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//------------------------------------------------------------
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//------------------------------------------------------------
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// MAGiC
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// Jean Christophe Cuilli�e et Vincent FRANCOIS
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// D�artement de G�ie M�anique - UQTR
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//------------------------------------------------------------
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// Le projet MAGIC est un projet de recherche du d�artement
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// de g�ie m�anique de l'Universit�du Qu�ec �
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// Trois Rivi�es
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// Les librairies ne peuvent �re utilis�s 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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// mailleur1d.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 �11H23
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//------------------------------------------------------------
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//------------------------------------------------------------
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#include "gestionversion.h"
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#include <math.h>
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#include <vector>
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#include "mailleur1d.h"
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//#include "affiche.h"
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//#include "message.h"
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#include <fstream>
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struct integrale
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{
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double ti;
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double li;
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};
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MAILLEUR1D::MAILLEUR1D(MG_MAILLAGE* mgmai,MG_GEOMETRIE *mggeo,MG_ARETE* mgarete,FCT_TAILLE* fct_taille):MAILLEUR(),mg_maillage(mgmai),mg_geometrie(mggeo),mg_arete(mgarete),metrique(fct_taille)
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{
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}
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MAILLEUR1D::~MAILLEUR1D()
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{
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}
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void MAILLEUR1D::maille(void)
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{
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//afficheur << MAILLAGEARETE << endaff;
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if (mg_arete!=NULL) maille(mg_arete);
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else
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{
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int nb_arete=mg_geometrie->get_nb_mg_arete();
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for (int i=0;i<nb_arete;i++)
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{
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MG_ARETE* mgarete=mg_geometrie->get_mg_arete(i);
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maille(mgarete);
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}
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}
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}
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void MAILLEUR1D::maille(MG_ARETE* mgarete,double t1,MG_NOEUD* noeud_depart,double t2,MG_NOEUD* noeud_arrivee)
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{
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int creation_metrique=0;
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if (metrique==NULL)
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{
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metrique=new FCT_TAILLE_ARETE(epsilon,distance_maximale,mgarete);
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creation_metrique=1;
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}
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/* calcul de la longueur de la arete dans la metrique */
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if (fabs(t1)<1e-14)
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if (fabs(t2)<1e-14)
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{
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t1=mgarete->get_tmin();
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t2=mgarete->get_tmax();
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}
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std::vector<integrale> tab_integrale;
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double ti,tii,t;
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double longueur_metrique=0.;
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tii=t1;
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double dt=0.001;
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do
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{
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refresh();
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double coefficient_metrique_ti[9];
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double coefficient_metrique_tii[9];
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double coefficient_metrique_derive_ti[9];
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ti=tii;
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tii=ti+(t2-t1)*dt;
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if (tii>t2) tii=t2;
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#define ON_A_ABANDONNE_ET_ON_PREND_DT_EGALE_T2_MOINS_T1_DIVISE_PAR_1000
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#ifndef ON_A_ABANDONNE_ET_ON_PREND_DT_EGALE_T2_MOINS_T1_DIVISE_PAR_1000
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int bon_dt=0;
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do
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{
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tii=ti+(t2-t1)*dt;
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if (tii>t2) tii=t2;
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double ddxyz[3];
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double dxyz[3];
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double xyz[3];
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double dxyzii[3];
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double xyzii[3];
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mgarete->deriver_seconde(ti,ddxyz,dxyz,xyz);
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mgarete->evaluer(tii,xyzii);
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mgarete->deriver(tii,dxyzii);
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if (creation_metrique)
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{
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metrique->evaluer(&ti,coefficient_metrique_ti);
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metrique->evaluer(&tii,coefficient_metrique_tii);
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metrique->deriver(&ti,coefficient_metrique_derive_ti);
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}
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else
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{
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metrique->evaluer(xyz,coefficient_metrique_ti);
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metrique->evaluer(xyzii,coefficient_metrique_tii);
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metrique->deriver(xyz,coefficient_metrique_derive_ti);
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}
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double facteur1=dxyz[0]*dxyz[0]*coefficient_metrique_ti[0]+dxyz[0]*dxyz[1]*coefficient_metrique_ti[3]+dxyz[0]*dxyz[2]*coefficient_metrique_ti[6]+dxyz[1]*dxyz[0]*coefficient_metrique_ti[1]+dxyz[1]*dxyz[1]*coefficient_metrique_ti[4]+dxyz[1]*dxyz[2]*coefficient_metrique_ti[7]+dxyz[2]*dxyz[0]*coefficient_metrique_ti[2]+dxyz[2]*dxyz[1]*coefficient_metrique_ti[4]+dxyz[2]*dxyz[2]*coefficient_metrique_ti[8];
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double facteur2=ddxyz[0]*dxyz[0]*coefficient_metrique_ti[0]+dxyz[0]*ddxyz[0]*coefficient_metrique_ti[0]+dxyz[0]*dxyz[0]*coefficient_metrique_derive_ti[0]+
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ddxyz[0]*dxyz[1]*coefficient_metrique_ti[3]+dxyz[0]*ddxyz[1]*coefficient_metrique_ti[3]+dxyz[0]*dxyz[1]*coefficient_metrique_derive_ti[3]+
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ddxyz[0]*dxyz[2]*coefficient_metrique_ti[6]+dxyz[0]*ddxyz[2]*coefficient_metrique_ti[6]+dxyz[0]*dxyz[2]*coefficient_metrique_derive_ti[6]+
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ddxyz[1]*dxyz[0]*coefficient_metrique_ti[1]+dxyz[1]*ddxyz[0]*coefficient_metrique_ti[1]+dxyz[1]*dxyz[0]*coefficient_metrique_derive_ti[1]+
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ddxyz[1]*dxyz[1]*coefficient_metrique_ti[4]+dxyz[1]*ddxyz[1]*coefficient_metrique_ti[4]+dxyz[1]*dxyz[1]*coefficient_metrique_derive_ti[4]+
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ddxyz[1]*dxyz[2]*coefficient_metrique_ti[7]+dxyz[1]*ddxyz[2]*coefficient_metrique_ti[7]+dxyz[1]*dxyz[2]*coefficient_metrique_derive_ti[7]+
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ddxyz[2]*dxyz[0]*coefficient_metrique_ti[2]+dxyz[2]*ddxyz[0]*coefficient_metrique_ti[2]+dxyz[2]*dxyz[0]*coefficient_metrique_derive_ti[2]+
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ddxyz[2]*dxyz[1]*coefficient_metrique_ti[4]+dxyz[2]*ddxyz[1]*coefficient_metrique_ti[4]+dxyz[2]*dxyz[1]*coefficient_metrique_derive_ti[4]+
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ddxyz[2]*dxyz[2]*coefficient_metrique_ti[8]+dxyz[2]*ddxyz[2]*coefficient_metrique_ti[8]+dxyz[2]*dxyz[2]*coefficient_metrique_derive_ti[8];
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double facteur3=dxyzii[0]*dxyzii[0]*coefficient_metrique_tii[0]+dxyzii[0]*dxyzii[1]*coefficient_metrique_tii[3]+dxyzii[0]*dxyzii[2]*coefficient_metrique_tii[6]+dxyzii[1]*dxyzii[0]*coefficient_metrique_tii[1]+dxyzii[1]*dxyzii[1]*coefficient_metrique_tii[4]+dxyzii[1]*dxyzii[2]*coefficient_metrique_tii[7]+dxyzii[2]*dxyzii[0]*coefficient_metrique_tii[2]+dxyzii[2]*dxyzii[1]*coefficient_metrique_tii[4]+dxyzii[2]*dxyzii[2]*coefficient_metrique_tii[8];
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double residu=fabs(sqrt(facteur3)-sqrt(facteur1)-1./2./sqrt(facteur1)*facteur2*(tii-ti));
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//if (residu>0.01) dt=dt/2.; else {dt=dt*2;bon_dt=1;}
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//if (dt<1e-4) {dt=1e-4;bon_dt=1;}
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//if (dt>0.25) {dt=0.25;bon_dt=1;}
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bon_dt=1;
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}
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while (bon_dt!=1);
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#endif // ON_A_ABANDONNE_ET_ON_PREND_DT_EGALE_T2_MOINS_T1_DIVISE_PAR_1000
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t=0.7886751345*ti+0.2113248654*tii;
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double coord[3];
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double coefficient_metrique[9];
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mgarete->deriver(t,coord);
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if (creation_metrique) metrique->evaluer(&t,coefficient_metrique);
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else
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{
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double xyz[3];
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mgarete->evaluer(t,xyz);
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metrique->evaluer(xyz,coefficient_metrique);
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}
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double facteur1=coord[0]*coord[0]*coefficient_metrique[0]+coord[0]*coord[1]*coefficient_metrique[3]+coord[0]*coord[2]*coefficient_metrique[6]+coord[1]*coord[0]*coefficient_metrique[1]+coord[1]*coord[1]*coefficient_metrique[4]+coord[1]*coord[2]*coefficient_metrique[7]+coord[2]*coord[0]*coefficient_metrique[2]+coord[2]*coord[1]*coefficient_metrique[4]+coord[2]*coord[2]*coefficient_metrique[8];
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longueur_metrique=longueur_metrique+0.5*(tii-ti)*sqrt(facteur1);
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t=0.7886751345*tii+0.2113248654*ti;
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mgarete->deriver(t,coord);
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if (creation_metrique) metrique->evaluer(&t,coefficient_metrique);
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else
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{
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double xyz[3];
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mgarete->evaluer(t,xyz);
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metrique->evaluer(xyz,coefficient_metrique);
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}
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facteur1=coord[0]*coord[0]*coefficient_metrique[0]+coord[0]*coord[1]*coefficient_metrique[3]+coord[0]*coord[2]*coefficient_metrique[6]+coord[1]*coord[0]*coefficient_metrique[1]+coord[1]*coord[1]*coefficient_metrique[4]+coord[1]*coord[2]*coefficient_metrique[7]+coord[2]*coord[0]*coefficient_metrique[2]+coord[2]*coord[1]*coefficient_metrique[4]+coord[2]*coord[2]*coefficient_metrique[8];
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longueur_metrique=longueur_metrique+0.5*(tii-ti)*sqrt(facteur1);
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integrale pas;
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pas.ti=ti;
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pas.li=longueur_metrique;
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tab_integrale.insert(tab_integrale.end(),pas);
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}
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while (tii<t2);
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int nombre_de_segment=(int)floor(longueur_metrique);
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if (longueur_metrique-floor(longueur_metrique)>0.5) nombre_de_segment++;
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if (nombre_de_segment<1) nombre_de_segment=1;
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/* discretisation */
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double valeur_cible=longueur_metrique/nombre_de_segment;
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int bon_noeud;
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if (noeud_depart==NULL) bon_noeud=0; else bon_noeud=1;
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int numnoeud=0;
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while (bon_noeud==0)
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{
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noeud_depart=(MG_NOEUD*)mgarete->get_cosommet1()->get_sommet()->get_lien_maillage()->get(numnoeud);
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MG_NOEUD* noeudtemp=mg_maillage->get_mg_noeudid(noeud_depart->get_id());
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if (noeudtemp==NULL) numnoeud++; else bon_noeud=1;
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}
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if (noeud_arrivee==NULL) bon_noeud=0; else bon_noeud=1;
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numnoeud=0;
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while (bon_noeud==0)
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{
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noeud_arrivee=(MG_NOEUD*)mgarete->get_cosommet2()->get_sommet()->get_lien_maillage()->get(numnoeud);
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MG_NOEUD* noeudtemp=mg_maillage->get_mg_noeudid(noeud_arrivee->get_id());
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if (noeudtemp==NULL) numnoeud++; else bon_noeud=1;
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}
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MG_NOEUD* noeud_precedent=noeud_depart;
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int nb_segment_cree=0;
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int nb_pas_integrale=tab_integrale.size();
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for (int i=0;i<nb_pas_integrale;i++)
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{
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while ((tab_integrale[i].li>(nb_segment_cree+1)*valeur_cible) && (nb_segment_cree<nombre_de_segment-1))
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{
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refresh();
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double ti=tab_integrale[i].ti;
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double tii=t2;
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double li=0.;
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if (i!=0) li=tab_integrale[i-1].li;
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double lii=tab_integrale[i].li;
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if (i!=nb_pas_integrale-1) tii=tab_integrale[i+1].ti;
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t=ti+(tii-ti)/(lii-li)*((nb_segment_cree+1)*valeur_cible-li);
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double coo[3];
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mgarete->evaluer(t,coo);
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MG_NOEUD* nouveau_noeud=mg_maillage->ajouter_mg_noeud(mgarete,coo[0],coo[1],coo[2]);
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mg_maillage->ajouter_mg_segment(mgarete,noeud_precedent,nouveau_noeud);
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noeud_precedent=nouveau_noeud;
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nb_segment_cree++;
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//ofstream o2("test_1D.mai",ios::out|ios::trunc);
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//o2.precision(16);
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//o2.setf(ios::showpoint);
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//mg_maillage->enregistrer_sous_mesh_1D(o2);
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}
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}
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mg_maillage->ajouter_mg_segment(mgarete,noeud_precedent,noeud_arrivee);
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if (creation_metrique==1)
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{
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delete metrique;
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metrique=NULL;
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}
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}
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