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#include "gestionversion.h"
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//---------------------------------------------------------------------------
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#pragma hdrstop
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#include "sl_tetra21.h"
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//---------------------------------------------------------------------------
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#include "fem_tetra.h"
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#include "fem_noeud.h"
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#include "tpl_map_entite.h"
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#pragma package(smart_init)
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SL_TETRA21::SL_TETRA21(FEM_TETRA *femtetra):SL_TETRA(femtetra)
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{
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}
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SL_TETRA21::SL_TETRA21(SL_TETRA21& mdd):SL_TETRA(mdd)
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{
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}
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SL_TETRA21::~SL_TETRA21()
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{
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}
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int SL_TETRA21::nb_point_gauss(void)
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{
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return 1;
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}
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int SL_TETRA21::nb_fonction_interpolation(void)
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{
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return 10;
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}
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void SL_TETRA21::get_point_gauss(int num,double* xyz,double& poids)
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{
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xyz[0]=0.25;
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xyz[1]=0.25;
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xyz[2]=0.25;
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poids=0.16666666666666666666666666666667;
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}
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double SL_TETRA21::get_fonction_interpolation(int num,double* uv)
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{
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double val;
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double landa=1-uv[0]-uv[1]-uv[2];
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switch (num)
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{
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case 1:val=-landa*(1-2*landa);break;
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case 2:val=4*uv[0]*landa;break;
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case 3:val=-uv[0]*(1-2*uv[0]);break;
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case 4:val=4*uv[0]*uv[1];break;
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case 5:val=-uv[1]*(1-2*uv[1]);break;
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case 6:val=4*uv[1]*landa;break;
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case 7:val=4*uv[2]*landa;break;
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case 8:val=4*uv[0]*uv[2];break;
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case 9:val=4*uv[1]*uv[2];break;
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case 10:val=-uv[2]*(1-2*uv[2]);break;
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}
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return val;
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}
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double SL_TETRA21::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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double landa=1-uv[0]-uv[1]-uv[2];
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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=1-4*landa;break;
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case 2:val=1-4*landa;break;
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case 3:val=1-4*landa;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=4*(landa-uv[0]);break;
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case 2:val=-4*uv[0];break;
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case 3:val=-4*uv[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=-1+4*uv[0];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 4:switch (num_variable)
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{
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case 1:val=4*uv[1];break;
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case 2:val=4*uv[0];break;
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case 3:val=0.;break;
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}break;
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case 5:switch (num_variable)
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{
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case 1:val=0.;break;
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case 2:val=-1+4*uv[1];break;
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case 3:val=0.;break;
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}break;
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case 6:switch (num_variable)
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{
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case 1:val=-4*uv[1];break;
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case 2:val=4*(landa-uv[1]);break;
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case 3:val=-4*uv[1];break;
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}break;
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case 7:switch (num_variable)
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{
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case 1:val=-4*uv[2];break;
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case 2:val=-4*uv[2];break;
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case 3:val=4*(landa-uv[2]);break;
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}break;
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case 8:switch (num_variable)
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{
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case 1:val=4*uv[2];break;
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case 2:val=0;break;
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case 3:val=4*uv[0];break;
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}break;
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case 9:switch (num_variable)
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{
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case 1:val=0.;break;
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case 2:val=4*uv[2];break;
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case 3:val=4*uv[1];break;
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}break;
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case 10: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+4*uv[2];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_TETRA21::get_jacobien(double* jac,double *uv,int& lig,int& col,double unite)
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{
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lig=3;
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col=3;
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double nb_fct_int=this->nb_fonction_interpolation();
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double xyz[30];
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int nb_nd=((FEM_TETRA*) mai)->get_nb_fem_noeud();
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for(int i=0;i<nb_nd;i++)
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{
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FEM_NOEUD* fmnd=((FEM_TETRA*) mai)->get_fem_noeud(i);
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double *xyz1=fmnd->get_coord();
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xyz[3*i]=unite*xyz1[0];
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xyz[3*i+1]=unite*xyz1[1];
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xyz[3*i+2]=unite*xyz1[2];
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}
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for(int i=0;i<lig;i++)
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{
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for(int j=0;j<col;j++)
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{
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jac[i*col+j]=0.0;
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for(int k=0;k<nb_fct_int;k++)
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{
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double NDERI=this->get_fonction_derive_interpolation(k+1,i+1,uv);
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jac[i*col+j]+=NDERI*xyz[3*k+j];
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}
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}
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}
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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_TETRA21::get_inverse_jacob(double* j,double *uv,double unite)
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{
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double jac[9];
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int lig,col;
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double detj=this->get_jacobien(jac,uv,lig,col,unite);
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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_TETRA21::nb_point_extrapolation()
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{
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return 4;
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}
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void SL_TETRA21::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]=0.5; sommet[4]=0; sommet[5]=0;
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sommet[6]=1; sommet[7]=0; sommet[8]=0;
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sommet[9]=0.5; sommet[10]=0.5; sommet[11]=0;
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sommet[12]=0; sommet[13]=1; sommet[14]=0;
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sommet[15]=0; sommet[16]=0.5; sommet[17]=0;
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sommet[18]=0; sommet[19]=0; sommet[20]=0.5;
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sommet[21]=0.5; sommet[22]=0; sommet[23]=0.5;
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sommet[24]=0; sommet[25]=0.5; sommet[26]=0.5;
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sommet[27]=0; sommet[28]=0; sommet[29]=1;
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}
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