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francois |
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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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//####// mailleur3d_intersection.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 "mailleur3d.h"
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#include "ot_mathematique.h"
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francois |
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#include "ot_doubleprecision.h"
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francois |
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int MAILLEUR3D::inter_tetra_triangle(MG_NOEUD* noeud1,MG_NOEUD* noeud2,MG_NOEUD* noeud3,MG_NOEUD* noeud4,MG_NOEUD* noeud5,MG_NOEUD* noeud6,MG_NOEUD* noeud7)
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{
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int commun1;
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int commun2;
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int commun3;
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if ( (noeud5==noeud1) || (noeud5==noeud2) || (noeud5==noeud3) || (noeud5==noeud4) ) commun1=1; else commun1=0;
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if ( (noeud6==noeud1) || (noeud6==noeud2) || (noeud6==noeud3) || (noeud6==noeud4) ) commun2=1; else commun2=0;
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if ( (noeud7==noeud1) || (noeud7==noeud2) || (noeud7==noeud3) || (noeud7==noeud4) ) commun3=1; else commun3=0;
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int nb_commun=commun1+commun2+commun3;
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if (nb_commun==3) return(false);
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int inter;
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if (nb_commun>0) inter=true;
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else
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{
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double bxmin=std::min(noeud1->get_x(),noeud2->get_x());
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bxmin=std::min(bxmin,noeud3->get_x());
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bxmin=std::min(bxmin,noeud4->get_x());
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double bxmax=std::max(noeud1->get_x(),noeud2->get_x());
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bxmax=std::max(bxmax,noeud3->get_x());
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bxmax=std::max(bxmax,noeud4->get_x());
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double bymin=std::min(noeud1->get_y(),noeud2->get_y());
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bymin=std::min(bymin,noeud3->get_y());
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bymin=std::min(bymin,noeud4->get_y());
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double bymax=std::max(noeud1->get_y(),noeud2->get_y());
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bymax=std::max(bymax,noeud3->get_y());
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bymax=std::max(bymax,noeud4->get_y());
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double bzmin=std::min(noeud1->get_z(),noeud2->get_z());
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bzmin=std::min(bzmin,noeud3->get_z());
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bzmin=std::min(bzmin,noeud4->get_z());
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double bzmax=std::max(noeud1->get_z(),noeud2->get_z());
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bzmax=std::max(bzmax,noeud3->get_z());
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bzmax=std::max(bzmax,noeud4->get_z());
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BOITE_3D boite_tetra(bxmin,bymin,bzmin,bxmax,bymax,bzmax);
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double b2xmin=std::min(noeud5->get_x(),noeud6->get_x());
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b2xmin=std::min(b2xmin,noeud7->get_x());
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double b2xmax=std::max(noeud5->get_x(),noeud6->get_x());
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b2xmax=std::max(b2xmax,noeud7->get_x());
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double b2ymin=std::min(noeud5->get_y(),noeud6->get_y());
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b2ymin=std::min(b2ymin,noeud7->get_y());
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double b2ymax=std::max(noeud5->get_y(),noeud6->get_y());
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b2ymax=std::max(b2ymax,noeud7->get_y());
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double b2zmin=std::min(noeud5->get_z(),noeud6->get_z());
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b2zmin=std::min(b2zmin,noeud7->get_z());
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double b2zmax=std::max(noeud5->get_z(),noeud6->get_z());
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b2zmax=std::max(b2zmax,noeud7->get_z());
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BOITE_3D boite_triangle(b2xmin,b2ymin,b2zmin,b2xmax,b2ymax,b2zmax);
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inter=boite_tetra*boite_triangle;
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}
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if (inter==true)
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{
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inter=false;
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OT_VECTEUR_3D n1n2(noeud2->get_x()-noeud1->get_x(),noeud2->get_y()-noeud1->get_y(),noeud2->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n3(noeud3->get_x()-noeud1->get_x(),noeud3->get_y()-noeud1->get_y(),noeud3->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n4(noeud4->get_x()-noeud1->get_x(),noeud4->get_y()-noeud1->get_y(),noeud4->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n2n3(noeud3->get_x()-noeud2->get_x(),noeud3->get_y()-noeud2->get_y(),noeud3->get_z()-noeud2->get_z());
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OT_VECTEUR_3D n2n4(noeud4->get_x()-noeud2->get_x(),noeud4->get_y()-noeud2->get_y(),noeud4->get_z()-noeud2->get_z());
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OT_VECTEUR_3D n1n5(noeud5->get_x()-noeud1->get_x(),noeud5->get_y()-noeud1->get_y(),noeud5->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n6(noeud6->get_x()-noeud1->get_x(),noeud6->get_y()-noeud1->get_y(),noeud6->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n7(noeud7->get_x()-noeud1->get_x(),noeud7->get_y()-noeud1->get_y(),noeud7->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n2n5(noeud5->get_x()-noeud2->get_x(),noeud5->get_y()-noeud2->get_y(),noeud5->get_z()-noeud2->get_z());
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OT_VECTEUR_3D n2n6(noeud6->get_x()-noeud2->get_x(),noeud6->get_y()-noeud2->get_y(),noeud6->get_z()-noeud2->get_z());
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OT_VECTEUR_3D n2n7(noeud7->get_x()-noeud2->get_x(),noeud7->get_y()-noeud2->get_y(),noeud7->get_z()-noeud2->get_z());
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OT_VECTEUR_3D normal1=n1n3&n1n2;
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OT_VECTEUR_3D normal2=n1n2&n1n4;
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OT_VECTEUR_3D normal3=n2n3&n2n4;
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OT_VECTEUR_3D normal4=n1n4&n1n3;
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francois |
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double eps1=0.33333333333*(n1n3.diff()+n1n2.diff()+n1n5.diff());
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double eps2=0.33333333333*(n1n4.diff()+n1n2.diff()+n1n5.diff());
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double eps3=0.33333333333*(n2n4.diff()+n2n3.diff()+n2n5.diff());
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double eps4=0.33333333333*(n1n4.diff()+n1n3.diff()+n1n5.diff());
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//eps=18.*eps*eps*eps*1e-6;
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eps1=18.*eps1*eps1*eps1*EPS_BASE_RELATIVE;
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eps2=18.*eps2*eps2*eps2*EPS_BASE_RELATIVE;
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eps3=18.*eps3*eps3*eps3*EPS_BASE_RELATIVE;
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eps4=18.*eps4*eps4*eps4*EPS_BASE_RELATIVE;
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if (commun1==0)
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francois |
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if (normal1*n1n5<eps1)
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if (normal2*n1n5<eps2)
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if (normal3*n2n5<eps3)
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if (normal4*n1n5<eps4) return true;
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//eps=18.*eps*eps*eps*1e-6;
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eps1=0.33333333333*(n1n3.diff()+n1n2.diff()+n1n6.diff());
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eps2=0.33333333333*(n1n4.diff()+n1n2.diff()+n1n6.diff());
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eps3=0.33333333333*(n2n4.diff()+n2n3.diff()+n2n6.diff());
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eps4=0.33333333333*(n1n4.diff()+n1n3.diff()+n1n6.diff());
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eps1=18.*eps1*eps1*eps1*EPS_BASE_RELATIVE;
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eps2=18.*eps2*eps2*eps2*EPS_BASE_RELATIVE;
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eps3=18.*eps3*eps3*eps3*EPS_BASE_RELATIVE;
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eps4=18.*eps4*eps4*eps4*EPS_BASE_RELATIVE;
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if (commun2==0)
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if (normal1*n1n6<eps1)
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if (normal2*n1n6<eps2)
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if (normal3*n2n6<eps3)
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if (normal4*n1n6<eps4) return true;
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//eps=18.*eps*eps*eps*1e-6;
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eps1=0.33333333333*(n1n3.diff()+n1n2.diff()+n1n7.diff());
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eps2=0.33333333333*(n1n4.diff()+n1n2.diff()+n1n7.diff());
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eps3=0.33333333333*(n2n4.diff()+n2n3.diff()+n2n7.diff());
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eps4=0.33333333333*(n1n4.diff()+n1n3.diff()+n1n7.diff());
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eps1=18.*eps1*eps1*eps1*EPS_BASE_RELATIVE;
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eps2=18.*eps2*eps2*eps2*EPS_BASE_RELATIVE;
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eps3=18.*eps3*eps3*eps3*EPS_BASE_RELATIVE;
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eps4=18.*eps4*eps4*eps4*EPS_BASE_RELATIVE;
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if (commun3==0)
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francois |
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if (normal1*n1n7<eps1)
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if (normal2*n1n7<eps2)
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if (normal3*n2n7<eps3)
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if (normal4*n1n7<eps4) return true;
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if (inter_triangle_triangle(noeud1,noeud3,noeud2,noeud5,noeud6,noeud7)==true) return true;
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if (inter_triangle_triangle(noeud1,noeud2,noeud4,noeud5,noeud6,noeud7)==true) return true;
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if (inter_triangle_triangle(noeud2,noeud3,noeud4,noeud5,noeud6,noeud7)==true) return true;
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if (inter_triangle_triangle(noeud1,noeud4,noeud3,noeud5,noeud6,noeud7)==true) return true;
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}
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return inter;
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}
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int MAILLEUR3D::inter_triangle_triangle(MG_NOEUD* noeud1,MG_NOEUD* noeud2,MG_NOEUD* noeud3,MG_NOEUD* noeud4,MG_NOEUD* noeud5,MG_NOEUD* noeud6)
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{
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int nb_commun=0;
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if ( (noeud4==noeud1) || (noeud4==noeud2) || (noeud4==noeud3) ) nb_commun++;
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if ( (noeud5==noeud1) || (noeud5==noeud2) || (noeud5==noeud3) ) nb_commun++;
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if ( (noeud6==noeud1) || (noeud6==noeud2) || (noeud6==noeud3) ) nb_commun++;
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if (nb_commun==3) return(false);
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double bxmin=std::min(noeud1->get_x(),noeud2->get_x());
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bxmin=std::min(bxmin,noeud3->get_x());
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double bxmax=std::max(noeud1->get_x(),noeud2->get_x());
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bxmax=std::max(bxmax,noeud3->get_x());
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double bymin=std::min(noeud1->get_y(),noeud2->get_y());
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bymin=std::min(bymin,noeud3->get_y());
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double bymax=std::max(noeud1->get_y(),noeud2->get_y());
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bymax=std::max(bymax,noeud3->get_y());
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double bzmin=std::min(noeud1->get_z(),noeud2->get_z());
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bzmin=std::min(bzmin,noeud3->get_z());
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double bzmax=std::max(noeud1->get_z(),noeud2->get_z());
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bzmax=std::max(bzmax,noeud3->get_z());
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BOITE_3D boite_triangle1(bxmin,bymin,bzmin,bxmax,bymax,bzmax);
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double b2xmin=std::min(noeud5->get_x(),noeud6->get_x());
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b2xmin=std::min(b2xmin,noeud4->get_x());
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double b2xmax=std::max(noeud5->get_x(),noeud6->get_x());
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b2xmax=std::max(b2xmax,noeud4->get_x());
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double b2ymin=std::min(noeud5->get_y(),noeud6->get_y());
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b2ymin=std::min(b2ymin,noeud4->get_y());
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double b2ymax=std::max(noeud5->get_y(),noeud6->get_y());
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b2ymax=std::max(b2ymax,noeud4->get_y());
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double b2zmin=std::min(noeud5->get_z(),noeud6->get_z());
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b2zmin=std::min(b2zmin,noeud4->get_z());
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double b2zmax=std::max(noeud5->get_z(),noeud6->get_z());
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b2zmax=std::max(b2zmax,noeud4->get_z());
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BOITE_3D boite_triangle2(b2xmin,b2ymin,b2zmin,b2xmax,b2ymax,b2zmax);
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int inter=boite_triangle1*boite_triangle2;
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if (inter==true)
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{
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inter=false;
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OT_VECTEUR_3D n1n2(noeud2->get_x()-noeud1->get_x(),noeud2->get_y()-noeud1->get_y(),noeud2->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n3(noeud3->get_x()-noeud1->get_x(),noeud3->get_y()-noeud1->get_y(),noeud3->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n4(noeud4->get_x()-noeud1->get_x(),noeud4->get_y()-noeud1->get_y(),noeud4->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n5(noeud5->get_x()-noeud1->get_x(),noeud5->get_y()-noeud1->get_y(),noeud5->get_z()-noeud1->get_z());
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OT_VECTEUR_3D n1n6(noeud6->get_x()-noeud1->get_x(),noeud6->get_y()-noeud1->get_y(),noeud6->get_z()-noeud1->get_z());
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OT_VECTEUR_3D normal=n1n2&n1n3;
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double ps1=normal*n1n4;
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double ps2=normal*n1n5;
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double ps3=normal*n1n6;
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double eps1=0.333333333*(n1n2.diff()+n1n3.diff()+n1n4.diff());
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double eps2=0.333333333*(n1n2.diff()+n1n3.diff()+n1n5.diff());
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double eps3=0.333333333*(n1n2.diff()+n1n3.diff()+n1n6.diff());
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francois |
553 |
// eps1=18.*eps1*eps1*eps1*1e-6;
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// eps2=18.*eps2*eps2*eps2*1e-6;
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// eps3=18.*eps3*eps3*eps3*1e-6;
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eps1=18.*eps1*eps1*eps1*EPS_BASE_RELATIVE;
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eps2=18.*eps2*eps2*eps2*EPS_BASE_RELATIVE;
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eps3=18.*eps3*eps3*eps3*EPS_BASE_RELATIVE;
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5 |
if ((ps1<-eps1) && (ps2<-eps2) && (ps3<-eps3) ) return false;
|
| 210 |
|
|
if ((ps1>eps1) && (ps2>eps2) && (ps3>eps3) ) return false;
|
| 211 |
|
|
if (inter_segment_triangle(noeud1,noeud2,noeud3,noeud4,noeud5)==true) return true;
|
| 212 |
|
|
if (inter_segment_triangle(noeud1,noeud2,noeud3,noeud5,noeud6)==true) return true;
|
| 213 |
|
|
if (inter_segment_triangle(noeud1,noeud2,noeud3,noeud4,noeud6)==true) return true;
|
| 214 |
|
|
if (inter_segment_triangle(noeud4,noeud5,noeud6,noeud1,noeud2)==true) return true;
|
| 215 |
|
|
if (inter_segment_triangle(noeud4,noeud5,noeud6,noeud1,noeud3)==true) return true;
|
| 216 |
|
|
if (inter_segment_triangle(noeud4,noeud5,noeud6,noeud2,noeud3)==true) return true;
|
| 217 |
|
|
}
|
| 218 |
|
|
return inter;
|
| 219 |
|
|
|
| 220 |
|
|
|
| 221 |
|
|
}
|
| 222 |
|
|
|
| 223 |
|
|
int MAILLEUR3D::inter_segment_triangle(MG_NOEUD* noeud1,MG_NOEUD* noeud2,MG_NOEUD* noeud3,MG_NOEUD* noeud4,MG_NOEUD* noeud5)
|
| 224 |
|
|
{
|
| 225 |
|
|
int nb_commun=0;
|
| 226 |
|
|
if ( (noeud4==noeud1) || (noeud4==noeud2) || (noeud4==noeud3) ) nb_commun++;
|
| 227 |
|
|
if ( (noeud5==noeud1) || (noeud5==noeud2) || (noeud5==noeud3) ) nb_commun++;
|
| 228 |
|
|
if (nb_commun==2) return(false);
|
| 229 |
|
|
|
| 230 |
|
|
int inter=false;
|
| 231 |
|
|
OT_VECTEUR_3D g1(noeud2->get_x()-noeud1->get_x(),noeud2->get_y()-noeud1->get_y(),noeud2->get_z()-noeud1->get_z());
|
| 232 |
|
|
OT_VECTEUR_3D g2(noeud3->get_x()-noeud1->get_x(),noeud3->get_y()-noeud1->get_y(),noeud3->get_z()-noeud1->get_z());
|
| 233 |
|
|
OT_VECTEUR_3D g3(noeud5->get_x()-noeud4->get_x(),noeud5->get_y()-noeud4->get_y(),noeud5->get_z()-noeud4->get_z());
|
| 234 |
|
|
OT_MATRICE_3D systeme(g1,g2,g3);
|
| 235 |
|
|
double det=systeme.get_determinant();
|
| 236 |
|
|
double eps=0.333333333333*(g1.diff()+g2.diff()+g3.diff());
|
| 237 |
francois |
553 |
eps=18.*eps*eps*eps*EPS_BASE_RELATIVE;
|
| 238 |
francois |
35 |
if (OPERATEUR::egal(det,0.0,eps)==true)
|
| 239 |
|
5 |
{
|
| 240 |
francois |
35 |
OT_VECTEUR_3D g3b(noeud5->get_x()-noeud1->get_x(),noeud5->get_y()-noeud1->get_y(),noeud5->get_z()-noeud1->get_z());
|
| 241 |
|
|
OT_MATRICE_3D systeme2(g1,g2,g3b);
|
| 242 |
|
|
double det2=systeme2.get_determinant();
|
| 243 |
|
|
double eps2=0.333333333333*(g1.diff()+g2.diff()+g3b.diff());
|
| 244 |
francois |
553 |
//eps2=18.*eps2*eps2*eps2*1e-6;
|
| 245 |
|
|
eps2=18.*eps2*eps2*eps2*EPS_BASE_RELATIVE;
|
| 246 |
francois |
35 |
if (OPERATEUR::egal(det2,0.0,eps)==true) // cas 2D
|
| 247 |
|
|
{
|
| 248 |
|
|
if (inter_segment_segment(noeud1,noeud2,noeud4,noeud5)==true) return true;
|
| 249 |
|
|
if (inter_segment_segment(noeud1,noeud3,noeud4,noeud5)==true) return true;
|
| 250 |
|
|
if (inter_segment_segment(noeud2,noeud3,noeud4,noeud5)==true) return true;
|
| 251 |
|
|
}
|
| 252 |
|
|
else return false;
|
| 253 |
|
5 |
}
|
| 254 |
|
|
else
|
| 255 |
|
|
{
|
| 256 |
|
|
if ( (noeud4==noeud1) || (noeud4==noeud2) || (noeud4==noeud3) ) return false;
|
| 257 |
|
|
if ( (noeud5==noeud1) || (noeud5==noeud2) || (noeud5==noeud3) ) return false;
|
| 258 |
|
|
double x,y,z;
|
| 259 |
|
|
x=1.0/det*(g2.get_y()*g3.get_z()-g2.get_z()*g3.get_y());
|
| 260 |
|
|
y=1.0/det*(g3.get_x()*g2.get_z()-g2.get_x()*g3.get_z());
|
| 261 |
|
|
z=1.0/det*(g2.get_x()*g3.get_y()-g2.get_y()*g3.get_x());
|
| 262 |
|
|
OT_VECTEUR_3D g1b(x,y,z);
|
| 263 |
|
|
x=1.0/det*(g3.get_y()*g1.get_z()-g1.get_y()*g3.get_z());
|
| 264 |
|
|
y=1.0/det*(g1.get_x()*g3.get_z()-g3.get_x()*g1.get_z());
|
| 265 |
|
|
z=1.0/det*(g3.get_x()*g1.get_y()-g1.get_x()*g3.get_y());
|
| 266 |
|
|
OT_VECTEUR_3D g2b(x,y,z);
|
| 267 |
|
|
x=1.0/det*(g1.get_y()*g2.get_z()-g1.get_z()*g2.get_y());
|
| 268 |
|
|
y=1.0/det*(g2.get_x()*g1.get_z()-g1.get_x()*g2.get_z());
|
| 269 |
|
|
z=1.0/det*(g1.get_x()*g2.get_y()-g1.get_y()*g2.get_x());
|
| 270 |
|
|
OT_VECTEUR_3D g3b(x,y,z);
|
| 271 |
|
|
OT_VECTEUR_3D n1n4(noeud4->get_x()-noeud1->get_x(),noeud4->get_y()-noeud1->get_y(),noeud4->get_z()-noeud1->get_z());
|
| 272 |
|
|
double alpha1=n1n4*g1b;
|
| 273 |
|
|
double alpha2=n1n4*g2b;
|
| 274 |
|
|
double alpha3=-(n1n4*g3b);
|
| 275 |
|
|
double alpha4=1-alpha1-alpha2;
|
| 276 |
francois |
553 |
//double eps=0.000001;
|
| 277 |
|
|
double eps=0.25*(g1.diff()+g2.diff()+g3.diff()+n1n4.diff());
|
| 278 |
|
|
eps=EPS_BASE_RELATIVE*(eps+1./eps);
|
| 279 |
|
5 |
if ((alpha1>-eps) && (alpha1<1.+eps))
|
| 280 |
|
|
if ((alpha2>-eps) && (alpha2<1.+eps))
|
| 281 |
|
|
if ((alpha3>-eps) && (alpha3<1.+eps))
|
| 282 |
|
|
if ((alpha4>-eps) && (alpha4<1.+eps)) return true;
|
| 283 |
|
|
return false;
|
| 284 |
|
|
}
|
| 285 |
|
|
return inter;
|
| 286 |
|
|
}
|
| 287 |
|
|
|
| 288 |
|
|
|
| 289 |
|
|
|
| 290 |
francois |
553 |
/*int MAILLEUR3D::noeud_est_triangle(MG_NOEUD* noeud1,MG_NOEUD* noeud2,MG_NOEUD* noeud3,double x,double y,double z)
|
| 291 |
|
5 |
{
|
| 292 |
|
|
OT_VECTEUR_3D n1n2(noeud2->get_x()-noeud1->get_x(),noeud2->get_y()-noeud1->get_y(),noeud2->get_z()-noeud1->get_z());
|
| 293 |
|
|
OT_VECTEUR_3D n1n3(noeud3->get_x()-noeud1->get_x(),noeud3->get_y()-noeud1->get_y(),noeud3->get_z()-noeud1->get_z());
|
| 294 |
|
|
OT_VECTEUR_3D n=n1n2&n1n3;
|
| 295 |
|
|
OT_VECTEUR_3D n1p(x-noeud1->get_x(),y-noeud1->get_y(),z-noeud1->get_z());
|
| 296 |
|
|
OT_VECTEUR_3D n2p(x-noeud2->get_x(),y-noeud2->get_y(),z-noeud2->get_z());
|
| 297 |
|
|
OT_VECTEUR_3D n3p(x-noeud3->get_x(),y-noeud3->get_y(),z-noeud3->get_z());
|
| 298 |
|
|
OT_VECTEUR_3D pv1=n1n2&n1p;
|
| 299 |
|
|
double ps1=pv1*n;
|
| 300 |
francois |
553 |
double eps=0.25*(2.*n1n2.diff()+n1n3.diff()+n1p.diff());
|
| 301 |
|
|
eps=16.*eps*eps*eps*eps*EPS_BASE_RELATIVE;
|
| 302 |
|
5 |
if (ps1>(-eps))
|
| 303 |
|
|
{
|
| 304 |
|
|
OT_VECTEUR_3D n2n3(noeud3->get_x()-noeud2->get_x(),noeud3->get_y()-noeud2->get_y(),noeud3->get_z()-noeud2->get_z());
|
| 305 |
|
|
OT_VECTEUR_3D pv2=n2n3&n2p;
|
| 306 |
francois |
553 |
double ps2=pv2*n;
|
| 307 |
|
|
double eps=0.25*(n2n3.diff()+n2p.diff()+n1n2.diff()+n1n3.diff());
|
| 308 |
|
|
eps=16.*eps*eps*eps*eps*EPS_BASE_RELATIVE;
|
| 309 |
|
5 |
if (ps2>(-eps))
|
| 310 |
|
|
{
|
| 311 |
|
|
OT_VECTEUR_3D pv3=n1n3&n3p;
|
| 312 |
|
|
double ps3=(-1)*(pv3*n);
|
| 313 |
francois |
553 |
double eps=0.25*(n1n3.diff()+n3p.diff()+n1n2.diff()+n1n3.diff());
|
| 314 |
|
|
eps=16.*eps*eps*eps*eps*EPS_BASE_RELATIVE;
|
| 315 |
|
|
if (ps3>(-eps)) return true;
|
| 316 |
|
5 |
}
|
| 317 |
francois |
553 |
arete 66
|
| 318 |
|
5 |
|
| 319 |
|
|
}
|
| 320 |
|
|
return false;
|
| 321 |
|
|
}
|
| 322 |
|
|
|
| 323 |
francois |
553 |
*/
|
| 324 |
|
5 |
|
| 325 |
|
|
|
| 326 |
francois |
553 |
int MAILLEUR3D::inter_segment_segment(MG_NOEUD *A, MG_NOEUD *B,MG_NOEUD *C,MG_NOEUD *D)
|
| 327 |
|
|
{
|
| 328 |
|
|
/*static int passe=0;
|
| 329 |
|
|
passe++;
|
| 330 |
|
|
if (passe==366677)
|
| 331 |
|
|
std::cout << " pas pareil a venir" << std::endl;
|
| 332 |
|
|
*/
|
| 333 |
|
|
int res1=inter_segment_segment1(A,B,C,D);
|
| 334 |
|
|
//std::cout << " pas pareil" << std::endl;
|
| 335 |
|
|
return res1;
|
| 336 |
|
|
}
|
| 337 |
|
5 |
|
| 338 |
|
|
|
| 339 |
francois |
553 |
int MAILLEUR3D::inter_segment_segment1(MG_NOEUD *A, MG_NOEUD *B,MG_NOEUD *C,MG_NOEUD *D)
|
| 340 |
|
|
{
|
| 341 |
|
|
double2 a0(A->get_coord()[0]);
|
| 342 |
|
|
double2 a1(A->get_coord()[1]);
|
| 343 |
|
|
double2 a2(A->get_coord()[2]);
|
| 344 |
|
|
OT_VECTEUR_3DD OA(a0,a1,a2);
|
| 345 |
|
|
double2 b0(B->get_coord()[0]);
|
| 346 |
|
|
double2 b1(B->get_coord()[1]);
|
| 347 |
|
|
double2 b2(B->get_coord()[2]);
|
| 348 |
|
|
OT_VECTEUR_3DD OB(b0,b1,b2);
|
| 349 |
|
|
double2 c0(C->get_coord()[0]);
|
| 350 |
|
|
double2 c1(C->get_coord()[1]);
|
| 351 |
|
|
double2 c2(C->get_coord()[2]);
|
| 352 |
|
|
OT_VECTEUR_3DD OC(c0,c1,c2);
|
| 353 |
|
|
double2 d0(D->get_coord()[0]);
|
| 354 |
|
|
double2 d1(D->get_coord()[1]);
|
| 355 |
|
|
double2 d2(D->get_coord()[2]);
|
| 356 |
|
|
OT_VECTEUR_3DD OD(d0,d1,d2);
|
| 357 |
|
|
OT_VECTEUR_3DD u(OA,OB);
|
| 358 |
|
|
OT_VECTEUR_3DD v(OC,OD);
|
| 359 |
|
|
OT_VECTEUR_3DD AC(OA,OC);
|
| 360 |
|
|
|
| 361 |
|
|
OT_VECTEUR_3DD uv=u&v;
|
| 362 |
|
|
double2 ZERO(0.);
|
| 363 |
|
|
double2 UN(1.);
|
| 364 |
|
|
double2 longueur=uv.get_longueur();
|
| 365 |
|
|
if (uv.get_longueur()==ZERO)
|
| 366 |
|
|
{
|
| 367 |
|
|
//std::cout << " segment colineaire" << std::endl;
|
| 368 |
|
|
OT_VECTEUR_3DD test=AC&u;
|
| 369 |
|
|
if (test.get_longueur()==ZERO)
|
| 370 |
|
|
{
|
| 371 |
|
|
//std::cout << " support segment confondu" << std::endl;
|
| 372 |
|
|
OT_VECTEUR_3DD AC(OA,OC);
|
| 373 |
|
|
OT_VECTEUR_3DD AD(OA,OD);
|
| 374 |
|
|
OT_VECTEUR_3DD BC(OB,OC);
|
| 375 |
|
|
OT_VECTEUR_3DD BD(OB,OD);
|
| 376 |
francois |
667 |
if (((AC*AD>ZERO) || (AC*AD==ZERO)) && ((AC*u<ZERO)||(AC*u==ZERO)) ) return 0;//std::cout << " pas intersection" << std::endl;
|
| 377 |
|
|
else if (((BC*BD>ZERO) || (BC*BD==ZERO)) && ((BC*u>ZERO)||(BC*u==ZERO))) return 0;//std::cout << " pas intersection" << std::endl;
|
| 378 |
francois |
553 |
else return 1;//std::cout << "intersection" << std::endl;
|
| 379 |
|
|
|
| 380 |
|
|
}
|
| 381 |
|
|
else return 0;//std::cout << " segment parrallele" << std::endl;
|
| 382 |
|
5 |
|
| 383 |
francois |
553 |
}
|
| 384 |
|
|
else
|
| 385 |
|
|
{
|
| 386 |
|
|
OT_VECTEUR_3DD P2=v&uv;
|
| 387 |
|
|
double2 a2=P2.get_x();
|
| 388 |
|
|
double2 b2=P2.get_y();
|
| 389 |
|
|
double2 c2=P2.get_z();
|
| 390 |
|
|
double2 d2=ZERO-a2*C->get_coord()[0]-b2*C->get_coord()[1]-c2*C->get_coord()[2];
|
| 391 |
|
|
double2 t1=ZERO-a2*A->get_coord()[0]-b2*A->get_coord()[1]-c2*A->get_coord()[2]-d2;
|
| 392 |
|
|
t1=t1/(a2*u.get_x()+b2*u.get_y()+c2*u.get_z());
|
| 393 |
|
|
OT_VECTEUR_3DD H=OA+t1*u;
|
| 394 |
|
|
|
| 395 |
|
|
OT_VECTEUR_3DD P1=u&uv;
|
| 396 |
|
|
double2 a1=P1.get_x();
|
| 397 |
|
|
double2 b1=P1.get_y();
|
| 398 |
|
|
double2 c1=P1.get_z();
|
| 399 |
|
|
double2 d1=ZERO-a1*A->get_coord()[0]-b1*A->get_coord()[1]-c1*A->get_coord()[2];
|
| 400 |
|
|
double2 t2=ZERO-a1*C->get_coord()[0]-b1*C->get_coord()[1]-c1*C->get_coord()[2]-d1;
|
| 401 |
|
|
t2=t2/(a1*v.get_x()+b1*v.get_y()+c1*v.get_z());
|
| 402 |
|
|
OT_VECTEUR_3DD H2=OC+t2*v;
|
| 403 |
|
|
|
| 404 |
|
|
OT_VECTEUR_3DD PPC2(H,H2);
|
| 405 |
|
|
|
| 406 |
|
|
if (PPC2.get_longueur()==ZERO)
|
| 407 |
|
|
{
|
| 408 |
|
|
//std::cout << " segment coplanaire" << std::endl;
|
| 409 |
|
|
//std::cout << " point d'intersection" << H << std::endl;
|
| 410 |
|
|
//std::cout << " parametre t1 " << t1 << std::endl;
|
| 411 |
|
|
//std::cout << " parametre t2 " << t2 << std::endl;
|
| 412 |
|
|
if (t1>ZERO)
|
| 413 |
|
|
if (t1<UN)
|
| 414 |
|
|
if (t2>ZERO)
|
| 415 |
|
|
if (t2<UN) return 1;//std::cout << " intersection " << std::endl;
|
| 416 |
|
|
else return 0;//std::cout << " pas intersection " << std::endl;
|
| 417 |
|
|
|
| 418 |
|
|
|
| 419 |
|
|
}
|
| 420 |
|
|
else
|
| 421 |
|
|
return 0;//std::cout << " segment 3D" << std::endl;
|
| 422 |
|
|
}
|
| 423 |
|
|
return 0;
|
| 424 |
|
|
}
|
| 425 |
|
|
|
| 426 |
|
|
|
| 427 |
|
5 |
|
| 428 |
|
|
#define PSCA(a,b) (a[0]*b[0]+a[1]*b[1]+a[2]*b[2])
|
| 429 |
francois |
507 |
#define EGAL(x,y,eps) (double)fabs((double)(x-y))<eps
|
| 430 |
|
5 |
#define DETER(a,b,c,d) (a*d-b*c)
|
| 431 |
|
|
|
| 432 |
francois |
553 |
|
| 433 |
|
|
int MAILLEUR3D::inter_segment_segment2(MG_NOEUD* noeud1,MG_NOEUD* noeud2,MG_NOEUD* noeud3,MG_NOEUD* noeud4)
|
| 434 |
|
5 |
{
|
| 435 |
|
|
|
| 436 |
|
|
double ab[3];
|
| 437 |
|
|
double nm[3];
|
| 438 |
|
|
double am[3];
|
| 439 |
|
|
ab[0]=noeud2->get_x()-noeud1->get_x();
|
| 440 |
|
|
ab[1]=noeud2->get_y()-noeud1->get_y();
|
| 441 |
|
|
ab[2]=noeud2->get_z()-noeud1->get_z();
|
| 442 |
|
|
nm[0]=noeud3->get_x()-noeud4->get_x();
|
| 443 |
|
|
nm[1]=noeud3->get_y()-noeud4->get_y();
|
| 444 |
|
|
nm[2]=noeud3->get_z()-noeud4->get_z();
|
| 445 |
|
|
am[0]=noeud3->get_x()-noeud1->get_x();
|
| 446 |
|
|
am[1]=noeud3->get_y()-noeud1->get_y();
|
| 447 |
|
|
am[2]=noeud3->get_z()-noeud1->get_z();
|
| 448 |
|
|
int equation[4];
|
| 449 |
|
|
equation[0]=1; /* etat de l'equation 0 */
|
| 450 |
|
|
equation[1]=1;
|
| 451 |
|
|
equation[2]=1;
|
| 452 |
|
|
equation[3]=3; /* cette variable comporte le bilan du nombre d'equation */
|
| 453 |
francois |
553 |
double epsab=0.3333333333333*(fabs(ab[0])+fabs(ab[1])+fabs(ab[2]))*EPS_BASE_RELATIVE;
|
| 454 |
|
|
double epsnm=0.3333333333333*(fabs(nm[0])+fabs(nm[1])+fabs(nm[2]))*EPS_BASE_RELATIVE;
|
| 455 |
|
|
double epsam=0.3333333333333*(fabs(am[0])+fabs(am[1])+fabs(am[2]))*EPS_BASE_RELATIVE;
|
| 456 |
|
5 |
/* recherche du nombre d'equation -> inter franche ou para ou confondu */
|
| 457 |
francois |
553 |
if ( (EGAL(ab[0],0,epsab)) && (EGAL(nm[0],0,epsnm)) )
|
| 458 |
|
|
if (EGAL(am[0],0,epsam)) equation[0]=0; else return false;
|
| 459 |
|
|
if ( (EGAL(ab[1],0,epsab)) && (EGAL(nm[1],0,epsnm)) )
|
| 460 |
|
|
if (EGAL(am[1],0,epsam)) equation[1]=0; else return false;
|
| 461 |
|
|
if ( (EGAL(ab[2],0,epsab)) && (EGAL(nm[2],0,epsnm)) )
|
| 462 |
|
|
if (EGAL(am[2],0,epsam)) equation[2]=0; else return false;
|
| 463 |
|
5 |
equation[3]=equation[0]+equation[1]+equation[2];
|
| 464 |
|
|
if (equation[3]==3)
|
| 465 |
|
|
{
|
| 466 |
|
|
double det=DETER(ab[0],nm[0],ab[1],nm[1]);
|
| 467 |
francois |
553 |
double eps2=0.25*(fabs(ab[0])+fabs(nm[0])+fabs(ab[1])+fabs(nm[1]));
|
| 468 |
|
|
eps2=4*eps2*eps2*EPS_BASE_RELATIVE;
|
| 469 |
|
5 |
if (fabs(det)>eps2)
|
| 470 |
|
|
{
|
| 471 |
|
|
det=1/det;
|
| 472 |
|
|
double sol1=det*DETER(am[0],nm[0],am[1],nm[1]);
|
| 473 |
|
|
double sol2=det*DETER(ab[0],am[0],ab[1],am[1]);
|
| 474 |
francois |
553 |
double epssol1=0.25*(fabs(am[0])+fabs(nm[0])+fabs(am[1])+fabs(nm[1]));
|
| 475 |
|
|
epssol1=4*epssol1*epssol1*det*EPS_BASE_RELATIVE+2*epssol1*epssol1*det*det*eps2;
|
| 476 |
|
|
double epssol2=0.25*(fabs(ab[0])+fabs(am[0])+fabs(ab[1])+fabs(am[1]));
|
| 477 |
|
|
epssol2=4*epssol2*epssol2*det*EPS_BASE_RELATIVE+2*epssol2*epssol2*det*det*eps2;
|
| 478 |
|
|
double eps3=0.5*(ab[2]+nm[2]);
|
| 479 |
|
|
eps3=(sol1+sol2)*eps3*EPS_BASE_RELATIVE+eps3*epssol1+eps3*epssol2;
|
| 480 |
|
|
if (fabs((double)(sol1*ab[2]-sol2*nm[2]-am[2]))>eps3) return false;
|
| 481 |
|
|
return(examine_solution(sol1,sol2,epssol1,epssol2,1));
|
| 482 |
|
5 |
}
|
| 483 |
|
|
else
|
| 484 |
|
|
{
|
| 485 |
|
|
equation[0]=0;
|
| 486 |
|
|
equation[3]=2;
|
| 487 |
|
|
/* on verifie la compatibilite des deux equations dont le det est nul*/
|
| 488 |
francois |
553 |
double tmp,eps;
|
| 489 |
|
|
if (!(EGAL(ab[0],0.,(0.333333333*(fabs(ab[0])+fabs(ab[1])+fabs(ab[2]))*EPS_BASE_RELATIVE))))
|
| 490 |
|
|
{
|
| 491 |
|
|
tmp=ab[1]*am[0]/ab[0];
|
| 492 |
|
|
eps=0.5*(fabs(ab[1])+fabs(am[0]));
|
| 493 |
|
|
eps=2*eps*eps/ab[0]+eps*eps/ab[0];
|
| 494 |
|
|
eps=eps*EPS_BASE_RELATIVE;
|
| 495 |
|
|
}
|
| 496 |
|
|
else
|
| 497 |
|
|
{
|
| 498 |
|
|
tmp=nm[1]*am[0]/nm[0];
|
| 499 |
|
|
eps=0.5*(fabs(nm[1])+fabs(am[0]));
|
| 500 |
|
|
eps=2*eps*eps/nm[0]+eps*eps/nm[0];
|
| 501 |
|
|
eps=eps*EPS_BASE_RELATIVE;
|
| 502 |
|
|
|
| 503 |
|
|
}
|
| 504 |
|
5 |
if (!(EGAL(tmp,am[1],eps))) return false;
|
| 505 |
|
|
}
|
| 506 |
|
|
}
|
| 507 |
|
|
if (equation[3]==2)
|
| 508 |
|
|
{
|
| 509 |
|
|
/* on repere les equations qui existent */
|
| 510 |
|
|
int ne1;
|
| 511 |
|
|
int ne2;
|
| 512 |
|
|
if (equation[0]!=0)
|
| 513 |
|
|
{
|
| 514 |
|
|
ne1=0;
|
| 515 |
|
|
if (equation[1]!=0) ne2=1; else ne2=2;
|
| 516 |
|
|
}
|
| 517 |
|
|
else
|
| 518 |
|
|
{
|
| 519 |
|
|
ne1=1;
|
| 520 |
|
|
ne2=2;
|
| 521 |
|
|
}
|
| 522 |
|
|
|
| 523 |
francois |
553 |
double det2=DETER(ab[ne1],nm[ne1],ab[ne2],nm[ne2]);
|
| 524 |
|
|
double eps2=0.25*(fabs(ab[ne1])+fabs(nm[ne1])+fabs(ab[ne2])+fabs(nm[ne2]));
|
| 525 |
|
|
eps2=4*eps2*eps2*EPS_BASE_RELATIVE;
|
| 526 |
|
|
if (fabs(det2)>eps2)
|
| 527 |
|
5 |
{
|
| 528 |
francois |
553 |
double det=1/det2;
|
| 529 |
|
5 |
double sol1=det*DETER(am[ne1],nm[ne1],am[ne2],nm[ne2]);
|
| 530 |
|
|
double sol2=det*DETER(ab[ne1],am[ne1],ab[ne2],am[ne2]);
|
| 531 |
francois |
553 |
double epssol1=0.25*(fabs(am[ne1])+fabs(nm[ne1])+fabs(am[ne2])+fabs(nm[ne2]));
|
| 532 |
|
|
epssol1=4*epssol1*epssol1*det*EPS_BASE_RELATIVE+2*epssol1*epssol1*det*det*eps2;
|
| 533 |
|
|
double epssol2=0.25*(fabs(ab[ne1])+fabs(am[ne1])+fabs(ab[ne2])+fabs(am[ne2]));
|
| 534 |
|
|
epssol2=4*epssol2*epssol2*det*EPS_BASE_RELATIVE+2*epssol2*epssol2*det*det*eps2;
|
| 535 |
|
|
return(examine_solution(sol1,sol2,epssol1,epssol2,1));
|
| 536 |
|
5 |
}
|
| 537 |
|
|
else
|
| 538 |
|
|
{
|
| 539 |
|
|
equation[ne1]=0;
|
| 540 |
|
|
equation[3]=1;
|
| 541 |
|
|
/* on verifie la compatibilite des deux equations dont le det est nul */
|
| 542 |
francois |
553 |
double tmp,eps;
|
| 543 |
|
|
if (!(EGAL(ab[ne1],0.,(0.3333333333333*(fabs(ab[0])+fabs(ab[1])+fabs(ab[2]))*EPS_BASE_RELATIVE))))
|
| 544 |
|
|
{
|
| 545 |
|
|
tmp=ab[ne2]*am[ne1]/ab[ne1];
|
| 546 |
|
|
eps=0.5*(fabs(ab[ne2])+fabs(am[ne1]));
|
| 547 |
|
|
eps=2*eps*eps/ab[ne1]+eps*eps/ab[ne1];
|
| 548 |
|
|
eps=eps*EPS_BASE_RELATIVE;
|
| 549 |
|
|
}
|
| 550 |
|
|
else
|
| 551 |
|
|
{
|
| 552 |
|
|
tmp=nm[ne2]*am[ne1]/nm[ne1];
|
| 553 |
|
|
eps=0.5*(fabs(nm[ne2])+fabs(am[ne1]));
|
| 554 |
|
|
eps=2*eps*eps/nm[ne1]+eps*eps/nm[ne1];
|
| 555 |
|
|
eps=eps*EPS_BASE_RELATIVE;
|
| 556 |
|
|
|
| 557 |
|
|
}
|
| 558 |
|
5 |
if (!(EGAL(tmp,am[ne2],eps))) return false;
|
| 559 |
|
|
}
|
| 560 |
|
|
|
| 561 |
|
|
}
|
| 562 |
|
|
if (equation[3]==1)
|
| 563 |
|
|
{
|
| 564 |
|
|
/* on repere l' equation qui existe */
|
| 565 |
|
|
int ne1;
|
| 566 |
|
|
if (equation[0]!=0) ne1=0; else
|
| 567 |
|
|
if (equation[1]!=0) ne1=1; else ne1=2;
|
| 568 |
|
|
double an[3];
|
| 569 |
|
|
an[0]=noeud4->get_x()-noeud1->get_x();
|
| 570 |
|
|
an[1]=noeud4->get_y()-noeud1->get_y();
|
| 571 |
|
|
an[2]=noeud4->get_z()-noeud1->get_z();
|
| 572 |
francois |
553 |
double tmp=1./ab[ne1];
|
| 573 |
|
5 |
double sol1=am[ne1]*tmp;
|
| 574 |
|
|
double sol2=an[ne1]*tmp;
|
| 575 |
francois |
553 |
double epssol1=2*am[ne1]*tmp*EPS_BASE_RELATIVE;
|
| 576 |
|
|
double epssol2=2*an[ne1]*tmp*EPS_BASE_RELATIVE;
|
| 577 |
|
|
return(examine_solution(sol1,sol2,epssol1,epssol2,2));
|
| 578 |
|
5 |
}
|
| 579 |
|
|
return 0;
|
| 580 |
|
|
}
|
| 581 |
|
|
|
| 582 |
|
|
|
| 583 |
|
|
|
| 584 |
francois |
553 |
|
| 585 |
|
|
|
| 586 |
|
|
|
| 587 |
|
|
|
| 588 |
|
|
int MAILLEUR3D::examine_solution(double sol1,double sol2,double epssol1,double epssol2,int type)
|
| 589 |
|
5 |
{
|
| 590 |
francois |
553 |
epssol1=0.0001;
|
| 591 |
|
|
epssol2=0.0001;
|
| 592 |
|
5 |
|
| 593 |
francois |
553 |
if ((epssol1>1e-0) || (epssol2>1e-0))
|
| 594 |
|
|
std::cout << epssol1 << " " << epssol2 << std::endl;
|
| 595 |
|
5 |
if (type==1)
|
| 596 |
|
|
{
|
| 597 |
francois |
553 |
if ( (sol1>epssol1) && ((sol1)<(1-epssol1)) && (sol2>epssol2) && ((sol2)<(1-epssol2)) ) return true;
|
| 598 |
|
|
if ( ( (EGAL(sol1,0,epssol1)) || (EGAL(sol1,1,epssol1))) && ( (sol2>epssol2) && ((sol2)<(1-epssol2)) ) ) return true;
|
| 599 |
|
|
if ( ( (EGAL(sol2,0,epssol2)) || (EGAL(sol2,1,epssol2))) && ( (sol1>epssol1) && ((sol1)<(1-epssol1)) ) ) return true;
|
| 600 |
|
|
// if ( (sol1>epssol1) && ((sol1)<(1-epssol1)) && (sol2>-epssol2) && ((sol2)<(1.-epssol2)) ) return true;
|
| 601 |
|
|
// if ( (sol2>epssol2) && ((sol2)<(1-epssol2)) && (sol1>-epssol1) && ((sol1)<(1.-epssol1)) ) return true;
|
| 602 |
|
5 |
|
| 603 |
|
|
}
|
| 604 |
|
|
if (type==2)
|
| 605 |
|
|
{
|
| 606 |
francois |
553 |
if ( (sol1>epssol1) && ((sol1)<(1-epssol1)) ) return true;
|
| 607 |
|
|
if ( (sol2>epssol2) && ((sol2)<(1-epssol2)) ) return true;
|
| 608 |
|
|
if ( ((sol1)>(1+epssol1)) && ((-sol2)>epssol2) ) return true;
|
| 609 |
|
|
if ( ((sol2)>(1+epssol2)) && ((-sol1)>epssol1) ) return true;
|
| 610 |
|
5 |
}
|
| 611 |
|
|
return false;
|
| 612 |
francois |
553 |
/*double epsilon=0.0001;
|
| 613 |
|
|
|
| 614 |
|
|
if (type==1)
|
| 615 |
|
|
{
|
| 616 |
|
|
if ( (sol1>epsilon) && ((sol1)<(1-epsilon)) && (sol2>epsilon) && ((sol2)<(1-epsilon)) ) return 1;
|
| 617 |
|
|
if ( ( (EGAL(sol1,0,epsilon)) || (EGAL(sol1,1,epsilon))) && ( (sol2>epsilon) && ((sol2)<(1-epsilon)) ) ) return 1;
|
| 618 |
|
|
if ( ( (EGAL(sol2,0,epsilon)) || (EGAL(sol2,1,epsilon))) && ( (sol1>epsilon) && ((sol1)<(1-epsilon)) ) ) return 1;
|
| 619 |
|
|
if ( (sol1>epsilon) && ((sol1)<(1-epsilon)) && (sol2>(-0.1-epsilon)) && ((sol2)<(1.1-epsilon)) ) return 1;
|
| 620 |
|
|
if ( (sol2>epsilon) && ((sol2)<(1-epsilon)) && (sol1>(-0.1-epsilon)) && ((sol1)<(1.1-epsilon)) ) return 1;
|
| 621 |
|
|
|
| 622 |
|
|
}
|
| 623 |
|
|
if (type==2)
|
| 624 |
|
|
{
|
| 625 |
|
|
if ( (sol1>epsilon) && ((sol1)<(1-epsilon)) ) return 1;
|
| 626 |
|
|
if ( (sol2>epsilon) && ((sol2)<(1-epsilon)) ) return 1;
|
| 627 |
|
|
if ( ((sol1)>(1+epsilon)) && ((-sol2)>epsilon) ) return 1;
|
| 628 |
|
|
if ( ((sol2)>(1+epsilon)) && ((-sol1)>epsilon) ) return 1;
|
| 629 |
|
|
}
|
| 630 |
|
|
return 0;*/
|
| 631 |
|
5 |
}
|
| 632 |
|
|
#undef EGAL
|
| 633 |
|
|
#undef PSCA
|
| 634 |
|
|
#undef DETER
|
| 635 |
|
|
|
