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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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// sat_ellipse.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 "sat_ellipse.h"
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#include "tpl_fonction.h"
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#include "ot_mathematique.h"
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#include "constantegeo.h"
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#include <math.h>
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SAT_ELLIPSE::SAT_ELLIPSE(unsigned long num):SAT_COURBE(num)
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{
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}
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SAT_ELLIPSE::SAT_ELLIPSE():SAT_COURBE()
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{
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}
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SAT_ELLIPSE::~SAT_ELLIPSE()
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{
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}
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void SAT_ELLIPSE::evaluer(double t,double *xyz)
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{
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xyz[0]=center[0]+major[0]*a*cos(t)+minor[0]*a*ratio*sin(t);
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xyz[1]=center[1]+major[1]*a*cos(t)+minor[1]*a*ratio*sin(t);
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xyz[2]=center[2]+major[2]*a*cos(t)+minor[2]*a*ratio*sin(t);
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}
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void SAT_ELLIPSE::deriver(double t,double *xyz)
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{
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xyz[0]= -major[0]*a*sin(t)+minor[0]*a*ratio*cos(t);
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xyz[1]= -major[1]*a*sin(t)+minor[1]*a*ratio*cos(t);
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xyz[2]= -major[2]*a*sin(t)+minor[2]*a*ratio*cos(t);
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}
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void SAT_ELLIPSE::deriver_seconde(double t,double *ddxyz,double* dxyz ,double* xyz )
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{
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ddxyz[0]= -major[0]*a*cos(t)-minor[0]*a*ratio*sin(t);
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ddxyz[1]= -major[1]*a*cos(t)-minor[1]*a*ratio*sin(t);
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ddxyz[2]= -major[2]*a*cos(t)-minor[2]*a*ratio*sin(t);
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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 SAT_ELLIPSE::inverser(double& t,double *xyz,double precision)
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{
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double vecsol[3],veccoef1[3],veccoef2[3];
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vecsol[0]=xyz[0]-center[0];
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vecsol[1]=xyz[1]-center[1];
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vecsol[2]=xyz[2]-center[2];
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veccoef1[0]=major[0]*a;
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veccoef1[1]=major[1]*a;
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veccoef1[2]=major[2]*a;
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veccoef2[0]=minor[0]*a*ratio;
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veccoef2[1]=minor[1]*a*ratio;
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veccoef2[2]=minor[2]*a*ratio;
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int num1,num2;
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double det= veccoef1[0]*veccoef2[1]-veccoef1[1]*veccoef2[0];
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if (OPERATEUR::egal(det,0.0,0.0001))
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{
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det= veccoef1[0]*veccoef2[2]-veccoef1[2]*veccoef2[0];
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if (OPERATEUR::egal(det,0.0,0.0001))
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{
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det= veccoef1[1]*veccoef2[2]-veccoef1[2]*veccoef2[1];
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num1=1;num2=2;
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}
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else
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{
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num1=0;num2=2;
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}
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}
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else
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{
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num1=0;num2=1;
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}
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double co= (vecsol[num1]*veccoef2[num2]-vecsol[num2]*veccoef2[num1])/det;
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double si= (vecsol[num2]*veccoef1[num1]-vecsol[num1]*veccoef1[num2])/det;
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if (co>1.) co=1.;
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if (co<(-1.)) co=(-1.);
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t=acos(co);
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if (si<-0.0001) t= -t;
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if (t<-0.0001) t=t+2*M_PI;
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}
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double SAT_ELLIPSE::get_tmin()
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{
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return 0.;
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}
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double SAT_ELLIPSE::get_tmax()
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{
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return 2.*M_PI;
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}
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int SAT_ELLIPSE::est_periodique(void)
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{
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return 1;
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}
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double SAT_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 SAT_ELLIPSE::calcul_parametre(void)
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{
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a=sqrt(major[0]*major[0]+major[1]*major[1]+major[2]*major[2]);
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OT_VECTEUR_3D u(major);
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OT_VECTEUR_3D w(normal);
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OT_VECTEUR_3D v=w&u;
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u.norme();
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w.norme();
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v.norme();
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major[0]=u.get_x();
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major[1]=u.get_y();
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major[2]=u.get_z();
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minor[0]=v.get_x();
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minor[1]=v.get_y();
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minor[2]=v.get_z();
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normal[0]=w.get_x();
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normal[1]=w.get_y();
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normal[2]=w.get_z();
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}
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double equation_longueur(SAT_ELLIPSE& ellipse,double t)
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{
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return sqrt(ellipse.a*ellipse.a*sin(t)*sin(t)+ellipse.a*ellipse.a*ellipse.ratio*ellipse.ratio*cos(t)*cos(t));
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}
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double SAT_ELLIPSE::get_longueur(double t1,double t2,double precis)
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{
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if (ratio!=1.)
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{
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TPL_FONCTION1<double,SAT_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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else
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{
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return a*(t2-t1);
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}
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}
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int SAT_ELLIPSE::get_type_geometrique(TPL_LISTE_ENTITE<double> ¶m)
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{
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param.ajouter(center[0]);
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param.ajouter(center[1]);
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param.ajouter(center[2]);
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param.ajouter(major[0]);
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param.ajouter(major[1]);
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param.ajouter(major[2]);
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param.ajouter(normal[0]);
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param.ajouter(normal[1]);
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param.ajouter(normal[2]);
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param.ajouter(a);
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param.ajouter(a*ratio);
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return MGCo_ELLIPSE;
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}
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francois |
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void SAT_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(3);
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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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double ax= a;
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double ay= 0;
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xyz[0]=center[0]+major[0]*ax+minor[0]*ay;
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xyz[1]=center[1]+major[1]*ax+minor[1]*ay;
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xyz[2]=center[2]+major[2]*ax+minor[2]*ay;
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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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ay=a*ratio;
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xyz[0]=center[0]+major[0]*ax+minor[0]*ay;
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xyz[1]=center[1]+major[1]*ax+minor[1]*ay;
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xyz[2]=center[2]+major[2]*ax+minor[2]*ay;
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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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ax=-a;
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xyz[0]=center[0]+major[0]*ax+minor[0]*ay;
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xyz[1]=center[1]+major[1]*ax+minor[1]*ay;
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xyz[2]=center[2]+major[2]*ax+minor[2]*ay;
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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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ay=0;
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xyz[0]=center[0]+major[0]*ax+minor[0]*ay;
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xyz[1]=center[1]+major[1]*ax+minor[1]*ay;
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xyz[2]=center[2]+major[2]*ax+minor[2]*ay;
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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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ay=-a*ratio;
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xyz[0]=center[0]+major[0]*ax+minor[0]*ay;
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xyz[1]=center[1]+major[1]*ax+minor[1]*ay;
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xyz[2]=center[2]+major[2]*ax+minor[2]*ay;
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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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ax=a;
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xyz[0]=center[0]+major[0]*ax+minor[0]*ay;
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xyz[1]=center[1]+major[1]*ax+minor[1]*ay;
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xyz[2]=center[2]+major[2]*ax+minor[2]*ay;
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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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ay=0;
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xyz[0]=center[0]+major[0]*ax+minor[0]*ay;
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xyz[1]=center[1]+major[1]*ax+minor[1]*ay;
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xyz[2]=center[2]+major[2]*ax+minor[2]*ay;
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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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5 |
}
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