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#include "gestionversion.h"
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//---------------------------------------------------------------------------
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#pragma hdrstop
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#include "sl_tetra14.h"
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#include "fem_noeud.h"
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//---------------------------------------------------------------------------
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#pragma package(smart_init)
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SL_TETRA14::SL_TETRA14(FEM_TETRA *mgseg):SL_TETRA(mgseg)
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{
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}
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SL_TETRA14::SL_TETRA14(SL_TETRA14& mdd):SL_TETRA(mdd)
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{
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}
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SL_TETRA14::~SL_TETRA14()
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{
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}
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int SL_TETRA14::nb_point_gauss(void)
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{
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return 4;
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}
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int SL_TETRA14::nb_fonction_interpolation(void)
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{
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return 4;
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}
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void SL_TETRA14::get_point_gauss(int num,double *xyz,double& poids)
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{
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double a= 0.13819660112501051517954131656344 ;
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double b= 0.58541019662496845446137605030969 ;
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double c= 0.041666666666666666666666666666667 ;
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switch (num)
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{
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case 1:xyz[0]=a;
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xyz[1]=a;
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xyz[2]=a;
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poids=c;
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break;
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case 2:xyz[0]=a;
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xyz[1]=a;
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xyz[2]=b;
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poids=c;
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break;
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case 3:xyz[0]=a;
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xyz[1]=b;
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xyz[2]=a;
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poids=c;
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break;
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case 4:xyz[0]=b;
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xyz[1]=a;
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xyz[2]=a;
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poids=c;
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break;
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}
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}
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double SL_TETRA14::get_fonction_interpolation(int num,double *uv)
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{
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double val;
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switch (num)
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{
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case 1:val=1-uv[0]-uv[1]-uv[2];break;
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case 2:val=uv[0];break;
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case 3:val=uv[1];break;
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case 4:val=uv[2];break;
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}
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return val;
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}
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double SL_TETRA14::get_fonction_derive_interpolation(int num,int num_variable,double *uv)
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{
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double val;
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switch (num)
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{
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case 1:switch (num_variable)
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{
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case 1:val=-1;break;
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case 2:val=-1;break;
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case 3:val=-1;break;
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} break;
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case 2:switch (num_variable)
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{
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case 1:val=1;break;
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case 2:val=0;break;
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case 3:val=0;break;
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}break;
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case 3:switch (num_variable)
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{
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case 1:val=0;break;
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case 2:val=1;break;
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case 3:val=0;break;
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}break;
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case 4:switch (num_variable)
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{
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case 1:val=0;break;
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case 2:val=0;break;
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case 3:val=1;break;
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}break;
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}
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return val;
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}
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double SL_TETRA14::get_jacobien(double* jac,double *uv,int& li,int& col,double unite)
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{
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li=3;
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col=3;
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FEM_NOEUD* noeud1=((FEM_TETRA*) mai)->get_fem_noeud(0);
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FEM_NOEUD* noeud2=((FEM_TETRA*) mai)->get_fem_noeud(1);
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FEM_NOEUD* noeud3=((FEM_TETRA*) mai)->get_fem_noeud(2);
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FEM_NOEUD* noeud4=((FEM_TETRA*) mai)->get_fem_noeud(3);
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double *xyz1=noeud1->get_coord();
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double *xyz2=noeud2->get_coord();
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double *xyz3=noeud3->get_coord();
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double *xyz4=noeud4->get_coord();
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jac[0]=unite*(xyz2[0] - xyz1[0]) ;
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jac[1]=unite*(xyz2[1] - xyz1[1]) ;
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jac[2]=unite*(xyz2[2] - xyz1[2]) ;
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jac[3]=unite*(xyz3[0] - xyz1[0]) ;
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jac[4]=unite*(xyz3[1] - xyz1[1]) ;
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jac[5]=unite*(xyz3[2] - xyz1[2]) ;
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jac[6]=unite*(xyz4[0] - xyz1[0]) ;
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jac[7]=unite*(xyz4[1] - xyz1[1]) ;
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jac[8]=unite*(xyz4[2] - xyz1[2]) ;
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double SIX_V= jac[0]*(jac[4]*jac[8]-jac[7]*jac[5])+jac[1]*(jac[5]*jac[6]-jac[8]*jac[3])+jac[2]*(jac[3]*jac[7]-jac[6]*jac[4]);
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return SIX_V;
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}
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void SL_TETRA14::get_inverse_jacob(double* j,double *uv,double unite)
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{
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FEM_NOEUD* noeud1=((FEM_TETRA*) mai)->get_fem_noeud(0);
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FEM_NOEUD* noeud2=((FEM_TETRA*) mai)->get_fem_noeud(1);
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FEM_NOEUD* noeud3=((FEM_TETRA*) mai)->get_fem_noeud(2);
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FEM_NOEUD* noeud4=((FEM_TETRA*) mai)->get_fem_noeud(3);
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double *xyz1=noeud1->get_coord();
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double *xyz2=noeud2->get_coord();
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double *xyz3=noeud3->get_coord();
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double *xyz4=noeud4->get_coord();
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double jac[9];
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jac[0*3+0]= unite*(xyz2[0] - xyz1[0]) ;
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jac[0*3+1]= unite*(xyz2[1] - xyz1[1]) ;
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jac[0*3+2]= unite*(xyz2[2] - xyz1[2]) ;
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jac[1*3+0]= unite*(xyz3[0] - xyz1[0]) ;
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jac[1*3+1]= unite*(xyz3[1] - xyz1[1]) ;
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jac[1*3+2]= unite*(xyz3[2] - xyz1[2]) ;
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jac[2*3+0]= unite*(xyz4[0] - xyz1[0]) ;
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jac[2*3+1]= unite*(xyz4[1] - xyz1[1]) ;
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jac[2*3+2]= unite*(xyz4[2] - xyz1[2]) ;
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double detj=(jac[0*3+0]*jac[1*3+1]*jac[2*3+2]-jac[0*3+0]*jac[1*3+2]*jac[2*3+1]-jac[1*3+0]*jac[0*3+1]*jac[2*3+2]+jac[1*3+0]*jac[0*3+2]*jac[2*3+1]+jac[2*3+0]*jac[0*3+1]*jac[1*3+2]-jac[2*3+0]*jac[0*3+2]*jac[1*3+1]);
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j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj);
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j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj);
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j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj);
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j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj);
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j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj);
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j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj);
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j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj);
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j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj);
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j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj);
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}
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int SL_TETRA14::nb_point_extrapolation()
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{
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return 4;
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}
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void SL_TETRA14:: get_cord_ref_noauds(double* sommet)
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{
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sommet[0]=0; sommet[1]=0; sommet[2]=0;
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sommet[3]=1; sommet[4]=0; sommet[5]=0;
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sommet[6]=0; sommet[7]=1; sommet[8]=0;
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sommet[9]=0; sommet[10]=0; sommet[11]=1;
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}
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