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DAMASK_EICMD
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DAMASK_EICMD/trunk/mesh.f90

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!##############################################################
MODULE mesh
!##############################################################
use prec, only: pReal,pInt
implicit none
! ---------------------------
! _Nelems : total number of elements in mesh
! _NcpElems : total number of CP elements in mesh
! _Nnodes : total number of nodes in mesh
! _maxNnodes : max number of nodes in any CP element
! _maxNips : max number of IPs in any CP element
! _maxNipNeighbors : max number of IP neighbors in any CP element
! _maxNsharedElems : max number of CP elements sharing a node
!
! _element : FEid, type(internal representation), material, texture, node indices
! _node : x,y,z coordinates (initially!)
! _sharedElem : entryCount and list of elements containing node
!
! _mapFEtoCPelem : [sorted FEid, corresponding CPid]
! _mapFEtoCPnode : [sorted FEid, corresponding CPid]
!
! MISSING: these definitions should actually reside in the
! FE-solver specific part (different for MARC/ABAQUS)..!
! Hence, I suggest to prefix with "FE_"
!
! _Nnodes : # nodes in a specific type of element
! _Nips : # IPs in a specific type of element
! _NipNeighbors : # IP neighbors in a specific type of element
! _ipNeighbor : +x,-x,+y,-y,+z,-z list of intra-element IPs and
! (negative) neighbor faces per own IP in a specific type of element
! _NfaceNodes : # nodes per face in a specific type of element
! _nodeOnFace : list of node indices on each face of a specific type of element
! _nodesAtIP : map IP index to two node indices in a specific type of element
! _ipNeighborhood : 6 or less neighboring IPs as [element_num, IP_index]
! _NsubNodes : # subnodes required to fully define all IP volumes
! order is +x,-x,+y,-y,+z,-z but meaning strongly depends on Elemtype
! ---------------------------
integer(pInt) mesh_Nelems,mesh_NcpElems,mesh_NelemSets,mesh_maxNelemInSet
integer(pInt) mesh_Nnodes,mesh_maxNnodes,mesh_maxNips,mesh_maxNipNeighbors,mesh_maxNsharedElems,mesh_maxNsubNodes
integer(pInt), dimension(2) :: mesh_maxValStateVar = 0_pInt
character(len=64), dimension(:), allocatable :: mesh_nameElemSet
integer(pInt), dimension(:,:), allocatable :: mesh_mapElemSet
integer(pInt), dimension(:,:), allocatable, target :: mesh_mapFEtoCPelem,mesh_mapFEtoCPnode
integer(pInt), dimension(:,:), allocatable :: mesh_element, mesh_sharedElem
integer(pInt), dimension(:,:,:,:), allocatable :: mesh_ipNeighborhood
real(pReal), dimension(:,:,:), allocatable :: mesh_subNodeCoord ! coordinates of subnodes per element
real(pReal), dimension(:,:), allocatable :: mesh_ipVolume ! volume associated with IP
real(pReal), dimension(:,:,:), allocatable :: mesh_ipArea ! area of interface to neighboring IP
real(pReal), dimension(:,:,:,:), allocatable :: mesh_ipAreaNormal ! area normal of interface to neighboring IP
real(pReal), allocatable :: mesh_node (:,:)
integer(pInt) :: hypoelasticTableStyle = 0
integer(pInt) :: initialcondTableStyle = 0
integer(pInt), parameter :: FE_Nelemtypes = 7
integer(pInt), parameter :: FE_maxNnodes = 20
integer(pInt), parameter :: FE_maxNsubNodes = 56
integer(pInt), parameter :: FE_maxNips = 27
integer(pInt), parameter :: FE_maxNipNeighbors = 6
integer(pInt), parameter :: FE_NipFaceNodes = 4
integer(pInt), dimension(FE_Nelemtypes), parameter :: FE_Nnodes = &
(/8, & ! element 7
4, & ! element 134
4, & ! element 11
4, & ! element 27
4, & ! element 157
6, & ! element 136
20 & ! element 21
/)
integer(pInt), dimension(FE_Nelemtypes), parameter :: FE_Nips = &
(/8, & ! element 7
1, & ! element 134
4, & ! element 11
9, & ! element 27
4, & ! element 157
6, & ! element 136
27 & ! element 21
/)
integer(pInt), dimension(FE_Nelemtypes), parameter :: FE_NipNeighbors = &
(/6, & ! element 7
4, & ! element 134
4, & ! element 11
4, & ! element 27
6, & ! element 157
6, & ! element 136
6 & ! element 21
/)
integer(pInt), dimension(FE_Nelemtypes), parameter :: FE_NsubNodes = &
(/19,& ! element 7
0, & ! element 134
5, & ! element 11
12, & ! element 27
0, & ! element 157
0, & ! element 136
56 & ! element 21
/)
integer(pInt), dimension(FE_maxNipNeighbors,FE_Nelemtypes), parameter :: FE_NfaceNodes = &
reshape((/&
4,4,4,4,4,4, & ! element 7
3,3,3,3,0,0, & ! element 134
2,2,2,2,0,0, & ! element 11
2,2,2,2,0,0, & ! element 27
3,3,3,3,0,0, & ! element 157
3,4,4,4,3,0, & ! element 136
4,4,4,4,4,4 & ! element 21
/),(/FE_maxNipNeighbors,FE_Nelemtypes/))
integer(pInt), dimension(2,2,FE_maxNips,FE_Nelemtypes), parameter :: FE_nodesAtIP = &
reshape((/&
1,0, 0,0, & ! element 7
2,0, 0,0, &
4,0, 0,0, &
3,0, 0,0, &
5,0, 0,0, &
6,0, 0,0, &
8,0, 0,0, &
7,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
1,0, 0,0, & ! element 134
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
1,0, 0,0, & ! element 11
2,0, 0,0, &
4,0, 0,0, &
3,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
1,0, 0,0, & ! element 27
1,2, 0,0, &
2,0, 0,0, &
1,4, 0,0, &
1,3, 2,4, &
2,3, 0,0, &
4,0, 0,0, &
3,4, 0,0, &
3,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
1,0, 0,0, & ! element 157
2,0, 0,0, &
3,0, 0,0, &
4,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
1,0, 0,0, & ! element 136
2,0, 0,0, &
3,0, 0,0, &
4,0, 0,0, &
5,0, 0,0, &
6,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
0,0, 0,0, &
1,0, 0,0, & ! element 21
1,2, 0,0, &
2,0, 0,0, &
1,4, 0,0, &
1,3, 2,4, &
2,3, 0,0, &
4,0, 0,0, &
3,4, 0,0, &
3,0, 0,0, &
1,5, 0,0, &
1,6, 2,5, &
2,6, 0,0, &
1,8, 4,5, &
0,0, 0,0, &
2,7, 3,6, &
4,8, 0,0, &
3,8, 4,7, &
3,7, 0,0, &
5,0, 0,0, &
5,6, 0,0, &
6,0, 0,0, &
5,8, 0,0, &
5,7, 6,8, &
6,7, 0,0, &
8,0, 0,0, &
7,8, 0,0, &
7,0, 0,0 &
/),(/2,2,FE_maxNips,FE_Nelemtypes/))
integer(pInt), dimension(FE_NipFaceNodes,FE_maxNipNeighbors,FE_Nelemtypes), parameter :: FE_nodeOnFace = &
reshape((/&
1,2,3,4 , & ! element 7
2,1,5,6 , &
3,2,6,7 , &
4,3,7,8 , &
4,1,5,8 , &
8,7,6,5 , &
1,2,3,0 , & ! element 134
1,4,2,0 , &
2,3,4,0 , &
1,3,4,0 , &
0,0,0,0 , &
0,0,0,0 , &
1,2,0,0 , & ! element 11
2,3,0,0 , &
3,4,0,0 , &
4,1,0,0 , &
0,0,0,0 , &
0,0,0,0 , &
1,2,0,0 , & ! element 27
2,3,0,0 , &
3,4,0,0 , &
4,1,0,0 , &
0,0,0,0 , &
0,0,0,0 , &
1,2,3,0 , & ! element 157
1,4,2,0 , &
2,3,4,0 , &
1,3,4,0 , &
0,0,0,0 , &
0,0,0,0 , &
1,2,3,0 , & ! element 136
1,4,5,2 , &
2,5,6,3 , &
1,3,6,4 , &
4,6,5,0 , &
0,0,0,0 , &
1,2,3,4 , & ! element 21
2,1,5,6 , &
3,2,6,7 , &
4,3,7,8 , &
4,1,5,8 , &
8,7,6,5 &
/),(/FE_NipFaceNodes,FE_maxNipNeighbors,FE_Nelemtypes/))
integer(pInt), dimension(FE_maxNipNeighbors,FE_maxNips,FE_Nelemtypes), parameter :: FE_ipNeighbor = &
reshape((/&
2,-5, 3,-2, 5,-1 , & ! element 7
-3, 1, 4,-2, 6,-1 , &
4,-5,-4, 1, 7,-1 , &
-3, 3,-4, 2, 8,-1 , &
6,-5, 7,-2,-6, 1 , &
-3, 5, 8,-2,-6, 2 , &
8,-5,-4, 5,-6, 3 , &
-3, 7,-4, 6,-6, 4 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
-1,-2,-3,-4, 0, 0 , & ! element 134
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
2,-4, 3,-1, 0, 0 , & ! element 11
-2, 1, 4,-1, 0, 0 , &
4,-4,-3, 1, 0, 0 , &
-2, 3,-3, 2, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
2,-4, 4,-1, 0, 0 , & ! element 27
3, 1, 5,-1, 0, 0 , &
-2, 2, 6,-1, 0, 0 , &
5,-4, 7, 1, 0, 0 , &
6, 4, 8, 2, 0, 0 , &
-2, 5, 9, 3, 0, 0 , &
8,-4,-3, 4, 0, 0 , &
9, 7,-3, 5, 0, 0 , &
-2, 8,-3, 6, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
2,-4, 3,-2, 4,-1 , & ! element 157
3,-2, 1,-3, 4,-1 , &
1,-3, 2,-4, 4,-1 , &
1,-3, 2,-4, 3,-2 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
2,-4, 3,-2, 4,-1 , & ! element 136
-3, 1, 3,-2, 5,-1 , &
2,-4,-3, 1, 6,-1 , &
5,-4, 6,-2,-5, 1 , &
-3, 4, 6,-2,-5, 2 , &
5,-4,-3, 4,-5, 3 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
0, 0, 0, 0, 0, 0 , &
2,-5, 4,-2,10,-1 , & ! element 21
3, 1, 5,-2,11,-1 , &
-3, 2, 6,-2,12,-1 , &
5,-5, 7, 1,13,-1 , &
6, 4, 8, 2,14,-1 , &
-3, 5, 9, 3,15,-1 , &
8,-5,-4, 4,16,-1 , &
9, 7,-4, 5,17,-1 , &
-3, 8,-4, 6,18,-1 , &
11,-5,13,-2,10, 1 , &
12,10,14,-2,11, 2 , &
-3,11,15,-2,12, 3 , &
14,-5,16,10,13, 4 , &
15,13,17,11,14, 5 , &
-3,14,18,12,15, 6 , &
17,-5,-4,13,16, 7 , &
18,16,-4,14,17, 8 , &
-3,17,-4,15,18, 9 , &
20,-5,22,-2,-6,10 , &
21,19,23,-2,-6,11 , &
-3,20,24,-2,-6,12 , &
23,-5,25,19,-6,13 , &
24,22,26,20,-6,14 , &
-3,23,27,21,-6,15 , &
26,-5,-4,22,-6,16 , &
27,25,-4,23,-6,17 , &
-3,26,-4,24,-6,18 &
/),(/FE_maxNipNeighbors,FE_maxNips,FE_Nelemtypes/))
integer(pInt), dimension(FE_maxNips,FE_maxNsubNodes,FE_Nelemtypes), parameter :: FE_subNodeParent = &
reshape((/&
1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! element 7
2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
8, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 2, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 2, 6, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! element 134
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1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! element 11
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & ! element 21
1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
5, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
5, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
6, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
6, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
7, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
7, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
8, 8, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
8, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 1, 1, 1, 2, 2, 4, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 2, 2, 2, 1, 1, 3, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 3, 3, 3, 2, 2, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 4, 4, 4, 1, 1, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 1, 1, 1, 2, 2, 5, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 2, 2, 2, 1, 1, 6, 6, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
2, 2, 2, 2, 3, 3, 6, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 3, 3, 3, 2, 2, 7, 7, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
3, 3, 3, 3, 4, 4, 7, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 4, 4, 4, 3, 3, 8, 8, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
4, 4, 4, 4, 1, 1, 8, 8, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 1, 1, 1, 4, 4, 5, 5, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
5, 5, 5, 5, 1, 1, 6, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
6, 6, 6, 6, 2, 2, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
6, 6, 6, 6, 2, 2, 7, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
7, 7, 7, 7, 3, 3, 6, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
7, 7, 7, 7, 3, 3, 8, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
8, 8, 8, 8, 4, 4, 7, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
8, 8, 8, 8, 4, 4, 5, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
5, 5, 5, 5, 1, 1, 8, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
5, 5, 5, 5, 6, 6, 8, 8, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
6, 6, 6, 6, 5, 5, 7, 7, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
7, 7, 7, 7, 6, 6, 8, 8, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
8, 8, 8, 8, 5, 5, 7, 7, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, &
1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 3, 3, 6, 6, 8, 8, 7, &
2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 6, 6, 6, 6, 4, 4, 5, 5, 7, 7, 8, &
3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 4, 4, 4, 4, 7, 7, 7, 7, 1, 1, 6, 6, 8, 8, 5, &
4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 3, 3, 3, 3, 8, 8, 8, 8, 2, 2, 5, 5, 7, 7, 6, &
5, 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 6, 6, 6, 6, 8, 8, 8, 8, 2, 2, 4, 4, 7, 7, 3, &
6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 5, 5, 5, 5, 8, 8, 8, 8, 1, 1, 3, 3, 8, 8, 4, &
7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 6, 6, 6, 6, 7, 7, 7, 7, 2, 2, 4, 4, 5, 5, 1, &
8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 5, 5, 5, 5, 7, 7, 7, 7, 1, 1, 3, 3, 6, 6, 2 &
/),(/FE_maxNips,FE_maxNsubNodes,FE_Nelemtypes/))
integer(pInt), dimension(FE_NipFaceNodes,FE_maxNipNeighbors,FE_maxNips,FE_Nelemtypes), parameter :: FE_subNodeOnIPFace = &
reshape((/&
9,21,27,22, & ! element 7
1,13,25,12, &
12,25,27,21, &
1, 9,22,13, &
13,22,27,25, &
1,12,21, 9, &
2,10,23,14, & !
9,22,27,21, &
10,21,27,23, &
2,14,22, 9, &
14,23,27,22, &
2, 9,21,10, &
11,24,27,21, & !
4,12,25,16, &
4,16,24,11, &
12,21,27,25, &
16,25,27,24, &
4,11,21,12, &
3,15,23,10, & !
11,21,27,24, &
3,11,24,15, &
10,23,27,21, &
15,24,27,23, &
3,10,21,11, &
17,22,27,26, & !
5,20,25,13, &
20,26,27,25, &
5,13,22,17, &
5,17,26,20, &
13,25,27,22, &
6,14,23,18, & !
17,26,27,22, &
18,23,27,26, &
6,17,22,14, &
6,18,26,17, &
14,22,27,23, &
19,26,27,24, & !
8,16,25,20, &
8,19,24,16, &
20,25,27,26, &
8,20,26,19, &
16,24,27,25, &
7,18,23,15, & !
19,24,27,26, &
7,15,24,19, &
18,26,27,23, &
7,19,26,18, &
15,23,27,24, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
1, 1, 3, 2, & ! element 134
1, 1, 2, 4, &
2, 2, 3, 4, &
1, 1, 4, 3, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
5, 9, 0, 0, & ! element 11
1, 8, 0, 0, &
8, 9, 0, 0, &
1, 5, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
2, 6, 0, 0, & !
5, 9, 0, 0, &
6, 9, 0, 0, &
2, 5, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
3, 6, 0, 0, & !
7, 9, 0, 0, &
3, 7, 0, 0, &
6, 9, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
7, 9, 0, 0, & !
4, 8, 0, 0, &
4, 7, 0, 0, &
8, 9, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
9,17, 0, 0, & ! element 27
1,16, 0, 0, &
16,17, 0, 0, &
1, 9, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
10,18, 0, 0, & !
9,17, 0, 0, &
17,18, 0, 0, &
9,10, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
2,11, 0, 0, & !
10,18, 0, 0, &
11,18, 0, 0, &
2,10, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
17,20, 0, 0, & !
15,16, 0, 0, &
15,20, 0, 0, &
16,17, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
18,19, 0, 0, & !
17,20, 0, 0, &
19,20, 0, 0, &
17,18, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
11,12, 0, 0, & !
18,19, 0, 0, &
12,19, 0, 0, &
11,18, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
14,20, 0, 0, & !
4,15, 0, 0, &
4,14, 0, 0, &
15,20, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
13,19, 0, 0, & !
14,20, 0, 0, &
13,14, 0, 0, &
19,20, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
3,12, 0, 0, & !
13,19, 0, 0, &
3,13, 0, 0, &
12,19, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & ! element 157
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & ! element 136
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, & !
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
0, 0, 0, 0, &
9,33,57,37, & ! element 21
1,17,44,16, &
16,44,57,33, &
1, 9,37,17, &
17,37,44,57, &
1,16,33, 9, &
10,34,58,38, & !
9,37,57,33, &
33,57,58,34, &
9,10,38,37, &
37,38,57,58, &
9,33,34,10, &
2,11,39,18, & !
10,38,58,34, &
34,58,39,11, &
10, 2,18,38, &
38,18,58,39, &
10,34,11, 2, &
16,15,43,44, & !
2,18,39,11, &
11,39,43,15, &
2,16,44,18, &
18,44,39,43, &
2,11,15,16, &
33,36,60,57, & !
16,44,43,15, &
15,43,60,36, &
16,33,57,44, &
44,57,43,60, &
16,15,36,33, &
34,35,59,58, & !
33,57,60,36, &
36,60,59,35, &
33,34,58,57, &
57,58,60,59, &
33,36,35,34, &
11,12,40,39, & !
34,58,59,35, &
35,59,40,12, &
34,11,39,58, &
58,39,59,40, &
34,35,12,11, &
15, 4,20,43, & !
11,39,40,12, &
12,40,20, 4, &
11,15,43,39, &
39,43,40,20, &
11,12, 4,15, &
36,14,42,60, & !
15,43,20, 4, &
4,20,42,14, &
15,36,60,43, &
43,60,20,42, &
15, 4,14,36, &
37,57,61,45, & !
17,21,52,44, &
44,52,61,57, &
17,37,45,21, &
21,45,52,61, &
17,44,57,37, &
38,58,62,46, & !
37,45,61,57, &
57,61,62,58, &
37,38,46,45, &
45,46,61,62, &
37,57,58,38, &
18,39,47,22, & !
38,46,62,58, &
58,62,47,39, &
38,18,22,46, &
46,22,62,47, &
38,58,39,18, &
44,43,51,52, & !
18,22,47,39, &
39,47,51,43, &
18,44,52,22, &
22,52,47,51, &
18,39,43,44, &
57,60,64,61, & !
44,52,51,43, &
43,51,64,60, &
44,57,61,52, &
52,61,51,64, &
44,43,60,57, &
58,59,63,62, & !
57,61,64,60, &
60,64,63,59, &
57,58,62,61, &
61,62,64,63, &
57,60,59,58, &
39,40,48,47, & !
58,62,63,59, &
59,63,48,40, &
58,39,47,62, &
62,47,63,48, &
58,59,40,39, &
43,20,24,51, & !
39,47,48,40, &
40,48,24,20, &
39,43,51,47, &
47,51,48,24, &
39,40,20,43, &
60,42,50,64, & !
43,51,24,20, &
20,24,50,42, &
43,60,64,51, &
51,64,24,50, &
43,20,42,60, &
45,61,53,25, & !
21, 5,32,52, &
52,32,53,61, &
21,45,25, 5, &
5,25,32,53, &
21,52,61,45, &
46,62,54,26, & !
45,25,53,61, &
61,53,54,62, &
45,46,26,25, &
25,26,53,54, &
45,61,62,46, &
22,47,27, 6, & !
46,26,54,62, &
62,54,27,47, &
46,22, 6,26, &
26, 6,54,27, &
46,62,47,22, &
52,51,31,32, & !
22, 6,27,47, &
47,27,31,51, &
22,52,32, 6, &
6,32,27,31, &
22,47,51,52, &
61,64,56,53, & !
52,32,31,51, &
51,31,56,64, &
52,61,53,32, &
32,53,31,56, &
52,51,64,61, &
62,63,55,54, & !
61,53,56,64, &
64,56,55,63, &
61,62,54,53, &
53,54,56,55, &
61,64,63,62, &
47,48,28,27, & !
62,54,55,63, &
63,55,28,48, &
62,47,27,54, &
54,27,55,28, &
62,63,48,47, &
51,24, 8,31, & !
47,27,28,48, &
48,28, 8,24, &
47,51,31,27, &
27,31,28, 8, &
47,48,24,51, &
64,50,30,56, & !
51,31, 8,24, &
24, 8,30,50, &
51,64,56,31, &
31,56, 8,30, &
51,24,50,64 &
/),(/FE_NipFaceNodes,FE_maxNipNeighbors,FE_maxNips,FE_Nelemtypes/))
CONTAINS
! ---------------------------
! subroutine mesh_init()
! function mesh_FEtoCPelement(FEid)
! function mesh_build_ipNeighorhood()
! ---------------------------
!***********************************************************
! initialization
!***********************************************************
SUBROUTINE mesh_init ()
use prec, only: pInt
use IO, only: IO_error,IO_open_InputFile
use FEsolving, only: parallelExecution
implicit none
integer(pInt), parameter :: fileUnit = 222
mesh_Nelems = 0_pInt
mesh_NcpElems = 0_pInt
mesh_Nnodes = 0_pInt
mesh_maxNips = 0_pInt
mesh_maxNnodes = 0_pInt
mesh_maxNipNeighbors = 0_pInt
mesh_maxNsharedElems = 0_pInt
mesh_maxNsubNodes = 0_pInt
mesh_NelemSets = 0_pInt
mesh_maxNelemInSet = 0_pInt
! call to various subroutines to parse the stuff from the input file...
if (IO_open_inputFile(fileUnit)) then
call mesh_get_meshDimensions(fileUnit)
call mesh_build_nodeMapping(fileUnit)
call mesh_build_elemMapping(fileUnit)
call mesh_build_elemSetMapping(fileUnit)
call mesh_get_nodeElemDimensions(fileUnit)
call mesh_build_nodes(fileUnit)
call mesh_build_elements(fileUnit)
call mesh_build_sharedElems(fileUnit)
call mesh_build_ipNeighborhood()
call mesh_build_subNodeCoords()
call mesh_build_ipVolumes()
call mesh_build_ipAreas()
call mesh_tell_statistics()
close (fileUnit)
parallelExecution = (mesh_Nelems == mesh_NcpElems) ! plus potential killer from non-local constitutive
else
call IO_error(100) ! cannot open input file
endif
END SUBROUTINE
!***********************************************************
! mapping of FE element types to internal representation
!***********************************************************
FUNCTION FE_mapElemtype(what)
implicit none
character(len=*), intent(in) :: what
integer(pInt) FE_mapElemtype
select case (what)
case ('7', 'C3D8')
FE_mapElemtype = 1 ! Three-dimensional Arbitrarily Distorted Brick
case ('134')
FE_mapElemtype = 2 ! Three-dimensional Four-node Tetrahedron
case ('11')
FE_mapElemtype = 3 ! Arbitrary Quadrilateral Plane-strain
case ('27')
FE_mapElemtype = 4 ! Plane Strain, Eight-node Distorted Quadrilateral
case ('157')
FE_mapElemtype = 5 ! Three-dimensional, Low-order, Tetrahedron, Herrmann Formulations
case ('136')
FE_mapElemtype = 6 ! Three-dimensional Arbitrarily Distorted Pentahedral
case ('21')
FE_mapElemtype = 7 ! Three-dimensional Arbitrarily Distorted qudratic hexahedral
case default
FE_mapElemtype = 0 ! unknown element --> should raise an error upstream..!
end select
END FUNCTION
!***********************************************************
! FE to CP id mapping by binary search thru lookup array
!
! valid questions are 'elem', 'node'
!***********************************************************
FUNCTION mesh_FEasCP(what,id)
use prec, only: pInt
use IO, only: IO_lc
implicit none
character(len=*), intent(in) :: what
integer(pInt), intent(in) :: id
integer(pInt), dimension(:,:), pointer :: lookupMap
integer(pInt) mesh_FEasCP, lower,upper,center
mesh_FEasCP = 0_pInt
select case(IO_lc(what(1:4)))
case('elem')
lookupMap => mesh_mapFEtoCPelem
case('node')
lookupMap => mesh_mapFEtoCPnode
case default
return
end select
lower = 1_pInt
upper = size(lookupMap,2)
! check at bounds QUESTION is it valid to extend bounds by 1 and just do binary search w/o init check at bounds?
if (lookupMap(1,lower) == id) then
mesh_FEasCP = lookupMap(2,lower)
return
elseif (lookupMap(1,upper) == id) then
mesh_FEasCP = lookupMap(2,upper)
return
endif
! binary search in between bounds
do while (upper-lower > 1)
center = (lower+upper)/2
if (lookupMap(1,center) < id) then
lower = center
elseif (lookupMap(1,center) > id) then
upper = center
else
mesh_FEasCP = lookupMap(2,center)
exit
end if
end do
return
END FUNCTION
!***********************************************************
! find face-matching element of same type
!!***********************************************************
FUNCTION mesh_faceMatch(face,elem)
use prec, only: pInt
implicit none
integer(pInt) face,elem
integer(pInt) mesh_faceMatch
integer(pInt), dimension(FE_NfaceNodes(face,mesh_element(2,elem))) :: nodeMap
integer(pInt) minN,NsharedElems,lonelyNode,faceNode,i,n,t
minN = mesh_maxNsharedElems+1 ! init to worst case
mesh_faceMatch = 0_pInt ! intialize to "no match found"
t = mesh_element(2,elem) ! figure elemType
do faceNode=1,FE_NfaceNodes(face,t) ! loop over nodes on face
nodeMap(faceNode) = mesh_FEasCP('node',mesh_element(4+FE_nodeOnFace(faceNode,face,t),elem)) ! CP id of face node
NsharedElems = mesh_sharedElem(1,nodeMap(faceNode)) ! figure # shared elements for this node
if (NsharedElems < minN) then
minN = NsharedElems ! remember min # shared elems
lonelyNode = faceNode ! remember most lonely node
endif
end do
candidate: do i=1,minN ! iterate over lonelyNode's shared elements
mesh_faceMatch = mesh_sharedElem(1+i,nodeMap(lonelyNode)) ! present candidate elem
if (mesh_faceMatch == elem) then ! my own element ?
mesh_faceMatch = 0_pInt ! disregard
cycle candidate
endif
do faceNode=1,FE_NfaceNodes(face,t) ! check remaining face nodes to match
if (faceNode == lonelyNode) cycle ! disregard lonely node (matches anyway)
n = nodeMap(faceNode)
if (all(mesh_sharedElem(2:1+mesh_sharedElem(1,n),n) /= mesh_faceMatch)) then ! no ref to candidate elem?
mesh_faceMatch = 0_pInt ! set to "no match" (so far)
cycle candidate ! next candidate elem
endif
end do
exit ! surviving candidate
end do candidate
return
END FUNCTION
!********************************************************************
! get count of elements, nodes, and cp elements in mesh
! for subsequent array allocations
!
! assign globals:
! _Nelems, _Nnodes, _NcpElems
!********************************************************************
SUBROUTINE mesh_get_meshDimensions (unit)
use prec, only: pInt
use IO
implicit none
integer(pInt) unit,i,pos(41)
character*300 line
610 FORMAT(A300)
rewind(unit)
do
read (unit,610,END=620) line
pos = IO_stringPos(line,20)
select case ( IO_lc(IO_StringValue(line,pos,1)))
case('table')
if (pos(1) == 6) then
initialcondTableStyle = IO_IntValue (line,pos,4)
hypoelasticTableStyle = IO_IntValue (line,pos,5)
endif
case('sizing')
mesh_Nelems = IO_IntValue (line,pos,3)
mesh_Nnodes = IO_IntValue (line,pos,4)
case('define')
select case (IO_lc(IO_StringValue(line,pos,2)))
case('element') ! Count the number of encountered element sets
mesh_NelemSets=mesh_NelemSets+1
mesh_maxNelemInSet = max(mesh_maxNelemInSet,IO_countContinousIntValues(unit))
end select
case('hypoelastic')
do i=1,3+hypoelasticTableStyle ! Skip 3 or 4 lines
read (unit,610,END=620) line
end do
mesh_NcpElems = mesh_NcpElems + IO_countContinousIntValues(unit)
end select
end do
620 return
END SUBROUTINE
!!********************************************************************
! get maximum count of nodes, IPs, IP neighbors, and shared elements
! for subsequent array allocations
!
! assign globals:
! _maxNnodes, _maxNips, _maxNipNeighbors, _maxNsharedElems
!********************************************************************
SUBROUTINE mesh_get_nodeElemDimensions (unit)
use prec, only: pInt
use IO
implicit none
integer(pInt), dimension (mesh_Nnodes) :: node_count
integer(pInt), dimension (:), allocatable :: node_seen
integer(pInt) unit,i,j,n,t,e,NnodesStillToBeRead
integer(pInt), dimension (133) :: pos
character*300 line
610 FORMAT(A300)
node_count = 0_pInt
allocate(node_seen(maxval(FE_Nnodes)))
rewind(unit)
do
read (unit,610,END=630) line
pos = IO_stringPos(line,1)
if( IO_lc(IO_stringValue(line,pos,1)) == 'connectivity' ) then
read (unit,610,END=630) line ! Garbage line
readThisElement: do i=1,mesh_Nelems ! read all elements
NnodesStillToBeRead = -1_pInt ! number of nodes per element still to be read
do while (NnodesStillToBeRead /= 0)
read (unit,610,END=630) line
pos = IO_stringPos(line,2+FE_maxNnodes) ! limit to maximal number of nodes (plus ID, type)
if (NnodesStillToBeRead < 0) then ! first line of element with FE ID and element type
e = mesh_FEasCP('elem',IO_intValue(line,pos,1))
if (e < 1) exit readThisElement ! disregard non-CP elems
t = FE_mapElemtype(IO_StringValue(line,pos,2)) ! element type
NnodesStillToBeRead = FE_Nnodes(t)
mesh_maxNnodes = max(mesh_maxNnodes,FE_Nnodes(t))
mesh_maxNips = max(mesh_maxNips,FE_Nips(t))
mesh_maxNipNeighbors = max(mesh_maxNipNeighbors,FE_NipNeighbors(t))
mesh_maxNsubNodes = max(mesh_maxNsubNodes,FE_NsubNodes(t))
node_seen = 0_pInt
do j = 1,(pos(1)-2)
n = mesh_FEasCP('node',IO_IntValue (line,pos,j+2))
if (all(node_seen /= n)) then
node_count(n) = node_count(n)+1
end if
node_seen(j) = n
NnodesStillToBeRead = NnodesStillToBeRead - 1
end do
else ! all lines after the first just contain nodes
do j = 1,pos(1)
n = mesh_FEasCP('node',IO_IntValue (line,pos,j))
if (all(node_seen /= n)) then
node_count(n) = node_count(n)+1
end if
node_seen(FE_Nnodes(t)-NnodesStillToBeRead+1) = n
NnodesStillToBeRead = NnodesStillToBeRead - 1
end do
end if
end do
end do readThisElement
exit
end if
end do
630 mesh_maxNsharedElems = maxval(node_count)
return
END SUBROUTINE
!********************************************************************
! Build element set mapping
!
! allocate globals: mesh_nameElemSet, mesh_mapElemSet
!********************************************************************
SUBROUTINE mesh_build_elemSetMapping (unit)
use prec, only: pInt
use IO
implicit none
integer unit, elem_set
character*300 line
integer(pInt), dimension (9) :: pos ! count plus 4 entities on a line
610 FORMAT(A300)
allocate (mesh_nameElemSet(mesh_NelemSets))
allocate (mesh_mapElemSet(1+mesh_maxNelemInSet,mesh_NelemSets)) ; mesh_mapElemSet = 0_pInt
elem_set = 0_pInt
rewind(unit)
do
read (unit,610,END=640) line
pos = IO_stringPos(line,4)
if( (IO_lc(IO_stringValue(line,pos,1)) == 'define' ).and. &
(IO_lc(IO_stringValue(line,pos,2)) == 'element' ) )then
elem_set = elem_set+1
mesh_nameElemSet(elem_set) = IO_stringValue(line,pos,4)
mesh_mapElemSet(:,elem_set) = IO_continousIntValues(unit,mesh_maxNelemInSet,mesh_nameElemSet,mesh_mapElemSet,mesh_NelemSets)
end if
end do
640 return
END SUBROUTINE
!********************************************************************
! Build node mapping from FEM to CP
!
! allocate globals:
! _mapFEtoCPnode
!********************************************************************
SUBROUTINE mesh_build_nodeMapping (unit)
use prec, only: pInt
use math, only: qsort
use IO
implicit none
integer(pInt), dimension (mesh_Nnodes) :: node_count
integer(pInt) unit,i
integer(pInt), dimension (133) :: pos
character*300 line
610 FORMAT(A300)
allocate (mesh_mapFEtoCPnode(2,mesh_Nnodes)) ; mesh_mapFEtoCPnode = 0_pInt
node_count(:) = 0_pInt
rewind(unit)
do
read (unit,610,END=650) line
pos = IO_stringPos(line,1)
if( IO_lc(IO_stringValue(line,pos,1)) == 'coordinates' ) then
read (unit,610,END=650) line ! skip crap line
do i=1,mesh_Nnodes
read (unit,610,END=650) line
mesh_mapFEtoCPnode(1,i) = IO_fixedIntValue (line,(/0,10/),1)
mesh_mapFEtoCPnode(2,i) = i
end do
exit
end if
end do
650 call qsort(mesh_mapFEtoCPnode,1,size(mesh_mapFEtoCPnode,2))
return
END SUBROUTINE
!********************************************************************
! Build element mapping from FEM to CP
!
! allocate globals:
! _mapFEtoCPelem
!********************************************************************
SUBROUTINE mesh_build_elemMapping (unit)
use prec, only: pInt
use math, only: qsort
use IO
implicit none
integer unit, i,CP_elem
character*300 line
integer(pInt), dimension (3) :: pos
integer(pInt), dimension (1+mesh_NcpElems) :: contInts
610 FORMAT(A300)
allocate (mesh_mapFEtoCPelem(2,mesh_NcpElems)) ; mesh_mapFEtoCPelem = 0_pInt
CP_elem = 0_pInt
rewind(unit)
do
read (unit,610,END=660) line
pos = IO_stringPos(line,1)
if( IO_lc(IO_stringValue(line,pos,1)) == 'hypoelastic' ) then
do i=1,3+hypoelasticTableStyle ! skip three (or four if new table style!) lines
read (unit,610,END=660) line
end do
contInts = IO_continousIntValues(unit,mesh_NcpElems,mesh_nameElemSet,mesh_mapElemSet,mesh_NelemSets)
do i = 1,contInts(1)
CP_elem = CP_elem+1
mesh_mapFEtoCPelem(1,CP_elem) = contInts(1+i)
mesh_mapFEtoCPelem(2,CP_elem) = CP_elem
enddo
end if
end do
660 call qsort(mesh_mapFEtoCPelem,1,size(mesh_mapFEtoCPelem,2)) ! should be mesh_NcpElems
return
END SUBROUTINE
!********************************************************************
! store x,y,z coordinates of all nodes in mesh
!
! allocate globals:
! _node
!********************************************************************
SUBROUTINE mesh_build_nodes (unit)
use prec, only: pInt
use IO
implicit none
integer unit,i,j,m
integer(pInt), dimension(3) :: pos
integer(pInt), dimension(5), parameter :: node_ends = (/0,10,30,50,70/)
character*300 line
allocate ( mesh_node (3,mesh_Nnodes) )
mesh_node(:,:) = 0_pInt
610 FORMAT(A300)
rewind(unit)
do
read (unit,610,END=670) line
pos = IO_stringPos(line,1)
if( IO_lc(IO_stringValue(line,pos,1)) == 'coordinates' ) then
read (unit,610,END=670) line ! skip crap line
do i=1,mesh_Nnodes
read (unit,610,END=670) line
m = mesh_FEasCP('node',IO_fixedIntValue (line,node_ends,1))
do j=1,3
mesh_node(j,m) = IO_fixedNoEFloatValue (line,node_ends,j+1)
end do
end do
exit
end if
end do
670 return
END SUBROUTINE
!********************************************************************
! store FEid, type, mat, tex, and node list per element
!
! allocate globals:
! _element
!********************************************************************
SUBROUTINE mesh_build_elements (unit)
use prec, only: pInt
use IO
implicit none
integer unit,e,i,j,sv,val,NnodesStillToBeRead
integer, parameter :: maxNchunks = 2+FE_maxNnodes
integer(pInt), dimension(1+2*maxNchunks) :: pos
integer(pInt), dimension(1+mesh_NcpElems) :: contInts
character*300 line
allocate (mesh_element (4+mesh_maxNnodes,mesh_NcpElems)) ; mesh_element = 0_pInt
610 FORMAT(A300)
rewind(unit)
do
read (unit,610,END=680) line
pos = IO_stringPos(line,2)
if( IO_lc(IO_stringValue(line,pos,1)) == 'connectivity' ) then
read (unit,610,END=680) line ! Garbage line
readThisElement: do i=1,mesh_Nelems
NnodesStillToBeRead = -1_pInt ! number of nodes per element still to be read
do while (NnodesStillToBeRead /= 0)
read (unit,610,END=680) line
pos = IO_stringPos(line,2+FE_maxNnodes) ! limit to maximal number of nodes (plus ID, type)
if (NnodesStillToBeRead < 0) then ! first line of element with FE ID and element type
e = mesh_FEasCP('elem',IO_intValue(line,pos,1))
if (e < 1) exit readThisElement ! disregard non-CP elems
mesh_element(1,e) = IO_IntValue(line,pos,1) ! FE id
mesh_element(2,e) = FE_mapElemtype(IO_StringValue(line,pos,2)) ! elem type
NnodesStillToBeRead = FE_Nnodes(mesh_element(2,e))
do j = 1,(pos(1)-2)
mesh_element(j+4,e) = IO_IntValue(line,pos,j+2) ! copy FE ids of nodes
NnodesStillToBeRead = NnodesStillToBeRead - 1
end do
else ! all lines after the first just contain nodes
do j = 1,pos(1)
mesh_element(FE_Nnodes(mesh_element(2,e))-NnodesStillToBeRead+5,e) = IO_IntValue(line,pos,j) ! copy FE ids of nodes
NnodesStillToBeRead = NnodesStillToBeRead - 1
end do
end if
end do
end do readThisElement
exit
end if
end do
rewind(unit) ! just in case "initial state" apears before "connectivity"
read (unit,610,END=680) line
do
pos = IO_stringPos(line,2)
if( (IO_lc(IO_stringValue(line,pos,1)) == 'initial').and. &
(IO_lc(IO_stringValue(line,pos,2)) == 'state') ) then
if (initialcondTableStyle == 2) read (unit,610,END=680) line ! read extra line for new style
read (unit,610,END=680) line ! read line with index of state var
pos = IO_stringPos(line,1)
sv = IO_IntValue (line,pos,1) ! figure state variable index
if( (sv == 2).or.(sv == 3) ) then ! only state vars 2 and 3 of interest
read (unit,610,END=680) line ! read line with value of state var
pos = IO_stringPos(line,1)
do while (scan(IO_stringValue(line,pos,1),'+-',back=.true.)>1) ! is noEfloat value?
val = NINT(IO_fixedNoEFloatValue (line,(/0,20/),1)) ! state var's value
mesh_maxValStateVar(sv-1) = max(val,mesh_maxValStateVar(sv-1)) ! remember max val of material and texture index
if (initialcondTableStyle == 2) then
read (unit,610,END=680) line ! read extra line
read (unit,610,END=680) line ! read extra line
end if
contInts = IO_continousIntValues(unit,mesh_Nelems,mesh_nameElemSet,mesh_mapElemSet,mesh_NelemSets) ! get affected elements
do i = 1,contInts(1)
e = mesh_FEasCP('elem',contInts(1+i))
mesh_element(1+sv,e) = val
end do
if (initialcondTableStyle == 0) read (unit,610,END=680) line ! ignore IP range for old table style
read (unit,610,END=680) line
pos = IO_stringPos(line,1)
end do
end if
else
read (unit,610,END=680) line
end if
end do
680 return
END SUBROUTINE
!********************************************************************
! build list of elements shared by each node in mesh
!
! allocate globals:
! _sharedElem
!********************************************************************
SUBROUTINE mesh_build_sharedElems (unit)
use prec, only: pInt
use IO
implicit none
integer(pint) unit,i,j,n,e,t,NnodesStillToBeRead
integer(pInt), dimension (133) :: pos
integer(pInt), dimension (:), allocatable :: node_seen
character*300 line
610 FORMAT(A300)
allocate(node_seen(maxval(FE_Nnodes)))
allocate ( mesh_sharedElem( 1+mesh_maxNsharedElems,mesh_Nnodes) )
mesh_sharedElem(:,:) = 0_pInt
rewind(unit)
do
read (unit,610,END=690) line
pos = IO_stringPos(line,1)
if( IO_lc(IO_stringValue(line,pos,1)) == 'connectivity' ) then
read (unit,610,END=690) line ! Garbage line
readThisElement: do i=1,mesh_Nelems ! read all elements
NnodesStillToBeRead = -1_pInt ! number of nodes per element still to be read
do while (NnodesStillToBeRead /= 0)
read (unit,610,END=690) line
pos = IO_stringPos(line,2+FE_maxNnodes) ! limit to maximal number of nodes (plus ID, type)
if (NnodesStillToBeRead < 0) then ! first line of element with FE ID and element type
e = mesh_FEasCP('elem',IO_intValue(line,pos,1))
if (e < 1) exit readThisElement ! disregard non-CP elems
t = FE_mapElemtype(IO_StringValue(line,pos,2)) ! element type
NnodesStillToBeRead = FE_Nnodes(t)
node_seen = 0_pInt
do j = 1,(pos(1)-2)
n = mesh_FEasCP('node',IO_IntValue (line,pos,j+2))
if (all(node_seen /= n)) then
mesh_sharedElem(1,n) = mesh_sharedElem(1,n) + 1
mesh_sharedElem(1+mesh_sharedElem(1,n),n) = e
end if
node_seen(j) = n
NnodesStillToBeRead = NnodesStillToBeRead - 1
end do
else
do j = 1,pos(1)
n = mesh_FEasCP('node',IO_IntValue (line,pos,j))
if (all(node_seen /= n)) then
mesh_sharedElem(1,n) = mesh_sharedElem(1,n) + 1
mesh_sharedElem(1+mesh_sharedElem(1,n),n) = e
end if
node_seen(FE_Nnodes(t)-NnodesStillToBeRead+1) = n
NnodesStillToBeRead = NnodesStillToBeRead - 1
end do
end if
end do
end do readThisElement
exit
end if
end do
690 return
END SUBROUTINE
!***********************************************************
! build up of IP neighborhood
!
! allocate globals
! _ipNeighborhood
!***********************************************************
SUBROUTINE mesh_build_ipNeighborhood()
use prec, only: pInt
implicit none
integer(pInt) e,t,i,j,k,n
integer(pInt) neighbor,neighboringElem,neighboringIP,matchingElem
integer(pInt), dimension(2) :: linkedNode = 0_pInt
allocate(mesh_ipNeighborhood(2,mesh_maxNipNeighbors,mesh_maxNips,mesh_NcpElems)) ; mesh_ipNeighborhood = 0_pInt
do e = 1,mesh_NcpElems ! loop over cpElems
t = mesh_element(2,e) ! get elemType
do i = 1,FE_Nips(t) ! loop over IPs of elem
do n = 1,FE_NipNeighbors(t) ! loop over neighbors of IP
neighbor = FE_ipNeighbor(n,i,t)
if (neighbor > 0) then ! intra-element IP
neighboringElem = e
neighboringIP = neighbor
else ! neighboring element's IP
neighboringElem = 0_pInt
neighboringIP = 0_pInt
matchingElem = mesh_faceMatch(-neighbor,e) ! get CP elem id of face match
if (matchingElem > 0 .and. mesh_element(2,matchingElem) == t) then ! found match of same type?
if (FE_nodesAtIP(2,1,i,t) == 0) then ! single linked node
matchNode1: do j = 1,FE_Nnodes(t) ! check against all neighbor's nodes
if (mesh_element(4+FE_nodesAtIP(1,1,i,t),e)==mesh_element(4+j,matchingElem)) then
linkedNode(1) = j ! which neighboring node matches my first nodeAtIP (indexed globally)
linkedNode(2) = 0_pInt
exit matchNode1
endif
enddo matchNode1
matchFace1: do j = 1,FE_Nips(t)
if ((linkedNode(1) == FE_nodesAtIP(1,1,j,t)) .and. (FE_nodesAtIP(2,1,j,t) == 0))then
neighboringElem = matchingElem
neighboringIP = j
exit matchFace1
endif
enddo matchFace1
else ! double linked node
matchNode2: do j = 1,FE_Nnodes(t) ! check against all neighbor's nodes
if (mesh_element(4+FE_nodesAtIP(1,1,i,t),e)==mesh_element(4+j,matchingElem)) linkedNode(1) = j ! which neighboring node matches my first nodeAtIP (indexed globally)
if (mesh_element(4+FE_nodesAtIP(2,1,i,t),e)==mesh_element(4+j,matchingElem)) linkedNode(2) = j ! which neighboring node matches my second nodeAtIP (indexed globally)
enddo matchNode2
matchFace2: do j = 1,FE_Nips(t)
if ((linkedNode(1) == FE_nodesAtIP(1,1,j,t) .and. linkedNode(2) == FE_nodesAtIP(2,1,j,t)) .or. &
(linkedNode(1) == FE_nodesAtIP(2,1,j,t) .and. linkedNode(2) == FE_nodesAtIP(1,1,j,t)) .or. &
(linkedNode(1) == FE_nodesAtIP(1,2,j,t) .and. linkedNode(2) == FE_nodesAtIP(2,2,j,t)) .or. &
(linkedNode(1) == FE_nodesAtIP(2,2,j,t) .and. linkedNode(2) == FE_nodesAtIP(1,2,j,t))) then
neighboringElem = matchingElem
neighboringIP = j
exit matchFace2
endif
enddo matchFace2
endif
endif
endif
mesh_ipNeighborhood(1,n,i,e) = neighboringElem
mesh_ipNeighborhood(2,n,i,e) = neighboringIP
enddo
enddo
enddo
return
END SUBROUTINE
!***********************************************************
! assignment of coordinates for subnodes in each cp element
!
! allocate globals
! _subNodeCoord
!***********************************************************
SUBROUTINE mesh_build_subNodeCoords()
use prec, only: pInt,pReal
implicit none
integer(pInt) e,t,n,p
allocate(mesh_subNodeCoord(3,mesh_maxNnodes+mesh_maxNsubNodes,mesh_NcpElems)) ; mesh_subNodeCoord = 0.0_pReal
do e = 1,mesh_NcpElems ! loop over cpElems
t = mesh_element(2,e) ! get elemType
do n = 1,FE_Nnodes(t)
mesh_subNodeCoord(:,n,e) = mesh_node(:,mesh_FEasCP('node',mesh_element(4+n,e))) ! loop over nodes of this element type
enddo
do n = 1,FE_NsubNodes(t) ! now for the true subnodes
do p = 1,FE_Nips(t) ! loop through parents
if (FE_subNodeParent(p,n,t) > 0) & ! valid parent node
mesh_subNodeCoord(:,n+FE_Nnodes(t),e) = &
mesh_subNodeCoord(:,n+FE_Nnodes(t),e) + &
mesh_node(:,mesh_FEasCP('node',mesh_element(4+FE_subNodeParent(p,n,t),e))) ! add up parents
enddo
mesh_subNodeCoord(:,n+FE_Nnodes(t),e) = mesh_subNodeCoord(:,n+FE_Nnodes(t),e) / count(FE_subNodeParent(:,n,t) > 0)
enddo
enddo
return
END SUBROUTINE
!***********************************************************
! calculation of IP volume
!
! allocate globals
! _ipVolume
!***********************************************************
SUBROUTINE mesh_build_ipVolumes()
use prec, only: pInt
use math, only: math_volTetrahedron
implicit none
integer(pInt) e,f,t,i,j,k,n,test
integer(pInt), parameter :: Ntriangles = FE_NipFaceNodes-2 ! each interface is made up of this many triangles
integer(pInt), dimension(mesh_maxNnodes+mesh_maxNsubNodes) :: gravityNode ! flagList to find subnodes determining center of grav
real(pReal), dimension(3,mesh_maxNnodes+mesh_maxNsubNodes) :: gravityNodePos ! coordinates of subnodes determining center of grav
real(pReal), dimension (3,FE_NipFaceNodes) :: nPos ! coordinates of nodes on IP face
real(pReal), dimension(Ntriangles,FE_NipFaceNodes) :: volume ! volumes of possible tetrahedra
real(pReal), dimension(3) :: centerOfGravity
allocate(mesh_ipVolume(mesh_maxNips,mesh_NcpElems)) ; mesh_ipVolume = 0.0_pReal
write(6,'(a10,x,a20,x,a20,x,a25,3(x,a6))') 'FE_Nips','FE_NipNeighbors','FE_NipFaceNodes','FE_subNodeOnIPFace','x','y','z'
do e = 1,mesh_NcpElems ! loop over cpElems
t = mesh_element(2,e) ! get elemType
do i = 1,FE_Nips(t) ! loop over IPs of elem
gravityNode = 0_pInt ! reset flagList
gravityNodePos = 0.0_pReal ! reset coordinates
do f = 1,FE_NipNeighbors(t) ! loop over interfaces of IP
do n = 1,FE_NipFaceNodes ! loop over nodes on interface
gravityNode(FE_subNodeOnIPFace(n,f,i,t)) = 1
gravityNodePos(:,FE_subNodeOnIPFace(n,f,i,t)) = mesh_subNodeCoord(:,FE_subNodeOnIPFace(n,f,i,t),e)
write(6,'(i10,x,i20,x,i20,x,i25,3(x,f6.3))') i,f,n,FE_subNodeOnIPFace(n,f,i,t),&
mesh_subNodeCoord(1,FE_subNodeOnIPFace(n,f,i,t),e),&
mesh_subNodeCoord(2,FE_subNodeOnIPFace(n,f,i,t),e),&
mesh_subNodeCoord(3,FE_subNodeOnIPFace(n,f,i,t),e)
end do
end do
do j = 1,mesh_maxNnodes+mesh_maxNsubNodes-1 ! walk through entire flagList except last
if (gravityNode(j) > 0_pInt) then ! valid node index
do k = j+1,mesh_maxNnodes+mesh_maxNsubNodes ! walk through remainder of list
if (all((gravityNodePos(:,j) - gravityNodePos(:,k)) == 0.0_pReal)) then ! found match
gravityNode(j) = 0_pInt ! delete first instance
gravityNodePos(:,j) = 0.0_pReal
exit ! continue with next suspect
end if
end do
end if
end do
centerOfGravity = sum(gravityNodePos,2)/count(gravityNode > 0)
do f = 1,FE_NipNeighbors(t) ! loop over interfaces of IP and add tetrahedra which connect to CoG
forall (n = 1:FE_NipFaceNodes) nPos(:,n) = mesh_subNodeCoord(:,FE_subNodeOnIPFace(n,f,i,t),e)
forall (n = 1:FE_NipFaceNodes, j = 1:Ntriangles) & ! start at each interface node and build valid triangles to cover interface
volume(j,n) = math_volTetrahedron(nPos(:,n), & ! calc volume of respective tetrahedron to CoG
nPos(:,1+mod(n+j-1,FE_NipFaceNodes)), &
nPos(:,1+mod(n+j-0,FE_NipFaceNodes)), &
centerOfGravity)
mesh_ipVolume(i,e) = mesh_ipVolume(i,e) + sum(volume) ! add contribution from this interface
end do
mesh_ipVolume(i,e) = mesh_ipVolume(i,e) / FE_NipFaceNodes ! renormalize with interfaceNodeNum due to loop over them
end do
end do
return
END SUBROUTINE
!***********************************************************
! calculation of IP interface areas
!
! allocate globals
! _ipArea, _ipAreaNormal
!***********************************************************
SUBROUTINE mesh_build_ipAreas()
use prec, only: pInt,pReal
use math
implicit none
integer(pInt) e,f,t,i,j,n
integer(pInt), parameter :: Ntriangles = FE_NipFaceNodes-2 ! each interface is made up of this many triangles
real(pReal), dimension (3,FE_NipFaceNodes) :: nPos ! coordinates of nodes on IP face
real(pReal), dimension(3,Ntriangles,FE_NipFaceNodes) :: normal
real(pReal), dimension(Ntriangles,FE_NipFaceNodes) :: area
allocate(mesh_ipArea(mesh_maxNipNeighbors,mesh_maxNips,mesh_NcpElems)) ; mesh_ipArea = 0.0_pReal
allocate(mesh_ipAreaNormal(3,mesh_maxNipNeighbors,mesh_maxNips,mesh_NcpElems)) ; mesh_ipAreaNormal = 0.0_pReal
do e = 1,mesh_NcpElems ! loop over cpElems
t = mesh_element(2,e) ! get elemType
do i = 1,FE_Nips(t) ! loop over IPs of elem
do f = 1,FE_NipNeighbors(t) ! loop over interfaces of IP
forall (n = 1:FE_NipFaceNodes) nPos(:,n) = mesh_subNodeCoord(:,FE_subNodeOnIPFace(n,f,i,t),e)
forall (n = 1:FE_NipFaceNodes, j = 1:Ntriangles) ! start at each interface node and build valid triangles to cover interface
normal(:,j,n) = math_vectorproduct(nPos(:,1+mod(n+j-1,FE_NipFaceNodes)) - nPos(:,n), & ! calc their normal vectors
nPos(:,1+mod(n+j-0,FE_NipFaceNodes)) - nPos(:,n))
area(j,n) = dsqrt(sum(normal(:,j,n)*normal(:,j,n))) ! and area
end forall
forall (n = 1:FE_NipFaceNodes, j = 1:Ntriangles, area(j,n) > 0.0_pReal) &
normal(:,j,n) = normal(:,j,n) / area(j,n) ! make unit normal
mesh_ipArea(f,i,e) = sum(area) / (FE_NipFaceNodes*2.0_pReal) ! area of parallelograms instead of triangles
mesh_ipAreaNormal(:,f,i,e) = sum(sum(normal,3),2) / count(area > 0.0_pReal) ! average of all valid normals
enddo
enddo
enddo
return
END SUBROUTINE
!***********************************************************
! write statistics regarding input file parsing
! to the output file
!
!***********************************************************
SUBROUTINE mesh_tell_statistics()
use prec, only: pInt
use math, only: math_range
use IO, only: IO_error
implicit none
integer(pInt), dimension (:,:), allocatable :: mesh_HomogMicro
character(len=64) fmt
integer(pInt) i,e,n,f,t
if (mesh_maxValStateVar(1) == 0) call IO_error(110) ! no materials specified
if (mesh_maxValStateVar(2) == 0) call IO_error(120) ! no textures specified
allocate (mesh_HomogMicro(mesh_maxValStateVar(1),mesh_maxValStateVar(2))); mesh_HomogMicro = 0_pInt
do i=1,mesh_NcpElems
mesh_HomogMicro(mesh_element(3,i),mesh_element(4,i)) = &
mesh_HomogMicro(mesh_element(3,i),mesh_element(4,i)) + 1 ! count combinations of homogenization and microstructure
enddo
!$OMP CRITICAL (write2out)
write (6,*)
write (6,*) "Input Parser: IP NEIGHBORHOOD"
write (6,*)
write (6,"(a10,x,a10,x,a10,x,a3,x,a13,x,a13)") "elem","IP","neighbor","","elemNeighbor","ipNeighbor"
do e = 1,mesh_NcpElems ! loop over cpElems
t = mesh_element(2,e) ! get elemType
do i = 1,FE_Nips(t) ! loop over IPs of elem
do n = 1,FE_NipNeighbors(t) ! loop over neighbors of IP
write (6,"(i10,x,i10,x,i10,x,a3,x,i13,x,i13)") e,i,n,'-->',mesh_ipNeighborhood(1,n,i,e),mesh_ipNeighborhood(2,n,i,e)
enddo
enddo
enddo
write (6,*)
write (6,"(a13,x,e15.8)") "total volume", sum(mesh_ipVolume)
write (6,*)
write (6,"(a5,x,a5,x,a15,x,a5,x,a15,x,a16)") "elem","IP","volume","face","area","-- normal --"
do e = 1,mesh_NcpElems
do i = 1,FE_Nips(mesh_element(2,e))
write (6,"(i5,x,i5,x,e15.8)") e,i,mesh_IPvolume(i,e)
do f = 1,FE_NipNeighbors(mesh_element(2,e))
! write (6,"(i33,x,e15.8,x,3(f6.3,x))") f,mesh_ipArea(f,i,e),mesh_ipAreaNormal(:,f,i,e)
enddo
enddo
enddo
write (6,*)
write (6,*) "Input Parser: STATISTICS"
write (6,*)
write (6,*) mesh_Nelems, " : total number of elements in mesh"
write (6,*) mesh_NcpElems, " : total number of CP elements in mesh"
write (6,*) mesh_Nnodes, " : total number of nodes in mesh"
write (6,*) mesh_maxNnodes, " : max number of nodes in any CP element"
write (6,*) mesh_maxNips, " : max number of IPs in any CP element"
write (6,*) mesh_maxNipNeighbors, " : max number of IP neighbors in any CP element"
write (6,*) mesh_maxNsubNodes, " : max number of (additional) subnodes in any CP element"
write (6,*) mesh_maxNsharedElems, " : max number of CP elements sharing a node"
write (6,*)
write (6,*) "Input Parser: HOMOGENIZATION/MICROSTRUCTURE"
write (6,*)
write (6,*) mesh_maxValStateVar(1), " : maximum homogenization index"
write (6,*) mesh_maxValStateVar(2), " : maximum microstructure index"
write (6,*)
write (fmt,"(a,i5,a)") "(9(x),a1,x,",mesh_maxValStateVar(2),"(i8))"
write (6,fmt) "+",math_range(mesh_maxValStateVar(2))
write (fmt,"(a,i5,a)") "(i8,x,a1,x,",mesh_maxValStateVar(2),"(i8))"
do i=1,mesh_maxValStateVar(1) ! loop over all (possibly assigned) homogenizations
write (6,fmt) i,"|",mesh_HomogMicro(i,:) ! loop over all (possibly assigned) microstrcutures
enddo
write (6,*)
!$OMP END CRITICAL (write2out)
return
END SUBROUTINE
END MODULE mesh
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