)    
+ Cslip_66(:,5)=2.0d0*temp 
+
+
+!    *** Output to MARC output file ***  
+ write(6,*) 'Material data:'
+ write(6,*) 'Slip parameter:(s0_slip,g0_slip,n_slip)'
+ write(6,*) s0_slip,g0_slip,n_slip
+ write(6,*) 'Slip hardening parameter:(h0,tauc_sat,w0)'
+ write(6,*) h0,tauc_sat,w0
+ write(6,*) 'Elasticity matrix:'
+ write(6,*) Cslip_66(1,:)
+ write(6,*) Cslip_66(2,:)
+ write(6,*) Cslip_66(3,:)
+ write(6,*) Cslip_66(4,:)/2.0d0
+ write(6,*) Cslip_66(5,:)/2.0d0
+ write(6,*) Cslip_66(6,:)/2.0d0 
+ write(6,*)
+ call flush(6)
+
+! END OF MISSING mat iterations
+
+ return
+ 100 call _error(110)
+ 200 call _error(210)
+ end
+
+
+ subroutine READ_ORIENTATIONS
+!***********************************************************************
+!*** This routine reads orientations from 'orientations.mpie'    ***
+!***********************************************************************
+ use mpie
+ use Zahlendarstellung, only: ZdRe,ZdIn
+ implicit none
+
+!    *** Definition of variables ***
+ integer(ZdIn) i,j
+
+!    *** Read 'orientations.mpie' file ***
+ open(100,FILE='orientations.mpie',ACTION='READ',STATUS='OLD',
+     &     ERR=100)
+ read(100,*,ERR=200,END=200)
+
+!    *** Read number of states, maximum of components over the states ***
+ read(100,*,ERR=200,END=200) mpie_nmat,mpie_norimx
+!    *** Allocate memory for the arrays ***
+ allocate(mpie_mat(mpie_nmat,2+7*mpie_norimx))
+ allocate(mpie_cko(mpie_nmat,4:35,3,0:35,2))
+ allocate(mpie_ckofile(mpie_nmat,80))
+ allocate(mpie_odfmax(mpie_nmat))
+ mpie_mat=0.0_ZdRe
+ mpie_cko=0.0_ZdRe
+ mpie_ckofile=''
+ mpie_odfmax=0.0_ZdRe
+
+!    *** Read the different states ***
+ do i=1,mpie_nmat
+    read(100,*,ERR=200,END=200)
+!    *** Number of component and symmetry ***
+    read(100,*,ERR=200,END=200) mpie_mat(i,1),mpie_mat(i,2)
+!    *** If symmetry = 2, use direct ODF sampling,i.e. read coefficience ***
+    if (mpie_mat(i,2)==2_ZdIn) then
+  read(100,'(80A)',ERR=200,END=201) mpie_ckofile(i,:)
+ 201  call mpie_read_ckofile(mpie_cko(i,:,:,:,:),
+     &         mpie_ckofile(i,:))
+  call mpie_odf_max(mpie_cko(i,:,:,:,:),mpie_odfmax(i))
+!    *** Set volume fraction to inverse of orientation number for each orientation ***
+  do j=1,int(mpie_mat(i,1),ZdIn)
+     mpie_mat(i,2+7*j)=1/mpie_mat(i,1)
+  enddo
+    else
+!    *** Read for every component:          ***
+!    *** gauss: euler angles (phi1, PHI, phi2), dummy, scatter, volume fraction ***
+!    *** fiber: alpha1, alpha2, beta1, beta2, scatter, volume fraction    ***
+  do j=1,int(mpie_mat(i,1),ZdIn)
+     read(100,*,ERR=200,END=200) mpie_mat(i,7*j-4),
+     &    mpie_mat(i,7*j-3),mpie_mat(i,7*j-2),
+     &    mpie_mat(i,7*j-1),mpie_mat(i,7*j),
+     &    mpie_mat(i,7*j+1),mpie_mat(i,7*j+2)
+  enddo
+     endif
+ enddo
+ close(100)
+
+!    *** Output to MARC output file ***
+ write(6,*) 'MPIE Material Routine Ver. 0.1 by L. Hantcherli'
+ write(6,*)
+ write(6,*) 'Orientations data:'
+ write(6,*) 'Number of materials:  ', mpie_nmat
+ write(6,*) 'Maximum number of components: ', mpie_norimx
+ write(6,*)
+ do i=1,mpie_nmat
+    write(6,*) 'State', i
+    if (mpie_mat(i,2)==2_ZdIn) then
+  write(6,*) mpie_ckofile(i,:),mpie_mat(i,9),mpie_odfmax(i)
+    else
+  write(6,*) mpie_mat(i,:)
+    endif
+    write(6,*)
+ enddo
+ call flush(6)
+ return
+ 100 call _error(100)
+ 200 call _error(200)
+ end
+
+
+
+ subroutine slip_rate (tau_slip,tauc_slip_new,gdot_slip,
+     &       dgdot_dtaucslip)
+C ********************************************************************
+C Subroutine contains the constitutive equation for the slip
+C    rate on each slip system
+C Input: tau_slip      : shear stress on each slip system 
+C   tauc_slip_new   : critical shear stress on each slip system
+C Output: gdot_slip      : slip rate on each slip system
+C    dgdot_dtaucslip: derivative of slip rate on each slip system
+C ********************************************************************
+ use mpie
+ use Zahlendarstellung
+ implicit none
+
+ real(ZdRe) tau_slip(nslip),tauc_slip_new(nslip),
+     &      gdot_slip(nslip),dgdot_dtaucslip(nslip)
+ integer(ZdIn) i
+ 
+ do i=1,nslip
+   gdot_slip(i)=g0_slip*(abs(tau_slip(i))/tauc_slip_new(i))
+     &    **n_slip*sign(1.0_ZdRe,tau_slip(i))
+   dgdot_dtaucslip(i)=g0_slip*(abs(tau_slip(i))/tauc_slip_new(i))
+     &     **(n_slip-1) *n_slip/tauc_slip_new(i)
+ enddo
+
+ return
+ end
+
+ subroutine hardening (tauc_slip_new,gdot_slip,dtauc_slip)
+C *********************************************************************
+C Subroutine calculates the increment in critical shear stress due 
+C   to plastic deformation on each slip system
+C Input: tauc_slip_new :critical shear stress needed for slip on each 
+C        slip system
+C   gdot_slip    :slip rate on each slip system
+C Output: dtauc_slip   :increment of hardening due to slip on each 
+C        slip system
+C Local : selfhr
+C *********************************************************************
+ use mpie
+ use Zahlendarstellung
+ implicit none
+
+ real(ZdRe) tauc_slip_new(nslip),gdot_slip(nslip),
+     &      dtauc_slip(nslip)
+ real(ZdRe) selfhr(nslip)
+ integer(ZdIn) i
+
+ do i=1,nslip
+   selfhr(i)=h0*(1.0_ZdRe-tauc_slip_new(i)/
+     &  tauc_sat)**w0
+     &  *abs(gdot_slip(i))
+ enddo
+ dtauc_slip=matmul(hardening_matrix,selfhr)
+
+ return
+ end
+
+
+ subroutine plastic_vel_grad(dt,tau_slip,tauc_slip_new,Lp)
+C *************************************************************
+C Subroutine calculates the plastic velocity gradient given the
+C   slip rates
+C Input: dt     : time step
+C   tau_slip    : shear stress on each slip system on each 
+C         slip system
+C   tauc_slip_new : critical shear stress needed for slip on each 
+C         slip system
+C Output: Lp     : plastic velocity gradient
+C    gdot_slip    : slip rate on each slip system
+C *************************************************************
+ use mpie
+ use Zahlendarstellung
+ implicit none
+
+ real(ZdRe) dt,tau_slip(nslip),tauc_slip_new(nslip),
+     &      Lp(3,3),gdot_slip(nslip)
+ integer(ZdIn) i
+
+ Lp=0
+ do i=1,nslip
+   gdot_slip(i)=g0_slip*(abs(tau_slip(i))/tauc_slip_new(i))
+     &     **n_slip*sign(1.0_ZdRe,tau_slip(i))
+   Lp=Lp+gdot_slip(i)*Sslip(i,:,:)
+ enddo
+
+ return
+ end
+
+
+ function CPFEM_Cauchy(Estar_v,Fe,C66)
+C ***************************************************************
+C Subroutine calculates the cauchy from the elastic strain tensor
+C Input: Estar_v : elastic strain tensor (in vector form)
+C   Fe    : elastic deformation gradient
+C   C66    : Stiffness Tensor
+C Output: cs    : cauchy stress
+C Local: Tstar_v,Tstar,mm,det
+C ***************************************************************
+ use math
+ use prec
+ implicit none
+
+ real(pRe) Estar_v(6),Fe(3,3),C66(6,6),CPFEM_Cauchy(6)
+ real(pRe) det,mm(3,3),Tstar(3,3)
+ integer(pIn) i
+
+ det = math_det(Fe)
+ Tstar = math_6to33(matmul(C66,Estar_v))
+ mm=matmul(matmul(Fe,Tstar),transpose(Fe))/det
+ CPFEM_Cauchy = math_33to6(mm)
+
+ return
+ end function
+ 
+ end module
diff --git a/math.f90 b/math.f90
new file mode 100644
index 000000000..9c592e1bb
--- /dev/null
+++ b/math.f90
@@ -0,0 +1,1460 @@
+
+!    ---------------------------
+ MODULE math     
+!    ---------------------------
+!    *** Math helpers ***
+ use precision, only: pReal,pInt
+ implicit none
+
+ real(pReal), parameter I3(3,3) = math_identity(3)
+ real(pReal), parameter pi = (2.0_pReal)*dasin(1.0_pReal)
+ real(pReal), parameter inDeg = 180.0_pReal/pi
+ real(pReal), parameter inRad = pi/180.0_pReal
+
+ contains
+
+!    ***  Initialize random number generator     ***
+!    *** for later use in mpie_fiber and mpie_disturbOri ***
+
+ subroutine math_init ()
+
+ use prec, only: pReal,pInt
+ implicit none
+
+ integer (pInt) seed
+ 
+ call random_seed()
+ call get_seed (seed)
+ call halton_seed_set(seed)
+ call halton_ndim_set(3)
+ end
+ 
+ 
+c********************************************************************
+c This routine calculates the determinant of a
+c********************************************************************
+ function math_det(a)
+
+ use prec, only: pReal,pInt
+ implicit none
+c
+ real(pReal) a(3,3), math_det, v1, v2, v3
+c
+ v1 = a(1,1)*(a(2,2)*a(3,3)-a(2,3)*a(3,2))
+ v2 = a(1,2)*(a(2,1)*a(3,3)-a(2,3)*a(3,1))
+ v3 = a(1,3)*(a(2,1)*a(3,2)-a(2,2)*a(3,1))
+ math_det = v1-v2+v3
+ return
+ end function
+
+c********************************************************************
+c This routine coverts a symmetric 3,3 matrix into an array of 6
+c********************************************************************
+ function math_33to6(m33)
+
+ use prec, only: pReal,pInt
+ implicit none
+c
+ real(pReal) m33(3,3), math_33to6(6)
+c
+ math_33to6(1)=m33(1,1)
+ math_33to6(2)=m33(2,2)
+ math_33to6(3)=m33(3,3)
+ math_33to6(4)=m33(1,2)
+ math_33to6(5)=m33(2,3)
+ math_33to6(6)=m33(1,3)
+ return
+ end function
+c
+c
+c********************************************************************
+c This routine coverts an array of 6 into a symmetric 3,3 matrix
+c********************************************************************
+ function math_6to33(v6)
+
+ use prec, only: pReal,pInt
+ implicit none
+c
+ real(pReal) math_6to33(3,3), v6(6)
+c
+ math_6to33(1,1)=v6(1)
+ math_6to33(2,2)=v6(2)
+ math_6to33(3,3)=v6(3)
+ math_6to33(1,2)=v6(4)
+ math_6to33(2,1)=v6(4)
+ math_6to33(2,3)=v6(5)
+ math_6to33(3,2)=v6(5)
+ math_6to33(1,3)=v6(6)
+ math_6to33(3,1)=v6(6)
+ return
+ end function
+
+ 
+!********************************************************************************
+!**      This routine transforms the stiffness matrix    **
+!********************************************************************************
+ function math_66to3333(C66)
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+
+ real(pReal) C66(6,6), math_66to3333(3,3,3,3)
+
+ math_66to3333(1,1,1,1)=C66(1,1)
+ math_66to3333(1,1,2,2)=C66(1,2)
+ math_66to3333(1,1,3,3)=C66(1,3) 
+ math_66to3333(1,1,2,3)=C66(1,4)
+ math_66to3333(1,1,3,2)=C66(1,4)
+ math_66to3333(1,1,1,3)=C66(1,5) 
+ math_66to3333(1,1,3,1)=C66(1,5)
+ math_66to3333(1,1,1,2)=C66(1,6)
+ math_66to3333(1,1,2,1)=C66(1,6) 
+ math_66to3333(2,2,1,1)=C66(2,1)
+ math_66to3333(2,2,2,2)=C66(2,2)
+ math_66to3333(2,2,3,3)=C66(2,3) 
+ math_66to3333(2,2,2,3)=C66(2,4)
+ math_66to3333(2,2,3,2)=C66(2,4)
+ math_66to3333(2,2,1,3)=C66(2,5) 
+ math_66to3333(2,2,3,1)=C66(2,5)
+ math_66to3333(2,2,1,2)=C66(2,6)
+ math_66to3333(2,2,2,1)=C66(2,6) 
+ math_66to3333(3,3,1,1)=C66(3,1)
+ math_66to3333(3,3,2,2)=C66(3,2)
+ math_66to3333(3,3,3,3)=C66(3,3) 
+ math_66to3333(3,3,2,3)=C66(3,4)
+ math_66to3333(3,3,3,2)=C66(3,4)
+ math_66to3333(3,3,1,3)=C66(3,5) 
+ math_66to3333(3,3,3,1)=C66(3,5)
+ math_66to3333(3,3,1,2)=C66(3,6)
+ math_66to3333(3,3,2,1)=C66(3,6) 
+ math_66to3333(2,3,1,1)=C66(4,1)
+ math_66to3333(3,2,1,1)=C66(4,1)
+ math_66to3333(2,3,2,2)=C66(4,2) 
+ math_66to3333(3,2,2,2)=C66(4,2)
+ math_66to3333(2,3,3,3)=C66(4,3)
+ math_66to3333(3,2,3,3)=C66(4,3)
+ math_66to3333(2,3,2,3)=C66(4,4)
+ math_66to3333(2,3,3,2)=C66(4,4)
+ math_66to3333(3,2,2,3)=C66(4,4) 
+ math_66to3333(3,2,3,2)=C66(4,4)
+ math_66to3333(2,3,3,1)=C66(4,5)
+ math_66to3333(2,3,1,3)=C66(4,5)
+ math_66to3333(2,3,3,1)=C66(4,5)
+ math_66to3333(3,2,1,3)=C66(4,5)
+ math_66to3333(2,3,1,2)=C66(4,6) 
+ math_66to3333(2,3,2,1)=C66(4,6)
+ math_66to3333(3,2,1,2)=C66(4,6)
+ math_66to3333(3,2,2,1)=C66(4,6) 
+ math_66to3333(3,1,1,1)=C66(5,1)
+ math_66to3333(1,3,1,1)=C66(5,1)
+ math_66to3333(3,1,2,2)=C66(5,2) 
+ math_66to3333(1,3,2,2)=C66(5,2)
+ math_66to3333(3,1,3,3)=C66(5,3)
+ math_66to3333(1,3,3,3)=C66(5,3)
+ math_66to3333(3,1,2,3)=C66(5,4)
+ math_66to3333(3,1,3,2)=C66(5,4)
+ math_66to3333(1,3,2,3)=C66(5,4) 
+ math_66to3333(1,3,3,2)=C66(5,4)
+ math_66to3333(3,1,3,1)=C66(5,5)
+ math_66to3333(3,1,1,3)=C66(5,5) 
+ math_66to3333(1,3,3,1)=C66(5,5)
+ math_66to3333(1,3,1,3)=C66(5,5)
+ math_66to3333(3,1,1,2)=C66(5,6)
+ math_66to3333(3,1,2,1)=C66(5,6)
+ math_66to3333(1,3,1,2)=C66(5,6)
+ math_66to3333(1,3,2,1)=C66(5,6)
+ math_66to3333(1,2,1,1)=C66(6,1)
+ math_66to3333(2,1,1,1)=C66(6,1)
+ math_66to3333(1,2,2,2)=C66(6,2) 
+ math_66to3333(2,1,2,2)=C66(6,2)
+ math_66to3333(1,2,3,3)=C66(6,3)
+ math_66to3333(2,1,3,3)=C66(6,3) 
+ math_66to3333(1,2,2,3)=C66(6,4)
+ math_66to3333(1,2,3,2)=C66(6,4)
+ math_66to3333(2,1,2,3)=C66(6,4)
+ math_66to3333(2,1,3,2)=C66(6,4)
+ math_66to3333(1,2,3,1)=C66(6,5)
+ math_66to3333(1,2,1,3)=C66(6,5) 
+ math_66to3333(2,1,3,1)=C66(6,5)
+ math_66to3333(2,1,1,3)=C66(6,5)
+ math_66to3333(1,2,1,2)=C66(6,6)  
+ math_66to3333(1,2,2,1)=C66(6,6)
+ math_66to3333(2,1,1,2)=C66(6,6)
+ math_66to3333(2,1,2,1)=C66(6,6)    
+ return
+ end function
+ 
+     
+ function math_3333to66(C3333)
+!********************************************************************************
+!**      This routine transforms the stiffness matrix    **
+!********************************************************************************
+ use prec, ONLY: pReal, pInt
+ implicit none
+
+ real(pReal) math_3333to66(6,6), C3333(3,3,3,3)
+
+ math_3333to66(1,1)=C3333(1,1,1,1)
+ math_3333to66(1,2)=C3333(1,1,2,2)
+ math_3333to66(1,3)=C3333(1,1,3,3)
+ math_3333to66(1,4)=C3333(1,1,2,3)
+ math_3333to66(1,5)=C3333(1,1,3,1)
+ math_3333to66(1,6)=C3333(1,1,1,2)
+ math_3333to66(2,1)=C3333(2,2,1,1)
+ math_3333to66(2,2)=C3333(2,2,2,2)
+ math_3333to66(2,3)=C3333(2,2,3,3)
+ math_3333to66(2,4)=C3333(2,2,2,3)
+ math_3333to66(2,5)=C3333(2,2,3,1)
+ math_3333to66(2,6)=C3333(2,2,1,2)
+ math_3333to66(3,1)=C3333(3,3,1,1)
+ math_3333to66(3,2)=C3333(3,3,2,2)
+ math_3333to66(3,3)=C3333(3,3,3,3)
+ math_3333to66(3,4)=C3333(3,3,2,3)
+ math_3333to66(3,5)=C3333(3,3,3,1)
+ math_3333to66(3,6)=C3333(3,3,1,2)
+ math_3333to66(4,1)=C3333(2,3,1,1)
+ math_3333to66(4,2)=C3333(2,3,2,2)
+ math_3333to66(4,3)=C3333(2,3,3,3)
+ math_3333to66(4,4)=C3333(2,3,2,3)
+ math_3333to66(4,5)=C3333(2,3,3,1)
+ math_3333to66(4,6)=C3333(2,3,1,2)
+ math_3333to66(5,1)=C3333(3,1,1,1)
+ math_3333to66(5,2)=C3333(3,1,2,2)
+ math_3333to66(5,3)=C3333(3,1,3,3)
+ math_3333to66(5,4)=C3333(3,1,2,3)
+ math_3333to66(5,5)=C3333(3,1,3,1)
+ math_3333to66(5,6)=C3333(3,1,1,2)  
+ math_3333to66(6,1)=C3333(1,2,1,1)
+ math_3333to66(6,2)=C3333(1,2,2,2)
+ math_3333to66(6,3)=C3333(1,2,3,3) 
+ math_3333to66(6,4)=C3333(1,2,2,3)
+ math_3333to66(6,5)=C3333(1,2,3,1)
+ math_3333to66(6,6)=C3333(1,2,1,2) 
+ return
+ end function
+
+c********************************************************************
+c This routine calculates Euler angles from orientation matrix
+c********************************************************************
+ subroutine math_RtoEuler(orimat, phi1, PHI, phi2)
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) orimat(3,3), phi1, PHI, phi2
+ real(pReal) sqhkl, squvw, sqhk, val
+c
+ sqhkl=sqrt(orimat(1,3)*orimat(1,3)+orimat(2,3)*orimat(2,3)+
+     1   orimat(3,3)*orimat(3,3))
+ squvw=sqrt(orimat(1,1)*orimat(1,1)+orimat(2,1)*orimat(2,1)+
+     1   orimat(3,1)*orimat(3,1))
+ sqhk=sqrt(orimat(1,3)*orimat(1,3)+orimat(2,3)*orimat(2,3))
+c calculate PHI
+ val=orimat(3,3)/sqhkl
+ 
+ if(val.GT.1.0_ZdRe) val=1.0_pReal
+ if(val.LT.-1.0_ZdRe) val=-1.0_pReal
+     
+ PHI=acos(val)
+c
+ if(PHI.LT.1.0e-30_pReal) then
+c calculate phi2
+     phi2=0.0
+c calculate phi1
+     val=orimat(1,1)/squvw
+ 
+     if(val.GT.1.0_pReal) val=1.0_pReal
+     if(val.LT.-1.0_pReal) val=-1.0_pReal
+     
+     if(orimat(2,1).LE.0.0) then
+    phi1=acos(val)
+     else
+    phi1=2.0_pReal*pi-acos(val)
+     end if
+ else
+c calculate phi2
+     val=orimat(2,3)/sqhk
+ 
+     if(val.GT.1.0_pReal) val=1.0_pReal
+     if(val.LT.-1.0_pReal) val=-1.0_pReal
+     
+     if(orimat(1,3).GE.0.0) then
+    phi2=acos(val)
+     else
+    phi2=2.0_pReal*pi-acos(val)
+     end if
+c calculate phi1
+     val=-orimat(3,2)/sin(PHI)
+ 
+     if(val.GT.1.0_pReal) val=1.0_pReal
+     if(val.LT.-1.0_pReal) val=-1.0_pReal
+     
+     if(orimat(3,1).GE.0.0) then
+    phi1=acos(val)
+     else
+    phi1=2.0_pReal*pi-acos(val)
+     end if
+ end if
+c convert angles to degrees
+ phi1=phi1*inDeg
+ PHI=PHI*inDeg
+ phi2=phi2*inDeg
+ end
+c
+c
+c #####################################################
+C bestimmt Drehmatrix DREH3 fuer Drehung um Omega um Achse (u,v,w)
+ function math_RodrigtoR(Omega,U,V,W)
+C
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) omega, u, v, w, math_RodrigtoR(3,3)
+ real(pReal) betrag, s, c, u2, v2, w2
+c
+ BETRAG=SQRT(U**2+V**2+W**2)
+ S=SIN(OMEGA)
+ C=COS(OMEGA)
+ U2=U/BETRAG
+ V2=V/BETRAG
+ W2=W/BETRAG
+ math_RodrigtoR(1,1)=(1-U2**2)*C+U2**2
+ math_RodrigtoR(1,2)=U2*V2*(1-C)+W2*S
+ math_RodrigtoR(1,3)=U2*W2*(1-C)-V2*S
+ math_RodrigtoR(2,1)=U2*V2*(1-C)-W2*S
+ math_RodrigtoR(2,2)=(1-V2**2)*C+V2**2
+ math_RodrigtoR(2,3)=V2*W2*(1-C)+U2*S
+ math_RodrigtoR(3,1)=U2*W2*(1-C)+V2*S
+ math_RodrigtoR(3,2)=V2*W2*(1-C)-U2*S
+ math_RodrigtoR(3,3)=(1-W2**2)*C+W2**2
+ return
+ end function
+
+
+C
+C Best. Drehmatrix ROTA fuer Euler-Winkel  
+C
+ function math_EulertoR (P1,P,P2)
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) p1, p, p2, math_EulertoR(3,3)
+ real(pReal)  xp1, xp, xp2, c1, c, c2, s1, s, s2
+C
+ XP1=P1*g2r
+ XP=P*g2r
+ XP2=P2*g2r
+ C1=COS(XP1)
+ C=COS(XP)
+ C2=COS(XP2)
+ S1=SIN(XP1)
+ S=SIN(XP)
+ S2=SIN(XP2)
+ math_EulertoR(1,1)=C1*C2-S1*S2*C
+ math_EulertoR(1,2)=S1*C2+C1*S2*C
+ math_EulertoR(1,3)=S2*S
+ math_EulertoR(2,1)=-C1*S2-S1*C2*C
+ math_EulertoR(2,2)=-S1*S2+C1*C2*C
+ math_EulertoR(2,3)=C2*S
+ math_EulertoR(3,1)=S1*S
+ math_EulertoR(3,2)=-C1*S
+ math_EulertoR(3,3)=C
+ return
+ end function
+
+
+C **************************************************************************
+C subroutine ZUR BERECHNUNG VON ORIENTIERUNGSBEZIEHUNGEN ZWISCHEN
+C ZWEI VORGEGEBENEN ORIENTIERUNGEN
+C
+ function math_disorient(P1,P,P2)
+C
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) D1(3,3),D2(3,3),P1(2),P(2),P2(2),D1T(3,3),DR(3,3)
+ real(pReal) math_disorient, spur, sp, omega, alpha
+ integer(pInt) i
+C
+C ERSTELLEN DER BEIDEN DMATRIZEN
+C
+ d1 = math_EulertoR(p1(1),P(1),p2(1))
+ d2 = math_EulertoR(p1(2),P(2),p2(2))
+C ****************************************************
+C BESTIMMUNG DER INVERSEN MATRIX ZUR ORIENTIERUNG 1:DM
+C ****************************************************
+ d1T=transpose(d1)
+C ***********************************************************
+C MATRIZENMULTIPLIKATION DER MATRIZEN D2 UND DM=DR(I,J)
+C ***********************************************************
+ dr=matmul(d2,d1T)
+C *******************************
+C BESTIMMUNG DES ROTATIONSWINKELS
+C *******************************
+ SPUR=0._pReal
+ DO I=1,3
+     SPUR=SPUR+DR(I,I)
+ enddo
+ SP=(SPUR-1._pReal)*0.4999999_pReal
+ OMEGA=PI*0.5_pReal-ASIN(SP)
+c Winkel in Grad umrechnen
+ ALPHA=OMEGA*inDeg
+ math_disorient=abs(alpha)
+ return
+ end function
+c
+c
+C****************************************************************
+ subroutine math_pDecomposition(FE,U,R,ISING)
+C-----FE=RU 
+C-----INVERT is the subroutine applied by Marc
+C****************************************************************
+ use prec, ONLY: pReal, pInt
+ implicit none
+
+ integer(pInt)  ISING
+ real(pReal) FE(3,3),R(3,3),U(3,3),CE(3,3),EW1,EW2,EW3,
+     &      EB1(3,3),EB2(3,3),EB3(3,3),UI(3,3), det
+ ising=0
+ ce=matmul(transpose(fe),fe)
+ CALL math_spectral1(CE,EW1,EW2,EW3,EB1,EB2,EB3)
+ U=DSQRT(EW1)*EB1+DSQRT(EW2)*EB2+DSQRT(EW3)*EB3
+ UI=U
+ call invert(UI,3,0,0,det,3)
+ if (det.EQ.0) then
+     ising=1
+     return
+ endif
+ R=matmul(fe,ui)
+ return 
+ end
+c
+c
+C**********************************************************************
+ subroutine math_spectral1(M,EW1,EW2,EW3,EB1,EB2,EB3)
+C**** EIGENWERTE UND EIGENWERTBASIS DER SYMMETRISCHEN 3X3 MATRIX M
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+
+ real(pReal) M(3,3),EB1(3,3),EB2(3,3),EB3(3,3),EW1,EW2,EW3,
+     &  HI1M,HI2M,HI3M,TOL,R,S,T,P,Q,RHO,PHI,Y1,Y2,Y3,D1,D2,D3,
+     &  C1,C2,C3,M1(3,3),M2(3,3),M3(3,3), arg
+ TOL=1.e-14_pReal
+ CALL math_hi(M,HI1M,HI2M,HI3M)
+ R=-HI1M
+ S= HI2M
+ T=-HI3M
+ P=S-R**2.0_pReal/3.0_pReal
+ Q=2.0_pReal/27.0_pReal*R**3.0_pReal-R*S/3.0_pReal+T
+ EB1=0.0_pReal
+ EB2=0.0_pReal
+ EB3=0.0_pReal
+ IF((ABS(P).LT.TOL).AND.(ABS(Q).LT.TOL))THEN
+C   DREI GLEICHE EIGENWERTE
+   EW1=HI1M/3.0_pReal
+   EW2=EW1
+   EW3=EW1
+c   this is not really correct, but this way U is calculated
+c   correctly in PDECOMPOSITION (correct is EB?=I)
+   EB1(1,1)=1.0_pReal
+   EB2(2,2)=1.0_pReal
+   EB3(3,3)=1.0_pReal
+ ELSE
+   RHO=SQRT(-3.0_pReal*P**3.0_pReal)/9.0_pReal
+   arg=-Q/RHO/2.0_pReal
+   if(arg.GT.1) arg=1
+   if(arg.LT.-1) arg=-1
+   PHI=ACOS(arg)
+   Y1=2*RHO**(1.0_pReal/3.0_pReal)*COS(PHI/3.0_pReal)
+   Y2=2*RHO**(1.0_pReal/3.0_pReal)*
+     1   COS(PHI/3.0_pReal+2.0_pReal/3.0_pReal*PI)
+   Y3=2*RHO**(1.0_pReal/3.0_pReal)*
+     1   COS(PHI/3.0_pReal+4.0_pReal/3.0_pReal*PI)
+   EW1=Y1-R/3.0_pReal
+   EW2=Y2-R/3.0_pReal
+   EW3=Y3-R/3.0_pReal
+   C1=ABS(EW1-EW2)
+   C2=ABS(EW2-EW3) 
+   C3=ABS(EW3-EW1)
+
+   IF(C1.LT.TOL) THEN
+C  EW1 is equal to EW2
+  D3=1.0_pReal/(EW3-EW1)/(EW3-EW2)
+  M1=M-EW1*I3
+  M2=M-EW2*I3
+  EB3=MATMUL(M1,M2)*D3
+  EB1=I3-EB3
+c  both EB2 and EW2 are set to zero so that they do not
+c  contribute to U in PDECOMPOSITION
+  EW2=0.0_pReal
+   ELSE IF(C2.LT.TOL) THEN
+C  EW2 is equal to EW3
+  D1=1.0_pReal/(EW1-EW2)/(EW1-EW3)
+  M2=M-EW2*I3
+  M3=M-EW3*I3
+  EB1=MATMUL(M2,M3)*D1
+  EB2=I3-EB1
+c  both EB3 and EW3 are set to zero so that they do not
+c  contribute to U in PDECOMPOSITION
+  EW3=0.0_pReal
+   ELSE IF(C3.LT.TOL) THEN
+C  EW1 is equal to EW3
+  D2=1.0_pReal/(EW2-EW1)/(EW2-EW3) 
+  M1=M-EW1*I3
+  M3=M-EW3*I3
+  EB2=MATMUL(M1,M3)*D2
+  EB1=I3-EB2
+c  both EB3 and EW3 are set to zero so that they do not
+c  contribute to U in PDECOMPOSITION
+  EW3=0.0_pReal
+   ELSE
+c  all three eigenvectors are different
+  D1=1.0_pReal/(EW1-EW2)/(EW1-EW3)
+  D2=1.0_pReal/(EW2-EW1)/(EW2-EW3) 
+  D3=1.0_pReal/(EW3-EW1)/(EW3-EW2)
+  M1=M-EW1*I3
+  M2=M-EW2*I3
+  M3=M-EW3*I3
+  EB1=MATMUL(M2,M3)*D1
+  EB2=MATMUL(M1,M3)*D2
+  EB3=MATMUL(M1,M2)*D3
+   END IF
+ END IF
+ RETURN
+ END
+c
+c
+C**********************************************************************
+C**** EINHEITSMATRIX MIT dim DIAGONALELEMENTEN 
+
+ function math_identity(dim)  
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ integer(pInt)  i,dim
+ real(pReal) math_identity(dim,dim)
+
+ math_identity = 0.0_pReal 
+ do i=1,dim
+    math_identity(i,i) = 1.0_pReal 
+ end do
+ return
+
+ end function
+c
+c
+C********************************************************************** 
+C**** HAUPTINVARIANTEN HI1M, HI2M, HI3M DER 3X3 MATRIX M
+
+ subroutine math_hi(M,HI1M,HI2M,HI3M)
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) M(3,3),HI1M,HI2M,HI3M 
+c
+ HI1M = M(1,1)+M(2,2)+M(3,3)
+ HI2M = (M(1,1)+M(2,2)+M(3,3))**2/2.0_pReal-M(1,1)**2/2.0_pReal-
+     1   M(1,2)*M(2,1)-M(1,3)*M(3,1)-M(2,2)**2/2.0_pReal-M(2,3)*
+     2   M(3,2)-M(3,3)**2/2.0_pReal
+ HI3M = M(1,1)*M(2,2)*M(3,3)-M(1,1)*M(2,3)*M(3,2)-M(2,1)*M(1,2)*M(3
+     &,3)+M(2,1)*M(1,3)*M(3,2)+M(3,1)*M(1,2)*M(2,3)-M(3,1)*M(1,3)*M(2,2)
+ return  
+ end
+c
+
+ subroutine get_seed ( seed )
+c  !
+c  !*******************************************************************************
+c  !
+c  !! GET_SEED returns a seed for the random number generator.
+c  !
+c  !
+c  !  Discussion:
+c  !
+c  ! The seed depends on the current time, and ought to be (slightly)
+c  ! different every millisecond. Once the seed is obtained, a random
+c  ! number generator should be called a few times to further process
+c  ! the seed.
+c  !
+c  !  Modified:
+c  !
+c  ! 27 June 2000
+c  !
+c  !  Author:
+c  !
+c  ! John Burkardt
+c  !
+c  !  Parameters:
+c  !
+c  ! Output, integer SEED, a pseudorandom seed value.
+c  !
+c  !  Modified:
+c  !
+c  ! 29 April 2005
+c  !
+c  !  Author:
+c  !
+c  ! Franz Roters
+c  !
+ use prec, ONLY: pReal, pInt
+ implicit none
+c  !
+ integer(pInt) seed
+ real(pReal)  temp
+ character ( len = 10 ) time
+ character ( len = 8 ) today
+ integer(pInt) values(8)
+ character ( len = 5 ) zone
+c  !
+ call date_and_time ( today, time, zone, values )
+
+ temp = 0.0D+00
+
+ temp = temp + dble ( values(2) - 1 ) / 11.0D+00
+ temp = temp + dble ( values(3) - 1 ) / 30.0D+00
+ temp = temp + dble ( values(5) ) / 23.0D+00
+ temp = temp + dble ( values(6) ) / 59.0D+00
+ temp = temp + dble ( values(7) ) / 59.0D+00
+ temp = temp + dble ( values(8) ) / 999.0D+00
+ temp = temp / 6.0D+00
+
+ if ( temp <= 0.0D+00 ) then
+   temp = 1.0D+00 / 3.0D+00
+ else if ( 1.0D+00 <= temp ) then
+   temp = 2.0D+00 / 3.0D+00
+ end if
+
+ seed = int ( dble ( huge ( 1 ) ) * temp , pInt)
+c  !
+c  !  Never use a seed of 0 or maximum integer.
+c  !
+ if ( seed == 0 ) then
+   seed = 1
+ end if
+
+ if ( seed == huge ( 1 ) ) then
+   seed = seed - 1
+ end if
+
+ return
+ end
+c  !
+ subroutine halton ( ndim, r )
+c  !
+c  !*******************************************************************************
+c  !
+c  !! HALTON computes the next element in the Halton sequence.
+c  !
+c  !
+c  !  Modified:
+c  !
+c  ! 09 March 2003
+c  !
+c  !  Author:
+c  !
+c  ! John Burkardt
+c  !
+c  !  Parameters:
+c  !
+c  ! Input, integer NDIM, the dimension of the element.
+c  !
+c  ! Output, real R(NDIM), the next element of the current Halton
+c  ! sequence.
+c  !
+c  !  Modified:
+c  !
+c  ! 29 April 2005
+c  !
+c  !  Author:
+c  !
+c  ! Franz Roters
+c  !
+ use prec, ONLY: pReal, pInt
+ implicit none
+c  !
+ integer(pInt) ndim
+c  !
+ integer(pInt) base(ndim)
+ real(pReal) r(ndim)
+ integer(pInt) seed
+ integer(pInt) value(1)
+c  !
+ call halton_memory ( 'GET', 'SEED', 1, value )
+ seed = value(1)
+
+ call halton_memory ( 'GET', 'BASE', ndim, base )
+
+ call i_to_halton ( seed, base, ndim, r )
+
+ value(1) = 1
+ call halton_memory ( 'INC', 'SEED', 1, value )
+
+ return
+ end
+c  !
+ subroutine halton_memory ( action, name, ndim, value )
+c  !
+c  !*******************************************************************************
+c  !
+c  !! HALTON_MEMORY sets or returns quantities associated with the Halton sequence.
+c  !
+c  !
+c  !  Modified:
+c  !
+c  ! 09 March 2003
+c  !
+c  !  Author:
+c  !
+c  ! John Burkardt
+c  !
+c  !  Parameters:
+c  !
+c  ! Input, character ( len = * ) ACTION, the desired action.
+c  ! 'GET' means get the value of a particular quantity.
+c  ! 'SET' means set the value of a particular quantity.
+c  ! 'INC' means increment the value of a particular quantity.
+c  !  (Only the SEED can be incremented.)
+c  !
+c  ! Input, character ( len = * ) NAME, the name of the quantity.
+c  ! 'BASE' means the Halton base or bases.
+c  ! 'NDIM' means the spatial dimension.
+c  ! 'SEED' means the current Halton seed.
+c  !
+c  ! Input/output, integer NDIM, the dimension of the quantity.
+c  ! If ACTION is 'SET' and NAME is 'BASE', then NDIM is input, and
+c  ! is the number of entries in VALUE to be put into BASE.
+c  !
+c  ! Input/output, integer VALUE(NDIM), contains a value.
+c  ! If ACTION is 'SET', then on input, VALUE contains values to be assigned
+c  ! to the internal variable.
+c  ! If ACTION is 'GET', then on output, VALUE contains the values of
+c  ! the specified internal variable.
+c  ! If ACTION is 'INC', then on input, VALUE contains the increment to
+c  ! be added to the specified internal variable.
+c  !
+c  !  Modified:
+c  !
+c  ! 29 April 2005
+c  !
+c  !  Author:
+c  !
+c  ! Franz Roters
+c  !
+ use prec, ONLY: pReal, pInt
+ implicit none
+c  !
+ character ( len = * ) action
+ integer(pInt), allocatable, save :: base(:)
+ logical, save :: first_call = .true.
+ integer(pInt) i
+ character ( len = * ) name
+ integer(pInt) ndim
+ integer(pInt), save :: ndim_save = 0
+ integer(pInt) prime
+ integer(pInt), save :: seed = 1
+ integer(pInt) value(*)
+c  !
+ if ( first_call ) then
+   ndim_save = 1
+   allocate ( base(ndim_save) )
+   base(1) = 2
+   first_call = .false.
+ end if
+c  !
+c  !  Set
+c  !
+ if ( action(1:1) == 'S' .or. action(1:1) == 's' ) then
+
+   if ( name(1:1) == 'B' .or. name(1:1) == 'b' ) then
+
+     if ( ndim_save /= ndim ) then
+  deallocate ( base )
+  ndim_save = ndim
+  allocate ( base(ndim_save) )
+     end if
+
+     base(1:ndim) = value(1:ndim)
+
+   else if ( name(1:1) == 'N' .or. name(1:1) == 'n' ) then
+
+     if ( ndim_save /= value(1) ) then
+  deallocate ( base )
+  ndim_save = value(1)
+  allocate ( base(ndim_save) )
+  do i = 1, ndim_save
+    base(i) = prime ( i )
+  end do
+     else
+  ndim_save = value(1)
+     end if
+
+   else if ( name(1:1) == 'S' .or. name(1:1) == 's' ) then
+
+     seed = value(1)
+
+ end if
+c  !
+c  !  Get
+c  !
+ else if ( action(1:1) == 'G' .or. action(1:1) == 'g' ) then
+
+   if ( name(1:1) == 'B' .or. name(1:1) == 'b' ) then
+
+     if ( ndim /= ndim_save ) then
+  deallocate ( base )
+  ndim_save = ndim
+  allocate ( base(ndim_save) )
+  do i = 1, ndim_save
+    base(i) = prime(i)
+  end do
+     end if
+
+     value(1:ndim_save) = base(1:ndim_save)
+
+   else if ( name(1:1) == 'N' .or. name(1:1) == 'n' ) then
+
+     value(1) = ndim_save
+
+   else if ( name(1:1) == 'S' .or. name(1:1) == 's' ) then
+
+     value(1) = seed
+
+   end if
+c  !
+c  !  Increment
+c  !
+ else if ( action(1:1) == 'I' .or. action(1:1) == 'i' ) then
+
+   if ( name(1:1) == 'S' .or. name(1:1) == 's' ) then
+     seed = seed + value(1)
+   end if
+
+ end if
+
+ return
+ end
+c  !
+ subroutine halton_ndim_set ( ndim )
+c  !
+c  !*******************************************************************************
+c  !
+c  !! HALTON_NDIM_SET sets the dimension for a Halton sequence.
+c  !
+c  !
+c  !  Modified:
+c  !
+c  ! 26 February 2001
+c  !
+c  !  Author:
+c  !
+c  ! John Burkardt
+c  !
+c  !  Parameters:
+c  !
+c  ! Input, integer NDIM, the dimension of the Halton vectors.
+c  !
+c  !  Modified:
+c  !
+c  ! 29 April 2005
+c  !
+c  !  Author:
+c  !
+c  ! Franz Roters
+c  !
+ use prec, ONLY: pReal, pInt
+ implicit none
+c  !
+ integer(pInt) ndim
+ integer(pInt) value(1)
+c  !
+ value(1) = ndim
+ call halton_memory ( 'SET', 'NDIM', 1, value )
+
+ return
+ end
+c  !
+ subroutine halton_seed_set ( seed )
+c  !
+c  !*******************************************************************************
+c  !
+c  !! HALTON_SEED_SET sets the "seed" for the Halton sequence.
+c  !
+c  !
+c  !  Discussion:
+c  !
+c  ! Calling HALTON repeatedly returns the elements of the
+c  ! Halton sequence in order, starting with element number 1.
+c  ! An internal counter, called SEED, keeps track of the next element
+c  ! to return. Each time the routine is called, the SEED-th element
+c  ! is computed, and then SEED is incremented by 1.
+c  !
+c  ! To restart the Halton sequence, it is only necessary to reset
+c  ! SEED to 1. It might also be desirable to reset SEED to some other value.
+c  ! This routine allows the user to specify any value of SEED.
+c  !
+c  ! The default value of SEED is 1, which restarts the Halton sequence.
+c  !
+c  !  Modified:
+c  !
+c  ! 26 February 2001
+c  !
+c  !  Author:
+c  !
+c  ! John Burkardt
+c  !
+c  !  Parameters:
+c  !
+c  ! Input, integer SEED, the seed for the Halton sequence.
+c  !
+c  !  Modified:
+c  !
+c  ! 29 April 2005
+c  !
+c  !  Author:
+c  !
+c  ! Franz Roters
+c  !
+ use prec, ONLY: pReal, pInt
+ implicit none
+c  !
+ integer(pInt), parameter :: ndim = 1
+c  !
+ integer(pInt) seed
+ integer(pInt) value(ndim)
+c  !
+ value(1) = seed
+ call halton_memory ( 'SET', 'SEED', ndim, value )
+
+ return
+ end
+c  !
+ subroutine i_to_halton ( seed, base, ndim, r )
+c  !
+c  !*******************************************************************************
+c  !
+c  !! I_TO_HALTON computes an element of a Halton sequence.
+c  !
+c  !
+c  !  Reference:
+c  !
+c  ! J H Halton,
+c  ! On the efficiency of certain quasi-random sequences of points
+c  ! in evaluating multi-dimensional integrals,
+c  ! Numerische Mathematik,
+c  ! Volume 2, pages 84-90, 1960.
+c  !
+c  !  Modified:
+c  !
+c  ! 26 February 2001
+c  !
+c  !  Author:
+c  !
+c  ! John Burkardt
+c  !
+c  !  Parameters:
+c  !
+c  ! Input, integer SEED, the index of the desired element.
+c  ! Only the absolute value of SEED is considered. SEED = 0 is allowed,
+c  ! and returns R = 0.
+c  !
+c  ! Input, integer BASE(NDIM), the Halton bases, which should be
+c  ! distinct prime numbers.  This routine only checks that each base
+c  ! is greater than 1.
+c  !
+c  ! Input, integer NDIM, the dimension of the sequence.
+c  !
+c  ! Output, real R(NDIM), the SEED-th element of the Halton sequence
+c  ! for the given bases.
+c  !
+c  !  Modified:
+c  !
+c  ! 29 April 2005
+c  !
+c  !  Author:
+c  !
+c  ! Franz Roters
+c  !
+ use prec, ONLY: pReal, pInt
+ implicit none
+c  !
+ integer(pInt) ndim
+c  !
+ integer(pInt) base(ndim)
+ real(pReal) base_inv(ndim)
+ integer(pInt) digit(ndim)
+ integer(pInt) i
+ real(pReal) r(ndim)
+ integer(pInt) seed
+ integer(pInt) seed2(ndim)
+c  !
+ seed2(1:ndim) = abs ( seed )
+
+ r(1:ndim) = 0.0_pReal
+
+ if ( any ( base(1:ndim) <= 1 ) ) then
+   write ( *, '(a)' ) ' '
+   write ( *, '(a)' ) 'I_TO_HALTON - Fatal error!'
+   write ( *, '(a)' ) ' An input base BASE is <= 1!'
+   do i = 1, ndim
+     write ( *, '(i6,i6)' ) i, base(i)
+   end do
+   call flush(6)
+   stop
+ end if
+
+ base_inv(1:ndim) = 1.0_pReal / real ( base(1:ndim), pReal )
+
+ do while ( any ( seed2(1:ndim) /= 0 ) )
+   digit(1:ndim) = mod ( seed2(1:ndim), base(1:ndim) )
+   r(1:ndim) = r(1:ndim) + real ( digit(1:ndim), pReal ) 
+     1    * base_inv(1:ndim)
+   base_inv(1:ndim) = base_inv(1:ndim) / 
+     1    real ( base(1:ndim), pReal )
+   seed2(1:ndim) = seed2(1:ndim) / base(1:ndim)
+ end do
+
+ return
+ end
+c
+ function prime ( n )
+c  !
+c  !*******************************************************************************
+c  !
+c  !! PRIME returns any of the first PRIME_MAX prime numbers.
+c  !
+c  !
+c  !  Note:
+c  !
+c  ! PRIME_MAX is 1500, and the largest prime stored is 12553.
+c  !
+c  !  Modified:
+c  !
+c  ! 21 June 2002
+c  !
+c  !  Author:
+c  !
+c  ! John Burkardt
+c  !
+c  !  Reference:
+c  !
+c  ! Milton Abramowitz and Irene Stegun,
+c  ! Handbook of Mathematical Functions,
+c  ! US Department of Commerce, 1964, pages 870-873.
+c  !
+c  ! Daniel Zwillinger,
+c  ! CRC Standard Mathematical Tables and Formulae,
+c  ! 30th Edition,
+c  ! CRC Press, 1996, pages 95-98.
+c  !
+c  !  Parameters:
+c  !
+c  ! Input, integer N, the index of the desired prime number.
+c  ! N = -1 returns PRIME_MAX, the index of the largest prime available.
+c  ! N = 0 is legal, returning PRIME = 1.
+c  ! It should generally be true that 0 <= N <= PRIME_MAX.
+c  !
+c  ! Output, integer PRIME, the N-th prime.  If N is out of range, PRIME
+c  ! is returned as 0.
+c  !
+c  !  Modified:
+c  !
+c  ! 29 April 2005
+c  !
+c  !  Author:
+c  !
+c  ! Franz Roters
+c  !
+ use prec, ONLY: pReal, pInt
+ implicit none
+c  !
+ integer(pInt), parameter :: prime_max = 1500
+c  !
+ integer(pInt), save :: icall = 0
+ integer(pInt) n
+ integer(pInt), save, dimension ( prime_max ) :: npvec
+ integer(pInt) prime
+c  !
+ if ( icall == 0 ) then
+
+ icall = 1
+
+ npvec(1:100) = (/
+     1   2,    3,    5,    7,   11,   13,   17,   19,   23,   29,
+     2  31,   37,   41,   43,   47,   53,   59,   61,   67,   71,
+     3  73,   79,   83,   89,   97,  101,  103,  107,  109,  113,
+     4 127,  131,  137,  139,  149,  151,  157,  163,  167,  173,
+     5 179,  181,  191,  193,  197,  199,  211,  223,  227,  229,
+     6 233,  239,  241,  251,  257,  263,  269,  271,  277,  281,
+     7 283,  293,  307,  311,  313,  317,  331,  337,  347,  349,
+     8 353,  359,  367,  373,  379,  383,  389,  397,  401,  409,
+     9 419,  421,  431,  433,  439,  443,  449,  457,  461,  463,
+     1 467,  479,  487,  491,  499,  503,  509,  521,  523,  541 /)
+
+ npvec(101:200) = (/
+     1  547,  557,  563,  569,  571,  577,  587,  593,  599,  601,
+     2  607,  613,  617,  619,  631,  641,  643,  647,  653,  659,
+     3  661,  673,  677,  683,  691,  701,  709,  719,  727,  733,
+     4  739,  743,  751,  757,  761,  769,  773,  787,  797,  809,
+     5  811,  821,  823,  827,  829,  839,  853,  857,  859,  863,
+     6  877,  881,  883,  887,  907,  911,  919,  929,  937,  941,
+     7  947,  953,  967,  971,  977,  983,  991,  997, 1009, 1013,
+     8 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069,
+     9 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151,
+     1 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223 /)
+
+ npvec(201:300) = (/
+     1 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291,
+     2 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373,
+     3 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451,
+     4 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511,
+     5 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583,
+     6 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657,
+     7 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733,
+     8 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811,
+     9 91823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889,
+     1 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987 /)
+
+ npvec(301:400) = (/
+     1 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053,
+     2 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129,
+     3 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213,
+     4 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287,
+     5 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357,
+     6 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423,
+     7 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531,
+     8 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617,
+     9 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687,
+     1 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741 /)
+
+ npvec(401:500) = (/
+     1 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819,
+     2 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903,
+     3 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999,
+     4 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079,
+     5 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181,
+     6 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257,
+     7 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331,
+     8 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413,
+     9 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511,
+     1 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571 /)
+
+ npvec(501:600) = (/
+     1 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643,
+     2 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727,
+     3 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821,
+     4 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907,
+     5 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989,
+     6 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057,
+     7 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139,
+     8 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231,
+     9 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297,
+     1 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409 /)
+
+ npvec(601:700) = (/
+     1 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493,
+     2 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583,
+     3 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657,
+     4 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751,
+     5 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831,
+     6 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937,
+     7 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003,
+     8 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087,
+     9 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179,
+     1 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279 /)
+
+ npvec(701:800) = (/
+     1 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387,
+     2 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443,
+     3 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521,
+     4 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639,
+     5 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693,
+     6 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791,
+     7 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857,
+     8 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939,
+     9 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053,
+     1 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133 /)
+
+ npvec(801:900) = (/
+     1 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221,
+     2 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301,
+     3 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367,
+     4 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473,
+     5 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571,
+     6 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673,
+     7 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761,
+     8 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833,
+     9 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917,
+     1 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997 /)
+
+ npvec(901:1000) = (/
+     1 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103,
+     2 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207,
+     3 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297,
+     4 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411,
+     5 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499,
+     6 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561,
+     7 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643,
+     8 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723,
+     9 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829,
+     1 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919 /)
+
+ npvec(1001:1100) = (/
+     1 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017,
+     2 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111,
+     3 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219,
+     4 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291,
+     5 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387,
+     6 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501,
+     7 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597,
+     8 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677,
+     9 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741,
+     1 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831 /)
+
+ npvec(1101:1200) = (/
+     1 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929,
+     2 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011,
+     3 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109,
+     4 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199,
+     5 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283,
+     6 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377,
+     7 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439,
+     8 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533,
+     9 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631,
+     1 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733 /)
+
+ npvec(1201:1300) = (/
+     1  9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811,
+     2  9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887,
+     3  9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973,10007,
+     4 10009,10037,10039,10061,10067,10069,10079,10091,10093,10099,
+     5 10103,10111,10133,10139,10141,10151,10159,10163,10169,10177,
+     6 10181,10193,10211,10223,10243,10247,10253,10259,10267,10271,
+     7 10273,10289,10301,10303,10313,10321,10331,10333,10337,10343,
+     8 10357,10369,10391,10399,10427,10429,10433,10453,10457,10459,
+     9 10463,10477,10487,10499,10501,10513,10529,10531,10559,10567,
+     1 10589,10597,10601,10607,10613,10627,10631,10639,10651,10657 /)
+
+ npvec(1301:1400) = (/
+     1 10663,10667,10687,10691,10709,10711,10723,10729,10733,10739,
+     2 10753,10771,10781,10789,10799,10831,10837,10847,10853,10859,
+     3 10861,10867,10883,10889,10891,10903,10909,19037,10939,10949,
+     4 10957,10973,10979,10987,10993,11003,11027,11047,11057,11059,
+     5 11069,11071,11083,11087,11093,11113,11117,11119,11131,11149,
+     6 11159,11161,11171,11173,11177,11197,11213,11239,11243,11251,
+     7 11257,11261,11273,11279,11287,11299,11311,11317,11321,11329,
+     8 11351,11353,11369,11383,11393,11399,11411,11423,11437,11443,
+     9 11447,11467,11471,11483,11489,11491,11497,11503,11519,11527,
+     1 11549,11551,11579,11587,11593,11597,11617,11621,11633,11657 /)
+
+ npvec(1401:1500) = (/
+     1 11677,11681,11689,11699,11701,11717,11719,11731,11743,11777,
+     2 11779,11783,11789,11801,11807,11813,11821,11827,11831,11833,
+     3 11839,11863,11867,11887,11897,11903,11909,11923,11927,11933,
+     4 11939,11941,11953,11959,11969,11971,11981,11987,12007,12011,
+     5 12037,12041,12043,12049,12071,12073,12097,12101,12107,12109,
+     6 12113,12119,12143,12149,12157,12161,12163,12197,12203,12211,
+     7 12227,12239,12241,12251,12253,12263,12269,12277,12281,12289,
+     8 12301,12323,12329,12343,12347,12373,12377,12379,12391,12401,
+     9 12409,12413,12421,12433,12437,12451,12457,12473,12479,12487,
+     1 12491,12497,12503,12511,12517,12527,12539,12541,12547,12553 /)
+
+ end if
+
+ if ( n == -1 ) then
+   prime = prime_max
+ else if ( n == 0 ) then
+   prime = 1
+ else if ( n <= prime_max ) then
+   prime = npvec(n)
+ else
+   prime = 0
+   write ( *, '(a)' ) ' '
+   write ( *, '(a)' ) 'PRIME - Fatal error!'
+   write ( *, '(a,i6)' ) '  Illegal prime index N = ', n
+   write ( *, '(a,i6)' ) '  N must be between 0 and PRIME_MAX =',
+     1     prime_max
+   call flush(6)
+   stop
+ end if
+
+ return
+ end
+
+
+
+c********************************************************************
+c This routine generates a random orientation
+c********************************************************************
+ subroutine math_random_ori (phi1, PHI, phi2, scatter)
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) phi1, PHI, phi2, scatter, x, y, z
+c
+ call random_number(x)
+ call random_number(y)
+ call random_number(z)
+ phi1=x*360.0_pReal
+ PHI=acos(y)*inDeg
+ phi2=z*360.0_pReal
+ scatter=0.0_pReal
+ return
+ end
+c
+c
+ subroutine math_halton_ori (phi1, PHI, phi2, scatter)
+c********************************************************************
+c This routine generates a random orientation using Halton series
+c********************************************************************
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) phi1, PHI, phi2, scatter, r(3)
+c
+ call halton(3,r)
+ phi1=r(1)*360.0_pReal
+ PHI=acos(r(2))*inDeg
+ phi2=r(3)*360.0_pReal
+ scatter=0.0_pReal
+ return
+ end
+c
+c
+c********************************************************************
+c This routine applies gaussian scatter to the texture components
+c********************************************************************
+ subroutine math_disturbOri (phi1, PHI, phi2, scatter)
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) phi1, PHI, phi2, scatter
+ real(pReal) orot(3,3), srot(3,3), p1(2), P(2), p2(2), rot(3,3)
+ real(pReal) gscatter, scale, x, y, s, z, arg, angle, rand,
+     1      gauss
+c
+ p1(1)=0
+ P(1)=0
+ p2(1)=0
+
+c Helming uses different distribution with Bessel functions
+c therefore the gauss scatter width has to be scaled differently
+ gscatter=0.95*scatter
+ scale=cos(gscatter*inRad)
+c
+ 100 call random_number(x)
+ call random_number(y)
+ call random_number(s)
+ call random_number(z)
+ x=x-0.5
+ s=s-0.5
+ z=z-0.5
+ p1(2)=x*gscatter*2.0_pReal
+ p2(2)=z*gscatter*2.0_pReal
+ arg=scale+y*(1.0-scale)
+ P(2)=sign(1.0_pReal,s)*acos(arg)*inDeg
+ angle = math_disorient(p1,P,p2)
+ call random_number(rand)
+ gauss=exp(-1.0*(angle/gscatter)**2)
+ if(gauss.LT.rand) then
+     goto 100
+ end if
+c calculate rotation matrix for rotation angles
+ srot = math_EulertoR(p1(2),p(2),p2(2))
+c calculate rotation matrix for original euler angles
+ orot = math_EulertoR(phi1,PHI,phi2)      
+c rotate originial orientation matrix
+ rot=matmul(srot,orot)
+c calculate Euler angles for new rotation matrix
+ call math_RtoEuler(rot, phi1,PHI,phi2)
+ return
+ end
+c
+c
+c********************************************************************
+c This routine computes one orientation of a fiber component
+c********************************************************************
+ subroutine math_fiber(alpha1, alpha2,beta1,beta2,scatter,
+     1       phi1,PHI,phi2)
+
+ use prec, ONLY: pReal, pInt
+ implicit none
+c
+ real(pReal) alpha1, alpha2,beta1,beta2,scatter, phi1, PHI, phi2
+ real(pReal) orot(3,3), srot(3,3), ac(3), as(3),
+     1      ori(3,3), rrot(3,3)
+ real(pReal) a1r, a2r, b1r, b2r, angle, axis_u, axis_v, axis_w,
+     1      rand, x, y, z, gscatter, scale, gauss
+ integer(pInt) i
+c
+c convert angles to radians
+ a1r=alpha1*inRad
+ a2r=alpha2*inRad
+ b1r=beta1*inRad
+ b2r=beta2*inRad
+c calculate fiber axis in crystal coordinate system
+ ac(1)=sin(a1r)*cos(a2r)
+ ac(2)=sin(a1r)*sin(a2r)
+ ac(3)=cos(a1r)
+c calculate fiber axis in sample coordinate system
+ as(1)=sin(b1r)*cos(b2r)
+ as(2)=sin(b1r)*sin(b2r)
+ as(3)=cos(b1r)
+c calculate rotation angle between sample and crystal system
+ angle=-acos(dot_product(ac, as))
+ if(angle.NE.0.0) then
+c calculate rotation axis between sample and crystal system
+     axis_u=ac(2)*as(3)-ac(3)*as(2)
+     axis_v=ac(3)*as(1)-ac(1)*as(3)
+     axis_w=ac(1)*as(2)-ac(2)*as(1)
+c calculate rotation matrix
+     orot = math_RodrigtoR(angle, axis_u, axis_v, axis_w)
+ else
+     orot = I3
+ end if
+
+c calculate random rotation angle about fiber axis
+ call random_number(rand)
+ angle=rand*2.0_pReal*pi
+ rrot = math_RodrigtoR(angle, as(1), as(2), as(3))
+c find random axis pependicular to fiber axis
+ call random_number(x)
+ call random_number(y)
+ if (as(3).NE.0) then
+     z=-(x*as(1)+y*as(2))/as(3)
+ else if(as(2).NE.0) then
+     z=y
+     y=-(x*as(1)+z*as(3))/as(2)
+ else if(as(1).NE.0) then
+     z=x
+     x=-(y*as(2)+z*as(3))/as(1)
+ end if
+c Helming uses different distribution with Bessel functions
+c therefore the gauss scatter width has to be scalled differently
+ gscatter=0.95*scatter
+ scale=cos(2*gscatter*inRad)
+c calculate rotation angle
+ 100 call random_number(rand)
+ angle=sign(1.0_pReal,rand)*acos(abs(rand)*scale)*inDeg
+ call random_number(rand)
+ gauss=exp(-1.0*(angle/gscatter)**2)
+ if(gauss.LT.rand) then
+     goto 100
+ end if
+c convert angle to radians
+ angle=angle*inRad
+ srot = math_RodrigtoR(angle, x, y, z)
+ ori=matmul(srot, matmul(rrot, orot))
+c calculate Euler angles for new rotation matrix
+ call math_RtoEuler(ori, phi1,PHI,phi2)
+c 
+ return
+ end
+
+
+ END MODULE math
+
diff --git a/mesh.f90 b/mesh.f90
new file mode 100644
index 000000000..2cd8a4fc4
--- /dev/null
+++ b/mesh.f90
@@ -0,0 +1,210 @@
+
+!##############################################################
+      MODULE mesh     
+!##############################################################
+
+      use prec, only: pRe,pIn
+      implicit none
+
+!     ---------------------------
+!	_Nelems	: total number of elements in mesh
+!	_Nnodes	: total number of nodes in mesh
+!	_maxNnodes	: max number of nodes in any element
+!	_maxNips	: max number of IPs in any element
+!	_element	: type, material, node indices
+!	_node		: x,y,z coordinates (initially!)
+!	_nodeIndex	: count of elements containing node,
+!			  [element_num, node_index], ...
+!	_envIP	: 6 neighboring IPs as [element_num, IP_index]
+!			  order is +x, +y,+z, -x, -y, -z in local coord
+!     ---------------------------
+      integer(pIn) mesh_Nelems, mesh_Nnodes, mesh_maxNnodes,mesh_maxNips
+      integer(pIn), allocatable :: mesh_element (:,:)
+      integer(pIn), allocatable :: mesh_nodeIndex (:,:)
+      integer(pIn), allocatable :: mesh_envIP (:,:)
+      real(pRe), allocatable :: mesh_node (:,:)
+
+	CONTAINS
+!     ---------------------------
+!	subroutine mesh_init()
+!	subroutine mesh_parse_inputFile()
+!     ---------------------------
+
+	
+!     ***********************************************************
+!     initialization 
+!     ***********************************************************
+	SUBROUTINE mesh_init ()
+
+	mesh_Nelems = 0_pIn
+	mesh_Nnodes = 0_pIn
+	mesh_maxNips = 0_pIn
+	mesh_maxNnodes = 0_pIn
+	call mesh_parse_inputFile ()
+
+	END SUBROUTINE
+	
+!     ***********************************************************
+!     parsing of input file 
+!     ***********************************************************
+	FUNCTION mesh_parse_inputFile ()
+
+      use prec, only: pRe,pIn
+      use IO
+      
+      implicit none
+
+	logical mesh_parse_inputFile
+      integer(pIn) i,j,positions(10*2+1)
+      integer(pIn) elem_num,elem_type,Nnodes,node_num,num_ip,mat,tp(70,2)
+
+!     Set a format to read the entire line (max. len is 80 characters)
+  610 FORMAT(A80)
+
+	if (.not. IO_open_inputFile(600)) then
+	  mesh_parse_inputFile = .false.
+	  return
+	endif
+
+      do while(.true.)
+        read(600,610,end=620) line
+
+	  positions = IO_stringPos(line,3)
+	  select case (IO_stringValue(line,positions,1)
+!-----------------------------------
+	  case ('sizing')
+!-----------------------------------
+	    mesh_Nelems = IO_intValue(line,positions,2)
+	    mesh_Nnodes = IO_intValue(line,positions,3)
+!-----------------------------------
+	  case ('elements')
+!-----------------------------------
+	    select case (IO_intValue(line,positions,2)) ! elem type
+	      case (3) ! 2D Triangle
+	        mesh_maxNips = max(3,mesh_maxNips)
+	        mesh_maxNnodes = max(3,mesh_maxNnodes)
+	      case (6) ! 2D Quad.
+	        mesh_maxNips = max(4,mesh_maxNips)
+	        mesh_maxNnodes = max(4,mesh_maxNnodes)
+	      case (7) ! 3D hexahedral
+	        mesh_maxNips = max(8,mesh_maxNips)
+	        mesh_maxNnodes = max(8,mesh_maxNnodes)
+	      case default
+	        mesh_maxNips = max(8,mesh_maxNips)
+	        mesh_maxNnodes = max(8,mesh_maxNnodes)
+	    end select
+!-----------------------------------
+	  case ('connectivity')
+!-----------------------------------
+          allocate (mesh_element(mesh_Nelems,2+mesh_maxNips))
+          allocate (mesh_nodeIndex (mesh_Nnodes,1+mesh_maxNnodes*2)
+          allocate (mesh_envIP(mesh_Nelems,mesh_maxNips,6,2))
+	    mesh_element = 0_pIn
+	    mesh_nodeIndex = 0_pIn
+	    mesh_envIP = 0_pIn
+
+!	MISSING: setting up of envIP
+
+          read(600,610,end=620) line ! skip line ??
+          do i=1,mesh_Nelems
+            read(600,610,end=620) line
+	      positions = IO_stringPos(line,0) ! find all chunks
+	      elem_num  = IO_intValue(line,positions,1)
+	      elem_type = IO_intValue(line,positions,2)
+	      select case (elem_type)
+	      case (3) ! 2D Triangle
+	        Nnodes = 3
+	      case (6) ! 2D Quad.
+	        Nnodes = 4
+	      case (7) ! 3D hexahedral
+	        Nnodes = 8
+	      case default
+	        Nnodes = 8
+	      end select
+            mesh_element(elem_num,1) = elem_type
+	      do j=1,Nnodes  ! store all node indices
+	        node_num = IO_intValue(line,positions,2+j)
+              mesh_element(elem_num,1+j) = node_num
+              mesh_nodeIndex(node_num,1) = mesh_nodeIndex(node_num,1)+1 ! inc count
+              mesh_nodeIndex(node_num,mesh_nodeIndex(node_num,1)*2  ) = elem_num
+              mesh_nodeIndex(node_num,mesh_nodeIndex(node_num,1)*2+1) = j
+            end do
+          end do
+!-----------------------------------
+	  case ('coordinates')
+!-----------------------------------
+          allocate (mesh_node(mesh_Nnodes,3)) ! x,y,z, per node
+
+          read(600,610,end=620) line ! skip line ??
+          do i=1,mesh_Nnodes
+            read(600,610,end=620) line
+	      positions = IO_stringPos(line,0) ! find all (4) chunks
+	      node_num  = IO_intValue(line,positions,1)
+	      do j=1,3  ! store x,y,z coordinates
+              mesh_node(node_num,j) = IO_floatValue(line,positions,1+j)
+            end do
+          end do
+!-----------------------------------
+	  case ('hypoelastic')
+!-----------------------------------
+ 
+!       ***************************************************
+!       Search for key word "hypoelastic".  
+!         This section contains the # of materials and
+!           the element range of each material
+!       ***************************************************
+        ELSE IF( line(1:11).eq.'hypoelastic' )THEN
+          mat=0
+          flag=0
+          DO WHILE( line(1:8).ne.'geometry' )
+            READ(600,610,END=620) line
+            i=1
+            DO WHILE( i.le.len(line)-8 )
+              IF( line(i:i+2).eq.'mat' )THEN
+                mat=mat+1
+                flag=1
+              END IF
+              i=i+1
+            END DO
+            IF( flag.eq.1 )THEN
+              flag=0
+              READ(600,610,END=620) line
+              READ(600,610,END=620) line
+              i=1
+              DO WHILE( line(i:i).eq.' ')
+                i=i+1
+              END DO
+              left=i
+              DO WHILE( line(i:i).ne.' ')
+                i=i+1
+              END DO
+              right=i-1
+              READ(UNIT=line(left:right), FMT=' (I5) ') tp(mat,1)
+              DO WHILE( (line(i:i).eq.' ').or.
+     &                  (line(i:i).eq.'t').or.
+     &                  (line(i:i).eq.'o') )
+                    i=i+1
+              END DO
+              left=i
+              DO WHILE( line(i:i).ne.' ')
+                i=i+1
+              END DO
+              right=i-1
+              READ(UNIT=line(left:right), FMT=' (I5) ') tp(mat,2)
+            END IF
+          END DO
+          WRITE(6,*) 'mat: ',mat,' ',tp(1,1),' ',tp(1,2)
+
+	  end select
+      END DO
+
+!     Code jumps to 620 when it reaches the end of the file
+  620 continue
+
+      WRITE(6,*) 'Finished with .dat file'
+      CALL FLUSH(6)
+
+	END FUNCTION
+	
+	END MODULE mesh
+	
\ No newline at end of file
diff --git a/prec.f90 b/prec.f90
new file mode 100644
index 000000000..ccc0d65c0
--- /dev/null
+++ b/prec.f90
@@ -0,0 +1,11 @@
+
+!##############################################################
+ MODULE prec
+!##############################################################
+
+ implicit none
+
+ integer, parameter :: pReal = 8
+ integer, parameter :: pInz  = 4
+
+ END MODULE prec