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//####//------------------------------------------------------------ |
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//####//------------------------------------------------------------ |
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//####// MAGiC |
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//####// Jean Christophe Cuilliere et Vincent FRANCOIS |
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//####// Departement de Genie Mecanique - UQTR |
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//####//------------------------------------------------------------ |
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//####// MAGIC est un projet de recherche de l equipe ERICCA |
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//####// du departement de genie mecanique de l Universite du Quebec a Trois Rivieres |
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//####// http://www.uqtr.ca/ericca |
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//####// http://www.uqtr.ca/ |
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//####//------------------------------------------------------------ |
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//####//------------------------------------------------------------ |
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//####// |
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//####// mailleur2d_outil.cpp |
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//####// |
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//####//------------------------------------------------------------ |
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//####//------------------------------------------------------------ |
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//####// COPYRIGHT 2000-2024 |
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//####// jeu 13 jun 2024 11:58:55 EDT |
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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 "mailleur2d.h"
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#include "ot_mathematique.h"
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francois |
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#include "ot_boite_2d.h"
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#include "tpl_map_entite.h"
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#include "m3d_triangle.h"
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int MAILLEUR2D::noeud_est_dans_triangle(MG_NOEUD* noeud,MG_TRIANGLE *triangle)
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{
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return noeud_est_dans_triangle(noeud,triangle->get_noeud1(),triangle->get_noeud2(),triangle->get_noeud3());
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}
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int MAILLEUR2D::noeud_est_dans_triangle(MG_NOEUD* noeud,MG_NOEUD *noeud1,MG_NOEUD *noeud2,MG_NOEUD *noeud3)
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{
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double du=decalage->calcul_decalage_parametre_u(noeud1->get_u());
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double dv=decalage->calcul_decalage_parametre_v(noeud1->get_v());
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double u1=decalage->decalage_parametre_u(noeud1->get_u(),du);
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double v1=decalage->decalage_parametre_v(noeud1->get_v(),dv);
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double u2=decalage->decalage_parametre_u(noeud2->get_u(),du);
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double v2=decalage->decalage_parametre_v(noeud2->get_v(),dv);
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double u3=decalage->decalage_parametre_u(noeud3->get_u(),du);
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double v3=decalage->decalage_parametre_v(noeud3->get_v(),dv);
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double u=decalage->decalage_parametre_u(noeud->get_u(),du);
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double v=decalage->decalage_parametre_v(noeud->get_v(),dv);
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double eps=0.0001;
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double delta=(u2-u1)*(v3-v1)-(v2-v1)*(u3-u1);
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double precision=std::max(fabs(u1),fabs(v1));
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precision=std::max(precision,fabs(u2));
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precision=std::max(precision,fabs(v2));
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precision=std::max(precision,fabs(u3));
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precision=std::max(precision,fabs(v3));
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precision=std::max(precision,fabs(u));
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precision=std::max(precision,fabs(v));
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if (OPERATEUR::egal(delta,0.0,precision*eps)) return(0);
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double xsi=1.0/delta*((v3-v1)*(u-u1)-(u3-u1)*(v-v1));
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double eta=1.0/delta*((u2-u1)*(v-v1)-(v2-v1)*(u-u1));
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if (!((eta > eps) && (xsi > eps) && ((eta+xsi) < 1.0-eps))) return(0);
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return (1);
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}
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int MAILLEUR2D::insere_segment(MG_FACE *mgface,MG_SEGMENT **nv_segment,MG_NOEUD* noeud1,MG_NOEUD* noeud2,int type_validation)
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{
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double du=decalage->calcul_decalage_parametre_u(noeud1->get_u());
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double dv=decalage->calcul_decalage_parametre_v(noeud1->get_v());
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double u1=decalage->decalage_parametre_u(noeud1->get_u(),du);
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double v1=decalage->decalage_parametre_v(noeud1->get_v(),dv);
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double u2=decalage->decalage_parametre_u(noeud2->get_u(),du);
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double v2=decalage->decalage_parametre_v(noeud2->get_v(),dv);
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double ui=0.5*(u1+u2);
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double vi=0.5*(v1+v2);
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double uii=decalage->decalage_parametre_u(ui,-du);
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double vii=decalage->decalage_parametre_v(vi,-dv);
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double longueur=sqrt((u2-u1)*(u2-u1)+(v2-v1)*(v2-v1));
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francois |
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double xyz[3],uv[2]={uii,vii};
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double xyz1[3],uv1[2]={noeud1->get_u(),noeud1->get_v()};
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double xyz2[3],uv2[2]={noeud2->get_u(),noeud2->get_v()};
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mgface->evaluer(uv1,xyz1);
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mgface->evaluer(uv2,xyz2);
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OT_VECTEUR_3D vec(xyz1,xyz2);
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longueur=vec.get_longueur();
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xyz[0]=0.5*(xyz1[0]+xyz2[0]);
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xyz[1]=0.5*(xyz1[1]+xyz2[1]);
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xyz[2]=0.5*(xyz1[2]+xyz2[2]);
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francois |
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if (type_validation==MAGIC::MAILLEURFRONTALETAT::TOUS_SEGMENT)
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{
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TPL_MAP_ENTITE<MG_SEGMENT*> liste_trouvee;
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ntree_de_segment->rechercher(xyz[0],xyz[1],xyz[2],longueur/2.,liste_trouvee);
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for (int j=0;j<liste_trouvee.get_nb();j++)
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{
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MG_SEGMENT* mgsegment=liste_trouvee.get(j);
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if ( ((noeud1==mgsegment->get_noeud1()) && (noeud2==mgsegment->get_noeud2())) || ((noeud1==mgsegment->get_noeud2()) && (noeud2==mgsegment->get_noeud1())))
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return(0);
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int res=intersection_segment_segment(noeud1,noeud2,mgsegment->get_noeud1(),mgsegment->get_noeud2());
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if (res!=0)
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return(0);
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}
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}
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francois |
1150 |
if (type_validation==MAGIC::MAILLEURFRONTALETAT::TOUS_FRONT)
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{
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TPL_MAP_ENTITE<MG_FRONT_2D*> liste_trouvee;
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ntree_de_front->rechercher(xyz[0],xyz[1],xyz[2],longueur/2.,liste_trouvee);
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for (int j=0;j<liste_trouvee.get_nb();j++)
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{
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MG_FRONT_2D* ft=liste_trouvee.get(j);
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MG_SEGMENT* mgsegment=ft->get_segment();
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if ( ((noeud1==mgsegment->get_noeud1()) && (noeud2==mgsegment->get_noeud2())) || ((noeud1==mgsegment->get_noeud2()) && (noeud2==mgsegment->get_noeud1())))
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return(0);
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int res=intersection_segment_segment(noeud1,noeud2,mgsegment->get_noeud1(),mgsegment->get_noeud2());
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if (res!=0)
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return(0);
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}
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}
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francois |
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if ((*nv_segment)==NULL)
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{
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MG_SEGMENT* mgsegment=mg_maillage->ajouter_mg_segment(mgface,noeud1,noeud2,MAGIC::ORIGINE::MAILLEUR_AUTO);
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*nv_segment=mgsegment;
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}
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ntree_de_segment->inserer(*nv_segment);
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return(1);
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}
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void MAILLEUR2D::supprime_segment(MG_SEGMENT* mgsegment)
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{
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ntree_de_segment->supprimer(mgsegment);
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mg_maillage->supprimer_mg_segmentid(mgsegment->get_id());
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}
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int MAILLEUR2D::genere_noeud(MG_FACE* mgface,MG_FRONT_2D* front,MG_FRONT_2D **front_rencontre,MG_NOEUD **noeud_rencontre)
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{
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OT_VECTEUR_3D w(0.,0.,1.);
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MG_NOEUD* noeud1=front->get_noeud1();
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MG_NOEUD* noeud2=front->get_noeud2();
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double du=decalage->calcul_decalage_parametre_u(noeud1->get_u());
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double dv=decalage->calcul_decalage_parametre_v(noeud1->get_v());
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double u1=decalage->decalage_parametre_u(noeud1->get_u(),du);
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double v1=decalage->decalage_parametre_v(noeud1->get_v(),dv);
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double u2=decalage->decalage_parametre_u(noeud2->get_u(),du);
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double v2=decalage->decalage_parametre_v(noeud2->get_v(),dv);
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francois |
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double longueur_segment=metrique->calcule_longueur_segment_metrique(mgface,front->get_segment(),decalage,pas);
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double longueur_desiree=0.8660254037844386*(MAILLEUR2D::priorite_metrique+longueur_segment-longueur_segment*MAILLEUR2D::priorite_metrique);
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longueur_desiree=longueur_desiree/front->get_ifail();
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double umilieu=0.5*(u1+u2);
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double vmilieu=0.5*(v1+v2);
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double param_milieu[2]={umilieu-du,vmilieu-dv};
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double E,F,G;
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mgface->get_EFG(param_milieu,E,F,G);
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double deno=E*(u2-u1)*(u2-u1)+G*(v2-v1)*(v2-v1)+2*F*(u2-u1)*(v2-v1);
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double nume=(v2-v1)*(u2-u1)*(E-G)+F*((v2-v1)*(v2-v1)-(u2-u1)*(u2-u1));
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double teta=atan(nume/deno);
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francois |
532 |
double udecale;
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double vdecale;
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francois |
820 |
int res=metrique->ajuste_distance_ortho_metrique(mgface,u1,v1,u2,v2,udecale,vdecale,longueur_desiree,du,dv,teta,pas);
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if (res==0) return MAGIC::MAILLEURFRONTALETAT::ERREUR;
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double u=decalage->decalage_parametre_u(udecale,-du);
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double v=decalage->decalage_parametre_v(vdecale,-dv);
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double param_noeud_cree[2]={u,v};
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TPL_MAP_ENTITE<MG_FRONT_2D*> liste_trouvee;
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francois |
632 |
double xyz[3],uv[2]={u,v};
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mgface->evaluer(uv,xyz);
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double xmin=std::min(noeud1->get_x(),noeud2->get_x());xmin=std::min(xmin,xyz[0]);
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double xmax=std::max(noeud1->get_x(),noeud2->get_x());xmax=std::max(xmax,xyz[0]);
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double ymin=std::min(noeud1->get_y(),noeud2->get_y());ymin=std::min(ymin,xyz[1]);
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double ymax=std::max(noeud1->get_y(),noeud2->get_y());ymax=std::max(ymax,xyz[1]);
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double zmin=std::min(noeud1->get_z(),noeud2->get_z());zmin=std::min(zmin,xyz[2]);
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double zmax=std::max(noeud1->get_z(),noeud2->get_z());zmax=std::max(zmax,xyz[2]);
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BOITE_3D boite_recherche(xmin,ymin,zmin,xmax,ymax,zmax);
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double longueur_recherche=boite_recherche.get_rayon()*2.;
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632 |
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ntree_de_front->rechercher(xyz[0],xyz[1],xyz[2],longueur_recherche,liste_trouvee);
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int nb_entite=liste_trouvee.get_nb();
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double distance_reference = -1.;
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double angle_reference=2.*M_PI;
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unsigned long id_noeud_reference = 0;
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MG_FRONT_2D* front_reference=NULL;
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for (int i=0;i<nb_entite;i++)
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{
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MG_FRONT_2D* front_courant=liste_trouvee.get(i);
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MG_NOEUD* noeud_front1=front_courant->get_noeud1();
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MG_NOEUD* noeud_front2=front_courant->get_noeud2();
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francois |
1095 |
double du2=decalage->calcul_decalage_parametre_u(noeud_front1->get_u());
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double dv2=decalage->calcul_decalage_parametre_v(noeud_front1->get_v());
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double u1d2=decalage->decalage_parametre_u(noeud1->get_u(),du2);
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double v1d2=decalage->decalage_parametre_v(noeud1->get_v(),dv2);
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double udecale2=decalage->decalage_parametre_u(u,du2);
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double vdecale2=decalage->decalage_parametre_v(v,dv2);
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double unoeudfront1=decalage->decalage_parametre_u(noeud_front1->get_u(),du2);
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double vnoeudfront1=decalage->decalage_parametre_v(noeud_front1->get_v(),dv2);
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double unoeudfront2=decalage->decalage_parametre_u(noeud_front2->get_u(),du2);
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double vnoeudfront2=decalage->decalage_parametre_v(noeud_front2->get_v(),dv2);
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double distance_noeudfront1=metrique->calcule_distance_metrique(mgface,udecale2,vdecale2,unoeudfront1,vnoeudfront1,du2,dv2,pas);
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if ((distance_noeudfront1<distance_reference) || (distance_reference<0.) || (id_noeud_reference==noeud_front1->get_id()))
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if (noeud_front1->get_id()!=noeud1->get_id())
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if (noeud_front1->get_id()!=noeud2->get_id())
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if (id_noeud_reference==noeud_front1->get_id())
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{
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refresh();
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francois |
1095 |
OT_VECTEUR_3D vecteur_baseu(u1d2-unoeudfront1,v1d2-vnoeudfront1,0.);
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OT_VECTEUR_3D vecteur_front(unoeudfront2-unoeudfront1,vnoeudfront2-vnoeudfront1,0.);
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OT_VECTEUR_3D vecteur_basev=w&vecteur_baseu;
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vecteur_baseu.norme();
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vecteur_basev.norme();
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vecteur_front.norme();
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double cosangle=vecteur_baseu*vecteur_front;
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double sinangle=vecteur_basev*vecteur_front;
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sinangle=-sinangle;
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if (cosangle>1.) cosangle=1.;
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if (cosangle<-1.) cosangle=(-1.);
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double angle=acos(cosangle);
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if (sinangle<(-0.0001)) angle=(-angle);
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if (angle<0.) angle=angle+2.*M_PI;
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if (angle<angle_reference)
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{
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angle_reference=angle;
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front_reference=front_courant;
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}
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}
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else
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{
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refresh();
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francois |
1095 |
OT_VECTEUR_3D vecteur_baseu(u1d2-unoeudfront1,v1d2-vnoeudfront1,0.);
|
| 251 |
|
5 |
OT_VECTEUR_3D vecteur_front(unoeudfront2-unoeudfront1,vnoeudfront2-vnoeudfront1,0.);
|
| 252 |
|
|
OT_VECTEUR_3D vecteur_basev=w&vecteur_baseu;
|
| 253 |
|
|
vecteur_baseu.norme();
|
| 254 |
|
|
vecteur_basev.norme();
|
| 255 |
|
|
vecteur_front.norme();
|
| 256 |
|
|
double cosangle=vecteur_baseu*vecteur_front;
|
| 257 |
|
|
double sinangle=vecteur_basev*vecteur_front;
|
| 258 |
|
|
sinangle=-sinangle;
|
| 259 |
|
|
if (cosangle>1.) cosangle=1.;
|
| 260 |
|
|
if (cosangle<-1.) cosangle=(-1.);
|
| 261 |
|
|
double angle=acos(cosangle);
|
| 262 |
|
|
if (sinangle<(-0.0001)) angle=(-angle);
|
| 263 |
|
|
if (angle<0.) angle=angle+2.*M_PI;
|
| 264 |
|
|
distance_reference=distance_noeudfront1;
|
| 265 |
|
|
angle_reference=angle;
|
| 266 |
|
|
id_noeud_reference=noeud_front1->get_id();
|
| 267 |
|
|
front_reference=front_courant;
|
| 268 |
|
|
}
|
| 269 |
|
|
}
|
| 270 |
|
|
|
| 271 |
|
|
if ((front_reference!=NULL) && (distance_reference<longueur_desiree*2./sqrt(3)))
|
| 272 |
|
|
{
|
| 273 |
|
|
MG_NOEUD* noeud=mg_maillage->get_mg_noeudid(id_noeud_reference);
|
| 274 |
|
|
double uref=decalage->decalage_parametre_u(noeud->get_u(),du);
|
| 275 |
|
|
double vref=decalage->decalage_parametre_v(noeud->get_v(),dv);
|
| 276 |
francois |
532 |
double distance=metrique->calcule_distance_metrique(mgface,umilieu,vmilieu,uref,vref,du,dv,pas);
|
| 277 |
|
5 |
if (distance<1.5*longueur_desiree)
|
| 278 |
|
|
{
|
| 279 |
|
|
(*front_rencontre)=front_reference;
|
| 280 |
|
|
(*noeud_rencontre)=noeud;
|
| 281 |
francois |
1150 |
return MAGIC::MAILLEURFRONTALETAT::FRONT_RENCONTRE;
|
| 282 |
|
5 |
}
|
| 283 |
|
|
}
|
| 284 |
francois |
791 |
MG_NOEUD* noeud=mg_maillage->ajouter_mg_noeud(mgface,xyz[0],xyz[1],xyz[2],MAGIC::ORIGINE::MAILLEUR_AUTO);
|
| 285 |
|
5 |
noeud->change_u(param_noeud_cree[0]);
|
| 286 |
|
|
noeud->change_v(param_noeud_cree[1]);
|
| 287 |
|
|
(*noeud_rencontre)=noeud;
|
| 288 |
|
|
(*front_rencontre)=NULL;
|
| 289 |
francois |
1150 |
return MAGIC::MAILLEURFRONTALETAT::NOEUD_CREE;
|
| 290 |
|
5 |
}
|
| 291 |
|
|
|
| 292 |
|
|
|
| 293 |
|
|
|
| 294 |
|
|
|
| 295 |
|
|
|
| 296 |
|
|
|
| 297 |
|
|
|
| 298 |
|
|
|
| 299 |
|
|
|
| 300 |
|
|
|
| 301 |
|
|
MG_TRIANGLE* MAILLEUR2D::insere_triangle(MG_ELEMENT_TOPOLOGIQUE* topo,class MG_NOEUD *mgnoeud1,class MG_NOEUD *mgnoeud2,class MG_NOEUD *mgnoeud3)
|
| 302 |
|
|
{
|
| 303 |
|
|
MG_SEGMENT* mgsegment1=mg_maillage->get_mg_segment(mgnoeud1->get_id(),mgnoeud2->get_id());
|
| 304 |
|
|
MG_SEGMENT* mgsegment2=mg_maillage->get_mg_segment(mgnoeud2->get_id(),mgnoeud3->get_id());
|
| 305 |
|
|
MG_SEGMENT* mgsegment3=mg_maillage->get_mg_segment(mgnoeud3->get_id(),mgnoeud1->get_id());
|
| 306 |
francois |
791 |
if (mgsegment1==NULL) mgsegment1=mg_maillage->ajouter_mg_segment(topo,mgnoeud1,mgnoeud2,MAGIC::ORIGINE::MAILLEUR_AUTO);
|
| 307 |
|
|
if (mgsegment2==NULL) mgsegment2=mg_maillage->ajouter_mg_segment(topo,mgnoeud2,mgnoeud3,MAGIC::ORIGINE::MAILLEUR_AUTO);
|
| 308 |
|
|
if (mgsegment3==NULL) mgsegment3=mg_maillage->ajouter_mg_segment(topo,mgnoeud3,mgnoeud1,MAGIC::ORIGINE::MAILLEUR_AUTO);
|
| 309 |
|
|
M3D_TRIANGLE* mtriangle=new M3D_TRIANGLE(topo,mgnoeud1,mgnoeud2,mgnoeud3,mgsegment1,mgsegment2,mgsegment3,MAGIC::ORIGINE::MAILLEUR_AUTO);
|
| 310 |
|
5 |
mg_maillage->ajouter_mg_triangle(mtriangle);
|
| 311 |
|
|
double qual=OPERATEUR::qualite_triangle(mgnoeud1->get_coord(),mgnoeud2->get_coord(),mgnoeud3->get_coord());
|
| 312 |
|
|
mtriangle->change_qualite(qual);
|
| 313 |
|
|
std::pair<const double,M3D_TRIANGLE*> tmp(mtriangle->get_qualite(),mtriangle);
|
| 314 |
|
|
return mtriangle;
|
| 315 |
|
|
}
|
| 316 |
|
|
|
| 317 |
|
|
int MAILLEUR2D::triangle_est_dans_bon_sens(MG_FACE* face,MG_NOEUD* noeud1,MG_NOEUD *noeud2,MG_NOEUD *noeud3)
|
| 318 |
|
|
{
|
| 319 |
|
|
double* xyz1=noeud1->get_coord();
|
| 320 |
|
|
double* xyz2=noeud2->get_coord();
|
| 321 |
|
|
double* xyz3=noeud3->get_coord();
|
| 322 |
|
|
OT_VECTEUR_3D n1n3(xyz1,xyz3);
|
| 323 |
|
|
OT_VECTEUR_3D n1n2(xyz1,xyz2);
|
| 324 |
|
|
double uv[2];
|
| 325 |
|
|
face->inverser(uv,xyz1);
|
| 326 |
|
|
double n[3];
|
| 327 |
|
|
face->calcul_normale_unitaire(uv,n);
|
| 328 |
|
|
OT_VECTEUR_3D nmat=n&n1n3;
|
| 329 |
|
|
nmat.norme();
|
| 330 |
|
|
n1n2.norme();
|
| 331 |
|
|
if (nmat*n1n2<0) return 0;
|
| 332 |
|
|
return 1;
|
| 333 |
|
|
}
|
| 334 |
|
|
|
| 335 |
|
|
|
| 336 |
|
|
|
| 337 |
|
|
|
| 338 |
|
|
|
| 339 |
|
|
|
| 340 |
|
|
|
| 341 |
|
|
|
| 342 |
|
|
#define PSCA(a,b) (a[0]*b[0]+a[1]*b[1]+a[2]*b[2])
|
| 343 |
|
|
#define EGAL(x,y,eps) (float)fabs((double)(x-y))<eps
|
| 344 |
|
|
#define DETER(a,b,c,d) (a*d-b*c)
|
| 345 |
|
|
|
| 346 |
|
|
int MAILLEUR2D::intersection_segment_segment(MG_NOEUD* noeud1,MG_NOEUD* noeud2,MG_NOEUD* noeud3,MG_NOEUD* noeud4)
|
| 347 |
|
|
{
|
| 348 |
|
|
|
| 349 |
|
|
double du=decalage->calcul_decalage_parametre_u(noeud1->get_u());
|
| 350 |
|
|
double dv=decalage->calcul_decalage_parametre_v(noeud1->get_v());
|
| 351 |
|
|
double ua=decalage->decalage_parametre_u(noeud1->get_u(),du);
|
| 352 |
|
|
double va=decalage->decalage_parametre_v(noeud1->get_v(),dv);
|
| 353 |
|
|
double ub=decalage->decalage_parametre_u(noeud2->get_u(),du);
|
| 354 |
|
|
double vb=decalage->decalage_parametre_v(noeud2->get_v(),dv);
|
| 355 |
|
|
double um=decalage->decalage_parametre_u(noeud3->get_u(),du);
|
| 356 |
|
|
double vm=decalage->decalage_parametre_v(noeud3->get_v(),dv);
|
| 357 |
francois |
536 |
double un=decalage->decalage_parametre_u(noeud4->get_u(),um,du);
|
| 358 |
|
|
double vn=decalage->decalage_parametre_v(noeud4->get_v(),vm,dv);
|
| 359 |
|
|
|
| 360 |
|
|
|
| 361 |
|
5 |
double ab[3];
|
| 362 |
|
|
double nm[3];
|
| 363 |
|
|
double am[3];
|
| 364 |
|
|
ab[0]=ub-ua;
|
| 365 |
|
|
ab[1]=vb-va;
|
| 366 |
|
|
ab[2]=0.;
|
| 367 |
|
|
nm[0]=um-un;
|
| 368 |
|
|
nm[1]=vm-vn;
|
| 369 |
|
|
nm[2]=0.;
|
| 370 |
|
|
am[0]=um-ua;
|
| 371 |
|
|
am[1]=vm-va;
|
| 372 |
|
|
am[2]=0.;
|
| 373 |
|
|
int equation[4];
|
| 374 |
|
|
equation[0]=1; /* etat de l'equation 0 */
|
| 375 |
|
|
equation[1]=1;
|
| 376 |
|
|
equation[2]=1;
|
| 377 |
|
|
equation[3]=3; /* cette variable comporte le bilan du nombre d'equation */
|
| 378 |
|
|
double eps2=PSCA(ab,ab);
|
| 379 |
|
|
double eps=sqrt(eps2);
|
| 380 |
|
|
eps=eps*0.0001;
|
| 381 |
|
|
eps2=eps2*0.0001;
|
| 382 |
|
|
/* recherche du nombre d'equation -> inter franche ou para ou confondu */
|
| 383 |
|
|
if ( (EGAL(ab[0],0,eps)) && (EGAL(nm[0],0,eps)) )
|
| 384 |
|
|
if (EGAL(am[0],0,eps)) equation[0]=0; else return(0);
|
| 385 |
|
|
if ( (EGAL(ab[1],0,eps)) && (EGAL(nm[1],0,eps)) )
|
| 386 |
|
|
if (EGAL(am[1],0,eps)) equation[1]=0; else return(0);
|
| 387 |
|
|
if ( (EGAL(ab[2],0,eps)) && (EGAL(nm[2],0,eps)) )
|
| 388 |
|
|
if (EGAL(am[2],0,eps)) equation[2]=0; else return(0);
|
| 389 |
|
|
equation[3]=equation[0]+equation[1]+equation[2];
|
| 390 |
|
|
if (equation[3]==3)
|
| 391 |
|
|
{
|
| 392 |
|
|
double det=DETER(ab[0],nm[0],ab[1],nm[1]);
|
| 393 |
|
|
if (fabs(det)>eps2)
|
| 394 |
|
|
{
|
| 395 |
|
|
det=1/det;
|
| 396 |
|
|
double sol1=det*DETER(am[0],nm[0],am[1],nm[1]);
|
| 397 |
|
|
double sol2=det*DETER(ab[0],am[0],ab[1],am[1]);
|
| 398 |
|
|
if ( (float)fabs((double)(sol1*ab[2]-sol2*nm[2]-am[2]))>eps2) return(0);
|
| 399 |
|
|
return(examine_solution(sol1,sol2,1));
|
| 400 |
|
|
}
|
| 401 |
|
|
else
|
| 402 |
|
|
{
|
| 403 |
|
|
equation[0]=0;
|
| 404 |
|
|
equation[3]=2;
|
| 405 |
|
|
/* on verifie la compatibilite des deux equations dont le det est nul*/
|
| 406 |
|
|
double tmp;
|
| 407 |
|
|
if (ab[0]!=0) tmp=ab[1]*am[0]/ab[0]; else tmp=nm[1]*am[0]/nm[0];
|
| 408 |
|
|
if (!(EGAL(tmp,am[1],eps))) return(0);
|
| 409 |
|
|
}
|
| 410 |
|
|
}
|
| 411 |
|
|
if (equation[3]==2)
|
| 412 |
|
|
{
|
| 413 |
|
|
/* on repere les equations qui existent */
|
| 414 |
|
|
int ne1;
|
| 415 |
|
|
int ne2;
|
| 416 |
|
|
if (equation[0]!=0)
|
| 417 |
|
|
{
|
| 418 |
|
|
ne1=0;
|
| 419 |
|
|
if (equation[1]!=0) ne2=1; else ne2=2;
|
| 420 |
|
|
}
|
| 421 |
|
|
else
|
| 422 |
|
|
{
|
| 423 |
|
|
ne1=1;
|
| 424 |
|
|
ne2=2;
|
| 425 |
|
|
}
|
| 426 |
|
|
|
| 427 |
|
|
double det=DETER(ab[ne1],nm[ne1],ab[ne2],nm[ne2]);
|
| 428 |
|
|
if (fabs(det)>eps2)
|
| 429 |
|
|
{
|
| 430 |
|
|
det=1/det;
|
| 431 |
|
|
double sol1=det*DETER(am[ne1],nm[ne1],am[ne2],nm[ne2]);
|
| 432 |
|
|
double sol2=det*DETER(ab[ne1],am[ne1],ab[ne2],am[ne2]);
|
| 433 |
|
|
return(examine_solution(sol1,sol2,1));
|
| 434 |
|
|
}
|
| 435 |
|
|
else
|
| 436 |
|
|
{
|
| 437 |
|
|
equation[ne1]=0;
|
| 438 |
|
|
equation[3]=1;
|
| 439 |
|
|
/* on verifie la compatibilite des deux equations dont le det est nul */
|
| 440 |
|
|
double tmp;
|
| 441 |
|
|
if (ab[ne1]!=0) tmp=ab[ne2]*am[ne1]/ab[ne1]; else tmp=nm[ne2]*am[ne1]/nm[ne1];
|
| 442 |
|
|
if (!(EGAL(tmp,am[ne2],eps))) return(0);
|
| 443 |
|
|
}
|
| 444 |
|
|
|
| 445 |
|
|
}
|
| 446 |
|
|
if (equation[3]==1)
|
| 447 |
|
|
{
|
| 448 |
|
|
/* on repere l' equation qui existe */
|
| 449 |
|
|
int ne1;
|
| 450 |
|
|
if (equation[0]!=0) ne1=0; else
|
| 451 |
|
|
if (equation[1]!=0) ne1=1; else ne1=2;
|
| 452 |
|
|
double an[3];
|
| 453 |
|
|
an[0]=un-ua;
|
| 454 |
|
|
an[1]=vn-va;
|
| 455 |
|
|
an[2]=0.;
|
| 456 |
|
|
double tmp=1/ab[ne1];
|
| 457 |
|
|
double sol1=am[ne1]*tmp;
|
| 458 |
|
|
double sol2=an[ne1]*tmp;
|
| 459 |
|
|
return(examine_solution(sol1,sol2,2));
|
| 460 |
|
|
}
|
| 461 |
|
|
return(0);
|
| 462 |
|
|
}
|
| 463 |
|
|
|
| 464 |
|
|
|
| 465 |
|
|
|
| 466 |
|
|
int MAILLEUR2D::examine_solution(double sol1,double sol2,int type)
|
| 467 |
|
|
{
|
| 468 |
|
|
double epsilon=0.0001;
|
| 469 |
|
|
|
| 470 |
|
|
if (type==1)
|
| 471 |
|
|
{
|
| 472 |
|
|
if ( (sol1>epsilon) && ((sol1)<(1-epsilon)) && (sol2>epsilon) && ((sol2)<(1-epsilon)) ) return 1;
|
| 473 |
|
|
if ( ( (EGAL(sol1,0,epsilon)) || (EGAL(sol1,1,epsilon))) && ( (sol2>epsilon) && ((sol2)<(1-epsilon)) ) ) return 1;
|
| 474 |
|
|
if ( ( (EGAL(sol2,0,epsilon)) || (EGAL(sol2,1,epsilon))) && ( (sol1>epsilon) && ((sol1)<(1-epsilon)) ) ) return 1;
|
| 475 |
|
|
if ( (sol1>epsilon) && ((sol1)<(1-epsilon)) && (sol2>(-0.1-epsilon)) && ((sol2)<(1.1-epsilon)) ) return 1;
|
| 476 |
|
|
if ( (sol2>epsilon) && ((sol2)<(1-epsilon)) && (sol1>(-0.1-epsilon)) && ((sol1)<(1.1-epsilon)) ) return 1;
|
| 477 |
|
|
|
| 478 |
|
|
}
|
| 479 |
|
|
if (type==2)
|
| 480 |
|
|
{
|
| 481 |
|
|
if ( (sol1>epsilon) && ((sol1)<(1-epsilon)) ) return 1;
|
| 482 |
|
|
if ( (sol2>epsilon) && ((sol2)<(1-epsilon)) ) return 1;
|
| 483 |
|
|
if ( ((sol1)>(1+epsilon)) && ((-sol2)>epsilon) ) return 1;
|
| 484 |
|
|
if ( ((sol2)>(1+epsilon)) && ((-sol1)>epsilon) ) return 1;
|
| 485 |
|
|
}
|
| 486 |
|
|
return 0;
|
| 487 |
|
|
}
|
| 488 |
|
|
#undef EGAL
|
| 489 |
|
|
#undef PSCA
|
| 490 |
|
|
#undef DETER
|
