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foucault |
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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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void ST_B_SPLINE_SURF::set_periodique_u(int val) |
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{ |
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periodique_u=val; |
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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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} |
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void ST_B_SPLINE_SURF::set_periodique_v(int val) |
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{ |
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periodique_v=val; |
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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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} |
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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 compteur = 0; |
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int inter; |
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if (OPERATEUR::egal(t,knots[nb_pt],1E-10)==1) return nb_pt-1; |
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if (OPERATEUR::egal(t,knots[degre],1E-10)==1) return degre; |
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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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compteur++; |
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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[256]; |
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double saved; |
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grand_n(0,0)=1.0; |
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double gauche[16]; |
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double droite[16]; |
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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[256]; |
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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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#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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} |
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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) |
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{ |
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#define skl(i,j) skl[(i)*(d+1)+j] |
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#define Nu(i,j) Nu[(i)*(degre_u+1)+j] |
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#define Nv(i,j) Nv[(i)*(degre_v+1)+j] |
| 324 |
|
|
#define P(i,j) ptsctr[(i)*(nb_ptsctr_v)+j] |
| 325 |
|
|
|
| 326 |
|
|
int i,j,k,l,s,r,dd; |
| 327 |
|
|
|
| 328 |
|
|
int du = std::min(d,degre_u); |
| 329 |
|
|
for ( k=degre_u+1;k<=d;k++) |
| 330 |
|
|
{ |
| 331 |
|
|
for (int l=0;l<=d-k;k++) |
| 332 |
|
|
{ |
| 333 |
|
|
skl(k,l)=0.0; |
| 334 |
|
|
} |
| 335 |
|
|
} |
| 336 |
|
|
int dv = std::min(d,degre_v); |
| 337 |
|
|
for ( l=degre_v+1;l<=d;l++) |
| 338 |
|
|
{ |
| 339 |
|
|
for ( k=0;k<=d-l;k++) |
| 340 |
|
|
{ |
| 341 |
|
|
skl(k,l)=0.0; |
| 342 |
|
|
} |
| 343 |
|
|
} |
| 344 |
|
|
|
| 345 |
|
|
int inter_u = get_intervalle(nb_ptsctr_u,degre_u,u, knots_u); |
| 346 |
|
|
double Nu [ 256 ]; |
| 347 |
|
|
deriver_fonction(inter_u,u,degre_u,du,knots_u,Nu); |
| 348 |
|
|
|
| 349 |
|
|
int inter_v = get_intervalle(nb_ptsctr_v,degre_v,v, knots_v); |
| 350 |
|
|
double Nv [ 256 ]; |
| 351 |
|
|
deriver_fonction(inter_v,v,degre_v,dv,knots_v,Nv); |
| 352 |
|
|
|
| 353 |
|
|
OT_VECTEUR_4D temp [ 16 ]; |
| 354 |
|
|
for( k=0; k<=du;k++) |
| 355 |
|
|
{ |
| 356 |
|
|
for( s=0; s<=degre_v;s++) |
| 357 |
|
|
{ |
| 358 |
|
|
temp[s]=0.0; |
| 359 |
|
|
for( r=0; r<=degre_u;r++) |
| 360 |
|
|
temp[s]+=P((inter_u-degre_u+r),(inter_v-degre_v+s))*Nu(k,r); |
| 361 |
|
|
} |
| 362 |
|
|
dd = std::min(d-k,dv); |
| 363 |
|
|
for( l=0; l<=dd;l++) |
| 364 |
|
|
{ |
| 365 |
|
|
skl(k,l) = 0.0; |
| 366 |
|
|
for( s=0; s<=degre_v;s++) |
| 367 |
|
|
skl(k,l) += temp[s]*Nv(l,s); |
| 368 |
|
|
} |
| 369 |
|
|
} |
| 370 |
|
|
|
| 371 |
|
|
#undef skl |
| 372 |
|
|
#undef f_deriver_u |
| 373 |
|
|
#undef f_deriver_v |
| 374 |
|
|
#undef P |
| 375 |
|
|
} |
| 376 |
|
|
|
| 377 |
|
|
void ST_B_SPLINE_SURF::deriver_kieme(double *uv,int d,OT_VECTEUR_4D *skl) |
| 378 |
|
|
{ |
| 379 |
|
|
#define skl(i,j) (*(skl+(i)*(d+1)+j)) |
| 380 |
|
|
#define ders(i,j) (*(ders+(i)*(d+1)+j)) |
| 381 |
|
|
double u = uv[0]; |
| 382 |
|
|
double v = uv[1]; |
| 383 |
|
|
int i,j,k,l; |
| 384 |
|
|
OT_VECTEUR_4D pv,pv2; |
| 385 |
|
|
|
| 386 |
|
|
OT_VECTEUR_4D ders [256]; |
| 387 |
|
|
|
| 388 |
|
|
double Bin[256]; |
| 389 |
|
|
int dbin=d+1; |
| 390 |
|
|
binomialCoef(Bin, dbin); |
| 391 |
|
|
#define Bin(i,j) (*(Bin+(i)*(dbin)+j)) |
| 392 |
|
|
|
| 393 |
|
|
deriver_bs_kieme(nb_ptsctr_u,degre_u,knots_u,nb_ptsctr_v,degre_v,knots_v,u,v,d,ders); |
| 394 |
|
|
|
| 395 |
|
|
for(k=0;k<=d;++k) |
| 396 |
|
|
{ |
| 397 |
|
|
for(l=0;l<=d-k;++l) |
| 398 |
|
|
{ |
| 399 |
|
|
pv = ders(k,l); |
| 400 |
|
|
for(j=1;j<=l;j++) |
| 401 |
|
|
pv -= Bin(l,j)*ders(0,j).w()*skl(k,l-j) ; |
| 402 |
|
|
for(i=1;i<=k;i++) |
| 403 |
|
|
{ |
| 404 |
|
|
pv -= Bin(k,i)*ders(i,0).w()*skl(k-i,l) ; |
| 405 |
|
|
pv2 = 0.0 ; |
| 406 |
|
|
for(j=1;j<=l;j++) |
| 407 |
|
|
pv2 += Bin(l,j)*ders(i,j).w()*skl(k-i,l-j) ; |
| 408 |
|
|
pv -= Bin(k,i)*pv2 ; |
| 409 |
|
|
} |
| 410 |
|
|
skl(k,l) = pv; |
| 411 |
|
|
skl(k,l) /= ders[0].w(); |
| 412 |
|
|
} |
| 413 |
|
|
} |
| 414 |
|
|
#undef skl |
| 415 |
|
|
#undef ders |
| 416 |
|
|
#undef Bin |
| 417 |
|
|
} |
| 418 |
|
|
|
| 419 |
|
|
|
| 420 |
|
|
void ST_B_SPLINE_SURF::deriver(double *uv,double *xyzdu, double *xyzdv) |
| 421 |
|
|
{ |
| 422 |
|
|
OT_VECTEUR_4D skl[4]; |
| 423 |
|
|
double uvl[3]; |
| 424 |
|
|
uvl[0]=uv[0]; |
| 425 |
|
|
uvl[1]=uv[1]; |
| 426 |
|
|
if (sens==-1) uvl[0]=umin+umax-uvl[0]; |
| 427 |
|
|
deriver_kieme(uvl,1,skl); |
| 428 |
|
|
#define skl(i,j) skl[(i)*(2)+j] |
| 429 |
|
|
|
| 430 |
|
|
for (int i=0; i<3; i++) |
| 431 |
|
|
xyzdu[i] = sens * skl(1,0)[i]; |
| 432 |
|
|
|
| 433 |
|
|
for (int i=0; i<3; i++) |
| 434 |
|
|
xyzdv[i]=skl(0,1)[i]; |
| 435 |
|
|
|
| 436 |
|
|
#undef skl |
| 437 |
|
|
} |
| 438 |
|
|
|
| 439 |
|
|
void ST_B_SPLINE_SURF::deriver_seconde(double *uv,double* xyzduu,double* xyzduv,double* xyzdvv,double *xyz, double *xyzdu, double *xyzdv) |
| 440 |
|
|
{ |
| 441 |
|
|
#define skl(i,j) skl[(i)*(3)+j] |
| 442 |
|
|
OT_VECTEUR_4D skl[9]; |
| 443 |
|
|
|
| 444 |
|
|
double uvl[3]; |
| 445 |
|
|
uvl[0]=uv[0]; |
| 446 |
|
|
uvl[1]=uv[1]; |
| 447 |
|
|
if (sens==-1) uvl[0]=umin+umax-uvl[0]; |
| 448 |
|
|
deriver_kieme(uvl,2,skl); |
| 449 |
|
|
|
| 450 |
|
|
for (int i=0; i<3; i++) |
| 451 |
|
|
xyzduu[i]=skl(2,0)[i]; |
| 452 |
|
|
|
| 453 |
|
|
for (int i=0; i<3; i++) |
| 454 |
|
|
xyzduv[i] = sens * skl(1,1)[i]; |
| 455 |
|
|
|
| 456 |
|
|
for (int i=0; i<3; i++) |
| 457 |
|
|
xyzdvv[i]=skl(0,2)[i]; |
| 458 |
|
|
|
| 459 |
|
|
if ((xyzdu!=NULL) && (xyzdv!=NULL ) ) |
| 460 |
|
|
{ |
| 461 |
|
|
for (int i=0; i<3; i++) |
| 462 |
|
|
xyzdu[i] = sens * skl(1,0)[i]; |
| 463 |
|
|
|
| 464 |
|
|
for (int i=0; i<3; i++) |
| 465 |
|
|
xyzdv[i]=skl(0,1)[i]; |
| 466 |
|
|
} |
| 467 |
|
|
if (xyz!=NULL) |
| 468 |
|
|
{ |
| 469 |
|
|
for (int i=0; i<3; i++) |
| 470 |
|
|
xyz[i]=skl(0,0)[i]; |
| 471 |
|
|
} |
| 472 |
|
|
|
| 473 |
|
|
unsigned kk, kkk; |
| 474 |
|
|
double LIMITE = 1E99; |
| 475 |
|
|
for (kk = 0; kk<3; kk++) |
| 476 |
|
|
if ( (xyzduu[kk] > LIMITE ) || (xyzduv[kk] > LIMITE ) || (xyzdvv[kk] > LIMITE ) ) |
| 477 |
|
|
break; |
| 478 |
|
|
if (kk < 3) |
| 479 |
|
|
{ |
| 480 |
|
|
deriver_seconde(uv,xyzduu,xyzduv,xyzdvv,xyz, xyzdu, xyzdv); |
| 481 |
|
|
printf("pb"); |
| 482 |
|
|
} |
| 483 |
|
|
|
| 484 |
|
|
#undef skl |
| 485 |
|
|
} |
| 486 |
|
|
|
| 487 |
|
|
void ST_B_SPLINE_SURF::inverser(double *uv,double *xyz,double precision) |
| 488 |
|
|
{ |
| 489 |
|
|
int code=0; |
| 490 |
|
|
int num_point=(nb_ptsctr_u+nb_ptsctr_v)/2; |
| 491 |
|
|
do |
| 492 |
|
|
{ |
| 493 |
|
|
code=inverser2(uv,xyz,num_point,precision); |
| 494 |
|
|
num_point=num_point*2; |
| 495 |
|
|
} |
| 496 |
|
|
while (code==0&&num_point<1500); |
| 497 |
|
|
} |
| 498 |
|
|
|
| 499 |
|
|
|
| 500 |
|
|
int ST_B_SPLINE_SURF::inverser2(double *uv,double *xyz,int num_test, double precision) |
| 501 |
|
|
{ |
| 502 |
|
|
double uvi[2]; |
| 503 |
|
|
double xyz1[3]; |
| 504 |
|
|
double xyzdu[3]; |
| 505 |
|
|
double xyzdv[3]; |
| 506 |
|
|
double xyzduu[3]; |
| 507 |
|
|
double xyzduv[3]; |
| 508 |
|
|
double xyzdvv[3]; |
| 509 |
|
|
OT_VECTEUR_3D Pt(xyz[0],xyz[1],xyz[2]); |
| 510 |
|
|
double a[4]; |
| 511 |
|
|
double delta[2]; |
| 512 |
|
|
double b[9]; |
| 513 |
|
|
double delta_u; |
| 514 |
|
|
double delta_v; |
| 515 |
|
|
double ui; |
| 516 |
|
|
double vi; |
| 517 |
|
|
|
| 518 |
|
|
double distance_ref=1e308; |
| 519 |
|
|
int refu; |
| 520 |
|
|
int refv; |
| 521 |
|
|
|
| 522 |
|
|
for (int ii=0;ii<num_test+1;ii++) |
| 523 |
|
|
{ |
| 524 |
|
|
double u=umin+ii*1./num_test*(umax-umin); |
| 525 |
|
|
uvi[0]=u; |
| 526 |
|
|
for(int jj=0;jj<num_test+1;jj++) |
| 527 |
|
|
{ |
| 528 |
|
|
double v=vmin+jj*1./num_test*(vmax-vmin); |
| 529 |
|
|
uvi[1]=v; |
| 530 |
|
|
evaluer(uvi,xyz1); |
| 531 |
|
|
OT_VECTEUR_3D S(xyz1[0],xyz1[1],xyz1[2]); |
| 532 |
|
|
OT_VECTEUR_3D Distance = S-Pt; |
| 533 |
|
|
double longueur=Distance.get_longueur2(); |
| 534 |
|
|
if (longueur<distance_ref) |
| 535 |
|
|
{ |
| 536 |
|
|
distance_ref=longueur; |
| 537 |
|
|
refu=ii; |
| 538 |
|
|
refv=jj; |
| 539 |
|
|
} |
| 540 |
|
|
} |
| 541 |
|
|
} |
| 542 |
|
|
|
| 543 |
|
|
double uii=umin+refu*1./num_test*(umax-umin); |
| 544 |
|
|
double vii=vmin+refv*1./num_test*(vmax-vmin); |
| 545 |
|
|
int compteur = 0; |
| 546 |
|
|
do |
| 547 |
|
|
{ |
| 548 |
|
|
compteur++; |
| 549 |
|
|
ui=uii; |
| 550 |
|
|
vi=vii; |
| 551 |
|
|
uvi[0]=ui; |
| 552 |
|
|
uvi[1]=vi; |
| 553 |
|
|
deriver_seconde(uvi,xyzduu,xyzduv,xyzdvv,xyz1,xyzdu,xyzdv); |
| 554 |
|
|
OT_VECTEUR_3D S(xyz1[0],xyz1[1],xyz1[2]); |
| 555 |
|
|
OT_VECTEUR_3D Su(xyzdu[0],xyzdu[1],xyzdu[2]); |
| 556 |
|
|
OT_VECTEUR_3D Sv(xyzdv[0],xyzdv[1],xyzdv[2]); |
| 557 |
|
|
OT_VECTEUR_3D Suu(xyzduu[0],xyzduu[1],xyzduu[2]); |
| 558 |
|
|
OT_VECTEUR_3D Suv(xyzduv[0],xyzduv[1],xyzduv[2]); |
| 559 |
|
|
OT_VECTEUR_3D Svv(xyzdvv[0],xyzdvv[1],xyzdvv[2]); |
| 560 |
|
|
OT_VECTEUR_3D Distance = S-Pt; |
| 561 |
|
|
a[0]=Su.get_longueur2()+Distance*Suu; |
| 562 |
|
|
a[1]=Su*Sv+Distance*Suv; |
| 563 |
|
|
a[2]=Su*Sv+Distance*Suv; |
| 564 |
|
|
a[3]=Sv.get_longueur2()+Distance*Svv; |
| 565 |
|
|
b[0]=Distance*Su;b[0]=-b[0]; |
| 566 |
|
|
b[1]=Distance*Sv;b[1]=-b[1]; |
| 567 |
|
|
double denominateur_delta=(a[0]*a[3]-a[2]*a[1]); |
| 568 |
|
|
if (denominateur_delta == 0) |
| 569 |
|
|
return 0; |
| 570 |
|
|
delta_u=(b[0]*a[3]-b[1]*a[1])/denominateur_delta; |
| 571 |
|
|
delta_v=(a[0]*b[1]-a[2]*b[0])/denominateur_delta; |
| 572 |
|
|
if (Su.get_longueur2()>1E-14) |
| 573 |
|
|
uii=ui+delta_u; |
| 574 |
|
|
else |
| 575 |
|
|
uii=ui; |
| 576 |
|
|
if (Sv.get_longueur2()>1E-14) |
| 577 |
|
|
vii=vi+delta_v; |
| 578 |
|
|
else |
| 579 |
|
|
vii=vi; |
| 580 |
|
|
if (periodique_u==0) |
| 581 |
|
|
{ |
| 582 |
|
|
if(uii<umin) uii=umin; |
| 583 |
|
|
if(uii>umax) uii=umax; |
| 584 |
|
|
} |
| 585 |
|
|
if (periodique_v==0) |
| 586 |
|
|
{ |
| 587 |
|
|
if(vii<vmin) vii=vmin; |
| 588 |
|
|
if(vii>vmax) vii=vmax; |
| 589 |
|
|
} |
| 590 |
|
|
if (periodique_u==1) |
| 591 |
|
|
{ |
| 592 |
|
|
if (uii<umin) uii=umax - (umin-uii); |
| 593 |
|
|
if (uii>umax) uii=umin + (uii-umax); |
| 594 |
|
|
} |
| 595 |
|
|
if (periodique_v==1) |
| 596 |
|
|
{ |
| 597 |
|
|
if (vii<vmin) vii=vmax - (vmin-vii); |
| 598 |
|
|
if (vii>vmax) vii=vmin + (vii-vmax); |
| 599 |
|
|
} |
| 600 |
|
|
delta_u=uii-ui; |
| 601 |
|
|
delta_v=vii-vi; |
| 602 |
|
|
if (compteur>500) return 0; |
| 603 |
|
|
} |
| 604 |
|
|
|
| 605 |
|
|
while ((fabs(delta_u)>precision)||(fabs(delta_v)>precision)); |
| 606 |
|
|
uv[0]=uii; |
| 607 |
|
|
uv[1]=vii; |
| 608 |
|
|
return 1; |
| 609 |
|
|
} |
| 610 |
|
|
|
| 611 |
|
|
int ST_B_SPLINE_SURF::est_periodique_u(void) |
| 612 |
|
|
{ |
| 613 |
|
|
return periodique_u; |
| 614 |
|
|
} |
| 615 |
|
|
int ST_B_SPLINE_SURF::est_periodique_v(void) |
| 616 |
|
|
{ |
| 617 |
|
|
return periodique_v; |
| 618 |
|
|
} |
| 619 |
|
|
double ST_B_SPLINE_SURF::get_periode_u(void) |
| 620 |
|
|
{ |
| 621 |
|
|
return periode_u; |
| 622 |
|
|
} |
| 623 |
|
|
double ST_B_SPLINE_SURF::get_periode_v(void) |
| 624 |
|
|
{ |
| 625 |
|
|
return periode_v; |
| 626 |
|
|
} |
| 627 |
|
|
double ST_B_SPLINE_SURF::get_umin(void) |
| 628 |
|
|
{ |
| 629 |
|
|
return umin; |
| 630 |
|
|
} |
| 631 |
|
|
double ST_B_SPLINE_SURF::get_umax(void) |
| 632 |
|
|
{ |
| 633 |
|
|
return umax; |
| 634 |
|
|
} |
| 635 |
|
|
double ST_B_SPLINE_SURF::get_vmin(void) |
| 636 |
|
|
{ |
| 637 |
|
|
return vmin; |
| 638 |
|
|
} |
| 639 |
|
|
double ST_B_SPLINE_SURF::get_vmax(void) |
| 640 |
|
|
{ |
| 641 |
|
|
return vmax; |
| 642 |
|
|
} |
| 643 |
|
|
|
| 644 |
|
|
int ST_B_SPLINE_SURF::get_type_geometrique(TPL_LISTE_ENTITE<double> ¶m) |
| 645 |
|
|
{ |
| 646 |
|
|
for(int i=0;i<nb_ptsctr_u-(degre_u+1);i++) |
| 647 |
|
|
{ |
| 648 |
|
|
param.ajouter(knots_u[i]); |
| 649 |
|
|
} |
| 650 |
|
|
for(int i=0;i<nb_ptsctr_v-(degre_v+1);i++) |
| 651 |
|
|
{ |
| 652 |
|
|
param.ajouter(knots_v[i]); |
| 653 |
|
|
} |
| 654 |
|
|
double xyz[3]; |
| 655 |
|
|
for(int i=0;i<nb_point;i++) |
| 656 |
|
|
{ |
| 657 |
|
|
param.ajouter(ptsctr[i].x()/ptsctr[i].w()); |
| 658 |
|
|
param.ajouter(ptsctr[i].y()/ptsctr[i].w()); |
| 659 |
|
|
param.ajouter(ptsctr[i].z()/ptsctr[i].w()); |
| 660 |
|
|
} |
| 661 |
|
|
for(int i=0;i<nb_point;i++) |
| 662 |
|
|
{ |
| 663 |
|
|
param.ajouter(ptsctr[i].w()); |
| 664 |
|
|
} |
| 665 |
|
|
param.ajouter(degre_u); |
| 666 |
|
|
param.ajouter(degre_v); |
| 667 |
|
|
return MGCo_BSPLINES; |
| 668 |
|
|
} |
| 669 |
|
|
|
| 670 |
|
|
void ST_B_SPLINE_SURF::initialiser(class ST_GESTIONNAIRE* gest) |
| 671 |
|
|
{ |
| 672 |
|
|
for (int i=0;i<nb_point;i++) |
| 673 |
|
|
{ |
| 674 |
|
|
ST_POINT* stpoint=gest->lst_point.getid(indexptsctr[i]); |
| 675 |
|
|
double xyz[3]; |
| 676 |
|
|
stpoint->evaluer(xyz); |
| 677 |
|
|
double w=1.0; |
| 678 |
|
|
ptsctr.push_back(OT_VECTEUR_4D(w*xyz[0],w*xyz[1],w*xyz[2],w)); |
| 679 |
|
|
} |
| 680 |
|
|
|
| 681 |
|
|
periodique_u=1; |
| 682 |
|
|
for (int i=0; i<nb_ptsctr_v; i++) |
| 683 |
|
|
{ |
| 684 |
|
|
ST_POINT* point1_u=gest->lst_point.getid(indexptsctr[i]); |
| 685 |
|
|
ST_POINT* point2_u=gest->lst_point.getid(indexptsctr[nb_ptsctr_v*(nb_ptsctr_u-1)+i]); |
| 686 |
|
|
double xyz1[3]; |
| 687 |
|
|
double xyz2[3]; |
| 688 |
|
|
point1_u->evaluer(xyz1); |
| 689 |
|
|
point2_u->evaluer(xyz2); |
| 690 |
|
|
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)))) |
| 691 |
|
|
{ |
| 692 |
|
|
periodique_u=0; |
| 693 |
|
|
} |
| 694 |
|
|
} |
| 695 |
|
|
if (periodique_u==1) |
| 696 |
|
|
{ |
| 697 |
|
|
int i=knots_u.size(); |
| 698 |
|
|
periode_u=(knots_u[i-1]-knots_u[0]); |
| 699 |
|
|
} |
| 700 |
|
|
else periode_u=0; |
| 701 |
|
|
periodique_v=1; |
| 702 |
|
|
for (int j=0; j<nb_ptsctr_u; j++) |
| 703 |
|
|
{ |
| 704 |
|
|
ST_POINT* point1_v=gest->lst_point.getid(indexptsctr[j*nb_ptsctr_v]); |
| 705 |
|
|
ST_POINT* point2_v=gest->lst_point.getid(indexptsctr[j*nb_ptsctr_v+nb_ptsctr_v-1]); |
| 706 |
|
|
double xyz3[3]; |
| 707 |
|
|
double xyz4[3]; |
| 708 |
|
|
point1_v->evaluer(xyz3); |
| 709 |
|
|
point2_v->evaluer(xyz4); |
| 710 |
|
|
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)))) |
| 711 |
|
|
{ |
| 712 |
|
|
periodique_v=0; |
| 713 |
|
|
} |
| 714 |
|
|
} |
| 715 |
|
|
if (periodique_v==1) |
| 716 |
|
|
{ |
| 717 |
|
|
int j=knots_v.size(); |
| 718 |
|
|
periode_v=(knots_v[j-1]-knots_v[0]); |
| 719 |
|
|
} |
| 720 |
|
|
else periode_v=0; |
| 721 |
|
|
} |
| 722 |
|
|
|
| 723 |
|
|
|
| 724 |
|
|
|
| 725 |
|
|
void ST_B_SPLINE_SURF::est_util(ST_GESTIONNAIRE* gest) |
| 726 |
|
|
{ |
| 727 |
|
|
util=true; |
| 728 |
|
|
for (int i=0;i<nb_point;i++) |
| 729 |
|
|
gest->lst_point.getid(indexptsctr[i])->est_util(gest); |
| 730 |
|
|
} |
| 731 |
|
|
|
| 732 |
|
|
|
| 733 |
|
|
|
| 734 |
|
|
void ST_B_SPLINE_SURF::get_param_NURBS(int& indx_premier_ptctr,TPL_LISTE_ENTITE<double> ¶m) |
| 735 |
|
|
{ |
| 736 |
|
|
|
| 737 |
|
|
|
| 738 |
|
|
// The first parameter indicate the code access |
| 739 |
|
|
param.ajouter(2); |
| 740 |
|
|
// The follewing two parameters of the list indicate the orders of the net points |
| 741 |
|
|
|
| 742 |
|
|
param.ajouter(degre_u+1); |
| 743 |
|
|
param.ajouter(degre_v+1); |
| 744 |
|
|
|
| 745 |
|
|
// The follewing two parameters indicate the number of rows and colons of the control points |
| 746 |
|
|
// respectively to the two parameters directions |
| 747 |
|
|
|
| 748 |
|
|
param.ajouter(nb_ptsctr_u); |
| 749 |
|
|
param.ajouter(nb_ptsctr_v); |
| 750 |
|
|
|
| 751 |
|
|
// this present the knot vector in the u-direction |
| 752 |
|
|
|
| 753 |
|
|
for(unsigned int i=0;i<knots_u.size();i++) |
| 754 |
|
|
{ |
| 755 |
|
|
param.ajouter(knots_u[i]); |
| 756 |
|
|
} |
| 757 |
|
|
|
| 758 |
|
|
//This present the knot vector in the v-direction |
| 759 |
|
|
|
| 760 |
|
|
for(unsigned int j=0;j<knots_v.size();j++) |
| 761 |
|
|
{ |
| 762 |
|
|
param.ajouter(knots_v[j]); |
| 763 |
|
|
} |
| 764 |
|
|
|
| 765 |
|
|
|
| 766 |
|
|
for(unsigned int pt=0;pt<ptsctr.size();pt++) |
| 767 |
|
|
{ |
| 768 |
|
|
|
| 769 |
|
|
double w=ptsctr[pt].w(); |
| 770 |
|
|
double inv_w=1/w; |
| 771 |
|
|
double x=ptsctr[pt].x()*inv_w; |
| 772 |
|
|
double y=ptsctr[pt].y()*inv_w; |
| 773 |
|
|
double z=ptsctr[pt].z()*inv_w; |
| 774 |
|
|
param.ajouter(x); |
| 775 |
|
|
param.ajouter(y); |
| 776 |
|
|
param.ajouter(z); |
| 777 |
|
|
param.ajouter(w); |
| 778 |
|
|
/* |
| 779 |
|
|
OT_VECTEUR_4D ctrpoint=ptsctr[pt]; |
| 780 |
|
|
for(int i=0;i<4;i++) |
| 781 |
|
|
{ |
| 782 |
|
|
param.ajouter(ctrpoint[i]); |
| 783 |
|
|
} */ |
| 784 |
|
|
|
| 785 |
|
|
indx_premier_ptctr=5+knots_u.size()+knots_v.size(); |
| 786 |
|
|
|
| 787 |
|
|
} |
| 788 |
|
|
|
| 789 |
|
|
|
| 790 |
|
|
|
| 791 |
|
|
|
| 792 |
|
|
|
| 793 |
|
|
|
| 794 |
|
|
|
| 795 |
|
|
|
| 796 |
|
|
|
| 797 |
|
|
|
| 798 |
|
|
} |
