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//------------------------------------------------------------
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//------------------------------------------------------------
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// MAGiC
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// Jean Christophe Cuillière et Vincent FRANCOIS
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// Département de Génie Mécanique - UQTR
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//------------------------------------------------------------
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// Le projet MAGIC est un projet de recherche du département
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// de génie mécanique de l'Université du Québec à
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// Trois Rivières
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// Les librairies ne peuvent être utilisées sans l'accord
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// des auteurs (contact : francois@uqtr.ca)
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//------------------------------------------------------------
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//------------------------------------------------------------
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//
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// stspherical.cpp
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//
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//------------------------------------------------------------
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//------------------------------------------------------------
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// COPYRIGHT 2000
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// Version du 02/03/2006 à 11H24
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//------------------------------------------------------------
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//------------------------------------------------------------
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#include "gestionversion.h"
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#include "stspherical.h"
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#include "st_gestionnaire.h"
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#include "constantegeo.h"
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#include <math.h>
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ST_SPHERICAL::ST_SPHERICAL(long LigneCourante,std::string idori,long axis2,double ray):ST_SURFACE(LigneCourante,idori),id_axis2_placement_3d(axis2),rayon(ray)
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{
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}
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ST_SPHERICAL::ST_SPHERICAL(double *xyz,double *dirz,double *dirx,double ray):ST_SURFACE(),rayon(ray)
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{
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initialiser(xyz,dirz,dirx);
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}
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long ST_SPHERICAL::get_id_axis2_placement_3d(void)
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{
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return id_axis2_placement_3d;
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}
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double ST_SPHERICAL::get_rayon(void)
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{
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return rayon;
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}
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void ST_SPHERICAL::evaluer(double *uv,double *xyz)
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{
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OT_VECTEUR_3D local(rayon*cos(uv[1])*cos(uv[0]),rayon*cos(uv[1])*sin(uv[0]),rayon*sin(uv[1]));
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OT_VECTEUR_3D global=origine+repere*local;
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xyz[0]=global.get_x();
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xyz[1]=global.get_y();
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xyz[2]=global.get_z();
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}
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void ST_SPHERICAL::deriver(double *uv,double *xyzdu, double *xyzdv)
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{
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OT_VECTEUR_3D localu(-rayon*sin(uv[0])*cos(uv[1]),rayon*cos(uv[0])*cos(uv[1]),0.);
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OT_VECTEUR_3D localv(-rayon*sin(uv[1])*cos(uv[0]),-rayon*sin(uv[1])*sin(uv[0]),rayon*cos(uv[1]));
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OT_VECTEUR_3D globalu=repere*localu;
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OT_VECTEUR_3D globalv=repere*localv;
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xyzdu[0]=globalu.get_x();
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xyzdu[1]=globalu.get_y();
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xyzdu[2]=globalu.get_z();
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xyzdv[0]=globalv.get_x();
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xyzdv[1]=globalv.get_y();
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xyzdv[2]=globalv.get_z();
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}
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void ST_SPHERICAL::deriver_seconde(double *uv,double* xyzduu,double* xyzduv,double* xyzdvv,double *xyz , double *xyzdu , double *xyzdv )
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{
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OT_VECTEUR_3D localuu(-rayon*cos(uv[1])*cos(uv[0]),-rayon*cos(uv[1])*sin(uv[0]),0.);
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OT_VECTEUR_3D localuv(rayon*sin(uv[0])*sin(uv[1]),-rayon*cos(uv[0])*sin(uv[1]),0.);
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OT_VECTEUR_3D localvv(-rayon*cos(uv[1])*cos(uv[0]),-rayon*cos(uv[1])*sin(uv[0]),-rayon*sin(uv[1]));
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OT_VECTEUR_3D globaluu=repere*localuu;
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OT_VECTEUR_3D globaluv=repere*localuv;
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OT_VECTEUR_3D globalvv=repere*localvv;
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xyzduu[0]=globaluu.get_x();
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xyzduu[1]=globaluu.get_y();
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xyzduu[2]=globaluu.get_z();
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xyzduv[0]=globaluv.get_x();
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xyzduv[1]=globaluv.get_y();
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xyzduv[2]=globaluv.get_z();
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xyzdvv[0]=globalvv.get_x();
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xyzdvv[1]=globalvv.get_y();
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xyzdvv[2]=globalvv.get_z();
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if ((xyzdu!=NULL) && (xyzdv!=NULL ) ) deriver(uv,xyzdu,xyzdv);
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if (xyz!=NULL) evaluer(uv,xyz);
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}
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void ST_SPHERICAL::inverser(double *uv,double *xyz,double precision)
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{
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double sign;
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OT_VECTEUR_3D global(xyz[0],xyz[1],xyz[2]);
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OT_MATRICE_3D transpose_repere;
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repere.transpose(transpose_repere);
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OT_VECTEUR_3D vecteur=transpose_repere*(global-origine);
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double valeur1;
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valeur1=vecteur.get_z()/rayon;
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if (valeur1>1) valeur1=1;
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if (valeur1<-1) valeur1=-1;
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uv[1]=asin(valeur1);
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double valeur2;
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valeur2=vecteur.get_x()/(rayon*cos(uv[1]));
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if (valeur2>1) valeur2=1;
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if (valeur2<-1) valeur2=-1;
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uv[0]=acos(valeur2);
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sign=vecteur.get_y()/(rayon*cos(uv[1]));
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if (sign<-0.000001) uv[0]= 2.*M_PI-uv[0];
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}
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int ST_SPHERICAL::est_periodique_u(void)
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{
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return 1;
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}
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int ST_SPHERICAL::est_periodique_v(void)
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{
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return 0;
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}
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double ST_SPHERICAL::get_periode_u(void)
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{
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return 2.*M_PI;
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}
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double ST_SPHERICAL::get_periode_v(void)
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{
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return 0;
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}
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double ST_SPHERICAL::get_umin(void)
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{
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return 0.;
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}
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double ST_SPHERICAL::get_umax(void)
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{
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return 2.*M_PI;
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}
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double ST_SPHERICAL::get_vmin(void)
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{
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return -M_PI/2.;
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}
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double ST_SPHERICAL::get_vmax(void)
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{
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return M_PI/2.;
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}
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void ST_SPHERICAL::initialiser(ST_GESTIONNAIRE *gest)
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{
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ST_AXIS2_PLACEMENT_3D* axe=gest->lst_axis2_placement_3d.getid(id_axis2_placement_3d);
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ST_DIRECTION* dirz=gest->lst_direction.getid(axe->get_id_direction1());
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ST_DIRECTION* dirx=gest->lst_direction.getid(axe->get_id_direction2());
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ST_POINT* point=gest->lst_point.getid(axe->get_id_point());
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double xyz[3];
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point->evaluer(xyz);
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double *directz=dirz->get_direction();
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double *directx=dirx->get_direction();
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initialiser(xyz,directz,directx);
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}
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void ST_SPHERICAL::initialiser(double *xyz,double *dirz, double *dirx)
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{
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origine.change_x(xyz[0]);
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origine.change_y(xyz[1]);
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origine.change_z(xyz[2]);
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double axez[3]={0.,0.,1.};
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double axex[3]={1.,0.,0.};
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if (dirz==NULL)
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{
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dirz=axez;
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dirx=axex;
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}
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OT_VECTEUR_3D z(dirz[0],dirz[1],dirz[2]);
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z.norme();
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OT_VECTEUR_3D x(dirx[0],dirx[1],dirx[2]);
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x.norme();
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OT_VECTEUR_3D y=z&x;
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repere.change_vecteur1(x);
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repere.change_vecteur2(y);
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repere.change_vecteur3(z);
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}
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int ST_SPHERICAL::get_type_geometrique(TPL_LISTE_ENTITE<double> ¶m)
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{
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param.ajouter(origine.get_x());
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param.ajouter(origine.get_y());
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param.ajouter(origine.get_z());
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param.ajouter(rayon);
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return MGCo_SPHERE;
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}
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void ST_SPHERICAL::est_util(ST_GESTIONNAIRE* gest)
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{
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util=true;
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gest->lst_axis2_placement_3d.getid(id_axis2_placement_3d)->est_util(gest);
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}
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francois |
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void ST_SPHERICAL:: get_param_NURBS(int& indx_premier_ptctr,TPL_LISTE_ENTITE<double> ¶m)
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{
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// The first parameter indicate the code access
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param.ajouter(2);
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// The follewing two parameters of the list indicate the orders of the net points
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param.ajouter(4);
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param.ajouter(4);
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// The follewing two parameters indicate the number of rows and colons of the control points
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// respectively to the two parameters directions
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param.ajouter(4);
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param.ajouter(7);
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// this present the knot vector in the u-direction
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param.ajouter(0);
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param.ajouter(0);
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param.ajouter(0);
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param.ajouter(0.5);
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param.ajouter(1);
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param.ajouter(1);
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param.ajouter(1);
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francois |
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// the following is the V_knots of the semicircle in the direction V
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param.ajouter(0);
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param.ajouter(0);
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param.ajouter(0);
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francois |
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param.ajouter(0.25);
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param.ajouter(0.5);
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francois |
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param.ajouter(0.5);
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param.ajouter(0.75);
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param.ajouter(1);
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param.ajouter(1);
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param.ajouter(1);
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francois |
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// the weight of the controle point are given in this vecteur wi={1,0.5,0.5,1}
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// Notice that the controle point at the north and south poles of the sphere
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// are repeated sventh times P0,0=....=P6,0 and P0,3=....=P0,3
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double xyz[3];
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double w;
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double rx=0.;
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double ry=0.;
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double rz=rayon;
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//==========================================
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//POLE 1
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//==========================================
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OT_VECTEUR_3D loc(0,0,rz);
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OT_VECTEUR_3D glob=origine+repere*loc;
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double pole1_x=glob.get_x();
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double pole1_y=glob.get_y();
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double pole1_z=glob.get_z();
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//==========================================
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//POLE 2
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//==========================================
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loc.change_z(-rz);
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glob=origine+repere*loc;
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double pole2_x=glob.get_x();
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double pole2_y=glob.get_y();
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double pole2_z=glob.get_z();
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//==========================================
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for(int v=0;v<7;v++)
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{
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switch (v){
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case 0: {rx=rayon;ry=0;w=1; break;}
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case 1: {rx=rayon;ry=rayon;w=0.5; break;}
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case 2: {rx=-rayon;ry=rayon;w=0.5; break;}
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case 3: {rx=-rayon;ry=0;w=1; break;}
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case 4: {rx=-rayon;ry=-rayon;w=0.5; break;}
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case 5: {rx=rayon;ry=-rayon;w=0.5; break;}
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case 6: {rx=rayon;ry=0;w=1; break;}
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}
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//P0j
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param.ajouter(pole1_x);
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param.ajouter(pole1_y);
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param.ajouter(pole1_z);
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param.ajouter(1*w);
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//P1j
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loc.change_x(rx);
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loc.change_y(ry);
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francois |
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loc.change_z(pole1_z);
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glob=origine+repere*loc;
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xyz[0]=glob.get_x();
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xyz[1]=glob.get_y();
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xyz[2]=glob.get_z();
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param.ajouter(xyz[0]);
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param.ajouter(xyz[1]);
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param.ajouter(xyz[2]);
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param.ajouter(0.5*w);
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//P2j
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francois |
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loc.change_z(pole2_z);
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glob=origine+repere*loc;
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xyz[0]=glob.get_x();
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xyz[1]=glob.get_y();
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xyz[2]=glob.get_z();
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param.ajouter(xyz[0]);
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param.ajouter(xyz[1]);
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param.ajouter(xyz[2]);
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param.ajouter(0.5*w);
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//P3j
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param.ajouter(pole2_x);
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param.ajouter(pole2_y);
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param.ajouter(pole2_z);
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param.ajouter(1*w);
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}
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francois |
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indx_premier_ptctr=22;
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}
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