source: trunk/src/opengl/mesa/matrix.c@ 3721

Last change on this file since 3721 was 3598, checked in by jeroen, 25 years ago

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1/* $Id: matrix.c,v 1.3 2000-05-23 20:40:40 jeroen Exp $ */
2
3/*
4 * Mesa 3-D graphics library
5 * Version: 3.3
6 *
7 * Copyright (C) 1999 Brian Paul All Rights Reserved.
8 *
9 * Permission is hereby granted, free of charge, to any person obtaining a
10 * copy of this software and associated documentation files (the "Software"),
11 * to deal in the Software without restriction, including without limitation
12 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
13 * and/or sell copies of the Software, and to permit persons to whom the
14 * Software is furnished to do so, subject to the following conditions:
15 *
16 * The above copyright notice and this permission notice shall be included
17 * in all copies or substantial portions of the Software.
18 *
19 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
20 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
21 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
22 * BRIAN PAUL BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
23 * AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
24 * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
25 */
26
27
28
29
30
31/*
32 * Matrix operations
33 *
34 *
35 * NOTES:
36 * 1. 4x4 transformation matrices are stored in memory in column major order.
37 * 2. Points/vertices are to be thought of as column vectors.
38 * 3. Transformation of a point p by a matrix M is: p' = M * p
39 *
40 */
41
42
43#ifdef PC_HEADER
44#include "all.h"
45#else
46#include "glheader.h"
47#include "types.h"
48#include "context.h"
49#include "enums.h"
50#include "macros.h"
51#include "matrix.h"
52#include "mmath.h"
53#include "buffers.h"
54#include "mem.h"
55#endif
56
57static const char *types[] = {
58 "MATRIX_GENERAL",
59 "MATRIX_IDENTITY",
60 "MATRIX_3D_NO_ROT",
61 "MATRIX_PERSPECTIVE",
62 "MATRIX_2D",
63 "MATRIX_2D_NO_ROT",
64 "MATRIX_3D"
65};
66static void matmul4( GLfloat *product, const GLfloat *a, const GLfloat *b );
67
68
69static GLfloat Identity[16] = {
70 1.0, 0.0, 0.0, 0.0,
71 0.0, 1.0, 0.0, 0.0,
72 0.0, 0.0, 1.0, 0.0,
73 0.0, 0.0, 0.0, 1.0
74};
75
76
77static void print_matrix_floats( const GLfloat m[16] )
78{
79 int i;
80 for (i=0;i<4;i++) {
81 fprintf(stderr,"\t%f %f %f %f\n", m[i], m[4+i], m[8+i], m[12+i] );
82 }
83}
84
85void gl_print_matrix( const GLmatrix *m )
86{
87 fprintf(stderr, "Matrix type: %s, flags: %x\n", types[m->type], m->flags);
88 print_matrix_floats(m->m);
89#if 1
90 fprintf(stderr, "Inverse: \n");
91 if (m->inv) {
92 GLfloat prod[16];
93 print_matrix_floats(m->inv);
94 matmul4(prod, m->m, m->inv);
95 fprintf(stderr, "Mat * Inverse:\n");
96 print_matrix_floats(prod);
97 } else
98 fprintf(stderr, " - not available\n");
99#endif
100}
101
102
103
104/*
105 * This matmul was contributed by Thomas Malik
106 *
107 * Perform a 4x4 matrix multiplication (product = a x b).
108 * Input: a, b - matrices to multiply
109 * Output: product - product of a and b
110 * WARNING: (product != b) assumed
111 * NOTE: (product == a) allowed
112 *
113 * KW: 4*16 = 64 muls
114 */
115#define A(row,col) a[(col<<2)+row]
116#define B(row,col) b[(col<<2)+row]
117#define P(row,col) product[(col<<2)+row]
118
119static void matmul4( GLfloat *product, const GLfloat *a, const GLfloat *b )
120{
121 GLint i;
122 for (i = 0; i < 4; i++) {
123 GLfloat ai0=A(i,0), ai1=A(i,1), ai2=A(i,2), ai3=A(i,3);
124 P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0) + ai3 * B(3,0);
125 P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1) + ai3 * B(3,1);
126 P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2) + ai3 * B(3,2);
127 P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3 * B(3,3);
128 }
129}
130
131
132
133
134/* Multiply two matrices known to occupy only the top three rows,
135 * such as typical modelling matrices, and ortho matrices.
136 *
137 * KW: 3*9 = 27 muls
138 */
139static void matmul34( GLfloat *product, const GLfloat *a, const GLfloat *b )
140{
141 GLint i;
142 for (i = 0; i < 3; i++) {
143 GLfloat ai0=A(i,0), ai1=A(i,1), ai2=A(i,2), ai3=A(i,3);
144 P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0);
145 P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1);
146 P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2);
147 P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3;
148 }
149 P(3,0) = 0;
150 P(3,1) = 0;
151 P(3,2) = 0;
152 P(3,3) = 1;
153}
154
155static void matmul4fd( GLfloat *product, const GLfloat *a, const GLdouble *b )
156{
157 GLint i;
158 for (i = 0; i < 4; i++) {
159 GLfloat ai0=A(i,0), ai1=A(i,1), ai2=A(i,2), ai3=A(i,3);
160 P(i,0) = ai0 * B(0,0) + ai1 * B(1,0) + ai2 * B(2,0) + ai3 * B(3,0);
161 P(i,1) = ai0 * B(0,1) + ai1 * B(1,1) + ai2 * B(2,1) + ai3 * B(3,1);
162 P(i,2) = ai0 * B(0,2) + ai1 * B(1,2) + ai2 * B(2,2) + ai3 * B(3,2);
163 P(i,3) = ai0 * B(0,3) + ai1 * B(1,3) + ai2 * B(2,3) + ai3 * B(3,3);
164 }
165}
166
167#undef A
168#undef B
169#undef P
170
171
172
173#define SWAP_ROWS(a, b) { GLfloat *_tmp = a; (a)=(b); (b)=_tmp; }
174#define MAT(m,r,c) (m)[(c)*4+(r)]
175
176/*
177 * Compute inverse of 4x4 transformation matrix.
178 * Code contributed by Jacques Leroy jle@star.be
179 * Return GL_TRUE for success, GL_FALSE for failure (singular matrix)
180 */
181static GLboolean invert_matrix_general( GLmatrix *mat )
182{
183 const GLfloat *m = mat->m;
184 GLfloat *out = mat->inv;
185 GLfloat wtmp[4][8];
186 GLfloat m0, m1, m2, m3, s;
187 GLfloat *r0, *r1, *r2, *r3;
188
189 r0 = wtmp[0], r1 = wtmp[1], r2 = wtmp[2], r3 = wtmp[3];
190
191 r0[0] = MAT(m,0,0), r0[1] = MAT(m,0,1),
192 r0[2] = MAT(m,0,2), r0[3] = MAT(m,0,3),
193 r0[4] = 1.0, r0[5] = r0[6] = r0[7] = 0.0,
194
195 r1[0] = MAT(m,1,0), r1[1] = MAT(m,1,1),
196 r1[2] = MAT(m,1,2), r1[3] = MAT(m,1,3),
197 r1[5] = 1.0, r1[4] = r1[6] = r1[7] = 0.0,
198
199 r2[0] = MAT(m,2,0), r2[1] = MAT(m,2,1),
200 r2[2] = MAT(m,2,2), r2[3] = MAT(m,2,3),
201 r2[6] = 1.0, r2[4] = r2[5] = r2[7] = 0.0,
202
203 r3[0] = MAT(m,3,0), r3[1] = MAT(m,3,1),
204 r3[2] = MAT(m,3,2), r3[3] = MAT(m,3,3),
205 r3[7] = 1.0, r3[4] = r3[5] = r3[6] = 0.0;
206
207 /* choose pivot - or die */
208 if (fabs(r3[0])>fabs(r2[0])) SWAP_ROWS(r3, r2);
209 if (fabs(r2[0])>fabs(r1[0])) SWAP_ROWS(r2, r1);
210 if (fabs(r1[0])>fabs(r0[0])) SWAP_ROWS(r1, r0);
211 if (0.0 == r0[0]) return GL_FALSE;
212
213 /* eliminate first variable */
214 m1 = r1[0]/r0[0]; m2 = r2[0]/r0[0]; m3 = r3[0]/r0[0];
215 s = r0[1]; r1[1] -= m1 * s; r2[1] -= m2 * s; r3[1] -= m3 * s;
216 s = r0[2]; r1[2] -= m1 * s; r2[2] -= m2 * s; r3[2] -= m3 * s;
217 s = r0[3]; r1[3] -= m1 * s; r2[3] -= m2 * s; r3[3] -= m3 * s;
218 s = r0[4];
219 if (s != 0.0) { r1[4] -= m1 * s; r2[4] -= m2 * s; r3[4] -= m3 * s; }
220 s = r0[5];
221 if (s != 0.0) { r1[5] -= m1 * s; r2[5] -= m2 * s; r3[5] -= m3 * s; }
222 s = r0[6];
223 if (s != 0.0) { r1[6] -= m1 * s; r2[6] -= m2 * s; r3[6] -= m3 * s; }
224 s = r0[7];
225 if (s != 0.0) { r1[7] -= m1 * s; r2[7] -= m2 * s; r3[7] -= m3 * s; }
226
227 /* choose pivot - or die */
228 if (fabs(r3[1])>fabs(r2[1])) SWAP_ROWS(r3, r2);
229 if (fabs(r2[1])>fabs(r1[1])) SWAP_ROWS(r2, r1);
230 if (0.0 == r1[1]) return GL_FALSE;
231
232 /* eliminate second variable */
233 m2 = r2[1]/r1[1]; m3 = r3[1]/r1[1];
234 r2[2] -= m2 * r1[2]; r3[2] -= m3 * r1[2];
235 r2[3] -= m2 * r1[3]; r3[3] -= m3 * r1[3];
236 s = r1[4]; if (0.0 != s) { r2[4] -= m2 * s; r3[4] -= m3 * s; }
237 s = r1[5]; if (0.0 != s) { r2[5] -= m2 * s; r3[5] -= m3 * s; }
238 s = r1[6]; if (0.0 != s) { r2[6] -= m2 * s; r3[6] -= m3 * s; }
239 s = r1[7]; if (0.0 != s) { r2[7] -= m2 * s; r3[7] -= m3 * s; }
240
241 /* choose pivot - or die */
242 if (fabs(r3[2])>fabs(r2[2])) SWAP_ROWS(r3, r2);
243 if (0.0 == r2[2]) return GL_FALSE;
244
245 /* eliminate third variable */
246 m3 = r3[2]/r2[2];
247 r3[3] -= m3 * r2[3], r3[4] -= m3 * r2[4],
248 r3[5] -= m3 * r2[5], r3[6] -= m3 * r2[6],
249 r3[7] -= m3 * r2[7];
250
251 /* last check */
252 if (0.0 == r3[3]) return GL_FALSE;
253
254 s = 1.0/r3[3]; /* now back substitute row 3 */
255 r3[4] *= s; r3[5] *= s; r3[6] *= s; r3[7] *= s;
256
257 m2 = r2[3]; /* now back substitute row 2 */
258 s = 1.0/r2[2];
259 r2[4] = s * (r2[4] - r3[4] * m2), r2[5] = s * (r2[5] - r3[5] * m2),
260 r2[6] = s * (r2[6] - r3[6] * m2), r2[7] = s * (r2[7] - r3[7] * m2);
261 m1 = r1[3];
262 r1[4] -= r3[4] * m1, r1[5] -= r3[5] * m1,
263 r1[6] -= r3[6] * m1, r1[7] -= r3[7] * m1;
264 m0 = r0[3];
265 r0[4] -= r3[4] * m0, r0[5] -= r3[5] * m0,
266 r0[6] -= r3[6] * m0, r0[7] -= r3[7] * m0;
267
268 m1 = r1[2]; /* now back substitute row 1 */
269 s = 1.0/r1[1];
270 r1[4] = s * (r1[4] - r2[4] * m1), r1[5] = s * (r1[5] - r2[5] * m1),
271 r1[6] = s * (r1[6] - r2[6] * m1), r1[7] = s * (r1[7] - r2[7] * m1);
272 m0 = r0[2];
273 r0[4] -= r2[4] * m0, r0[5] -= r2[5] * m0,
274 r0[6] -= r2[6] * m0, r0[7] -= r2[7] * m0;
275
276 m0 = r0[1]; /* now back substitute row 0 */
277 s = 1.0/r0[0];
278 r0[4] = s * (r0[4] - r1[4] * m0), r0[5] = s * (r0[5] - r1[5] * m0),
279 r0[6] = s * (r0[6] - r1[6] * m0), r0[7] = s * (r0[7] - r1[7] * m0);
280
281 MAT(out,0,0) = r0[4]; MAT(out,0,1) = r0[5],
282 MAT(out,0,2) = r0[6]; MAT(out,0,3) = r0[7],
283 MAT(out,1,0) = r1[4]; MAT(out,1,1) = r1[5],
284 MAT(out,1,2) = r1[6]; MAT(out,1,3) = r1[7],
285 MAT(out,2,0) = r2[4]; MAT(out,2,1) = r2[5],
286 MAT(out,2,2) = r2[6]; MAT(out,2,3) = r2[7],
287 MAT(out,3,0) = r3[4]; MAT(out,3,1) = r3[5],
288 MAT(out,3,2) = r3[6]; MAT(out,3,3) = r3[7];
289
290 return GL_TRUE;
291}
292#undef SWAP_ROWS
293
294/* Adapted from graphics gems II.
295 */
296static GLboolean invert_matrix_3d_general( GLmatrix *mat )
297{
298 const GLfloat *in = mat->m;
299 GLfloat *out = mat->inv;
300 GLfloat pos, neg, t;
301 GLfloat det;
302
303 /* Calculate the determinant of upper left 3x3 submatrix and
304 * determine if the matrix is singular.
305 */
306 pos = neg = 0.0;
307 t = MAT(in,0,0) * MAT(in,1,1) * MAT(in,2,2);
308 if (t >= 0.0) pos += t; else neg += t;
309
310 t = MAT(in,1,0) * MAT(in,2,1) * MAT(in,0,2);
311 if (t >= 0.0) pos += t; else neg += t;
312
313 t = MAT(in,2,0) * MAT(in,0,1) * MAT(in,1,2);
314 if (t >= 0.0) pos += t; else neg += t;
315
316 t = -MAT(in,2,0) * MAT(in,1,1) * MAT(in,0,2);
317 if (t >= 0.0) pos += t; else neg += t;
318
319 t = -MAT(in,1,0) * MAT(in,0,1) * MAT(in,2,2);
320 if (t >= 0.0) pos += t; else neg += t;
321
322 t = -MAT(in,0,0) * MAT(in,2,1) * MAT(in,1,2);
323 if (t >= 0.0) pos += t; else neg += t;
324
325 det = pos + neg;
326
327 if (det*det < 1e-25)
328 return GL_FALSE;
329
330 det = 1.0 / det;
331 MAT(out,0,0) = ( (MAT(in,1,1)*MAT(in,2,2) - MAT(in,2,1)*MAT(in,1,2) )*det);
332 MAT(out,0,1) = (- (MAT(in,0,1)*MAT(in,2,2) - MAT(in,2,1)*MAT(in,0,2) )*det);
333 MAT(out,0,2) = ( (MAT(in,0,1)*MAT(in,1,2) - MAT(in,1,1)*MAT(in,0,2) )*det);
334 MAT(out,1,0) = (- (MAT(in,1,0)*MAT(in,2,2) - MAT(in,2,0)*MAT(in,1,2) )*det);
335 MAT(out,1,1) = ( (MAT(in,0,0)*MAT(in,2,2) - MAT(in,2,0)*MAT(in,0,2) )*det);
336 MAT(out,1,2) = (- (MAT(in,0,0)*MAT(in,1,2) - MAT(in,1,0)*MAT(in,0,2) )*det);
337 MAT(out,2,0) = ( (MAT(in,1,0)*MAT(in,2,1) - MAT(in,2,0)*MAT(in,1,1) )*det);
338 MAT(out,2,1) = (- (MAT(in,0,0)*MAT(in,2,1) - MAT(in,2,0)*MAT(in,0,1) )*det);
339 MAT(out,2,2) = ( (MAT(in,0,0)*MAT(in,1,1) - MAT(in,1,0)*MAT(in,0,1) )*det);
340
341 /* Do the translation part */
342 MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0) +
343 MAT(in,1,3) * MAT(out,0,1) +
344 MAT(in,2,3) * MAT(out,0,2) );
345 MAT(out,1,3) = - (MAT(in,0,3) * MAT(out,1,0) +
346 MAT(in,1,3) * MAT(out,1,1) +
347 MAT(in,2,3) * MAT(out,1,2) );
348 MAT(out,2,3) = - (MAT(in,0,3) * MAT(out,2,0) +
349 MAT(in,1,3) * MAT(out,2,1) +
350 MAT(in,2,3) * MAT(out,2,2) );
351
352 return GL_TRUE;
353}
354
355
356static GLboolean invert_matrix_3d( GLmatrix *mat )
357{
358 const GLfloat *in = mat->m;
359 GLfloat *out = mat->inv;
360
361 if (!TEST_MAT_FLAGS(mat, MAT_FLAGS_ANGLE_PRESERVING))
362 {
363 return invert_matrix_3d_general( mat );
364 }
365
366 if (mat->flags & MAT_FLAG_UNIFORM_SCALE)
367 {
368 GLfloat scale = (MAT(in,0,0) * MAT(in,0,0) +
369 MAT(in,0,1) * MAT(in,0,1) +
370 MAT(in,0,2) * MAT(in,0,2));
371
372 if (scale == 0.0)
373 return GL_FALSE;
374
375 scale = 1.0 / scale;
376
377 /* Transpose and scale the 3 by 3 upper-left submatrix. */
378 MAT(out,0,0) = scale * MAT(in,0,0);
379 MAT(out,1,0) = scale * MAT(in,0,1);
380 MAT(out,2,0) = scale * MAT(in,0,2);
381 MAT(out,0,1) = scale * MAT(in,1,0);
382 MAT(out,1,1) = scale * MAT(in,1,1);
383 MAT(out,2,1) = scale * MAT(in,1,2);
384 MAT(out,0,2) = scale * MAT(in,2,0);
385 MAT(out,1,2) = scale * MAT(in,2,1);
386 MAT(out,2,2) = scale * MAT(in,2,2);
387 }
388 else if (mat->flags & MAT_FLAG_ROTATION)
389 {
390 /* Transpose the 3 by 3 upper-left submatrix. */
391 MAT(out,0,0) = MAT(in,0,0);
392 MAT(out,1,0) = MAT(in,0,1);
393 MAT(out,2,0) = MAT(in,0,2);
394 MAT(out,0,1) = MAT(in,1,0);
395 MAT(out,1,1) = MAT(in,1,1);
396 MAT(out,2,1) = MAT(in,1,2);
397 MAT(out,0,2) = MAT(in,2,0);
398 MAT(out,1,2) = MAT(in,2,1);
399 MAT(out,2,2) = MAT(in,2,2);
400 }
401 else /* pure translation */
402 {
403 MEMCPY( out, Identity, sizeof(Identity) );
404 MAT(out,0,3) = - MAT(in,0,3);
405 MAT(out,1,3) = - MAT(in,1,3);
406 MAT(out,2,3) = - MAT(in,2,3);
407 return GL_TRUE;
408 }
409
410 if (mat->flags & MAT_FLAG_TRANSLATION)
411 {
412 /* Do the translation part */
413 MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0) +
414 MAT(in,1,3) * MAT(out,0,1) +
415 MAT(in,2,3) * MAT(out,0,2) );
416 MAT(out,1,3) = - (MAT(in,0,3) * MAT(out,1,0) +
417 MAT(in,1,3) * MAT(out,1,1) +
418 MAT(in,2,3) * MAT(out,1,2) );
419 MAT(out,2,3) = - (MAT(in,0,3) * MAT(out,2,0) +
420 MAT(in,1,3) * MAT(out,2,1) +
421 MAT(in,2,3) * MAT(out,2,2) );
422 }
423 else
424 {
425 MAT(out,0,3) = MAT(out,1,3) = MAT(out,2,3) = 0.0;
426 }
427
428 return GL_TRUE;
429}
430
431
432
433static GLboolean invert_matrix_identity( GLmatrix *mat )
434{
435 MEMCPY( mat->inv, Identity, sizeof(Identity) );
436 return GL_TRUE;
437}
438
439
440static GLboolean invert_matrix_3d_no_rot( GLmatrix *mat )
441{
442 const GLfloat *in = mat->m;
443 GLfloat *out = mat->inv;
444
445 if (MAT(in,0,0) == 0 || MAT(in,1,1) == 0 || MAT(in,2,2) == 0 )
446 return GL_FALSE;
447
448 MEMCPY( out, Identity, 16 * sizeof(GLfloat) );
449 MAT(out,0,0) = 1.0 / MAT(in,0,0);
450 MAT(out,1,1) = 1.0 / MAT(in,1,1);
451 MAT(out,2,2) = 1.0 / MAT(in,2,2);
452
453 if (mat->flags & MAT_FLAG_TRANSLATION)
454 {
455 MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0));
456 MAT(out,1,3) = - (MAT(in,1,3) * MAT(out,1,1));
457 MAT(out,2,3) = - (MAT(in,2,3) * MAT(out,2,2));
458 }
459
460 return GL_TRUE;
461}
462
463
464static GLboolean invert_matrix_2d_no_rot( GLmatrix *mat )
465{
466 const GLfloat *in = mat->m;
467 GLfloat *out = mat->inv;
468
469 if (MAT(in,0,0) == 0 || MAT(in,1,1) == 0)
470 return GL_FALSE;
471
472 MEMCPY( out, Identity, 16 * sizeof(GLfloat) );
473 MAT(out,0,0) = 1.0 / MAT(in,0,0);
474 MAT(out,1,1) = 1.0 / MAT(in,1,1);
475
476 if (mat->flags & MAT_FLAG_TRANSLATION)
477 {
478 MAT(out,0,3) = - (MAT(in,0,3) * MAT(out,0,0));
479 MAT(out,1,3) = - (MAT(in,1,3) * MAT(out,1,1));
480 }
481
482 return GL_TRUE;
483}
484
485
486static GLboolean invert_matrix_perspective( GLmatrix *mat )
487{
488 const GLfloat *in = mat->m;
489 GLfloat *out = mat->inv;
490
491 if (MAT(in,2,3) == 0)
492 return GL_FALSE;
493
494 MEMCPY( out, Identity, 16 * sizeof(GLfloat) );
495
496 MAT(out,0,0) = 1.0 / MAT(in,0,0);
497 MAT(out,1,1) = 1.0 / MAT(in,1,1);
498
499 MAT(out,0,3) = MAT(in,0,2);
500 MAT(out,1,3) = MAT(in,1,2);
501
502 MAT(out,2,2) = 0;
503 MAT(out,2,3) = -1;
504
505 MAT(out,3,2) = 1.0 / MAT(in,2,3);
506 MAT(out,3,3) = MAT(in,2,2) * MAT(out,3,2);
507
508 return GL_TRUE;
509}
510
511
512typedef GLboolean (*inv_mat_func)( GLmatrix *mat );
513
514static inv_mat_func inv_mat_tab[7] = {
515 invert_matrix_general,
516 invert_matrix_identity,
517 invert_matrix_3d_no_rot,
518 invert_matrix_perspective,
519 invert_matrix_3d, /* lazy! */
520 invert_matrix_2d_no_rot,
521 invert_matrix_3d
522};
523
524
525GLboolean gl_matrix_invert( GLmatrix *mat )
526{
527 if (inv_mat_tab[mat->type](mat)) {
528#if 0
529 GLmatrix m; m.inv = 0; m.type = 0; m.flags = 0;
530 matmul4( m.m, mat->m, mat->inv );
531 printf("inverted matrix of type %s:\n", types[mat->type]);
532 gl_print_matrix( mat );
533 gl_print_matrix( &m );
534#endif
535 return GL_TRUE;
536 } else {
537 MEMCPY( mat->inv, Identity, sizeof(Identity) );
538 return GL_FALSE;
539 }
540}
541
542
543
544void gl_matrix_transposef( GLfloat to[16], const GLfloat from[16] )
545{
546 to[0] = from[0];
547 to[1] = from[4];
548 to[2] = from[8];
549 to[3] = from[12];
550 to[4] = from[1];
551 to[5] = from[5];
552 to[6] = from[9];
553 to[7] = from[13];
554 to[8] = from[2];
555 to[9] = from[6];
556 to[10] = from[10];
557 to[11] = from[14];
558 to[12] = from[3];
559 to[13] = from[7];
560 to[14] = from[11];
561 to[15] = from[15];
562}
563
564
565
566void gl_matrix_transposed( GLdouble to[16], const GLdouble from[16] )
567{
568 to[0] = from[0];
569 to[1] = from[4];
570 to[2] = from[8];
571 to[3] = from[12];
572 to[4] = from[1];
573 to[5] = from[5];
574 to[6] = from[9];
575 to[7] = from[13];
576 to[8] = from[2];
577 to[9] = from[6];
578 to[10] = from[10];
579 to[11] = from[14];
580 to[12] = from[3];
581 to[13] = from[7];
582 to[14] = from[11];
583 to[15] = from[15];
584}
585
586
587
588/*
589 * Generate a 4x4 transformation matrix from glRotate parameters.
590 */
591void gl_rotation_matrix( GLfloat angle, GLfloat x, GLfloat y, GLfloat z,
592 GLfloat m[] )
593{
594 /* This function contributed by Erich Boleyn (erich@uruk.org) */
595 GLfloat mag, s, c;
596 GLfloat xx, yy, zz, xy, yz, zx, xs, ys, zs, one_c;
597
598 s = sin( angle * DEG2RAD );
599 c = cos( angle * DEG2RAD );
600
601 mag = GL_SQRT( x*x + y*y + z*z );
602
603 if (mag == 0.0) {
604 /* generate an identity matrix and return */
605 MEMCPY(m, Identity, sizeof(GLfloat)*16);
606 return;
607 }
608
609 x /= mag;
610 y /= mag;
611 z /= mag;
612
613#define M(row,col) m[col*4+row]
614
615 /*
616 * Arbitrary axis rotation matrix.
617 *
618 * This is composed of 5 matrices, Rz, Ry, T, Ry', Rz', multiplied
619 * like so: Rz * Ry * T * Ry' * Rz'. T is the final rotation
620 * (which is about the X-axis), and the two composite transforms
621 * Ry' * Rz' and Rz * Ry are (respectively) the rotations necessary
622 * from the arbitrary axis to the X-axis then back. They are
623 * all elementary rotations.
624 *
625 * Rz' is a rotation about the Z-axis, to bring the axis vector
626 * into the x-z plane. Then Ry' is applied, rotating about the
627 * Y-axis to bring the axis vector parallel with the X-axis. The
628 * rotation about the X-axis is then performed. Ry and Rz are
629 * simply the respective inverse transforms to bring the arbitrary
630 * axis back to it's original orientation. The first transforms
631 * Rz' and Ry' are considered inverses, since the data from the
632 * arbitrary axis gives you info on how to get to it, not how
633 * to get away from it, and an inverse must be applied.
634 *
635 * The basic calculation used is to recognize that the arbitrary
636 * axis vector (x, y, z), since it is of unit length, actually
637 * represents the sines and cosines of the angles to rotate the
638 * X-axis to the same orientation, with theta being the angle about
639 * Z and phi the angle about Y (in the order described above)
640 * as follows:
641 *
642 * cos ( theta ) = x / sqrt ( 1 - z^2 )
643 * sin ( theta ) = y / sqrt ( 1 - z^2 )
644 *
645 * cos ( phi ) = sqrt ( 1 - z^2 )
646 * sin ( phi ) = z
647 *
648 * Note that cos ( phi ) can further be inserted to the above
649 * formulas:
650 *
651 * cos ( theta ) = x / cos ( phi )
652 * sin ( theta ) = y / sin ( phi )
653 *
654 * ...etc. Because of those relations and the standard trigonometric
655 * relations, it is pssible to reduce the transforms down to what
656 * is used below. It may be that any primary axis chosen will give the
657 * same results (modulo a sign convention) using thie method.
658 *
659 * Particularly nice is to notice that all divisions that might
660 * have caused trouble when parallel to certain planes or
661 * axis go away with care paid to reducing the expressions.
662 * After checking, it does perform correctly under all cases, since
663 * in all the cases of division where the denominator would have
664 * been zero, the numerator would have been zero as well, giving
665 * the expected result.
666 */
667
668 xx = x * x;
669 yy = y * y;
670 zz = z * z;
671 xy = x * y;
672 yz = y * z;
673 zx = z * x;
674 xs = x * s;
675 ys = y * s;
676 zs = z * s;
677 one_c = 1.0F - c;
678
679 M(0,0) = (one_c * xx) + c;
680 M(0,1) = (one_c * xy) - zs;
681 M(0,2) = (one_c * zx) + ys;
682 M(0,3) = 0.0F;
683
684 M(1,0) = (one_c * xy) + zs;
685 M(1,1) = (one_c * yy) + c;
686 M(1,2) = (one_c * yz) - xs;
687 M(1,3) = 0.0F;
688
689 M(2,0) = (one_c * zx) - ys;
690 M(2,1) = (one_c * yz) + xs;
691 M(2,2) = (one_c * zz) + c;
692 M(2,3) = 0.0F;
693
694 M(3,0) = 0.0F;
695 M(3,1) = 0.0F;
696 M(3,2) = 0.0F;
697 M(3,3) = 1.0F;
698
699#undef M
700}
701
702#define ZERO(x) (1<<x)
703#define ONE(x) (1<<(x+16))
704
705#define MASK_NO_TRX (ZERO(12) | ZERO(13) | ZERO(14))
706#define MASK_NO_2D_SCALE ( ONE(0) | ONE(5))
707
708#define MASK_IDENTITY ( ONE(0) | ZERO(4) | ZERO(8) | ZERO(12) |\
709 ZERO(1) | ONE(5) | ZERO(9) | ZERO(13) |\
710 ZERO(2) | ZERO(6) | ONE(10) | ZERO(14) |\
711 ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) )
712
713#define MASK_2D_NO_ROT ( ZERO(4) | ZERO(8) | \
714 ZERO(1) | ZERO(9) | \
715 ZERO(2) | ZERO(6) | ONE(10) | ZERO(14) |\
716 ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) )
717
718#define MASK_2D ( ZERO(8) | \
719 ZERO(9) | \
720 ZERO(2) | ZERO(6) | ONE(10) | ZERO(14) |\
721 ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) )
722
723
724#define MASK_3D_NO_ROT ( ZERO(4) | ZERO(8) | \
725 ZERO(1) | ZERO(9) | \
726 ZERO(2) | ZERO(6) | \
727 ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) )
728
729#define MASK_3D ( \
730 \
731 \
732 ZERO(3) | ZERO(7) | ZERO(11) | ONE(15) )
733
734
735#define MASK_PERSPECTIVE ( ZERO(4) | ZERO(12) |\
736 ZERO(1) | ZERO(13) |\
737 ZERO(2) | ZERO(6) | \
738 ZERO(3) | ZERO(7) | ZERO(15) )
739
740#define SQ(x) ((x)*(x))
741
742/* Determine type and flags from scratch. This is expensive enough to
743 * only want to do it once.
744 */
745static void analyze_from_scratch( GLmatrix *mat )
746{
747 const GLfloat *m = mat->m;
748 GLuint mask = 0;
749 GLuint i;
750
751 for (i = 0 ; i < 16 ; i++)
752 {
753 if (m[i] == 0.0) mask |= (1<<i);
754 }
755
756 if (m[0] == 1.0F) mask |= (1<<16);
757 if (m[5] == 1.0F) mask |= (1<<21);
758 if (m[10] == 1.0F) mask |= (1<<26);
759 if (m[15] == 1.0F) mask |= (1<<31);
760
761 mat->flags &= ~MAT_FLAGS_GEOMETRY;
762
763 /* Check for translation - no-one really cares
764 */
765 if ((mask & MASK_NO_TRX) != MASK_NO_TRX)
766 mat->flags |= MAT_FLAG_TRANSLATION;
767
768 /* Do the real work
769 */
770 if (mask == MASK_IDENTITY) {
771 mat->type = MATRIX_IDENTITY;
772 }
773 else if ((mask & MASK_2D_NO_ROT) == MASK_2D_NO_ROT)
774 {
775 mat->type = MATRIX_2D_NO_ROT;
776
777 if ((mask & MASK_NO_2D_SCALE) != MASK_NO_2D_SCALE)
778 mat->flags = MAT_FLAG_GENERAL_SCALE;
779 }
780 else if ((mask & MASK_2D) == MASK_2D)
781 {
782 GLfloat mm = DOT2(m, m);
783 GLfloat m4m4 = DOT2(m+4,m+4);
784 GLfloat mm4 = DOT2(m,m+4);
785
786 mat->type = MATRIX_2D;
787
788 /* Check for scale */
789 if (SQ(mm-1) > SQ(1e-6) ||
790 SQ(m4m4-1) > SQ(1e-6))
791 mat->flags |= MAT_FLAG_GENERAL_SCALE;
792
793 /* Check for rotation */
794 if (SQ(mm4) > SQ(1e-6))
795 mat->flags |= MAT_FLAG_GENERAL_3D;
796 else
797 mat->flags |= MAT_FLAG_ROTATION;
798
799 }
800 else if ((mask & MASK_3D_NO_ROT) == MASK_3D_NO_ROT)
801 {
802 mat->type = MATRIX_3D_NO_ROT;
803
804 /* Check for scale */
805 if (SQ(m[0]-m[5]) < SQ(1e-6) &&
806 SQ(m[0]-m[10]) < SQ(1e-6)) {
807 if (SQ(m[0]-1.0) > SQ(1e-6))
808 mat->flags |= MAT_FLAG_UNIFORM_SCALE;
809 } else
810 mat->flags |= MAT_FLAG_GENERAL_SCALE;
811 }
812 else if ((mask & MASK_3D) == MASK_3D)
813 {
814 GLfloat c1 = DOT3(m,m);
815 GLfloat c2 = DOT3(m+4,m+4);
816 GLfloat c3 = DOT3(m+8,m+8);
817 GLfloat d1 = DOT3(m, m+4);
818 GLfloat cp[3];
819
820 mat->type = MATRIX_3D;
821
822 /* Check for scale */
823 if (SQ(c1-c2) < SQ(1e-6) && SQ(c1-c3) < SQ(1e-6)) {
824 if (SQ(c1-1.0) > SQ(1e-6))
825 mat->flags |= MAT_FLAG_UNIFORM_SCALE;
826 /* else no scale at all */
827 } else
828 mat->flags |= MAT_FLAG_GENERAL_SCALE;
829
830 /* Check for rotation */
831 if (SQ(d1) < SQ(1e-6)) {
832 CROSS3( cp, m, m+4 );
833 SUB_3V( cp, cp, (m+8) );
834 if (LEN_SQUARED_3FV(cp) < SQ(1e-6))
835 mat->flags |= MAT_FLAG_ROTATION;
836 else
837 mat->flags |= MAT_FLAG_GENERAL_3D;
838 }
839 else
840 mat->flags |= MAT_FLAG_GENERAL_3D; /* shear, etc */
841 }
842 else if ((mask & MASK_PERSPECTIVE) == MASK_PERSPECTIVE && m[11]==-1.0F)
843 {
844 mat->type = MATRIX_PERSPECTIVE;
845 mat->flags |= MAT_FLAG_GENERAL;
846 }
847 else {
848 mat->type = MATRIX_GENERAL;
849 mat->flags |= MAT_FLAG_GENERAL;
850 }
851}
852
853
854/* Analyse a matrix given that its flags are accurate - this is the
855 * more common operation, hopefully.
856 */
857static void analyze_from_flags( GLmatrix *mat )
858{
859 const GLfloat *m = mat->m;
860
861 if (TEST_MAT_FLAGS(mat, 0)) {
862 mat->type = MATRIX_IDENTITY;
863 }
864 else if (TEST_MAT_FLAGS(mat, (MAT_FLAG_TRANSLATION |
865 MAT_FLAG_UNIFORM_SCALE |
866 MAT_FLAG_GENERAL_SCALE)))
867 {
868 if ( m[10]==1.0F && m[14]==0.0F ) {
869 mat->type = MATRIX_2D_NO_ROT;
870 }
871 else {
872 mat->type = MATRIX_3D_NO_ROT;
873 }
874 }
875 else if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D)) {
876 if ( m[ 8]==0.0F
877 && m[ 9]==0.0F
878 && m[2]==0.0F && m[6]==0.0F && m[10]==1.0F && m[14]==0.0F)
879 {
880 mat->type = MATRIX_2D;
881 }
882 else
883 {
884 mat->type = MATRIX_3D;
885 }
886 }
887 else if ( m[4]==0.0F && m[12]==0.0F
888 && m[1]==0.0F && m[13]==0.0F
889 && m[2]==0.0F && m[6]==0.0F
890 && m[3]==0.0F && m[7]==0.0F && m[11]==-1.0F && m[15]==0.0F)
891 {
892 mat->type = MATRIX_PERSPECTIVE;
893 }
894 else {
895 mat->type = MATRIX_GENERAL;
896 }
897
898}
899
900
901void gl_matrix_analyze( GLmatrix *mat )
902{
903 if (mat->flags & MAT_DIRTY_TYPE) {
904 if (mat->flags & MAT_DIRTY_FLAGS)
905 analyze_from_scratch( mat );
906 else
907 analyze_from_flags( mat );
908 }
909
910 if (mat->inv && (mat->flags & MAT_DIRTY_INVERSE)) {
911 gl_matrix_invert( mat );
912 }
913
914 mat->flags &= ~(MAT_DIRTY_FLAGS|
915 MAT_DIRTY_TYPE|
916 MAT_DIRTY_INVERSE);
917}
918
919
920#define GET_ACTIVE_MATRIX(ctx, mat, flags, where) \
921do { \
922 ASSERT_OUTSIDE_BEGIN_END_AND_FLUSH(ctx, where); \
923 if (MESA_VERBOSE&VERBOSE_API) fprintf(stderr, "%s\n", where); \
924 switch (ctx->Transform.MatrixMode) { \
925 case GL_MODELVIEW: \
926 mat = &ctx->ModelView; \
927 flags |= NEW_MODELVIEW; \
928 break; \
929 case GL_PROJECTION: \
930 mat = &ctx->ProjectionMatrix; \
931 flags |= NEW_PROJECTION; \
932 break; \
933 case GL_TEXTURE: \
934 mat = &ctx->TextureMatrix[ctx->Texture.CurrentTransformUnit]; \
935 flags |= NEW_TEXTURE_MATRIX; \
936 break; \
937 default: \
938 gl_problem(ctx, where); \
939 } \
940} while (0)
941
942
943void
944_mesa_Frustum( GLdouble left, GLdouble right,
945 GLdouble bottom, GLdouble top,
946 GLdouble nearval, GLdouble farval )
947{
948 GET_CURRENT_CONTEXT(ctx);
949 GLfloat x, y, a, b, c, d;
950 GLfloat m[16];
951 GLmatrix *mat = 0;
952
953 GET_ACTIVE_MATRIX( ctx, mat, ctx->NewState, "glFrustrum" );
954
955 if ((nearval<=0.0 || farval<=0.0) || (nearval == farval) || (left == right) || (top == bottom)) {
956 gl_error( ctx, GL_INVALID_VALUE, "glFrustum(near or far)" );
957 return;
958 }
959
960 x = (2.0*nearval) / (right-left);
961 y = (2.0*nearval) / (top-bottom);
962 a = (right+left) / (right-left);
963 b = (top+bottom) / (top-bottom);
964 c = -(farval+nearval) / ( farval-nearval);
965 d = -(2.0*farval*nearval) / (farval-nearval); /* error? */
966
967#define M(row,col) m[col*4+row]
968 M(0,0) = x; M(0,1) = 0.0F; M(0,2) = a; M(0,3) = 0.0F;
969 M(1,0) = 0.0F; M(1,1) = y; M(1,2) = b; M(1,3) = 0.0F;
970 M(2,0) = 0.0F; M(2,1) = 0.0F; M(2,2) = c; M(2,3) = d;
971 M(3,0) = 0.0F; M(3,1) = 0.0F; M(3,2) = -1.0F; M(3,3) = 0.0F;
972#undef M
973
974
975 gl_mat_mul_floats( mat, m, MAT_FLAG_PERSPECTIVE );
976
977
978 if (ctx->Transform.MatrixMode == GL_PROJECTION)
979 {
980 /* Need to keep a stack of near/far values in case the user push/pops
981 * the projection matrix stack so that we can call Driver.NearFar()
982 * after a pop.
983 */
984 ctx->NearFarStack[ctx->ProjectionStackDepth][0] = nearval;
985 ctx->NearFarStack[ctx->ProjectionStackDepth][1] = farval;
986
987 if (ctx->Driver.NearFar) {
988 (*ctx->Driver.NearFar)( ctx, nearval, farval );
989 }
990 }
991}
992
993
994void
995_mesa_Ortho( GLdouble left, GLdouble right,
996 GLdouble bottom, GLdouble top,
997 GLdouble nearval, GLdouble farval )
998{
999 GET_CURRENT_CONTEXT(ctx);
1000 GLfloat x, y, z;
1001 GLfloat tx, ty, tz;
1002 GLfloat m[16];
1003 GLmatrix *mat = 0;
1004
1005 GET_ACTIVE_MATRIX( ctx, mat, ctx->NewState, "glOrtho" );
1006
1007 if ((left == right) || (bottom == top) || (nearval == farval)) {
1008 gl_error( ctx, GL_INVALID_VALUE, "gl_Ortho((l = r) or (b = top) or (n=f)" );
1009 return;
1010 }
1011
1012 x = 2.0 / (right-left);
1013 y = 2.0 / (top-bottom);
1014 z = -2.0 / (farval-nearval);
1015 tx = -(right+left) / (right-left);
1016 ty = -(top+bottom) / (top-bottom);
1017 tz = -(farval+nearval) / (farval-nearval);
1018
1019#define M(row,col) m[col*4+row]
1020 M(0,0) = x; M(0,1) = 0.0F; M(0,2) = 0.0F; M(0,3) = tx;
1021 M(1,0) = 0.0F; M(1,1) = y; M(1,2) = 0.0F; M(1,3) = ty;
1022 M(2,0) = 0.0F; M(2,1) = 0.0F; M(2,2) = z; M(2,3) = tz;
1023 M(3,0) = 0.0F; M(3,1) = 0.0F; M(3,2) = 0.0F; M(3,3) = 1.0F;
1024#undef M
1025
1026 gl_mat_mul_floats( mat, m, (MAT_FLAG_GENERAL_SCALE|MAT_FLAG_TRANSLATION));
1027
1028 if (ctx->Driver.NearFar) {
1029 (*ctx->Driver.NearFar)( ctx, nearval, farval );
1030 }
1031}
1032
1033
1034void
1035_mesa_MatrixMode( GLenum mode )
1036{
1037 GET_CURRENT_CONTEXT(ctx);
1038 ASSERT_OUTSIDE_BEGIN_END_AND_FLUSH(ctx, "glMatrixMode");
1039 switch (mode) {
1040 case GL_MODELVIEW:
1041 case GL_PROJECTION:
1042 case GL_TEXTURE:
1043 ctx->Transform.MatrixMode = mode;
1044 break;
1045 default:
1046 gl_error( ctx, GL_INVALID_ENUM, "glMatrixMode" );
1047 }
1048}
1049
1050
1051
1052void
1053_mesa_PushMatrix( void )
1054{
1055 GET_CURRENT_CONTEXT(ctx);
1056 ASSERT_OUTSIDE_BEGIN_END_AND_FLUSH(ctx, "glPushMatrix");
1057
1058 if (MESA_VERBOSE&VERBOSE_API)
1059 fprintf(stderr, "glPushMatrix %s\n",
1060 gl_lookup_enum_by_nr(ctx->Transform.MatrixMode));
1061
1062 switch (ctx->Transform.MatrixMode) {
1063 case GL_MODELVIEW:
1064 if (ctx->ModelViewStackDepth >= MAX_MODELVIEW_STACK_DEPTH - 1) {
1065 gl_error( ctx, GL_STACK_OVERFLOW, "glPushMatrix");
1066 return;
1067 }
1068 gl_matrix_copy( &ctx->ModelViewStack[ctx->ModelViewStackDepth++],
1069 &ctx->ModelView );
1070 break;
1071 case GL_PROJECTION:
1072 if (ctx->ProjectionStackDepth >= MAX_PROJECTION_STACK_DEPTH - 1) {
1073 gl_error( ctx, GL_STACK_OVERFLOW, "glPushMatrix");
1074 return;
1075 }
1076 gl_matrix_copy( &ctx->ProjectionStack[ctx->ProjectionStackDepth++],
1077 &ctx->ProjectionMatrix );
1078
1079 /* Save near and far projection values */
1080 ctx->NearFarStack[ctx->ProjectionStackDepth][0]
1081 = ctx->NearFarStack[ctx->ProjectionStackDepth-1][0];
1082 ctx->NearFarStack[ctx->ProjectionStackDepth][1]
1083 = ctx->NearFarStack[ctx->ProjectionStackDepth-1][1];
1084 break;
1085 case GL_TEXTURE:
1086 {
1087 GLuint t = ctx->Texture.CurrentTransformUnit;
1088 if (ctx->TextureStackDepth[t] >= MAX_TEXTURE_STACK_DEPTH - 1) {
1089 gl_error( ctx, GL_STACK_OVERFLOW, "glPushMatrix");
1090 return;
1091 }
1092 gl_matrix_copy( &ctx->TextureStack[t][ctx->TextureStackDepth[t]++],
1093 &ctx->TextureMatrix[t] );
1094 }
1095 break;
1096 default:
1097 gl_problem(ctx, "Bad matrix mode in gl_PushMatrix");
1098 }
1099}
1100
1101
1102
1103void
1104_mesa_PopMatrix( void )
1105{
1106 GET_CURRENT_CONTEXT(ctx);
1107 ASSERT_OUTSIDE_BEGIN_END_AND_FLUSH(ctx, "glPopMatrix");
1108
1109 if (MESA_VERBOSE&VERBOSE_API)
1110 fprintf(stderr, "glPopMatrix %s\n",
1111 gl_lookup_enum_by_nr(ctx->Transform.MatrixMode));
1112
1113 switch (ctx->Transform.MatrixMode) {
1114 case GL_MODELVIEW:
1115 if (ctx->ModelViewStackDepth==0) {
1116 gl_error( ctx, GL_STACK_UNDERFLOW, "glPopMatrix");
1117 return;
1118 }
1119 gl_matrix_copy( &ctx->ModelView,
1120 &ctx->ModelViewStack[--ctx->ModelViewStackDepth] );
1121 ctx->NewState |= NEW_MODELVIEW;
1122 break;
1123 case GL_PROJECTION:
1124 if (ctx->ProjectionStackDepth==0) {
1125 gl_error( ctx, GL_STACK_UNDERFLOW, "glPopMatrix");
1126 return;
1127 }
1128
1129 gl_matrix_copy( &ctx->ProjectionMatrix,
1130 &ctx->ProjectionStack[--ctx->ProjectionStackDepth] );
1131 ctx->NewState |= NEW_PROJECTION;
1132
1133 /* Device driver near/far values */
1134 {
1135 GLfloat nearVal = ctx->NearFarStack[ctx->ProjectionStackDepth][0];
1136 GLfloat farVal = ctx->NearFarStack[ctx->ProjectionStackDepth][1];
1137 if (ctx->Driver.NearFar) {
1138 (*ctx->Driver.NearFar)( ctx, nearVal, farVal );
1139 }
1140 }
1141 break;
1142 case GL_TEXTURE:
1143 {
1144 GLuint t = ctx->Texture.CurrentTransformUnit;
1145 if (ctx->TextureStackDepth[t]==0) {
1146 gl_error( ctx, GL_STACK_UNDERFLOW, "glPopMatrix");
1147 return;
1148 }
1149 gl_matrix_copy(&ctx->TextureMatrix[t],
1150 &ctx->TextureStack[t][--ctx->TextureStackDepth[t]]);
1151 }
1152 break;
1153 default:
1154 gl_problem(ctx, "Bad matrix mode in gl_PopMatrix");
1155 }
1156}
1157
1158
1159
1160void
1161_mesa_LoadIdentity( void )
1162{
1163 GET_CURRENT_CONTEXT(ctx);
1164 GLmatrix *mat = 0;
1165 GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glLoadIdentity");
1166
1167 MEMCPY( mat->m, Identity, 16*sizeof(GLfloat) );
1168
1169 if (mat->inv)
1170 MEMCPY( mat->inv, Identity, 16*sizeof(GLfloat) );
1171
1172 mat->type = MATRIX_IDENTITY;
1173
1174 /* Have to set this to dirty to make sure we recalculate the
1175 * combined matrix later. The update_matrix in this case is a
1176 * shortcircuit anyway...
1177 */
1178 mat->flags = MAT_DIRTY_DEPENDENTS;
1179}
1180
1181
1182void
1183_mesa_LoadMatrixf( const GLfloat *m )
1184{
1185 GET_CURRENT_CONTEXT(ctx);
1186 GLmatrix *mat = 0;
1187 GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glLoadMatrix");
1188
1189 MEMCPY( mat->m, m, 16*sizeof(GLfloat) );
1190 mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY_ALL_OVER);
1191
1192 if (ctx->Transform.MatrixMode == GL_PROJECTION) {
1193
1194#define M(row,col) m[col*4+row]
1195 GLfloat c = M(2,2);
1196 GLfloat d = M(2,3);
1197#undef M
1198 GLfloat n = (c == 1.0 ? 0.0 : d / (c - 1.0));
1199 GLfloat f = (c == -1.0 ? 1.0 : d / (c + 1.0));
1200
1201 /* Need to keep a stack of near/far values in case the user
1202 * push/pops the projection matrix stack so that we can call
1203 * Driver.NearFar() after a pop.
1204 */
1205 ctx->NearFarStack[ctx->ProjectionStackDepth][0] = n;
1206 ctx->NearFarStack[ctx->ProjectionStackDepth][1] = f;
1207
1208 if (ctx->Driver.NearFar) {
1209 (*ctx->Driver.NearFar)( ctx, n, f );
1210 }
1211 }
1212}
1213
1214
1215void
1216_mesa_LoadMatrixd( const GLdouble *m )
1217{
1218 GLfloat f[16];
1219 GLint i;
1220 for (i = 0; i < 16; i++)
1221 f[i] = m[i];
1222 _mesa_LoadMatrixf(f);
1223}
1224
1225
1226
1227/*
1228 * Multiply the active matrix by an arbitary matrix.
1229 */
1230void
1231_mesa_MultMatrixf( const GLfloat *m )
1232{
1233 GET_CURRENT_CONTEXT(ctx);
1234 GLmatrix *mat = 0;
1235 GET_ACTIVE_MATRIX( ctx, mat, ctx->NewState, "glMultMatrix" );
1236 matmul4( mat->m, mat->m, m );
1237 mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY_ALL_OVER);
1238}
1239
1240
1241/*
1242 * Multiply the active matrix by an arbitary matrix.
1243 */
1244void
1245_mesa_MultMatrixd( const GLdouble *m )
1246{
1247 GET_CURRENT_CONTEXT(ctx);
1248 GLmatrix *mat = 0;
1249 GET_ACTIVE_MATRIX( ctx, mat, ctx->NewState, "glMultMatrix" );
1250 matmul4fd( mat->m, mat->m, m );
1251 mat->flags = (MAT_FLAG_GENERAL | MAT_DIRTY_ALL_OVER);
1252}
1253
1254
1255
1256
1257/*
1258 * Multiply a matrix by an array of floats with known properties.
1259 */
1260void gl_mat_mul_floats( GLmatrix *mat, const GLfloat *m, GLuint flags )
1261{
1262 mat->flags |= (flags |
1263 MAT_DIRTY_TYPE |
1264 MAT_DIRTY_INVERSE |
1265 MAT_DIRTY_DEPENDENTS);
1266
1267 if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D))
1268 matmul34( mat->m, mat->m, m );
1269 else
1270 matmul4( mat->m, mat->m, m );
1271
1272}
1273
1274/*
1275 * Multiply a matrix by an array of floats with known properties.
1276 */
1277void gl_mat_mul_mat( GLmatrix *mat, const GLmatrix *m )
1278{
1279 mat->flags |= (m->flags |
1280 MAT_DIRTY_TYPE |
1281 MAT_DIRTY_INVERSE |
1282 MAT_DIRTY_DEPENDENTS);
1283
1284 if (TEST_MAT_FLAGS(mat, MAT_FLAGS_3D))
1285 matmul34( mat->m, mat->m, m->m );
1286 else
1287 matmul4( mat->m, mat->m, m->m );
1288}
1289
1290
1291
1292/*
1293 * Execute a glRotate call
1294 */
1295void
1296_mesa_Rotatef( GLfloat angle, GLfloat x, GLfloat y, GLfloat z )
1297{
1298 GET_CURRENT_CONTEXT(ctx);
1299 GLfloat m[16];
1300 if (angle != 0.0F) {
1301 GLmatrix *mat = 0;
1302 GET_ACTIVE_MATRIX( ctx, mat, ctx->NewState, "glRotate" );
1303
1304 gl_rotation_matrix( angle, x, y, z, m );
1305 gl_mat_mul_floats( mat, m, MAT_FLAG_ROTATION );
1306 }
1307}
1308
1309void
1310_mesa_Rotated( GLdouble angle, GLdouble x, GLdouble y, GLdouble z )
1311{
1312 _mesa_Rotatef(angle, x, y, z);
1313}
1314
1315
1316/*
1317 * Execute a glScale call
1318 */
1319void
1320_mesa_Scalef( GLfloat x, GLfloat y, GLfloat z )
1321{
1322 GET_CURRENT_CONTEXT(ctx);
1323 GLmatrix *mat = 0;
1324 GLfloat *m;
1325 GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glScale");
1326
1327 m = mat->m;
1328 m[0] *= x; m[4] *= y; m[8] *= z;
1329 m[1] *= x; m[5] *= y; m[9] *= z;
1330 m[2] *= x; m[6] *= y; m[10] *= z;
1331 m[3] *= x; m[7] *= y; m[11] *= z;
1332
1333 if (fabs(x - y) < 1e-8 && fabs(x - z) < 1e-8)
1334 mat->flags |= MAT_FLAG_UNIFORM_SCALE;
1335 else
1336 mat->flags |= MAT_FLAG_GENERAL_SCALE;
1337
1338 mat->flags |= (MAT_DIRTY_TYPE |
1339 MAT_DIRTY_INVERSE |
1340 MAT_DIRTY_DEPENDENTS);
1341}
1342
1343
1344void
1345_mesa_Scaled( GLdouble x, GLdouble y, GLdouble z )
1346{
1347 _mesa_Scalef(x, y, z);
1348}
1349
1350
1351/*
1352 * Execute a glTranslate call
1353 */
1354void
1355_mesa_Translatef( GLfloat x, GLfloat y, GLfloat z )
1356{
1357 GET_CURRENT_CONTEXT(ctx);
1358 GLmatrix *mat = 0;
1359 GLfloat *m;
1360 GET_ACTIVE_MATRIX(ctx, mat, ctx->NewState, "glTranslate");
1361 m = mat->m;
1362 m[12] = m[0] * x + m[4] * y + m[8] * z + m[12];
1363 m[13] = m[1] * x + m[5] * y + m[9] * z + m[13];
1364 m[14] = m[2] * x + m[6] * y + m[10] * z + m[14];
1365 m[15] = m[3] * x + m[7] * y + m[11] * z + m[15];
1366
1367 mat->flags |= (MAT_FLAG_TRANSLATION |
1368 MAT_DIRTY_TYPE |
1369 MAT_DIRTY_INVERSE |
1370 MAT_DIRTY_DEPENDENTS);
1371}
1372
1373
1374void
1375_mesa_Translated( GLdouble x, GLdouble y, GLdouble z )
1376{
1377 _mesa_Translatef(x, y, z);
1378}
1379
1380
1381
1382void
1383_mesa_LoadTransposeMatrixfARB( const GLfloat *m )
1384{
1385 GLfloat tm[16];
1386 gl_matrix_transposef(tm, m);
1387 _mesa_LoadMatrixf(tm);
1388}
1389
1390
1391void
1392_mesa_LoadTransposeMatrixdARB( const GLdouble *m )
1393{
1394 GLdouble tm[16];
1395 gl_matrix_transposed(tm, m);
1396 _mesa_LoadMatrixd(tm);
1397}
1398
1399
1400void
1401_mesa_MultTransposeMatrixfARB( const GLfloat *m )
1402{
1403 GLfloat tm[16];
1404 gl_matrix_transposef(tm, m);
1405 _mesa_MultMatrixf(tm);
1406}
1407
1408
1409void
1410_mesa_MultTransposeMatrixdARB( const GLdouble *m )
1411{
1412 GLdouble tm[16];
1413 gl_matrix_transposed(tm, m);
1414 _mesa_MultMatrixd(tm);
1415}
1416
1417
1418/*
1419 * Called via glViewport or display list execution.
1420 */
1421void
1422_mesa_Viewport( GLint x, GLint y, GLsizei width, GLsizei height )
1423{
1424 GET_CURRENT_CONTEXT(ctx);
1425 gl_Viewport(ctx, x, y, width, height);
1426}
1427
1428
1429
1430/*
1431 * Define a new viewport and reallocate auxillary buffers if the size of
1432 * the window (color buffer) has changed.
1433 *
1434 * XXX This is directly called by device drivers, BUT this function
1435 * may be renamed _mesa_Viewport (without ctx arg) in the future so
1436 * use of _mesa_Viewport is encouraged.
1437 */
1438void
1439gl_Viewport( GLcontext *ctx, GLint x, GLint y, GLsizei width, GLsizei height )
1440{
1441 ASSERT_OUTSIDE_BEGIN_END_AND_FLUSH(ctx, "glViewport");
1442
1443 if (width<0 || height<0) {
1444 gl_error( ctx, GL_INVALID_VALUE, "glViewport" );
1445 return;
1446 }
1447
1448 if (MESA_VERBOSE & VERBOSE_API)
1449 fprintf(stderr, "glViewport %d %d %d %d\n", x, y, width, height);
1450
1451 /* clamp width, and height to implementation dependent range */
1452 width = CLAMP( width, 1, MAX_WIDTH );
1453 height = CLAMP( height, 1, MAX_HEIGHT );
1454
1455 /* Save viewport */
1456 ctx->Viewport.X = x;
1457 ctx->Viewport.Width = width;
1458 ctx->Viewport.Y = y;
1459 ctx->Viewport.Height = height;
1460
1461 /* compute scale and bias values */
1462 ctx->Viewport.WindowMap.m[MAT_SX] = (GLfloat) width / 2.0F;
1463 ctx->Viewport.WindowMap.m[MAT_TX] = ctx->Viewport.WindowMap.m[MAT_SX] + x;
1464 ctx->Viewport.WindowMap.m[MAT_SY] = (GLfloat) height / 2.0F;
1465 ctx->Viewport.WindowMap.m[MAT_TY] = ctx->Viewport.WindowMap.m[MAT_SY] + y;
1466 ctx->Viewport.WindowMap.m[MAT_SZ] = 0.5 * ctx->Visual->DepthMaxF;
1467 ctx->Viewport.WindowMap.m[MAT_TZ] = 0.5 * ctx->Visual->DepthMaxF;
1468
1469 ctx->Viewport.WindowMap.flags = MAT_FLAG_GENERAL_SCALE|MAT_FLAG_TRANSLATION;
1470 ctx->Viewport.WindowMap.type = MATRIX_3D_NO_ROT;
1471
1472 ctx->ModelProjectWinMatrixUptodate = GL_FALSE;
1473 ctx->NewState |= NEW_VIEWPORT;
1474
1475 /* Check if window/buffer has been resized and if so, reallocate the
1476 * ancillary buffers.
1477 */
1478 _mesa_ResizeBuffersMESA();
1479
1480
1481 ctx->RasterMask &= ~WINCLIP_BIT;
1482
1483 if ( ctx->Viewport.X<0
1484 || ctx->Viewport.X + ctx->Viewport.Width > ctx->DrawBuffer->Width
1485 || ctx->Viewport.Y<0
1486 || ctx->Viewport.Y + ctx->Viewport.Height > ctx->DrawBuffer->Height) {
1487 ctx->RasterMask |= WINCLIP_BIT;
1488 }
1489
1490
1491 if (ctx->Driver.Viewport) {
1492 (*ctx->Driver.Viewport)( ctx, x, y, width, height );
1493 }
1494}
1495
1496
1497
1498void
1499_mesa_DepthRange( GLclampd nearval, GLclampd farval )
1500{
1501 /*
1502 * nearval - specifies mapping of the near clipping plane to window
1503 * coordinates, default is 0
1504 * farval - specifies mapping of the far clipping plane to window
1505 * coordinates, default is 1
1506 *
1507 * After clipping and div by w, z coords are in -1.0 to 1.0,
1508 * corresponding to near and far clipping planes. glDepthRange
1509 * specifies a linear mapping of the normalized z coords in
1510 * this range to window z coords.
1511 */
1512 GLfloat n, f;
1513 GET_CURRENT_CONTEXT(ctx);
1514 ASSERT_OUTSIDE_BEGIN_END_AND_FLUSH(ctx, "glDepthRange");
1515
1516 if (MESA_VERBOSE&VERBOSE_API)
1517 fprintf(stderr, "glDepthRange %f %f\n", nearval, farval);
1518
1519 n = (GLfloat) CLAMP( nearval, 0.0, 1.0 );
1520 f = (GLfloat) CLAMP( farval, 0.0, 1.0 );
1521
1522 ctx->Viewport.Near = n;
1523 ctx->Viewport.Far = f;
1524 ctx->Viewport.WindowMap.m[MAT_SZ] = ctx->Visual->DepthMaxF * ((f - n) / 2.0);
1525 ctx->Viewport.WindowMap.m[MAT_TZ] = ctx->Visual->DepthMaxF * ((f - n) / 2.0 + n);
1526
1527 ctx->ModelProjectWinMatrixUptodate = GL_FALSE;
1528
1529 if (ctx->Driver.DepthRange) {
1530 (*ctx->Driver.DepthRange)( ctx, nearval, farval );
1531 }
1532}
1533
1534
1535void gl_calculate_model_project_matrix( GLcontext *ctx )
1536{
1537 gl_matrix_mul( &ctx->ModelProjectMatrix,
1538 &ctx->ProjectionMatrix,
1539 &ctx->ModelView );
1540
1541 gl_matrix_analyze( &ctx->ModelProjectMatrix );
1542}
1543
1544
1545void gl_matrix_ctr( GLmatrix *m )
1546{
1547 m->inv = 0;
1548 MEMCPY( m->m, Identity, sizeof(Identity));
1549 m->type = MATRIX_IDENTITY;
1550 m->flags = MAT_DIRTY_DEPENDENTS;
1551}
1552
1553void gl_matrix_dtr( GLmatrix *m )
1554{
1555 if (m->inv != 0) {
1556 FREE(m->inv);
1557 m->inv = 0;
1558 }
1559}
1560
1561#if 0
1562void gl_matrix_set_identity( GLmatrix *m )
1563{
1564 MEMCPY( m->m, Identity, sizeof(Identity));
1565 m->type = MATRIX_IDENTITY;
1566 m->flags = MAT_DIRTY_DEPENDENTS;
1567}
1568#endif
1569
1570void gl_matrix_alloc_inv( GLmatrix *m )
1571{
1572 if (m->inv == 0) {
1573 m->inv = (GLfloat *)MALLOC(16*sizeof(GLfloat));
1574 MEMCPY( m->inv, Identity, 16 * sizeof(GLfloat) );
1575 }
1576}
1577
1578void gl_matrix_copy( GLmatrix *to, const GLmatrix *from )
1579{
1580 MEMCPY( to->m, from->m, sizeof(Identity));
1581 to->flags = from->flags | MAT_DIRTY_DEPENDENTS;
1582 to->type = from->type;
1583
1584 if (to->inv != 0) {
1585 if (from->inv == 0) {
1586 gl_matrix_invert( to );
1587 } else {
1588 MEMCPY(to->inv, from->inv, sizeof(GLfloat)*16);
1589 }
1590 }
1591}
1592
1593void gl_matrix_mul( GLmatrix *dest, const GLmatrix *a, const GLmatrix *b )
1594{
1595 dest->flags = (a->flags |
1596 b->flags |
1597 MAT_DIRTY_TYPE |
1598 MAT_DIRTY_INVERSE |
1599 MAT_DIRTY_DEPENDENTS);
1600
1601 if (TEST_MAT_FLAGS(dest, MAT_FLAGS_3D))
1602 matmul34( dest->m, a->m, b->m );
1603 else
1604 matmul4( dest->m, a->m, b->m );
1605}
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