3
* Mesa 3-D graphics library
5
* Copyright (C) 1995-2000 Brian Paul
7
* This library is free software; you can redistribute it and/or
8
* modify it under the terms of the GNU Library General Public
9
* License as published by the Free Software Foundation; either
10
* version 2 of the License, or (at your option) any later version.
12
* This library is distributed in the hope that it will be useful,
13
* but WITHOUT ANY WARRANTY; without even the implied warranty of
14
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15
* Library General Public License for more details.
17
* You should have received a copy of the GNU Library General Public
18
* License along with this library; if not, write to the Free
19
* Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
24
* NURBS implementation written by Bogdan Sikorski (bogdan@cira.it)
25
* See README2 for more info.
40
get_curve_dim(GLenum type)
43
case GL_MAP1_VERTEX_3:
45
case GL_MAP1_VERTEX_4:
53
case GL_MAP1_TEXTURE_COORD_1:
55
case GL_MAP1_TEXTURE_COORD_2:
57
case GL_MAP1_TEXTURE_COORD_3:
59
case GL_MAP1_TEXTURE_COORD_4:
62
abort(); /* TODO: is this OK? */
64
return 0; /*never get here */
68
test_nurbs_curve(GLUnurbsObj * nobj, curve_attribs * attribs)
73
if (attribs->order < 0) {
74
call_user_error(nobj, GLU_INVALID_VALUE);
77
glGetIntegerv(GL_MAX_EVAL_ORDER, &tmp_int);
78
if (attribs->order > tmp_int || attribs->order < 2) {
79
call_user_error(nobj, GLU_NURBS_ERROR1);
82
if (attribs->knot_count < attribs->order + 2) {
83
call_user_error(nobj, GLU_NURBS_ERROR2);
86
if (attribs->stride < 0) {
87
call_user_error(nobj, GLU_NURBS_ERROR34);
90
if (attribs->knot == NULL || attribs->ctrlarray == NULL) {
91
call_user_error(nobj, GLU_NURBS_ERROR36);
94
if ((err = test_knot(attribs->knot_count, attribs->knot, attribs->order))
96
call_user_error(nobj, err);
103
test_nurbs_curves(GLUnurbsObj * nobj)
105
/* test the geometric data */
106
if (test_nurbs_curve(nobj, &(nobj->curve.geom)) != GLU_NO_ERROR)
108
/* now test the attributive data */
110
if (nobj->curve.color.type != GLU_INVALID_ENUM)
111
if (test_nurbs_curve(nobj, &(nobj->curve.color)) != GLU_NO_ERROR)
114
if (nobj->curve.normal.type != GLU_INVALID_ENUM)
115
if (test_nurbs_curve(nobj, &(nobj->curve.normal)) != GLU_NO_ERROR)
118
if (nobj->curve.texture.type != GLU_INVALID_ENUM)
119
if (test_nurbs_curve(nobj, &(nobj->curve.texture)) != GLU_NO_ERROR)
124
/* prepare the knot information structures */
126
fill_knot_structures(GLUnurbsObj * nobj, knot_str_type * geom_knot,
127
knot_str_type * color_knot, knot_str_type * normal_knot,
128
knot_str_type * texture_knot)
135
geom_knot->unified_knot = NULL;
136
knot = geom_knot->knot = nobj->curve.geom.knot;
137
nknots = geom_knot->nknots = nobj->curve.geom.knot_count;
138
order = geom_knot->order = nobj->curve.geom.order;
139
geom_knot->delta_nknots = 0;
140
t_min = geom_knot->t_min = order - 1;
141
t_max = geom_knot->t_max = nknots - order;
142
if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
143
call_user_error(nobj, GLU_NURBS_ERROR3);
146
if (fabs(knot[0] - knot[t_min]) < EPSILON) {
147
/* knot open at beggining */
148
geom_knot->open_at_begin = GL_TRUE;
151
geom_knot->open_at_begin = GL_FALSE;
152
if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
153
/* knot open at end */
154
geom_knot->open_at_end = GL_TRUE;
157
geom_knot->open_at_end = GL_FALSE;
158
if (nobj->curve.color.type != GLU_INVALID_ENUM) {
159
color_knot->unified_knot = (GLfloat *) 1;
160
knot = color_knot->knot = nobj->curve.color.knot;
161
nknots = color_knot->nknots = nobj->curve.color.knot_count;
162
order = color_knot->order = nobj->curve.color.order;
163
color_knot->delta_nknots = 0;
164
t_min = color_knot->t_min = order - 1;
165
t_max = color_knot->t_max = nknots - order;
166
if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
167
call_user_error(nobj, GLU_NURBS_ERROR3);
170
if (fabs(knot[0] - knot[t_min]) < EPSILON) {
171
/* knot open at beggining */
172
color_knot->open_at_begin = GL_TRUE;
175
color_knot->open_at_begin = GL_FALSE;
176
if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
177
/* knot open at end */
178
color_knot->open_at_end = GL_TRUE;
181
color_knot->open_at_end = GL_FALSE;
184
color_knot->unified_knot = NULL;
185
if (nobj->curve.normal.type != GLU_INVALID_ENUM) {
186
normal_knot->unified_knot = (GLfloat *) 1;
187
knot = normal_knot->knot = nobj->curve.normal.knot;
188
nknots = normal_knot->nknots = nobj->curve.normal.knot_count;
189
order = normal_knot->order = nobj->curve.normal.order;
190
normal_knot->delta_nknots = 0;
191
t_min = normal_knot->t_min = order - 1;
192
t_max = normal_knot->t_max = nknots - order;
193
if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
194
call_user_error(nobj, GLU_NURBS_ERROR3);
197
if (fabs(knot[0] - knot[t_min]) < EPSILON) {
198
/* knot open at beggining */
199
normal_knot->open_at_begin = GL_TRUE;
202
normal_knot->open_at_begin = GL_FALSE;
203
if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
204
/* knot open at end */
205
normal_knot->open_at_end = GL_TRUE;
208
normal_knot->open_at_end = GL_FALSE;
211
normal_knot->unified_knot = NULL;
212
if (nobj->curve.texture.type != GLU_INVALID_ENUM) {
213
texture_knot->unified_knot = (GLfloat *) 1;
214
knot = texture_knot->knot = nobj->curve.texture.knot;
215
nknots = texture_knot->nknots = nobj->curve.texture.knot_count;
216
order = texture_knot->order = nobj->curve.texture.order;
217
texture_knot->delta_nknots = 0;
218
t_min = texture_knot->t_min = order - 1;
219
t_max = texture_knot->t_max = nknots - order;
220
if (fabs(knot[t_min] - knot[t_max]) < EPSILON) {
221
call_user_error(nobj, GLU_NURBS_ERROR3);
224
if (fabs(knot[0] - knot[t_min]) < EPSILON) {
225
/* knot open at beggining */
226
texture_knot->open_at_begin = GL_TRUE;
229
texture_knot->open_at_begin = GL_FALSE;
230
if (fabs(knot[t_max] - knot[nknots - 1]) < EPSILON) {
231
/* knot open at end */
232
texture_knot->open_at_end = GL_TRUE;
235
texture_knot->open_at_end = GL_FALSE;
238
texture_knot->unified_knot = NULL;
242
/* covert the NURBS curve into a series of adjacent Bezier curves */
244
convert_curve(knot_str_type * the_knot, curve_attribs * attrib,
245
GLfloat ** new_ctrl, GLint * ncontrol)
249
if ((err = explode_knot(the_knot)) != GLU_NO_ERROR) {
250
if (the_knot->unified_knot) {
251
free(the_knot->unified_knot);
252
the_knot->unified_knot = NULL;
256
if (the_knot->unified_knot) {
257
free(the_knot->unified_knot);
258
the_knot->unified_knot = NULL;
260
if ((err = calc_alphas(the_knot)) != GLU_NO_ERROR) {
261
free(the_knot->new_knot);
264
free(the_knot->new_knot);
265
if ((err = calc_new_ctrl_pts(attrib->ctrlarray, attrib->stride, the_knot,
266
attrib->dim, new_ctrl, ncontrol))
268
free(the_knot->alpha);
271
free(the_knot->alpha);
275
/* covert curves - geometry and possible attribute ones into equivalent */
276
/* sequence of adjacent Bezier curves */
278
convert_curves(GLUnurbsObj * nobj, GLfloat ** new_geom_ctrl,
279
GLint * ncontrol, GLfloat ** new_color_ctrl,
280
GLfloat ** new_normal_ctrl, GLfloat ** new_texture_ctrl)
282
knot_str_type geom_knot, color_knot, normal_knot, texture_knot;
286
*new_color_ctrl = *new_normal_ctrl = *new_texture_ctrl = NULL;
288
if (fill_knot_structures(nobj, &geom_knot, &color_knot, &normal_knot,
289
&texture_knot) != GLU_NO_ERROR)
292
/* unify knots - all knots should have the same number of working */
296
select_knot_working_range(nobj, &geom_knot, &color_knot, &normal_knot,
297
&texture_knot)) != GLU_NO_ERROR) {
300
/* convert the geometry curve */
301
nobj->curve.geom.dim = get_curve_dim(nobj->curve.geom.type);
302
if ((err = convert_curve(&geom_knot, &(nobj->curve.geom), new_geom_ctrl,
303
ncontrol)) != GLU_NO_ERROR) {
304
free_unified_knots(&geom_knot, &color_knot, &normal_knot,
306
call_user_error(nobj, err);
309
/* if additional attributive curves are given convert them as well */
310
if (color_knot.unified_knot) {
311
nobj->curve.color.dim = get_curve_dim(nobj->curve.color.type);
312
if ((err = convert_curve(&color_knot, &(nobj->curve.color),
313
new_color_ctrl, &junk)) != GLU_NO_ERROR) {
314
free_unified_knots(&geom_knot, &color_knot, &normal_knot,
316
free(*new_geom_ctrl);
317
call_user_error(nobj, err);
321
if (normal_knot.unified_knot) {
322
nobj->curve.normal.dim = get_curve_dim(nobj->curve.normal.type);
323
if ((err = convert_curve(&normal_knot, &(nobj->curve.normal),
324
new_normal_ctrl, &junk)) != GLU_NO_ERROR) {
325
free_unified_knots(&geom_knot, &color_knot, &normal_knot,
327
free(*new_geom_ctrl);
329
free(*new_color_ctrl);
330
call_user_error(nobj, err);
334
if (texture_knot.unified_knot) {
335
nobj->curve.texture.dim = get_curve_dim(nobj->curve.texture.type);
336
if ((err = convert_curve(&texture_knot, &(nobj->curve.texture),
337
new_texture_ctrl, &junk)) != GLU_NO_ERROR) {
338
free_unified_knots(&geom_knot, &color_knot, &normal_knot,
340
free(*new_geom_ctrl);
342
free(*new_color_ctrl);
343
if (*new_normal_ctrl)
344
free(*new_normal_ctrl);
345
call_user_error(nobj, err);
352
/* main NURBS curve procedure */
354
do_nurbs_curve(GLUnurbsObj * nobj)
356
GLint geom_order, color_order = 0, normal_order = 0, texture_order = 0;
359
GLfloat *new_geom_ctrl, *new_color_ctrl, *new_normal_ctrl,
361
GLfloat *geom_ctrl = 0, *color_ctrl = 0, *normal_ctrl = 0, *texture_ctrl = 0;
364
GLint geom_dim, color_dim = 0, normal_dim = 0, texture_dim = 0;
366
/* test the user supplied data */
367
if (test_nurbs_curves(nobj) != GLU_NO_ERROR)
370
if (convert_curves(nobj, &new_geom_ctrl, &n_ctrl, &new_color_ctrl,
371
&new_normal_ctrl, &new_texture_ctrl) != GLU_NO_ERROR)
374
geom_order = nobj->curve.geom.order;
375
geom_type = nobj->curve.geom.type;
376
geom_dim = nobj->curve.geom.dim;
378
if (glu_do_sampling_crv(nobj, new_geom_ctrl, n_ctrl, geom_order, geom_dim,
379
&factors) != GLU_NO_ERROR) {
382
free(new_color_ctrl);
384
free(new_normal_ctrl);
385
if (new_texture_ctrl)
386
free(new_texture_ctrl);
390
if (new_color_ctrl) {
391
glEnable(nobj->curve.color.type);
392
color_dim = nobj->curve.color.dim;
393
color_ctrl = new_color_ctrl;
394
color_order = nobj->curve.color.order;
396
if (new_normal_ctrl) {
397
glEnable(nobj->curve.normal.type);
398
normal_dim = nobj->curve.normal.dim;
399
normal_ctrl = new_normal_ctrl;
400
normal_order = nobj->curve.normal.order;
402
if (new_texture_ctrl) {
403
glEnable(nobj->curve.texture.type);
404
texture_dim = nobj->curve.texture.dim;
405
texture_ctrl = new_texture_ctrl;
406
texture_order = nobj->curve.texture.order;
408
for (i = 0, j = 0, geom_ctrl = new_geom_ctrl;
409
i < n_ctrl; i += geom_order, j++, geom_ctrl += geom_order * geom_dim) {
410
if (fine_culling_test_2D
411
(nobj, geom_ctrl, geom_order, geom_dim, geom_dim)) {
412
color_ctrl += color_order * color_dim;
413
normal_ctrl += normal_order * normal_dim;
414
texture_ctrl += texture_order * texture_dim;
417
glMap1f(geom_type, 0.0, 1.0, geom_dim, geom_order, geom_ctrl);
418
if (new_color_ctrl) {
419
glMap1f(nobj->curve.color.type, 0.0, 1.0, color_dim,
420
color_order, color_ctrl);
421
color_ctrl += color_order * color_dim;
423
if (new_normal_ctrl) {
424
glMap1f(nobj->curve.normal.type, 0.0, 1.0, normal_dim,
425
normal_order, normal_ctrl);
426
normal_ctrl += normal_order * normal_dim;
428
if (new_texture_ctrl) {
429
glMap1f(nobj->curve.texture.type, 0.0, 1.0, texture_dim,
430
texture_order, texture_ctrl);
431
texture_ctrl += texture_order * texture_dim;
433
glMapGrid1f(factors[j], 0.0, 1.0);
434
glEvalMesh1(GL_LINE, 0, factors[j]);
439
free(new_color_ctrl);
441
free(new_normal_ctrl);
442
if (new_texture_ctrl)
443
free(new_texture_ctrl);