git.oblomov.eu Git - wine/blob - dlls/d3dx9_36/tests/math.c

   1 /*
   2  * Copyright 2008 David Adam
   3  * Copyright 2008 Luis Busquets
   4  * Copyright 2008 Philip Nilsson
   5  * Copyright 2008 Henri Verbeet
   6  *
   7  * This library is free software; you can redistribute it and/or
   8  * modify it under the terms of the GNU Lesser General Public
   9  * License as published by the Free Software Foundation; either
  10  * version 2.1 of the License, or (at your option) any later version.
  11  *
  12  * This library is distributed in the hope that it will be useful,
  13  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  14  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  15  * Lesser General Public License for more details.
  16  *
  17  * You should have received a copy of the GNU Lesser General Public
  18  * License along with this library; if not, write to the Free Software
  19  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  20  */
  21
  22 #include "wine/test.h"
  23 #include "d3dx9.h"
  24
  25 #define ARRAY_SIZE 5
  26
  27 #define admitted_error 0.0001f
  28
  29 #define relative_error(exp, out) ((exp == 0.0f) ? fabs(exp - out) : (fabs(1.0f - out/ exp) ))
  30
  31 #define expect_color(expectedcolor,gotcolor) ok((relative_error(expectedcolor.r, gotcolor.r)<admitted_error)&&(relative_error(expectedcolor.g, gotcolor.g)<admitted_error)&&(relative_error(expectedcolor.b, gotcolor.b)<admitted_error)&&(relative_error(expectedcolor.a, gotcolor.a)<admitted_error),"Expected Color= (%f, %f, %f, %f)\n , Got Color= (%f, %f, %f, %f)\n", expectedcolor.r, expectedcolor.g, expectedcolor.b, expectedcolor.a, gotcolor.r, gotcolor.g, gotcolor.b, gotcolor.a);
  32
  33 static inline BOOL compare_matrix(const D3DXMATRIX *m1, const D3DXMATRIX *m2)
  34 {
  35     int i, j;
  36
  37     for (i = 0; i < 4; ++i)
  38     {
  39         for (j = 0; j < 4; ++j)
  40         {
  41             if (relative_error(U(*m1).m[i][j], U(*m2).m[i][j]) > admitted_error)
  42                 return FALSE;
  43         }
  44     }
  45
  46     return TRUE;
  47 }
  48
  49 #define expect_mat(expectedmat, gotmat) \
  50 do { \
  51     const D3DXMATRIX *__m1 = (expectedmat); \
  52     const D3DXMATRIX *__m2 = (gotmat); \
  53     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" \
  54             "Got matrix=\n(%f,%f,%f,%f\n %f,%f,%f,%f\n %f,%f,%f,%f\n %f,%f,%f,%f)\n", \
  55             U(*__m1).m[0][0], U(*__m1).m[0][1], U(*__m1).m[0][2], U(*__m1).m[0][3], \
  56             U(*__m1).m[1][0], U(*__m1).m[1][1], U(*__m1).m[1][2], U(*__m1).m[1][3], \
  57             U(*__m1).m[2][0], U(*__m1).m[2][1], U(*__m1).m[2][2], U(*__m1).m[2][3], \
  58             U(*__m1).m[3][0], U(*__m1).m[3][1], U(*__m1).m[3][2], U(*__m1).m[3][3], \
  59             U(*__m2).m[0][0], U(*__m2).m[0][1], U(*__m2).m[0][2], U(*__m2).m[0][3], \
  60             U(*__m2).m[1][0], U(*__m2).m[1][1], U(*__m2).m[1][2], U(*__m2).m[1][3], \
  61             U(*__m2).m[2][0], U(*__m2).m[2][1], U(*__m2).m[2][2], U(*__m2).m[2][3], \
  62             U(*__m2).m[3][0], U(*__m2).m[3][1], U(*__m2).m[3][2], U(*__m2).m[3][3]); \
  63 } while(0)
  64
  65 #define compare_rotation(exp, got) \
  66     ok(relative_error(exp.w, got.w) < admitted_error && \
  67        relative_error(exp.x, got.x) < admitted_error && \
  68        relative_error(exp.y, got.y) < admitted_error && \
  69        relative_error(exp.z, got.z) < admitted_error, \
  70        "Expected rotation = (%f, %f, %f, %f), \
  71         got rotation = (%f, %f, %f, %f)\n", \
  72         exp.w, exp.x, exp.y, exp.z, got.w, got.x, got.y, got.z)
  73
  74 #define compare_scale(exp, got) \
  75     ok(relative_error(exp.x, got.x) < admitted_error && \
  76        relative_error(exp.y, got.y) < admitted_error && \
  77        relative_error(exp.z, got.z) < admitted_error, \
  78        "Expected scale = (%f, %f, %f), \
  79         got scale = (%f, %f, %f)\n", \
  80         exp.x, exp.y, exp.z, got.x, got.y, got.z)
  81
  82 #define compare_translation(exp, got) \
  83     ok(relative_error(exp.x, got.x) < admitted_error && \
  84        relative_error(exp.y, got.y) < admitted_error && \
  85        relative_error(exp.z, got.z) < admitted_error, \
  86        "Expected translation = (%f, %f, %f), \
  87         got translation = (%f, %f, %f)\n", \
  88         exp.x, exp.y, exp.z, got.x, got.y, got.z)
  89
  90 #define compare_vectors(exp, out) \
  91     for (i = 0; i < ARRAY_SIZE + 2; ++i) { \
  92         ok(relative_error(exp[i].x, out[i].x) < admitted_error && \
  93            relative_error(exp[i].y, out[i].y) < admitted_error && \
  94            relative_error(exp[i].z, out[i].z) < admitted_error && \
  95            relative_error(exp[i].w, out[i].w) < admitted_error, \
  96             "Got (%f, %f, %f, %f), expected (%f, %f, %f, %f) for index %d.\n", \
  97             out[i].x, out[i].y, out[i].z, out[i].w, \
  98             exp[i].x, exp[i].y, exp[i].z, exp[i].w, \
  99             i); \
 100     }
 101
 102 #define compare_planes(exp, out) \
 103     for (i = 0; i < ARRAY_SIZE + 2; ++i) { \
 104         ok(relative_error(exp[i].a, out[i].a) < admitted_error && \
 105            relative_error(exp[i].b, out[i].b) < admitted_error && \
 106            relative_error(exp[i].c, out[i].c) < admitted_error && \
 107            relative_error(exp[i].d, out[i].d) < admitted_error, \
 108             "Got (%f, %f, %f, %f), expected (%f, %f, %f, %f) for index %d.\n", \
 109             out[i].a, out[i].b, out[i].c, out[i].d, \
 110             exp[i].a, exp[i].b, exp[i].c, exp[i].d, \
 111             i); \
 112     }
 113
 114 #define expect_plane(expectedplane,gotplane) ok((relative_error(expectedplane.a, gotplane.a)<admitted_error)&&(relative_error(expectedplane.b, gotplane.b)<admitted_error)&&(relative_error(expectedplane.c, gotplane.c)<admitted_error)&&(relative_error(expectedplane.d, gotplane.d)<admitted_error),"Expected Plane= (%f, %f, %f, %f)\n , Got Plane= (%f, %f, %f, %f)\n", expectedplane.a, expectedplane.b, expectedplane.c, expectedplane.d, gotplane.a, gotplane.b, gotplane.c, gotplane.d);
 115
 116 #define expect_vec(expectedvec,gotvec) ok((relative_error(expectedvec.x, gotvec.x)<admitted_error)&&(relative_error(expectedvec.y, gotvec.y)<admitted_error),"Expected Vector= (%f, %f)\n , Got Vector= (%f, %f)\n", expectedvec.x, expectedvec.y, gotvec.x, gotvec.y);
 117
 118 #define expect_vec3(expectedvec,gotvec) ok((relative_error(expectedvec.x, gotvec.x)<admitted_error)&&(relative_error(expectedvec.y, gotvec.y)<admitted_error)&&(relative_error(expectedvec.z, gotvec.z)<admitted_error),"Expected Vector= (%f, %f, %f)\n , Got Vector= (%f, %f, %f)\n", expectedvec.x, expectedvec.y, expectedvec.z, gotvec.x, gotvec.y, gotvec.z);
 119
 120 #define expect_vec4(expectedvec,gotvec) ok((relative_error(expectedvec.x, gotvec.x)<admitted_error)&&(relative_error(expectedvec.y, gotvec.y)<admitted_error)&&(relative_error(expectedvec.z, gotvec.z)<admitted_error)&&(relative_error(expectedvec.w, gotvec.w)<admitted_error),"Expected Vector= (%f, %f, %f, %f)\n , Got Vector= (%f, %f, %f, %f)\n", expectedvec.x, expectedvec.y, expectedvec.z, expectedvec.w, gotvec.x, gotvec.y, gotvec.z, gotvec.w);
 121
 122
 123 static void D3DXColorTest(void)
 124 {
 125     D3DXCOLOR color, color1, color2, expected, got;
 126     LPD3DXCOLOR funcpointer;
 127     FLOAT scale;
 128
 129     color.r = 0.2f; color.g = 0.75f; color.b = 0.41f; color.a = 0.93f;
 130     color1.r = 0.6f; color1.g = 0.55f; color1.b = 0.23f; color1.a = 0.82f;
 131     color2.r = 0.3f; color2.g = 0.5f; color2.b = 0.76f; color2.a = 0.11f;
 132
 133     scale = 0.3f;
 134
 135 /*_______________D3DXColorAdd________________*/
 136     expected.r = 0.9f; expected.g = 1.05f; expected.b = 0.99f, expected.a = 0.93f;
 137     D3DXColorAdd(&got,&color1,&color2);
 138     expect_color(expected,got);
 139     /* Test the NULL case */
 140     funcpointer = D3DXColorAdd(&got,NULL,&color2);
 141     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 142     funcpointer = D3DXColorAdd(NULL,NULL,&color2);
 143     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 144     funcpointer = D3DXColorAdd(NULL,NULL,NULL);
 145     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 146
 147 /*_______________D3DXColorAdjustContrast______*/
 148     expected.r = 0.41f; expected.g = 0.575f; expected.b = 0.473f, expected.a = 0.93f;
 149     D3DXColorAdjustContrast(&got,&color,scale);
 150     expect_color(expected,got);
 151
 152 /*_______________D3DXColorAdjustSaturation______*/
 153     expected.r = 0.486028f; expected.g = 0.651028f; expected.b = 0.549028f, expected.a = 0.93f;
 154     D3DXColorAdjustSaturation(&got,&color,scale);
 155     expect_color(expected,got);
 156
 157 /*_______________D3DXColorLerp________________*/
 158     expected.r = 0.32f; expected.g = 0.69f; expected.b = 0.356f; expected.a = 0.897f;
 159     D3DXColorLerp(&got,&color,&color1,scale);
 160     expect_color(expected,got);
 161     /* Test the NULL case */
 162     funcpointer = D3DXColorLerp(&got,NULL,&color1,scale);
 163     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 164     funcpointer = D3DXColorLerp(NULL,NULL,&color1,scale);
 165     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 166     funcpointer = D3DXColorLerp(NULL,NULL,NULL,scale);
 167     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 168
 169 /*_______________D3DXColorModulate________________*/
 170     expected.r = 0.18f; expected.g = 0.275f; expected.b = 0.1748f; expected.a = 0.0902f;
 171     D3DXColorModulate(&got,&color1,&color2);
 172     expect_color(expected,got);
 173     /* Test the NULL case */
 174     funcpointer = D3DXColorModulate(&got,NULL,&color2);
 175     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 176     funcpointer = D3DXColorModulate(NULL,NULL,&color2);
 177     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 178     funcpointer = D3DXColorModulate(NULL,NULL,NULL);
 179     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 180
 181 /*_______________D3DXColorNegative________________*/
 182     expected.r = 0.8f; expected.g = 0.25f; expected.b = 0.59f; expected.a = 0.93f;
 183     D3DXColorNegative(&got,&color);
 184     expect_color(got,expected);
 185     /* Test the greater than 1 case */
 186     color1.r = 0.2f; color1.g = 1.75f; color1.b = 0.41f; color1.a = 0.93f;
 187     expected.r = 0.8f; expected.g = -0.75f; expected.b = 0.59f; expected.a = 0.93f;
 188     D3DXColorNegative(&got,&color1);
 189     expect_color(got,expected);
 190     /* Test the negative case */
 191     color1.r = 0.2f; color1.g = -0.75f; color1.b = 0.41f; color1.a = 0.93f;
 192     expected.r = 0.8f; expected.g = 1.75f; expected.b = 0.59f; expected.a = 0.93f;
 193     D3DXColorNegative(&got,&color1);
 194     expect_color(got,expected);
 195     /* Test the NULL case */
 196     funcpointer = D3DXColorNegative(&got,NULL);
 197     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 198     funcpointer = D3DXColorNegative(NULL,NULL);
 199     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 200
 201 /*_______________D3DXColorScale________________*/
 202     expected.r = 0.06f; expected.g = 0.225f; expected.b = 0.123f; expected.a = 0.279f;
 203     D3DXColorScale(&got,&color,scale);
 204     expect_color(expected,got);
 205     /* Test the NULL case */
 206     funcpointer = D3DXColorScale(&got,NULL,scale);
 207     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 208     funcpointer = D3DXColorScale(NULL,NULL,scale);
 209     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 210
 211 /*_______________D3DXColorSubtract_______________*/
 212     expected.r = -0.1f; expected.g = 0.25f; expected.b = -0.35f, expected.a = 0.82f;
 213     D3DXColorSubtract(&got,&color,&color2);
 214     expect_color(expected,got);
 215     /* Test the NULL case */
 216     funcpointer = D3DXColorSubtract(&got,NULL,&color2);
 217     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 218     funcpointer = D3DXColorSubtract(NULL,NULL,&color2);
 219     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 220     funcpointer = D3DXColorSubtract(NULL,NULL,NULL);
 221     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 222 }
 223
 224 static void D3DXFresnelTest(void)
 225 {
 226     FLOAT expected, got;
 227
 228     expected = 0.089187;
 229     got = D3DXFresnelTerm(0.5f,1.5);
 230     ok(relative_error(got, expected) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 231 }
 232
 233 static void D3DXMatrixTest(void)
 234 {
 235     D3DXMATRIX expectedmat, gotmat, mat, mat2, mat3;
 236     LPD3DXMATRIX funcpointer;
 237     D3DXPLANE plane;
 238     D3DXQUATERNION q, r;
 239     D3DXVECTOR3 at, axis, eye, last;
 240     D3DXVECTOR4 light;
 241     BOOL expected, got;
 242     FLOAT angle, determinant, expectedfloat, gotfloat;
 243
 244     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 245     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 246     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 247     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 248     U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
 249     U(mat).m[3][3] = -40.0f;
 250
 251     U(mat2).m[0][0] = 1.0f; U(mat2).m[1][0] = 2.0f; U(mat2).m[2][0] = 3.0f;
 252     U(mat2).m[3][0] = 4.0f; U(mat2).m[0][1] = 5.0f; U(mat2).m[1][1] = 6.0f;
 253     U(mat2).m[2][1] = 7.0f; U(mat2).m[3][1] = 8.0f; U(mat2).m[0][2] = -8.0f;
 254     U(mat2).m[1][2] = -7.0f; U(mat2).m[2][2] = -6.0f; U(mat2).m[3][2] = -5.0f;
 255     U(mat2).m[0][3] = -4.0f; U(mat2).m[1][3] = -3.0f; U(mat2).m[2][3] = -2.0f;
 256     U(mat2).m[3][3] = -1.0f;
 257
 258     plane.a = -3.0f; plane.b = -1.0f; plane.c = 4.0f; plane.d = 7.0f;
 259
 260     q.x = 1.0f; q.y = -4.0f; q.z =7.0f; q.w = -11.0f;
 261     r.x = 0.87f; r.y = 0.65f; r.z =0.43f; r.w= 0.21f;
 262
 263     at.x = -2.0f; at.y = 13.0f; at.z = -9.0f;
 264     axis.x = 1.0f; axis.y = -3.0f; axis.z = 7.0f;
 265     eye.x = 8.0f; eye.y = -5.0f; eye.z = 5.75f;
 266     last.x = 9.7f; last.y = -8.6; last.z = 1.3f;
 267
 268     light.x = 9.6f; light.y = 8.5f; light.z = 7.4; light.w = 6.3;
 269
 270     angle = D3DX_PI/3.0f;
 271
 272 /*____________D3DXMatrixAffineTransformation______*/
 273     U(expectedmat).m[0][0] = -459.239990f; U(expectedmat).m[0][1] = -576.719971f; U(expectedmat).m[0][2] = -263.440002f; U(expectedmat).m[0][3] = 0.0f;
 274     U(expectedmat).m[1][0] = 519.760010f; U(expectedmat).m[1][1] = -352.440002f; U(expectedmat).m[1][2] = -277.679993f; U(expectedmat).m[1][3] = 0.0f;
 275     U(expectedmat).m[2][0] = 363.119995f; U(expectedmat).m[2][1] = -121.040001f; U(expectedmat).m[2][2] = -117.479996f; U(expectedmat).m[2][3] = 0.0f;
 276     U(expectedmat).m[3][0] = -1239.0f; U(expectedmat).m[3][1] = 667.0f; U(expectedmat).m[3][2] = 567.0f; U(expectedmat).m[3][3] = 1.0f;
 277     D3DXMatrixAffineTransformation(&gotmat,3.56f,&at,&q,&axis);
 278     expect_mat(&expectedmat, &gotmat);
 279 /* Test the NULL case */
 280     U(expectedmat).m[0][0] = -459.239990f; U(expectedmat).m[0][1] = -576.719971f; U(expectedmat).m[0][2] = -263.440002f; U(expectedmat).m[0][3] = 0.0f;
 281     U(expectedmat).m[1][0] = 519.760010f; U(expectedmat).m[1][1] = -352.440002f; U(expectedmat).m[1][2] = -277.679993f; U(expectedmat).m[1][3] = 0.0f;
 282     U(expectedmat).m[2][0] = 363.119995f; U(expectedmat).m[2][1] = -121.040001f; U(expectedmat).m[2][2] = -117.479996f; U(expectedmat).m[2][3] = 0.0f;
 283     U(expectedmat).m[3][0] = 1.0f; U(expectedmat).m[3][1] = -3.0f; U(expectedmat).m[3][2] = 7.0f; U(expectedmat).m[3][3] = 1.0f;
 284     D3DXMatrixAffineTransformation(&gotmat,3.56f,NULL,&q,&axis);
 285     expect_mat(&expectedmat, &gotmat);
 286
 287 /*____________D3DXMatrixfDeterminant_____________*/
 288     expectedfloat = -147888.0f;
 289     gotfloat = D3DXMatrixDeterminant(&mat);
 290     ok(relative_error(gotfloat, expectedfloat ) < admitted_error, "Expected: %f, Got: %f\n", expectedfloat, gotfloat);
 291
 292 /*____________D3DXMatrixInverse______________*/
 293     U(expectedmat).m[0][0] = 16067.0f/73944.0f; U(expectedmat).m[0][1] = -10165.0f/147888.0f; U(expectedmat).m[0][2] = -2729.0f/147888.0f; U(expectedmat).m[0][3] = -1631.0f/49296.0f;
 294     U(expectedmat).m[1][0] = -565.0f/36972.0f; U(expectedmat).m[1][1] = 2723.0f/73944.0f; U(expectedmat).m[1][2] = -1073.0f/73944.0f; U(expectedmat).m[1][3] = 289.0f/24648.0f;
 295     U(expectedmat).m[2][0] = -389.0f/2054.0f; U(expectedmat).m[2][1] = 337.0f/4108.0f; U(expectedmat).m[2][2] = 181.0f/4108.0f; U(expectedmat).m[2][3] = 317.0f/4108.0f;
 296     U(expectedmat).m[3][0] = 163.0f/5688.0f; U(expectedmat).m[3][1] = -101.0f/11376.0f; U(expectedmat).m[3][2] = -73.0f/11376.0f; U(expectedmat).m[3][3] = -127.0f/3792.0f;
 297     expectedfloat = -147888.0f;
 298     D3DXMatrixInverse(&gotmat,&determinant,&mat);
 299     expect_mat(&expectedmat, &gotmat);
 300     ok(relative_error( determinant, expectedfloat ) < admitted_error, "Expected: %f, Got: %f\n", expectedfloat, determinant);
 301     funcpointer = D3DXMatrixInverse(&gotmat,NULL,&mat2);
 302     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 303
 304 /*____________D3DXMatrixIsIdentity______________*/
 305     expected = FALSE;
 306     memset(&mat3, 0, sizeof(mat3));
 307     got = D3DXMatrixIsIdentity(&mat3);
 308     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 309     D3DXMatrixIdentity(&mat3);
 310     expected = TRUE;
 311     got = D3DXMatrixIsIdentity(&mat3);
 312     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 313     U(mat3).m[0][0] = 0.000009f;
 314     expected = FALSE;
 315     got = D3DXMatrixIsIdentity(&mat3);
 316     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 317     /* Test the NULL case */
 318     expected = FALSE;
 319     got = D3DXMatrixIsIdentity(NULL);
 320     ok(expected == got, "Expected : %d, Got : %d\n", expected, got);
 321
 322 /*____________D3DXMatrixLookatLH_______________*/
 323     U(expectedmat).m[0][0] = -0.822465f; U(expectedmat).m[0][1] = -0.409489f; U(expectedmat).m[0][2] = -0.394803f; U(expectedmat).m[0][3] = 0.0f;
 324     U(expectedmat).m[1][0] = -0.555856f; U(expectedmat).m[1][1] = 0.431286f; U(expectedmat).m[1][2] = 0.710645f; U(expectedmat).m[1][3] = 0.0f;
 325     U(expectedmat).m[2][0] = -0.120729f; U(expectedmat).m[2][1] = 0.803935f; U(expectedmat).m[2][2] = -0.582335f; U(expectedmat).m[2][3] = 0.0f;
 326     U(expectedmat).m[3][0] = 4.494634f; U(expectedmat).m[3][1] = 0.809719f; U(expectedmat).m[3][2] = 10.060076f; U(expectedmat).m[3][3] = 1.0f;
 327     D3DXMatrixLookAtLH(&gotmat,&eye,&at,&axis);
 328     expect_mat(&expectedmat, &gotmat);
 329
 330 /*____________D3DXMatrixLookatRH_______________*/
 331     U(expectedmat).m[0][0] = 0.822465f; U(expectedmat).m[0][1] = -0.409489f; U(expectedmat).m[0][2] = 0.394803f; U(expectedmat).m[0][3] = 0.0f;
 332     U(expectedmat).m[1][0] = 0.555856f; U(expectedmat).m[1][1] = 0.431286f; U(expectedmat).m[1][2] = -0.710645f; U(expectedmat).m[1][3] = 0.0f;
 333     U(expectedmat).m[2][0] = 0.120729f; U(expectedmat).m[2][1] = 0.803935f; U(expectedmat).m[2][2] = 0.582335f; U(expectedmat).m[2][3] = 0.0f;
 334     U(expectedmat).m[3][0] = -4.494634f; U(expectedmat).m[3][1] = 0.809719f; U(expectedmat).m[3][2] = -10.060076f; U(expectedmat).m[3][3] = 1.0f;
 335     D3DXMatrixLookAtRH(&gotmat,&eye,&at,&axis);
 336     expect_mat(&expectedmat, &gotmat);
 337
 338 /*____________D3DXMatrixMultiply______________*/
 339     U(expectedmat).m[0][0] = 73.0f; U(expectedmat).m[0][1] = 193.0f; U(expectedmat).m[0][2] = -197.0f; U(expectedmat).m[0][3] = -77.0f;
 340     U(expectedmat).m[1][0] = 231.0f; U(expectedmat).m[1][1] = 551.0f; U(expectedmat).m[1][2] = -489.0f; U(expectedmat).m[1][3] = -169.0;
 341     U(expectedmat).m[2][0] = 239.0f; U(expectedmat).m[2][1] = 523.0f; U(expectedmat).m[2][2] = -400.0f; U(expectedmat).m[2][3] = -116.0f;
 342     U(expectedmat).m[3][0] = -164.0f; U(expectedmat).m[3][1] = -320.0f; U(expectedmat).m[3][2] = 187.0f; U(expectedmat).m[3][3] = 31.0f;
 343     D3DXMatrixMultiply(&gotmat,&mat,&mat2);
 344     expect_mat(&expectedmat, &gotmat);
 345
 346 /*____________D3DXMatrixMultiplyTranspose____*/
 347     U(expectedmat).m[0][0] = 73.0f; U(expectedmat).m[0][1] = 231.0f; U(expectedmat).m[0][2] = 239.0f; U(expectedmat).m[0][3] = -164.0f;
 348     U(expectedmat).m[1][0] = 193.0f; U(expectedmat).m[1][1] = 551.0f; U(expectedmat).m[1][2] = 523.0f; U(expectedmat).m[1][3] = -320.0;
 349     U(expectedmat).m[2][0] = -197.0f; U(expectedmat).m[2][1] = -489.0f; U(expectedmat).m[2][2] = -400.0f; U(expectedmat).m[2][3] = 187.0f;
 350     U(expectedmat).m[3][0] = -77.0f; U(expectedmat).m[3][1] = -169.0f; U(expectedmat).m[3][2] = -116.0f; U(expectedmat).m[3][3] = 31.0f;
 351     D3DXMatrixMultiplyTranspose(&gotmat,&mat,&mat2);
 352     expect_mat(&expectedmat, &gotmat);
 353
 354 /*____________D3DXMatrixOrthoLH_______________*/
 355     U(expectedmat).m[0][0] = 0.8f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 356     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 0.270270f; U(expectedmat).m[1][2] = 0.0f; U(expectedmat).m[1][3] = 0.0f;
 357     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = -0.151515f; U(expectedmat).m[2][3] = 0.0f;
 358     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = -0.484848f; U(expectedmat).m[3][3] = 1.0f;
 359     D3DXMatrixOrthoLH(&gotmat, 2.5f, 7.4f, -3.2f, -9.8f);
 360     expect_mat(&expectedmat, &gotmat);
 361
 362 /*____________D3DXMatrixOrthoOffCenterLH_______________*/
 363     U(expectedmat).m[0][0] = 3.636364f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 364     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 0.180180f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 365     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = -0.045662f; U(expectedmat).m[2][3] = 0.0f;
 366     U(expectedmat).m[3][0] = -1.727272f; U(expectedmat).m[3][1] = -0.567568f; U(expectedmat).m[3][2] = 0.424658f; U(expectedmat).m[3][3] = 1.0f;
 367     D3DXMatrixOrthoOffCenterLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 9.3, -12.6);
 368     expect_mat(&expectedmat, &gotmat);
 369
 370 /*____________D3DXMatrixOrthoOffCenterRH_______________*/
 371     U(expectedmat).m[0][0] = 3.636364f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 372     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 0.180180f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 373     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 0.045662f; U(expectedmat).m[2][3] = 0.0f;
 374     U(expectedmat).m[3][0] = -1.727272f; U(expectedmat).m[3][1] = -0.567568f; U(expectedmat).m[3][2] = 0.424658f; U(expectedmat).m[3][3] = 1.0f;
 375     D3DXMatrixOrthoOffCenterRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 9.3, -12.6);
 376     expect_mat(&expectedmat, &gotmat);
 377
 378 /*____________D3DXMatrixOrthoRH_______________*/
 379     U(expectedmat).m[0][0] = 0.8f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 380     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 0.270270f; U(expectedmat).m[1][2] = 0.0f; U(expectedmat).m[1][3] = 0.0f;
 381     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 0.151515f; U(expectedmat).m[2][3] = 0.0f;
 382     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = -0.484848f; U(expectedmat).m[3][3] = 1.0f;
 383     D3DXMatrixOrthoRH(&gotmat, 2.5f, 7.4f, -3.2f, -9.8f);
 384     expect_mat(&expectedmat, &gotmat);
 385
 386 /*____________D3DXMatrixPerspectiveFovLH_______________*/
 387     U(expectedmat).m[0][0] = 13.288858f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 388     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 9.966644f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 389     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 0.783784f; U(expectedmat).m[2][3] = 1.0f;
 390     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 1.881081f; U(expectedmat).m[3][3] = 0.0f;
 391     D3DXMatrixPerspectiveFovLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 392     expect_mat(&expectedmat, &gotmat);
 393
 394 /*____________D3DXMatrixPerspectiveFovRH_______________*/
 395     U(expectedmat).m[0][0] = 13.288858f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 396     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 9.966644f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 397     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = -0.783784f; U(expectedmat).m[2][3] = -1.0f;
 398     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 1.881081f; U(expectedmat).m[3][3] = 0.0f;
 399     D3DXMatrixPerspectiveFovRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 400     expect_mat(&expectedmat, &gotmat);
 401
 402 /*____________D3DXMatrixPerspectiveLH_______________*/
 403     U(expectedmat).m[0][0] = -24.0f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 404     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = -6.4f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 405     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 0.783784f; U(expectedmat).m[2][3] = 1.0f;
 406     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 1.881081f; U(expectedmat).m[3][3] = 0.0f;
 407     D3DXMatrixPerspectiveLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 408     expect_mat(&expectedmat, &gotmat);
 409
 410 /*____________D3DXMatrixPerspectiveOffCenterLH_______________*/
 411     U(expectedmat).m[0][0] = 11.636364f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 412     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 0.576577f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 413     U(expectedmat).m[2][0] = -1.727273f; U(expectedmat).m[2][1] = -0.567568f; U(expectedmat).m[2][2] = 0.840796f; U(expectedmat).m[2][3] = 1.0f;
 414     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = -2.690547f; U(expectedmat).m[3][3] = 0.0f;
 415     D3DXMatrixPerspectiveOffCenterLH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 3.2f, -16.9f);
 416     expect_mat(&expectedmat, &gotmat);
 417
 418 /*____________D3DXMatrixPerspectiveOffCenterRH_______________*/
 419     U(expectedmat).m[0][0] = 11.636364f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 420     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = 0.576577f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 421     U(expectedmat).m[2][0] = 1.727273f; U(expectedmat).m[2][1] = 0.567568f; U(expectedmat).m[2][2] = -0.840796f; U(expectedmat).m[2][3] = -1.0f;
 422     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = -2.690547f; U(expectedmat).m[3][3] = 0.0f;
 423     D3DXMatrixPerspectiveOffCenterRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f, 3.2f, -16.9f);
 424     expect_mat(&expectedmat, &gotmat);
 425
 426 /*____________D3DXMatrixPerspectiveRH_______________*/
 427     U(expectedmat).m[0][0] = -24.0f; U(expectedmat).m[0][1] = -0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 428     U(expectedmat).m[1][0] = 0.0f; U(expectedmat).m[1][1] = -6.4f; U(expectedmat).m[1][2] = 0.0; U(expectedmat).m[1][3] = 0.0f;
 429     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = -0.783784f; U(expectedmat).m[2][3] = -1.0f;
 430     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 1.881081f; U(expectedmat).m[3][3] = 0.0f;
 431     D3DXMatrixPerspectiveRH(&gotmat, 0.2f, 0.75f, -2.4f, 8.7f);
 432     expect_mat(&expectedmat, &gotmat);
 433
 434 /*____________D3DXMatrixReflect______________*/
 435     U(expectedmat).m[0][0] = 0.307692f; U(expectedmat).m[0][1] = -0.230769f; U(expectedmat).m[0][2] = 0.923077f; U(expectedmat).m[0][3] = 0.0f;
 436     U(expectedmat).m[1][0] = -0.230769; U(expectedmat).m[1][1] = 0.923077f; U(expectedmat).m[1][2] = 0.307693f; U(expectedmat).m[1][3] = 0.0f;
 437     U(expectedmat).m[2][0] = 0.923077f; U(expectedmat).m[2][1] = 0.307693f; U(expectedmat).m[2][2] = -0.230769f; U(expectedmat).m[2][3] = 0.0f;
 438     U(expectedmat).m[3][0] = 1.615385f; U(expectedmat).m[3][1] = 0.538462f; U(expectedmat).m[3][2] = -2.153846f; U(expectedmat).m[3][3] = 1.0f;
 439     D3DXMatrixReflect(&gotmat,&plane);
 440     expect_mat(&expectedmat, &gotmat);
 441
 442 /*____________D3DXMatrixRotationAxis_____*/
 443     U(expectedmat).m[0][0] = 0.508475f; U(expectedmat).m[0][1] = 0.763805f; U(expectedmat).m[0][2] = 0.397563f; U(expectedmat).m[0][3] = 0.0f;
 444     U(expectedmat).m[1][0] = -0.814652f; U(expectedmat).m[1][1] = 0.576271f; U(expectedmat).m[1][2] = -0.065219f; U(expectedmat).m[1][3] = 0.0f;
 445     U(expectedmat).m[2][0] = -0.278919f; U(expectedmat).m[2][1] = -0.290713f; U(expectedmat).m[2][2] = 0.915254f; U(expectedmat).m[2][3] = 0.0f;
 446     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 0.0f; U(expectedmat).m[3][3] = 1.0f;
 447     D3DXMatrixRotationAxis(&gotmat,&axis,angle);
 448     expect_mat(&expectedmat, &gotmat);
 449
 450 /*____________D3DXMatrixRotationQuaternion______________*/
 451     U(expectedmat).m[0][0] = -129.0f; U(expectedmat).m[0][1] = -162.0f; U(expectedmat).m[0][2] = -74.0f; U(expectedmat).m[0][3] = 0.0f;
 452     U(expectedmat).m[1][0] = 146.0f; U(expectedmat).m[1][1] = -99.0f; U(expectedmat).m[1][2] = -78.0f; U(expectedmat).m[1][3] = 0.0f;
 453     U(expectedmat).m[2][0] = 102.0f; U(expectedmat).m[2][1] = -34.0f; U(expectedmat).m[2][2] = -33.0f; U(expectedmat).m[2][3] = 0.0f;
 454     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 0.0f; U(expectedmat).m[3][3] = 1.0f;
 455     D3DXMatrixRotationQuaternion(&gotmat,&q);
 456     expect_mat(&expectedmat, &gotmat);
 457
 458 /*____________D3DXMatrixRotationX______________*/
 459     U(expectedmat).m[0][0] = 1.0f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 460     U(expectedmat).m[1][0] = 0.0; U(expectedmat).m[1][1] = 0.5f; U(expectedmat).m[1][2] = sqrt(3.0f)/2.0f; U(expectedmat).m[1][3] = 0.0f;
 461     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = -sqrt(3.0f)/2.0f; U(expectedmat).m[2][2] = 0.5f; U(expectedmat).m[2][3] = 0.0f;
 462     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 0.0f; U(expectedmat).m[3][3] = 1.0f;
 463     D3DXMatrixRotationX(&gotmat,angle);
 464     expect_mat(&expectedmat, &gotmat);
 465
 466 /*____________D3DXMatrixRotationY______________*/
 467     U(expectedmat).m[0][0] = 0.5f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = -sqrt(3.0f)/2.0f; U(expectedmat).m[0][3] = 0.0f;
 468     U(expectedmat).m[1][0] = 0.0; U(expectedmat).m[1][1] = 1.0f; U(expectedmat).m[1][2] = 0.0f; U(expectedmat).m[1][3] = 0.0f;
 469     U(expectedmat).m[2][0] = sqrt(3.0f)/2.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 0.5f; U(expectedmat).m[2][3] = 0.0f;
 470     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 0.0f; U(expectedmat).m[3][3] = 1.0f;
 471     D3DXMatrixRotationY(&gotmat,angle);
 472     expect_mat(&expectedmat, &gotmat);
 473
 474 /*____________D3DXMatrixRotationYawPitchRoll____*/
 475     U(expectedmat).m[0][0] = 0.888777f; U(expectedmat).m[0][1] = 0.091875f; U(expectedmat).m[0][2] = -0.449037f; U(expectedmat).m[0][3] = 0.0f;
 476     U(expectedmat).m[1][0] = 0.351713f; U(expectedmat).m[1][1] = 0.491487f; U(expectedmat).m[1][2] = 0.796705f; U(expectedmat).m[1][3] = 0.0f;
 477     U(expectedmat).m[2][0] = 0.293893f; U(expectedmat).m[2][1] = -0.866025f; U(expectedmat).m[2][2] = 0.404509f; U(expectedmat).m[2][3] = 0.0f;
 478     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 0.0f; U(expectedmat).m[3][3] = 1.0f;
 479     D3DXMatrixRotationYawPitchRoll(&gotmat, 3.0f*angle/5.0f, angle, 3.0f*angle/17.0f);
 480     expect_mat(&expectedmat, &gotmat);
 481
 482 /*____________D3DXMatrixRotationZ______________*/
 483     U(expectedmat).m[0][0] = 0.5f; U(expectedmat).m[0][1] = sqrt(3.0f)/2.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 484     U(expectedmat).m[1][0] = -sqrt(3.0f)/2.0f; U(expectedmat).m[1][1] = 0.5f; U(expectedmat).m[1][2] = 0.0f; U(expectedmat).m[1][3] = 0.0f;
 485     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 1.0f; U(expectedmat).m[2][3] = 0.0f;
 486     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 0.0f; U(expectedmat).m[3][3] = 1.0f;
 487     D3DXMatrixRotationZ(&gotmat,angle);
 488     expect_mat(&expectedmat, &gotmat);
 489
 490 /*____________D3DXMatrixScaling______________*/
 491     U(expectedmat).m[0][0] = 0.69f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 492     U(expectedmat).m[1][0] = 0.0; U(expectedmat).m[1][1] = 0.53f; U(expectedmat).m[1][2] = 0.0f; U(expectedmat).m[1][3] = 0.0f;
 493     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 4.11f; U(expectedmat).m[2][3] = 0.0f;
 494     U(expectedmat).m[3][0] = 0.0f; U(expectedmat).m[3][1] = 0.0f; U(expectedmat).m[3][2] = 0.0f; U(expectedmat).m[3][3] = 1.0f;
 495     D3DXMatrixScaling(&gotmat,0.69f,0.53f,4.11f);
 496     expect_mat(&expectedmat, &gotmat);
 497
 498 /*____________D3DXMatrixShadow______________*/
 499     U(expectedmat).m[0][0] = 12.786773f; U(expectedmat).m[0][1] = 5.000961f; U(expectedmat).m[0][2] = 4.353778f; U(expectedmat).m[0][3] = 3.706595f;
 500     U(expectedmat).m[1][0] = 1.882715; U(expectedmat).m[1][1] = 8.805615f; U(expectedmat).m[1][2] = 1.451259f; U(expectedmat).m[1][3] = 1.235532f;
 501     U(expectedmat).m[2][0] = -7.530860f; U(expectedmat).m[2][1] = -6.667949f; U(expectedmat).m[2][2] = 1.333590f; U(expectedmat).m[2][3] = -4.942127f;
 502     U(expectedmat).m[3][0] = -13.179006f; U(expectedmat).m[3][1] = -11.668910f; U(expectedmat).m[3][2] = -10.158816f; U(expectedmat).m[3][3] = -1.510094f;
 503     D3DXMatrixShadow(&gotmat,&light,&plane);
 504     expect_mat(&expectedmat, &gotmat);
 505
 506 /*____________D3DXMatrixTransformation______________*/
 507     U(expectedmat).m[0][0] = -0.2148f; U(expectedmat).m[0][1] = 1.3116f; U(expectedmat).m[0][2] = 0.4752f; U(expectedmat).m[0][3] = 0.0f;
 508     U(expectedmat).m[1][0] = 0.9504f; U(expectedmat).m[1][1] = -0.8836f; U(expectedmat).m[1][2] = 0.9244f; U(expectedmat).m[1][3] = 0.0f;
 509     U(expectedmat).m[2][0] = 1.0212f; U(expectedmat).m[2][1] = 0.1936f; U(expectedmat).m[2][2] = -1.3588f; U(expectedmat).m[2][3] = 0.0f;
 510     U(expectedmat).m[3][0] = 18.2985f; U(expectedmat).m[3][1] = -29.624001f; U(expectedmat).m[3][2] = 15.683499f; U(expectedmat).m[3][3] = 1.0f;
 511     D3DXMatrixTransformation(&gotmat,&at,&q,NULL,&eye,&r,&last);
 512     expect_mat(&expectedmat, &gotmat);
 513
 514 /*____________D3DXMatrixTranslation______________*/
 515     U(expectedmat).m[0][0] = 1.0f; U(expectedmat).m[0][1] = 0.0f; U(expectedmat).m[0][2] = 0.0f; U(expectedmat).m[0][3] = 0.0f;
 516     U(expectedmat).m[1][0] = 0.0; U(expectedmat).m[1][1] = 1.0f; U(expectedmat).m[1][2] = 0.0f; U(expectedmat).m[1][3] = 0.0f;
 517     U(expectedmat).m[2][0] = 0.0f; U(expectedmat).m[2][1] = 0.0f; U(expectedmat).m[2][2] = 1.0f; U(expectedmat).m[2][3] = 0.0f;
 518     U(expectedmat).m[3][0] = 0.69f; U(expectedmat).m[3][1] = 0.53f; U(expectedmat).m[3][2] = 4.11f; U(expectedmat).m[3][3] = 1.0f;
 519     D3DXMatrixTranslation(&gotmat,0.69f,0.53f,4.11f);
 520     expect_mat(&expectedmat, &gotmat);
 521
 522 /*____________D3DXMatrixTranspose______________*/
 523     U(expectedmat).m[0][0] = 10.0f; U(expectedmat).m[0][1] = 11.0f; U(expectedmat).m[0][2] = 19.0f; U(expectedmat).m[0][3] = 2.0f;
 524     U(expectedmat).m[1][0] = 5.0; U(expectedmat).m[1][1] = 20.0f; U(expectedmat).m[1][2] = -21.0f; U(expectedmat).m[1][3] = 3.0f;
 525     U(expectedmat).m[2][0] = 7.0f; U(expectedmat).m[2][1] = 16.0f; U(expectedmat).m[2][2] = 30.f; U(expectedmat).m[2][3] = -4.0f;
 526     U(expectedmat).m[3][0] = 8.0f; U(expectedmat).m[3][1] = 33.0f; U(expectedmat).m[3][2] = 43.0f; U(expectedmat).m[3][3] = -40.0f;
 527     D3DXMatrixTranspose(&gotmat,&mat);
 528     expect_mat(&expectedmat, &gotmat);
 529 }
 530
 531 static void D3DXPlaneTest(void)
 532 {
 533     D3DXMATRIX mat;
 534     D3DXPLANE expectedplane, gotplane, nulplane, plane;
 535     D3DXVECTOR3 expectedvec, gotvec, vec1, vec2, vec3;
 536     LPD3DXVECTOR3 funcpointer;
 537     D3DXVECTOR4 vec;
 538     FLOAT expected, got;
 539
 540     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 541     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 542     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 543     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 544     U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
 545     U(mat).m[3][3] = -40.0f;
 546
 547     plane.a = -3.0f; plane.b = -1.0f; plane.c = 4.0f; plane.d = 7.0f;
 548
 549     vec.x = 2.0f; vec.y = 5.0f; vec.z = -6.0f; vec.w = 11.0f;
 550
 551 /*_______________D3DXPlaneDot________________*/
 552     expected = 42.0f;
 553     got = D3DXPlaneDot(&plane,&vec),
 554     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 555     expected = 0.0f;
 556     got = D3DXPlaneDot(NULL,&vec),
 557     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 558     expected = 0.0f;
 559     got = D3DXPlaneDot(NULL,NULL),
 560     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 561
 562 /*_______________D3DXPlaneDotCoord________________*/
 563     expected = -28.0f;
 564     got = D3DXPlaneDotCoord(&plane,&vec),
 565     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 566     expected = 0.0f;
 567     got = D3DXPlaneDotCoord(NULL,&vec),
 568     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 569     expected = 0.0f;
 570     got = D3DXPlaneDotCoord(NULL,NULL),
 571     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 572
 573 /*_______________D3DXPlaneDotNormal______________*/
 574     expected = -35.0f;
 575     got = D3DXPlaneDotNormal(&plane,&vec),
 576     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 577     expected = 0.0f;
 578     got = D3DXPlaneDotNormal(NULL,&vec),
 579     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 580     expected = 0.0f;
 581     got = D3DXPlaneDotNormal(NULL,NULL),
 582     ok( expected == got, "Expected : %f, Got : %f\n",expected, got);
 583
 584 /*_______________D3DXPlaneFromPointNormal_______*/
 585     vec1.x = 11.0f; vec1.y = 13.0f; vec1.z = 15.0f;
 586     vec2.x = 17.0f; vec2.y = 31.0f; vec2.z = 24.0f;
 587     expectedplane.a = 17.0f; expectedplane.b = 31.0f; expectedplane.c = 24.0f; expectedplane.d = -950.0f;
 588     D3DXPlaneFromPointNormal(&gotplane,&vec1,&vec2);
 589     expect_plane(expectedplane, gotplane);
 590
 591 /*_______________D3DXPlaneFromPoints_______*/
 592     vec1.x = 1.0f; vec1.y = 2.0f; vec1.z = 3.0f;
 593     vec2.x = 1.0f; vec2.y = -6.0f; vec2.z = -5.0f;
 594     vec3.x = 83.0f; vec3.y = 74.0f; vec3.z = 65.0f;
 595     expectedplane.a = 0.085914f; expectedplane.b = -0.704492f; expectedplane.c = 0.704492f; expectedplane.d = -0.790406f;
 596     D3DXPlaneFromPoints(&gotplane,&vec1,&vec2,&vec3);
 597     expect_plane(expectedplane, gotplane);
 598
 599 /*_______________D3DXPlaneIntersectLine___________*/
 600     vec1.x = 9.0f; vec1.y = 6.0f; vec1.z = 3.0f;
 601     vec2.x = 2.0f; vec2.y = 5.0f; vec2.z = 8.0f;
 602     expectedvec.x = 20.0f/3.0f; expectedvec.y = 17.0f/3.0f; expectedvec.z = 14.0f/3.0f;
 603     D3DXPlaneIntersectLine(&gotvec,&plane,&vec1,&vec2);
 604     expect_vec3(expectedvec, gotvec);
 605     /* Test a parallel line */
 606     vec1.x = 11.0f; vec1.y = 13.0f; vec1.z = 15.0f;
 607     vec2.x = 17.0f; vec2.y = 31.0f; vec2.z = 24.0f;
 608     expectedvec.x = 20.0f/3.0f; expectedvec.y = 17.0f/3.0f; expectedvec.z = 14.0f/3.0f;
 609     funcpointer = D3DXPlaneIntersectLine(&gotvec,&plane,&vec1,&vec2);
 610     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 611
 612 /*_______________D3DXPlaneNormalize______________*/
 613     expectedplane.a = -3.0f/sqrt(26.0f); expectedplane.b = -1.0f/sqrt(26.0f); expectedplane.c = 4.0f/sqrt(26.0f); expectedplane.d = 7.0/sqrt(26.0f);
 614     D3DXPlaneNormalize(&gotplane, &plane);
 615     expect_plane(expectedplane, gotplane);
 616     nulplane.a = 0.0; nulplane.b = 0.0f, nulplane.c = 0.0f; nulplane.d = 0.0f;
 617     expectedplane.a = 0.0f; expectedplane.b = 0.0f; expectedplane.c = 0.0f; expectedplane.d = 0.0f;
 618     D3DXPlaneNormalize(&gotplane, &nulplane);
 619     expect_plane(expectedplane, gotplane);
 620
 621 /*_______________D3DXPlaneTransform____________*/
 622     expectedplane.a = 49.0f; expectedplane.b = -98.0f; expectedplane.c = 55.0f; expectedplane.d = -165.0f;
 623     D3DXPlaneTransform(&gotplane,&plane,&mat);
 624     expect_plane(expectedplane, gotplane);
 625 }
 626
 627 static void D3DXQuaternionTest(void)
 628 {
 629     D3DXMATRIX mat;
 630     D3DXQUATERNION expectedquat, gotquat, Nq, Nq1, nul, smallq, smallr, q, r, s, t, u;
 631     LPD3DXQUATERNION funcpointer;
 632     D3DXVECTOR3 axis, expectedvec;
 633     FLOAT angle, expected, got, scale, scale2;
 634     BOOL expectedbool, gotbool;
 635
 636     nul.x = 0.0f; nul.y = 0.0f; nul.z = 0.0f; nul.w = 0.0f;
 637     q.x = 1.0f, q.y = 2.0f; q.z = 4.0f; q.w = 10.0f;
 638     r.x = -3.0f; r.y = 4.0f; r.z = -5.0f; r.w = 7.0;
 639     t.x = -1111.0f, t.y = 111.0f; t.z = -11.0f; t.w = 1.0f;
 640     u.x = 91.0f; u.y = - 82.0f; u.z = 7.3f; u.w = -6.4f;
 641     smallq.x = 0.1f; smallq.y = 0.2f; smallq.z= 0.3f; smallq.w = 0.4f;
 642     smallr.x = 0.5f; smallr.y = 0.6f; smallr.z= 0.7f; smallr.w = 0.8f;
 643
 644     scale = 0.3f;
 645     scale2 = 0.78f;
 646
 647 /*_______________D3DXQuaternionBaryCentric________________________*/
 648     expectedquat.x = -867.444458; expectedquat.y = 87.851111f; expectedquat.z = -9.937778f; expectedquat.w = 3.235555f;
 649     D3DXQuaternionBaryCentric(&gotquat,&q,&r,&t,scale,scale2);
 650     expect_vec4(expectedquat,gotquat);
 651
 652 /*_______________D3DXQuaternionConjugate________________*/
 653     expectedquat.x = -1.0f; expectedquat.y = -2.0f; expectedquat.z = -4.0f; expectedquat.w = 10.0f;
 654     D3DXQuaternionConjugate(&gotquat,&q);
 655     expect_vec4(expectedquat,gotquat);
 656     /* Test the NULL case */
 657     funcpointer = D3DXQuaternionConjugate(&gotquat,NULL);
 658     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 659     funcpointer = D3DXQuaternionConjugate(NULL,NULL);
 660     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 661
 662 /*_______________D3DXQuaternionDot______________________*/
 663     expected = 55.0f;
 664     got = D3DXQuaternionDot(&q,&r);
 665     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 666     /* Tests the case NULL */
 667     expected=0.0f;
 668     got = D3DXQuaternionDot(NULL,&r);
 669     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 670     expected=0.0f;
 671     got = D3DXQuaternionDot(NULL,NULL);
 672     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 673
 674 /*_______________D3DXQuaternionExp______________________________*/
 675     expectedquat.x = -0.216382f; expectedquat.y = -0.432764f; expectedquat.z = -0.8655270f; expectedquat.w = -0.129449f;
 676     D3DXQuaternionExp(&gotquat,&q);
 677     expect_vec4(expectedquat,gotquat);
 678     /* Test the null quaternion */
 679     expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 1.0f;
 680     D3DXQuaternionExp(&gotquat,&nul);
 681     expect_vec4(expectedquat,gotquat);
 682     /* Test the case where the norm of the quaternion is <1 */
 683     Nq1.x = 0.2f; Nq1.y = 0.1f; Nq1.z = 0.3; Nq1.w= 0.9f;
 684     expectedquat.x = 0.195366; expectedquat.y = 0.097683f; expectedquat.z = 0.293049f; expectedquat.w = 0.930813f;
 685     D3DXQuaternionExp(&gotquat,&Nq1);
 686     expect_vec4(expectedquat,gotquat);
 687
 688 /*_______________D3DXQuaternionIdentity________________*/
 689     expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 1.0f;
 690     D3DXQuaternionIdentity(&gotquat);
 691     expect_vec4(expectedquat,gotquat);
 692     /* Test the NULL case */
 693     funcpointer = D3DXQuaternionIdentity(NULL);
 694     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 695
 696 /*_______________D3DXQuaternionInverse________________________*/
 697     expectedquat.x = -1.0f/121.0f; expectedquat.y = -2.0f/121.0f; expectedquat.z = -4.0f/121.0f; expectedquat.w = 10.0f/121.0f;
 698     D3DXQuaternionInverse(&gotquat,&q);
 699     expect_vec4(expectedquat,gotquat);
 700
 701     expectedquat.x = 1.0f; expectedquat.y = 2.0f; expectedquat.z = 4.0f; expectedquat.w = 10.0f;
 702     D3DXQuaternionInverse(&gotquat,&gotquat);
 703     expect_vec4(expectedquat,gotquat);
 704
 705
 706 /*_______________D3DXQuaternionIsIdentity________________*/
 707     s.x = 0.0f; s.y = 0.0f; s.z = 0.0f; s.w = 1.0f;
 708     expectedbool = TRUE;
 709     gotbool = D3DXQuaternionIsIdentity(&s);
 710     ok( expectedbool == gotbool, "Expected boolean : %d, Got bool : %d\n", expectedbool, gotbool);
 711     s.x = 2.3f; s.y = -4.2f; s.z = 1.2f; s.w=0.2f;
 712     expectedbool = FALSE;
 713     gotbool = D3DXQuaternionIsIdentity(&q);
 714     ok( expectedbool == gotbool, "Expected boolean : %d, Got bool : %d\n", expectedbool, gotbool);
 715     /* Test the NULL case */
 716     gotbool = D3DXQuaternionIsIdentity(NULL);
 717     ok(gotbool == FALSE, "Expected boolean: %d, Got boolean: %d\n", FALSE, gotbool);
 718
 719 /*_______________D3DXQuaternionLength__________________________*/
 720    expected = 11.0f;
 721    got = D3DXQuaternionLength(&q);
 722    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 723    /* Tests the case NULL */
 724     expected=0.0f;
 725     got = D3DXQuaternionLength(NULL);
 726     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 727
 728 /*_______________D3DXQuaternionLengthSq________________________*/
 729     expected = 121.0f;
 730     got = D3DXQuaternionLengthSq(&q);
 731     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 732     /* Tests the case NULL */
 733     expected=0.0f;
 734     got = D3DXQuaternionLengthSq(NULL);
 735     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 736
 737 /*_______________D3DXQuaternionLn______________________________*/
 738     expectedquat.x = 1.0f; expectedquat.y = 2.0f; expectedquat.z = 4.0f; expectedquat.w = 0.0f;
 739     D3DXQuaternionLn(&gotquat,&q);
 740     expect_vec4(expectedquat,gotquat);
 741     expectedquat.x = -3.0f; expectedquat.y = 4.0f; expectedquat.z = -5.0f; expectedquat.w = 0.0f;
 742     D3DXQuaternionLn(&gotquat,&r);
 743     expect_vec4(expectedquat,gotquat);
 744     Nq.x = 1.0f/11.0f; Nq.y = 2.0f/11.0f; Nq.z = 4.0f/11.0f; Nq.w=10.0f/11.0f;
 745     expectedquat.x = 0.093768f; expectedquat.y = 0.187536f; expectedquat.z = 0.375073f; expectedquat.w = 0.0f;
 746     D3DXQuaternionLn(&gotquat,&Nq);
 747     expect_vec4(expectedquat,gotquat);
 748     /* Test the cas where the norm of the quaternion is <1 */
 749     Nq1.x = 0.2f; Nq1.y = 0.1f; Nq1.z = 0.3; Nq1.w= 0.9f;
 750     expectedquat.x = 0.206945f; expectedquat.y = 0.103473f; expectedquat.z = 0.310418f; expectedquat.w = 0.0f;
 751     D3DXQuaternionLn(&gotquat,&Nq1);
 752     todo_wine{ expect_vec4(expectedquat,gotquat) };
 753
 754 /*_______________D3DXQuaternionMultiply________________________*/
 755     expectedquat.x = 3.0f; expectedquat.y = 61.0f; expectedquat.z = -32.0f; expectedquat.w = 85.0f;
 756     D3DXQuaternionMultiply(&gotquat,&q,&r);
 757     expect_vec4(expectedquat,gotquat);
 758
 759 /*_______________D3DXQuaternionNormalize________________________*/
 760     expectedquat.x = 1.0f/11.0f; expectedquat.y = 2.0f/11.0f; expectedquat.z = 4.0f/11.0f; expectedquat.w = 10.0f/11.0f;
 761     D3DXQuaternionNormalize(&gotquat,&q);
 762     expect_vec4(expectedquat,gotquat);
 763
 764 /*_______________D3DXQuaternionRotationAxis___________________*/
 765     axis.x = 2.0f; axis.y = 7.0; axis.z = 13.0f;
 766     angle = D3DX_PI/3.0f;
 767     expectedquat.x = 0.067116; expectedquat.y = 0.234905f; expectedquat.z = 0.436251f; expectedquat.w = 0.866025f;
 768     D3DXQuaternionRotationAxis(&gotquat,&axis,angle);
 769     expect_vec4(expectedquat,gotquat);
 770  /* Test the nul quaternion */
 771     axis.x = 0.0f; axis.y = 0.0; axis.z = 0.0f;
 772     expectedquat.x = 0.0f; expectedquat.y = 0.0f; expectedquat.z = 0.0f; expectedquat.w = 0.866025f;
 773     D3DXQuaternionRotationAxis(&gotquat,&axis,angle);
 774     expect_vec4(expectedquat,gotquat);
 775
 776 /*_______________D3DXQuaternionRotationMatrix___________________*/
 777     /* test when the trace is >0 */
 778     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 779     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 780     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 781     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 782     U(mat).m[0][0] = 10.0f; U(mat).m[1][1] = 20.0f; U(mat).m[2][2] = 30.0f;
 783     U(mat).m[3][3] = 48.0f;
 784     expectedquat.x = 2.368682f; expectedquat.y = 0.768221f; expectedquat.z = -0.384111f; expectedquat.w = 3.905125f;
 785     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 786     expect_vec4(expectedquat,gotquat);
 787     /* test the case when the greater element is (2,2) */
 788     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 789     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 790     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 791     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 792     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = -60.0f; U(mat).m[2][2] = 40.0f;
 793     U(mat).m[3][3] = 48.0f;
 794     expectedquat.x = 1.233905f; expectedquat.y = -0.237290f; expectedquat.z = 5.267827f; expectedquat.w = -0.284747f;
 795     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 796     expect_vec4(expectedquat,gotquat);
 797     /* test the case when the greater element is (1,1) */
 798     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 799     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 800     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 801     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 802     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 60.0f; U(mat).m[2][2] = -80.0f;
 803     U(mat).m[3][3] = 48.0f;
 804     expectedquat.x = 0.651031f; expectedquat.y = 6.144103f; expectedquat.z = -0.203447f; expectedquat.w = 0.488273f;
 805     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 806     expect_vec4(expectedquat,gotquat);
 807     /* test the case when the trace is near 0 in a matrix which is not a rotation */
 808     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 809     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 810     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 811     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 812     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.9f;
 813     U(mat).m[3][3] = 48.0f;
 814     expectedquat.x = 1.709495f; expectedquat.y = 2.339872f; expectedquat.z = -0.534217f; expectedquat.w = 1.282122f;
 815     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 816     expect_vec4(expectedquat,gotquat);
 817     /* test the case when the trace is 0.49 in a matrix which is not a rotation */
 818     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 819     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 820     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 821     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 822     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.51f;
 823     U(mat).m[3][3] = 48.0f;
 824     expectedquat.x = 1.724923f; expectedquat.y = 2.318944f; expectedquat.z = -0.539039f; expectedquat.w = 1.293692f;
 825     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 826     expect_vec4(expectedquat,gotquat);
 827     /* test the case when the trace is 0.51 in a matrix which is not a rotation */
 828     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 829     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 830     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 831     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 832     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.49f;
 833     U(mat).m[3][3] = 48.0f;
 834     expectedquat.x = 1.725726f; expectedquat.y = 2.317865f; expectedquat.z = -0.539289f; expectedquat.w = 1.294294f;
 835     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 836     expect_vec4(expectedquat,gotquat);
 837     /* test the case when the trace is 0.99 in a matrix which is not a rotation */
 838     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 839     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 840     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 841     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 842     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = -0.01f;
 843     U(mat).m[3][3] = 48.0f;
 844     expectedquat.x = 1.745328f; expectedquat.y = 2.291833f; expectedquat.z = -0.545415f; expectedquat.w = 1.308996f;
 845     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 846     expect_vec4(expectedquat,gotquat);
 847     /* test the case when the trace is 1.0 in a matrix which is not a rotation */
 848     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 849     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 850     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 851     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 852     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.0f;
 853     U(mat).m[3][3] = 48.0f;
 854     expectedquat.x = 1.745743f; expectedquat.y = 2.291288f; expectedquat.z = -0.545545f; expectedquat.w = 1.309307f;
 855     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 856     expect_vec4(expectedquat,gotquat);
 857     /* test the case when the trace is 1.01 in a matrix which is not a rotation */
 858     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 859     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 860     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 861     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 862     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.01f;
 863     U(mat).m[3][3] = 48.0f;
 864     expectedquat.x = 18.408188f; expectedquat.y = 5.970223f; expectedquat.z = -2.985111f; expectedquat.w = 0.502494f;
 865     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 866     expect_vec4(expectedquat,gotquat);
 867     /* test the case when the trace is 1.5 in a matrix which is not a rotation */
 868     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 869     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 870     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 871     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 872     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.5f;
 873     U(mat).m[3][3] = 48.0f;
 874     expectedquat.x = 15.105186f; expectedquat.y = 4.898980f; expectedquat.z = -2.449490f; expectedquat.w = 0.612372f;
 875     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 876     expect_vec4(expectedquat,gotquat);
 877     /* test the case when the trace is 1.7 in a matrix which is not a rotation */
 878     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 879     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 880     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 881     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 882     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.70f;
 883     U(mat).m[3][3] = 48.0f;
 884     expectedquat.x = 14.188852f; expectedquat.y = 4.601790f; expectedquat.z = -2.300895f; expectedquat.w = 0.651920f;
 885     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 886     expect_vec4(expectedquat,gotquat);
 887     /* test the case when the trace is 1.99 in a matrix which is not a rotation */
 888     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 889     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 890     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 891     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 892     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 0.99f;
 893     U(mat).m[3][3] = 48.0f;
 894     expectedquat.x = 13.114303f; expectedquat.y = 4.253287f; expectedquat.z = -2.126644f; expectedquat.w = 0.705337f;
 895     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 896     expect_vec4(expectedquat,gotquat);
 897     /* test the case when the trace is 2.0 in a matrix which is not a rotation */
 898     U(mat).m[0][1] = 5.0f; U(mat).m[0][2] = 7.0f; U(mat).m[0][3] = 8.0f;
 899     U(mat).m[1][0] = 11.0f; U(mat).m[1][2] = 16.0f; U(mat).m[1][3] = 33.0f;
 900     U(mat).m[2][0] = 19.0f; U(mat).m[2][1] = -21.0f; U(mat).m[2][3] = 43.0f;
 901     U(mat).m[3][0] = 2.0f; U(mat).m[3][1] = 3.0f; U(mat).m[3][2] = -4.0f;
 902     U(mat).m[0][0] = -10.0f; U(mat).m[1][1] = 10.0f; U(mat).m[2][2] = 2.0f;
 903     U(mat).m[3][3] = 48.0f;
 904     expectedquat.x = 10.680980f; expectedquat.y = 3.464102f; expectedquat.z = -1.732051f; expectedquat.w = 0.866025f;
 905     D3DXQuaternionRotationMatrix(&gotquat,&mat);
 906     expect_vec4(expectedquat,gotquat);
 907
 908 /*_______________D3DXQuaternionRotationYawPitchRoll__________*/
 909     expectedquat.x = 0.303261f; expectedquat.y = 0.262299f; expectedquat.z = 0.410073f; expectedquat.w = 0.819190f;
 910     D3DXQuaternionRotationYawPitchRoll(&gotquat,D3DX_PI/4.0f,D3DX_PI/11.0f,D3DX_PI/3.0f);
 911     expect_vec4(expectedquat,gotquat);
 912
 913 /*_______________D3DXQuaternionSlerp________________________*/
 914     expectedquat.x = -0.2f; expectedquat.y = 2.6f; expectedquat.z = 1.3f; expectedquat.w = 9.1f;
 915     D3DXQuaternionSlerp(&gotquat,&q,&r,scale);
 916     expect_vec4(expectedquat,gotquat);
 917     expectedquat.x = 334.0f; expectedquat.y = -31.9f; expectedquat.z = 6.1f; expectedquat.w = 6.7f;
 918     D3DXQuaternionSlerp(&gotquat,&q,&t,scale);
 919     expect_vec4(expectedquat,gotquat);
 920     expectedquat.x = 0.239485f; expectedquat.y = 0.346580f; expectedquat.z = 0.453676f; expectedquat.w = 0.560772f;
 921     D3DXQuaternionSlerp(&gotquat,&smallq,&smallr,scale);
 922     expect_vec4(expectedquat,gotquat);
 923
 924 /*_______________D3DXQuaternionSquad________________________*/
 925     expectedquat.x = -156.296f; expectedquat.y = 30.242f; expectedquat.z = -2.5022f; expectedquat.w = 7.3576f;
 926     D3DXQuaternionSquad(&gotquat,&q,&r,&t,&u,scale);
 927     expect_vec4(expectedquat,gotquat);
 928
 929 /*_______________D3DXQuaternionToAxisAngle__________________*/
 930     Nq.x = 1.0f/22.0f; Nq.y = 2.0f/22.0f; Nq.z = 4.0f/22.0f; Nq.w = 10.0f/22.0f;
 931     expectedvec.x = 1.0f/22.0f; expectedvec.y = 2.0f/22.0f; expectedvec.z = 4.0f/22.0f;
 932     expected = 2.197869f;
 933     D3DXQuaternionToAxisAngle(&Nq,&axis,&angle);
 934     expect_vec3(expectedvec,axis);
 935     ok(relative_error(angle,  expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, angle);
 936     /* Test if |w|>1.0f */
 937     expectedvec.x = 1.0f; expectedvec.y = 2.0f; expectedvec.z = 4.0f;
 938     D3DXQuaternionToAxisAngle(&q,&axis,&angle);
 939     expect_vec3(expectedvec,axis);
 940     /* Test the null quaternion */
 941     expectedvec.x = 0.0f; expectedvec.y = 0.0f; expectedvec.z = 0.0f;
 942     expected = 3.141593f;
 943     D3DXQuaternionToAxisAngle(&nul,&axis,&angle);
 944     expect_vec3(expectedvec,axis);
 945     ok(relative_error(angle, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, angle);
 946 }
 947
 948 static void D3DXVector2Test(void)
 949 {
 950     D3DXVECTOR2 expectedvec, gotvec, nul, u, v, w, x;
 951     LPD3DXVECTOR2 funcpointer;
 952     D3DXVECTOR4 expectedtrans, gottrans;
 953     D3DXMATRIX mat;
 954     FLOAT coeff1, coeff2, expected, got, scale;
 955
 956     nul.x = 0.0f; nul.y = 0.0f;
 957     u.x = 3.0f; u.y = 4.0f;
 958     v.x = -7.0f; v.y = 9.0f;
 959     w.x = 4.0f; w.y = -3.0f;
 960     x.x = 2.0f; x.y = -11.0f;
 961
 962     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;
 963     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;
 964     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;
 965     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;
 966
 967     coeff1 = 2.0f; coeff2 = 5.0f;
 968     scale = -6.5f;
 969
 970 /*_______________D3DXVec2Add__________________________*/
 971     expectedvec.x = -4.0f; expectedvec.y = 13.0f;
 972     D3DXVec2Add(&gotvec,&u,&v);
 973     expect_vec(expectedvec,gotvec);
 974     /* Tests the case NULL */
 975     funcpointer = D3DXVec2Add(&gotvec,NULL,&v);
 976     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 977     funcpointer = D3DXVec2Add(NULL,NULL,NULL);
 978     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
 979
 980 /*_______________D3DXVec2BaryCentric___________________*/
 981     expectedvec.x = -12.0f; expectedvec.y = -21.0f;
 982     D3DXVec2BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
 983     expect_vec(expectedvec,gotvec);
 984
 985 /*_______________D3DXVec2CatmullRom____________________*/
 986     expectedvec.x = 5820.25f; expectedvec.y = -3654.5625f;
 987     D3DXVec2CatmullRom(&gotvec,&u,&v,&w,&x,scale);
 988     expect_vec(expectedvec,gotvec);
 989
 990 /*_______________D3DXVec2CCW__________________________*/
 991    expected = 55.0f;
 992    got = D3DXVec2CCW(&u,&v);
 993    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 994    /* Tests the case NULL */
 995     expected=0.0f;
 996     got = D3DXVec2CCW(NULL,&v);
 997     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
 998     expected=0.0f;
 999     got = D3DXVec2CCW(NULL,NULL);
1000     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1001
1002 /*_______________D3DXVec2Dot__________________________*/
1003     expected = 15.0f;
1004     got = D3DXVec2Dot(&u,&v);
1005     ok(relative_error(got,  expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1006     /* Tests the case NULL */
1007     expected=0.0f;
1008     got = D3DXVec2Dot(NULL,&v);
1009     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1010     expected=0.0f;
1011     got = D3DXVec2Dot(NULL,NULL);
1012     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1013
1014 /*_______________D3DXVec2Hermite__________________________*/
1015     expectedvec.x = 2604.625f; expectedvec.y = -4533.0f;
1016     D3DXVec2Hermite(&gotvec,&u,&v,&w,&x,scale);
1017     expect_vec(expectedvec,gotvec);
1018
1019 /*_______________D3DXVec2Length__________________________*/
1020    expected = 5.0f;
1021    got = D3DXVec2Length(&u);
1022    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1023    /* Tests the case NULL */
1024     expected=0.0f;
1025     got = D3DXVec2Length(NULL);
1026     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1027
1028 /*_______________D3DXVec2LengthSq________________________*/
1029    expected = 25.0f;
1030    got = D3DXVec2LengthSq(&u);
1031    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1032    /* Tests the case NULL */
1033     expected=0.0f;
1034     got = D3DXVec2LengthSq(NULL);
1035     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1036
1037 /*_______________D3DXVec2Lerp__________________________*/
1038    expectedvec.x = 68.0f; expectedvec.y = -28.5f;
1039    D3DXVec2Lerp(&gotvec,&u,&v,scale);
1040    expect_vec(expectedvec,gotvec);
1041    /* Tests the case NULL */
1042     funcpointer = D3DXVec2Lerp(&gotvec,NULL,&v,scale);
1043     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1044     funcpointer = D3DXVec2Lerp(NULL,NULL,NULL,scale);
1045     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1046
1047 /*_______________D3DXVec2Maximize__________________________*/
1048    expectedvec.x = 3.0f; expectedvec.y = 9.0f;
1049    D3DXVec2Maximize(&gotvec,&u,&v);
1050    expect_vec(expectedvec,gotvec);
1051    /* Tests the case NULL */
1052     funcpointer = D3DXVec2Maximize(&gotvec,NULL,&v);
1053     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1054     funcpointer = D3DXVec2Maximize(NULL,NULL,NULL);
1055     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1056
1057 /*_______________D3DXVec2Minimize__________________________*/
1058     expectedvec.x = -7.0f; expectedvec.y = 4.0f;
1059     D3DXVec2Minimize(&gotvec,&u,&v);
1060     expect_vec(expectedvec,gotvec);
1061     /* Tests the case NULL */
1062     funcpointer = D3DXVec2Minimize(&gotvec,NULL,&v);
1063     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1064     funcpointer = D3DXVec2Minimize(NULL,NULL,NULL);
1065     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1066
1067 /*_______________D3DXVec2Normalize_________________________*/
1068     expectedvec.x = 0.6f; expectedvec.y = 0.8f;
1069     D3DXVec2Normalize(&gotvec,&u);
1070     expect_vec(expectedvec,gotvec);
1071     /* Test the nul vector */
1072     expectedvec.x = 0.0f; expectedvec.y = 0.0f;
1073     D3DXVec2Normalize(&gotvec,&nul);
1074     expect_vec(expectedvec,gotvec);
1075
1076 /*_______________D3DXVec2Scale____________________________*/
1077     expectedvec.x = -19.5f; expectedvec.y = -26.0f;
1078     D3DXVec2Scale(&gotvec,&u,scale);
1079     expect_vec(expectedvec,gotvec);
1080     /* Tests the case NULL */
1081     funcpointer = D3DXVec2Scale(&gotvec,NULL,scale);
1082     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1083     funcpointer = D3DXVec2Scale(NULL,NULL,scale);
1084     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1085
1086 /*_______________D3DXVec2Subtract__________________________*/
1087    expectedvec.x = 10.0f; expectedvec.y = -5.0f;
1088    D3DXVec2Subtract(&gotvec,&u,&v);
1089    expect_vec(expectedvec,gotvec);
1090    /* Tests the case NULL */
1091     funcpointer = D3DXVec2Subtract(&gotvec,NULL,&v);
1092     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1093     funcpointer = D3DXVec2Subtract(NULL,NULL,NULL);
1094     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1095
1096 /*_______________D3DXVec2Transform_______________________*/
1097     expectedtrans.x = 36.0f; expectedtrans.y = 44.0f; expectedtrans.z = 52.0f; expectedtrans.w = 60.0f;
1098     D3DXVec2Transform(&gottrans,&u,&mat);
1099     expect_vec4(expectedtrans,gottrans);
1100
1101 /*_______________D3DXVec2TransformCoord_______________________*/
1102     expectedvec.x = 0.6f; expectedvec.y = 11.0f/15.0f;
1103     D3DXVec2TransformCoord(&gotvec,&u,&mat);
1104     expect_vec(expectedvec,gotvec);
1105
1106  /*_______________D3DXVec2TransformNormal______________________*/
1107     expectedvec.x = 23.0f; expectedvec.y = 30.0f;
1108     D3DXVec2TransformNormal(&gotvec,&u,&mat);
1109     expect_vec(expectedvec,gotvec);
1110 }
1111
1112 static void D3DXVector3Test(void)
1113 {
1114     D3DVIEWPORT9 viewport;
1115     D3DXVECTOR3 expectedvec, gotvec, nul, u, v, w, x;
1116     LPD3DXVECTOR3 funcpointer;
1117     D3DXVECTOR4 expectedtrans, gottrans;
1118     D3DXMATRIX mat, projection, view, world;
1119     FLOAT coeff1, coeff2, expected, got, scale;
1120
1121     nul.x = 0.0f; nul.y = 0.0f; nul.z = 0.0f;
1122     u.x = 9.0f; u.y = 6.0f; u.z = 2.0f;
1123     v.x = 2.0f; v.y = -3.0f; v.z = -4.0;
1124     w.x = 3.0f; w.y = -5.0f; w.z = 7.0f;
1125     x.x = 4.0f; x.y = 1.0f; x.z = 11.0f;
1126
1127     viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
1128     viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;
1129
1130     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;
1131     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;
1132     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;
1133     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;
1134
1135     U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
1136     U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
1137     U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
1138     U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
1139     U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
1140     U(view).m[3][3] = -40.0f;
1141
1142     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;
1143     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;
1144     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;
1145     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;
1146
1147     coeff1 = 2.0f; coeff2 = 5.0f;
1148     scale = -6.5f;
1149
1150 /*_______________D3DXVec3Add__________________________*/
1151     expectedvec.x = 11.0f; expectedvec.y = 3.0f; expectedvec.z = -2.0f;
1152     D3DXVec3Add(&gotvec,&u,&v);
1153     expect_vec3(expectedvec,gotvec);
1154     /* Tests the case NULL */
1155     funcpointer = D3DXVec3Add(&gotvec,NULL,&v);
1156     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1157     funcpointer = D3DXVec3Add(NULL,NULL,NULL);
1158     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1159
1160 /*_______________D3DXVec3BaryCentric___________________*/
1161     expectedvec.x = -35.0f; expectedvec.y = -67.0; expectedvec.z = 15.0f;
1162     D3DXVec3BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
1163
1164     expect_vec3(expectedvec,gotvec);
1165
1166 /*_______________D3DXVec3CatmullRom____________________*/
1167     expectedvec.x = 1458.0f; expectedvec.y = 22.1875f; expectedvec.z = 4141.375f;
1168     D3DXVec3CatmullRom(&gotvec,&u,&v,&w,&x,scale);
1169     expect_vec3(expectedvec,gotvec);
1170
1171 /*_______________D3DXVec3Cross________________________*/
1172     expectedvec.x = -18.0f; expectedvec.y = 40.0f; expectedvec.z = -39.0f;
1173     D3DXVec3Cross(&gotvec,&u,&v);
1174     expect_vec3(expectedvec,gotvec);
1175     /* Tests the case NULL */
1176     funcpointer = D3DXVec3Cross(&gotvec,NULL,&v);
1177     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1178     funcpointer = D3DXVec3Cross(NULL,NULL,NULL);
1179     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1180
1181 /*_______________D3DXVec3Dot__________________________*/
1182     expected = -8.0f;
1183     got = D3DXVec3Dot(&u,&v);
1184     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1185     /* Tests the case NULL */
1186     expected=0.0f;
1187     got = D3DXVec3Dot(NULL,&v);
1188     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1189     expected=0.0f;
1190     got = D3DXVec3Dot(NULL,NULL);
1191     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1192
1193 /*_______________D3DXVec3Hermite__________________________*/
1194     expectedvec.x = -6045.75f; expectedvec.y = -6650.0f; expectedvec.z = 1358.875f;
1195     D3DXVec3Hermite(&gotvec,&u,&v,&w,&x,scale);
1196     expect_vec3(expectedvec,gotvec);
1197
1198 /*_______________D3DXVec3Length__________________________*/
1199    expected = 11.0f;
1200    got = D3DXVec3Length(&u);
1201    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1202    /* Tests the case NULL */
1203     expected=0.0f;
1204     got = D3DXVec3Length(NULL);
1205     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1206
1207 /*_______________D3DXVec3LengthSq________________________*/
1208     expected = 121.0f;
1209     got = D3DXVec3LengthSq(&u);
1210     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1211    /* Tests the case NULL */
1212     expected=0.0f;
1213     got = D3DXVec3LengthSq(NULL);
1214     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1215
1216 /*_______________D3DXVec3Lerp__________________________*/
1217     expectedvec.x = 54.5f; expectedvec.y = 64.5f, expectedvec.z = 41.0f ;
1218     D3DXVec3Lerp(&gotvec,&u,&v,scale);
1219     expect_vec3(expectedvec,gotvec);
1220     /* Tests the case NULL */
1221     funcpointer = D3DXVec3Lerp(&gotvec,NULL,&v,scale);
1222     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1223     funcpointer = D3DXVec3Lerp(NULL,NULL,NULL,scale);
1224     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1225
1226 /*_______________D3DXVec3Maximize__________________________*/
1227     expectedvec.x = 9.0f; expectedvec.y = 6.0f; expectedvec.z = 2.0f;
1228     D3DXVec3Maximize(&gotvec,&u,&v);
1229     expect_vec3(expectedvec,gotvec);
1230     /* Tests the case NULL */
1231     funcpointer = D3DXVec3Maximize(&gotvec,NULL,&v);
1232     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1233     funcpointer = D3DXVec3Maximize(NULL,NULL,NULL);
1234     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1235
1236 /*_______________D3DXVec3Minimize__________________________*/
1237     expectedvec.x = 2.0f; expectedvec.y = -3.0f; expectedvec.z = -4.0f;
1238     D3DXVec3Minimize(&gotvec,&u,&v);
1239     expect_vec3(expectedvec,gotvec);
1240     /* Tests the case NULL */
1241     funcpointer = D3DXVec3Minimize(&gotvec,NULL,&v);
1242     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1243     funcpointer = D3DXVec3Minimize(NULL,NULL,NULL);
1244     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1245
1246 /*_______________D3DXVec3Normalize_________________________*/
1247     expectedvec.x = 9.0f/11.0f; expectedvec.y = 6.0f/11.0f; expectedvec.z = 2.0f/11.0f;
1248     D3DXVec3Normalize(&gotvec,&u);
1249     expect_vec3(expectedvec,gotvec);
1250     /* Test the nul vector */
1251     expectedvec.x = 0.0f; expectedvec.y = 0.0f; expectedvec.z = 0.0f;
1252     D3DXVec3Normalize(&gotvec,&nul);
1253     expect_vec3(expectedvec,gotvec);
1254
1255 /*_______________D3DXVec3Project_________________________*/
1256     expectedvec.x = 1135.721924f; expectedvec.y = 147.086914f; expectedvec.z = 0.153412f;
1257     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
1258     D3DXVec3Project(&gotvec,&u,&viewport,&projection,&view,&world);
1259     expect_vec3(expectedvec,gotvec);
1260
1261 /*_______________D3DXVec3Scale____________________________*/
1262     expectedvec.x = -58.5f; expectedvec.y = -39.0f; expectedvec.z = -13.0f;
1263     D3DXVec3Scale(&gotvec,&u,scale);
1264     expect_vec3(expectedvec,gotvec);
1265     /* Tests the case NULL */
1266     funcpointer = D3DXVec3Scale(&gotvec,NULL,scale);
1267     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1268     funcpointer = D3DXVec3Scale(NULL,NULL,scale);
1269     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1270
1271 /*_______________D3DXVec3Subtract_______________________*/
1272     expectedvec.x = 7.0f; expectedvec.y = 9.0f; expectedvec.z = 6.0f;
1273     D3DXVec3Subtract(&gotvec,&u,&v);
1274     expect_vec3(expectedvec,gotvec);
1275     /* Tests the case NULL */
1276     funcpointer = D3DXVec3Subtract(&gotvec,NULL,&v);
1277     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1278     funcpointer = D3DXVec3Subtract(NULL,NULL,NULL);
1279     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1280
1281 /*_______________D3DXVec3Transform_______________________*/
1282     expectedtrans.x = 70.0f; expectedtrans.y = 88.0f; expectedtrans.z = 106.0f; expectedtrans.w = 124.0f;
1283     D3DXVec3Transform(&gottrans,&u,&mat);
1284     expect_vec4(expectedtrans,gottrans);
1285
1286 /*_______________D3DXVec3TransformCoord_______________________*/
1287     expectedvec.x = 70.0f/124.0f; expectedvec.y = 88.0f/124.0f; expectedvec.z = 106.0f/124.0f;
1288     D3DXVec3TransformCoord(&gotvec,&u,&mat);
1289     expect_vec3(expectedvec,gotvec);
1290
1291 /*_______________D3DXVec3TransformNormal______________________*/
1292     expectedvec.x = 57.0f; expectedvec.y = 74.0f; expectedvec.z = 91.0f;
1293     D3DXVec3TransformNormal(&gotvec,&u,&mat);
1294     expect_vec3(expectedvec,gotvec);
1295
1296 /*_______________D3DXVec3Unproject_________________________*/
1297     expectedvec.x = -2.913411f; expectedvec.y = 1.593215f; expectedvec.z = 0.380724f;
1298     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
1299     D3DXVec3Unproject(&gotvec,&u,&viewport,&projection,&view,&world);
1300     expect_vec3(expectedvec,gotvec);
1301 }
1302
1303 static void D3DXVector4Test(void)
1304 {
1305     D3DXVECTOR4 expectedvec, gotvec, u, v, w, x;
1306     LPD3DXVECTOR4 funcpointer;
1307     D3DXVECTOR4 expectedtrans, gottrans;
1308     D3DXMATRIX mat;
1309     FLOAT coeff1, coeff2, expected, got, scale;
1310
1311     u.x = 1.0f; u.y = 2.0f; u.z = 4.0f; u.w = 10.0;
1312     v.x = -3.0f; v.y = 4.0f; v.z = -5.0f; v.w = 7.0;
1313     w.x = 4.0f; w.y =6.0f; w.z = -2.0f; w.w = 1.0f;
1314     x.x = 6.0f; x.y = -7.0f; x.z =8.0f; x.w = -9.0f;
1315
1316     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;
1317     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;
1318     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;
1319     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;
1320
1321     coeff1 = 2.0f; coeff2 = 5.0;
1322     scale = -6.5f;
1323
1324 /*_______________D3DXVec4Add__________________________*/
1325     expectedvec.x = -2.0f; expectedvec.y = 6.0f; expectedvec.z = -1.0f; expectedvec.w = 17.0f;
1326     D3DXVec4Add(&gotvec,&u,&v);
1327     expect_vec4(expectedvec,gotvec);
1328     /* Tests the case NULL */
1329     funcpointer = D3DXVec4Add(&gotvec,NULL,&v);
1330     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1331     funcpointer = D3DXVec4Add(NULL,NULL,NULL);
1332     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1333
1334 /*_______________D3DXVec4BaryCentric____________________*/
1335     expectedvec.x = 8.0f; expectedvec.y = 26.0; expectedvec.z =  -44.0f; expectedvec.w = -41.0f;
1336     D3DXVec4BaryCentric(&gotvec,&u,&v,&w,coeff1,coeff2);
1337     expect_vec4(expectedvec,gotvec);
1338
1339 /*_______________D3DXVec4CatmullRom____________________*/
1340     expectedvec.x = 2754.625f; expectedvec.y = 2367.5625f; expectedvec.z = 1060.1875f; expectedvec.w = 131.3125f;
1341     D3DXVec4CatmullRom(&gotvec,&u,&v,&w,&x,scale);
1342     expect_vec4(expectedvec,gotvec);
1343
1344 /*_______________D3DXVec4Cross_________________________*/
1345     expectedvec.x = 390.0f; expectedvec.y = -393.0f; expectedvec.z = -316.0f; expectedvec.w = 166.0f;
1346     D3DXVec4Cross(&gotvec,&u,&v,&w);
1347     expect_vec4(expectedvec,gotvec);
1348
1349 /*_______________D3DXVec4Dot__________________________*/
1350     expected = 55.0f;
1351     got = D3DXVec4Dot(&u,&v);
1352     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1353     /* Tests the case NULL */
1354     expected=0.0f;
1355     got = D3DXVec4Dot(NULL,&v);
1356     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1357     expected=0.0f;
1358     got = D3DXVec4Dot(NULL,NULL);
1359     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1360
1361 /*_______________D3DXVec4Hermite_________________________*/
1362     expectedvec.x = 1224.625f; expectedvec.y = 3461.625f; expectedvec.z = -4758.875f; expectedvec.w = -5781.5f;
1363     D3DXVec4Hermite(&gotvec,&u,&v,&w,&x,scale);
1364     expect_vec4(expectedvec,gotvec);
1365
1366 /*_______________D3DXVec4Length__________________________*/
1367    expected = 11.0f;
1368    got = D3DXVec4Length(&u);
1369    ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1370    /* Tests the case NULL */
1371     expected=0.0f;
1372     got = D3DXVec4Length(NULL);
1373     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1374
1375 /*_______________D3DXVec4LengthSq________________________*/
1376     expected = 121.0f;
1377     got = D3DXVec4LengthSq(&u);
1378     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1379     /* Tests the case NULL */
1380     expected=0.0f;
1381     got = D3DXVec4LengthSq(NULL);
1382     ok(relative_error(got, expected ) < admitted_error, "Expected: %f, Got: %f\n", expected, got);
1383
1384 /*_______________D3DXVec4Lerp__________________________*/
1385     expectedvec.x = 27.0f; expectedvec.y = -11.0f; expectedvec.z = 62.5;  expectedvec.w = 29.5;
1386     D3DXVec4Lerp(&gotvec,&u,&v,scale);
1387     expect_vec4(expectedvec,gotvec);
1388     /* Tests the case NULL */
1389     funcpointer = D3DXVec4Lerp(&gotvec,NULL,&v,scale);
1390     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1391     funcpointer = D3DXVec4Lerp(NULL,NULL,NULL,scale);
1392     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1393
1394 /*_______________D3DXVec4Maximize__________________________*/
1395     expectedvec.x = 1.0f; expectedvec.y = 4.0f; expectedvec.z = 4.0f; expectedvec.w = 10.0;
1396     D3DXVec4Maximize(&gotvec,&u,&v);
1397     expect_vec4(expectedvec,gotvec);
1398     /* Tests the case NULL */
1399     funcpointer = D3DXVec4Maximize(&gotvec,NULL,&v);
1400     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1401     funcpointer = D3DXVec4Maximize(NULL,NULL,NULL);
1402     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1403
1404 /*_______________D3DXVec4Minimize__________________________*/
1405     expectedvec.x = -3.0f; expectedvec.y = 2.0f; expectedvec.z = -5.0f; expectedvec.w = 7.0;
1406     D3DXVec4Minimize(&gotvec,&u,&v);
1407     expect_vec4(expectedvec,gotvec);
1408     /* Tests the case NULL */
1409     funcpointer = D3DXVec4Minimize(&gotvec,NULL,&v);
1410     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1411     funcpointer = D3DXVec4Minimize(NULL,NULL,NULL);
1412     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1413
1414 /*_______________D3DXVec4Normalize_________________________*/
1415     expectedvec.x = 1.0f/11.0f; expectedvec.y = 2.0f/11.0f; expectedvec.z = 4.0f/11.0f; expectedvec.w = 10.0f/11.0f;
1416     D3DXVec4Normalize(&gotvec,&u);
1417     expect_vec4(expectedvec,gotvec);
1418
1419 /*_______________D3DXVec4Scale____________________________*/
1420     expectedvec.x = -6.5f; expectedvec.y = -13.0f; expectedvec.z = -26.0f; expectedvec.w = -65.0f;
1421     D3DXVec4Scale(&gotvec,&u,scale);
1422     expect_vec4(expectedvec,gotvec);
1423     /* Tests the case NULL */
1424     funcpointer = D3DXVec4Scale(&gotvec,NULL,scale);
1425     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1426     funcpointer = D3DXVec4Scale(NULL,NULL,scale);
1427     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1428
1429 /*_______________D3DXVec4Subtract__________________________*/
1430     expectedvec.x = 4.0f; expectedvec.y = -2.0f; expectedvec.z = 9.0f; expectedvec.w = 3.0f;
1431     D3DXVec4Subtract(&gotvec,&u,&v);
1432     expect_vec4(expectedvec,gotvec);
1433     /* Tests the case NULL */
1434     funcpointer = D3DXVec4Subtract(&gotvec,NULL,&v);
1435     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1436     funcpointer = D3DXVec4Subtract(NULL,NULL,NULL);
1437     ok(funcpointer == NULL, "Expected: %p, Got: %p\n", NULL, funcpointer);
1438
1439 /*_______________D3DXVec4Transform_______________________*/
1440     expectedtrans.x = 177.0f; expectedtrans.y = 194.0f; expectedtrans.z = 211.0f; expectedtrans.w = 228.0f;
1441     D3DXVec4Transform(&gottrans,&u,&mat);
1442     expect_vec4(expectedtrans,gottrans);
1443 }
1444
1445 static void test_matrix_stack(void)
1446 {
1447     ID3DXMatrixStack *stack;
1448     ULONG refcount;
1449     HRESULT hr;
1450
1451     const D3DXMATRIX mat1 = {{{
1452          1.0f,  2.0f,  3.0f,  4.0f,
1453          5.0f,  6.0f,  7.0f,  8.0f,
1454          9.0f, 10.0f, 11.0f, 12.0f,
1455         13.0f, 14.0f, 15.0f, 16.0f
1456     }}};
1457
1458     const D3DXMATRIX mat2 = {{{
1459         17.0f, 18.0f, 19.0f, 20.0f,
1460         21.0f, 22.0f, 23.0f, 24.0f,
1461         25.0f, 26.0f, 27.0f, 28.0f,
1462         29.0f, 30.0f, 31.0f, 32.0f
1463     }}};
1464
1465     hr = D3DXCreateMatrixStack(0, &stack);
1466     ok(SUCCEEDED(hr), "Failed to create a matrix stack, hr %#x\n", hr);
1467     if (FAILED(hr)) return;
1468
1469     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)),
1470             "The top of an empty matrix stack should be an identity matrix\n");
1471
1472     hr = ID3DXMatrixStack_Pop(stack);
1473     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1474
1475     hr = ID3DXMatrixStack_Push(stack);
1476     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1477     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1478
1479     hr = ID3DXMatrixStack_Push(stack);
1480     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1481
1482     hr = ID3DXMatrixStack_LoadMatrix(stack, &mat1);
1483     ok(SUCCEEDED(hr), "LoadMatrix failed, hr %#x\n", hr);
1484     expect_mat(&mat1, ID3DXMatrixStack_GetTop(stack));
1485
1486     hr = ID3DXMatrixStack_Push(stack);
1487     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1488     expect_mat(&mat1, ID3DXMatrixStack_GetTop(stack));
1489
1490     hr = ID3DXMatrixStack_LoadMatrix(stack, &mat2);
1491     ok(SUCCEEDED(hr), "LoadMatrix failed, hr %#x\n", hr);
1492     expect_mat(&mat2, ID3DXMatrixStack_GetTop(stack));
1493
1494     hr = ID3DXMatrixStack_Push(stack);
1495     ok(SUCCEEDED(hr), "Push failed, hr %#x\n", hr);
1496     expect_mat(&mat2, ID3DXMatrixStack_GetTop(stack));
1497
1498     hr = ID3DXMatrixStack_LoadIdentity(stack);
1499     ok(SUCCEEDED(hr), "LoadIdentity failed, hr %#x\n", hr);
1500     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1501
1502     hr = ID3DXMatrixStack_Pop(stack);
1503     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1504     expect_mat(&mat2, ID3DXMatrixStack_GetTop(stack));
1505
1506     hr = ID3DXMatrixStack_Pop(stack);
1507     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1508     expect_mat(&mat1, ID3DXMatrixStack_GetTop(stack));
1509
1510     hr = ID3DXMatrixStack_Pop(stack);
1511     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1512     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1513
1514     hr = ID3DXMatrixStack_Pop(stack);
1515     ok(SUCCEEDED(hr), "Pop failed, hr %#x\n", hr);
1516     ok(D3DXMatrixIsIdentity(ID3DXMatrixStack_GetTop(stack)), "The top should be an identity matrix\n");
1517
1518     refcount = ID3DXMatrixStack_Release(stack);
1519     ok(!refcount, "Matrix stack has %u references left.\n", refcount);
1520 }
1521
1522 static void test_Matrix_AffineTransformation2D(void)
1523 {
1524     D3DXMATRIX exp_mat, got_mat;
1525     D3DXVECTOR2 center, position;
1526     FLOAT angle, scale;
1527
1528     center.x = 3.0f;
1529     center.y = 4.0f;
1530
1531     position.x = -6.0f;
1532     position.y = 7.0f;
1533
1534     angle = D3DX_PI/3.0f;
1535
1536     scale = 20.0f;
1537
1538     U(exp_mat).m[0][0] = 10.0f;
1539     U(exp_mat).m[1][0] = -17.320507f;
1540     U(exp_mat).m[2][0] = 0.0f;
1541     U(exp_mat).m[3][0] = -1.035898f;
1542     U(exp_mat).m[0][1] = 17.320507f;
1543     U(exp_mat).m[1][1] = 10.0f;
1544     U(exp_mat).m[2][1] = 0.0f;
1545     U(exp_mat).m[3][1] = 6.401924f;
1546     U(exp_mat).m[0][2] = 0.0f;
1547     U(exp_mat).m[1][2] = 0.0f;
1548     U(exp_mat).m[2][2] = 1.0f;
1549     U(exp_mat).m[3][2] = 0.0f;
1550     U(exp_mat).m[0][3] = 0.0f;
1551     U(exp_mat).m[1][3] = 0.0f;
1552     U(exp_mat).m[2][3] = 0.0f;
1553     U(exp_mat).m[3][3] = 1.0f;
1554
1555     D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, &position);
1556
1557     expect_mat(&exp_mat, &got_mat);
1558
1559 /*______________*/
1560
1561     center.x = 3.0f;
1562     center.y = 4.0f;
1563
1564     angle = D3DX_PI/3.0f;
1565
1566     scale = 20.0f;
1567
1568     U(exp_mat).m[0][0] = 10.0f;
1569     U(exp_mat).m[1][0] = -17.320507f;
1570     U(exp_mat).m[2][0] = 0.0f;
1571     U(exp_mat).m[3][0] = 4.964102f;
1572     U(exp_mat).m[0][1] = 17.320507f;
1573     U(exp_mat).m[1][1] = 10.0f;
1574     U(exp_mat).m[2][1] = 0.0f;
1575     U(exp_mat).m[3][1] = -0.598076f;
1576     U(exp_mat).m[0][2] = 0.0f;
1577     U(exp_mat).m[1][2] = 0.0f;
1578     U(exp_mat).m[2][2] = 1.0f;
1579     U(exp_mat).m[3][2] = 0.0f;
1580     U(exp_mat).m[0][3] = 0.0f;
1581     U(exp_mat).m[1][3] = 0.0f;
1582     U(exp_mat).m[2][3] = 0.0f;
1583     U(exp_mat).m[3][3] = 1.0f;
1584
1585     D3DXMatrixAffineTransformation2D(&got_mat, scale, &center, angle, NULL);
1586
1587     expect_mat(&exp_mat, &got_mat);
1588
1589 /*______________*/
1590
1591     position.x = -6.0f;
1592     position.y = 7.0f;
1593
1594     angle = D3DX_PI/3.0f;
1595
1596     scale = 20.0f;
1597
1598     U(exp_mat).m[0][0] = 10.0f;
1599     U(exp_mat).m[1][0] = -17.320507f;
1600     U(exp_mat).m[2][0] = 0.0f;
1601     U(exp_mat).m[3][0] = -6.0f;
1602     U(exp_mat).m[0][1] = 17.320507f;
1603     U(exp_mat).m[1][1] = 10.0f;
1604     U(exp_mat).m[2][1] = 0.0f;
1605     U(exp_mat).m[3][1] = 7.0f;
1606     U(exp_mat).m[0][2] = 0.0f;
1607     U(exp_mat).m[1][2] = 0.0f;
1608     U(exp_mat).m[2][2] = 1.0f;
1609     U(exp_mat).m[3][2] = 0.0f;
1610     U(exp_mat).m[0][3] = 0.0f;
1611     U(exp_mat).m[1][3] = 0.0f;
1612     U(exp_mat).m[2][3] = 0.0f;
1613     U(exp_mat).m[3][3] = 1.0f;
1614
1615     D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, &position);
1616
1617     expect_mat(&exp_mat, &got_mat);
1618
1619 /*______________*/
1620
1621     angle = 5.0f * D3DX_PI/4.0f;
1622
1623     scale = -20.0f;
1624
1625     U(exp_mat).m[0][0] = 14.142133f;
1626     U(exp_mat).m[1][0] = -14.142133f;
1627     U(exp_mat).m[2][0] = 0.0f;
1628     U(exp_mat).m[3][0] = 0.0f;
1629     U(exp_mat).m[0][1] = 14.142133;
1630     U(exp_mat).m[1][1] = 14.142133f;
1631     U(exp_mat).m[2][1] = 0.0f;
1632     U(exp_mat).m[3][1] = 0.0f;
1633     U(exp_mat).m[0][2] = 0.0f;
1634     U(exp_mat).m[1][2] = 0.0f;
1635     U(exp_mat).m[2][2] = 1.0f;
1636     U(exp_mat).m[3][2] = 0.0f;
1637     U(exp_mat).m[0][3] = 0.0f;
1638     U(exp_mat).m[1][3] = 0.0f;
1639     U(exp_mat).m[2][3] = 0.0f;
1640     U(exp_mat).m[3][3] = 1.0f;
1641
1642     D3DXMatrixAffineTransformation2D(&got_mat, scale, NULL, angle, NULL);
1643
1644     expect_mat(&exp_mat, &got_mat);
1645 }
1646
1647 static void test_Matrix_Decompose(void)
1648 {
1649     D3DXMATRIX pm;
1650     D3DXQUATERNION exp_rotation, got_rotation;
1651     D3DXVECTOR3 exp_scale, got_scale, exp_translation, got_translation;
1652     HRESULT hr;
1653
1654 /*___________*/
1655
1656     U(pm).m[0][0] = -0.9238790f;
1657     U(pm).m[1][0] = -0.2705984f;
1658     U(pm).m[2][0] = 0.2705984f;
1659     U(pm).m[3][0] = -5.0f;
1660     U(pm).m[0][1] = 0.2705984f;
1661     U(pm).m[1][1] = 0.03806049f;
1662     U(pm).m[2][1] = 0.9619395f;
1663     U(pm).m[3][1] = 0.0f;
1664     U(pm).m[0][2] = -0.2705984f;
1665     U(pm).m[1][2] = 0.9619395f;
1666     U(pm).m[2][2] = 0.03806049f;
1667     U(pm).m[3][2] = 10.0f;
1668     U(pm).m[0][3] = 0.0f;
1669     U(pm).m[1][3] = 0.0f;
1670     U(pm).m[2][3] = 0.0f;
1671     U(pm).m[3][3] = 1.0f;
1672
1673     exp_scale.x = 1.0f;
1674     exp_scale.y = 1.0f;
1675     exp_scale.z = 1.0f;
1676
1677     exp_rotation.w = 0.195091f;
1678     exp_rotation.x = 0.0f;
1679     exp_rotation.y = 0.693520f;
1680     exp_rotation.z = 0.693520f;
1681
1682     exp_translation.x = -5.0f;
1683     exp_translation.y = 0.0f;
1684     exp_translation.z = 10.0f;
1685
1686     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1687
1688     compare_scale(exp_scale, got_scale);
1689     compare_rotation(exp_rotation, got_rotation);
1690     compare_translation(exp_translation, got_translation);
1691
1692 /*_________*/
1693
1694     U(pm).m[0][0] = -2.255813f;
1695     U(pm).m[1][0] = 1.302324f;
1696     U(pm).m[2][0] = 1.488373f;
1697     U(pm).m[3][0] = 1.0f;
1698     U(pm).m[0][1] = 1.302327f;
1699     U(pm).m[1][1] = -0.7209296f;
1700     U(pm).m[2][1] = 2.60465f;
1701     U(pm).m[3][1] = 2.0f;
1702     U(pm).m[0][2] = 1.488371f;
1703     U(pm).m[1][2] = 2.604651f;
1704     U(pm).m[2][2] = -0.02325551f;
1705     U(pm).m[3][2] = 3.0f;
1706     U(pm).m[0][3] = 0.0f;
1707     U(pm).m[1][3] = 0.0f;
1708     U(pm).m[2][3] = 0.0f;
1709     U(pm).m[3][3] = 1.0f;
1710
1711     exp_scale.x = 3.0f;
1712     exp_scale.y = 3.0f;
1713     exp_scale.z = 3.0f;
1714
1715     exp_rotation.w = 0.0;
1716     exp_rotation.x = 0.352180f;
1717     exp_rotation.y = 0.616316f;
1718     exp_rotation.z = 0.704361f;
1719
1720     exp_translation.x = 1.0f;
1721     exp_translation.y = 2.0f;
1722     exp_translation.z = 3.0f;
1723
1724     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1725
1726     compare_scale(exp_scale, got_scale);
1727     compare_rotation(exp_rotation, got_rotation);
1728     compare_translation(exp_translation, got_translation);
1729
1730 /*_____________*/
1731
1732     U(pm).m[0][0] = 2.427051f;
1733     U(pm).m[1][0] = 0.0f;
1734     U(pm).m[2][0] = 1.763355f;
1735     U(pm).m[3][0] = 5.0f;
1736     U(pm).m[0][1] = 0.0f;
1737     U(pm).m[1][1] = 3.0f;
1738     U(pm).m[2][1] = 0.0f;
1739     U(pm).m[3][1] = 5.0f;
1740     U(pm).m[0][2] = -1.763355f;
1741     U(pm).m[1][2] = 0.0f;
1742     U(pm).m[2][2] = 2.427051f;
1743     U(pm).m[3][2] = 5.0f;
1744     U(pm).m[0][3] = 0.0f;
1745     U(pm).m[1][3] = 0.0f;
1746     U(pm).m[2][3] = 0.0f;
1747     U(pm).m[3][3] = 1.0f;
1748
1749     exp_scale.x = 3.0f;
1750     exp_scale.y = 3.0f;
1751     exp_scale.z = 3.0f;
1752
1753     exp_rotation.w = 0.951057f;
1754     exp_rotation.x = 0.0f;
1755     exp_rotation.y = 0.309017f;
1756     exp_rotation.z = 0.0f;
1757
1758     exp_translation.x = 5.0f;
1759     exp_translation.y = 5.0f;
1760     exp_translation.z = 5.0f;
1761
1762     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1763
1764     compare_scale(exp_scale, got_scale);
1765     compare_rotation(exp_rotation, got_rotation);
1766     compare_translation(exp_translation, got_translation);
1767
1768 /*_____________*/
1769
1770     U(pm).m[0][0] = -0.9238790f;
1771     U(pm).m[1][0] = -0.2705984f;
1772     U(pm).m[2][0] = 0.2705984f;
1773     U(pm).m[3][0] = -5.0f;
1774     U(pm).m[0][1] = 0.2705984f;
1775     U(pm).m[1][1] = 0.03806049f;
1776     U(pm).m[2][1] = 0.9619395f;
1777     U(pm).m[3][1] = 0.0f;
1778     U(pm).m[0][2] = -0.2705984f;
1779     U(pm).m[1][2] = 0.9619395f;
1780     U(pm).m[2][2] = 0.03806049f;
1781     U(pm).m[3][2] = 10.0f;
1782     U(pm).m[0][3] = 0.0f;
1783     U(pm).m[1][3] = 0.0f;
1784     U(pm).m[2][3] = 0.0f;
1785     U(pm).m[3][3] = 1.0f;
1786
1787     exp_scale.x = 1.0f;
1788     exp_scale.y = 1.0f;
1789     exp_scale.z = 1.0f;
1790
1791     exp_rotation.w = 0.195091f;
1792     exp_rotation.x = 0.0f;
1793     exp_rotation.y = 0.693520f;
1794     exp_rotation.z = 0.693520f;
1795
1796     exp_translation.x = -5.0f;
1797     exp_translation.y = 0.0f;
1798     exp_translation.z = 10.0f;
1799
1800     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1801
1802     compare_scale(exp_scale, got_scale);
1803     compare_rotation(exp_rotation, got_rotation);
1804     compare_translation(exp_translation, got_translation);
1805
1806 /*__________*/
1807
1808     U(pm).m[0][0] = -0.9238790f;
1809     U(pm).m[1][0] = -0.5411968f;
1810     U(pm).m[2][0] = 0.8117952f;
1811     U(pm).m[3][0] = -5.0f;
1812     U(pm).m[0][1] = 0.2705984f;
1813     U(pm).m[1][1] = 0.07612098f;
1814     U(pm).m[2][1] = 2.8858185f;
1815     U(pm).m[3][1] = 0.0f;
1816     U(pm).m[0][2] = -0.2705984f;
1817     U(pm).m[1][2] = 1.9238790f;
1818     U(pm).m[2][2] = 0.11418147f;
1819     U(pm).m[3][2] = 10.0f;
1820     U(pm).m[0][3] = 0.0f;
1821     U(pm).m[1][3] = 0.0f;
1822     U(pm).m[2][3] = 0.0f;
1823     U(pm).m[3][3] = 1.0f;
1824
1825     exp_scale.x = 1.0f;
1826     exp_scale.y = 2.0f;
1827     exp_scale.z = 3.0f;
1828
1829     exp_rotation.w = 0.195091f;
1830     exp_rotation.x = 0.0f;
1831     exp_rotation.y = 0.693520f;
1832     exp_rotation.z = 0.693520f;
1833
1834     exp_translation.x = -5.0f;
1835     exp_translation.y = 0.0f;
1836     exp_translation.z = 10.0f;
1837
1838     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1839
1840     compare_scale(exp_scale, got_scale);
1841     compare_rotation(exp_rotation, got_rotation);
1842     compare_translation(exp_translation, got_translation);
1843
1844 /*__________*/
1845
1846     U(pm).m[0][0] = 0.7156004f;
1847     U(pm).m[1][0] = -0.5098283f;
1848     U(pm).m[2][0] = -0.4774843f;
1849     U(pm).m[3][0] = -5.0f;
1850     U(pm).m[0][1] = -0.6612288f;
1851     U(pm).m[1][1] = -0.7147621f;
1852     U(pm).m[2][1] = -0.2277977f;
1853     U(pm).m[3][1] = 0.0f;
1854     U(pm).m[0][2] = -0.2251499f;
1855     U(pm).m[1][2] = 0.4787385f;
1856     U(pm).m[2][2] = -0.8485972f;
1857     U(pm).m[3][2] = 10.0f;
1858     U(pm).m[0][3] = 0.0f;
1859     U(pm).m[1][3] = 0.0f;
1860     U(pm).m[2][3] = 0.0f;
1861     U(pm).m[3][3] = 1.0f;
1862
1863     exp_scale.x = 1.0f;
1864     exp_scale.y = 1.0f;
1865     exp_scale.z = 1.0f;
1866
1867     exp_rotation.w = 0.195091f;
1868     exp_rotation.x = 0.905395f;
1869     exp_rotation.y = -0.323355f;
1870     exp_rotation.z = -0.194013f;
1871
1872     exp_translation.x = -5.0f;
1873     exp_translation.y = 0.0f;
1874     exp_translation.z = 10.0f;
1875
1876     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1877
1878     compare_scale(exp_scale, got_scale);
1879     compare_rotation(exp_rotation, got_rotation);
1880     compare_translation(exp_translation, got_translation);
1881
1882 /*_____________*/
1883
1884     U(pm).m[0][0] = 0.06554436f;
1885     U(pm).m[1][0] = -0.6873012f;
1886     U(pm).m[2][0] = 0.7234092f;
1887     U(pm).m[3][0] = -5.0f;
1888     U(pm).m[0][1] = -0.9617381f;
1889     U(pm).m[1][1] = -0.2367795f;
1890     U(pm).m[2][1] = -0.1378230f;
1891     U(pm).m[3][1] = 0.0f;
1892     U(pm).m[0][2] = 0.2660144f;
1893     U(pm).m[1][2] = -0.6866967f;
1894     U(pm).m[2][2] = -0.6765233f;
1895     U(pm).m[3][2] = 10.0f;
1896     U(pm).m[0][3] = 0.0f;
1897     U(pm).m[1][3] = 0.0f;
1898     U(pm).m[2][3] = 0.0f;
1899     U(pm).m[3][3] = 1.0f;
1900
1901     exp_scale.x = 1.0f;
1902     exp_scale.y = 1.0f;
1903     exp_scale.z = 1.0f;
1904
1905     exp_rotation.w = -0.195091f;
1906     exp_rotation.x = 0.703358f;
1907     exp_rotation.y = -0.586131f;
1908     exp_rotation.z = 0.351679f;
1909
1910     exp_translation.x = -5.0f;
1911     exp_translation.y = 0.0f;
1912     exp_translation.z = 10.0f;
1913
1914     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1915
1916     compare_scale(exp_scale, got_scale);
1917     compare_rotation(exp_rotation, got_rotation);
1918     compare_translation(exp_translation, got_translation);
1919
1920 /*_________*/
1921
1922     U(pm).m[0][0] = 7.121047f;
1923     U(pm).m[1][0] = -5.883487f;
1924     U(pm).m[2][0] = 11.81843f;
1925     U(pm).m[3][0] = -5.0f;
1926     U(pm).m[0][1] = 5.883487f;
1927     U(pm).m[1][1] = -10.60660f;
1928     U(pm).m[2][1] = -8.825232f;
1929     U(pm).m[3][1] = 0.0f;
1930     U(pm).m[0][2] = 11.81843f;
1931     U(pm).m[1][2] = 8.8252320f;
1932     U(pm).m[2][2] = -2.727645f;
1933     U(pm).m[3][2] = 2.0f;
1934     U(pm).m[0][3] = 0.0f;
1935     U(pm).m[1][3] = 0.0f;
1936     U(pm).m[2][3] = 0.0f;
1937     U(pm).m[3][3] = 1.0f;
1938
1939     exp_scale.x = 15.0f;
1940     exp_scale.y = 15.0f;
1941     exp_scale.z = 15.0f;
1942
1943     exp_rotation.w = 0.382684f;
1944     exp_rotation.x = 0.768714f;
1945     exp_rotation.y = 0.0f;
1946     exp_rotation.z = 0.512476f;
1947
1948     exp_translation.x = -5.0f;
1949     exp_translation.y = 0.0f;
1950     exp_translation.z = 2.0f;
1951
1952     D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1953
1954     compare_scale(exp_scale, got_scale);
1955     compare_rotation(exp_rotation, got_rotation);
1956     compare_translation(exp_translation, got_translation);
1957
1958 /*__________*/
1959
1960     U(pm).m[0][0] = 0.0f;
1961     U(pm).m[1][0] = 4.0f;
1962     U(pm).m[2][0] = 5.0f;
1963     U(pm).m[3][0] = -5.0f;
1964     U(pm).m[0][1] = 0.0f;
1965     U(pm).m[1][1] = -10.60660f;
1966     U(pm).m[2][1] = -8.825232f;
1967     U(pm).m[3][1] = 6.0f;
1968     U(pm).m[0][2] = 0.0f;
1969     U(pm).m[1][2] = 8.8252320f;
1970     U(pm).m[2][2] = 2.727645;
1971     U(pm).m[3][2] = 3.0f;
1972     U(pm).m[0][3] = 0.0f;
1973     U(pm).m[1][3] = 0.0f;
1974     U(pm).m[2][3] = 0.0f;
1975     U(pm).m[3][3] = 1.0f;
1976
1977     hr = D3DXMatrixDecompose(&got_scale, &got_rotation, &got_translation, &pm);
1978     ok(hr == D3DERR_INVALIDCALL, "Expected D3DERR_INVALIDCALL, got %x\n", hr);
1979 }
1980
1981 static void test_Matrix_Transformation2D(void)
1982 {
1983     D3DXMATRIX exp_mat, got_mat;
1984     D3DXVECTOR2 rot_center, sca, sca_center, trans;
1985     FLOAT rot, sca_rot;
1986
1987     rot_center.x = 3.0f;
1988     rot_center.y = 4.0f;
1989
1990     sca.x = 12.0f;
1991     sca.y = -3.0f;
1992
1993     sca_center.x = 9.0f;
1994     sca_center.y = -5.0f;
1995
1996     trans.x = -6.0f;
1997     trans.y = 7.0f;
1998
1999     rot = D3DX_PI/3.0f;
2000
2001     sca_rot = 5.0f*D3DX_PI/4.0f;
2002
2003     U(exp_mat).m[0][0] = -4.245192f;
2004     U(exp_mat).m[1][0] = -0.147116f;
2005     U(exp_mat).m[2][0] = 0.0f;
2006     U(exp_mat).m[3][0] = 45.265373f;
2007     U(exp_mat).m[0][1] = 7.647113f;
2008     U(exp_mat).m[1][1] = 8.745192f;
2009     U(exp_mat).m[2][1] = 0.0f;
2010     U(exp_mat).m[3][1] = -13.401899f;
2011     U(exp_mat).m[0][2] = 0.0f;
2012     U(exp_mat).m[1][2] = 0.0f;
2013     U(exp_mat).m[2][2] = 1.0f;
2014     U(exp_mat).m[3][2] = 0.0f;
2015     U(exp_mat).m[0][3] = 0.0f;
2016     U(exp_mat).m[1][3] = 0.0f;
2017     U(exp_mat).m[2][3] = 0.0f;
2018     U(exp_mat).m[3][3] = 1.0f;
2019
2020     D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, &sca, &rot_center, rot, &trans);
2021
2022     expect_mat(&exp_mat, &got_mat);
2023
2024 /*_________*/
2025
2026     sca_center.x = 9.0f;
2027     sca_center.y = -5.0f;
2028
2029     trans.x = -6.0f;
2030     trans.y = 7.0f;
2031
2032     rot = D3DX_PI/3.0f;
2033
2034     sca_rot = 5.0f*D3DX_PI/4.0f;
2035
2036     U(exp_mat).m[0][0] = 0.50f;
2037     U(exp_mat).m[1][0] = -0.866025f;
2038     U(exp_mat).m[2][0] = 0.0f;
2039     U(exp_mat).m[3][0] = -6.0f;
2040     U(exp_mat).m[0][1] = 0.866025f;
2041     U(exp_mat).m[1][1] = 0.50f;
2042     U(exp_mat).m[2][1] = 0.0f;
2043     U(exp_mat).m[3][1] = 7.0f;
2044     U(exp_mat).m[0][2] = 0.0f;
2045     U(exp_mat).m[1][2] = 0.0f;
2046     U(exp_mat).m[2][2] = 1.0f;
2047     U(exp_mat).m[3][2] = 0.0f;
2048     U(exp_mat).m[0][3] = 0.0f;
2049     U(exp_mat).m[1][3] = 0.0f;
2050     U(exp_mat).m[2][3] = 0.0f;
2051     U(exp_mat).m[3][3] = 1.0f;
2052
2053     D3DXMatrixTransformation2D(&got_mat, &sca_center, sca_rot, NULL, NULL, rot, &trans);
2054
2055     expect_mat(&exp_mat, &got_mat);
2056
2057 /*_________*/
2058
2059     U(exp_mat).m[0][0] = 0.50f;
2060     U(exp_mat).m[1][0] = -0.866025f;
2061     U(exp_mat).m[2][0] = 0.0f;
2062     U(exp_mat).m[3][0] = 0.0f;
2063     U(exp_mat).m[0][1] = 0.866025f;
2064     U(exp_mat).m[1][1] = 0.50f;
2065     U(exp_mat).m[2][1] = 0.0f;
2066     U(exp_mat).m[3][1] = 0.0f;
2067     U(exp_mat).m[0][2] = 0.0f;
2068     U(exp_mat).m[1][2] = 0.0f;
2069     U(exp_mat).m[2][2] = 1.0f;
2070     U(exp_mat).m[3][2] = 0.0f;
2071     U(exp_mat).m[0][3] = 0.0f;
2072     U(exp_mat).m[1][3] = 0.0f;
2073     U(exp_mat).m[2][3] = 0.0f;
2074     U(exp_mat).m[3][3] = 1.0f;
2075
2076     D3DXMatrixTransformation2D(&got_mat, NULL, sca_rot, NULL, NULL, rot, NULL);
2077
2078     expect_mat(&exp_mat, &got_mat);
2079 }
2080
2081 static void test_D3DXVec_Array(void)
2082 {
2083     unsigned int i;
2084     D3DVIEWPORT9 viewport;
2085     D3DXMATRIX mat, projection, view, world;
2086     D3DXVECTOR4 inp_vec[ARRAY_SIZE];
2087     D3DXVECTOR4 out_vec[ARRAY_SIZE + 2];
2088     D3DXVECTOR4 exp_vec[ARRAY_SIZE + 2];
2089     D3DXPLANE inp_plane[ARRAY_SIZE];
2090     D3DXPLANE out_plane[ARRAY_SIZE + 2];
2091     D3DXPLANE exp_plane[ARRAY_SIZE + 2];
2092
2093     viewport.Width = 800; viewport.MinZ = 0.2f; viewport.X = 10;
2094     viewport.Height = 680; viewport.MaxZ = 0.9f; viewport.Y = 5;
2095
2096     for (i = 0; i < ARRAY_SIZE + 2; ++i) {
2097         out_vec[i].x = out_vec[i].y = out_vec[i].z = out_vec[i].w = 0.0f;
2098         exp_vec[i].x = exp_vec[i].y = exp_vec[i].z = exp_vec[i].w = 0.0f;
2099         out_plane[i].a = out_plane[i].b = out_plane[i].c = out_plane[i].d = 0.0f;
2100         exp_plane[i].a = exp_plane[i].b = exp_plane[i].c = exp_plane[i].d = 0.0f;
2101     }
2102
2103     for (i = 0; i < ARRAY_SIZE; ++i) {
2104         inp_plane[i].a = inp_plane[i].c = inp_vec[i].x = inp_vec[i].z = i;
2105         inp_plane[i].b = inp_plane[i].d = inp_vec[i].y = inp_vec[i].w = ARRAY_SIZE - i;
2106     }
2107
2108     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;
2109     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;
2110     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;
2111     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;
2112
2113     D3DXMatrixPerspectiveFovLH(&projection,D3DX_PI/4.0f,20.0f/17.0f,1.0f,1000.0f);
2114
2115     U(view).m[0][1] = 5.0f; U(view).m[0][2] = 7.0f; U(view).m[0][3] = 8.0f;
2116     U(view).m[1][0] = 11.0f; U(view).m[1][2] = 16.0f; U(view).m[1][3] = 33.0f;
2117     U(view).m[2][0] = 19.0f; U(view).m[2][1] = -21.0f; U(view).m[2][3] = 43.0f;
2118     U(view).m[3][0] = 2.0f; U(view).m[3][1] = 3.0f; U(view).m[3][2] = -4.0f;
2119     U(view).m[0][0] = 10.0f; U(view).m[1][1] = 20.0f; U(view).m[2][2] = 30.0f;
2120     U(view).m[3][3] = -40.0f;
2121
2122     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;
2123     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;
2124     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;
2125     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;
2126
2127     /* D3DXVec2TransformCoordArray */
2128     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;
2129     exp_vec[2].x = 0.653846f; exp_vec[2].y = 0.769231f;
2130     exp_vec[3].x = 0.625f;    exp_vec[3].y = 0.75f;
2131     exp_vec[4].x = 0.590909f; exp_vec[4].y = 8.0f/11.0f;
2132     exp_vec[5].x = 0.55f;     exp_vec[5].y = 0.7f;
2133     D3DXVec2TransformCoordArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2134     compare_vectors(exp_vec, out_vec);
2135
2136     /* D3DXVec2TransformNormalArray */
2137     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f;
2138     exp_vec[2].x = 21.0f; exp_vec[2].y = 26.0f;
2139     exp_vec[3].x = 17.0f; exp_vec[3].y = 22.0f;
2140     exp_vec[4].x = 13.0f; exp_vec[4].y = 18.0f;
2141     exp_vec[5].x =  9.0f; exp_vec[5].y = 14.0f;
2142     D3DXVec2TransformNormalArray((D3DXVECTOR2*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2143     compare_vectors(exp_vec, out_vec);
2144
2145     /* D3DXVec3TransformCoordArray */
2146     exp_vec[1].x = 0.678571f; exp_vec[1].y = 0.785714f;  exp_vec[1].z = 0.892857f;
2147     exp_vec[2].x = 0.671875f; exp_vec[2].y = 0.78125f;   exp_vec[2].z = 0.890625f;
2148     exp_vec[3].x = 6.0f/9.0f; exp_vec[3].y = 7.0f/9.0f;  exp_vec[3].z = 8.0f/9.0f;
2149     exp_vec[4].x = 0.6625f;   exp_vec[4].y = 0.775f;     exp_vec[4].z = 0.8875f;
2150     exp_vec[5].x = 0.659091f; exp_vec[5].y = 0.772727f;  exp_vec[5].z = 0.886364f;
2151     D3DXVec3TransformCoordArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2152     compare_vectors(exp_vec, out_vec);
2153
2154     /* D3DXVec3TransformNormalArray */
2155     exp_vec[1].x = 25.0f; exp_vec[1].y = 30.0f; exp_vec[1].z = 35.0f;
2156     exp_vec[2].x = 30.0f; exp_vec[2].y = 36.0f; exp_vec[2].z = 42.0f;
2157     exp_vec[3].x = 35.0f; exp_vec[3].y = 42.0f; exp_vec[3].z = 49.0f;
2158     exp_vec[4].x = 40.0f; exp_vec[4].y = 48.0f; exp_vec[4].z = 56.0f;
2159     exp_vec[5].x = 45.0f; exp_vec[5].y = 54.0f; exp_vec[5].z = 63.0f;
2160     D3DXVec3TransformNormalArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2161     compare_vectors(exp_vec, out_vec);
2162
2163     /* D3DXVec3ProjectArray */
2164     exp_vec[1].x = 1089.554199f; exp_vec[1].y = -226.590622f; exp_vec[1].z = 0.215273f;
2165     exp_vec[2].x = 1068.903320f; exp_vec[2].y =  103.085129f; exp_vec[2].z = 0.183050f;
2166     exp_vec[3].x = 1051.778931f; exp_vec[3].y =  376.462250f; exp_vec[3].z = 0.156329f;
2167     exp_vec[4].x = 1037.348877f; exp_vec[4].y =  606.827393f; exp_vec[4].z = 0.133813f;
2168     exp_vec[5].x = 1025.023560f; exp_vec[5].y =  803.591248f; exp_vec[5].z = 0.114581f;
2169     D3DXVec3ProjectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
2170     compare_vectors(exp_vec, out_vec);
2171
2172     /* D3DXVec3UnprojectArray */
2173     exp_vec[1].x = -6.124031f; exp_vec[1].y = 3.225360f; exp_vec[1].z = 0.620571f;
2174     exp_vec[2].x = -3.807109f; exp_vec[2].y = 2.046579f; exp_vec[2].z = 0.446894f;
2175     exp_vec[3].x = -2.922839f; exp_vec[3].y = 1.596689f; exp_vec[3].z = 0.380609f;
2176     exp_vec[4].x = -2.456225f; exp_vec[4].y = 1.359290f; exp_vec[4].z = 0.345632f;
2177     exp_vec[5].x = -2.167897f; exp_vec[5].y = 1.212597f; exp_vec[5].z = 0.324019f;
2178     D3DXVec3UnprojectArray((D3DXVECTOR3*)(out_vec + 1), sizeof(D3DXVECTOR4), (CONST D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &viewport, &projection, &view, &world, ARRAY_SIZE);
2179     compare_vectors(exp_vec, out_vec);
2180
2181     /* D3DXVec2TransformArray */
2182     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
2183     exp_vec[2].x = 34.0f; exp_vec[2].y = 40.0f; exp_vec[2].z = 46.0f; exp_vec[2].w = 52.0f;
2184     exp_vec[3].x = 30.0f; exp_vec[3].y = 36.0f; exp_vec[3].z = 42.0f; exp_vec[3].w = 48.0f;
2185     exp_vec[4].x = 26.0f; exp_vec[4].y = 32.0f; exp_vec[4].z = 38.0f; exp_vec[4].w = 44.0f;
2186     exp_vec[5].x = 22.0f; exp_vec[5].y = 28.0f; exp_vec[5].z = 34.0f; exp_vec[5].w = 40.0f;
2187     D3DXVec2TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR2*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2188     compare_vectors(exp_vec, out_vec);
2189
2190     /* D3DXVec3TransformArray */
2191     exp_vec[1].x = 38.0f; exp_vec[1].y = 44.0f; exp_vec[1].z = 50.0f; exp_vec[1].w = 56.0f;
2192     exp_vec[2].x = 43.0f; exp_vec[2].y = 50.0f; exp_vec[2].z = 57.0f; exp_vec[2].w = 64.0f;
2193     exp_vec[3].x = 48.0f; exp_vec[3].y = 56.0f; exp_vec[3].z = 64.0f; exp_vec[3].w = 72.0f;
2194     exp_vec[4].x = 53.0f; exp_vec[4].y = 62.0f; exp_vec[4].z = 71.0f; exp_vec[4].w = 80.0f;
2195     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f; exp_vec[5].z = 78.0f; exp_vec[5].w = 88.0f;
2196     D3DXVec3TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), (D3DXVECTOR3*)inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2197     compare_vectors(exp_vec, out_vec);
2198
2199     /* D3DXVec4TransformArray */
2200     exp_vec[1].x = 90.0f; exp_vec[1].y = 100.0f; exp_vec[1].z = 110.0f; exp_vec[1].w = 120.0f;
2201     exp_vec[2].x = 82.0f; exp_vec[2].y = 92.0f;  exp_vec[2].z = 102.0f; exp_vec[2].w = 112.0f;
2202     exp_vec[3].x = 74.0f; exp_vec[3].y = 84.0f;  exp_vec[3].z = 94.0f;  exp_vec[3].w = 104.0f;
2203     exp_vec[4].x = 66.0f; exp_vec[4].y = 76.0f;  exp_vec[4].z = 86.0f;  exp_vec[4].w = 96.0f;
2204     exp_vec[5].x = 58.0f; exp_vec[5].y = 68.0f;  exp_vec[5].z = 78.0f;  exp_vec[5].w = 88.0f;
2205     D3DXVec4TransformArray(out_vec + 1, sizeof(D3DXVECTOR4), inp_vec, sizeof(D3DXVECTOR4), &mat, ARRAY_SIZE);
2206     compare_vectors(exp_vec, out_vec);
2207
2208     /* D3DXPlaneTransformArray */
2209     exp_plane[1].a = 90.0f; exp_plane[1].b = 100.0f; exp_plane[1].c = 110.0f; exp_plane[1].d = 120.0f;
2210     exp_plane[2].a = 82.0f; exp_plane[2].b = 92.0f;  exp_plane[2].c = 102.0f; exp_plane[2].d = 112.0f;
2211     exp_plane[3].a = 74.0f; exp_plane[3].b = 84.0f;  exp_plane[3].c = 94.0f;  exp_plane[3].d = 104.0f;
2212     exp_plane[4].a = 66.0f; exp_plane[4].b = 76.0f;  exp_plane[4].c = 86.0f;  exp_plane[4].d = 96.0f;
2213     exp_plane[5].a = 58.0f; exp_plane[5].b = 68.0f;  exp_plane[5].c = 78.0f;  exp_plane[5].d = 88.0f;
2214     D3DXPlaneTransformArray(out_plane + 1, sizeof(D3DXPLANE), inp_plane, sizeof(D3DXPLANE), &mat, ARRAY_SIZE);
2215     compare_planes(exp_plane, out_plane);
2216 }
2217
2218 START_TEST(math)
2219 {
2220     D3DXColorTest();
2221     D3DXFresnelTest();
2222     D3DXMatrixTest();
2223     D3DXPlaneTest();
2224     D3DXQuaternionTest();
2225     D3DXVector2Test();
2226     D3DXVector3Test();
2227     D3DXVector4Test();
2228     test_matrix_stack();
2229     test_Matrix_AffineTransformation2D();
2230     test_Matrix_Decompose();
2231     test_Matrix_Transformation2D();
2232     test_D3DXVec_Array();
2233 }