| 1 |
|
5 |
//------------------------------------------------------------
|
| 2 |
|
|
//------------------------------------------------------------
|
| 3 |
|
|
// MAGiC
|
| 4 |
|
|
// Jean Christophe Cuillière et Vincent FRANCOIS
|
| 5 |
|
|
// Département de Génie Mécanique - UQTR
|
| 6 |
|
|
//------------------------------------------------------------
|
| 7 |
|
|
// Le projet MAGIC est un projet de recherche du département
|
| 8 |
|
|
// de génie mécanique de l'Université du Québec à
|
| 9 |
|
|
// Trois Rivières
|
| 10 |
|
|
// Les librairies ne peuvent être utilisées sans l'accord
|
| 11 |
|
|
// des auteurs (contact : francois@uqtr.ca)
|
| 12 |
|
|
//------------------------------------------------------------
|
| 13 |
|
|
//------------------------------------------------------------
|
| 14 |
|
|
//
|
| 15 |
|
|
// stspherical.cpp
|
| 16 |
|
|
//
|
| 17 |
|
|
//------------------------------------------------------------
|
| 18 |
|
|
//------------------------------------------------------------
|
| 19 |
|
|
// COPYRIGHT 2000
|
| 20 |
|
|
// Version du 02/03/2006 à 11H24
|
| 21 |
|
|
//------------------------------------------------------------
|
| 22 |
|
|
//------------------------------------------------------------
|
| 23 |
|
|
|
| 24 |
|
|
|
| 25 |
|
|
#include "gestionversion.h"
|
| 26 |
|
|
|
| 27 |
|
|
#include "stspherical.h"
|
| 28 |
|
|
#include "st_gestionnaire.h"
|
| 29 |
|
|
#include "constantegeo.h"
|
| 30 |
|
|
|
| 31 |
|
|
#include <math.h>
|
| 32 |
|
|
|
| 33 |
|
|
|
| 34 |
|
|
|
| 35 |
|
|
|
| 36 |
|
|
ST_SPHERICAL::ST_SPHERICAL(long LigneCourante,std::string idori,long axis2,double ray):ST_SURFACE(LigneCourante,idori),id_axis2_placement_3d(axis2),rayon(ray)
|
| 37 |
|
|
{
|
| 38 |
|
|
}
|
| 39 |
|
|
|
| 40 |
|
|
ST_SPHERICAL::ST_SPHERICAL(double *xyz,double *dirz,double *dirx,double ray):ST_SURFACE(),rayon(ray)
|
| 41 |
|
|
{
|
| 42 |
|
|
initialiser(xyz,dirz,dirx);
|
| 43 |
|
|
}
|
| 44 |
|
|
|
| 45 |
|
|
|
| 46 |
|
|
long ST_SPHERICAL::get_id_axis2_placement_3d(void)
|
| 47 |
|
|
{
|
| 48 |
|
|
return id_axis2_placement_3d;
|
| 49 |
|
|
}
|
| 50 |
|
|
|
| 51 |
|
|
double ST_SPHERICAL::get_rayon(void)
|
| 52 |
|
|
{
|
| 53 |
|
|
return rayon;
|
| 54 |
|
|
}
|
| 55 |
|
|
void ST_SPHERICAL::evaluer(double *uv,double *xyz)
|
| 56 |
|
|
{
|
| 57 |
|
|
OT_VECTEUR_3D local(rayon*cos(uv[1])*cos(uv[0]),rayon*cos(uv[1])*sin(uv[0]),rayon*sin(uv[1]));
|
| 58 |
|
|
OT_VECTEUR_3D global=origine+repere*local;
|
| 59 |
|
|
xyz[0]=global.get_x();
|
| 60 |
|
|
xyz[1]=global.get_y();
|
| 61 |
|
|
xyz[2]=global.get_z();
|
| 62 |
|
|
}
|
| 63 |
|
|
void ST_SPHERICAL::deriver(double *uv,double *xyzdu, double *xyzdv)
|
| 64 |
|
|
{
|
| 65 |
|
|
OT_VECTEUR_3D localu(-rayon*sin(uv[0])*cos(uv[1]),rayon*cos(uv[0])*cos(uv[1]),0.);
|
| 66 |
|
|
OT_VECTEUR_3D localv(-rayon*sin(uv[1])*cos(uv[0]),-rayon*sin(uv[1])*sin(uv[0]),rayon*cos(uv[1]));
|
| 67 |
|
|
OT_VECTEUR_3D globalu=repere*localu;
|
| 68 |
|
|
OT_VECTEUR_3D globalv=repere*localv;
|
| 69 |
|
|
xyzdu[0]=globalu.get_x();
|
| 70 |
|
|
xyzdu[1]=globalu.get_y();
|
| 71 |
|
|
xyzdu[2]=globalu.get_z();
|
| 72 |
|
|
xyzdv[0]=globalv.get_x();
|
| 73 |
|
|
xyzdv[1]=globalv.get_y();
|
| 74 |
|
|
xyzdv[2]=globalv.get_z();
|
| 75 |
|
|
}
|
| 76 |
|
|
void ST_SPHERICAL::deriver_seconde(double *uv,double* xyzduu,double* xyzduv,double* xyzdvv,double *xyz , double *xyzdu , double *xyzdv )
|
| 77 |
|
|
{
|
| 78 |
|
|
OT_VECTEUR_3D localuu(-rayon*cos(uv[1])*cos(uv[0]),-rayon*cos(uv[1])*sin(uv[0]),0.);
|
| 79 |
|
|
OT_VECTEUR_3D localuv(rayon*sin(uv[0])*sin(uv[1]),-rayon*cos(uv[0])*sin(uv[1]),0.);
|
| 80 |
|
|
OT_VECTEUR_3D localvv(-rayon*cos(uv[1])*cos(uv[0]),-rayon*cos(uv[1])*sin(uv[0]),-rayon*sin(uv[1]));
|
| 81 |
|
|
OT_VECTEUR_3D globaluu=repere*localuu;
|
| 82 |
|
|
OT_VECTEUR_3D globaluv=repere*localuv;
|
| 83 |
|
|
OT_VECTEUR_3D globalvv=repere*localvv;
|
| 84 |
|
|
xyzduu[0]=globaluu.get_x();
|
| 85 |
|
|
xyzduu[1]=globaluu.get_y();
|
| 86 |
|
|
xyzduu[2]=globaluu.get_z();
|
| 87 |
|
|
xyzduv[0]=globaluv.get_x();
|
| 88 |
|
|
xyzduv[1]=globaluv.get_y();
|
| 89 |
|
|
xyzduv[2]=globaluv.get_z();
|
| 90 |
|
|
xyzdvv[0]=globalvv.get_x();
|
| 91 |
|
|
xyzdvv[1]=globalvv.get_y();
|
| 92 |
|
|
xyzdvv[2]=globalvv.get_z();
|
| 93 |
|
|
if ((xyzdu!=NULL) && (xyzdv!=NULL ) ) deriver(uv,xyzdu,xyzdv);
|
| 94 |
|
|
if (xyz!=NULL) evaluer(uv,xyz);
|
| 95 |
|
|
}
|
| 96 |
|
|
void ST_SPHERICAL::inverser(double *uv,double *xyz,double precision)
|
| 97 |
|
|
{
|
| 98 |
|
|
double sign;
|
| 99 |
|
|
OT_VECTEUR_3D global(xyz[0],xyz[1],xyz[2]);
|
| 100 |
|
|
OT_MATRICE_3D transpose_repere;
|
| 101 |
|
|
repere.transpose(transpose_repere);
|
| 102 |
|
|
OT_VECTEUR_3D vecteur=transpose_repere*(global-origine);
|
| 103 |
|
|
double valeur1;
|
| 104 |
|
|
valeur1=vecteur.get_z()/rayon;
|
| 105 |
|
|
if (valeur1>1) valeur1=1;
|
| 106 |
|
|
if (valeur1<-1) valeur1=-1;
|
| 107 |
|
|
uv[1]=asin(valeur1);
|
| 108 |
|
|
double valeur2;
|
| 109 |
|
|
valeur2=vecteur.get_x()/(rayon*cos(uv[1]));
|
| 110 |
|
|
if (valeur2>1) valeur2=1;
|
| 111 |
|
|
if (valeur2<-1) valeur2=-1;
|
| 112 |
|
|
uv[0]=acos(valeur2);
|
| 113 |
|
|
sign=vecteur.get_y()/(rayon*cos(uv[1]));
|
| 114 |
|
|
if (sign<-0.000001) uv[0]= 2.*M_PI-uv[0];
|
| 115 |
|
|
}
|
| 116 |
|
|
int ST_SPHERICAL::est_periodique_u(void)
|
| 117 |
|
|
{
|
| 118 |
|
|
return 1;
|
| 119 |
|
|
}
|
| 120 |
|
|
int ST_SPHERICAL::est_periodique_v(void)
|
| 121 |
|
|
{
|
| 122 |
|
|
return 0;
|
| 123 |
|
|
}
|
| 124 |
|
|
double ST_SPHERICAL::get_periode_u(void)
|
| 125 |
|
|
{
|
| 126 |
|
|
return 2.*M_PI;
|
| 127 |
|
|
}
|
| 128 |
|
|
double ST_SPHERICAL::get_periode_v(void)
|
| 129 |
|
|
{
|
| 130 |
|
|
return 0;
|
| 131 |
|
|
}
|
| 132 |
|
|
double ST_SPHERICAL::get_umin(void)
|
| 133 |
|
|
{
|
| 134 |
|
|
return 0.;
|
| 135 |
|
|
}
|
| 136 |
|
|
double ST_SPHERICAL::get_umax(void)
|
| 137 |
|
|
{
|
| 138 |
|
|
return 2.*M_PI;
|
| 139 |
|
|
}
|
| 140 |
|
|
double ST_SPHERICAL::get_vmin(void)
|
| 141 |
|
|
{
|
| 142 |
|
|
return -M_PI/2.;
|
| 143 |
|
|
}
|
| 144 |
|
|
double ST_SPHERICAL::get_vmax(void)
|
| 145 |
|
|
{
|
| 146 |
|
|
return M_PI/2.;
|
| 147 |
|
|
}
|
| 148 |
|
|
|
| 149 |
|
|
void ST_SPHERICAL::initialiser(ST_GESTIONNAIRE *gest)
|
| 150 |
|
|
{
|
| 151 |
|
|
ST_AXIS2_PLACEMENT_3D* axe=gest->lst_axis2_placement_3d.getid(id_axis2_placement_3d);
|
| 152 |
|
|
ST_DIRECTION* dirz=gest->lst_direction.getid(axe->get_id_direction1());
|
| 153 |
|
|
ST_DIRECTION* dirx=gest->lst_direction.getid(axe->get_id_direction2());
|
| 154 |
|
|
ST_POINT* point=gest->lst_point.getid(axe->get_id_point());
|
| 155 |
|
|
double xyz[3];
|
| 156 |
|
|
point->evaluer(xyz);
|
| 157 |
|
|
double *directz=dirz->get_direction();
|
| 158 |
|
|
double *directx=dirx->get_direction();
|
| 159 |
|
|
initialiser(xyz,directz,directx);
|
| 160 |
|
|
}
|
| 161 |
|
|
|
| 162 |
|
|
|
| 163 |
|
|
void ST_SPHERICAL::initialiser(double *xyz,double *dirz, double *dirx)
|
| 164 |
|
|
{
|
| 165 |
|
|
origine.change_x(xyz[0]);
|
| 166 |
|
|
origine.change_y(xyz[1]);
|
| 167 |
|
|
origine.change_z(xyz[2]);
|
| 168 |
|
|
double axez[3]={0.,0.,1.};
|
| 169 |
|
|
double axex[3]={1.,0.,0.};
|
| 170 |
|
|
if (dirz==NULL)
|
| 171 |
|
|
{
|
| 172 |
|
|
dirz=axez;
|
| 173 |
|
|
dirx=axex;
|
| 174 |
|
|
}
|
| 175 |
|
|
OT_VECTEUR_3D z(dirz[0],dirz[1],dirz[2]);
|
| 176 |
|
|
z.norme();
|
| 177 |
|
|
OT_VECTEUR_3D x(dirx[0],dirx[1],dirx[2]);
|
| 178 |
|
|
x.norme();
|
| 179 |
|
|
OT_VECTEUR_3D y=z&x;
|
| 180 |
|
|
repere.change_vecteur1(x);
|
| 181 |
|
|
repere.change_vecteur2(y);
|
| 182 |
|
|
repere.change_vecteur3(z);
|
| 183 |
|
|
}
|
| 184 |
|
|
|
| 185 |
|
|
|
| 186 |
|
|
int ST_SPHERICAL::get_type_geometrique(TPL_LISTE_ENTITE<double> ¶m)
|
| 187 |
|
|
{
|
| 188 |
|
|
param.ajouter(origine.get_x());
|
| 189 |
|
|
param.ajouter(origine.get_y());
|
| 190 |
|
|
param.ajouter(origine.get_z());
|
| 191 |
|
|
param.ajouter(rayon);
|
| 192 |
|
|
return MGCo_SPHERE;
|
| 193 |
|
|
}
|
| 194 |
|
|
|
| 195 |
|
|
|
| 196 |
|
|
void ST_SPHERICAL::est_util(ST_GESTIONNAIRE* gest)
|
| 197 |
|
|
{
|
| 198 |
|
|
util=true;
|
| 199 |
|
|
gest->lst_axis2_placement_3d.getid(id_axis2_placement_3d)->est_util(gest);
|
| 200 |
|
|
}
|
| 201 |
|
|
|
| 202 |
|
|
|
| 203 |
|
|
|
| 204 |
|
|
void ST_SPHERICAL:: get_param_NURBS(TPL_LISTE_ENTITE<double> ¶m)
|
| 205 |
|
|
{
|
| 206 |
|
|
|
| 207 |
|
|
// The first parameter indicate the code access
|
| 208 |
|
|
param.ajouter(2);
|
| 209 |
|
|
|
| 210 |
|
|
// The follewing two parameters of the list indicate the orders of the net points
|
| 211 |
|
|
|
| 212 |
|
|
param.ajouter(4);
|
| 213 |
|
|
param.ajouter(4);
|
| 214 |
|
|
|
| 215 |
|
|
// The follewing two parameters indicate the number of rows and colons of the control points
|
| 216 |
|
|
// respectively to the two parameters directions
|
| 217 |
|
|
|
| 218 |
|
|
param.ajouter(4);
|
| 219 |
|
|
param.ajouter(7);
|
| 220 |
|
|
|
| 221 |
|
|
// this present the knot vector in the u-direction
|
| 222 |
|
|
|
| 223 |
|
|
param.ajouter(0);
|
| 224 |
|
|
param.ajouter(0);
|
| 225 |
|
|
param.ajouter(0);
|
| 226 |
|
|
param.ajouter(0.25);
|
| 227 |
|
|
param.ajouter(0.5);
|
| 228 |
|
|
param.ajouter(0.5);
|
| 229 |
|
|
param.ajouter(0.75);
|
| 230 |
|
|
param.ajouter(1);
|
| 231 |
|
|
param.ajouter(1);
|
| 232 |
|
|
param.ajouter(1);
|
| 233 |
|
|
|
| 234 |
|
|
// the following is the V_knots of the semicircle in the direction V
|
| 235 |
|
|
|
| 236 |
|
|
|
| 237 |
|
|
param.ajouter(0);
|
| 238 |
|
|
param.ajouter(0);
|
| 239 |
|
|
param.ajouter(0);
|
| 240 |
|
|
param.ajouter(0.5);
|
| 241 |
|
|
param.ajouter(1);
|
| 242 |
|
|
param.ajouter(1);
|
| 243 |
|
|
param.ajouter(1);
|
| 244 |
|
|
|
| 245 |
|
|
// the weight of the controle point are given in this vecteur wi={1,0.5,0.5,1}
|
| 246 |
|
|
// Notice that the controle point at the north and south poles of the sphere
|
| 247 |
|
|
// are repeated sventh times P0,0=....=P6,0 and P0,3=....=P0,3
|
| 248 |
|
|
|
| 249 |
|
|
double xyz[3];
|
| 250 |
|
|
double w;
|
| 251 |
|
|
double rx=0.;
|
| 252 |
|
|
double ry=0.;
|
| 253 |
|
|
double rz=rayon;
|
| 254 |
|
|
//==========================================
|
| 255 |
|
|
//POLE 1
|
| 256 |
|
|
//==========================================
|
| 257 |
|
|
OT_VECTEUR_3D loc(0,0,rz);
|
| 258 |
|
|
OT_VECTEUR_3D glob=origine+repere*loc;
|
| 259 |
|
|
|
| 260 |
|
|
double pole1_x=glob.get_x();
|
| 261 |
|
|
double pole1_y=glob.get_y();
|
| 262 |
|
|
double pole1_z=glob.get_z();
|
| 263 |
|
|
//==========================================
|
| 264 |
|
|
//POLE 2
|
| 265 |
|
|
//==========================================
|
| 266 |
|
|
loc.change_z(-rz);
|
| 267 |
|
|
glob=origine+repere*loc;
|
| 268 |
|
|
|
| 269 |
|
|
double pole2_x=glob.get_x();
|
| 270 |
|
|
double pole2_y=glob.get_y();
|
| 271 |
|
|
double pole2_z=glob.get_z();
|
| 272 |
|
|
//==========================================
|
| 273 |
|
|
|
| 274 |
|
|
for(int v=0;v<7;v++)
|
| 275 |
|
|
{
|
| 276 |
|
|
|
| 277 |
|
|
switch (v){
|
| 278 |
|
|
case 0: {rx=rayon;ry=0;w=1; break;}
|
| 279 |
|
|
case 1: {rx=rayon;ry=rayon;w=0.5; break;}
|
| 280 |
|
|
case 2: {rx=-rayon;ry=rayon;w=0.5; break;}
|
| 281 |
|
|
case 3: {rx=-rayon;ry=0;w=1; break;}
|
| 282 |
|
|
case 4: {rx=-rayon;ry=-rayon;w=0.5; break;}
|
| 283 |
|
|
case 5: {rx=rayon;ry=-rayon;w=0.5; break;}
|
| 284 |
|
|
case 6: {rx=rayon;ry=0;w=1; break;}
|
| 285 |
|
|
}
|
| 286 |
|
|
//P0j
|
| 287 |
|
|
param.ajouter(pole1_x);
|
| 288 |
|
|
param.ajouter(pole1_y);
|
| 289 |
|
|
param.ajouter(pole1_z);
|
| 290 |
|
|
param.ajouter(1*w);
|
| 291 |
|
|
|
| 292 |
|
|
//P1j
|
| 293 |
|
|
|
| 294 |
|
|
loc.change_x(rx);
|
| 295 |
|
|
loc.change_y(ry);
|
| 296 |
|
|
|
| 297 |
|
|
glob=origine+repere*loc;
|
| 298 |
|
|
|
| 299 |
|
|
xyz[0]=glob.get_x();
|
| 300 |
|
|
xyz[1]=glob.get_y();
|
| 301 |
|
|
xyz[2]=glob.get_z();
|
| 302 |
|
|
|
| 303 |
|
|
param.ajouter(xyz[0]);
|
| 304 |
|
|
param.ajouter(xyz[1]);
|
| 305 |
|
|
param.ajouter(xyz[2]);
|
| 306 |
|
|
param.ajouter(0.5*w);
|
| 307 |
|
|
|
| 308 |
|
|
//P2j
|
| 309 |
|
|
|
| 310 |
|
|
loc.change_z(-rz);
|
| 311 |
|
|
|
| 312 |
|
|
glob=origine+repere*loc;
|
| 313 |
|
|
|
| 314 |
|
|
xyz[0]=glob.get_x();
|
| 315 |
|
|
xyz[1]=glob.get_y();
|
| 316 |
|
|
xyz[2]=glob.get_z();
|
| 317 |
|
|
|
| 318 |
|
|
param.ajouter(xyz[0]);
|
| 319 |
|
|
param.ajouter(xyz[1]);
|
| 320 |
|
|
param.ajouter(xyz[2]);
|
| 321 |
|
|
param.ajouter(0.5*w);
|
| 322 |
|
|
|
| 323 |
|
|
|
| 324 |
|
|
//P3j
|
| 325 |
|
|
|
| 326 |
|
|
param.ajouter(pole2_x);
|
| 327 |
|
|
param.ajouter(pole2_y);
|
| 328 |
|
|
param.ajouter(pole2_z);
|
| 329 |
|
|
param.ajouter(1*w);
|
| 330 |
|
|
|
| 331 |
|
|
|
| 332 |
|
|
}
|
| 333 |
|
|
|
| 334 |
|
|
|
| 335 |
|
|
|
| 336 |
|
|
|
| 337 |
|
|
|
| 338 |
|
|
|
| 339 |
|
|
|
| 340 |
|
|
/*
|
| 341 |
|
|
for(int j=0;j<2;j++)
|
| 342 |
|
|
{
|
| 343 |
|
|
|
| 344 |
|
|
double rz;
|
| 345 |
|
|
|
| 346 |
|
|
if (j==0) rz=rayon;
|
| 347 |
|
|
if (j==1) rz=-rayon;
|
| 348 |
|
|
//=======================================================
|
| 349 |
|
|
// point de controle au premier pole : P00
|
| 350 |
|
|
//=======================================================
|
| 351 |
|
|
OT_VECTEUR_3D loc(0,0,rz);
|
| 352 |
|
|
OT_VECTEUR_3D glob=origine+repere*loc;
|
| 353 |
|
|
|
| 354 |
|
|
xyz[0]=glob.get_x();
|
| 355 |
|
|
xyz[1]=glob.get_y();
|
| 356 |
|
|
xyz[2]=glob.get_z();
|
| 357 |
|
|
|
| 358 |
|
|
param.ajouter(xyz[0]);
|
| 359 |
|
|
param.ajouter(xyz[1]);
|
| 360 |
|
|
param.ajouter(xyz[2]);
|
| 361 |
|
|
param.ajouter(1);
|
| 362 |
|
|
//=======================================================
|
| 363 |
|
|
//=======================================================
|
| 364 |
|
|
loc.change_x(rayon);
|
| 365 |
|
|
|
| 366 |
|
|
glob=origine+repere*loc;
|
| 367 |
|
|
|
| 368 |
|
|
xyz[0]=glob.get_x();
|
| 369 |
|
|
xyz[1]=glob.get_y();
|
| 370 |
|
|
xyz[2]=glob.get_z();
|
| 371 |
|
|
|
| 372 |
|
|
param.ajouter(xyz[0]);
|
| 373 |
|
|
param.ajouter(xyz[1]);
|
| 374 |
|
|
param.ajouter(xyz[2]);
|
| 375 |
|
|
param.ajouter(0.5);
|
| 376 |
|
|
|
| 377 |
|
|
// The second control point have such local cordinate (rayon,rayon)
|
| 378 |
|
|
|
| 379 |
|
|
loc.change_y(rayon);
|
| 380 |
|
|
glob=origine+repere*loc;
|
| 381 |
|
|
|
| 382 |
|
|
xyz[0]=glob.get_x();
|
| 383 |
|
|
xyz[1]=glob.get_y();
|
| 384 |
|
|
xyz[2]=glob.get_z();
|
| 385 |
|
|
|
| 386 |
|
|
param.ajouter(xyz[0]);
|
| 387 |
|
|
param.ajouter(xyz[1]);
|
| 388 |
|
|
param.ajouter(xyz[2]);
|
| 389 |
|
|
param.ajouter(0.25);
|
| 390 |
|
|
|
| 391 |
|
|
//the third control point have such local cordinate (-rayon,rayon)
|
| 392 |
|
|
|
| 393 |
|
|
loc.change_x(-rayon);
|
| 394 |
|
|
glob=origine+repere*loc;
|
| 395 |
|
|
|
| 396 |
|
|
|
| 397 |
|
|
xyz[0]=glob.get_x();
|
| 398 |
|
|
xyz[1]=glob.get_y();
|
| 399 |
|
|
xyz[2]=glob.get_z();
|
| 400 |
|
|
|
| 401 |
|
|
param.ajouter(xyz[0]);
|
| 402 |
|
|
param.ajouter(xyz[1]);
|
| 403 |
|
|
param.ajouter(xyz[2]);
|
| 404 |
|
|
param.ajouter(0.25);
|
| 405 |
|
|
|
| 406 |
|
|
//The forth point have the local cordinate at(-rayon,rayon)
|
| 407 |
|
|
|
| 408 |
|
|
loc.change_y(0);
|
| 409 |
|
|
|
| 410 |
|
|
glob=origine+repere*loc;
|
| 411 |
|
|
|
| 412 |
|
|
param.ajouter(xyz[0]);
|
| 413 |
|
|
param.ajouter(xyz[1]);
|
| 414 |
|
|
param.ajouter(xyz[2]);
|
| 415 |
|
|
param.ajouter(0.5);
|
| 416 |
|
|
|
| 417 |
|
|
|
| 418 |
|
|
//the fifth control point have the corfinate in the local cordinate (-rayon,-rayon)
|
| 419 |
|
|
|
| 420 |
|
|
|
| 421 |
|
|
loc.change_y(-rayon);
|
| 422 |
|
|
|
| 423 |
|
|
glob=origine+repere*loc;
|
| 424 |
|
|
|
| 425 |
|
|
|
| 426 |
|
|
xyz[0]=glob.get_x();
|
| 427 |
|
|
xyz[1]=glob.get_y();
|
| 428 |
|
|
xyz[2]=glob.get_z();
|
| 429 |
|
|
|
| 430 |
|
|
param.ajouter(xyz[0]);
|
| 431 |
|
|
param.ajouter(xyz[1]);
|
| 432 |
|
|
param.ajouter(xyz[2]);
|
| 433 |
|
|
param.ajouter(0.25);
|
| 434 |
|
|
|
| 435 |
|
|
//The sixth control point have the cordiante in the local coordinate (rayon,-rayon)
|
| 436 |
|
|
|
| 437 |
|
|
loc.change_x(rayon);
|
| 438 |
|
|
|
| 439 |
|
|
glob=origine+repere*loc;
|
| 440 |
|
|
|
| 441 |
|
|
|
| 442 |
|
|
xyz[0]=glob.get_x();
|
| 443 |
|
|
xyz[1]=glob.get_y();
|
| 444 |
|
|
xyz[2]=glob.get_z();
|
| 445 |
|
|
|
| 446 |
|
|
param.ajouter(xyz[0]);
|
| 447 |
|
|
param.ajouter(xyz[1]);
|
| 448 |
|
|
param.ajouter(xyz[2]);
|
| 449 |
|
|
param.ajouter(0.25);
|
| 450 |
|
|
|
| 451 |
|
|
//The last control point have the same local cordinate with rhe first control point (rayon, 0)
|
| 452 |
|
|
|
| 453 |
|
|
loc.change_y(0);
|
| 454 |
|
|
|
| 455 |
|
|
glob=origine+repere*loc;
|
| 456 |
|
|
|
| 457 |
|
|
param.ajouter(xyz[0]);
|
| 458 |
|
|
param.ajouter(xyz[1]);
|
| 459 |
|
|
param.ajouter(xyz[2]);
|
| 460 |
|
|
param.ajouter(0.5);
|
| 461 |
|
|
} */
|
| 462 |
|
|
|
| 463 |
|
|
|
| 464 |
|
|
|
| 465 |
|
|
|
| 466 |
|
|
|
| 467 |
|
|
|
| 468 |
|
|
|
| 469 |
|
|
}
|
