mlang/tests: Fix a pointer casting warning on 64-bit.
[wine/testsucceed.git] / dlls / d3dx9_36 / tests / math.c
blobf3bb48219152904c9c1eda6efa8f41626fb37603
1 /*
2 * Copyright 2008 David Adam
3 * Copyright 2008 Philip Nilsson
5 * This library is free software; you can redistribute it and/or
6 * modify it under the terms of the GNU Lesser General Public
7 * License as published by the Free Software Foundation; either
8 * version 2.1 of the License, or (at your option) any later version.
10 * This library is distributed in the hope that it will be useful,
11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 * Lesser General Public License for more details.
15 * You should have received a copy of the GNU Lesser General Public
16 * License along with this library; if not, write to the Free Software
17 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
20 #include "wine/test.h"
21 #include "d3dx9.h"
23 #define ARRAY_SIZE 5
25 #define admitted_error 0.0001f
27 #define relative_error(exp, out) ((exp == out) ? 0.0f : (fabs(out - exp) / fabs(exp)))
29 static inline BOOL compare_matrix(const D3DXMATRIX *m1, const D3DXMATRIX *m2)
31 int i, j;
33 for (i = 0; i < 4; ++i)
35 for (j = 0; j < 4; ++j)
37 if (fabs(U(*m1).m[i][j] - U(*m2).m[i][j]) > admitted_error)
38 return FALSE;
42 return TRUE;
45 #define expect_mat(expectedmat, gotmat) \
46 do { \
47 const D3DXMATRIX *__m1 = (expectedmat); \
48 const D3DXMATRIX *__m2 = (gotmat); \
49 ok(compare_matrix(__m1, __m2), "Expected matrix=\n(%f,%f,%f,%f\n %f,%f,%f,%f\n %f,%f,%f,%f\n %f,%f,%f,%f\n)\n\n" \
50 "Got matrix=\n(%f,%f,%f,%f\n %f,%f,%f,%f\n %f,%f,%f,%f\n %f,%f,%f,%f)\n", \
51 U(*__m1).m[0][0], U(*__m1).m[0][1], U(*__m1).m[0][2], U(*__m1).m[0][3], \
52 U(*__m1).m[1][0], U(*__m1).m[1][1], U(*__m1).m[1][2], U(*__m1).m[1][3], \
53 U(*__m1).m[2][0], U(*__m1).m[2][1], U(*__m1).m[2][2], U(*__m1).m[2][3], \
54 U(*__m1).m[3][0], U(*__m1).m[3][1], U(*__m1).m[3][2], U(*__m1).m[3][3], \
55 U(*__m2).m[0][0], U(*__m2).m[0][1], U(*__m2).m[0][2], U(*__m2).m[0][3], \
56 U(*__m2).m[1][0], U(*__m2).m[1][1], U(*__m2).m[1][2], U(*__m2).m[1][3], \
57 U(*__m2).m[2][0], U(*__m2).m[2][1], U(*__m2).m[2][2], U(*__m2).m[2][3], \
58 U(*__m2).m[3][0], U(*__m2).m[3][1], U(*__m2).m[3][2], U(*__m2).m[3][3]); \
59 } while(0)
61 #define compare_rotation(exp, got) \
62 ok(fabs(exp.w - got.w) < admitted_error && \
63 fabs(exp.x - got.x) < admitted_error && \
64 fabs(exp.y - got.y) < admitted_error && \
65 fabs(exp.z - got.z) < admitted_error, \
66 "Expected rotation = (%f, %f, %f, %f), \
67 got rotation = (%f, %f, %f, %f)\n", \
68 exp.w, exp.x, exp.y, exp.z, got.w, got.x, got.y, got.z)
70 #define compare_scale(exp, got) \
71 ok(fabs(exp.x - got.x) < admitted_error && \
72 fabs(exp.y - got.y) < admitted_error && \
73 fabs(exp.z - got.z) < admitted_error, \
74 "Expected scale = (%f, %f, %f), \
75 got scale = (%f, %f, %f)\n", \
76 exp.x, exp.y, exp.z, got.x, got.y, got.z)
78 #define compare_translation(exp, got) \
79 ok(fabs(exp.x - got.x) < admitted_error && \
80 fabs(exp.y - got.y) < admitted_error && \
81 fabs(exp.z - got.z) < admitted_error, \
82 "Expected translation = (%f, %f, %f), \
83 got translation = (%f, %f, %f)\n", \
84 exp.x, exp.y, exp.z, got.x, got.y, got.z)
86 #define compare_vectors(exp, out) \
87 for (i = 0; i < ARRAY_SIZE + 2; ++i) { \
88 ok(relative_error(exp[i].x, out[i].x) < admitted_error && \
89 relative_error(exp[i].y, out[i].y) < admitted_error && \
90 relative_error(exp[i].z, out[i].z) < admitted_error && \
91 relative_error(exp[i].w, out[i].w) < admitted_error, \
92 "Got (%f, %f, %f, %f), expected (%f, %f, %f, %f) for index %d.\n", \
93 out[i].x, out[i].y, out[i].z, out[i].w, \
94 exp[i].x, exp[i].y, exp[i].z, exp[i].w, \
95 i); \
98 #define compare_planes(exp, out) \
99 for (i = 0; i < ARRAY_SIZE + 2; ++i) { \
100 ok(relative_error(exp[i].a, out[i].a) < admitted_error && \
101 relative_error(exp[i].b, out[i].b) < admitted_error && \
102 relative_error(exp[i].c, out[i].c) < admitted_error && \
103 relative_error(exp[i].d, out[i].d) < admitted_error, \
104 "Got (%f, %f, %f, %f), expected (%f, %f, %f, %f) for index %d.\n", \
105 out[i].a, out[i].b, out[i].c, out[i].d, \
106 exp[i].a, exp[i].b, exp[i].c, exp[i].d, \
107 i); \
110 /* The mathematical properties are checked in the d3dx8 testsuite.
112 * These tests check:
113 * That the functions work.
114 * That the stride functionality works.
115 * That nothing is written where it should not be.
117 * These tests should check:
118 * That inp_vec is not modified.
119 * That the input and output arrays can be the same (MSDN
120 * says they can, and some testing with a native DLL
121 * says so too).
124 static void test_Matrix_AffineTransformation2D(void)
126 D3DXMATRIX exp_mat, got_mat;
127 D3DXVECTOR2 center, position;
128 FLOAT angle, scale;
130 center.x = 3.0f;
131 center.y = 4.0f;
133 position.x = -6.0f;
134 position.y = 7.0f;
136 angle = D3DX_PI/3.0f;
138 scale = 20.0f;
140 U(exp_mat).m[0][0] = 10.0f;
141 U(exp_mat).m[1][0] = -17.320507f;
142 U(exp_mat).m[2][0] = 0.0f;
143 U(exp_mat).m[3][0] = -1.035898f;
144 U(exp_mat).m[0][1] = 17.320507f;
145 U(exp_mat).m[1][1] = 10.0f;
146 U(exp_mat).m[2][1] = 0.0f;
147 U(exp_mat).m[3][1] = 6.401924f;
148 U(exp_mat).m[0][2] = 0.0f;
149 U(exp_mat).m[1][2] = 0.0f;
150 U(exp_mat).m[2][2] = 20.0f;
151 U(exp_mat).m[3][2] = 0.0f;
152 U(exp_mat).m[0][3] = 0.0f;
153 U(exp_mat).m[1][3] = 0.0f;
154 U(exp_mat).m[2][3] = 0.0f;
155 U(exp_mat).m[3][3] = 1.0f;
157 D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, &position);
159 expect_mat(&exp_mat, &got_mat);
161 /*______________*/
163 center.x = 3.0f;
164 center.y = 4.0f;
166 angle = D3DX_PI/3.0f;
168 scale = 20.0f;
170 U(exp_mat).m[0][0] = 10.0f;
171 U(exp_mat).m[1][0] = -17.320507f;
172 U(exp_mat).m[2][0] = 0.0f;
173 U(exp_mat).m[3][0] = 4.964102f;
174 U(exp_mat).m[0][1] = 17.320507f;
175 U(exp_mat).m[1][1] = 10.0f;
176 U(exp_mat).m[2][1] = 0.0f;
177 U(exp_mat).m[3][1] = -0.598076f;
178 U(exp_mat).m[0][2] = 0.0f;
179 U(exp_mat).m[1][2] = 0.0f;
180 U(exp_mat).m[2][2] = 20.0f;
181 U(exp_mat).m[3][2] = 0.0f;
182 U(exp_mat).m[0][3] = 0.0f;
183 U(exp_mat).m[1][3] = 0.0f;
184 U(exp_mat).m[2][3] = 0.0f;
185 U(exp_mat).m[3][3] = 1.0f;
187 D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, NULL);
189 expect_mat(&exp_mat, &got_mat);
191 /*______________*/
193 position.x = -6.0f;
194 position.y = 7.0f;
196 angle = D3DX_PI/3.0f;
198 scale = 20.0f;
200 U(exp_mat).m[0][0] = 10.0f;
201 U(exp_mat).m[1][0] = -17.320507f;
202 U(exp_mat).m[2][0] = 0.0f;
203 U(exp_mat).m[3][0] = -6.0f;
204 U(exp_mat).m[0][1] = 17.320507f;
205 U(exp_mat).m[1][1] = 10.0f;
206 U(exp_mat).m[2][1] = 0.0f;
207 U(exp_mat).m[3][1] = 7.0f;
208 U(exp_mat).m[0][2] = 0.0f;
209 U(exp_mat).m[1][2] = 0.0f;
210 U(exp_mat).m[2][2] = 20.0f;
211 U(exp_mat).m[3][2] = 0.0f;
212 U(exp_mat).m[0][3] = 0.0f;
213 U(exp_mat).m[1][3] = 0.0f;
214 U(exp_mat).m[2][3] = 0.0f;
215 U(exp_mat).m[3][3] = 1.0f;
217 D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, &position);
219 expect_mat(&exp_mat, &got_mat);
221 /*______________*/
223 angle = 5.0f * D3DX_PI/4.0f;
225 scale = -20.0f;
227 U(exp_mat).m[0][0] = 14.142133f;
228 U(exp_mat).m[1][0] = -14.142133f;
229 U(exp_mat).m[2][0] = 0.0f;
230 U(exp_mat).m[3][0] = 0.0f;
231 U(exp_mat).m[0][1] = 14.142133;
232 U(exp_mat).m[1][1] = 14.142133f;
233 U(exp_mat).m[2][1] = 0.0f;
234 U(exp_mat).m[3][1] = 0.0f;
235 U(exp_mat).m[0][2] = 0.0f;
236 U(exp_mat).m[1][2] = 0.0f;
237 U(exp_mat).m[2][2] = -20.0f;
238 U(exp_mat).m[3][2] = 0.0f;
239 U(exp_mat).m[0][3] = 0.0f;
240 U(exp_mat).m[1][3] = 0.0f;
241 U(exp_mat).m[2][3] = 0.0f;
242 U(exp_mat).m[3][3] = 1.0f;
244 D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, NULL);
246 expect_mat(&exp_mat, &got_mat);
249 static void test_Matrix_Decompose(void)
251 D3DXMATRIX pm;
252 D3DXQUATERNION exp_rotation, got_rotation;
253 D3DXVECTOR3 exp_scale, got_scale, exp_translation, got_translation;
254 HRESULT hr;
256 /*___________*/
258 U(pm).m[0][0] = -0.9238790f;
259 U(pm).m[1][0] = -0.2705984f;
260 U(pm).m[2][0] = 0.2705984f;
261 U(pm).m[3][0] = -5.0f;
262 U(pm).m[0][1] = 0.2705984f;
263 U(pm).m[1][1] = 0.03806049f;
264 U(pm).m[2][1] = 0.9619395f;
265 U(pm).m[3][1] = 0.0f;
266 U(pm).m[0][2] = -0.2705984f;
267 U(pm).m[1][2] = 0.9619395f;
268 U(pm).m[2][2] = 0.03806049f;
269 U(pm).m[3][2] = 10.0f;
270 U(pm).m[0][3] = 0.0f;
271 U(pm).m[1][3] = 0.0f;
272 U(pm).m[2][3] = 0.0f;
273 U(pm).m[3][3] = 1.0f;
275 exp_scale.x = 1.0f;
276 exp_scale.y = 1.0f;
277 exp_scale.z = 1.0f;
279 exp_rotation.w = 0.195091f;
280 exp_rotation.x = 0.0f;
281 exp_rotation.y = 0.693520f;
282 exp_rotation.z = 0.693520f;
284 exp_translation.x = -5.0f;
285 exp_translation.y = 0.0f;
286 exp_translation.z = 10.0f;
288 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
290 compare_scale(exp_scale, got_scale);
291 compare_rotation(exp_rotation, got_rotation);
292 compare_translation(exp_translation, got_translation);
294 /*_________*/
296 U(pm).m[0][0] = -2.255813f;
297 U(pm).m[1][0] = 1.302324f;
298 U(pm).m[2][0] = 1.488373f;
299 U(pm).m[3][0] = 1.0f;
300 U(pm).m[0][1] = 1.302327f;
301 U(pm).m[1][1] = -0.7209296f;
302 U(pm).m[2][1] = 2.60465f;
303 U(pm).m[3][1] = 2.0f;
304 U(pm).m[0][2] = 1.488371f;
305 U(pm).m[1][2] = 2.604651f;
306 U(pm).m[2][2] = -0.02325551f;
307 U(pm).m[3][2] = 3.0f;
308 U(pm).m[0][3] = 0.0f;
309 U(pm).m[1][3] = 0.0f;
310 U(pm).m[2][3] = 0.0f;
311 U(pm).m[3][3] = 1.0f;
313 exp_scale.x = 3.0f;
314 exp_scale.y = 3.0f;
315 exp_scale.z = 3.0f;
317 exp_rotation.w = 0.0;
318 exp_rotation.x = 0.352180f;
319 exp_rotation.y = 0.616316f;
320 exp_rotation.z = 0.704361f;
322 exp_translation.x = 1.0f;
323 exp_translation.y = 2.0f;
324 exp_translation.z = 3.0f;
326 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
328 compare_scale(exp_scale, got_scale);
329 compare_rotation(exp_rotation, got_rotation);
330 compare_translation(exp_translation, got_translation);
332 /*_____________*/
334 U(pm).m[0][0] = 2.427051f;
335 U(pm).m[1][0] = 0.0f;
336 U(pm).m[2][0] = 1.763355f;
337 U(pm).m[3][0] = 5.0f;
338 U(pm).m[0][1] = 0.0f;
339 U(pm).m[1][1] = 3.0f;
340 U(pm).m[2][1] = 0.0f;
341 U(pm).m[3][1] = 5.0f;
342 U(pm).m[0][2] = -1.763355f;
343 U(pm).m[1][2] = 0.0f;
344 U(pm).m[2][2] = 2.427051f;
345 U(pm).m[3][2] = 5.0f;
346 U(pm).m[0][3] = 0.0f;
347 U(pm).m[1][3] = 0.0f;
348 U(pm).m[2][3] = 0.0f;
349 U(pm).m[3][3] = 1.0f;
351 exp_scale.x = 3.0f;
352 exp_scale.y = 3.0f;
353 exp_scale.z = 3.0f;
355 exp_rotation.w = 0.951057f;
356 exp_rotation.x = 0.0f;
357 exp_rotation.y = 0.309017f;
358 exp_rotation.z = 0.0f;
360 exp_translation.x = 5.0f;
361 exp_translation.y = 5.0f;
362 exp_translation.z = 5.0f;
364 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
366 compare_scale(exp_scale, got_scale);
367 compare_rotation(exp_rotation, got_rotation);
368 compare_translation(exp_translation, got_translation);
370 /*_____________*/
372 U(pm).m[0][0] = -0.9238790f;
373 U(pm).m[1][0] = -0.2705984f;
374 U(pm).m[2][0] = 0.2705984f;
375 U(pm).m[3][0] = -5.0f;
376 U(pm).m[0][1] = 0.2705984f;
377 U(pm).m[1][1] = 0.03806049f;
378 U(pm).m[2][1] = 0.9619395f;
379 U(pm).m[3][1] = 0.0f;
380 U(pm).m[0][2] = -0.2705984f;
381 U(pm).m[1][2] = 0.9619395f;
382 U(pm).m[2][2] = 0.03806049f;
383 U(pm).m[3][2] = 10.0f;
384 U(pm).m[0][3] = 0.0f;
385 U(pm).m[1][3] = 0.0f;
386 U(pm).m[2][3] = 0.0f;
387 U(pm).m[3][3] = 1.0f;
389 exp_scale.x = 1.0f;
390 exp_scale.y = 1.0f;
391 exp_scale.z = 1.0f;
393 exp_rotation.w = 0.195091f;
394 exp_rotation.x = 0.0f;
395 exp_rotation.y = 0.693520f;
396 exp_rotation.z = 0.693520f;
398 exp_translation.x = -5.0f;
399 exp_translation.y = 0.0f;
400 exp_translation.z = 10.0f;
402 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
404 compare_scale(exp_scale, got_scale);
405 compare_rotation(exp_rotation, got_rotation);
406 compare_translation(exp_translation, got_translation);
408 /*__________*/
410 U(pm).m[0][0] = -0.9238790f;
411 U(pm).m[1][0] = -0.5411968f;
412 U(pm).m[2][0] = 0.8117952f;
413 U(pm).m[3][0] = -5.0f;
414 U(pm).m[0][1] = 0.2705984f;
415 U(pm).m[1][1] = 0.07612098f;
416 U(pm).m[2][1] = 2.8858185f;
417 U(pm).m[3][1] = 0.0f;
418 U(pm).m[0][2] = -0.2705984f;
419 U(pm).m[1][2] = 1.9238790f;
420 U(pm).m[2][2] = 0.11418147f;
421 U(pm).m[3][2] = 10.0f;
422 U(pm).m[0][3] = 0.0f;
423 U(pm).m[1][3] = 0.0f;
424 U(pm).m[2][3] = 0.0f;
425 U(pm).m[3][3] = 1.0f;
427 exp_scale.x = 1.0f;
428 exp_scale.y = 2.0f;
429 exp_scale.z = 3.0f;
431 exp_rotation.w = 0.195091f;
432 exp_rotation.x = 0.0f;
433 exp_rotation.y = 0.693520f;
434 exp_rotation.z = 0.693520f;
436 exp_translation.x = -5.0f;
437 exp_translation.y = 0.0f;
438 exp_translation.z = 10.0f;
440 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
442 compare_scale(exp_scale, got_scale);
443 compare_rotation(exp_rotation, got_rotation);
444 compare_translation(exp_translation, got_translation);
446 /*__________*/
448 U(pm).m[0][0] = 0.7156004f;
449 U(pm).m[1][0] = -0.5098283f;
450 U(pm).m[2][0] = -0.4774843f;
451 U(pm).m[3][0] = -5.0f;
452 U(pm).m[0][1] = -0.6612288f;
453 U(pm).m[1][1] = -0.7147621f;
454 U(pm).m[2][1] = -0.2277977f;
455 U(pm).m[3][1] = 0.0f;
456 U(pm).m[0][2] = -0.2251499f;
457 U(pm).m[1][2] = 0.4787385f;
458 U(pm).m[2][2] = -0.8485972f;
459 U(pm).m[3][2] = 10.0f;
460 U(pm).m[0][3] = 0.0f;
461 U(pm).m[1][3] = 0.0f;
462 U(pm).m[2][3] = 0.0f;
463 U(pm).m[3][3] = 1.0f;
465 exp_scale.x = 1.0f;
466 exp_scale.y = 1.0f;
467 exp_scale.z = 1.0f;
469 exp_rotation.w = 0.195091f;
470 exp_rotation.x = 0.905395f;
471 exp_rotation.y = -0.323355f;
472 exp_rotation.z = -0.194013f;
474 exp_translation.x = -5.0f;
475 exp_translation.y = 0.0f;
476 exp_translation.z = 10.0f;
478 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
480 compare_scale(exp_scale, got_scale);
481 compare_rotation(exp_rotation, got_rotation);
482 compare_translation(exp_translation, got_translation);
484 /*_____________*/
486 U(pm).m[0][0] = 0.06554436f;
487 U(pm).m[1][0] = -0.6873012f;
488 U(pm).m[2][0] = 0.7234092f;
489 U(pm).m[3][0] = -5.0f;
490 U(pm).m[0][1] = -0.9617381f;
491 U(pm).m[1][1] = -0.2367795f;
492 U(pm).m[2][1] = -0.1378230f;
493 U(pm).m[3][1] = 0.0f;
494 U(pm).m[0][2] = 0.2660144f;
495 U(pm).m[1][2] = -0.6866967f;
496 U(pm).m[2][2] = -0.6765233f;
497 U(pm).m[3][2] = 10.0f;
498 U(pm).m[0][3] = 0.0f;
499 U(pm).m[1][3] = 0.0f;
500 U(pm).m[2][3] = 0.0f;
501 U(pm).m[3][3] = 1.0f;
503 exp_scale.x = 1.0f;
504 exp_scale.y = 1.0f;
505 exp_scale.z = 1.0f;
507 exp_rotation.w = -0.195091f;
508 exp_rotation.x = 0.703358f;
509 exp_rotation.y = -0.586131f;
510 exp_rotation.z = 0.351679f;
512 exp_translation.x = -5.0f;
513 exp_translation.y = 0.0f;
514 exp_translation.z = 10.0f;
516 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
518 compare_scale(exp_scale, got_scale);
519 compare_rotation(exp_rotation, got_rotation);
520 compare_translation(exp_translation, got_translation);
522 /*_________*/
524 U(pm).m[0][0] = 7.121047f;
525 U(pm).m[1][0] = -5.883487f;
526 U(pm).m[2][0] = 11.81843f;
527 U(pm).m[3][0] = -5.0f;
528 U(pm).m[0][1] = 5.883487f;
529 U(pm).m[1][1] = -10.60660f;
530 U(pm).m[2][1] = -8.825232f;
531 U(pm).m[3][1] = 0.0f;
532 U(pm).m[0][2] = 11.81843f;
533 U(pm).m[1][2] = 8.8252320f;
534 U(pm).m[2][2] = -2.727645f;
535 U(pm).m[3][2] = 2.0f;
536 U(pm).m[0][3] = 0.0f;
537 U(pm).m[1][3] = 0.0f;
538 U(pm).m[2][3] = 0.0f;
539 U(pm).m[3][3] = 1.0f;
541 exp_scale.x = 15.0f;
542 exp_scale.y = 15.0f;
543 exp_scale.z = 15.0f;
545 exp_rotation.w = 0.382684f;
546 exp_rotation.x = 0.768714f;
547 exp_rotation.y = 0.0f;
548 exp_rotation.z = 0.512476f;
550 exp_translation.x = -5.0f;
551 exp_translation.y = 0.0f;
552 exp_translation.z = 2.0f;
554 D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
556 compare_scale(exp_scale, got_scale);
557 compare_rotation(exp_rotation, got_rotation);
558 compare_translation(exp_translation, got_translation);
560 /*__________*/
562 U(pm).m[0][0] = 0.0f;
563 U(pm).m[1][0] = 4.0f;
564 U(pm).m[2][0] = 5.0f;
565 U(pm).m[3][0] = -5.0f;
566 U(pm).m[0][1] = 0.0f;
567 U(pm).m[1][1] = -10.60660f;
568 U(pm).m[2][1] = -8.825232f;
569 U(pm).m[3][1] = 6.0f;
570 U(pm).m[0][2] = 0.0f;
571 U(pm).m[1][2] = 8.8252320f;
572 U(pm).m[2][2] = 2.727645;
573 U(pm).m[3][2] = 3.0f;
574 U(pm).m[0][3] = 0.0f;
575 U(pm).m[1][3] = 0.0f;
576 U(pm).m[2][3] = 0.0f;
577 U(pm).m[3][3] = 1.0f;
579 hr = D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
580 ok(hr == D3DERR_INVALIDCALL, "Expected D3DERR_INVALIDCALL, got %x\n", hr);
582 /*___________*/
584 hr = D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, NULL);
585 ok(hr == D3DERR_INVALIDCALL, "Expected D3DERR_INVALIDCALL, got %x\n", hr);
588 static void test_Matrix_Transformation2D(void)
590 D3DXMATRIX exp_mat, got_mat;
591 D3DXVECTOR2 rot_center, sca, sca_center, trans;
592 FLOAT rot, sca_rot;
594 rot_center.x = 3.0f;
595 rot_center.y = 4.0f;
597 sca.x = 12.0f;
598 sca.y = -3.0f;
600 sca_center.x = 9.0f;
601 sca_center.y = -5.0f;
603 trans.x = -6.0f;
604 trans.y = 7.0f;
606 rot = D3DX_PI/3.0f;
608 sca_rot = 5.0f*D3DX_PI/4.0f;
610 U(exp_mat).m[0][0] = -4.245192f;
611 U(exp_mat).m[1][0] = -0.147116f;
612 U(exp_mat).m[2][0] = 0.0f;
613 U(exp_mat).m[3][0] = 45.265373f;
614 U(exp_mat).m[0][1] = 7.647113f;
615 U(exp_mat).m[1][1] = 8.745192f;
616 U(exp_mat).m[2][1] = 0.0f;
617 U(exp_mat).m[3][1] = -13.401899f;
618 U(exp_mat).m[0][2] = 0.0f;
619 U(exp_mat).m[1][2] = 0.0f;
620 U(exp_mat).m[2][2] = 0.0f;
621 U(exp_mat).m[3][2] = 0.0f;
622 U(exp_mat).m[0][3] = 0.0f;
623 U(exp_mat).m[1][3] = 0.0f;
624 U(exp_mat).m[2][3] = 0.0f;
625 U(exp_mat).m[3][3] = 1.0f;
627 D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, &sca, &rot_center, rot, &trans);
629 expect_mat(&exp_mat, &got_mat);
631 /*_________*/
633 sca_center.x = 9.0f;
634 sca_center.y = -5.0f;
636 trans.x = -6.0f;
637 trans.y = 7.0f;
639 rot = D3DX_PI/3.0f;
641 sca_rot = 5.0f*D3DX_PI/4.0f;
643 U(exp_mat).m[0][0] = 0.0f;
644 U(exp_mat).m[1][0] = 0.0f;
645 U(exp_mat).m[2][0] = 0.0f;
646 U(exp_mat).m[3][0] = 2.830127f;
647 U(exp_mat).m[0][1] = 0.0f;
648 U(exp_mat).m[1][1] = 0.0f;
649 U(exp_mat).m[2][1] = 0.0f;
650 U(exp_mat).m[3][1] = 12.294229f;
651 U(exp_mat).m[0][2] = 0.0f;
652 U(exp_mat).m[1][2] = 0.0f;
653 U(exp_mat).m[2][2] = 0.0f;
654 U(exp_mat).m[3][2] = 0.0f;
655 U(exp_mat).m[0][3] = 0.0f;
656 U(exp_mat).m[1][3] = 0.0f;
657 U(exp_mat).m[2][3] = 0.0f;
658 U(exp_mat).m[3][3] = 1.0f;
660 D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, NULL, NULL, rot, &trans);
662 expect_mat(&exp_mat, &got_mat);
665 static void test_D3DXVec_Array(void)
667 unsigned int i;
668 D3DVIEWPORT9 viewport;
669 D3DXMATRIX mat, projection, view, world;
670 D3DXVECTOR4 inp_vec[ARRAY_SIZE];
671 D3DXVECTOR4 out_vec[ARRAY_SIZE + 2];
672 D3DXVECTOR4 exp_vec[ARRAY_SIZE + 2];
673 D3DXPLANE inp_plane[ARRAY_SIZE];
674 D3DXPLANE out_plane[ARRAY_SIZE + 2];
675 D3DXPLANE exp_plane[ARRAY_SIZE + 2];
677 viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
678 viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;
680 for (i = 0; i < ARRAY_SIZE + 2; ++i) {
681 out_vec[i].x = out_vec[i].y = out_vec[i].z = out_vec[i].w = 0.0f;
682 exp_vec[i].x = exp_vec[i].y = exp_vec[i].z = exp_vec[i].w = 0.0f;
683 out_plane[i].a = out_plane[i].b = out_plane[i].c = out_plane[i].d = 0.0f;
684 exp_plane[i].a = exp_plane[i].b = exp_plane[i].c = exp_plane[i].d = 0.0f;
687 for (i = 0; i < ARRAY_SIZE; ++i) {
688 inp_plane[i].a = inp_plane[i].c = inp_vec[i].x = inp_vec[i].z = i;
689 inp_plane[i].b = inp_plane[i].d = inp_vec[i].y = inp_vec[i].w = ARRAY_SIZE - i;
692 U(mat).m[0][0] = 1.0f; U(mat).m[0][1] = 2.0f; U(mat).m[0][2] = 3.0f; U(mat).m[0][3] = 4.0f;
693 U(mat).m[1][0] = 5.0f; U(mat).m[1][1] = 6.0f; U(mat).m[1][2] = 7.0f; U(mat).m[1][3] = 8.0f;
694 U(mat).m[2][0] = 9.0f; U(mat).m[2][1] = 10.0f; U(mat).m[2][2] = 11.0f; U(mat).m[2][3] = 12.0f;
695 U(mat).m[3][0] = 13.0f; U(mat).m[3][1] = 14.0f; U(mat).m[3][2] = 15.0f; U(mat).m[3][3] = 16.0f;
697 D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
699 U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
700 U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
701 U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
702 U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
703 U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
704 U(view).m[3][3] = -40.0f;
706 U(world).m[0][0] = 21.0f; U(world).m[0][1] = 2.0f; U(world).m[0][2] = 3.0f; U(world).m[0][3] = 4.0;
707 U(world).m[1][0] = 5.0f; U(world).m[1][1] = 23.0f; U(world).m[1][2] = 7.0f; U(world).m[1][3] = 8.0f;
708 U(world).m[2][0] = -8.0f; U(world).m[2][1] = -7.0f; U(world).m[2][2] = 25.0f; U(world).m[2][3] = -5.0f;
709 U(world).m[3][0] = -4.0f; U(world).m[3][1] = -3.0f; U(world).m[3][2] = -2.0f; U(world).m[3][3] = 27.0f;
711 /* D3DXVec2TransformCoordArray */
712 exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;
713 exp_vec[2].x = 0.653846f; exp_vec[2].y = 0.769231f;
714 exp_vec[3].x = 0.625f; exp_vec[3].y = 0.75f;
715 exp_vec[4].x = 0.590909f; exp_vec[4].y = 8.0f/11.0f;
716 exp_vec[5].x = 0.55f; exp_vec[5].y = 0.7f;
717 D3DXVec2TransformCoordArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
718 compare_vectors(exp_vec, out_vec);
720 /* D3DXVec2TransformNormalArray */
721 exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f;
722 exp_vec[2].x = 21.0f; exp_vec[2].y = 26.0f;
723 exp_vec[3].x = 17.0f; exp_vec[3].y = 22.0f;
724 exp_vec[4].x = 13.0f; exp_vec[4].y = 18.0f;
725 exp_vec[5].x = 9.0f; exp_vec[5].y = 14.0f;
726 D3DXVec2TransformNormalArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
727 compare_vectors(exp_vec, out_vec);
729 /* D3DXVec3TransformCoordArray */
730 exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f; exp_vec[1].z = 0.892857f;
731 exp_vec[2].x = 0.671875f; exp_vec[2].y = 0.78125f; exp_vec[2].z = 0.890625f;
732 exp_vec[3].x = 6.0f/9.0f; exp_vec[3].y = 7.0f/9.0f; exp_vec[3].z = 8.0f/9.0f;
733 exp_vec[4].x = 0.6625f; exp_vec[4].y = 0.775f; exp_vec[4].z = 0.8875f;
734 exp_vec[5].x = 0.659091f; exp_vec[5].y = 0.772727f; exp_vec[5].z = 0.886364f;
735 D3DXVec3TransformCoordArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
736 compare_vectors(exp_vec, out_vec);
738 /* D3DXVec3TransformNormalArray */
739 exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f; exp_vec[1].z = 35.0f;
740 exp_vec[2].x = 30.0f; exp_vec[2].y = 36.0f; exp_vec[2].z = 42.0f;
741 exp_vec[3].x = 35.0f; exp_vec[3].y = 42.0f; exp_vec[3].z = 49.0f;
742 exp_vec[4].x = 40.0f; exp_vec[4].y = 48.0f; exp_vec[4].z = 56.0f;
743 exp_vec[5].x = 45.0f; exp_vec[5].y = 54.0f; exp_vec[5].z = 63.0f;
744 D3DXVec3TransformNormalArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
745 compare_vectors(exp_vec, out_vec);
747 /* D3DXVec3ProjectArray */
748 exp_vec[1].x = 1089.554199f; exp_vec[1].y = -226.590622f; exp_vec[1].z = 0.215273f;
749 exp_vec[2].x = 1068.903320f; exp_vec[2].y = 103.085129f; exp_vec[2].z = 0.183050f;
750 exp_vec[3].x = 1051.778931f; exp_vec[3].y = 376.462250f; exp_vec[3].z = 0.156329f;
751 exp_vec[4].x = 1037.348877f; exp_vec[4].y = 606.827393f; exp_vec[4].z = 0.133813f;
752 exp_vec[5].x = 1025.023560f; exp_vec[5].y = 803.591248f; exp_vec[5].z = 0.114581f;
753 D3DXVec3ProjectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
754 compare_vectors(exp_vec, out_vec);
756 /* D3DXVec3UnprojectArray */
757 exp_vec[1].x = -6.124031f; exp_vec[1].y = 3.225360f; exp_vec[1].z = 0.620571f;
758 exp_vec[2].x = -3.807109f; exp_vec[2].y = 2.046579f; exp_vec[2].z = 0.446894f;
759 exp_vec[3].x = -2.922839f; exp_vec[3].y = 1.596689f; exp_vec[3].z = 0.380609f;
760 exp_vec[4].x = -2.456225f; exp_vec[4].y = 1.359290f; exp_vec[4].z = 0.345632f;
761 exp_vec[5].x = -2.167897f; exp_vec[5].y = 1.212597f; exp_vec[5].z = 0.324019f;
762 D3DXVec3UnprojectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
763 compare_vectors(exp_vec, out_vec);
765 /* D3DXVec2TransformArray */
766 exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
767 exp_vec[2].x = 34.0f; exp_vec[2].y = 40.0f; exp_vec[2].z = 46.0f; exp_vec[2].w = 52.0f;
768 exp_vec[3].x = 30.0f; exp_vec[3].y = 36.0f; exp_vec[3].z = 42.0f; exp_vec[3].w = 48.0f;
769 exp_vec[4].x = 26.0f; exp_vec[4].y = 32.0f; exp_vec[4].z = 38.0f; exp_vec[4].w = 44.0f;
770 exp_vec[5].x = 22.0f; exp_vec[5].y = 28.0f; exp_vec[5].z = 34.0f; exp_vec[5].w = 40.0f;
771 D3DXVec2TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
772 compare_vectors(exp_vec, out_vec);
774 /* D3DXVec3TransformArray */
775 exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
776 exp_vec[2].x = 43.0f; exp_vec[2].y = 50.0f; exp_vec[2].z = 57.0f; exp_vec[2].w = 64.0f;
777 exp_vec[3].x = 48.0f; exp_vec[3].y = 56.0f; exp_vec[3].z = 64.0f; exp_vec[3].w = 72.0f;
778 exp_vec[4].x = 53.0f; exp_vec[4].y = 62.0f; exp_vec[4].z = 71.0f; exp_vec[4].w = 80.0f;
779 exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f; exp_vec[5].z = 78.0f; exp_vec[5].w = 88.0f;
780 D3DXVec3TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
781 compare_vectors(exp_vec, out_vec);
783 /* D3DXVec4TransformArray */
784 exp_vec[1].x = 90.0f; exp_vec[1].y = 100.0f; exp_vec[1].z = 110.0f; exp_vec[1].w = 120.0f;
785 exp_vec[2].x = 82.0f; exp_vec[2].y = 92.0f; exp_vec[2].z = 102.0f; exp_vec[2].w = 112.0f;
786 exp_vec[3].x = 74.0f; exp_vec[3].y = 84.0f; exp_vec[3].z = 94.0f; exp_vec[3].w = 104.0f;
787 exp_vec[4].x = 66.0f; exp_vec[4].y = 76.0f; exp_vec[4].z = 86.0f; exp_vec[4].w = 96.0f;
788 exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f; exp_vec[5].z = 78.0f; exp_vec[5].w = 88.0f;
789 D3DXVec4TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
790 compare_vectors(exp_vec, out_vec);
792 /* D3DXPlaneTransformArray */
793 exp_plane[1].a = 90.0f; exp_plane[1].b = 100.0f; exp_plane[1].c = 110.0f; exp_plane[1].d = 120.0f;
794 exp_plane[2].a = 82.0f; exp_plane[2].b = 92.0f; exp_plane[2].c = 102.0f; exp_plane[2].d = 112.0f;
795 exp_plane[3].a = 74.0f; exp_plane[3].b = 84.0f; exp_plane[3].c = 94.0f; exp_plane[3].d = 104.0f;
796 exp_plane[4].a = 66.0f; exp_plane[4].b = 76.0f; exp_plane[4].c = 86.0f; exp_plane[4].d = 96.0f;
797 exp_plane[5].a = 58.0f; exp_plane[5].b = 68.0f; exp_plane[5].c = 78.0f; exp_plane[5].d = 88.0f;
798 D3DXPlaneTransformArray(out_plane + 1, sizeof(D3DXPLANE), inp_plane, sizeof(D3DXPLANE), &mat, ARRAY_SIZE);
799 compare_planes(exp_plane, out_plane);
802 START_TEST(math)
804 test_Matrix_AffineTransformation2D();
805 test_Matrix_Decompose();
806 test_Matrix_Transformation2D();
807 test_D3DXVec_Array();