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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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// stellipse.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 "stellipse.h"
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#include "st_gestionnaire.h"
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#include "tpl_fonction.h"
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#include "constantegeo.h"
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#include <math.h>
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ST_ELLIPSE::ST_ELLIPSE(long LigneCourante,std::string idori,long axis2,double a,double b):ST_COURBE(LigneCourante,idori),id_axis2_placement_3d(axis2),a(a),b(b)
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{
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}
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ST_ELLIPSE::ST_ELLIPSE(double *xyz,double *dirz,double *dirx,double a,double b):ST_COURBE(),a(a),b(b)
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{
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initialiser(xyz,dirz,dirx);
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}
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long ST_ELLIPSE::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_ELLIPSE::get_a(void)
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{
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return a;
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}
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double ST_ELLIPSE::get_b(void)
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{
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return b;
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}
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void ST_ELLIPSE::evaluer(double t,double *xyz)
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{
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OT_VECTEUR_3D local(a*cos(t),b*sin(t),0.);
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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_ELLIPSE::deriver(double t,double *dxyz)
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{
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OT_VECTEUR_3D local(-a*sin(t),b*cos(t),0.);
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OT_VECTEUR_3D global=repere*local;
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dxyz[0]=global.get_x();
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dxyz[1]=global.get_y();
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dxyz[2]=global.get_z();
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}
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void ST_ELLIPSE::deriver_seconde(double t,double *ddxyz,double* dxyz ,double* xyz )
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{
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OT_VECTEUR_3D local(-a*cos(t),-b*sin(t),0.);
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OT_VECTEUR_3D global=repere*local;
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ddxyz[0]=global.get_x();
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ddxyz[1]=global.get_y();
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ddxyz[2]=global.get_z();
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if (dxyz!=NULL) deriver(t,dxyz);
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if (xyz!=NULL) evaluer(t,xyz);
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}
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void ST_ELLIPSE::inverser(double& t,double *xyz,double precision)
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{
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double sign;
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double valeur;
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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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valeur=vecteur.get_x()/a;
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if (valeur>1) valeur=1;
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if (valeur<-1) valeur=-1;
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t=acos(valeur);
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sign=vecteur.get_y()/b;
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if (sign<-0.000001) t= 2.*M_PI-t;
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}
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double ST_ELLIPSE::get_tmin()
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{
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return 0.;
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}
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double ST_ELLIPSE::get_tmax()
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{
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return 2.*M_PI;
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}
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double equation_longueur(ST_ELLIPSE& ellipse,double t)
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{
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return sqrt(ellipse.get_a()*ellipse.get_a()*sin(t)*sin(t)+ellipse.get_b()*ellipse.get_b()*cos(t)*cos(t));
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}
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double ST_ELLIPSE::get_longueur(double t1,double t2,double precis)
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{
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TPL_FONCTION1<double,ST_ELLIPSE,double> longueur_ellipse(*this,equation_longueur);
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return longueur_ellipse.integrer_gauss_2(t1,t2);
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}
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int ST_ELLIPSE::est_periodique(void)
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{
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return 1;
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}
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double ST_ELLIPSE::get_periode(void)
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{
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return 2.*M_PI;
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}
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void ST_ELLIPSE::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 *dirxyzz=dirz->get_direction();
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double *dirxyzx=dirx->get_direction();
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initialiser(xyz,dirxyzz,dirxyzx);
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}
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void ST_ELLIPSE::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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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_ELLIPSE::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(a);
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param.ajouter(b);
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return MGCo_ELLIPSE;
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}
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void ST_ELLIPSE::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_ELLIPSE::get_param_NURBS(int& indx_premier_ptctr,TPL_LISTE_ENTITE<double> ¶m)
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{
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double xyz[3];
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// The first parameter indicate the code access
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param.ajouter(1);
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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(0);
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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(0);
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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 first control point
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OT_VECTEUR_3D loc(a,0,0);
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OT_VECTEUR_3D 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);
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// the second control point have such local cordinate (rayon,rayon)
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loc.change_y(b);
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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);
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//the third control point have such local cordinate (-rayon,rayon)
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loc.change_x(-a);
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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);
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//The forth point have the local cordinate at(-rayon,rayon)
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loc.change_y(0);
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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);
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//the fifth control point have the corfinate in the local cordinate (-rayon,-rayon)
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loc.change_y(-b);
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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);
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//The sixth control point have the cordiante in the local coordinate (rayon,-rayon)
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loc.change_x(a);
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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);
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//The last control point have the same local cordinate with rhe first control point (rayon, 0)
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loc.change_y(0);
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glob=origine+repere*loc;
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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);
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francois |
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indx_premier_ptctr=15;
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}
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