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41 results

Pos_FemInterpolation.cpp

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  • Pos_Iso.cpp 6.08 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>.
    
    #include <math.h>
    #include "ProData.h"
    #include "Pos_Element.h"
    #include "Message.h"
    
    #define PSCA3(a,b) ((a)[0]*(b)[0] + (a)[1]*(b)[1] + (a)[2]*(b)[2])
    
    extern struct CurrentData Current ;
    
    /* ------------------------------------------------------------------------ */
    /*  C a l _ I s o                                                           */
    /* ------------------------------------------------------------------------ */
    
    void Interpolate(double *X, double *Y, double *Z, 
    		 struct Value *Val, double V, int I1, int I2, 
    		 double *XI, double *YI ,double *ZI)
    {
      if(Val[I1].Val[0] == Val[I2].Val[0]){
        *XI = X[I1]; 
        *YI = Y[I1]; 
        *ZI = Z[I1]; 
      }
      else{
        *XI= (V - Val[I1].Val[0])*(X[I2]-X[I1])/(Val[I2].Val[0]-Val[I1].Val[0]) + X[I1];
        *YI= (V - Val[I1].Val[0])*(Y[I2]-Y[I1])/(Val[I2].Val[0]-Val[I1].Val[0]) + Y[I1];
        *ZI= (V - Val[I1].Val[0])*(Z[I2]-Z[I1])/(Val[I2].Val[0]-Val[I1].Val[0]) + Z[I1];
      }
    }
    
    void Cal_IsoTetrahedron(double *X, double *Y, double *Z, struct Value *Val, 
    			double V, double Vmin, double Vmax,
    			double *Xp, double *Yp, double *Zp, int *nb)
    {
      *nb = 0;
      if((Val[0].Val[0] >= V && Val[1].Val[0] <= V) || 
         (Val[1].Val[0] >= V && Val[0].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,0,1,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
      if((Val[0].Val[0] >= V && Val[2].Val[0] <= V) ||
         (Val[2].Val[0] >= V && Val[0].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,0,2,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
      if((Val[0].Val[0] >= V && Val[3].Val[0] <= V) ||
         (Val[3].Val[0] >= V && Val[0].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,0,3,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
      if((Val[1].Val[0] >= V && Val[2].Val[0] <= V) ||
         (Val[2].Val[0] >= V && Val[1].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,1,2,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
      if((Val[1].Val[0] >= V && Val[3].Val[0] <= V) ||
         (Val[3].Val[0] >= V && Val[1].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,1,3,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
      if((Val[2].Val[0] >= V && Val[3].Val[0] <= V) ||
         (Val[3].Val[0] >= V && Val[2].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,2,3,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
    }
    
    void Cal_IsoTriangle(double *X, double *Y, double *Z, struct Value *Val, 
    		     double V, double Vmin, double Vmax,
    		     double *Xp, double *Yp, double *Zp, int *nb)
    {
      *nb = 0;
      if((Val[0].Val[0] >= V && Val[1].Val[0] <= V) || 
         (Val[1].Val[0] >= V && Val[0].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,0,1,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
      if((Val[0].Val[0] >= V && Val[2].Val[0] <= V) ||
         (Val[2].Val[0] >= V && Val[0].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,0,2,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
      if((Val[1].Val[0] >= V && Val[2].Val[0] <= V) ||
         (Val[2].Val[0] >= V && Val[1].Val[0] <= V)){
        Interpolate(X,Y,Z,Val,V,1,2,&Xp[*nb],&Yp[*nb],&Zp[*nb]); (*nb)++;
      }
    }
    
    void Fill_Iso(struct PostElement *PE, int nb, int *index,
    	      double *x, double *y, double *z, double val)
    {
      int i, k ;
    
      for (i = 0 ; i < nb ; i++){
        PE->x[i] = x[index[i]] ;
        PE->y[i] = y[index[i]] ;
        PE->z[i] = z[index[i]] ;
        PE->Value[i].Type = SCALAR ;
        PE->Value[i].Val[0] = val ;
        for (k = 1 ; k < Current.NbrHar ; k++)
          PE->Value[i].Val[MAX_DIM*k] = 0. ;
      }
    }
    
    void normvec(double *a);
    
    void Cal_Iso(struct PostElement *PE, List_T *list, 
    	     double val, double vmin, double vmax, int DecomposeInSimplex)
    {
      struct PostElement *PE2 ;
      double x[5], y[5], z[5] ;
      double d1[3], d2[3], d3[3], a1, a2, a3 ;
      int    nb, index[5], index_default[] = {0,1,2,3} ;
    
      switch(PE->Type){
      case TRIANGLE :
      case TRIANGLE_2 :
        Cal_IsoTriangle(PE->x, PE->y, PE->z, PE->Value, 
    		    val, vmin, vmax, x, y, z, &nb) ;
        if(nb == 2){
          PE2 =  Create_PostElement(PE->Index, LINE, 2, 1) ;
          Fill_Iso(PE2, nb, index_default, x, y, z, val) ;
          List_Add(list, &PE2);
        }
        break ;
      case TETRAHEDRON :
      case TETRAHEDRON_2 :
        Cal_IsoTetrahedron(PE->x, PE->y, PE->z, PE->Value, 
    		       val, vmin, vmax, x, y, z, &nb) ;
    
        if(nb == 3){
          PE2 =  Create_PostElement(PE->Index, TRIANGLE, 3, 1) ;
          Fill_Iso(PE2, nb, index_default, x, y, z, val) ;
          List_Add(list, &PE2);
        }
        else if(nb == 4){
          if(DecomposeInSimplex){
    	d1[0] = x[0] - x[1] ; d1[1] = y[0] - y[1] ; d1[2] = z[0] - z[1] ;
    	d2[0] = x[0] - x[2] ; d2[1] = y[0] - y[2] ; d2[2] = z[0] - z[2] ;
    	d3[0] = x[0] - x[3] ; d3[1] = y[0] - y[3] ; d3[2] = z[0] - z[3] ;
    	normvec(d1) ; normvec(d2) ; normvec(d3) ;
    	a1 = acos(PSCA3(d1,d2)) ;
    	a2 = acos(PSCA3(d1,d3)) ;
    	a3 = acos(PSCA3(d2,d3)) ;
    
    	if(a1 >= a2 && a1 >= a3){
    	  PE2 =  Create_PostElement(PE->Index, TRIANGLE, 3, 1) ;
    	  index[0] = 0 ; index[1] = 1 ; index[2] = 2 ; 
    	  Fill_Iso(PE2, 3, index, x, y, z, val) ;
    	  List_Add(list, &PE2);
    	  PE2 =  Create_PostElement(PE->Index, TRIANGLE, 3, 1) ;
    	  index[0] = 3 ; index[1] = 2 ; index[2] = 1 ; 
    	  Fill_Iso(PE2, 3, index, x, y, z, val) ;
    	  List_Add(list, &PE2);
    	}
    	else if(a2 >= a1 && a2 >= a3){
    	  PE2 =  Create_PostElement(PE->Index, TRIANGLE, 3, 1) ;
    	  index[0] = 0 ; index[1] = 1 ; index[2] = 3 ; 
    	  Fill_Iso(PE2, 3, index, x, y, z, val) ;
    	  List_Add(list, &PE2);
    	  PE2 =  Create_PostElement(PE->Index, TRIANGLE, 3, 1) ;
    	  index[0] = 2 ; index[1] = 3 ; index[2] = 1 ; 
    	  Fill_Iso(PE2, 3, index, x, y, z, val) ;
    	  List_Add(list, &PE2);
    	}
    	else{
    	  PE2 =  Create_PostElement(PE->Index, TRIANGLE, 3, 1) ;
    	  index[0] = 0 ; index[1] = 2 ; index[2] = 3 ; 
    	  Fill_Iso(PE2, 3, index, x, y, z, val) ;
    	  List_Add(list, &PE2);
    	  PE2 =  Create_PostElement(PE->Index, TRIANGLE, 3, 1) ;
    	  index[0] = 1 ; index[1] = 3 ; index[2] = 2 ; 
    	  Fill_Iso(PE2, 3, index, x, y, z, val) ;
    	  List_Add(list, &PE2);
    	}
          }
          else{
    	PE2 =  Create_PostElement(PE->Index, QUADRANGLE, 4, 1) ;
    	Fill_Iso(PE2, nb, index_default, x, y, z, val) ;
    	List_Add(list, &PE2);
          }
        }
        break ;
      default :
        Message::Error("Iso computation not done for this type of element");
        break ;
      }
    }