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41 results

Pos_Element.cpp

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    • Pos_Element.cpp 43.36 KiB 
    // GetDP - Copyright (C) 1997-2018 P. Dular and C. Geuzaine, University of Liege
//
// See the LICENSE.txt file for license information. Please report all
// bugs and problems to the public mailing list <getdp@onelab.info>.
//
// Contributor(s):
//   Christophe Trophime
//

#include <math.h>
#include "Pos_Element.h"
#include "GeoData.h"
#include "Get_Geometry.h"
#include "Get_DofOfElement.h"
#include "Cal_Value.h"
#include "MallocUtils.h"
#include "Message.h"

extern struct CurrentData Current ;

/* ------------------------------------------------------------------------ */
/*  Create/Destroy/Compare                                                  */
/* ------------------------------------------------------------------------ */

void Alloc_PostElement(struct PostElement * PostElement)
{
  PostElement->NumNodes = (int *) Malloc(PostElement->NbrNodes * sizeof(int)) ;
  /* allocate as much as possible in one step */
  PostElement->u = (double *) Malloc(6 * PostElement->NbrNodes * sizeof(double)) ;
  PostElement->v = &PostElement->u[PostElement->NbrNodes] ;
  PostElement->w = &PostElement->u[2*PostElement->NbrNodes] ;
  PostElement->x = &PostElement->u[3*PostElement->NbrNodes] ;
  PostElement->y = &PostElement->u[4*PostElement->NbrNodes] ;
  PostElement->z = &PostElement->u[5*PostElement->NbrNodes] ;
  PostElement->Value = (struct Value *)
    Malloc(PostElement->NbrNodes * sizeof(struct Value)) ;
}

struct PostElement * Create_PostElement(int Index, int Type,
					int NbrNodes, int Depth)
{
  struct PostElement * PostElement ;

  PostElement = (struct PostElement *) Malloc(sizeof(struct PostElement)) ;
  PostElement->Index = Index ;
  PostElement->Type = Type ;
  PostElement->Depth = Depth ;
  PostElement->NbrNodes = NbrNodes ;
  if(NbrNodes > 0) Alloc_PostElement(PostElement);

  return PostElement ;
}

void Destroy_PostElement(struct PostElement * PostElement)
{
  if(PostElement->NbrNodes > 0){
    Free(PostElement->NumNodes) ;
    if(PostElement->u) Free(PostElement->u); /* normal case */
    else if(PostElement->x) Free(PostElement->x); /* partial copy */
    Free(PostElement->Value) ;
  }
  Free(PostElement) ;
}

struct PostElement * NodeCopy_PostElement(struct PostElement *PostElement)
{
  struct PostElement * Copy ;
  int i ;

  Copy = (struct PostElement *) Malloc(sizeof(struct PostElement)) ;
      Copy->Index = PostElement->Index ;
  Copy->Type = PostElement->Type ;
  Copy->Depth = PostElement->Depth ;
  Copy->NbrNodes = PostElement->NbrNodes ;
  if(Copy->NbrNodes > 0){
    Alloc_PostElement(Copy);
    for(i = 0 ; i < Copy->NbrNodes ; i++){
      Copy->NumNodes[i] = PostElement->NumNodes[i];
      Copy->u[i] = PostElement->u[i] ;
      Copy->v[i] = PostElement->v[i] ;
      Copy->w[i] = PostElement->w[i] ;
      Copy->x[i] = PostElement->x[i] ;
      Copy->y[i] = PostElement->y[i] ;
      Copy->z[i] = PostElement->z[i] ;
    }
  }

  return Copy ;
}

struct PostElement * PartialCopy_PostElement(struct PostElement *PostElement)
{
  struct PostElement * Copy ;
  int i ;

  Copy = (struct PostElement *) Malloc(sizeof(struct PostElement)) ;
  Copy->Index = PostElement->Index ;
  Copy->Type = PostElement->Type ;
  Copy->Depth = PostElement->Depth ;
  Copy->NbrNodes = PostElement->NbrNodes ;
  if(Copy->NbrNodes > 0){
    Copy->NumNodes = NULL ;
    Copy->u = Copy->v = Copy->w = NULL ;
    /* allocate as much as possible in one step */
    Copy->x = (double *) Malloc(3* Copy->NbrNodes * sizeof(double)) ;
    Copy->y = &Copy->x[Copy->NbrNodes];
    Copy->z = &Copy->x[2 * Copy->NbrNodes];
    Copy->Value = (struct Value *) Malloc(Copy->NbrNodes * sizeof(struct Value)) ;
    for(i = 0 ; i < Copy->NbrNodes ; i++){
      Copy->x[i] = PostElement->x[i] ;
      Copy->y[i] = PostElement->y[i] ;
      Copy->z[i] = PostElement->z[i] ;
      Cal_CopyValue(&PostElement->Value[i], &Copy->Value[i]);
    }
  }

  return Copy ;
}

/* 2 PostElements never have the same barycenter unless they are identical */

int fcmp_PostElement(const void *a, const void *b)
{
  struct PostElement *PE1, *PE2 ;
  double s1, s2, TOL=Current.GeoData->CharacteristicLength * 1.e-12 ;
  int i;

  PE1 = *(struct PostElement**)a; PE2 = *(struct PostElement**)b;

  if(PE1->NbrNodes != PE2->NbrNodes)
    return PE1->NbrNodes - PE2->NbrNodes;

  s1 = s2 = 0.0 ;
  for(i=0;i<PE1->NbrNodes;i++){ s1 += PE1->x[i]; s2 += PE2->x[i]; }
  if(s1-s2 > TOL) return 1; else if(s1-s2 < -TOL) return -1;

  s1 = s2 = 0.0 ;
  for(i=0;i<PE1->NbrNodes;i++){ s1 += PE1->y[i]; s2 += PE2->y[i]; }
  if(s1-s2 > TOL) return 1; else if(s1-s2 < -TOL) return -1;

      s1 = s2 = 0.0 ;
  for(i=0;i<PE1->NbrNodes;i++){ s1 += PE1->z[i]; s2 += PE2->z[i]; }
  if(s1-s2 > TOL) return 1; else if(s1-s2 < -TOL) return -1;

  return 0;
}

int fcmp_PostElement_v0(const void *a, const void *b)
{
  return (int)( (*(struct PostElement**)a)->v[0] -
		(*(struct PostElement**)b)->v[0] ) ;
}

int fcmp_PostElement_absu0(const void *a, const void *b)
{
  return (int)( fabs((*(struct PostElement**)b)->u[0]) -
		fabs((*(struct PostElement**)a)->u[0]) ) ;
}

/* ------------------------------------------------------------------------ */
/*  C u t _ P o s t E l e m e n t                                           */
/* ------------------------------------------------------------------------ */

void Cut_PostElement(struct PostElement * PE, struct Geo_Element * GE,
		     List_T * PE_L, int Index, int Depth, int Skin,
		     int DecomposeInSimplex)
{
  struct  Element      E ;
  struct  PostElement  * C[8] ;

  double  u01, u02, u03, u12, u13, u23 ;
  double  v01, v02, v03, v12, v13, v23 ;
  double  w01, w02, w03, w12, w13, w23 ;
  int     i, j, NbCut = 0 ;

  /* Recursive division */

  if(PE->Depth < Depth){

    switch(PE->Type){

    case POINT :
      Message::Error("Impossible to divide a Point recursively");
      break;

    case LINE :
    case LINE_2 :
      u01 = .5 * (PE->u[0] + PE->u[1]);
      v01 = .5 * (PE->v[0] + PE->v[1]);
      w01 = .5 * (PE->w[0] + PE->w[1]);

      C[0] = Create_PostElement(Index, LINE, 2, PE->Depth) ;
      C[0]->u[0] = PE->u[0] ; C[0]->v[0] = PE->v[0] ; C[0]->w[0] = PE->w[0] ;
      C[0]->u[1] = u01      ; C[0]->v[1] = v01      ; C[0]->w[1] = w01      ;

      C[1] = PE ;
      C[1]->u[0] = u01      ; C[1]->v[0] = v01      ; C[1]->w[0] = w01      ;

      NbCut = 2 ;
      break;

    case TRIANGLE :
    case TRIANGLE_2 :
      u01 = .5 * (PE->u[0] + PE->u[1]); u02 = .5 * (PE->u[0] + PE->u[2]);
      v01 = .5 * (PE->v[0] + PE->v[1]);	v02 = .5 * (PE->v[0] + PE->v[2]);
      w01 = .5 * (PE->w[0] + PE->w[1]);	w02 = .5 * (PE->w[0] + PE->w[2]);

      u12 = .5 * (PE->u[1] + PE->u[2]);
      v12 = .5 * (PE->v[1] + PE->v[2]);
      w12 = .5 * (PE->w[1] + PE->w[2]);
    
      C[0] = Create_PostElement(Index, TRIANGLE, 3, PE->Depth) ;
      C[0]->u[0] = PE->u[0] ; C[0]->v[0] = PE->v[0] ; C[0]->w[0] = PE->w[0] ;
      C[0]->u[1] = u01      ; C[0]->v[1] = v01      ; C[0]->w[1] = w01      ;
      C[0]->u[2] = u02      ; C[0]->v[2] = v02      ; C[0]->w[2] = w02      ;

      C[1] = Create_PostElement(Index, TRIANGLE, 3, PE->Depth) ;
      C[1]->u[0] = u01      ; C[1]->v[0] = v01      ; C[1]->w[0] = w01      ;
      C[1]->u[1] = PE->u[1] ; C[1]->v[1] = PE->v[1] ; C[1]->w[1] = PE->w[1] ;
      C[1]->u[2] = u12      ; C[1]->v[2] = v12      ; C[1]->w[2] = w12      ;

      C[2] = Create_PostElement(Index, TRIANGLE, 3, PE->Depth) ;
      C[2]->u[0] = u02      ; C[2]->v[0] = v02      ; C[2]->w[0] = w02      ;
      C[2]->u[1] = u12      ; C[2]->v[1] = v12      ; C[2]->w[1] = w12      ;
      C[2]->u[2] = PE->u[2] ; C[2]->v[2] = PE->v[2] ; C[2]->w[2] = PE->w[2] ;

      C[3] = PE ;
      C[3]->u[0] = u01      ; C[3]->v[0] = v01      ; C[3]->w[0] = w01      ;
      C[3]->u[1] = u12      ; C[3]->v[1] = v12      ; C[3]->w[1] = w12      ;
      C[3]->u[2] = u02      ; C[3]->v[2] = v02      ; C[3]->w[2] = w02      ;

      NbCut = 4 ;
      break;

    case TETRAHEDRON :
      u01 = .5 * (PE->u[0] + PE->u[1]); u02 = .5 * (PE->u[0] + PE->u[2]);
      v01 = .5 * (PE->v[0] + PE->v[1]);	v02 = .5 * (PE->v[0] + PE->v[2]);
      w01 = .5 * (PE->w[0] + PE->w[1]);	w02 = .5 * (PE->w[0] + PE->w[2]);

      u03 = .5 * (PE->u[0] + PE->u[3]); u12 = .5 * (PE->u[1] + PE->u[2]);
      v03 = .5 * (PE->v[0] + PE->v[3]); v12 = .5 * (PE->v[1] + PE->v[2]);
      w03 = .5 * (PE->w[0] + PE->w[3]); w12 = .5 * (PE->w[1] + PE->w[2]);

      u13 = .5 * (PE->u[1] + PE->u[3]); u23 = .5 * (PE->u[2] + PE->u[3]);
      v13 = .5 * (PE->v[1] + PE->v[3]);	v23 = .5 * (PE->v[2] + PE->v[3]);
      w13 = .5 * (PE->w[1] + PE->w[3]);	w23 = .5 * (PE->w[2] + PE->w[3]);

      C[0] = Create_PostElement(Index, TETRAHEDRON, 4, PE->Depth) ;
      C[0]->u[0] = PE->u[0] ; C[0]->v[0] = PE->v[0] ; C[0]->w[0] = PE->w[0] ;
      C[0]->u[1] = u01     ; C[0]->v[1] = v01     ; C[0]->w[1] = w01     ;
      C[0]->u[2] = u02     ; C[0]->v[2] = v02     ; C[0]->w[2] = w02     ;
      C[0]->u[3] = u03     ; C[0]->v[3] = v03     ; C[0]->w[3] = w03     ;

      C[1] = Create_PostElement(Index, TETRAHEDRON, 4, PE->Depth) ;
      C[1]->u[0] = PE->u[1] ; C[1]->v[0] = PE->v[1] ; C[1]->w[0] = PE->w[1] ;
      C[1]->u[1] = u01     ; C[1]->v[1] = v01     ; C[1]->w[1] = w01     ;
      C[1]->u[2] = u12     ; C[1]->v[2] = v12     ; C[1]->w[2] = w12     ;
      C[1]->u[3] = u13     ; C[1]->v[3] = v13     ; C[1]->w[3] = w13     ;

      C[2] = Create_PostElement(Index, TETRAHEDRON, 4, PE->Depth) ;
      C[2]->u[0] = PE->u[2] ; C[2]->v[0] = PE->v[2] ; C[2]->w[0] = PE->w[2] ;
      C[2]->u[1] = u02     ; C[2]->v[1] = v02     ; C[2]->w[1] = w02     ;
      C[2]->u[2] = u12     ; C[2]->v[2] = v12     ; C[2]->w[2] = w12     ;
      C[2]->u[3] = u23     ; C[2]->v[3] = v23     ; C[2]->w[3] = w23     ;

      C[3] = Create_PostElement(Index, TETRAHEDRON, 4, PE->Depth) ;
      C[3]->u[0] = PE->u[3] ; C[3]->v[0] = PE->v[3] ; C[3]->w[0] = PE->w[3] ;
      C[3]->u[1] = u03     ; C[3]->v[1] = v03     ; C[3]->w[1] = w03     ;
      C[3]->u[2] = u13     ; C[3]->v[2] = v13     ; C[3]->w[2] = w13     ;
      C[3]->u[3] = u23     ; C[3]->v[3] = v23     ; C[3]->w[3] = w23     ;

      C[4] = Create_PostElement(Index, TETRAHEDRON, 4, PE->Depth) ;
      C[4]->u[0] = u01     ; C[4]->v[0] = v01     ; C[4]->w[0] = w01     ;
      C[4]->u[1] = u02     ; C[4]->v[1] = v02     ; C[4]->w[1] = w02     ;
      C[4]->u[2] = u03     ; C[4]->v[2] = v03     ; C[4]->w[2] = w03     ;
      C[4]->u[3] = u23     ; C[4]->v[3] = v23     ; C[4]->w[3] = w23     ;

      C[5] = Create_PostElement(Index, TETRAHEDRON, 4, PE->Depth) ;
      C[5]->u[0] = u01     ; C[5]->v[0] = v01     ; C[5]->w[0] = w01     ;
      C[5]->u[1] = u02     ; C[5]->v[1] = v02     ; C[5]->w[1] = w02     ;
          C[5]->u[2] = u12     ; C[5]->v[2] = v12     ; C[5]->w[2] = w12     ;
      C[5]->u[3] = u23     ; C[5]->v[3] = v23     ; C[5]->w[3] = w23     ;

      C[6] = Create_PostElement(Index, TETRAHEDRON, 4, PE->Depth) ;
      C[6]->u[0] = u01     ; C[6]->v[0] = v01     ; C[6]->w[0] = w01     ;
      C[6]->u[1] = u12     ; C[6]->v[1] = v12     ; C[6]->w[1] = w12     ;
      C[6]->u[2] = u13     ; C[6]->v[2] = v13     ; C[6]->w[2] = w13     ;
      C[6]->u[3] = u23     ; C[6]->v[3] = v23     ; C[6]->w[3] = w23     ;

      C[7] = PE ;
      C[7]->u[0] = u01     ; C[7]->v[0] = v01     ; C[7]->w[0] = w01     ;
      C[7]->u[1] = u03     ; C[7]->v[1] = v03     ; C[7]->w[1] = w03     ;
      C[7]->u[2] = u13     ; C[7]->v[2] = v13     ; C[7]->w[2] = w13     ;
      C[7]->u[3] = u23     ; C[7]->v[3] = v23     ; C[7]->w[3] = w23     ;

      NbCut = 8 ;
      break ;

    default :
      Message::Error("Recursive division not implemented for Quadrangles, Hexahedra, "
                     "Prisms and Pyramids") ;
      break;
    }

    for(i = 0 ; i < NbCut ; i++){
      C[i]->Depth ++ ;
      for(j = 0 ; j < C[i]->NbrNodes ; j++) C[i]->NumNodes[j] = -1 ;
      Cut_PostElement(C[i], GE, PE_L, Index, Depth, Skin, DecomposeInSimplex);
    }

  }
  else{

    Get_InitDofOfElement(&E) ;
    E.GeoElement = GE ;
    E.Num = E.GeoElement->Num ;
    E.Type = E.GeoElement->Type ;
    E.Region = E.GeoElement->Region ;
    Get_NodesCoordinatesOfElement(&E) ;

    for(i = 0 ; i < PE->NbrNodes ; i++){
      if( Skin == 0 && PE->Depth == 1 &&
	  ( DecomposeInSimplex == 0 || E.GeoElement->Type == LINE ||
	    E.GeoElement->Type == TRIANGLE || E.GeoElement->Type == TETRAHEDRON ) ){
	PE->x[i] = E.x[i] ;
	PE->y[i] = E.y[i] ;
	PE->z[i] = E.z[i] ;
      }
      else{
	Get_BFGeoElement(&E, PE->u[i], PE->v[i], PE->w[i]) ;

	PE->x[i] = PE->y[i] = PE->z[i] = 0. ;
	for (j = 0 ; j < E.GeoElement->NbrNodes ; j++) {
	  PE->x[i] += E.x[j] * E.n[j] ;
	  PE->y[i] += E.y[j] * E.n[j] ;
	  PE->z[i] += E.z[j] * E.n[j] ;
	}
      }

    }

    List_Add(PE_L, &PE);
  }
}

/* ------------------------------------------------------------------------ */
/*  F i l l _ P o s t E l e m e n t                                         */
/* ------------------------------------------------------------------------ */

#define POS_CUT_FILL  Cut_PostElement(PE, GE, PE_L, Index, Depth, 0, DecomposeInSimplex)
    #define POS_CUT_SKIN  Cut_PostElement(PE, GE, PE_L, Index, Depth, 1, DecomposeInSimplex)

void Fill_PostElement(struct Geo_Element * GE, List_T * PE_L,
		      int Index, int Depth, int Skin, List_T * EvaluationPoints_L,
		      int DecomposeInSimplex)
{
  struct PostElement * PE ;
  int Nbr_EP, i_EP;

  if(!Depth){

    PE = Create_PostElement(Index, POINT, 1, 0) ;
    switch(GE->Type){
    case POINT       : PE->u[0] = 0.   ; PE->v[0] = 0.   ; PE->w[0] = 0.   ; break ;
    case LINE        :
    case LINE_2      : PE->u[0] = 0.   ; PE->v[0] = 0.   ; PE->w[0] = 0.   ; break ;
    case TRIANGLE    :
    case TRIANGLE_2  : PE->u[0] = 1./3.; PE->v[0] = 1./3.; PE->w[0] = 0.   ; break ;
    case QUADRANGLE  :
    case QUADRANGLE_2:
    case QUADRANGLE_2_8N: PE->u[0] = 0.   ; PE->v[0] = 0.   ; PE->w[0] = 0.   ; break ;
    case TETRAHEDRON : PE->u[0] = 0.25 ; PE->v[0] = 0.25 ; PE->w[0] = 0.25 ; break ;
    case HEXAHEDRON  : PE->u[0] = 0.   ; PE->v[0] = 0.   ; PE->w[0] = 0.   ; break ;
    case PRISM       : PE->u[0] = 1./3.; PE->v[0] = 1./3.; PE->w[0] = 0.   ; break ;
    case PYRAMID     : PE->u[0] = 0.   ; PE->v[0] = 0.   ; PE->w[0] = 1./3.; break ;
    }
    POS_CUT_FILL ;

  }
  else{

    if(!Skin){

      switch(GE->Type){

      case POINT :
	PE = Create_PostElement(Index, POINT, 1, 1) ; /* node 1 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	POS_CUT_FILL ;
	break ;

      case LINE :
      case LINE_2 :
	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 1 2 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[1] ;
	PE->u[0] =-1. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] = 0. ;
	POS_CUT_FILL ;
	break ;

      case TRIANGLE :
      case TRIANGLE_2 :
	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 2 3 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[1] ;
	PE->NumNodes[2] = GE->NumNodes[2] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	POS_CUT_FILL ;
	break ;

      case QUADRANGLE :
      case QUADRANGLE_2 :
      case QUADRANGLE_2_8N:
	if(DecomposeInSimplex){
	  PE = Create_PostElement(Index, TRIANGLE, 3, 1); /* nodes 1 2 4 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
    	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] = 0. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1); /* nodes 2 3 4 */
	  PE->NumNodes[0] = GE->NumNodes[1] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	  POS_CUT_FILL;
	}
	else{
	  if (!EvaluationPoints_L) {
	    PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 1 2 3 4 */
	    PE->NumNodes[0] = GE->NumNodes[0] ;
	    PE->NumNodes[1] = GE->NumNodes[1] ;
	    PE->NumNodes[2] = GE->NumNodes[2] ;
	    PE->NumNodes[3] = GE->NumNodes[3] ;
	    PE->u[0] = -1. ; PE->v[0] = -1. ; PE->w[0] = 0. ;
	    PE->u[1] =  1. ; PE->v[1] = -1. ; PE->w[1] = 0. ;
	    PE->u[2] =  1. ; PE->v[2] =  1. ; PE->w[2] = 0. ;
	    PE->u[3] = -1. ; PE->v[3] =  1. ; PE->w[3] = 0. ;
	  }
	  else { /* Only for Quadrangles now, to be extended... */
	    Nbr_EP = List_Nbr(EvaluationPoints_L)/3;
	    PE = Create_PostElement(Index, QUADRANGLE, Nbr_EP, 1) ;
	    for (i_EP=0 ; i_EP<Nbr_EP ; i_EP++) {
	      List_Read(EvaluationPoints_L, i_EP*3+0, &PE->u[i_EP]);
	      List_Read(EvaluationPoints_L, i_EP*3+1, &PE->v[i_EP]);
	      List_Read(EvaluationPoints_L, i_EP*3+2, &PE->w[i_EP]);
	    }
	  }
	  POS_CUT_FILL ;
	}
	break ;

      case TETRAHEDRON :
	PE = Create_PostElement(Index, TETRAHEDRON, 4, 1) ; /* nodes 1 2 3 4 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[1] ;
	PE->NumNodes[2] = GE->NumNodes[2] ;
	PE->NumNodes[3] = GE->NumNodes[3] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	PE->u[3] = 0. ; PE->v[3] = 0. ; PE->w[3] = 1. ;
	POS_CUT_FILL;
	break ;

      case HEXAHEDRON :
	if(DecomposeInSimplex){
	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 2 3 6 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->NumNodes[3] = GE->NumNodes[5] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  PE->u[3] = 1. ; PE->v[3] =-1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 3 6 7 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
    	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->NumNodes[3] = GE->NumNodes[6] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] = 1. ;
	  PE->u[3] = 1. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 5 6 7 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[4] ;
	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->NumNodes[3] = GE->NumNodes[6] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] = 1. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] = 1. ;
	  PE->u[3] = 1. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 3 4 7 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->NumNodes[3] = GE->NumNodes[6] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  PE->u[3] = 1. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 5 7 8 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[4] ;
	  PE->NumNodes[2] = GE->NumNodes[6] ;
	  PE->NumNodes[3] = GE->NumNodes[7] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] = 1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] =-1. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 4 7 8 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[6] ;
	  PE->NumNodes[3] = GE->NumNodes[7] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] =-1. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;
	}
	else{
	  PE = Create_PostElement(Index, HEXAHEDRON, 8, 1) ; /* nodes 1 2 3 4 5 6 7 8 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->NumNodes[3] = GE->NumNodes[3] ;
	  PE->NumNodes[4] = GE->NumNodes[4] ;
	  PE->NumNodes[5] = GE->NumNodes[5] ;
	  PE->NumNodes[6] = GE->NumNodes[6] ;
	  PE->NumNodes[7] = GE->NumNodes[7] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  PE->u[3] =-1. ; PE->v[3] = 1. ; PE->w[3] =-1. ;
	  PE->u[4] =-1. ; PE->v[4] =-1. ; PE->w[4] = 1. ;
	  PE->u[5] = 1. ; PE->v[5] =-1. ; PE->w[5] = 1. ;
	  PE->u[6] = 1. ; PE->v[6] = 1. ; PE->w[6] = 1. ;
	  PE->u[7] =-1. ; PE->v[7] = 1. ; PE->w[7] = 1. ;
    	  POS_CUT_FILL;
	}
	break ;

      case PRISM :
	if(DecomposeInSimplex){
	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 2 3 5 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->NumNodes[3] = GE->NumNodes[4] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] =-1. ;
	  PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  PE->u[3] = 1. ; PE->v[3] = 0. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 3 5 6 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[4] ;
	  PE->NumNodes[3] = GE->NumNodes[5] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	  PE->u[3] = 0. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;

	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 4 5 6 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[4] ;
	  PE->NumNodes[3] = GE->NumNodes[5] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 0. ; PE->w[1] = 1. ;
	  PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	  PE->u[3] = 0. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_FILL;
	}
	else{
	  PE = Create_PostElement(Index, PRISM, 6, 1) ; /* nodes 1 2 3 4 5 6 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->NumNodes[3] = GE->NumNodes[3] ;
	  PE->NumNodes[4] = GE->NumNodes[4] ;
	  PE->NumNodes[5] = GE->NumNodes[5] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] =-1. ;
	  PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  PE->u[3] = 0. ; PE->v[3] = 0. ; PE->w[3] = 1. ;
	  PE->u[4] = 1. ; PE->v[4] = 0. ; PE->w[4] = 1. ;
	  PE->u[5] = 0. ; PE->v[5] = 1. ; PE->w[5] = 1. ;
	  POS_CUT_FILL;
	}
	break ;

      case PYRAMID :
	if(DecomposeInSimplex){
	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 1 2 4 5 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->NumNodes[3] = GE->NumNodes[4] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] = 0. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	  PE->u[3] = 0. ; PE->v[3] = 0. ; PE->w[3] = 1. ;

	  POS_CUT_FILL;
    
	  PE = Create_PostElement(Index, TETRAHEDRON, 4, 1); /* nodes 2 3 4 5 */
	  PE->NumNodes[0] = GE->NumNodes[1] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->NumNodes[3] = GE->NumNodes[4] ;

	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	  PE->u[3] = 0. ; PE->v[3] = 0. ; PE->w[3] = 1. ;

	  POS_CUT_FILL;
	}
	else{
	  PE = Create_PostElement(Index, PYRAMID, 5, 1) ; /* nodes 1 2 3 4 5 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->NumNodes[3] = GE->NumNodes[3] ;
	  PE->NumNodes[4] = GE->NumNodes[4] ;

	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] = 0. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	  PE->u[3] =-1. ; PE->v[3] = 1. ; PE->w[3] = 0. ;
	  PE->u[4] = 0. ; PE->v[4] = 0. ; PE->w[4] = 1. ;

	  POS_CUT_FILL;
	}
	break ;

      }
    }
    else { /* Skin: facets oriented with normals pointing outwards */

      switch(GE->Type){

      case TRIANGLE :
	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 1 2 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[1] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] = 0. ;
	POS_CUT_SKIN ;

	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 2 3 */
	PE->NumNodes[0] = GE->NumNodes[1] ;
	PE->NumNodes[1] = GE->NumNodes[2] ;
	PE->u[0] = 1. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	POS_CUT_SKIN ;

	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 3 1 */
	PE->NumNodes[0] = GE->NumNodes[2] ;
	PE->NumNodes[1] = GE->NumNodes[0] ;
	PE->u[0] = 0. ; PE->v[0] = 1. ; PE->w[0] = 0. ;
	PE->u[1] = 0. ; PE->v[1] = 0. ; PE->w[1] = 0. ;
	POS_CUT_SKIN ;
	break ;

      case QUADRANGLE :
	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 1 2 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[1] ;
	PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] = 0. ;
	POS_CUT_SKIN ;

	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 2 3 */
    	PE->NumNodes[0] = GE->NumNodes[1] ;
	PE->NumNodes[1] = GE->NumNodes[2] ;
	PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	POS_CUT_SKIN ;

	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 3 4 */
	PE->NumNodes[0] = GE->NumNodes[2] ;
	PE->NumNodes[1] = GE->NumNodes[3] ;
	PE->u[0] = 1. ; PE->v[0] = 1. ; PE->w[0] = 0. ;
	PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	POS_CUT_SKIN ;

	PE = Create_PostElement(Index, LINE, 2, 1) ; /* nodes 4 1 */
	PE->NumNodes[0] = GE->NumNodes[3] ;
	PE->NumNodes[1] = GE->NumNodes[0] ;
	PE->u[0] =-1. ; PE->v[0] = 1. ; PE->w[0] = 0. ;
	PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] = 0. ;
	POS_CUT_SKIN ;
	break ;

      case TETRAHEDRON :
	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 2 4 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[1] ;
	PE->NumNodes[2] = GE->NumNodes[3] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	POS_CUT_SKIN;

	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 3 2 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[2] ;
	PE->NumNodes[2] = GE->NumNodes[1] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] = 0. ;
	POS_CUT_SKIN;

	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 4 3 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[3] ;
	PE->NumNodes[2] = GE->NumNodes[2] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 0. ; PE->v[1] = 0. ; PE->w[1] = 1. ;
	PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	POS_CUT_SKIN;

	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 2 3 4 */
	PE->NumNodes[0] = GE->NumNodes[1] ;
	PE->NumNodes[1] = GE->NumNodes[2] ;
	PE->NumNodes[2] = GE->NumNodes[3] ;
	PE->u[0] = 1. ; PE->v[0] = 0. ; PE->w[0] = 0. ;
	PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	POS_CUT_SKIN;
	break ;

      case HEXAHEDRON :
	if(DecomposeInSimplex){
	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 4 2 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[1] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;

    	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 2 4 3 */
	  PE->NumNodes[0] = GE->NumNodes[1] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 5 6 8 */
	  PE->NumNodes[0] = GE->NumNodes[4] ;
	  PE->NumNodes[1] = GE->NumNodes[5] ;
	  PE->NumNodes[2] = GE->NumNodes[7] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 1. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] = 1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 6 7 8 */
	  PE->NumNodes[0] = GE->NumNodes[5] ;
	  PE->NumNodes[1] = GE->NumNodes[6] ;
	  PE->NumNodes[2] = GE->NumNodes[7] ;
	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] = 1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] = 1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 5 4 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[4] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] = 1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 5 8 4 */
	  PE->NumNodes[0] = GE->NumNodes[4] ;
	  PE->NumNodes[1] = GE->NumNodes[7] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 1. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] = 1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 2 3 6 */
	  PE->NumNodes[0] = GE->NumNodes[1] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 6 3 7 */
	  PE->NumNodes[0] = GE->NumNodes[5] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[6] ;
	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] = 1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 5 1 6 */
	  PE->NumNodes[0] = GE->NumNodes[4] ;
	  PE->NumNodes[1] = GE->NumNodes[0] ;
	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 1. ;
	  PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] = 1. ;
    	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 6 1 2 */
	  PE->NumNodes[0] = GE->NumNodes[5] ;
	  PE->NumNodes[1] = GE->NumNodes[0] ;
	  PE->NumNodes[2] = GE->NumNodes[1] ;
	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] = 1. ;
	  PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 8 7 4 */
	  PE->NumNodes[0] = GE->NumNodes[7] ;
	  PE->NumNodes[1] = GE->NumNodes[6] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->u[0] =-1. ; PE->v[0] = 1. ; PE->w[0] = 1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] = 1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 7 3 4 */
	  PE->NumNodes[0] = GE->NumNodes[6] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->u[0] = 1. ; PE->v[0] = 1. ; PE->w[0] = 1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;
	}
	else{
	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 1 2 6 5 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->NumNodes[3] = GE->NumNodes[4] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] = 1. ;
	  PE->u[3] =-1. ; PE->v[3] =-1. ; PE->w[3] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes  1 4 3 2 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->NumNodes[3] = GE->NumNodes[1] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  PE->u[3] = 1. ; PE->v[3] =-1. ; PE->w[3] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 1 5 8 4 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[4] ;
	  PE->NumNodes[2] = GE->NumNodes[7] ;
	  PE->NumNodes[3] = GE->NumNodes[3] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] = 1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] =-1. ; PE->v[3] = 1. ; PE->w[3] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 2 3 7 6 */
	  PE->NumNodes[0] = GE->NumNodes[1] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[6] ;
	  PE->NumNodes[3] = GE->NumNodes[5] ;
	  PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
    	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] = 1. ; PE->v[3] =-1. ; PE->w[3] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 3 4 8 7 */
	  PE->NumNodes[0] = GE->NumNodes[2] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[7] ;
	  PE->NumNodes[3] = GE->NumNodes[6] ;
	  PE->u[0] = 1. ; PE->v[0] = 1. ; PE->w[0] =-1. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] =-1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] = 1. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 5 6 7 8 */
	  PE->NumNodes[0] = GE->NumNodes[4] ;
	  PE->NumNodes[1] = GE->NumNodes[5] ;
	  PE->NumNodes[2] = GE->NumNodes[6] ;
	  PE->NumNodes[3] = GE->NumNodes[7] ;
	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 1. ;
	  PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] = 1. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] =-1. ; PE->v[3] = 1. ; PE->w[3] = 1. ;
	  POS_CUT_SKIN;
	}
	break ;

      case PRISM :
	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 3 2 */
	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[2] ;
	PE->NumNodes[2] = GE->NumNodes[1] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] =-1. ;
	POS_CUT_SKIN;

	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 4 5 6 */
	PE->NumNodes[0] = GE->NumNodes[3] ;
	PE->NumNodes[1] = GE->NumNodes[4] ;
	PE->NumNodes[2] = GE->NumNodes[5] ;
	PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] = 1. ;
	PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] = 1. ;
	PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	POS_CUT_SKIN;

	if(DecomposeInSimplex){
	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 2 5 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[4] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 5 4 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[4] ;
	  PE->NumNodes[2] = GE->NumNodes[3] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] = 1. ;
	  PE->u[2] = 0. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 6 3 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[5] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;
    	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] = 1. ;
	  PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 4 6 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 0. ; PE->w[1] = 1. ;
	  PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 2 3 5 */
	  PE->NumNodes[0] = GE->NumNodes[1] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[4] ;
	  PE->u[0] = 1. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 3 6 5 */
	  PE->NumNodes[0] = GE->NumNodes[2] ;
	  PE->NumNodes[1] = GE->NumNodes[5] ;
	  PE->NumNodes[2] = GE->NumNodes[4] ;
	  PE->u[0] = 0. ; PE->v[0] = 1. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] = 1. ;
	  PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	  POS_CUT_SKIN;
	}
	else{
	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 1 2 5 4 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[1] ;
	  PE->NumNodes[2] = GE->NumNodes[4] ;
	  PE->NumNodes[3] = GE->NumNodes[3] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 1. ; PE->v[1] = 0. ; PE->w[1] =-1. ;
	  PE->u[2] = 1. ; PE->v[2] = 0. ; PE->w[2] = 1. ;
	  PE->u[3] = 0. ; PE->v[3] = 0. ; PE->w[3] = 1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 1 4 6 3 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->NumNodes[3] = GE->NumNodes[2] ;
	  PE->u[0] = 0. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 0. ; PE->w[1] = 1. ;
	  PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] = 0. ; PE->v[3] = 1. ; PE->w[3] =-1. ;
	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 2 3 6 5 */
	  PE->NumNodes[0] = GE->NumNodes[1] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[5] ;
	  PE->NumNodes[3] = GE->NumNodes[4] ;
	  PE->u[0] = 1. ; PE->v[0] = 0. ; PE->w[0] =-1. ;
	  PE->u[1] = 0. ; PE->v[1] = 1. ; PE->w[1] =-1. ;
	  PE->u[2] = 0. ; PE->v[2] = 1. ; PE->w[2] = 1. ;
	  PE->u[3] = 1. ; PE->v[3] = 0. ; PE->w[3] = 1. ;
	  POS_CUT_SKIN;
	}
	break ;

      case PYRAMID :
	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 2 5 */
    	PE->NumNodes[0] = GE->NumNodes[0] ;
	PE->NumNodes[1] = GE->NumNodes[1] ;
	PE->NumNodes[2] = GE->NumNodes[4] ;

	PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] =-1. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 0. ; PE->w[2] = 1. ;

	POS_CUT_SKIN;

	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 2 3 5 */
	PE->NumNodes[0] = GE->NumNodes[1] ;
	PE->NumNodes[1] = GE->NumNodes[2] ;
	PE->NumNodes[2] = GE->NumNodes[4] ;

	PE->u[0] = 1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 0. ; PE->w[2] = 1. ;

	POS_CUT_SKIN;

	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 3 4 5 */
	PE->NumNodes[0] = GE->NumNodes[2] ;
	PE->NumNodes[1] = GE->NumNodes[3] ;
	PE->NumNodes[2] = GE->NumNodes[4] ;

	PE->u[0] = 1. ; PE->v[0] = 1. ; PE->w[0] = 0. ;
	PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 0. ; PE->w[2] = 1. ;

	POS_CUT_SKIN;

	PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 4 1 5 */
	PE->NumNodes[0] = GE->NumNodes[3] ;
	PE->NumNodes[1] = GE->NumNodes[0] ;
	PE->NumNodes[2] = GE->NumNodes[4] ;

	PE->u[0] =-1. ; PE->v[0] = 1. ; PE->w[0] = 0. ;
	PE->u[1] =-1. ; PE->v[1] =-1. ; PE->w[1] = 0. ;
	PE->u[2] = 0. ; PE->v[2] = 0. ; PE->w[2] = 1. ;

	POS_CUT_SKIN;

	if(DecomposeInSimplex){
	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 3 2 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[2] ;
	  PE->NumNodes[2] = GE->NumNodes[1] ;

	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] = 1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	  PE->u[2] = 1. ; PE->v[2] =-1. ; PE->w[2] = 0. ;

	  POS_CUT_SKIN;

	  PE = Create_PostElement(Index, TRIANGLE, 3, 1) ; /* nodes 1 4 3 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
	  PE->NumNodes[2] = GE->NumNodes[2] ;

	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 0. ;

	  POS_CUT_SKIN;
	}
	else{
	  PE = Create_PostElement(Index, QUADRANGLE, 4, 1) ; /* nodes 1 4 3 2 */
	  PE->NumNodes[0] = GE->NumNodes[0] ;
	  PE->NumNodes[1] = GE->NumNodes[3] ;
    	  PE->NumNodes[2] = GE->NumNodes[2] ;
	  PE->NumNodes[3] = GE->NumNodes[1] ;

	  PE->u[0] =-1. ; PE->v[0] =-1. ; PE->w[0] = 0. ;
	  PE->u[1] =-1. ; PE->v[1] = 1. ; PE->w[1] = 0. ;
	  PE->u[2] = 1. ; PE->v[2] = 1. ; PE->w[2] = 0. ;
	  PE->u[3] = 1. ; PE->v[3] =-1. ; PE->w[3] = 0. ;

	  POS_CUT_SKIN;
	}
	break ;

      }

    }

  }
}

#undef POS_CUT_FILL
#undef POS_CUT_SKIN

/* ------------------------------------------------------------------------ */
/*  S o r t B y C o n n e c t i v i t y                                     */
/* ------------------------------------------------------------------------ */

int Compare_PostElement_Node(struct PostElement * PE1, int n1,
			     struct PostElement * PE2, int n2)
{
  double TOL=Current.GeoData->CharacteristicLength * 1.e-8;
  if ( (fabs(PE1->x[n1] - PE2->x[n2]) < TOL) &&
       (fabs(PE1->y[n1] - PE2->y[n2]) < TOL) &&
       (fabs(PE1->z[n1] - PE2->z[n2]) < TOL) )
    return 1 ;
  return 0 ;
}

void Sort_PostElement_Connectivity(List_T *PostElement_L)
{
  int ii, jj, start, end, iPost, NbrPost ;
  struct PostElement *PE, *PE2 ;

  NbrPost = List_Nbr(PostElement_L) ;

  /*
     u[0] = 1 if the element is in the ordered list, with natural orientation
           -1 if the element is in the ordered list, but with opposite orientation
            0 if the element is not in the list
     v[0] = relative index (to the first element) in the ordered list
  */

  for(ii = 0 ; ii < NbrPost ; ii++){
    PE = *(struct PostElement**)List_Pointer(PostElement_L, ii);
    if(PE->NbrNodes != 2){
      Message::Error("Connectivity sorting impossible for %d-noded elements",
                     PE->NbrNodes) ;
      return;
    }
    PE->u[0] = 0. ;
  }

  PE = *(struct PostElement**)List_Pointer(PostElement_L, 0);
  PE->u[0] = 1. ; PE->v[0] = 0. ;

  iPost = 1 ;
  while(iPost < NbrPost){
    for(ii = 0 ; ii < NbrPost ; ii++){
      PE = *(struct PostElement**)List_Pointer(PostElement_L, ii);
      if(PE->u[0]){
	if(PE->u[0] > 0){
    	  start = 0 ; end = 1 ;
	}
	else{
	  start = 1 ; end = 0 ;
	}
	for(jj = 0 ; jj < NbrPost ; jj++){
	  if(jj != ii){
	    PE2 = *(struct PostElement**)List_Pointer(PostElement_L, jj);
	    if(!PE2->u[0]){
	      if(Compare_PostElement_Node(PE, end, PE2, 0)){
		PE2->u[0] = 1. ; PE2->v[0] = PE->v[0] + 1. ; iPost++ ;
	      }
	      else if (Compare_PostElement_Node(PE, start, PE2, 0)){
		PE2->u[0] = -1. ; PE2->v[0] = PE->v[0] - 1.  ; iPost++ ;
	      }
	      else if (Compare_PostElement_Node(PE, start, PE2, 1)){
		PE2->u[0] = 1. ; PE2->v[0] = PE->v[0] - 1. ; iPost++ ;
	      }
	      else if (Compare_PostElement_Node(PE, end, PE2, 1)){
		PE2->u[0] = -1. ; PE2->v[0] = PE->v[0] + 1. ; iPost++ ;
	      }
	    }
	  }
	}
      }
    }
    List_Sort(PostElement_L, fcmp_PostElement_absu0) ;
  }
  List_Sort(PostElement_L, fcmp_PostElement_v0) ;
}