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//---------------------------------------------------------------------------
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#pragma hdrstop
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#include "gestionversion.h"
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#include "stbsplines.h"
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#include <vector>
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#include "st_gestionnaire.h"
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#include "ot_systeme.h"
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#include "constantegeo.h"
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#include <math.h>
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//---------------------------------------------------------------------------
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#pragma package(smart_init)
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ST_B_SPLINE_SURF::ST_B_SPLINE_SURF(long LigneCourante,std::string idori,int bs_degre_u,int bs_degre_v,std::vector<int> bs_indexptsctr,std::vector<int> bs_knots_multiplicities_u,std::vector<int> bs_knots_multiplicities_v,std::vector<double> bs_knots_u,std::vector<double> bs_knots_v):ST_SURFACE(LigneCourante,idori),degre_u(bs_degre_u),degre_v(bs_degre_v),sens(1)
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{
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int r_u=bs_knots_multiplicities_u.size();
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for (int k=0;k<r_u;k++)
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{
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for (int j=0;j<bs_knots_multiplicities_u[k];j++)
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knots_u.insert(knots_u.end(),bs_knots_u[k]);
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}
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int r_v=bs_knots_multiplicities_v.size();
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for (int k=0;k<r_v;k++)
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{
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for (int j=0;j<bs_knots_multiplicities_v[k];j++)
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knots_v.insert(knots_v.end(),bs_knots_v[k]);
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}
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nb_point=bs_indexptsctr.size();
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nb_ptsctr_u=knots_u.size()-degre_u-1;
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nb_ptsctr_v=knots_v.size()-degre_v-1;
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for (int i=0;i<nb_point;i++)
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{
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indexptsctr.insert(indexptsctr.end(),bs_indexptsctr[i]);
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}
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umin=knots_u[0];
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umax=knots_u[knots_u.size()-1];
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vmin=knots_v[0];
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vmax=knots_v[knots_v.size()-1];
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}
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ST_B_SPLINE_SURF::ST_B_SPLINE_SURF(int bs_degre_u,int bs_degre_v,std::vector<double> &bs_knots_u,std::vector<double> &bs_knots_v,std::vector<double> &bs_ptsctr,std::vector<double> &bs_poids,int sense):ST_SURFACE(),degre_u(bs_degre_u),degre_v(bs_degre_v),sens(sense)
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{
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int r_u=bs_knots_u.size();
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for (int k=0;k<r_u;k++)
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knots_u.insert(knots_u.end(),bs_knots_u[k]);
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int r_v=bs_knots_v.size();
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for (int k=0;k<r_v;k++)
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knots_v.insert(knots_v.end(),bs_knots_v[k]);
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nb_point=bs_ptsctr.size()/3;
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nb_ptsctr_u=knots_u.size()-degre_u-1;
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nb_ptsctr_v=knots_v.size()-degre_v-1;
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for (int i=0;i<nb_point;i++)
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{
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double x=bs_ptsctr[3*i];
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double y=bs_ptsctr[3*i+1];
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double z=bs_ptsctr[3*i+2];
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double w=bs_poids[i];
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ptsctr.push_back(OT_VECTEUR_4D(w*x,w*y,w*z,w));
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}
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periodique_u=1;
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for (int i=0; i<nb_ptsctr_v; i++)
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{
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double *xyz1=ptsctr[i];
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double *xyz2=ptsctr[nb_ptsctr_v*(nb_ptsctr_u-1)+i];
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if ((!(OPERATEUR::egal (xyz1[0],xyz2[0],1E-10))) || (!(OPERATEUR::egal (xyz1[1],xyz2[1],1E-10))) || (!(OPERATEUR::egal (xyz1[2],xyz2[2],1E-10))))
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{
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periodique_u=0;
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break;
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}
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}
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if (periodique_u==1)
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{
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int i=knots_u.size();
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periode_u=(knots_u[i-1]-knots_u[0]);
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}
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else periode_u=0;
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periodique_v=1;
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for (int j=0; j<nb_ptsctr_u; j++)
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{
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double *xyz3=ptsctr[j];
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double *xyz4=ptsctr[(j*nb_ptsctr_v+nb_ptsctr_v-1)];
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if ((!(OPERATEUR::egal (xyz3[0],xyz4[0],1E-10))) || (!(OPERATEUR::egal (xyz3[1],xyz4[1],1E-10))) || (!(OPERATEUR::egal (xyz3[2],xyz4[2],1E-10))))
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{
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periodique_v=0;
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break;
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}
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}
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if (periodique_v==1)
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{
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int j=knots_v.size();
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periode_v=(knots_v[j-1]-knots_v[0]);
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}
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else periode_v=0;
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umin=knots_u[0];
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umax=knots_u[knots_u.size()-1];
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vmin=knots_v[0];
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vmax=knots_v[knots_v.size()-1];
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}
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ST_B_SPLINE_SURF::~ST_B_SPLINE_SURF()
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{
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}
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int ST_B_SPLINE_SURF::get_intervalle(int nb_pt, int degre, double t, std::vector<double> &knots)
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{
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int inter;
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if (OPERATEUR::egal(t,knots[nb_pt],1E-12)==1) inter=nb_pt-1;
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else
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{
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int low=degre;
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int high=nb_pt+1;
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int mid=((low+high)/2);
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while ((t<knots[mid-1]) || (t>=knots[mid]))
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{
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if (t<knots[mid-1]) high=mid;
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else low=mid;
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mid=(low+high)/2;
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}
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inter=mid-1;
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}
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return inter;
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}
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void ST_B_SPLINE_SURF::get_valeur_fonction(int inter, double t, int degre, std::vector<double> &knots,double *grand_n)
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{
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double saved;
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grand_n[0]=1.0;
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double *gauche=new double[degre];
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double *droite=new double[degre];
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for (int j=1;j<=degre;j++)
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{
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gauche[j-1]= t-knots[inter-j+1];
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droite[j-1]=knots[inter+j]-t;
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saved=0.0;
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for (int r=0;r<j;r++)
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{
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double temp=grand_n[r]/(droite[r]+ gauche[j-r-1]);
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grand_n[r]=saved+droite[r]* temp;
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saved=gauche[j-r-1]*temp;
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}
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grand_n[j]=saved;
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}
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delete [] gauche;
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delete [] droite;
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}
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void ST_B_SPLINE_SURF::evaluer(double *uv,double *xyz)
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{
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double u = uv[0];
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double v = uv[1];
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if (sens==-1) u=umin+umax-u;
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#define P(i,j) ptsctr [ (uspan - degre_u + i) * nb_ptsctr_v + (vspan - degre_v + j) ]
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int uspan = get_intervalle(nb_ptsctr_u,degre_u,u, knots_u);
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int vspan = get_intervalle(nb_ptsctr_v,degre_v,v, knots_v);
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double Nu[20];
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get_valeur_fonction(uspan,u,degre_u,knots_u,Nu);
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double Nv[20];
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get_valeur_fonction(vspan,v,degre_v,knots_v,Nv);
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OT_VECTEUR_4D temp[20];
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int l;
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for(l=0;l<=degre_v;l++){
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temp[l] =0.0 ;
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for(int k=0;k<=degre_u;k++){
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temp[l] += Nu[k]*P(k,l) ;
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}
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}
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OT_VECTEUR_4D sp(0,0,0,0) ;
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for(l=0;l<=degre_v;l++){
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sp += Nv[l]*temp[l];
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}
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// transform homogeneous coordinates to 3D coordinates
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for (int i=0; i<3; i++)
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xyz[i] = sp[i]/sp.w();
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#undef P
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}
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void ST_B_SPLINE_SURF::deriver_fonction(int inter,double t,int degre,int dd,std::vector<double> &knots,double *f_deriver)
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{
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#define f_deriver(i,j) (*(f_deriver+(i)*(degre+1)+j))
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#define grand_n(i,j) (*(grand_n+(i)*(degre+1)+j))
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#define a(i,j) (*(a+(i)*(dd+1)+j))
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double *grand_n=new double[(degre+1)*(degre+1)];
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double saved;
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grand_n(0,0)=1.0;
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double *gauche=new double[degre+1];
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double *droite=new double[degre+1];
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for (int j=1;j<=degre;j++)
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{
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gauche[j]= t-knots[inter-j+1];
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droite[j]=knots[inter+j]-t;
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saved=0.0;
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for (int r=0;r<j;r++)
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{
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grand_n(j,r)=(droite[r+1]+ gauche[j-r]);
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double temp = grand_n(r,j-1)/grand_n(j,r);
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grand_n(r,j)= saved+droite[r+1]*temp;
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saved=gauche[j-r]*temp;
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}
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grand_n(j,j)=saved;
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}
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for (int j=0;j<=degre;j++)
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{
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f_deriver(0,j)= grand_n(j,degre);
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}
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double *a=new double[(dd+1)*2];
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for (int r=0;r<=degre;r++)
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{
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int s1=0; int s2=1;
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a(0,0)=1.0;
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for (int k=1;k<=dd; k++)
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{
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double d=0.0;
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int rk=r-k; int pk=degre-k;
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if(r>=k)
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{
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a(s2,0)=a(s1,0)/grand_n(pk+1,rk);
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d= a(s2,0)* grand_n(rk,pk);
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}
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int j1; int j2;
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if(rk>=-1) j1=1;
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else j1= -rk;
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if(r-1<=pk) j2=k-1;
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else j2=degre-r;
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for (int j=j1;j<=j2;j++)
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{
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a(s2,j) = (a(s1,j)-a(s1,j-1))/grand_n(pk+1,rk+j);
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d+=a(s2,j)*grand_n(rk+j,pk);
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}
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if(r<=pk)
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{
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a(s2,k) = -a(s1,k-1)/grand_n(pk+1,r);
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d+=a(s2,k)*grand_n(r,pk);
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}
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f_deriver(k,r)=d;
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int j=s1; s1=s2; s2=j;
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}
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}
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int r=degre;
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for (int k=1;k<=dd;k++)
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{
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for (int j=0;j<=degre;j++)
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{
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f_deriver(k,j)*=r;
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}
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r*=(degre-k);
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}
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delete [] a;
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delete [] grand_n;
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delete [] gauche;
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delete [] droite;
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#undef f_deriver
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#undef grand_n
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#undef a
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}
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// Setup the binomial coefficients into th matrix Bin
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// Bin(i,j) = (i j)
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// The binomical coefficients are defined as follow
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// (n) n!
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// (k) = k!(n-k)! 0<=k<=n
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// and the following relationship applies
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// (n+1) (n) ( n )
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// ( k ) = (k) + (k-1)
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void ST_B_SPLINE_SURF::binomialCoef(double * Bin, int d){
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int n,k;
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// Setup the first line
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Bin[0] = 1.0 ;
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for(k=d-1;k>0;--k)
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Bin[k] = 0.0 ;
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// Setup the other lines
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for(n=0;n<d-1;n++){
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Bin[(n+1)*d+0] = 1.0 ;
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for(k=1;k<d;k++)
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if(n+1<k)
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Bin[(n+1)*d+k] = 0.0 ;
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else
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Bin[(n+1)*d+k] = Bin[n*d+k] + Bin[n*d+k-1] ;
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}
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| 299 |
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}
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void ST_B_SPLINE_SURF::deriver_bs_kieme(int nb_ptsctr_u,int degre_u,std::vector<double> &knots_u,int nb_ptsctr_v,int degre_v,std::vector<double> &knots_v,double u,double v,int d,OT_VECTEUR_4D * skl)
|
| 302 |
|
|
{
|
| 303 |
|
|
#define skl(i,j) skl[(i)*(d+1)+j]
|
| 304 |
|
|
#define Nu(i,j) Nu[(i)*(degre_u+1)+j]
|
| 305 |
|
|
#define Nv(i,j) Nv[(i)*(degre_v+1)+j]
|
| 306 |
|
|
#define P(i,j) ptsctr[(i)*(nb_ptsctr_v)+j]
|
| 307 |
|
|
|
| 308 |
|
|
int i,j,k,l,s,r,dd;
|
| 309 |
|
|
|
| 310 |
|
|
int du = std::min(d,degre_u);
|
| 311 |
|
|
for ( k=degre_u+1;k<=d;k++)
|
| 312 |
|
|
{
|
| 313 |
|
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for (int l=0;l<=d-k;k++)
|
| 314 |
|
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{
|
| 315 |
|
|
skl(k,l)=0.0;
|
| 316 |
|
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}
|
| 317 |
|
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}
|
| 318 |
|
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int dv = std::min(d,degre_v);
|
| 319 |
|
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for ( l=degre_v+1;l<=d;l++)
|
| 320 |
|
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{
|
| 321 |
|
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for ( k=0;k<=d-l;k++)
|
| 322 |
|
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{
|
| 323 |
|
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skl(k,l)=0.0;
|
| 324 |
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}
|
| 325 |
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}
|
| 326 |
|
|
|
| 327 |
|
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int inter_u = get_intervalle(nb_ptsctr_u,degre_u,u, knots_u);
|
| 328 |
|
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double Nu [ 256 ];
|
| 329 |
|
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deriver_fonction(inter_u,u,degre_u,du,knots_u,Nu);
|
| 330 |
|
|
|
| 331 |
|
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int inter_v = get_intervalle(nb_ptsctr_v,degre_v,v, knots_v);
|
| 332 |
|
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double Nv [ 256 ];
|
| 333 |
|
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deriver_fonction(inter_v,v,degre_v,dv,knots_v,Nv);
|
| 334 |
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|
|
| 335 |
|
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OT_VECTEUR_4D temp [ 16 ];
|
| 336 |
|
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for( k=0; k<=du;k++)
|
| 337 |
|
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{
|
| 338 |
|
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for( s=0; s<=degre_v;s++)
|
| 339 |
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{
|
| 340 |
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temp[s]=0.0;
|
| 341 |
|
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for( r=0; r<=degre_u;r++)
|
| 342 |
|
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temp[s]+=P((inter_u-degre_u+r),(inter_v-degre_v+s))*Nu(k,r);
|
| 343 |
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}
|
| 344 |
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dd = std::min(d-k,dv);
|
| 345 |
|
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for( l=0; l<=dd;l++)
|
| 346 |
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{
|
| 347 |
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skl(k,l) = 0.0;
|
| 348 |
|
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for( s=0; s<=degre_v;s++)
|
| 349 |
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skl(k,l) += temp[s]*Nv(l,s);
|
| 350 |
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}
|
| 351 |
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}
|
| 352 |
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|
| 353 |
|
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#undef skl
|
| 354 |
|
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#undef f_deriver_u
|
| 355 |
|
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#undef f_deriver_v
|
| 356 |
|
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#undef P
|
| 357 |
|
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}
|
| 358 |
|
|
|
| 359 |
|
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void ST_B_SPLINE_SURF::deriver_kieme(double *uv,int d,OT_VECTEUR_4D *skl)
|
| 360 |
|
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{
|
| 361 |
|
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#define skl(i,j) (*(skl+(i)*(d+1)+j))
|
| 362 |
|
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#define ders(i,j) (*(ders+(i)*(d+1)+j))
|
| 363 |
|
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double u = uv[0];
|
| 364 |
|
|
double v = uv[1];
|
| 365 |
|
|
int i,j,k,l;
|
| 366 |
|
|
OT_VECTEUR_4D pv,pv2;
|
| 367 |
|
|
|
| 368 |
|
|
OT_VECTEUR_4D ders [256];
|
| 369 |
|
|
|
| 370 |
|
|
double Bin[256];
|
| 371 |
|
|
int dbin=std::max(degre_u, degre_v);
|
| 372 |
|
|
binomialCoef(Bin, dbin);
|
| 373 |
|
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#define Bin(i,j) (*(Bin+(i)*(dbin)+j))
|
| 374 |
|
|
|
| 375 |
|
|
deriver_bs_kieme(nb_ptsctr_u,degre_u,knots_u,nb_ptsctr_v,degre_v,knots_v,u,v,d,ders);
|
| 376 |
|
|
|
| 377 |
|
|
for(k=0;k<=d;++k)
|
| 378 |
|
|
{
|
| 379 |
|
|
for(l=0;l<=d-k;++l)
|
| 380 |
|
|
{
|
| 381 |
|
|
pv = ders(k,l);
|
| 382 |
|
|
for(j=1;j<=l;j++)
|
| 383 |
|
|
pv -= Bin(l,j)*ders(0,j).w()*skl(k,l-j) ;
|
| 384 |
|
|
for(i=1;i<=k;i++)
|
| 385 |
|
|
{
|
| 386 |
|
|
pv -= Bin(k,i)*ders(i,0).w()*skl(k-i,l) ;
|
| 387 |
|
|
pv2 = 0.0 ;
|
| 388 |
|
|
for(j=1;j<=l;j++)
|
| 389 |
|
|
pv2 += Bin(l,j)*ders(i,j).w()*skl(k-i,l-j) ;
|
| 390 |
|
|
pv -= Bin(k,i)*pv2 ;
|
| 391 |
|
|
}
|
| 392 |
|
|
skl(k,l) = pv;
|
| 393 |
|
|
skl(k,l) /= ders[0].w();
|
| 394 |
|
|
}
|
| 395 |
|
|
}
|
| 396 |
|
|
#undef skl
|
| 397 |
|
|
#undef ders
|
| 398 |
|
|
#undef Bin
|
| 399 |
|
|
}
|
| 400 |
|
|
|
| 401 |
|
|
|
| 402 |
|
|
void ST_B_SPLINE_SURF::deriver(double *uv,double *xyzdu, double *xyzdv)
|
| 403 |
|
|
{
|
| 404 |
|
|
OT_VECTEUR_4D skl[4];
|
| 405 |
|
|
double uvl[3];
|
| 406 |
|
|
uvl[0]=uv[0];
|
| 407 |
|
|
uvl[1]=uv[1];
|
| 408 |
|
|
if (sens==-1) uvl[0]=umin+umax-uvl[0];
|
| 409 |
|
|
deriver_kieme(uvl,1,skl);
|
| 410 |
|
|
#define skl(i,j) skl[(i)*(2)+j]
|
| 411 |
|
|
|
| 412 |
|
|
for (int i=0; i<3; i++)
|
| 413 |
|
|
xyzdu[i] = sens * skl(1,0)[i];
|
| 414 |
|
|
|
| 415 |
|
|
for (int i=0; i<3; i++)
|
| 416 |
|
|
xyzdv[i]=skl(0,1)[i];
|
| 417 |
|
|
|
| 418 |
|
|
#undef skl
|
| 419 |
|
|
}
|
| 420 |
|
|
|
| 421 |
|
|
void ST_B_SPLINE_SURF::deriver_seconde(double *uv,double* xyzduu,double* xyzduv,double* xyzdvv,double *xyz, double *xyzdu, double *xyzdv)
|
| 422 |
|
|
{
|
| 423 |
|
|
#define skl(i,j) skl[(i)*(3)+j]
|
| 424 |
|
|
OT_VECTEUR_4D skl[9];
|
| 425 |
|
|
|
| 426 |
|
|
double uvl[3];
|
| 427 |
|
|
uvl[0]=uv[0];
|
| 428 |
|
|
uvl[1]=uv[1];
|
| 429 |
|
|
if (sens==-1) uvl[0]=umin+umax-uvl[0];
|
| 430 |
|
|
deriver_kieme(uvl,2,skl);
|
| 431 |
|
|
|
| 432 |
|
|
for (int i=0; i<3; i++)
|
| 433 |
|
|
xyzduu[i]=skl(2,0)[i];
|
| 434 |
|
|
|
| 435 |
|
|
for (int i=0; i<3; i++)
|
| 436 |
|
|
xyzduv[i] = sens * skl(1,1)[i];
|
| 437 |
|
|
|
| 438 |
|
|
for (int i=0; i<3; i++)
|
| 439 |
|
|
xyzdvv[i]=skl(0,2)[i];
|
| 440 |
|
|
|
| 441 |
|
|
if ((xyzdu!=NULL) && (xyzdv!=NULL ) )
|
| 442 |
|
|
{
|
| 443 |
|
|
for (int i=0; i<3; i++)
|
| 444 |
|
|
xyzdu[i] = sens * skl(1,0)[i];
|
| 445 |
|
|
|
| 446 |
|
|
for (int i=0; i<3; i++)
|
| 447 |
|
|
xyzdv[i]=skl(0,1)[i];
|
| 448 |
|
|
}
|
| 449 |
|
|
if (xyz!=NULL)
|
| 450 |
|
|
{
|
| 451 |
|
|
for (int i=0; i<3; i++)
|
| 452 |
|
|
xyz[i]=skl(0,0)[i];
|
| 453 |
|
|
}
|
| 454 |
|
|
|
| 455 |
|
|
unsigned kk, kkk;
|
| 456 |
|
|
double LIMITE = 1E99;
|
| 457 |
|
|
for (kk = 0; kk<3; kk++)
|
| 458 |
|
|
if ( (xyzduu[kk] > LIMITE ) || (xyzduv[kk] > LIMITE ) || (xyzdvv[kk] > LIMITE ) )
|
| 459 |
|
|
break;
|
| 460 |
|
|
if (kk < 3)
|
| 461 |
|
|
{
|
| 462 |
|
|
deriver_seconde(uv,xyzduu,xyzduv,xyzdvv,xyz, xyzdu, xyzdv);
|
| 463 |
|
|
printf("pb");
|
| 464 |
|
|
}
|
| 465 |
|
|
|
| 466 |
|
|
#undef skl
|
| 467 |
|
|
}
|
| 468 |
|
|
|
| 469 |
|
|
void ST_B_SPLINE_SURF::inverser(double *uv,double *xyz,double precision)
|
| 470 |
|
|
{
|
| 471 |
|
|
int code;
|
| 472 |
|
|
int num_point=(nb_ptsctr_u+nb_ptsctr_v)/2;
|
| 473 |
|
|
do
|
| 474 |
|
|
{
|
| 475 |
|
|
code=inverser2(uv,xyz,num_point,precision);
|
| 476 |
|
|
num_point=num_point*2;
|
| 477 |
|
|
}
|
| 478 |
|
|
while (code==0);
|
| 479 |
|
|
}
|
| 480 |
|
|
|
| 481 |
|
|
|
| 482 |
|
|
int ST_B_SPLINE_SURF::inverser2(double *uv,double *xyz,int num_test, double precision)
|
| 483 |
|
|
{
|
| 484 |
|
|
double uvi[2];
|
| 485 |
|
|
double xyz1[3];
|
| 486 |
|
|
double xyzdu[3];
|
| 487 |
|
|
double xyzdv[3];
|
| 488 |
|
|
double xyzduu[3];
|
| 489 |
|
|
double xyzduv[3];
|
| 490 |
|
|
double xyzdvv[3];
|
| 491 |
|
|
OT_VECTEUR_3D Pt(xyz[0],xyz[1],xyz[2]);
|
| 492 |
|
|
double a[4];
|
| 493 |
|
|
double delta[2];
|
| 494 |
|
|
double b[9];
|
| 495 |
|
|
double delta_u;
|
| 496 |
|
|
double delta_v;
|
| 497 |
|
|
double ui;
|
| 498 |
|
|
double vi;
|
| 499 |
|
|
|
| 500 |
|
|
double distance_ref=1e308;
|
| 501 |
|
|
int refu;
|
| 502 |
|
|
int refv;
|
| 503 |
|
|
|
| 504 |
|
|
for (int ii=0;ii<num_test+1;ii++)
|
| 505 |
|
|
{
|
| 506 |
|
|
double u=umin+ii*1./num_test*(umax-umin);
|
| 507 |
|
|
uvi[0]=u;
|
| 508 |
|
|
for(int jj=0;jj<num_test+1;jj++)
|
| 509 |
|
|
{
|
| 510 |
|
|
double v=vmin+jj*1./num_test*(vmax-vmin);
|
| 511 |
|
|
uvi[1]=v;
|
| 512 |
|
|
evaluer(uvi,xyz1);
|
| 513 |
|
|
OT_VECTEUR_3D S(xyz1[0],xyz1[1],xyz1[2]);
|
| 514 |
|
|
OT_VECTEUR_3D Distance = S-Pt;
|
| 515 |
|
|
double longueur=Distance.get_longueur2();
|
| 516 |
|
|
if (longueur<distance_ref)
|
| 517 |
|
|
{
|
| 518 |
|
|
distance_ref=longueur;
|
| 519 |
|
|
refu=ii;
|
| 520 |
|
|
refv=jj;
|
| 521 |
|
|
}
|
| 522 |
|
|
}
|
| 523 |
|
|
}
|
| 524 |
|
|
|
| 525 |
|
|
double uii=umin+refu*1./num_test*(umax-umin);
|
| 526 |
|
|
double vii=vmin+refv*1./num_test*(vmax-vmin);
|
| 527 |
|
|
int compteur = 0;
|
| 528 |
|
|
do
|
| 529 |
|
|
{
|
| 530 |
|
|
compteur++;
|
| 531 |
|
|
ui=uii;
|
| 532 |
|
|
vi=vii;
|
| 533 |
|
|
uvi[0]=ui;
|
| 534 |
|
|
uvi[1]=vi;
|
| 535 |
|
|
deriver_seconde(uvi,xyzduu,xyzduv,xyzdvv,xyz1,xyzdu,xyzdv);
|
| 536 |
|
|
OT_VECTEUR_3D S(xyz1[0],xyz1[1],xyz1[2]);
|
| 537 |
|
|
OT_VECTEUR_3D Su(xyzdu[0],xyzdu[1],xyzdu[2]);
|
| 538 |
|
|
OT_VECTEUR_3D Sv(xyzdv[0],xyzdv[1],xyzdv[2]);
|
| 539 |
|
|
OT_VECTEUR_3D Suu(xyzduu[0],xyzduu[1],xyzduu[2]);
|
| 540 |
|
|
OT_VECTEUR_3D Suv(xyzduv[0],xyzduv[1],xyzduv[2]);
|
| 541 |
|
|
OT_VECTEUR_3D Svv(xyzdvv[0],xyzdvv[1],xyzdvv[2]);
|
| 542 |
|
|
OT_VECTEUR_3D Distance = S-Pt;
|
| 543 |
|
|
a[0]=Su.get_longueur2()+Distance*Suu;
|
| 544 |
|
|
a[1]=Su*Sv+Distance*Suv;
|
| 545 |
|
|
a[2]=Su*Sv+Distance*Suv;
|
| 546 |
|
|
a[3]=Sv.get_longueur2()+Distance*Svv;
|
| 547 |
|
|
b[0]=Distance*Su;b[0]=-b[0];
|
| 548 |
|
|
b[1]=Distance*Sv;b[1]=-b[1];
|
| 549 |
|
|
double delta=1./(a[0]*a[3]-a[2]*a[1]);
|
| 550 |
|
|
delta_u=delta*(b[0]*a[3]-b[1]*a[1]);
|
| 551 |
|
|
delta_v=delta*(a[0]*b[1]-a[2]*b[0]);
|
| 552 |
|
|
uii=ui+delta_u;
|
| 553 |
|
|
vii=vi+delta_v;
|
| 554 |
|
|
if (periodique_u==0)
|
| 555 |
|
|
{
|
| 556 |
|
|
if(uii<umin) uii=umin;
|
| 557 |
|
|
if(uii>umax) uii=umax;
|
| 558 |
|
|
}
|
| 559 |
|
|
if (periodique_v==0)
|
| 560 |
|
|
{
|
| 561 |
|
|
if(vii<vmin) vii=vmin;
|
| 562 |
|
|
if(vii>vmax) vii=vmax;
|
| 563 |
|
|
}
|
| 564 |
|
|
if (periodique_u==1)
|
| 565 |
|
|
{
|
| 566 |
|
|
if(uii<umin) uii=umax - (umin-uii);
|
| 567 |
|
|
if(uii>umax) uii=umin + (uii-umax);
|
| 568 |
|
|
}
|
| 569 |
|
|
if (periodique_v==1)
|
| 570 |
|
|
{
|
| 571 |
|
|
if(vii<vmin) vii=vmax - (vmin-vii);
|
| 572 |
|
|
if(vii>vmax) vii=vmin + (vii-vmax);
|
| 573 |
|
|
}
|
| 574 |
|
|
delta_u=uii-ui;
|
| 575 |
|
|
delta_v=vii-vi;
|
| 576 |
|
|
if (compteur>500) return 0;
|
| 577 |
|
|
}
|
| 578 |
|
|
|
| 579 |
|
|
while ((fabs(delta_u)>precision)||(fabs(delta_v)>precision));
|
| 580 |
|
|
uv[0]=uii;
|
| 581 |
|
|
uv[1]=vii;
|
| 582 |
|
|
return 1;
|
| 583 |
|
|
}
|
| 584 |
|
|
|
| 585 |
|
|
int ST_B_SPLINE_SURF::est_periodique_u(void)
|
| 586 |
|
|
{
|
| 587 |
|
|
return periodique_u;
|
| 588 |
|
|
}
|
| 589 |
|
|
int ST_B_SPLINE_SURF::est_periodique_v(void)
|
| 590 |
|
|
{
|
| 591 |
|
|
return periodique_v;
|
| 592 |
|
|
}
|
| 593 |
|
|
double ST_B_SPLINE_SURF::get_periode_u(void)
|
| 594 |
|
|
{
|
| 595 |
|
|
return periode_u;
|
| 596 |
|
|
}
|
| 597 |
|
|
double ST_B_SPLINE_SURF::get_periode_v(void)
|
| 598 |
|
|
{
|
| 599 |
|
|
return periode_v;
|
| 600 |
|
|
}
|
| 601 |
|
|
double ST_B_SPLINE_SURF::get_umin(void)
|
| 602 |
|
|
{
|
| 603 |
|
|
return umin;
|
| 604 |
|
|
}
|
| 605 |
|
|
double ST_B_SPLINE_SURF::get_umax(void)
|
| 606 |
|
|
{
|
| 607 |
|
|
return umax;
|
| 608 |
|
|
}
|
| 609 |
|
|
double ST_B_SPLINE_SURF::get_vmin(void)
|
| 610 |
|
|
{
|
| 611 |
|
|
return vmin;
|
| 612 |
|
|
}
|
| 613 |
|
|
double ST_B_SPLINE_SURF::get_vmax(void)
|
| 614 |
|
|
{
|
| 615 |
|
|
return vmax;
|
| 616 |
|
|
}
|
| 617 |
|
|
|
| 618 |
|
|
int ST_B_SPLINE_SURF::get_type_geometrique(TPL_LISTE_ENTITE<double> ¶m)
|
| 619 |
|
|
{
|
| 620 |
|
|
for(int i=0;i<nb_ptsctr_u-(degre_u+1);i++)
|
| 621 |
|
|
{
|
| 622 |
|
|
param.ajouter(knots_u[i]);
|
| 623 |
|
|
}
|
| 624 |
|
|
for(int i=0;i<nb_ptsctr_v-(degre_v+1);i++)
|
| 625 |
|
|
{
|
| 626 |
|
|
param.ajouter(knots_v[i]);
|
| 627 |
|
|
}
|
| 628 |
|
|
double xyz[3];
|
| 629 |
|
|
for(int i=0;i<nb_point;i++)
|
| 630 |
|
|
{
|
| 631 |
|
|
param.ajouter(ptsctr[i].x()/ptsctr[i].w());
|
| 632 |
|
|
param.ajouter(ptsctr[i].y()/ptsctr[i].w());
|
| 633 |
|
|
param.ajouter(ptsctr[i].z()/ptsctr[i].w());
|
| 634 |
|
|
}
|
| 635 |
|
|
for(int i=0;i<nb_point;i++)
|
| 636 |
|
|
{
|
| 637 |
|
|
param.ajouter(ptsctr[i].w());
|
| 638 |
|
|
}
|
| 639 |
|
|
param.ajouter(degre_u);
|
| 640 |
|
|
param.ajouter(degre_v);
|
| 641 |
|
|
return MGCo_BSPLINES;
|
| 642 |
|
|
}
|
| 643 |
|
|
|
| 644 |
|
|
void ST_B_SPLINE_SURF::initialiser(class ST_GESTIONNAIRE* gest)
|
| 645 |
|
|
{
|
| 646 |
|
|
for (int i=0;i<nb_point;i++)
|
| 647 |
|
|
{
|
| 648 |
|
|
ST_POINT* stpoint=gest->lst_point.getid(indexptsctr[i]);
|
| 649 |
|
|
double xyz[3];
|
| 650 |
|
|
stpoint->evaluer(xyz);
|
| 651 |
|
|
double w=1.0;
|
| 652 |
|
|
ptsctr.push_back(OT_VECTEUR_4D(w*xyz[0],w*xyz[1],w*xyz[2],w));
|
| 653 |
|
|
}
|
| 654 |
|
|
|
| 655 |
|
|
periodique_u=1;
|
| 656 |
|
|
for (int i=0; i<nb_ptsctr_v; i++)
|
| 657 |
|
|
{
|
| 658 |
|
|
ST_POINT* point1_u=gest->lst_point.getid(indexptsctr[i]);
|
| 659 |
|
|
ST_POINT* point2_u=gest->lst_point.getid(indexptsctr[nb_ptsctr_v*(nb_ptsctr_u-1)+i]);
|
| 660 |
|
|
double xyz1[3];
|
| 661 |
|
|
double xyz2[3];
|
| 662 |
|
|
point1_u->evaluer(xyz1);
|
| 663 |
|
|
point2_u->evaluer(xyz2);
|
| 664 |
|
|
if ((!(OPERATEUR::egal (xyz1[0],xyz2[0],1E-10))) || (!(OPERATEUR::egal (xyz1[1],xyz2[1],1E-10))) || (!(OPERATEUR::egal (xyz1[2],xyz2[2],1E-10))))
|
| 665 |
|
|
{
|
| 666 |
|
|
periodique_u=0;
|
| 667 |
|
|
}
|
| 668 |
|
|
}
|
| 669 |
|
|
if (periodique_u==1)
|
| 670 |
|
|
{
|
| 671 |
|
|
int i=knots_u.size();
|
| 672 |
|
|
periode_u=(knots_u[i-1]-knots_u[0]);
|
| 673 |
|
|
}
|
| 674 |
|
|
else periode_u=0;
|
| 675 |
|
|
periodique_v=1;
|
| 676 |
|
|
for (int j=0; j<nb_ptsctr_u; j++)
|
| 677 |
|
|
{
|
| 678 |
|
|
ST_POINT* point1_v=gest->lst_point.getid(indexptsctr[j*nb_ptsctr_v]);
|
| 679 |
|
|
ST_POINT* point2_v=gest->lst_point.getid(indexptsctr[j*nb_ptsctr_v+nb_ptsctr_v-1]);
|
| 680 |
|
|
double xyz3[3];
|
| 681 |
|
|
double xyz4[3];
|
| 682 |
|
|
point1_v->evaluer(xyz3);
|
| 683 |
|
|
point2_v->evaluer(xyz4);
|
| 684 |
|
|
if ((!(OPERATEUR::egal (xyz3[0],xyz4[0],1E-10))) || (!(OPERATEUR::egal (xyz3[1],xyz4[1],1E-10))) || (!(OPERATEUR::egal (xyz3[2],xyz4[2],1E-10))))
|
| 685 |
|
|
{
|
| 686 |
|
|
periodique_v=0;
|
| 687 |
|
|
}
|
| 688 |
|
|
}
|
| 689 |
|
|
if (periodique_v==1)
|
| 690 |
|
|
{
|
| 691 |
|
|
int j=knots_v.size();
|
| 692 |
|
|
periode_v=(knots_v[j-1]-knots_v[0]);
|
| 693 |
|
|
}
|
| 694 |
|
|
else periode_v=0;
|
| 695 |
|
|
}
|
| 696 |
|
|
|
| 697 |
|
|
|
| 698 |
|
|
|
| 699 |
|
|
void ST_B_SPLINE_SURF::est_util(ST_GESTIONNAIRE* gest)
|
| 700 |
|
|
{
|
| 701 |
|
|
util=true;
|
| 702 |
|
|
for (int i=0;i<nb_point;i++)
|
| 703 |
|
|
gest->lst_point.getid(indexptsctr[i])->est_util(gest);
|
| 704 |
|
|
}
|
| 705 |
|
|
|
| 706 |
|
|
|
| 707 |
|
|
|
| 708 |
|
|
void ST_B_SPLINE_SURF::get_param_NURBS(TPL_LISTE_ENTITE<double> ¶m)
|
| 709 |
|
|
{
|
| 710 |
|
|
|
| 711 |
|
|
|
| 712 |
|
|
// The first parameter indicate the code access
|
| 713 |
|
|
param.ajouter(2);
|
| 714 |
|
|
// The follewing two parameters of the list indicate the orders of the net points
|
| 715 |
|
|
|
| 716 |
|
|
param.ajouter(degre_u+1);
|
| 717 |
|
|
param.ajouter(degre_v+1);
|
| 718 |
|
|
|
| 719 |
|
|
// The follewing two parameters indicate the number of rows and colons of the control points
|
| 720 |
|
|
// respectively to the two parameters directions
|
| 721 |
|
|
|
| 722 |
|
|
param.ajouter(nb_ptsctr_u);
|
| 723 |
|
|
param.ajouter(nb_ptsctr_v);
|
| 724 |
|
|
|
| 725 |
|
|
// this present the knot vector in the u-direction
|
| 726 |
|
|
|
| 727 |
|
|
for(unsigned int i=0;i<knots_u.size();i++)
|
| 728 |
|
|
{
|
| 729 |
|
|
param.ajouter(knots_u[i]);
|
| 730 |
|
|
}
|
| 731 |
|
|
|
| 732 |
|
|
//This present the knot vector in the v-direction
|
| 733 |
|
|
|
| 734 |
|
|
for(unsigned int j=0;j<knots_u.size();j++)
|
| 735 |
|
|
{
|
| 736 |
|
|
param.ajouter(knots_v[j]);
|
| 737 |
|
|
}
|
| 738 |
|
|
|
| 739 |
|
|
|
| 740 |
|
|
for(unsigned int pt=0;pt<ptsctr.size();pt++)
|
| 741 |
|
|
{
|
| 742 |
|
|
|
| 743 |
|
|
OT_VECTEUR_4D ctrpoint=ptsctr[pt];
|
| 744 |
|
|
for(int i=0;i<4;i++)
|
| 745 |
|
|
{
|
| 746 |
|
|
param.ajouter(ctrpoint[i]);
|
| 747 |
|
|
}
|
| 748 |
|
|
|
| 749 |
|
|
|
| 750 |
|
|
|
| 751 |
|
|
}
|
| 752 |
|
|
|
| 753 |
|
|
|
| 754 |
|
|
|
| 755 |
|
|
|
| 756 |
|
|
|
| 757 |
|
|
|
| 758 |
|
|
|
| 759 |
|
|
|
| 760 |
|
|
|
| 761 |
|
|
|
| 762 |
|
|
}
|
