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francois |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// MAGiC |
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// Jean Christophe Cuilli�re et Vincent FRANCOIS |
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// D�partement de G�nie M�canique - UQTR |
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//------------------------------------------------------------ |
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// Le projet MAGIC est un projet de recherche du d�partement |
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// de g�nie m�canique de l'Universit� du Qu�bec � |
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// Trois Rivi�res |
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// Les librairies ne peuvent �tre utilis�es 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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francois |
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// fem_element34.cpp |
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francois |
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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 � 11H22 |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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#include "gestionversion.h" |
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#include "fem_tetra4.h" |
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#include "fem_noeud.h" |
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#include "mg_element_maillage.h" |
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#include "fem_maillage.h" |
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#include "ot_mathematique.h" |
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#include "xfem_tetra4.h" |
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#include "ot_quadrature_gauss.h" |
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#include <math.h> |
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FEM_TETRA4::FEM_TETRA4(unsigned long num,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,mai),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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francois |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(mai),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(class MG_ELEMENT_TOPOLOGIQUE* topo,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(unsigned long num,class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,class FEM_NOEUD** tabnoeud):FEM_ELEMENT3(num,topo,mai),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::FEM_TETRA4(class MG_ELEMENT_TOPOLOGIQUE* topo,class MG_ELEMENT_MAILLAGE* mai,FEM_NOEUD** tabnoeud):FEM_ELEMENT3(topo,mai),FEM_TEMPLATE_ELEMENT<4>(tabnoeud) |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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void FEM_TETRA4::reinit_boite_3D(void) |
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{ |
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FEM_TEMPLATE_ELEMENT<4>::reinit_boite_3D(); |
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} |
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FEM_TETRA4::FEM_TETRA4(FEM_TETRA4& mdd):FEM_ELEMENT3(mdd),FEM_TEMPLATE_ELEMENT<4>(mdd) |
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{ |
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if (liaison_topologique!=NULL) if (liaison_topologique->get_dimension()==3) liaison_topologique->get_lien_fem_maillage()->ajouter(this); |
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tab[0]->get_lien_element3()->ajouter(this); |
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tab[1]->get_lien_element3()->ajouter(this); |
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tab[2]->get_lien_element3()->ajouter(this); |
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tab[3]->get_lien_element3()->ajouter(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->ajouter(this); |
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} |
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FEM_TETRA4::~FEM_TETRA4() |
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{ |
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if (liaison_topologique!=NULL) |
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if (liaison_topologique->get_dimension()==0) liaison_topologique->get_lien_fem_maillage()->supprimer(this); |
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tab[0]->get_lien_element3()->supprimer(this); |
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tab[1]->get_lien_element3()->supprimer(this); |
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tab[2]->get_lien_element3()->supprimer(this); |
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tab[3]->get_lien_element3()->supprimer(this); |
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get_fem_noeudpetitid()->get_lien_petit_element3()->supprimer(this); |
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} |
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FEM_ELEMENT_MAILLAGE* FEM_TETRA4::dupliquer(FEM_MAILLAGE *femmai,long decalage) |
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{ |
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FEM_NOEUD* tabnoeud[4]; |
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tabnoeud[0]=femmai->get_fem_noeudid(tab[0]->get_id()+decalage); |
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tabnoeud[1]=femmai->get_fem_noeudid(tab[1]->get_id()+decalage); |
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tabnoeud[2]=femmai->get_fem_noeudid(tab[2]->get_id()+decalage); |
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tabnoeud[3]=femmai->get_fem_noeudid(tab[3]->get_id()+decalage); |
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FEM_TETRA4* tet=new FEM_TETRA4(get_id()+decalage,maillage,tabnoeud); |
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femmai->ajouter_fem_element3(tet); |
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return tet; |
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} |
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int FEM_TETRA4::get_type_entite(void) |
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{ |
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return IDFEM_TETRA4; |
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} |
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int FEM_TETRA4::get_dimension(void) |
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{ |
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return 3; |
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} |
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int FEM_TETRA4::get_nb_fem_noeud(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<4>::get_nb_fem_noeud(); |
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} |
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FEM_NOEUD* FEM_TETRA4::get_fem_noeud(int num) |
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{ |
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return FEM_TEMPLATE_ELEMENT<4>::get_fem_noeud(num); |
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} |
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void FEM_TETRA4::change_noeud(int num,FEM_NOEUD* noeud) |
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{ |
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FEM_TEMPLATE_ELEMENT<4>::change_noeud(num,noeud); |
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} |
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BOITE_3D& FEM_TETRA4::get_boite_3D(void) |
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{ |
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return FEM_TEMPLATE_ELEMENT<4>::get_boite_3D(); |
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} |
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int FEM_TETRA4::get_nb_pt_gauss(int degre) |
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{ |
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return OT_POINTS_GAUSS::get_nb_point_tetra(degre); |
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} |
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void FEM_TETRA4::get_pt_gauss(int degre,int num,double &w,double *uvw) |
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{ |
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return OT_POINTS_GAUSS::get_pt_gauss_tet(degre,num,w,uvw); |
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} |
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int FEM_TETRA4::get_nb_fonction_interpolation(void) |
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{ |
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return 4; |
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} |
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int FEM_TETRA4::get_degremax_fonction_interpolation(void) |
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{ |
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return 1; |
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} |
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francois |
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double FEM_TETRA4::get_fonction_interpolation(int num,double *uv) |
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{ |
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double val; |
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switch (num) |
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{ |
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case 1: |
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val=1-uv[0]-uv[1]-uv[2]; |
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break; |
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case 2: |
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val=uv[0]; |
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break; |
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case 3: |
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val=uv[1]; |
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break; |
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case 4: |
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val=uv[2]; |
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break; |
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} |
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return val; |
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} |
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double FEM_TETRA4::get_fonction_derive_interpolation(int num,int num_variable,double *uv) |
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{ |
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double val; |
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switch (num) |
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{ |
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case 1: |
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switch (num_variable) |
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{ |
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case 1: |
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val=-1; |
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break; |
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case 2: |
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val=-1; |
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break; |
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case 3: |
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val=-1; |
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break; |
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} break; |
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case 2: |
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switch (num_variable) |
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{ |
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case 1: |
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val=1; |
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break; |
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case 2: |
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val=0; |
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break; |
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case 3: |
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val=0; |
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break; |
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}break; |
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case 3: |
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switch (num_variable) |
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{ |
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case 1: |
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val=0; |
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break; |
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case 2: |
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val=1; |
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break; |
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case 3: |
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val=0; |
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break; |
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}break; |
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case 4: |
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switch (num_variable) |
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{ |
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case 1: |
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val=0; |
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break; |
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case 2: |
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val=0; |
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break; |
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case 3: |
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val=1; |
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break; |
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}break; |
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} |
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return val; |
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} |
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double FEM_TETRA4::get_jacobien(double* jac,double *uv,int& li,int& col,double unite) |
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{ |
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li=3; |
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col=3; |
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double *xyz1=tab[0]->get_coord(); |
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double *xyz2=tab[1]->get_coord(); |
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double *xyz3=tab[2]->get_coord(); |
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double *xyz4=tab[3]->get_coord(); |
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jac[0]=unite*(xyz2[0] - xyz1[0]) ; |
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jac[1]=unite*(xyz2[1] - xyz1[1]) ; |
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jac[2]=unite*(xyz2[2] - xyz1[2]) ; |
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jac[3]=unite*(xyz3[0] - xyz1[0]) ; |
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jac[4]=unite*(xyz3[1] - xyz1[1]) ; |
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jac[5]=unite*(xyz3[2] - xyz1[2]) ; |
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jac[6]=unite*(xyz4[0] - xyz1[0]) ; |
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jac[7]=unite*(xyz4[1] - xyz1[1]) ; |
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jac[8]=unite*(xyz4[2] - xyz1[2]) ; |
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double SIX_V= jac[0]*(jac[4]*jac[8]-jac[7]*jac[5])+jac[1]*(jac[5]*jac[6]-jac[8]*jac[3])+jac[2]*(jac[3]*jac[7]-jac[6]*jac[4]); |
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return SIX_V; |
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} |
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void FEM_TETRA4::get_inverse_jacob(double* j,double *uv,double unite) |
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{ |
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double *xyz1=tab[0]->get_coord(); |
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double *xyz2=tab[1]->get_coord(); |
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double *xyz3=tab[2]->get_coord(); |
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double *xyz4=tab[3]->get_coord(); |
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double jac[9]; |
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jac[0*3+0]= unite*(xyz2[0] - xyz1[0]) ; |
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jac[0*3+1]= unite*(xyz2[1] - xyz1[1]) ; |
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jac[0*3+2]= unite*(xyz2[2] - xyz1[2]) ; |
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jac[1*3+0]= unite*(xyz3[0] - xyz1[0]) ; |
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jac[1*3+1]= unite*(xyz3[1] - xyz1[1]) ; |
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jac[1*3+2]= unite*(xyz3[2] - xyz1[2]) ; |
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jac[2*3+0]= unite*(xyz4[0] - xyz1[0]) ; |
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jac[2*3+1]= unite*(xyz4[1] - xyz1[1]) ; |
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jac[2*3+2]= unite*(xyz4[2] - xyz1[2]) ; |
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double detj=(jac[0*3+0]*jac[1*3+1]*jac[2*3+2]-jac[0*3+0]*jac[1*3+2]*jac[2*3+1]-jac[1*3+0]*jac[0*3+1]*jac[2*3+2]+jac[1*3+0]*jac[0*3+2]*jac[2*3+1]+jac[2*3+0]*jac[0*3+1]*jac[1*3+2]-jac[2*3+0]*jac[0*3+2]*jac[1*3+1]); |
329 |
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330 |
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j[0*3+0] = (jac[1*3+1]*jac[2*3+2]-jac[1*3+2]*jac[2*3+1])/(detj); |
331 |
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j[0*3+1] = -(jac[0*3+1]*jac[2*3+2]-jac[0*3+2]*jac[2*3+1])/(detj); |
332 |
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j[0*3+2] =-(-jac[0*3+1]*jac[1*3+2]+jac[0*3+2]*jac[1*3+1])/(detj); |
333 |
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334 |
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j[1*3+0] = -(jac[1*3+0]*jac[2*3+2]-jac[1*3+2]*jac[2*3+0])/(detj); |
335 |
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j[1*3+1] = (jac[0*3+0]*jac[2*3+2]-jac[0*3+2]*jac[2*3+0])/(detj); |
336 |
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j[1*3+2] = -(jac[0*3+0]*jac[1*3+2]-jac[0*3+2]*jac[1*3+0])/(detj); |
337 |
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338 |
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j[2*3+0] =-(-jac[1*3+0]*jac[2*3+1]+jac[1*3+1]*jac[2*3+0])/(detj); |
339 |
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j[2*3+1] = -(jac[0*3+0]*jac[2*3+1]-jac[0*3+1]*jac[2*3+0])/(detj); |
340 |
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j[2*3+2] = (jac[0*3+0]*jac[1*3+1]-jac[0*3+1]*jac[1*3+0])/(detj); |
341 |
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342 |
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343 |
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344 |
|
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} |
345 |
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346 |
francois |
635 |
bool FEM_TETRA4::valide_parametre_EF(double* uvw) |
347 |
|
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{ |
348 |
|
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if (uvw[0]>=-1e-10) |
349 |
|
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if (uvw[1]>=-1e-10) |
350 |
|
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if (uvw[2]>=-1e-10) |
351 |
|
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if (uvw[0]+uvw[1]+uvw[2]<=1.+1e-10) |
352 |
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return true; |
353 |
|
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return false; |
354 |
|
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} |
355 |
francois |
283 |
void FEM_TETRA4::enregistrer(std::ostream& o) |
356 |
|
|
{ |
357 |
francois |
378 |
if (maillage!=NULL) |
358 |
francois |
410 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TETRA4($"<< get_lien_topologie()->get_id() << ",$" << maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
359 |
|
|
else o << "%" << get_id() << "=FEM_TETRA4(NULL,$"<< maillage->get_id() << ",$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
360 |
francois |
378 |
else |
361 |
francois |
410 |
if (get_lien_topologie()!=NULL) o << "%" << get_id() << "=FEM_TETRA4($"<< get_lien_topologie()->get_id() << ",NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
362 |
|
|
else o << "%" << get_id() << "=FEM_TETRA4(NULL,NULL,$" << tab[0]->get_id() << ",$" << tab[1]->get_id() << ",$" << tab[2]->get_id() << ",$" << tab[3]->get_id() << ","<< get_etat(0) << ");" << std::endl; |
363 |
francois |
339 |
|
364 |
francois |
283 |
} |
365 |
francois |
405 |
|
366 |
|
|
|
367 |
francois |
406 |
int FEM_TETRA4::verifie_validite_decoupage_xfem(double *vol) |
368 |
francois |
405 |
{ |
369 |
|
|
if (get_nb_xfem(3)==0) return 1; |
370 |
|
|
FEM_NOEUD* no1=get_fem_noeud(0); |
371 |
|
|
FEM_NOEUD* no2=get_fem_noeud(1); |
372 |
|
|
FEM_NOEUD* no3=get_fem_noeud(2); |
373 |
|
|
FEM_NOEUD* no4=get_fem_noeud(3); |
374 |
|
|
OT_VECTEUR_3D vec1(no1->get_coord(),no2->get_coord()); |
375 |
|
|
OT_VECTEUR_3D vec2(no1->get_coord(),no3->get_coord()); |
376 |
|
|
OT_VECTEUR_3D vec3(no1->get_coord(),no4->get_coord()); |
377 |
|
|
double volume=(vec1&vec2)*vec3; |
378 |
francois |
407 |
int volumenul=0; |
379 |
francois |
405 |
for (int i=0;i<get_nb_xfem(3);i++) |
380 |
|
|
{ |
381 |
|
|
XFEM_TETRA4* xtet=(XFEM_TETRA4*)get_xfem(3,i); |
382 |
|
|
FEM_NOEUD* xno1=xtet->get_fem_noeud(0); |
383 |
|
|
FEM_NOEUD* xno2=xtet->get_fem_noeud(1); |
384 |
|
|
FEM_NOEUD* xno3=xtet->get_fem_noeud(2); |
385 |
|
|
FEM_NOEUD* xno4=xtet->get_fem_noeud(3); |
386 |
|
|
OT_VECTEUR_3D xvec1(xno1->get_coord(),xno2->get_coord()); |
387 |
|
|
OT_VECTEUR_3D xvec2(xno1->get_coord(),xno3->get_coord()); |
388 |
|
|
OT_VECTEUR_3D xvec3(xno1->get_coord(),xno4->get_coord()); |
389 |
|
|
double xvolume=(xvec1&xvec2)*xvec3; |
390 |
|
|
volume=volume-xvolume; |
391 |
francois |
407 |
if (xvolume<1e-10*volume) volumenul=1; |
392 |
francois |
405 |
} |
393 |
francois |
406 |
if (vol!=NULL) *vol=volume; |
394 |
francois |
407 |
if (fabs(volume)>1e-12) return 2*volumenul; |
395 |
|
|
return 1+2*volumenul; |
396 |
francois |
405 |
} |