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foucault |
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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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// sttoroidal.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 "sttoroidal.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_TOROIDAL::ST_TOROIDAL(long LigneCourante,std::string idori,long axis2,double grand,double petit):ST_SURFACE(LigneCourante,idori),id_axis2_placement_3d(axis2),grandray(grand),petitray(petit) |
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{ |
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} |
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ST_TOROIDAL::ST_TOROIDAL(double *xyz, double *dirz,double grand,double petit):ST_SURFACE(),grandray(grand),petitray(petit) |
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{ |
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initialiser(xyz,dirz); |
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} |
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long ST_TOROIDAL::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_TOROIDAL::get_grandray(void) |
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{ |
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return grandray; |
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} |
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double ST_TOROIDAL::get_petitray(void) |
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{ |
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return petitray; |
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} |
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void ST_TOROIDAL::evaluer(double *uv,double *xyz) |
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{ |
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OT_VECTEUR_3D local((grandray+petitray*cos(uv[1]))*cos(uv[0]),(grandray+petitray*cos(uv[1]))*sin(uv[0]),petitray*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_TOROIDAL::deriver(double *uv,double *xyzdu, double *xyzdv) |
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{ |
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OT_VECTEUR_3D localu(-(grandray+petitray*cos(uv[1]))*sin(uv[0]),(grandray+petitray*cos(uv[1]))*cos(uv[0]),0.); |
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OT_VECTEUR_3D localv(-petitray*sin(uv[1])*cos(uv[0]),-petitray*sin(uv[1])*sin(uv[0]),petitray*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_TOROIDAL::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(-(grandray+petitray*cos(uv[1]))*cos(uv[0]),-(grandray+petitray*cos(uv[1]))*sin(uv[0]),0.); |
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OT_VECTEUR_3D localuv(petitray*sin(uv[1])*sin(uv[0]),-petitray*sin(uv[1])*cos(uv[0]),0.); |
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OT_VECTEUR_3D localvv(-petitray*cos(uv[1])*cos(uv[0]),-petitray*cos(uv[1])*sin(uv[0]),-petitray*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_TOROIDAL::inverser(double *uv,double *xyz,double precision) |
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{ |
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double sign; |
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double valeur1; |
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double valeur3; |
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double variable; |
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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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valeur1=vecteur.get_z()/petitray; |
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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 cosv=cos(uv[1]); |
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double cosv1=(-grandray+sqrt(vecteur.get_x()*vecteur.get_x()+vecteur.get_y()*vecteur.get_y()))/petitray; |
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if ( cosv*cosv1 < -0.000001 ) uv[1]= M_PI-uv[1]; |
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valeur3=vecteur.get_x()/(grandray+petitray*cos(uv[1])); |
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if (valeur3>1) valeur3=1; |
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if (valeur3<-1) valeur3=-1; |
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uv[0]=acos(valeur3); |
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sign=vecteur.get_y()/(grandray+petitray*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_TOROIDAL::est_periodique_u(void) |
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{ |
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return 1; |
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} |
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int ST_TOROIDAL::est_periodique_v(void) |
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{ |
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return 1; |
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} |
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double ST_TOROIDAL::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_TOROIDAL::get_periode_v(void) |
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{ |
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return 2.*M_PI; |
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} |
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double ST_TOROIDAL::get_umin(void) |
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{ |
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return 0.; |
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} |
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double ST_TOROIDAL::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_TOROIDAL::get_vmin(void) |
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{ |
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return 0.; |
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} |
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double ST_TOROIDAL::get_vmax(void) |
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{ |
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return 2.*M_PI; |
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} |
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void ST_TOROIDAL::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_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 *dirnorm=dirz->get_direction(); |
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initialiser(xyz,dirnorm); |
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} |
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void ST_TOROIDAL::initialiser(double *xyz,double *dirz) |
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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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OT_VECTEUR_3D vec_z(dirz[0],dirz[1],dirz[2]); |
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vec_z.norme(); |
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if (!(OPERATEUR::egal(vec_z.get_x(),0.,0.000001))) |
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{ |
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x[0]=vec_z.get_y(); |
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x[1]=(-vec_z.get_x()); |
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x[2]=0.; |
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} |
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else if (!(OPERATEUR::egal(vec_z.get_y(),0.,0.000001))) |
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{ |
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x[0]=0.; |
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x[1]=(-vec_z.get_z()); |
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x[2]=vec_z.get_y(); |
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} |
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else |
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{ |
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x[0]=vec_z.get_z(); |
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x[1]=0.; |
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x[2]=0.; |
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} |
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OT_VECTEUR_3D vec_x(x); |
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vec_x.norme(); |
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OT_VECTEUR_3D vec_y=vec_z&vec_x; |
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repere.change_vecteur1(vec_x); |
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repere.change_vecteur2(vec_y); |
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repere.change_vecteur3(vec_z); |
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} |
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int ST_TOROIDAL::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(repere.get_vecteur1().get_x()); |
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param.ajouter(repere.get_vecteur1().get_y()); |
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param.ajouter(repere.get_vecteur1().get_z()); |
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param.ajouter(repere.get_vecteur3().get_x()); |
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param.ajouter(repere.get_vecteur3().get_y()); |
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param.ajouter(repere.get_vecteur3().get_z()); |
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param.ajouter(grandray); |
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param.ajouter(petitray); |
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return MGCo_TORE; |
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} |
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void ST_TOROIDAL::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_TOROIDAL:: 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(7); |
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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(0.25); |
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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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// 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(0.25); |
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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 construction of the polygon control of toroid surface is obtained by rotating the |
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// the controle polygon of one circle along the other circle. |
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double xyz[3]; |
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double w; |
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double rx,ry,rz; |
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double rp=grandray-petitray; |
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double rg=grandray+petitray; |
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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=0;ry=rp;rz=0;w=1; break;} |
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case 1: {rx=-rp;ry=rp;rz=0;w=0.5; break;} |
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case 2: {rx=-rp;ry=-rp;rz=0;w=0.5; break;} |
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case 3: {rx=-rp;ry=0;rz=0;w=1; break;} |
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case 4: {rx=rp;ry=-rp;rz=0;w=0.5; break;} |
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case 5: {rx=0;ry=rp;rz=0;w=0.5; break;} |
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case 6: {rx=0;ry=rp;rz=0;w=1; break;} |
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} |
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//P0j |
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OT_VECTEUR_3D loc(rx,ry,rz); |
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OT_VECTEUR_3D glob=origine+repere*loc; |
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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(1*w); |
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//P1j |
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loc.change_z(-petitray); |
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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_y(rg); |
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if(v==1||v==2||v==4||v==5) loc.change_x(rg); |
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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]); |
| 346 |
|
|
param.ajouter(0.5*w); |
| 347 |
|
|
|
| 348 |
|
|
//P3j |
| 349 |
|
|
|
| 350 |
|
|
loc.change_z(0); |
| 351 |
|
|
|
| 352 |
|
|
glob=origine+repere*loc; |
| 353 |
|
|
|
| 354 |
|
|
xyz[0]=glob.get_x(); |
| 355 |
|
|
xyz[1]=glob.get_y(); |
| 356 |
|
|
xyz[2]=glob.get_z(); |
| 357 |
|
|
|
| 358 |
|
|
param.ajouter(xyz[0]); |
| 359 |
|
|
param.ajouter(xyz[1]); |
| 360 |
|
|
param.ajouter(xyz[2]); |
| 361 |
|
|
param.ajouter(1*w); |
| 362 |
|
|
|
| 363 |
|
|
//P4j |
| 364 |
|
|
|
| 365 |
|
|
loc.change_z(petitray); |
| 366 |
|
|
|
| 367 |
|
|
glob=origine+repere*loc; |
| 368 |
|
|
|
| 369 |
|
|
xyz[0]=glob.get_x(); |
| 370 |
|
|
xyz[1]=glob.get_y(); |
| 371 |
|
|
xyz[2]=glob.get_z(); |
| 372 |
|
|
|
| 373 |
|
|
param.ajouter(xyz[0]); |
| 374 |
|
|
param.ajouter(xyz[1]); |
| 375 |
|
|
param.ajouter(xyz[2]); |
| 376 |
|
|
param.ajouter(0.5*w); |
| 377 |
|
|
|
| 378 |
|
|
//P5j |
| 379 |
|
|
|
| 380 |
|
|
loc.change_y(rp); |
| 381 |
|
|
if(v==1||v==2||v==4||v==5) loc.change_x(rp); |
| 382 |
|
|
|
| 383 |
|
|
glob=origine+repere*loc; |
| 384 |
|
|
|
| 385 |
|
|
xyz[0]=glob.get_x(); |
| 386 |
|
|
xyz[1]=glob.get_y(); |
| 387 |
|
|
xyz[2]=glob.get_z(); |
| 388 |
|
|
|
| 389 |
|
|
param.ajouter(xyz[0]); |
| 390 |
|
|
param.ajouter(xyz[1]); |
| 391 |
|
|
param.ajouter(xyz[2]); |
| 392 |
|
|
param.ajouter(0.5*w); |
| 393 |
|
|
//P5j |
| 394 |
|
|
|
| 395 |
|
|
loc.change_z(0); |
| 396 |
|
|
|
| 397 |
|
|
glob=origine+repere*loc; |
| 398 |
|
|
|
| 399 |
|
|
xyz[0]=glob.get_x(); |
| 400 |
|
|
xyz[1]=glob.get_y(); |
| 401 |
|
|
xyz[2]=glob.get_z(); |
| 402 |
|
|
|
| 403 |
|
|
param.ajouter(xyz[0]); |
| 404 |
|
|
param.ajouter(xyz[1]); |
| 405 |
|
|
param.ajouter(xyz[2]); |
| 406 |
|
|
param.ajouter(1*w); |
| 407 |
|
|
|
| 408 |
|
|
} |
| 409 |
|
|
|
| 410 |
|
|
indx_premier_ptctr=25; |
| 411 |
|
|
} |
| 412 |
|
|
|
