!############################################################## 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, & 2, 3, 7, 6, 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, 8, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 1, 4, 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, & 5, 6, 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, & 1, 2, 3, 4, 5, 6, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, & 0, 0, 0, 0, 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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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