dlls/d3dx9_36/tests/math.c

   1 /*
   2  * Copyright 2008 David Adam
   3  * Copyright 2008 Philip Nilsson
   4  *
   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.
   9  *
  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.
  14  *
  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
  18  */
  19
  20 #include "wine/test.h"
  21 #include "d3dx9.h"
  22
  23 #define ARRAY_SIZE 5
  24
  25 #define admitted_error 0.0001f
  26
  27 #define relative_error(exp, out) ((exp == out) ? 0.0f : (fabs(out - exp) / fabs(exp)))
  28
  29 static inline BOOL compare_matrix(const D3DXMATRIX *m1, const D3DXMATRIX *m2)
  30 {
  31     int i, j;
  32
  33     for (i = 0; i < 4; ++i)
  34     {
  35         for (j = 0; j < 4; ++j)
  36         {
  37             if (fabs(U(*m1).m[i][j] - U(*m2).m[i][j]) > admitted_error)
  38                 return FALSE;
  39         }
  40     }
  41
  42     return TRUE;
  43 }
  44
  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)
  60
  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)
  69
  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)
  77
  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)
  85
  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); \
  96     }
  97
  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); \
 108     }
 109
 110 /* The mathematical properties are checked in the d3dx8 testsuite.
 111  *
 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.
 116  *
 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).
 122  */
 123
 124 static void test_Matrix_AffineTransformation2D(void)
 125 {
 126     D3DXMATRIX exp_mat, got_mat;
 127     D3DXVECTOR2 center, position;
 128     FLOAT angle, scale;
 129
 130     center.x = 3.0f;
 131     center.y = 4.0f;
 132
 133     position.x = -6.0f;
 134     position.y = 7.0f;
 135
 136     angle = D3DX_PI/3.0f;
 137
 138     scale = 20.0f;
 139
 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] = 1.0f;
 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;
 156
 157     D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, &position);
 158
 159     expect_mat(&exp_mat, &got_mat);
 160
 161 /*______________*/
 162
 163     center.x = 3.0f;
 164     center.y = 4.0f;
 165
 166     angle = D3DX_PI/3.0f;
 167
 168     scale = 20.0f;
 169
 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] = 1.0f;
 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;
 186
 187     D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, NULL);
 188
 189     expect_mat(&exp_mat, &got_mat);
 190
 191 /*______________*/
 192
 193     position.x = -6.0f;
 194     position.y = 7.0f;
 195
 196     angle = D3DX_PI/3.0f;
 197
 198     scale = 20.0f;
 199
 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] = 1.0f;
 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;
 216
 217     D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, &position);
 218
 219     expect_mat(&exp_mat, &got_mat);
 220
 221 /*______________*/
 222
 223     angle = 5.0f * D3DX_PI/4.0f;
 224
 225     scale = -20.0f;
 226
 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] = 1.0f;
 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;
 243
 244     D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, NULL);
 245
 246     expect_mat(&exp_mat, &got_mat);
 247 }
 248
 249 static void test_Matrix_Decompose(void)
 250 {
 251     D3DXMATRIX pm;
 252     D3DXQUATERNION exp_rotation, got_rotation;
 253     D3DXVECTOR3 exp_scale, got_scale, exp_translation, got_translation;
 254     HRESULT hr;
 255
 256 /*___________*/
 257
 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;
 274
 275     exp_scale.x = 1.0f;
 276     exp_scale.y = 1.0f;
 277     exp_scale.z = 1.0f;
 278
 279     exp_rotation.w = 0.195091f;
 280     exp_rotation.x = 0.0f;
 281     exp_rotation.y = 0.693520f;
 282     exp_rotation.z = 0.693520f;
 283
 284     exp_translation.x = -5.0f;
 285     exp_translation.y = 0.0f;
 286     exp_translation.z = 10.0f;
 287
 288     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 289
 290     compare_scale(exp_scale, got_scale);
 291     compare_rotation(exp_rotation, got_rotation);
 292     compare_translation(exp_translation, got_translation);
 293
 294 /*_________*/
 295
 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;
 312
 313     exp_scale.x = 3.0f;
 314     exp_scale.y = 3.0f;
 315     exp_scale.z = 3.0f;
 316
 317     exp_rotation.w = 0.0;
 318     exp_rotation.x = 0.352180f;
 319     exp_rotation.y = 0.616316f;
 320     exp_rotation.z = 0.704361f;
 321
 322     exp_translation.x = 1.0f;
 323     exp_translation.y = 2.0f;
 324     exp_translation.z = 3.0f;
 325
 326     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 327
 328     compare_scale(exp_scale, got_scale);
 329     compare_rotation(exp_rotation, got_rotation);
 330     compare_translation(exp_translation, got_translation);
 331
 332 /*_____________*/
 333
 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;
 350
 351     exp_scale.x = 3.0f;
 352     exp_scale.y = 3.0f;
 353     exp_scale.z = 3.0f;
 354
 355     exp_rotation.w = 0.951057f;
 356     exp_rotation.x = 0.0f;
 357     exp_rotation.y = 0.309017f;
 358     exp_rotation.z = 0.0f;
 359
 360     exp_translation.x = 5.0f;
 361     exp_translation.y = 5.0f;
 362     exp_translation.z = 5.0f;
 363
 364     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 365
 366     compare_scale(exp_scale, got_scale);
 367     compare_rotation(exp_rotation, got_rotation);
 368     compare_translation(exp_translation, got_translation);
 369
 370 /*_____________*/
 371
 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;
 388
 389     exp_scale.x = 1.0f;
 390     exp_scale.y = 1.0f;
 391     exp_scale.z = 1.0f;
 392
 393     exp_rotation.w = 0.195091f;
 394     exp_rotation.x = 0.0f;
 395     exp_rotation.y = 0.693520f;
 396     exp_rotation.z = 0.693520f;
 397
 398     exp_translation.x = -5.0f;
 399     exp_translation.y = 0.0f;
 400     exp_translation.z = 10.0f;
 401
 402     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 403
 404     compare_scale(exp_scale, got_scale);
 405     compare_rotation(exp_rotation, got_rotation);
 406     compare_translation(exp_translation, got_translation);
 407
 408 /*__________*/
 409
 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;
 426
 427     exp_scale.x = 1.0f;
 428     exp_scale.y = 2.0f;
 429     exp_scale.z = 3.0f;
 430
 431     exp_rotation.w = 0.195091f;
 432     exp_rotation.x = 0.0f;
 433     exp_rotation.y = 0.693520f;
 434     exp_rotation.z = 0.693520f;
 435
 436     exp_translation.x = -5.0f;
 437     exp_translation.y = 0.0f;
 438     exp_translation.z = 10.0f;
 439
 440     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 441
 442     compare_scale(exp_scale, got_scale);
 443     compare_rotation(exp_rotation, got_rotation);
 444     compare_translation(exp_translation, got_translation);
 445
 446 /*__________*/
 447
 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;
 464
 465     exp_scale.x = 1.0f;
 466     exp_scale.y = 1.0f;
 467     exp_scale.z = 1.0f;
 468
 469     exp_rotation.w = 0.195091f;
 470     exp_rotation.x = 0.905395f;
 471     exp_rotation.y = -0.323355f;
 472     exp_rotation.z = -0.194013f;
 473
 474     exp_translation.x = -5.0f;
 475     exp_translation.y = 0.0f;
 476     exp_translation.z = 10.0f;
 477
 478     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 479
 480     compare_scale(exp_scale, got_scale);
 481     compare_rotation(exp_rotation, got_rotation);
 482     compare_translation(exp_translation, got_translation);
 483
 484 /*_____________*/
 485
 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;
 502
 503     exp_scale.x = 1.0f;
 504     exp_scale.y = 1.0f;
 505     exp_scale.z = 1.0f;
 506
 507     exp_rotation.w = -0.195091f;
 508     exp_rotation.x = 0.703358f;
 509     exp_rotation.y = -0.586131f;
 510     exp_rotation.z = 0.351679f;
 511
 512     exp_translation.x = -5.0f;
 513     exp_translation.y = 0.0f;
 514     exp_translation.z = 10.0f;
 515
 516     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 517
 518     compare_scale(exp_scale, got_scale);
 519     compare_rotation(exp_rotation, got_rotation);
 520     compare_translation(exp_translation, got_translation);
 521
 522 /*_________*/
 523
 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;
 540
 541     exp_scale.x = 15.0f;
 542     exp_scale.y = 15.0f;
 543     exp_scale.z = 15.0f;
 544
 545     exp_rotation.w = 0.382684f;
 546     exp_rotation.x = 0.768714f;
 547     exp_rotation.y = 0.0f;
 548     exp_rotation.z = 0.512476f;
 549
 550     exp_translation.x = -5.0f;
 551     exp_translation.y = 0.0f;
 552     exp_translation.z = 2.0f;
 553
 554     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 555
 556     compare_scale(exp_scale, got_scale);
 557     compare_rotation(exp_rotation, got_rotation);
 558     compare_translation(exp_translation, got_translation);
 559
 560 /*__________*/
 561
 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;
 578
 579     hr = D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
 580     ok(hr == D3DERR_INVALIDCALL, "Expected D3DERR_INVALIDCALL, got %x\n", hr);
 581 }
 582
 583 static void test_Matrix_Transformation2D(void)
 584 {
 585     D3DXMATRIX exp_mat, got_mat;
 586     D3DXVECTOR2 rot_center, sca, sca_center, trans;
 587     FLOAT rot, sca_rot;
 588
 589     rot_center.x = 3.0f;
 590     rot_center.y = 4.0f;
 591
 592     sca.x = 12.0f;
 593     sca.y = -3.0f;
 594
 595     sca_center.x = 9.0f;
 596     sca_center.y = -5.0f;
 597
 598     trans.x = -6.0f;
 599     trans.y = 7.0f;
 600
 601     rot = D3DX_PI/3.0f;
 602
 603     sca_rot = 5.0f*D3DX_PI/4.0f;
 604
 605     U(exp_mat).m[0][0] = -4.245192f;
 606     U(exp_mat).m[1][0] = -0.147116f;
 607     U(exp_mat).m[2][0] = 0.0f;
 608     U(exp_mat).m[3][0] = 45.265373f;
 609     U(exp_mat).m[0][1] = 7.647113f;
 610     U(exp_mat).m[1][1] = 8.745192f;
 611     U(exp_mat).m[2][1] = 0.0f;
 612     U(exp_mat).m[3][1] = -13.401899f;
 613     U(exp_mat).m[0][2] = 0.0f;
 614     U(exp_mat).m[1][2] = 0.0f;
 615     U(exp_mat).m[2][2] = 1.0f;
 616     U(exp_mat).m[3][2] = 0.0f;
 617     U(exp_mat).m[0][3] = 0.0f;
 618     U(exp_mat).m[1][3] = 0.0f;
 619     U(exp_mat).m[2][3] = 0.0f;
 620     U(exp_mat).m[3][3] = 1.0f;
 621
 622     D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, &sca, &rot_center, rot, &trans);
 623
 624     expect_mat(&exp_mat, &got_mat);
 625
 626 /*_________*/
 627
 628     sca_center.x = 9.0f;
 629     sca_center.y = -5.0f;
 630
 631     trans.x = -6.0f;
 632     trans.y = 7.0f;
 633
 634     rot = D3DX_PI/3.0f;
 635
 636     sca_rot = 5.0f*D3DX_PI/4.0f;
 637
 638     U(exp_mat).m[0][0] = 0.50f;
 639     U(exp_mat).m[1][0] = -0.866025f;
 640     U(exp_mat).m[2][0] = 0.0f;
 641     U(exp_mat).m[3][0] = -6.0f;
 642     U(exp_mat).m[0][1] = 0.866025f;
 643     U(exp_mat).m[1][1] = 0.50f;
 644     U(exp_mat).m[2][1] = 0.0f;
 645     U(exp_mat).m[3][1] = 7.0f;
 646     U(exp_mat).m[0][2] = 0.0f;
 647     U(exp_mat).m[1][2] = 0.0f;
 648     U(exp_mat).m[2][2] = 1.0f;
 649     U(exp_mat).m[3][2] = 0.0f;
 650     U(exp_mat).m[0][3] = 0.0f;
 651     U(exp_mat).m[1][3] = 0.0f;
 652     U(exp_mat).m[2][3] = 0.0f;
 653     U(exp_mat).m[3][3] = 1.0f;
 654
 655     D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, NULL, NULL, rot, &trans);
 656
 657     expect_mat(&exp_mat, &got_mat);
 658
 659 /*_________*/
 660
 661     U(exp_mat).m[0][0] = 0.50f;
 662     U(exp_mat).m[1][0] = -0.866025f;
 663     U(exp_mat).m[2][0] = 0.0f;
 664     U(exp_mat).m[3][0] = 0.0f;
 665     U(exp_mat).m[0][1] = 0.866025f;
 666     U(exp_mat).m[1][1] = 0.50f;
 667     U(exp_mat).m[2][1] = 0.0f;
 668     U(exp_mat).m[3][1] = 0.0f;
 669     U(exp_mat).m[0][2] = 0.0f;
 670     U(exp_mat).m[1][2] = 0.0f;
 671     U(exp_mat).m[2][2] = 1.0f;
 672     U(exp_mat).m[3][2] = 0.0f;
 673     U(exp_mat).m[0][3] = 0.0f;
 674     U(exp_mat).m[1][3] = 0.0f;
 675     U(exp_mat).m[2][3] = 0.0f;
 676     U(exp_mat).m[3][3] = 1.0f;
 677
 678     D3DXMatrixTransformation2D(&got_mat, NULL, sca_rot, NULL, NULL, rot, NULL);
 679
 680     expect_mat(&exp_mat, &got_mat);
 681 }
 682
 683 static void test_D3DXVec_Array(void)
 684 {
 685     unsigned int i;
 686     D3DVIEWPORT9 viewport;
 687     D3DXMATRIX mat, projection, view, world;
 688     D3DXVECTOR4 inp_vec[ARRAY_SIZE];
 689     D3DXVECTOR4 out_vec[ARRAY_SIZE + 2];
 690     D3DXVECTOR4 exp_vec[ARRAY_SIZE + 2];
 691     D3DXPLANE inp_plane[ARRAY_SIZE];
 692     D3DXPLANE out_plane[ARRAY_SIZE + 2];
 693     D3DXPLANE exp_plane[ARRAY_SIZE + 2];
 694
 695     viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
 696     viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;
 697
 698     for (i = 0; i < ARRAY_SIZE + 2; ++i) {
 699         out_vec[i].x = out_vec[i].y = out_vec[i].z = out_vec[i].w = 0.0f;
 700         exp_vec[i].x = exp_vec[i].y = exp_vec[i].z = exp_vec[i].w = 0.0f;
 701         out_plane[i].a = out_plane[i].b = out_plane[i].c = out_plane[i].d = 0.0f;
 702         exp_plane[i].a = exp_plane[i].b = exp_plane[i].c = exp_plane[i].d = 0.0f;
 703     }
 704
 705     for (i = 0; i < ARRAY_SIZE; ++i) {
 706         inp_plane[i].a = inp_plane[i].c = inp_vec[i].x = inp_vec[i].z = i;
 707         inp_plane[i].b = inp_plane[i].d = inp_vec[i].y = inp_vec[i].w = ARRAY_SIZE - i;
 708     }
 709
 710     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;
 711     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;
 712     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;
 713     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;
 714
 715     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
 716
 717     U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
 718     U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
 719     U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
 720     U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
 721     U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
 722     U(view).m[3][3] = -40.0f;
 723
 724     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;
 725     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;
 726     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;
 727     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;
 728
 729     /* D3DXVec2TransformCoordArray */
 730     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;
 731     exp_vec[2].x = 0.653846f; exp_vec[2].y = 0.769231f;
 732     exp_vec[3].x = 0.625f;    exp_vec[3].y = 0.75f;
 733     exp_vec[4].x = 0.590909f; exp_vec[4].y = 8.0f/11.0f;
 734     exp_vec[5].x = 0.55f;     exp_vec[5].y = 0.7f;
 735     D3DXVec2TransformCoordArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 736     compare_vectors(exp_vec, out_vec);
 737
 738     /* D3DXVec2TransformNormalArray */
 739     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f;
 740     exp_vec[2].x = 21.0f; exp_vec[2].y = 26.0f;
 741     exp_vec[3].x = 17.0f; exp_vec[3].y = 22.0f;
 742     exp_vec[4].x = 13.0f; exp_vec[4].y = 18.0f;
 743     exp_vec[5].x =  9.0f; exp_vec[5].y = 14.0f;
 744     D3DXVec2TransformNormalArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 745     compare_vectors(exp_vec, out_vec);
 746
 747     /* D3DXVec3TransformCoordArray */
 748     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;  exp_vec[1].z = 0.892857f;
 749     exp_vec[2].x = 0.671875f; exp_vec[2].y = 0.78125f;   exp_vec[2].z = 0.890625f;
 750     exp_vec[3].x = 6.0f/9.0f; exp_vec[3].y = 7.0f/9.0f;  exp_vec[3].z = 8.0f/9.0f;
 751     exp_vec[4].x = 0.6625f;   exp_vec[4].y = 0.775f;     exp_vec[4].z = 0.8875f;
 752     exp_vec[5].x = 0.659091f; exp_vec[5].y = 0.772727f;  exp_vec[5].z = 0.886364f;
 753     D3DXVec3TransformCoordArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 754     compare_vectors(exp_vec, out_vec);
 755
 756     /* D3DXVec3TransformNormalArray */
 757     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f; exp_vec[1].z = 35.0f;
 758     exp_vec[2].x = 30.0f; exp_vec[2].y = 36.0f; exp_vec[2].z = 42.0f;
 759     exp_vec[3].x = 35.0f; exp_vec[3].y = 42.0f; exp_vec[3].z = 49.0f;
 760     exp_vec[4].x = 40.0f; exp_vec[4].y = 48.0f; exp_vec[4].z = 56.0f;
 761     exp_vec[5].x = 45.0f; exp_vec[5].y = 54.0f; exp_vec[5].z = 63.0f;
 762     D3DXVec3TransformNormalArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 763     compare_vectors(exp_vec, out_vec);
 764
 765     /* D3DXVec3ProjectArray */
 766     exp_vec[1].x = 1089.554199f; exp_vec[1].y = -226.590622f; exp_vec[1].z = 0.215273f;
 767     exp_vec[2].x = 1068.903320f; exp_vec[2].y =  103.085129f; exp_vec[2].z = 0.183050f;
 768     exp_vec[3].x = 1051.778931f; exp_vec[3].y =  376.462250f; exp_vec[3].z = 0.156329f;
 769     exp_vec[4].x = 1037.348877f; exp_vec[4].y =  606.827393f; exp_vec[4].z = 0.133813f;
 770     exp_vec[5].x = 1025.023560f; exp_vec[5].y =  803.591248f; exp_vec[5].z = 0.114581f;
 771     D3DXVec3ProjectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
 772     compare_vectors(exp_vec, out_vec);
 773
 774     /* D3DXVec3UnprojectArray */
 775     exp_vec[1].x = -6.124031f; exp_vec[1].y = 3.225360f; exp_vec[1].z = 0.620571f;
 776     exp_vec[2].x = -3.807109f; exp_vec[2].y = 2.046579f; exp_vec[2].z = 0.446894f;
 777     exp_vec[3].x = -2.922839f; exp_vec[3].y = 1.596689f; exp_vec[3].z = 0.380609f;
 778     exp_vec[4].x = -2.456225f; exp_vec[4].y = 1.359290f; exp_vec[4].z = 0.345632f;
 779     exp_vec[5].x = -2.167897f; exp_vec[5].y = 1.212597f; exp_vec[5].z = 0.324019f;
 780     D3DXVec3UnprojectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
 781     compare_vectors(exp_vec, out_vec);
 782
 783     /* D3DXVec2TransformArray */
 784     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
 785     exp_vec[2].x = 34.0f; exp_vec[2].y = 40.0f; exp_vec[2].z = 46.0f; exp_vec[2].w = 52.0f;
 786     exp_vec[3].x = 30.0f; exp_vec[3].y = 36.0f; exp_vec[3].z = 42.0f; exp_vec[3].w = 48.0f;
 787     exp_vec[4].x = 26.0f; exp_vec[4].y = 32.0f; exp_vec[4].z = 38.0f; exp_vec[4].w = 44.0f;
 788     exp_vec[5].x = 22.0f; exp_vec[5].y = 28.0f; exp_vec[5].z = 34.0f; exp_vec[5].w = 40.0f;
 789     D3DXVec2TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 790     compare_vectors(exp_vec, out_vec);
 791
 792     /* D3DXVec3TransformArray */
 793     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
 794     exp_vec[2].x = 43.0f; exp_vec[2].y = 50.0f; exp_vec[2].z = 57.0f; exp_vec[2].w = 64.0f;
 795     exp_vec[3].x = 48.0f; exp_vec[3].y = 56.0f; exp_vec[3].z = 64.0f; exp_vec[3].w = 72.0f;
 796     exp_vec[4].x = 53.0f; exp_vec[4].y = 62.0f; exp_vec[4].z = 71.0f; exp_vec[4].w = 80.0f;
 797     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f; exp_vec[5].z = 78.0f; exp_vec[5].w = 88.0f;
 798     D3DXVec3TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 799     compare_vectors(exp_vec, out_vec);
 800
 801     /* D3DXVec4TransformArray */
 802     exp_vec[1].x = 90.0f; exp_vec[1].y = 100.0f; exp_vec[1].z = 110.0f; exp_vec[1].w = 120.0f;
 803     exp_vec[2].x = 82.0f; exp_vec[2].y = 92.0f;  exp_vec[2].z = 102.0f; exp_vec[2].w = 112.0f;
 804     exp_vec[3].x = 74.0f; exp_vec[3].y = 84.0f;  exp_vec[3].z = 94.0f;  exp_vec[3].w = 104.0f;
 805     exp_vec[4].x = 66.0f; exp_vec[4].y = 76.0f;  exp_vec[4].z = 86.0f;  exp_vec[4].w = 96.0f;
 806     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f;  exp_vec[5].z = 78.0f;  exp_vec[5].w = 88.0f;
 807     D3DXVec4TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
 808     compare_vectors(exp_vec, out_vec);
 809
 810     /* D3DXPlaneTransformArray */
 811     exp_plane[1].a = 90.0f; exp_plane[1].b = 100.0f; exp_plane[1].c = 110.0f; exp_plane[1].d = 120.0f;
 812     exp_plane[2].a = 82.0f; exp_plane[2].b = 92.0f;  exp_plane[2].c = 102.0f; exp_plane[2].d = 112.0f;
 813     exp_plane[3].a = 74.0f; exp_plane[3].b = 84.0f;  exp_plane[3].c = 94.0f;  exp_plane[3].d = 104.0f;
 814     exp_plane[4].a = 66.0f; exp_plane[4].b = 76.0f;  exp_plane[4].c = 86.0f;  exp_plane[4].d = 96.0f;
 815     exp_plane[5].a = 58.0f; exp_plane[5].b = 68.0f;  exp_plane[5].c = 78.0f;  exp_plane[5].d = 88.0f;
 816     D3DXPlaneTransformArray(out_plane + 1, sizeof(D3DXPLANE), inp_plane, sizeof(D3DXPLANE), &mat, ARRAY_SIZE);
 817     compare_planes(exp_plane, out_plane);
 818 }
 819
 820 START_TEST(math)
 821 {
 822     test_Matrix_AffineTransformation2D();
 823     test_Matrix_Decompose();
 824     test_Matrix_Transformation2D();
 825     test_D3DXVec_Array();
 826 }