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francois |
283 |
//------------------------------------------------------------ |
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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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// mg_face.cpp |
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// |
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//------------------------------------------------------------ |
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//------------------------------------------------------------ |
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// COPYRIGHT 2000 |
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// Version du 02/03/2006 � 11H22 |
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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 "mg_face.h" |
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#include "vct_face.h" |
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francois |
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#include "mg_definition.h" |
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francois |
283 |
//#include "message.h" |
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//#include "affiche.h" |
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#include "ot_mathematique.h" |
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couturad |
814 |
MG_FACE::MG_FACE(std::string idori,unsigned long num,MG_SURFACE* srf,int sens):MG_ELEMENT_TOPOLOGIQUE(num,idori),surface(srf),orientation(sens),vect(NULL),nb_pole(-1) |
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francois |
283 |
{ |
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} |
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couturad |
814 |
MG_FACE::MG_FACE(std::string idori,MG_SURFACE* srf,int sens):MG_ELEMENT_TOPOLOGIQUE(idori),surface(srf),orientation(sens),vect(NULL),nb_pole(-1) |
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francois |
283 |
{ |
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} |
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couturad |
814 |
MG_FACE::MG_FACE(MG_FACE& mdd):MG_ELEMENT_TOPOLOGIQUE(mdd),lst_boucle(mdd.lst_boucle),surface(mdd.surface),orientation(mdd.orientation),vect(NULL),nb_pole(mdd.nb_pole) |
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francois |
283 |
{ |
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} |
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MG_FACE::~MG_FACE() |
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{ |
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//if (lst_coface.size()!=0) afficheur << WARCOFACE << this->get_id()<< enderr; |
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if (vect!=NULL) delete vect; |
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} |
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void MG_FACE::ajouter_mg_boucle(class MG_BOUCLE* mgbou) |
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{ |
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lst_boucle.insert(lst_boucle.end(),mgbou); |
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} |
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void MG_FACE::supprimer_mg_boucle(class MG_BOUCLE* mgbou) |
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{ |
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std::vector<MG_BOUCLE*>::iterator i; |
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for (i=lst_boucle.begin();i!=lst_boucle.end();i++) |
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{ |
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if ((*i)==mgbou) |
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{ |
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lst_boucle.erase(i); |
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return; |
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} |
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} |
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} |
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int MG_FACE::get_nb_mg_boucle(void) |
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{ |
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return lst_boucle.size(); |
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} |
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MG_BOUCLE* MG_FACE::get_mg_boucle(int num) |
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{ |
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return lst_boucle[num]; |
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} |
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void MG_FACE::ajouter_mg_coface(class MG_COFACE* coface) |
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{ |
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lst_coface.insert(lst_coface.end(),coface); |
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} |
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int MG_FACE::get_nb_mg_coface(void) |
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{ |
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return lst_coface.size(); |
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} |
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void MG_FACE::supprimer_mg_coface(class MG_COFACE* coface) |
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{ |
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std::vector<MG_COFACE*>::iterator i; |
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for (i=lst_coface.begin();i!=lst_coface.end();i++) |
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{ |
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if ((*i)==coface) |
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{ |
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lst_coface.erase(i); |
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return; |
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} |
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} |
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} |
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MG_COFACE* MG_FACE::get_mg_coface(int num) |
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{ |
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return lst_coface[num]; |
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} |
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MG_SURFACE* MG_FACE::get_surface(void) |
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{ |
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return surface; |
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} |
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void MG_FACE::get_topologie_sousjacente(TPL_MAP_ENTITE<MG_ELEMENT_TOPOLOGIQUE*> *lst) |
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{ |
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int nb=lst_boucle.size(); |
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for (int i=0;i<nb;i++) |
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{ |
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MG_BOUCLE* bou=lst_boucle[i]; |
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int nb2=bou->get_nb_mg_coarete(); |
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for (int j=0;j<nb2;j++) |
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{ |
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MG_ARETE* are=bou->get_mg_coarete(j)->get_arete(); |
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lst->ajouter(are); |
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are->get_topologie_sousjacente(lst); |
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} |
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} |
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} |
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int MG_FACE::get_dimension(void) |
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{ |
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return 2; |
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} |
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couturad |
906 |
int MG_FACE::get_type(void) |
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{ |
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return TYPE_ELEMENT_TOPOLOGIQUE::FACE; |
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} |
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francois |
283 |
int MG_FACE::get_orientation(void) |
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{ |
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return orientation; |
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} |
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francois |
576 |
bool MG_FACE::est_une_face_element(void) |
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{ |
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return false; |
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} |
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francois |
283 |
int MG_FACE::valide_parametre_u(double& u) |
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{ |
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if (surface->est_periodique_u()) return 1; |
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double param=u; |
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if (orientation!=MEME_SENS) param=surface->get_umin()+surface->get_umax()-param; |
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double param_min,param_max; |
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param_min=surface->get_umin(); |
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param_max=surface->get_umax(); |
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if (param<param_min) |
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{ |
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u=param_min; |
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if (orientation!=MEME_SENS) u=surface->get_umin()+surface->get_umax()-u; |
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return 0; |
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} |
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if (param>param_max) |
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{ |
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u=param_max; |
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if (orientation!=MEME_SENS) u=surface->get_umin()+surface->get_umax()-u; |
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return 0; |
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} |
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return 1; |
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} |
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int MG_FACE::valide_parametre_v(double& v) |
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{ |
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if (surface->est_periodique_v()) return 1; |
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double param=v; |
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double param_min,param_max; |
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param_min=surface->get_vmin(); |
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param_max=surface->get_vmax(); |
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if (param<param_min) |
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{ |
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v=param_min; |
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return 0; |
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} |
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if (param>param_max) |
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{ |
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v=param_max; |
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return 0; |
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} |
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return 1; |
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} |
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void MG_FACE::evaluer(double *uv,double *xyz) |
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{ |
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double param[2]={uv[0],uv[1]}; |
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if (orientation!=MEME_SENS) param[0]=surface->get_umin()+surface->get_umax()-param[0]; |
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surface->evaluer(param,xyz); |
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} |
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void MG_FACE::deriver(double *uv,double *xyzdu, double *xyzdv) |
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{ |
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double param[2]={uv[0],uv[1]}; |
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if (orientation!=MEME_SENS) param[0]=surface->get_umin()+surface->get_umax()-param[0]; |
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surface->deriver(param,xyzdu,xyzdv); |
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if (orientation!=MEME_SENS) |
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{ |
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xyzdu[0]=-xyzdu[0]; |
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xyzdu[1]=-xyzdu[1]; |
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xyzdu[2]=-xyzdu[2]; |
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} |
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} |
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void MG_FACE::deriver_seconde(double *uv,double* xyzduu,double* xyzduv,double* xyzdvv,double *xyz , double *xyzdu, double *xyzdv) |
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{ |
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double param[2]={uv[0],uv[1]}; |
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if (orientation!=MEME_SENS) param[0]=surface->get_umin()+surface->get_umax()-param[0]; |
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surface->deriver_seconde(param,xyzduu,xyzduv,xyzdvv,xyz,xyzdu,xyzdv); |
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if (orientation!=MEME_SENS) |
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{ |
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xyzdu[0]=-xyzdu[0]; |
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xyzdu[1]=-xyzdu[1]; |
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xyzdu[2]=-xyzdu[2]; |
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xyzduv[0]=-xyzduv[0]; |
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xyzduv[1]=-xyzduv[1]; |
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xyzduv[2]=-xyzduv[2]; |
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} |
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} |
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void MG_FACE::inverser(double *uv,double *xyz,double precision) |
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{ |
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surface->inverser(uv,xyz,precision); |
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if (orientation!=MEME_SENS) uv[0]=surface->get_umin()+surface->get_umax()-uv[0]; |
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} |
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void MG_FACE::calcul_normale(double *uv,double *normale) |
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{ |
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double xyzdu[3]; |
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double xyzdv[3]; |
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deriver(uv,xyzdu,xyzdv); |
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OT_VECTEUR_3D xu(xyzdu); |
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OT_VECTEUR_3D xv(xyzdv); |
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OT_VECTEUR_3D n=xu&xv; |
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normale[0]=n.get_x(); |
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normale[1]=n.get_y(); |
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normale[2]=n.get_z(); |
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} |
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void MG_FACE::calcul_normale_unitaire(double *uv,double *normale) |
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{ |
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double xyzdu[3]; |
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double xyzdv[3]; |
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deriver(uv,xyzdu,xyzdv); |
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OT_VECTEUR_3D xu(xyzdu); |
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OT_VECTEUR_3D xv(xyzdv); |
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OT_VECTEUR_3D n=xu&xv; |
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n.norme(); |
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normale[0]=n.get_x(); |
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normale[1]=n.get_y(); |
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normale[2]=n.get_z(); |
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} |
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void MG_FACE::get_EFG(double *uv,double& E,double& F,double& G) |
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{ |
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double xyzdu[3]; |
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double xyzdv[3]; |
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deriver(uv,xyzdu,xyzdv); |
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E=xyzdu[0]*xyzdu[0]+xyzdu[1]*xyzdu[1]+xyzdu[2]*xyzdu[2]; |
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F=xyzdu[0]*xyzdv[0]+xyzdu[1]*xyzdv[1]+xyzdu[2]*xyzdv[2]; |
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G=xyzdv[0]*xyzdv[0]+xyzdv[1]*xyzdv[1]+xyzdv[2]*xyzdv[2]; |
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} |
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void MG_FACE::get_M(double *uv,double& M1,double& M2,double& M3) |
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{ |
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double E,F,G; |
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double xyz[3],xyzdu[3],xyzdv[3],xyzduu[3],xyzduv[3],xyzdvv[3]; |
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deriver_seconde(uv,xyzduu,xyzduv,xyzdvv,xyz,xyzdu,xyzdv); |
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E=xyzdu[0]*xyzdu[0]+xyzdu[1]*xyzdu[1]+xyzdu[2]*xyzdu[2]; |
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//F=xyzdu[0]*xyzdv[0]+xyzdu[1]*xyzdv[1]+xyzdu[2]*xyzdv[2]; |
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G=xyzdv[0]*xyzdv[0]+xyzdv[1]*xyzdv[1]+xyzdv[2]*xyzdv[2]; |
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double Edu=2.*(xyzdu[0]*xyzduu[0]+xyzdu[1]*xyzduu[1]+xyzdu[2]*xyzduu[2]); |
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double Gdv=2.*(xyzdv[0]*xyzdvv[0]+xyzdv[1]*xyzdvv[1]+xyzdv[2]*xyzdvv[2]); |
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double Edv=2.*(xyzdu[0]*xyzduv[0]+xyzdu[1]*xyzduv[1]+xyzdu[2]*xyzduv[2]); |
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double Gdu=2.*(xyzdv[0]*xyzduv[0]+xyzdv[1]*xyzduv[1]+xyzdv[2]*xyzduv[2]); |
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double m1[3],m2[3],m3[3]; |
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m1[0]=xyzduu[0]/E-0.5*Edu*xyzdu[0]/E/E; |
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m1[1]=xyzduu[1]/E-0.5*Edu*xyzdu[1]/E/E; |
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m1[2]=xyzduu[2]/E-0.5*Edu*xyzdu[2]/E/E; |
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m2[0]=xyzduv[0]/sqrt(E*G)-0.5*xyzdu[0]*Edv/E/sqrt(E*G)-0.5*xyzdv[0]*Gdu/G/sqrt(E*G); |
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m2[1]=xyzduv[1]/sqrt(E*G)-0.5*xyzdu[1]*Edv/E/sqrt(E*G)-0.5*xyzdv[1]*Gdu/G/sqrt(E*G); |
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m2[2]=xyzduv[2]/sqrt(E*G)-0.5*xyzdu[2]*Edv/E/sqrt(E*G)-0.5*xyzdv[2]*Gdu/G/sqrt(E*G); |
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m3[0]=xyzdvv[0]/G-0.5*Gdv*xyzdv[0]/G/G; |
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m3[1]=xyzdvv[1]/G-0.5*Gdv*xyzdv[1]/G/G; |
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m3[2]=xyzdvv[2]/G-0.5*Gdv*xyzdv[2]/G/G; |
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M1=sqrt(m1[0]*m1[0]+m1[1]*m1[1]+m1[2]*m1[2]); |
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M2=sqrt(m2[0]*m2[0]+m2[1]*m2[1]+m2[2]*m2[2]); |
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M3=sqrt(m3[0]*m3[0]+m3[1]*m3[1]+m3[2]*m3[2]); |
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} |
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void MG_FACE::get_LMN(double *uv,double& L,double& M,double &N) |
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{ |
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double xyz[3],xyzdu[3],xyzdv[3],xyzduu[3],xyzduv[3],xyzdvv[3],normal[3]; |
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deriver_seconde(uv,xyzduu,xyzduv,xyzdvv,xyz,xyzdu,xyzdv); |
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calcul_normale_unitaire(uv,normal); |
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L=xyzduu[0]*normal[0]+xyzduu[1]*normal[1]+xyzduu[2]*normal[2]; |
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M=xyzduv[0]*normal[0]+xyzduv[1]*normal[1]+xyzduv[2]*normal[2]; |
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N=xyzdvv[0]*normal[0]+xyzdvv[1]*normal[1]+xyzdvv[2]*normal[2]; |
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} |
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void MG_FACE::get_courbure(double *uv,double& cmax,double& cmin) |
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{ |
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double E,F,G,L,M,N; |
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get_EFG(uv,E,F,G); |
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get_LMN(uv,L,M,N); |
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double a=E*G-F*F; |
| 324 |
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double b=-E*N-G*L+2*F*M; |
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double c=L*N-M*M; |
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double delta=b*b-4*a*c; |
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if (delta<0.00000001) delta=0.; |
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double x1=(-b+sqrt(delta))/2./a; |
| 329 |
|
|
double x2=(-b-sqrt(delta))/2./a; |
| 330 |
|
|
if (fabs(x1)>fabs(x2)) { |
| 331 |
|
|
cmax=x1; |
| 332 |
|
|
cmin=x2; |
| 333 |
|
|
} else { |
| 334 |
|
|
cmax=x2; |
| 335 |
|
|
cmin=x1; |
| 336 |
|
|
} |
| 337 |
|
|
} |
| 338 |
|
|
|
| 339 |
francois |
632 |
|
| 340 |
|
|
|
| 341 |
|
|
BOITE_3D MG_FACE::get_boite_3D(int pas_echantillon) |
| 342 |
|
|
{ |
| 343 |
|
|
double xmin=1e308,ymin=1e308,zmin=1e308; |
| 344 |
|
|
double xmax=-1e308,ymax=-1e308,zmax=-1e308; |
| 345 |
|
|
double umin=1e308,vmin=1e308; |
| 346 |
|
|
double umax=-1e308,vmax=-1e308; |
| 347 |
|
|
int nb_boucle=get_nb_mg_boucle(); |
| 348 |
francois |
824 |
if (surface->est_periodique_u()) |
| 349 |
|
|
{ |
| 350 |
|
|
umin=0.; |
| 351 |
|
|
umax=surface->get_periode_u(); |
| 352 |
|
|
} |
| 353 |
|
|
if (surface->est_periodique_v()) |
| 354 |
|
|
{ |
| 355 |
|
|
vmin=0.; |
| 356 |
|
|
vmax=surface->get_periode_v(); |
| 357 |
|
|
} |
| 358 |
francois |
632 |
for (int i=0;i<nb_boucle;i++) |
| 359 |
|
|
{ |
| 360 |
|
|
MG_BOUCLE* bou=get_mg_boucle(i); |
| 361 |
|
|
int nb_arete=bou->get_nb_mg_coarete(); |
| 362 |
|
|
for (int j=0;j<nb_arete;j++) |
| 363 |
|
|
{ |
| 364 |
|
|
MG_ARETE* arete=bou->get_mg_coarete(j)->get_arete(); |
| 365 |
|
|
double tmin=arete->get_tmin(); |
| 366 |
|
|
double tmax=arete->get_tmax(); |
| 367 |
|
|
double tdemi=0.5*(tmax+tmin); |
| 368 |
|
|
double xyz1[3],xyz2[3]; |
| 369 |
|
|
for (int k=0;k<pas_echantillon+1;k++) |
| 370 |
|
|
{ |
| 371 |
|
|
double t=tmin+1.0*k/pas_echantillon*(tmax-tmin); |
| 372 |
|
|
double xyz[3]; |
| 373 |
|
|
arete->evaluer(t,xyz); |
| 374 |
|
|
if (xyz[0]<xmin) xmin=xyz[0]; |
| 375 |
|
|
if (xyz[0]>xmax) xmax=xyz[0]; |
| 376 |
|
|
if (xyz[1]<ymin) ymin=xyz[1]; |
| 377 |
|
|
if (xyz[1]>ymax) ymax=xyz[1]; |
| 378 |
|
|
if (xyz[2]<zmin) zmin=xyz[2]; |
| 379 |
|
|
if (xyz[2]>zmax) zmax=xyz[2]; |
| 380 |
|
|
double uv[2]; |
| 381 |
|
|
inverser(uv,xyz); |
| 382 |
|
|
if (uv[0]>umax) umax=uv[0]; |
| 383 |
|
|
if (uv[0]<umin) umin=uv[0]; |
| 384 |
|
|
if (uv[1]>vmax) vmax=uv[1]; |
| 385 |
|
|
if (uv[1]<vmin) vmin=uv[1]; |
| 386 |
|
|
} |
| 387 |
|
|
} |
| 388 |
|
|
for (int k=0;k<pas_echantillon+1;k++) |
| 389 |
|
|
for (int l=0;l<pas_echantillon+1;l++) |
| 390 |
|
|
{ |
| 391 |
|
|
double uv[2]; |
| 392 |
|
|
uv[0]=umin+1.0*k/pas_echantillon*(umax-umin); |
| 393 |
|
|
uv[1]=vmin+1.0*l/pas_echantillon*(vmax-vmin); |
| 394 |
|
|
double xyz[3]; |
| 395 |
|
|
evaluer(uv,xyz); |
| 396 |
|
|
if (xyz[0]<xmin) xmin=xyz[0]; |
| 397 |
|
|
if (xyz[1]<ymin) ymin=xyz[1]; |
| 398 |
|
|
if (xyz[2]<zmin) zmin=xyz[2]; |
| 399 |
|
|
if (xyz[0]>xmax) xmax=xyz[0]; |
| 400 |
|
|
if (xyz[1]>ymax) ymax=xyz[1]; |
| 401 |
|
|
if (xyz[2]>zmax) zmax=xyz[2]; |
| 402 |
|
|
} |
| 403 |
|
|
|
| 404 |
|
|
} |
| 405 |
|
|
BOITE_3D boite(xmin,ymin,zmin,xmax,ymax,zmax); |
| 406 |
|
|
return boite; |
| 407 |
|
|
|
| 408 |
|
|
} |
| 409 |
|
|
|
| 410 |
|
|
|
| 411 |
couturad |
814 |
int MG_FACE::get_nb_pole(void) |
| 412 |
|
|
{ |
| 413 |
|
|
return nb_pole; |
| 414 |
|
|
} |
| 415 |
francois |
632 |
|
| 416 |
|
|
|
| 417 |
francois |
820 |
void MG_FACE::get_liste_pole_uv(std::vector<double> *liste_pole_uv,double eps) |
| 418 |
couturad |
814 |
{ |
| 419 |
francois |
820 |
surface->get_liste_pole(liste_pole_uv,eps); |
| 420 |
|
|
nb_pole = liste_pole_uv->size()/2; |
| 421 |
couturad |
814 |
} |
| 422 |
francois |
632 |
|
| 423 |
couturad |
919 |
void MG_FACE::get_xyz_min_max(double* xyzmin, double* xyzmax, int nb_pas) |
| 424 |
|
|
{ |
| 425 |
|
|
xyzmin[0] = numeric_limits<double>::max(); |
| 426 |
|
|
xyzmin[1] = numeric_limits<double>::max(); |
| 427 |
|
|
xyzmin[2] = numeric_limits<double>::max(); |
| 428 |
|
|
xyzmax[0] = numeric_limits<double>::min(); |
| 429 |
|
|
xyzmax[1] = numeric_limits<double>::min(); |
| 430 |
|
|
xyzmax[2] = numeric_limits<double>::min(); |
| 431 |
|
|
double umin = get_surface()->get_umin(); |
| 432 |
|
|
double umax = get_surface()->get_umax(); |
| 433 |
|
|
if(get_surface()->est_periodique_u()) |
| 434 |
|
|
{ |
| 435 |
|
|
umin=0.0; |
| 436 |
|
|
umax=get_surface()->get_periode_u(); |
| 437 |
|
|
} |
| 438 |
|
|
double pas_u = (umax-umin)/(double)nb_pas; |
| 439 |
|
|
double vmin = get_surface()->get_vmin(); |
| 440 |
|
|
double vmax = get_surface()->get_vmax(); |
| 441 |
|
|
if(get_surface()->est_periodique_v()) |
| 442 |
|
|
{ |
| 443 |
|
|
vmin=0.0; |
| 444 |
|
|
vmax=get_surface()->get_periode_v(); |
| 445 |
|
|
} |
| 446 |
|
|
double pas_v = (umax-umin)/(double)nb_pas; |
| 447 |
|
|
double uv[2]; |
| 448 |
|
|
for(int i=0;i<nb_pas;i++) |
| 449 |
|
|
{ |
| 450 |
|
|
uv[0] = umin+pas_u*i; |
| 451 |
|
|
for(int j=0;j<nb_pas;j++) |
| 452 |
|
|
{ |
| 453 |
|
|
uv[1] = vmin+j*pas_v; |
| 454 |
|
|
double xyz[3]; |
| 455 |
|
|
evaluer(uv,xyz); |
| 456 |
|
|
if(xyz[0]>xyzmax[0]) xyzmax[0]=xyz[0]; |
| 457 |
|
|
else if(xyz[0]<xyzmin[0]) xyzmin[0]=xyz[0]; |
| 458 |
|
|
if(xyz[1]>xyzmax[1]) xyzmax[1]=xyz[1]; |
| 459 |
|
|
else if(xyz[1]<xyzmin[1]) xyzmin[1]=xyz[1]; |
| 460 |
|
|
if(xyz[2]>xyzmax[2]) xyzmax[2]=xyz[2]; |
| 461 |
|
|
else if(xyz[2]<xyzmin[2]) xyzmin[2]=xyz[2]; |
| 462 |
|
|
} |
| 463 |
|
|
} |
| 464 |
|
|
} |
| 465 |
|
|
|
| 466 |
|
|
|
| 467 |
couturad |
814 |
void MG_FACE::change_nb_pole(int val) |
| 468 |
|
|
{ |
| 469 |
|
|
nb_pole=val; |
| 470 |
|
|
} |
| 471 |
francois |
632 |
|
| 472 |
francois |
283 |
VCT& MG_FACE::get_vectorisation(void) |
| 473 |
|
|
{ |
| 474 |
|
|
if (vect==NULL) vect=new VCT_FACE(this); |
| 475 |
|
|
return *vect; |
| 476 |
|
|
} |
| 477 |
|
|
|
| 478 |
francois |
763 |
void MG_FACE::enregistrer(std::ostream& o,double version) |
| 479 |
francois |
283 |
{ |
| 480 |
|
|
o << "%" << get_id() << "=FACE("<< get_idoriginal() << ",$" << surface->get_id() << ",("; |
| 481 |
|
|
for (unsigned int i=0;i<lst_boucle.size();i++) |
| 482 |
|
|
{ |
| 483 |
|
|
o << "$" << lst_boucle[i]->get_id(); |
| 484 |
|
|
if (i!=lst_boucle.size()-1) o << ","; |
| 485 |
|
|
else o << ")"; |
| 486 |
|
|
} |
| 487 |
|
|
int nb=get_nb_ccf(); |
| 488 |
couturad |
814 |
o << "," << orientation << "," << nb_pole << ","; |
| 489 |
francois |
763 |
if (version<2) |
| 490 |
francois |
283 |
{ |
| 491 |
francois |
763 |
o << nb; |
| 492 |
|
|
if (nb!=0) |
| 493 |
|
|
{ |
| 494 |
francois |
283 |
o << ",("; |
| 495 |
|
|
for (int i=0;i<nb;i++) |
| 496 |
|
|
{ |
| 497 |
|
|
char nom[3]; |
| 498 |
|
|
get_type_ccf(i,nom); |
| 499 |
|
|
o << "(" << nom << "," << get_valeur_ccf(i) << ")"; |
| 500 |
|
|
if (i!=nb-1) o << "," ; |
| 501 |
|
|
} |
| 502 |
|
|
o << ")"; |
| 503 |
francois |
763 |
|
| 504 |
|
|
} |
| 505 |
francois |
283 |
} |
| 506 |
francois |
763 |
else |
| 507 |
|
|
enregistrer_ccf(o,version); |
| 508 |
francois |
283 |
o << ");" << std::endl; |
| 509 |
|
|
} |
| 510 |
|
|
|
| 511 |
|
|
|
