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 |
|
|
// stcircle.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 "stcircle.h"
|
28 |
|
|
#include "st_gestionnaire.h"
|
29 |
|
|
#include "constantegeo.h"
|
30 |
|
|
|
31 |
|
|
#include <math.h>
|
32 |
|
|
|
33 |
|
|
|
34 |
|
|
|
35 |
|
|
|
36 |
|
|
|
37 |
|
|
ST_CIRCLE::ST_CIRCLE(long LigneCourante,std::string idori,long axis2,double ray):ST_COURBE(LigneCourante,idori),id_axis2_placement_3d(axis2),rayon(ray)
|
38 |
|
|
{
|
39 |
|
|
}
|
40 |
|
|
|
41 |
|
|
ST_CIRCLE::ST_CIRCLE(double *xyz,double *nor,double ray):ST_COURBE(),rayon(ray)
|
42 |
|
|
{
|
43 |
|
|
initialiser(xyz,nor);
|
44 |
|
|
}
|
45 |
|
|
|
46 |
|
|
|
47 |
|
|
long ST_CIRCLE::get_id_axis2_placement_3d(void)
|
48 |
|
|
{
|
49 |
|
|
return id_axis2_placement_3d;
|
50 |
|
|
}
|
51 |
|
|
|
52 |
|
|
double ST_CIRCLE::get_rayon(void)
|
53 |
|
|
{
|
54 |
|
|
return rayon;
|
55 |
|
|
}
|
56 |
|
|
|
57 |
|
|
void ST_CIRCLE::evaluer(double t,double *xyz)
|
58 |
|
|
{
|
59 |
|
|
OT_VECTEUR_3D local(rayon*cos(t),rayon*sin(t),0.);
|
60 |
|
|
OT_VECTEUR_3D global=origine+repere*local;
|
61 |
|
|
xyz[0]=global.get_x();
|
62 |
|
|
xyz[1]=global.get_y();
|
63 |
|
|
xyz[2]=global.get_z();
|
64 |
|
|
}
|
65 |
|
|
void ST_CIRCLE::deriver(double t,double *dxyz)
|
66 |
|
|
{
|
67 |
|
|
OT_VECTEUR_3D local(-rayon*sin(t),rayon*cos(t),0.);
|
68 |
|
|
OT_VECTEUR_3D global=repere*local;
|
69 |
|
|
dxyz[0]=global.get_x();
|
70 |
|
|
dxyz[1]=global.get_y();
|
71 |
|
|
dxyz[2]=global.get_z();
|
72 |
|
|
}
|
73 |
|
|
void ST_CIRCLE::deriver_seconde(double t,double *ddxyz,double* dxyz ,double* xyz )
|
74 |
|
|
{
|
75 |
|
|
OT_VECTEUR_3D local(-rayon*cos(t),-rayon*sin(t),0.);
|
76 |
|
|
OT_VECTEUR_3D global=repere*local;
|
77 |
|
|
ddxyz[0]=global.get_x();
|
78 |
|
|
ddxyz[1]=global.get_y();
|
79 |
|
|
ddxyz[2]=global.get_z();
|
80 |
|
|
if (dxyz!=NULL) deriver(t,dxyz);
|
81 |
|
|
if (xyz!=NULL) evaluer(t,xyz);
|
82 |
|
|
}
|
83 |
|
|
void ST_CIRCLE::inverser(double& t,double *xyz,double precision)
|
84 |
|
|
{
|
85 |
|
|
double sign;
|
86 |
|
|
double valeur;
|
87 |
|
|
OT_VECTEUR_3D global(xyz[0],xyz[1],xyz[2]);
|
88 |
|
|
OT_MATRICE_3D transpose_repere;
|
89 |
|
|
repere.transpose(transpose_repere);
|
90 |
|
|
OT_VECTEUR_3D vecteur=transpose_repere*(global-origine);
|
91 |
|
|
valeur=vecteur.get_x()/rayon;
|
92 |
|
|
if (valeur>1) valeur=1;
|
93 |
|
|
if (valeur<-1) valeur=-1;
|
94 |
|
|
t=acos(valeur);
|
95 |
|
|
sign=vecteur.get_y()/rayon;
|
96 |
|
|
if (sign<-0.000001) t= 2.*M_PI-t;
|
97 |
|
|
}
|
98 |
|
|
|
99 |
|
|
double ST_CIRCLE::get_tmin()
|
100 |
|
|
{
|
101 |
|
|
return 0.;
|
102 |
|
|
}
|
103 |
|
|
double ST_CIRCLE::get_tmax()
|
104 |
|
|
{
|
105 |
|
|
return 2.*M_PI;
|
106 |
|
|
}
|
107 |
|
|
double ST_CIRCLE::get_longueur(double t1,double t2,double precis)
|
108 |
|
|
{
|
109 |
|
|
return rayon*(t2-t1);
|
110 |
|
|
}
|
111 |
|
|
int ST_CIRCLE::est_periodique(void)
|
112 |
|
|
{
|
113 |
|
|
return 1;
|
114 |
|
|
}
|
115 |
|
|
|
116 |
|
|
double ST_CIRCLE::get_periode(void)
|
117 |
|
|
{
|
118 |
|
|
return 2.*M_PI;
|
119 |
|
|
}
|
120 |
|
|
|
121 |
|
|
|
122 |
|
|
void ST_CIRCLE::initialiser(ST_GESTIONNAIRE *gest)
|
123 |
|
|
{
|
124 |
|
|
ST_AXIS2_PLACEMENT_3D* axe=gest->lst_axis2_placement_3d.getid(id_axis2_placement_3d);
|
125 |
|
|
ST_DIRECTION* dirz=gest->lst_direction.getid(axe->get_id_direction1());
|
126 |
|
|
ST_DIRECTION* dirx=gest->lst_direction.getid(axe->get_id_direction2());
|
127 |
|
|
ST_POINT* point=gest->lst_point.getid(axe->get_id_point());
|
128 |
|
|
double xyz[3];
|
129 |
|
|
point->evaluer(xyz);
|
130 |
|
|
double *dirzval=dirz->get_direction();
|
131 |
|
|
double *dirxval=NULL;
|
132 |
|
|
if (dirx!=NULL) dirxval=dirx->get_direction();
|
133 |
|
|
initialiser(xyz,dirzval,dirxval);
|
134 |
|
|
}
|
135 |
|
|
|
136 |
|
|
void ST_CIRCLE::initialiser(double *xyz,double *dirz,double *dirx)
|
137 |
|
|
{
|
138 |
|
|
origine.change_x(xyz[0]);
|
139 |
|
|
origine.change_y(xyz[1]);
|
140 |
|
|
origine.change_z(xyz[2]);
|
141 |
|
|
OT_VECTEUR_3D z(dirz[0],dirz[1],dirz[2]);
|
142 |
|
|
z.norme();
|
143 |
|
|
double vectmp[3];
|
144 |
|
|
if (dirx==NULL)
|
145 |
|
|
{
|
146 |
|
|
vectmp[0]=1.;
|
147 |
|
|
if (!(OPERATEUR::egal(z.get_z(),0.,0.0000001)))
|
148 |
|
|
{
|
149 |
|
|
vectmp[1]=0;
|
150 |
|
|
vectmp[2]=-vectmp[0]*z.get_x()/z.get_z();
|
151 |
|
|
}
|
152 |
|
|
else if (!(OPERATEUR::egal(z.get_y(),0.,0.0000001)))
|
153 |
|
|
{
|
154 |
|
|
vectmp[2]=0;
|
155 |
|
|
vectmp[1]=-vectmp[0]*z.get_x()/z.get_y();
|
156 |
|
|
}
|
157 |
|
|
else
|
158 |
|
|
{
|
159 |
|
|
vectmp[0]=0.;vectmp[1]=1.;vectmp[2]=0.;
|
160 |
|
|
}
|
161 |
|
|
|
162 |
|
|
dirx=vectmp;
|
163 |
|
|
}
|
164 |
|
|
OT_VECTEUR_3D x(dirx[0],dirx[1],dirx[2]);
|
165 |
|
|
x.norme();
|
166 |
|
|
OT_VECTEUR_3D y=z&x;
|
167 |
|
|
repere.change_vecteur1(x);
|
168 |
|
|
repere.change_vecteur2(y);
|
169 |
|
|
repere.change_vecteur3(z);
|
170 |
|
|
}
|
171 |
|
|
|
172 |
|
|
int ST_CIRCLE::get_type_geometrique(TPL_LISTE_ENTITE<double> ¶m)
|
173 |
|
|
{
|
174 |
|
|
param.ajouter(origine.get_x());
|
175 |
|
|
param.ajouter(origine.get_y());
|
176 |
|
|
param.ajouter(origine.get_z());
|
177 |
|
|
param.ajouter(repere.get_vecteur1().get_x());
|
178 |
|
|
param.ajouter(repere.get_vecteur1().get_y());
|
179 |
|
|
param.ajouter(repere.get_vecteur1().get_z());
|
180 |
|
|
param.ajouter(repere.get_vecteur3().get_x());
|
181 |
|
|
param.ajouter(repere.get_vecteur3().get_y());
|
182 |
|
|
param.ajouter(repere.get_vecteur3().get_z());
|
183 |
|
|
param.ajouter(rayon);
|
184 |
|
|
return MGCo_CIRCLE;
|
185 |
|
|
}
|
186 |
|
|
|
187 |
|
|
|
188 |
|
|
|
189 |
francois |
19 |
void ST_CIRCLE::get_param_NURBS(int& indx_premier_ptctr,TPL_LISTE_ENTITE<double> ¶m)
|
190 |
|
5 |
{
|
191 |
|
|
double xyz[3];
|
192 |
|
|
// The first parameter indicate the code access
|
193 |
|
|
param.ajouter(1);
|
194 |
|
|
|
195 |
|
|
// The follewing two parameters of the list indicate the orders of the net points
|
196 |
|
|
|
197 |
|
|
param.ajouter(4);
|
198 |
|
|
param.ajouter(0);
|
199 |
|
|
|
200 |
|
|
// The follewing two parameters indicate the number of rows and colons of the control points
|
201 |
|
|
// respectively to the two parameters directions
|
202 |
|
|
|
203 |
|
|
param.ajouter(7);
|
204 |
|
|
param.ajouter(0);
|
205 |
|
|
|
206 |
|
|
// this present the knot vector in the u-direction
|
207 |
|
|
|
208 |
|
|
param.ajouter(0);
|
209 |
|
|
param.ajouter(0);
|
210 |
|
|
param.ajouter(0);
|
211 |
|
|
param.ajouter(0.25);
|
212 |
|
|
param.ajouter(0.5);
|
213 |
|
|
param.ajouter(0.5);
|
214 |
|
|
param.ajouter(0.75);
|
215 |
|
|
param.ajouter(1);
|
216 |
|
|
param.ajouter(1);
|
217 |
|
|
param.ajouter(1);
|
218 |
|
|
|
219 |
|
|
//the first control point
|
220 |
|
|
|
221 |
|
|
OT_VECTEUR_3D loc(rayon,0,0);
|
222 |
|
|
OT_VECTEUR_3D glob=origine+repere*loc;
|
223 |
|
|
|
224 |
|
|
xyz[0]=glob.get_x();
|
225 |
|
|
xyz[1]=glob.get_y();
|
226 |
|
|
xyz[2]=glob.get_z();
|
227 |
|
|
|
228 |
|
|
param.ajouter(xyz[0]);
|
229 |
|
|
param.ajouter(xyz[1]);
|
230 |
|
|
param.ajouter(xyz[2]);
|
231 |
|
|
param.ajouter(1);
|
232 |
|
|
|
233 |
|
|
// the second control point have such local cordinate (rayon,rayon)
|
234 |
|
|
|
235 |
|
|
loc.change_y(rayon);
|
236 |
|
|
glob=origine+repere*loc;
|
237 |
|
|
|
238 |
|
|
xyz[0]=glob.get_x();
|
239 |
|
|
xyz[1]=glob.get_y();
|
240 |
|
|
xyz[2]=glob.get_z();
|
241 |
|
|
|
242 |
|
|
param.ajouter(xyz[0]);
|
243 |
|
|
param.ajouter(xyz[1]);
|
244 |
|
|
param.ajouter(xyz[2]);
|
245 |
|
|
param.ajouter(0.5);
|
246 |
|
|
|
247 |
|
|
//the third control point have such local cordinate (-rayon,rayon)
|
248 |
|
|
|
249 |
|
|
loc.change_x(-rayon);
|
250 |
|
|
glob=origine+repere*loc;
|
251 |
|
|
|
252 |
|
|
|
253 |
|
|
xyz[0]=glob.get_x();
|
254 |
|
|
xyz[1]=glob.get_y();
|
255 |
|
|
xyz[2]=glob.get_z();
|
256 |
|
|
|
257 |
|
|
param.ajouter(xyz[0]);
|
258 |
|
|
param.ajouter(xyz[1]);
|
259 |
|
|
param.ajouter(xyz[2]);
|
260 |
|
|
param.ajouter(0.5);
|
261 |
|
|
|
262 |
|
|
//The forth point have the local cordinate at(-rayon,rayon)
|
263 |
|
|
|
264 |
|
|
loc.change_y(0);
|
265 |
|
|
|
266 |
|
|
glob=origine+repere*loc;
|
267 |
|
|
|
268 |
souaissa |
57 |
xyz[0]=glob.get_x();
|
269 |
|
|
xyz[1]=glob.get_y();
|
270 |
|
|
xyz[2]=glob.get_z();
|
271 |
|
|
|
272 |
|
5 |
param.ajouter(xyz[0]);
|
273 |
|
|
param.ajouter(xyz[1]);
|
274 |
|
|
param.ajouter(xyz[2]);
|
275 |
|
|
param.ajouter(1);
|
276 |
|
|
|
277 |
|
|
|
278 |
|
|
//the fifth control point have the corfinate in the local cordinate (-rayon,-rayon)
|
279 |
|
|
|
280 |
|
|
|
281 |
|
|
loc.change_y(-rayon);
|
282 |
|
|
|
283 |
|
|
glob=origine+repere*loc;
|
284 |
|
|
|
285 |
|
|
|
286 |
|
|
xyz[0]=glob.get_x();
|
287 |
|
|
xyz[1]=glob.get_y();
|
288 |
|
|
xyz[2]=glob.get_z();
|
289 |
|
|
|
290 |
|
|
param.ajouter(xyz[0]);
|
291 |
|
|
param.ajouter(xyz[1]);
|
292 |
|
|
param.ajouter(xyz[2]);
|
293 |
|
|
param.ajouter(0.5);
|
294 |
|
|
|
295 |
|
|
//The sixth control point have the cordiante in the local coordinate (rayon,-rayon)
|
296 |
|
|
|
297 |
|
|
loc.change_x(rayon);
|
298 |
|
|
|
299 |
|
|
glob=origine+repere*loc;
|
300 |
|
|
|
301 |
|
|
|
302 |
|
|
xyz[0]=glob.get_x();
|
303 |
|
|
xyz[1]=glob.get_y();
|
304 |
|
|
xyz[2]=glob.get_z();
|
305 |
|
|
|
306 |
|
|
param.ajouter(xyz[0]);
|
307 |
|
|
param.ajouter(xyz[1]);
|
308 |
|
|
param.ajouter(xyz[2]);
|
309 |
|
|
param.ajouter(0.5);
|
310 |
|
|
|
311 |
|
|
//The last control point have the same local cordinate with rhe first control point (rayon, 0)
|
312 |
|
|
|
313 |
|
|
loc.change_y(0);
|
314 |
|
|
|
315 |
|
|
glob=origine+repere*loc;
|
316 |
|
|
|
317 |
souaissa |
57 |
xyz[0]=glob.get_x();
|
318 |
|
|
xyz[1]=glob.get_y();
|
319 |
|
|
xyz[2]=glob.get_z();
|
320 |
|
|
|
321 |
|
5 |
param.ajouter(xyz[0]);
|
322 |
|
|
param.ajouter(xyz[1]);
|
323 |
|
|
param.ajouter(xyz[2]);
|
324 |
|
|
param.ajouter(1);
|
325 |
|
|
|
326 |
francois |
19 |
indx_premier_ptctr=15;
|
327 |
|
|
|
328 |
|
5 |
}
|
329 |
|
|
|
330 |
|
|
|
331 |
|
|
|
332 |
|
|
void ST_CIRCLE::est_util(ST_GESTIONNAIRE* gest)
|
333 |
|
|
{
|
334 |
|
|
util=true;
|
335 |
|
|
ST_AXIS2_PLACEMENT_3D *axe=gest->lst_axis2_placement_3d.getid(id_axis2_placement_3d);
|
336 |
|
|
axe->est_util(gest);
|
337 |
|
|
}
|
338 |
|
|
|