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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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// mg_arete.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 11H22
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//------------------------------------------------------------
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//------------------------------------------------------------
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#include "gestionversion.h"
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#include "mg_arete.h"
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souaissa |
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#include "vct_arete.h"
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//#include "message.h"
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//#include "affiche.h"
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#include "geom.h"
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#include <math.h>
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#include "ot_mathematique.h"
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#include "constantegeo.h"
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souaissa |
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#define PI 3.1415926535897932384626433832795
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souaissa |
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MG_ARETE::MG_ARETE(std::string idori,unsigned long num,MG_COSOMMET* mgcosom1,MG_COSOMMET* mgcosom2,MG_COURBE* crb,int sens):MG_ELEMENT_TOPOLOGIQUE(num,idori),cosommet1(mgcosom1),cosommet2(mgcosom2),courbe(crb),orientation(sens),vect(NULL)
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{
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}
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souaissa |
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MG_ARETE::MG_ARETE(std::string idori,MG_COSOMMET* mgcosom1,MG_COSOMMET* mgcosom2,MG_COURBE* crb,int sens):MG_ELEMENT_TOPOLOGIQUE(idori),cosommet1(mgcosom1),cosommet2(mgcosom2),courbe(crb),orientation(sens),vect(NULL)
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{
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}
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souaissa |
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MG_ARETE::MG_ARETE(MG_ARETE& mdd):MG_ELEMENT_TOPOLOGIQUE(mdd),cosommet1(mdd.cosommet1),cosommet2(mdd.cosommet2),courbe(mdd.courbe),orientation(mdd.orientation),vect(NULL)
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{
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}
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souaissa |
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MG_ARETE::MG_ARETE(std::string idori,unsigned long num,class MG_COURBE* crb,int sens):MG_ELEMENT_TOPOLOGIQUE(num,idori),courbe(crb),orientation(sens),vect(NULL)
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{
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}
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souaissa |
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MG_ARETE::MG_ARETE(std::string idori,class MG_COURBE* crb,int sens):MG_ELEMENT_TOPOLOGIQUE(idori),courbe(crb),orientation(sens),vect(NULL)
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{
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}
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MG_ARETE::~MG_ARETE()
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{
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// if (lst_coarete.size()!=0) afficheur << WARCOARETE << this->get_id()<< enderr;
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segment.vide();
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souaissa |
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if (vect!=NULL) delete vect;
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}
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void MG_ARETE::changer_cosommet1(class MG_COSOMMET* cosom)
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{
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cosommet1=cosom;
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}
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void MG_ARETE::changer_cosommet2(class MG_COSOMMET* cosom)
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{
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cosommet2=cosom;
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}
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MG_COSOMMET* MG_ARETE::get_cosommet1(void)
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{
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return cosommet1;
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}
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MG_COSOMMET* MG_ARETE::get_cosommet2(void)
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{
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return cosommet2;
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}
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MG_COURBE* MG_ARETE::get_courbe(void)
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{
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return courbe;
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}
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int MG_ARETE::get_orientation(void)
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{
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return orientation;
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}
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void MG_ARETE::ajouter_mg_coarete(class MG_COARETE* coarete)
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{
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lst_coarete.insert(lst_coarete.end(),coarete);
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}
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int MG_ARETE::get_nb_mg_coarete(void)
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{
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return lst_coarete.size();
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}
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void MG_ARETE::evaluer(double t,double *xyz)
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{
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if (orientation!=MEME_SENS) t=courbe->get_tmin()+courbe->get_tmax()-t;
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courbe->evaluer(t,xyz);
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}
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void MG_ARETE::deriver(double t,double *xyz)
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{
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if (orientation!=MEME_SENS) t=courbe->get_tmin()+courbe->get_tmax()-t;
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courbe->deriver(t,xyz);
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if (orientation!=MEME_SENS)
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{
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xyz[0]=-xyz[0];
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xyz[1]=-xyz[1];
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xyz[2]=-xyz[2];
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}
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}
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void MG_ARETE::deriver_seconde(double t,double *ddxyz,double* dxyz,double* xyz)
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{
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if (orientation!=MEME_SENS) t=courbe->get_tmin()+courbe->get_tmax()-t;
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courbe->deriver_seconde(t,ddxyz,dxyz,xyz);
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if (orientation!=MEME_SENS)
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{
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dxyz[0]=-dxyz[0];
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dxyz[1]=-dxyz[1];
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dxyz[2]=-dxyz[2];
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}
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}
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void MG_ARETE::inverser(double& t,double *xyz,double precision)
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{
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courbe->inverser(t,xyz,precision);
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if (orientation!=MEME_SENS) t=courbe->get_tmin()+courbe->get_tmax()-t;
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}
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double MG_ARETE::get_tmin(void)
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{
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return cosommet1->get_t();
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}
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double MG_ARETE::get_tmax(void)
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{
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if (!courbe->est_periodique()) return cosommet2->get_t();
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double tmin=cosommet1->get_t();
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double tmax=cosommet2->get_t();
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if (tmax<tmin+1e-6) tmax=tmax+courbe->get_periode();
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return tmax;
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}
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double MG_ARETE::get_longueur(double t1,double t2,double precis)
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{
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if (orientation!=MEME_SENS)
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{
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t1=courbe->get_tmin()+courbe->get_tmax()-t1;
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t2=courbe->get_tmin()+courbe->get_tmax()-t2;
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return (-courbe->get_longueur(t1,t2,precis));
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}
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return courbe->get_longueur(t1,t2,precis);
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}
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double MG_ARETE::get_M(double t)
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{
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if (orientation!=MEME_SENS) t=courbe->get_tmin()+courbe->get_tmax()-t;
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return courbe->get_M(t);
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}
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void MG_ARETE::supprimer_mg_coarete(class MG_COARETE* coarete)
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{
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std::vector<MG_COARETE*>::iterator i;
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for (i=lst_coarete.begin();i!=lst_coarete.end();i++)
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{
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if ((*i)==coarete)
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{
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lst_coarete.erase(i);
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return;
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}
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}
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}
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MG_COARETE* MG_ARETE::get_mg_coarete(int num)
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{
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return lst_coarete[num];
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}
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TPL_LISTE_ENTITE<class MG_SEGMENT*>* MG_ARETE::get_lien_segement(void)
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{
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return &segment;
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}
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int MG_ARETE::get_dimension(void)
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{
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return 1;
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}
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souaissa |
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VCT& MG_ARETE::get_vectorisation(void)
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{
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if (vect==NULL) vect=new VCT_ARETE(this);
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return *vect;
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}
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void MG_ARETE::enregistrer(std::ostream& o)
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{
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int nb=get_nb_ccf();
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o << "%" << get_id() << "=ARETE("<< get_idoriginal() << ",$" << courbe->get_id() << ",$"<<cosommet1->get_id() << ",$" <<cosommet2->get_id() << "," << orientation << "," << nb;
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if (nb!=0)
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{
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o << ",(";
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for (int i=0;i<nb;i++)
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{
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char nom[3];
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get_type_ccf(i,nom);
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o << "(" << nom << "," << get_valeur_ccf(i) << ")";
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if (i!=nb-1) o << "," ;
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}
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o << ")";
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}
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o << ");" << std::endl;
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}
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souaissa |
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void MG_ARETE::get_intersection(double t1, double t2,double* point_iners)
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{
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souaissa |
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OT_VECTEUR_3D P1_INTERSECTION;
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double U,W;
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double xyz2[3];
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double xyz1[3];
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souaissa |
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double drv1[3];
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double drv2[3];
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francois |
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evaluer(t1,xyz1);
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souaissa |
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deriver(t1,drv1);
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francois |
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evaluer(t2,xyz2);
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souaissa |
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deriver(t2,drv2);
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souaissa |
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OT_VECTEUR_3D a(xyz1) ;
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OT_VECTEUR_3D b(drv1) ;
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OT_VECTEUR_3D c(xyz2) ;
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OT_VECTEUR_3D d(drv2) ;
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OT_VECTEUR_3D f=c-a;
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d=-d;
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double det1=b[0]*d[1]-b[1]*d[0];
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double det2=b[0]*d[2]-b[2]*d[0];
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double det3=b[1]*d[2]-b[2]*d[1];
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souaissa |
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bool c_fait=false;
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souaissa |
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if(fabs(det1)>=1e-10)
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{
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double u,w;
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u=(d[1]*f[0]-d[0]*f[1])/det1;
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w=(b[0]*f[1]-b[1]*f[0])/det1;
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double verif_x=a[2] +u*b[2];
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double verif_y=c[2]-w*d[2];
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if(fabs(verif_x-verif_y)<0.000001)
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{
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U=u ;
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W=w ;
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c_fait=true;
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}
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souaissa |
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}
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souaissa |
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if (!c_fait&&fabs(det2)>=1e-10)
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{
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double u,w;
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u=(d[2]*f[0]-d[0]*f[2])/det2;
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w=(b[0]*f[2]-b[2]*f[0])/det2;
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double verif_x=a[1]+u*b[1];
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double verif_y=c[1]-w*d[1];
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if(fabs(verif_x-verif_y)<0.000001)
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{
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U=u ;
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W=w ;
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c_fait=true;
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}
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}
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souaissa |
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if (!c_fait&&fabs(det3)>=1e-10)
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{
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double u,w;
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u=(d[2]*f[1]-d[1]*f[2])/det3;
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w=(b[1]*f[2]-b[2]*f[1])/det3;
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double verif_x=a[0] +u*b[0];
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double verif_y=c[0]-w*d[0];
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if(fabs(verif_x-verif_y)<0.000001)
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{
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U=u ;
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W=w ;
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c_fait=true;
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}
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}
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souaissa |
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P1_INTERSECTION=a+U*b;
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francois |
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point_iners[0]=P1_INTERSECTION[0];
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point_iners[1]=P1_INTERSECTION[1];
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point_iners[2]=P1_INTERSECTION[2];
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francois |
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}
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francois |
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void MG_ARETE:: get_param_NURBS(int& indx_premier_ptctr,TPL_LISTE_ENTITE<double> ¶m)
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{
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francois |
19 |
TPL_LISTE_ENTITE<double> param1;
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int type=courbe->get_type_geometrique(param1);
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souaissa |
73 |
double tcs1=get_tmin();
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double tcs2=get_tmax();
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double angle=tcs1-tcs2;
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if((type==MGCo_CIRCLE||type==MGCo_ELLIPSE)&&(tcs1!=tcs2)&&fabs(angle)!=2*PI)
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325 |
francois |
19 |
{
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double xyz[3];
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param.ajouter(1);
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param.ajouter(4);
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param.ajouter(0);
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param.ajouter(7);
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param.ajouter(0);
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souaissa |
73 |
double arc_lengh= get_longueur(tcs1,tcs2);
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double rayon=arc_lengh/fabs(angle);
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336 |
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5 |
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souaissa |
73 |
double dif=fabs(fabs(angle)-PI);
|
338 |
|
|
if (fabs(fabs(angle)-PI)<=1e-6||fabs(angle)-PI<0.) //ouverture inf ou egale a PI
|
339 |
|
|
{
|
340 |
francois |
19 |
|
341 |
|
|
|
342 |
souaissa |
73 |
double request_lengh=arc_lengh/2;
|
343 |
francois |
19 |
|
344 |
|
5 |
param.ajouter(0);
|
345 |
|
|
param.ajouter(0);
|
346 |
|
|
param.ajouter(0);
|
347 |
francois |
19 |
param.ajouter(0.5);
|
348 |
|
|
param.ajouter(0.5);
|
349 |
|
5 |
param.ajouter(1);
|
350 |
|
|
param.ajouter(1);
|
351 |
|
|
param.ajouter(1);
|
352 |
francois |
19 |
|
353 |
|
|
|
354 |
|
|
double xyz1[3];
|
355 |
|
|
double xyz1_inters[3];
|
356 |
souaissa |
73 |
double xyz2_inters[3];
|
357 |
|
|
double xyz2[3];
|
358 |
francois |
19 |
double xyz3[3];
|
359 |
souaissa |
73 |
double t_mid=get_t(tcs1,tcs2,request_lengh);
|
360 |
francois |
19 |
|
361 |
|
|
evaluer(tcs1,xyz1);
|
362 |
|
|
|
363 |
|
|
param.ajouter(xyz1[0]);
|
364 |
|
|
param.ajouter(xyz1[1]);
|
365 |
|
|
param.ajouter(xyz1[2]);
|
366 |
|
5 |
param.ajouter(1);
|
367 |
|
|
|
368 |
souaissa |
73 |
get_intersection(tcs1, t_mid,xyz1_inters);
|
369 |
|
5 |
|
370 |
francois |
19 |
param.ajouter(xyz1_inters[0]);
|
371 |
|
|
param.ajouter(xyz1_inters[1]);
|
372 |
|
|
param.ajouter(xyz1_inters[2]);
|
373 |
|
|
param.ajouter(0.5);
|
374 |
|
|
|
375 |
souaissa |
73 |
get_intersection(t_mid, tcs2,xyz2_inters);
|
376 |
francois |
19 |
|
377 |
|
|
param.ajouter(xyz2_inters[0]);
|
378 |
|
|
param.ajouter(xyz2_inters[1]);
|
379 |
|
|
param.ajouter(xyz2_inters[2]);
|
380 |
|
|
param.ajouter(0.5);
|
381 |
|
|
|
382 |
souaissa |
73 |
evaluer(tcs2,xyz3);
|
383 |
francois |
19 |
|
384 |
|
|
param.ajouter(xyz3[0]);
|
385 |
|
|
param.ajouter(xyz3[1]);
|
386 |
|
5 |
param.ajouter(xyz3[2]);
|
387 |
|
|
param.ajouter(1);
|
388 |
|
|
|
389 |
francois |
19 |
indx_premier_ptctr=13;
|
390 |
|
|
|
391 |
|
|
}
|
392 |
souaissa |
73 |
|
393 |
|
|
if (fabs(fabs(angle)-PI)>1e-6&&fabs(angle)-PI>0.)
|
394 |
francois |
19 |
{
|
395 |
|
|
|
396 |
souaissa |
73 |
double xyz[3];
|
397 |
francois |
19 |
|
398 |
souaissa |
73 |
double lengh_at_pi=rayon*PI;
|
399 |
|
|
double request_lengh=0.5*rayon*PI;
|
400 |
|
|
double t1_milieu=get_t(tcs1,tcs2,request_lengh);
|
401 |
|
|
|
402 |
francois |
19 |
param.ajouter(0);
|
403 |
|
|
param.ajouter(0);
|
404 |
|
|
param.ajouter(0);
|
405 |
|
|
param.ajouter(0.25);
|
406 |
|
|
param.ajouter(0.25);
|
407 |
|
5 |
param.ajouter(0.5);
|
408 |
francois |
19 |
param.ajouter(0.5);
|
409 |
|
|
param.ajouter(0.75);
|
410 |
|
|
param.ajouter(0.75);
|
411 |
|
|
param.ajouter(1);
|
412 |
|
|
param.ajouter(1);
|
413 |
|
|
param.ajouter(1);
|
414 |
|
5 |
|
415 |
|
|
|
416 |
francois |
19 |
|
417 |
souaissa |
73 |
evaluer(tcs1,xyz);
|
418 |
|
|
|
419 |
|
|
param.ajouter(xyz[0]);
|
420 |
|
|
param.ajouter(xyz[1]);
|
421 |
|
|
param.ajouter(xyz[2]);
|
422 |
francois |
19 |
param.ajouter(1);
|
423 |
|
|
|
424 |
souaissa |
73 |
double t2_milieu=get_t(t1_milieu,tcs2,request_lengh);
|
425 |
francois |
19 |
|
426 |
souaissa |
73 |
get_intersection(tcs1,t1_milieu,xyz);
|
427 |
francois |
19 |
|
428 |
souaissa |
73 |
param.ajouter(xyz[0]);
|
429 |
|
|
param.ajouter(xyz[1]);
|
430 |
|
|
param.ajouter(xyz[2]);
|
431 |
|
5 |
param.ajouter(0.5);
|
432 |
|
|
|
433 |
souaissa |
73 |
get_intersection(t1_milieu, t2_milieu,xyz);
|
434 |
|
|
|
435 |
|
|
param.ajouter(xyz[0]);
|
436 |
|
|
param.ajouter(xyz[1]);
|
437 |
|
|
param.ajouter(xyz[2]);
|
438 |
francois |
19 |
param.ajouter(0.5);
|
439 |
|
|
|
440 |
souaissa |
73 |
evaluer(t2_milieu,xyz);
|
441 |
francois |
19 |
|
442 |
souaissa |
73 |
param.ajouter(xyz[0]);
|
443 |
|
|
param.ajouter(xyz[1]);
|
444 |
|
|
param.ajouter(xyz[2]);
|
445 |
|
5 |
param.ajouter(1);
|
446 |
francois |
19 |
|
447 |
souaissa |
73 |
request_lengh=arc_lengh-lengh_at_pi;
|
448 |
|
|
request_lengh=0.5*request_lengh;
|
449 |
francois |
19 |
|
450 |
souaissa |
73 |
t1_milieu=get_t(t2_milieu,tcs2,request_lengh);
|
451 |
francois |
19 |
|
452 |
|
|
|
453 |
souaissa |
73 |
get_intersection(t2_milieu,t1_milieu,xyz);
|
454 |
francois |
19 |
|
455 |
souaissa |
73 |
param.ajouter(xyz[0]);
|
456 |
|
|
param.ajouter(xyz[1]);
|
457 |
|
|
param.ajouter(xyz[2]);
|
458 |
|
|
param.ajouter(0.5);
|
459 |
francois |
19 |
|
460 |
|
|
|
461 |
souaissa |
73 |
get_intersection(t1_milieu,tcs2,xyz);
|
462 |
francois |
19 |
|
463 |
souaissa |
73 |
param.ajouter(xyz[0]);
|
464 |
|
|
param.ajouter(xyz[1]);
|
465 |
|
|
param.ajouter(xyz[2]);
|
466 |
francois |
19 |
param.ajouter(0.5);
|
467 |
|
|
|
468 |
souaissa |
73 |
evaluer(tcs2,xyz);
|
469 |
francois |
19 |
|
470 |
souaissa |
73 |
param.ajouter(xyz[0]);
|
471 |
|
|
param.ajouter(xyz[1]);
|
472 |
|
|
param.ajouter(xyz[2]);
|
473 |
francois |
19 |
param.ajouter(1);
|
474 |
|
|
|
475 |
|
|
indx_premier_ptctr=17;
|
476 |
|
|
}
|
477 |
souaissa |
73 |
|
478 |
|
5 |
}
|
479 |
|
|
|
480 |
|
|
|
481 |
souaissa |
73 |
if ((type==MGCo_ELLIPSE||type==MGCo_CIRCLE)&&OPERATEUR::egal(fabs(angle),2*PI,0.000001))
|
482 |
|
|
courbe->get_param_NURBS(indx_premier_ptctr,param);
|
483 |
|
5 |
|
484 |
souaissa |
73 |
if (type==MGCo_BSPLINE)
|
485 |
francois |
19 |
courbe->get_param_NURBS(indx_premier_ptctr,param);
|
486 |
|
5 |
|
487 |
souaissa |
73 |
if(type==MGCo_LINE)
|
488 |
|
5 |
{
|
489 |
|
|
|
490 |
|
|
param.ajouter(1);
|
491 |
|
|
param.ajouter(2);
|
492 |
francois |
19 |
param.ajouter(0);
|
493 |
|
5 |
param.ajouter(2);
|
494 |
francois |
19 |
param.ajouter(0);
|
495 |
|
5 |
|
496 |
|
|
|
497 |
|
|
param.ajouter(0);
|
498 |
|
|
param.ajouter(0);
|
499 |
|
|
param.ajouter(1);
|
500 |
|
|
param.ajouter(1);
|
501 |
|
|
|
502 |
souaissa |
73 |
double xyz1[3];
|
503 |
|
|
double xyz2[3];
|
504 |
|
5 |
|
505 |
souaissa |
73 |
double tcs1=get_tmin();
|
506 |
|
|
double tcs2=get_tmax();
|
507 |
|
5 |
|
508 |
souaissa |
73 |
evaluer(tcs1,xyz1);
|
509 |
|
5 |
|
510 |
souaissa |
73 |
param.ajouter(xyz1[0]);
|
511 |
|
|
param.ajouter(xyz1[1]);
|
512 |
|
|
param.ajouter(xyz1[2]);
|
513 |
|
5 |
param.ajouter(1);
|
514 |
|
|
|
515 |
souaissa |
73 |
evaluer(tcs2,xyz2);
|
516 |
|
5 |
|
517 |
souaissa |
73 |
param.ajouter(xyz2[0]);
|
518 |
|
|
param.ajouter(xyz2[1]);
|
519 |
|
|
param.ajouter(xyz2[2]);
|
520 |
|
5 |
param.ajouter(1);
|
521 |
francois |
19 |
|
522 |
|
|
indx_premier_ptctr=9;
|
523 |
|
5 |
}
|
524 |
|
|
|
525 |
|
|
}
|
526 |
souaissa |
73 |
|
527 |
|
|
struct integrale{
|
528 |
|
|
double ti;
|
529 |
|
|
double li;
|
530 |
|
|
};
|
531 |
|
|
|
532 |
|
|
double MG_ARETE:: get_t(double t1,double t2,double longueur_voulue,double dt)
|
533 |
|
|
{
|
534 |
|
|
double pt[3];
|
535 |
|
|
double t,ti,tii;
|
536 |
|
|
|
537 |
|
|
//double longueur_voulue,longueur=0;
|
538 |
|
|
double longueur=0;
|
539 |
|
|
std::vector<integrale> tab_integrale;
|
540 |
|
|
//longueur_voulue= alpha *get_longueur(t1,t2);
|
541 |
|
|
|
542 |
|
|
integrale pas;
|
543 |
|
|
ti=t1;
|
544 |
|
|
do
|
545 |
|
|
{
|
546 |
|
|
tii=ti+(t2-t1)*dt;
|
547 |
|
|
|
548 |
|
|
t=0.7886751345*ti+0.2113248654*tii;
|
549 |
|
|
deriver(t,pt);
|
550 |
|
|
|
551 |
|
|
double facteur=pow(pt[0],2)+pow(pt[1],2)+pow(pt[2],2);
|
552 |
|
|
longueur=longueur+0.5*(tii-ti)*sqrt(facteur);
|
553 |
|
|
t=0.7886751345*tii+0.2113248654*ti;
|
554 |
|
|
deriver(t,pt);
|
555 |
|
|
facteur=pow(pt[0],2)+pow(pt[1],2)+pow(pt[2],2);
|
556 |
|
|
longueur=longueur+0.5*(tii-ti)*sqrt(facteur);
|
557 |
|
|
integrale pas;
|
558 |
|
|
pas.ti=ti;
|
559 |
|
|
pas.li=longueur;
|
560 |
|
|
tab_integrale.insert(tab_integrale.end(),pas);
|
561 |
|
|
ti=tii;
|
562 |
|
|
}
|
563 |
|
|
while(fabs(tab_integrale.back().li)<fabs(longueur_voulue));
|
564 |
|
|
|
565 |
|
|
//double t_trouve=0.7886751345*tab_integrale.back().ti+0.2113248654*tab_integrale.back().ti+(t2-t1)*dt;
|
566 |
francois |
77 |
double tn_1=tab_integrale.back().ti;
|
567 |
|
|
double ln_1=tab_integrale[tab_integrale.size()-2].li;
|
568 |
|
|
double tn=ti;
|
569 |
|
|
double ln=tab_integrale.back().li;
|
570 |
|
|
|
571 |
|
|
|
572 |
|
|
double t_trouve=tn_1+(tn-tn_1)/(ln-ln_1)*(longueur_voulue-ln_1);
|
573 |
|
|
return t_trouve ;
|
574 |
souaissa |
73 |
}
|
575 |
|
|
|