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francois |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// MAGiC |
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// Jean Christophe Cuilli�re et Vincent FRANCOIS |
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// D�partement de G�nie M�canique - UQTR |
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//------------------------------------------------------------ |
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// Le projet MAGIC est un projet de recherche du d�partement |
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// de g�nie m�canique de l'Universit� du Qu�bec � |
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// Trois Rivi�res |
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// Les librairies ne peuvent �tre utilis�es 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 � 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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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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// 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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param.ajouter(0.25); |
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param.ajouter(0.5); |
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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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// 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: { |
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rx=rayon; |
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ry=0; |
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w=1; |
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break; |
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} |
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case 1: { |
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rx=rayon; |
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ry=rayon; |
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w=0.5; |
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break; |
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} |
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case 2: { |
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rx=-rayon; |
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ry=rayon; |
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w=0.5; |
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break; |
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} |
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case 3: { |
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rx=-rayon; |
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ry=0; |
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w=1; |
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break; |
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} |
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case 4: { |
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rx=-rayon; |
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ry=-rayon; |
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w=0.5; |
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break; |
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} |
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case 5: { |
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rx=rayon; |
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ry=-rayon; |
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w=0.5; |
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break; |
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} |
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case 6: { |
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rx=rayon; |
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ry=0; |
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w=1; |
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break; |
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} |
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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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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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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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indx_premier_ptctr=22; |
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} |